coh_metrix_experiments.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regression analysis on fake and satire news articles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>X__1</th><th scope=col>DESPC</th><th scope=col>DESSC</th><th scope=col>DESWC</th><th scope=col>DESPL</th><th scope=col>DESPLd</th><th scope=col>DESSL</th><th scope=col>DESSLd</th><th scope=col>DESWLsy</th><th scope=col>DESWLsyd</th><th scope=col>⋯</th><th scope=col>WRDMEAc</th><th scope=col>WRDPOLc</th><th scope=col>WRDHYPn</th><th scope=col>WRDHYPv</th><th scope=col>WRDHYPnv</th><th scope=col>RDFRE</th><th scope=col>RDFKGL</th><th scope=col>RDL2</th><th scope=col>id</th><th scope=col>label</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>0      </td><td> 6     </td><td>19     </td><td>365    </td><td>3.167  </td><td>2.137  </td><td>19.368 </td><td>10.950 </td><td>1.600  </td><td>0.943  </td><td>⋯      </td><td>457.425</td><td>3.804  </td><td>5.321  </td><td>1.826  </td><td>1.896  </td><td>51.976 </td><td>10.782 </td><td>10.179 </td><td>100    </td><td>0      </td></tr>\n",
       "\t<tr><td>1      </td><td> 4     </td><td>23     </td><td>613    </td><td>5.750  </td><td>0.957  </td><td>26.913 </td><td>12.442 </td><td>1.475  </td><td>0.833  </td><td>⋯      </td><td>414.503</td><td>3.628  </td><td>5.618  </td><td>1.688  </td><td>1.587  </td><td>54.998 </td><td>12.209 </td><td>15.315 </td><td>101    </td><td>1      </td></tr>\n",
       "\t<tr><td>2      </td><td> 4     </td><td>24     </td><td>650    </td><td>6.000  </td><td>1.826  </td><td>27.167 </td><td>15.171 </td><td>1.382  </td><td>0.702  </td><td>⋯      </td><td>427.278</td><td>4.166  </td><td>5.395  </td><td>1.488  </td><td>1.560  </td><td>62.429 </td><td>11.280 </td><td>22.570 </td><td>102    </td><td>0      </td></tr>\n",
       "\t<tr><td>3      </td><td> 5     </td><td>20     </td><td>572    </td><td>4.000  </td><td>1.000  </td><td>28.900 </td><td>12.574 </td><td>1.507  </td><td>0.840  </td><td>⋯      </td><td>426.274</td><td>3.914  </td><td>6.171  </td><td>1.910  </td><td>1.979  </td><td>50.314 </td><td>13.347 </td><td>16.426 </td><td>103    </td><td>1      </td></tr>\n",
       "\t<tr><td>4      </td><td> 5     </td><td>24     </td><td>592    </td><td>4.800  </td><td>0.447  </td><td>24.792 </td><td>11.030 </td><td>1.492  </td><td>0.831  </td><td>⋯      </td><td>424.694</td><td>3.844  </td><td>5.743  </td><td>1.588  </td><td>1.731  </td><td>55.575 </td><td>11.636 </td><td>19.263 </td><td>104    </td><td>1      </td></tr>\n",
       "\t<tr><td>5      </td><td>10     </td><td>17     </td><td>315    </td><td>1.700  </td><td>1.567  </td><td>18.529 </td><td>12.334 </td><td>1.616  </td><td>0.942  </td><td>⋯      </td><td>430.746</td><td>3.959  </td><td>6.279  </td><td>1.788  </td><td>2.020  </td><td>51.314 </td><td>10.705 </td><td>15.545 </td><td>105    </td><td>0      </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       " X\\_\\_1 & DESPC & DESSC & DESWC & DESPL & DESPLd & DESSL & DESSLd & DESWLsy & DESWLsyd & ⋯ & WRDMEAc & WRDPOLc & WRDHYPn & WRDHYPv & WRDHYPnv & RDFRE & RDFKGL & RDL2 & id & label\\\\\n",
       "\\hline\n",
       "\t 0       &  6      & 19      & 365     & 3.167   & 2.137   & 19.368  & 10.950  & 1.600   & 0.943   & ⋯       & 457.425 & 3.804   & 5.321   & 1.826   & 1.896   & 51.976  & 10.782  & 10.179  & 100     & 0      \\\\\n",
       "\t 1       &  4      & 23      & 613     & 5.750   & 0.957   & 26.913  & 12.442  & 1.475   & 0.833   & ⋯       & 414.503 & 3.628   & 5.618   & 1.688   & 1.587   & 54.998  & 12.209  & 15.315  & 101     & 1      \\\\\n",
       "\t 2       &  4      & 24      & 650     & 6.000   & 1.826   & 27.167  & 15.171  & 1.382   & 0.702   & ⋯       & 427.278 & 4.166   & 5.395   & 1.488   & 1.560   & 62.429  & 11.280  & 22.570  & 102     & 0      \\\\\n",
       "\t 3       &  5      & 20      & 572     & 4.000   & 1.000   & 28.900  & 12.574  & 1.507   & 0.840   & ⋯       & 426.274 & 3.914   & 6.171   & 1.910   & 1.979   & 50.314  & 13.347  & 16.426  & 103     & 1      \\\\\n",
       "\t 4       &  5      & 24      & 592     & 4.800   & 0.447   & 24.792  & 11.030  & 1.492   & 0.831   & ⋯       & 424.694 & 3.844   & 5.743   & 1.588   & 1.731   & 55.575  & 11.636  & 19.263  & 104     & 1      \\\\\n",
       "\t 5       & 10      & 17      & 315     & 1.700   & 1.567   & 18.529  & 12.334  & 1.616   & 0.942   & ⋯       & 430.746 & 3.959   & 6.279   & 1.788   & 2.020   & 51.314  & 10.705  & 15.545  & 105     & 0      \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "X__1 | DESPC | DESSC | DESWC | DESPL | DESPLd | DESSL | DESSLd | DESWLsy | DESWLsyd | ⋯ | WRDMEAc | WRDPOLc | WRDHYPn | WRDHYPv | WRDHYPnv | RDFRE | RDFKGL | RDL2 | id | label | \n",
       "|---|---|---|---|---|---|\n",
       "| 0       |  6      | 19      | 365     | 3.167   | 2.137   | 19.368  | 10.950  | 1.600   | 0.943   | ⋯       | 457.425 | 3.804   | 5.321   | 1.826   | 1.896   | 51.976  | 10.782  | 10.179  | 100     | 0       | \n",
       "| 1       |  4      | 23      | 613     | 5.750   | 0.957   | 26.913  | 12.442  | 1.475   | 0.833   | ⋯       | 414.503 | 3.628   | 5.618   | 1.688   | 1.587   | 54.998  | 12.209  | 15.315  | 101     | 1       | \n",
       "| 2       |  4      | 24      | 650     | 6.000   | 1.826   | 27.167  | 15.171  | 1.382   | 0.702   | ⋯       | 427.278 | 4.166   | 5.395   | 1.488   | 1.560   | 62.429  | 11.280  | 22.570  | 102     | 0       | \n",
       "| 3       |  5      | 20      | 572     | 4.000   | 1.000   | 28.900  | 12.574  | 1.507   | 0.840   | ⋯       | 426.274 | 3.914   | 6.171   | 1.910   | 1.979   | 50.314  | 13.347  | 16.426  | 103     | 1       | \n",
       "| 4       |  5      | 24      | 592     | 4.800   | 0.447   | 24.792  | 11.030  | 1.492   | 0.831   | ⋯       | 424.694 | 3.844   | 5.743   | 1.588   | 1.731   | 55.575  | 11.636  | 19.263  | 104     | 1       | \n",
       "| 5       | 10      | 17      | 315     | 1.700   | 1.567   | 18.529  | 12.334  | 1.616   | 0.942   | ⋯       | 430.746 | 3.959   | 6.279   | 1.788   | 2.020   | 51.314  | 10.705  | 15.545  | 105     | 0       | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  X__1 DESPC DESSC DESWC DESPL DESPLd DESSL  DESSLd DESWLsy DESWLsyd ⋯ WRDMEAc\n",
       "1 0     6    19    365   3.167 2.137  19.368 10.950 1.600   0.943    ⋯ 457.425\n",
       "2 1     4    23    613   5.750 0.957  26.913 12.442 1.475   0.833    ⋯ 414.503\n",
       "3 2     4    24    650   6.000 1.826  27.167 15.171 1.382   0.702    ⋯ 427.278\n",
       "4 3     5    20    572   4.000 1.000  28.900 12.574 1.507   0.840    ⋯ 426.274\n",
       "5 4     5    24    592   4.800 0.447  24.792 11.030 1.492   0.831    ⋯ 424.694\n",
       "6 5    10    17    315   1.700 1.567  18.529 12.334 1.616   0.942    ⋯ 430.746\n",
       "  WRDPOLc WRDHYPn WRDHYPv WRDHYPnv RDFRE  RDFKGL RDL2   id  label\n",
       "1 3.804   5.321   1.826   1.896    51.976 10.782 10.179 100 0    \n",
       "2 3.628   5.618   1.688   1.587    54.998 12.209 15.315 101 1    \n",
       "3 4.166   5.395   1.488   1.560    62.429 11.280 22.570 102 0    \n",
       "4 3.914   6.171   1.910   1.979    50.314 13.347 16.426 103 1    \n",
       "5 3.844   5.743   1.588   1.731    55.575 11.636 19.263 104 1    \n",
       "6 3.959   6.279   1.788   2.020    51.314 10.705 15.545 105 0    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# reading the excel file which includes all the information\n",
    "library(\"readxl\")\n",
    "my_data <- read_excel(\"data/cohmetrix/output/satirefake_full.xlsx\")\n",
    "head(my_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Principal Component Analysis (PCA)\n",
    "To account for multicollineary in our regression model, we apply PCA on the full set of Coh-Metrix features first."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>421</li>\n",
       "\t<li>108</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 421\n",
       "\\item 108\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 421\n",
       "2. 108\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 421 108"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# to install the \"psych\" package, uncomment the two following lines:\n",
    "# options(download.file.method = \"wget\")\n",
    "# install.packages(\"psych\")\n",
    "library(\"psych\")\n",
    "\n",
    "# dropping the columns that we do not want in the PCA.\n",
    "drops <- c(\"X__1\", \"label\", \"id\")\n",
    "x <- my_data[, !(names(my_data) %in% c(drops))]\n",
    "ids <- my_data[\"id\"]\n",
    "y <- my_data[\"label\"]\n",
    "\n",
    "# printing eigenvalues if we want to find the number of components for PCA\n",
    "# print(eigen(cor(x)))\n",
    "\n",
    "dim(x)\n",
    "\n",
    "pca <- psych::principal(x, nfactors=108, rotate=\"varimax\")\n",
    "\n",
    "# if we want to print the loadings in the output\n",
    "# print(pca$loadings, cutoff = 0.4, sort = TRUE)\n",
    "\n",
    "vars = as.matrix(pca$scores)\n",
    "\n",
    "# writing the loading values in a csv file\n",
    "write.csv(pca$loadings,'data/cohmetrix/loadings.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y\n",
       "  0   1 \n",
       "235 186 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# check class bias\n",
    "table(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“glm.fit: fitted probabilities numerically 0 or 1 occurred”"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "glm(formula = unlist(y) ~ pca$scores, family = binomial(link = \"logit\"))\n",
       "\n",
       "Deviance Residuals: \n",
       "    Min       1Q   Median       3Q      Max  \n",
       "-2.9422  -0.3662  -0.0168   0.3091   3.2540  \n",
       "\n",
       "Coefficients:\n",
       "                  Estimate Std. Error z value Pr(>|z|)    \n",
       "(Intercept)     -0.6082665  0.2279775  -2.668 0.007628 ** \n",
       "pca$scoresRC2    0.0477449  0.2442210   0.195 0.845003    \n",
       "pca$scoresRC1    0.9348512  0.2595258   3.602 0.000316 ***\n",
       "pca$scoresRC4   -0.4184547  0.3282988  -1.275 0.202445    \n",
       "pca$scoresRC5    1.0646215  0.2490032   4.276 1.91e-05 ***\n",
       "pca$scoresRC8   -0.1590785  0.2001581  -0.795 0.426751    \n",
       "pca$scoresRC12  -0.9787187  0.4663562  -2.099 0.035848 *  \n",
       "pca$scoresRC7   -0.2443520  0.2259201  -1.082 0.279436    \n",
       "pca$scoresRC16  -0.2185818  0.2550803  -0.857 0.391493    \n",
       "pca$scoresRC63   0.0476309  0.2265603   0.210 0.833484    \n",
       "pca$scoresRC9    1.0402957  0.3683254   2.824 0.004737 ** \n",
       "pca$scoresRC36  -0.0233131  0.2317005  -0.101 0.919854    \n",
       "pca$scoresRC19  -0.5682087  0.2488118  -2.284 0.022390 *  \n",
       "pca$scoresRC67  -1.2776932  0.3032036  -4.214 2.51e-05 ***\n",
       "pca$scoresRC13  -0.9490296  0.3400076  -2.791 0.005251 ** \n",
       "pca$scoresRC20   0.7283023  0.2364640   3.080 0.002070 ** \n",
       "pca$scoresRC6   -1.3007038  0.2826023  -4.603 4.17e-06 ***\n",
       "pca$scoresRC23   0.5634218  0.2926821   1.925 0.054226 .  \n",
       "pca$scoresRC53  -0.8006475  0.2795398  -2.864 0.004181 ** \n",
       "pca$scoresRC14   0.0051819  0.2471640   0.021 0.983273    \n",
       "pca$scoresRC17  -0.7815130  0.2567691  -3.044 0.002337 ** \n",
       "pca$scoresRC15   0.5071440  0.2552831   1.987 0.046967 *  \n",
       "pca$scoresRC38   0.0972119  0.2047521   0.475 0.634945    \n",
       "pca$scoresRC30   0.1393847  0.2178171   0.640 0.522227    \n",
       "pca$scoresRC11  -0.3532733  0.2240084  -1.577 0.114783    \n",
       "pca$scoresRC18   0.2658187  0.2357796   1.127 0.259572    \n",
       "pca$scoresRC33   1.9373588  0.3118959   6.212 5.25e-10 ***\n",
       "pca$scoresRC49  -0.4591918  0.2339316  -1.963 0.049654 *  \n",
       "pca$scoresRC22  -0.7768578  0.2358256  -3.294 0.000987 ***\n",
       "pca$scoresRC31   0.1865316  0.2121673   0.879 0.379308    \n",
       "pca$scoresRC43  -0.0158793  0.2221491  -0.071 0.943015    \n",
       "pca$scoresRC42  -1.7412291  0.3139918  -5.545 2.93e-08 ***\n",
       "pca$scoresRC3   -0.3468099  0.2577010  -1.346 0.178372    \n",
       "pca$scoresRC27   0.1546054  0.1999241   0.773 0.439333    \n",
       "pca$scoresRC24   0.7030496  0.2294449   3.064 0.002183 ** \n",
       "pca$scoresRC32  -0.2604225  0.1916301  -1.359 0.174151    \n",
       "pca$scoresRC28  -0.5433769  0.2634802  -2.062 0.039179 *  \n",
       "pca$scoresRC29  -0.7301920  0.2488907  -2.934 0.003349 ** \n",
       "pca$scoresRC34  -0.1213284  0.2012803  -0.603 0.546653    \n",
       "pca$scoresRC21   0.3130247  0.2070583   1.512 0.130592    \n",
       "pca$scoresRC26   0.3579006  0.2424397   1.476 0.139878    \n",
       "pca$scoresRC25  -0.2697396  0.2168723  -1.244 0.213584    \n",
       "pca$scoresRC52  -0.3209735  0.2156726  -1.488 0.136686    \n",
       "pca$scoresRC37   0.8441793  0.2459411   3.432 0.000598 ***\n",
       "pca$scoresRC58  -0.5549735  0.2459836  -2.256 0.024062 *  \n",
       "pca$scoresRC41   0.1169467  0.2267553   0.516 0.606036    \n",
       "pca$scoresRC48   0.4764288  0.2040022   2.335 0.019522 *  \n",
       "pca$scoresRC35   0.0021975  0.2340943   0.009 0.992510    \n",
       "pca$scoresRC70  -0.0437849  0.2208320  -0.198 0.842832    \n",
       "pca$scoresRC55  -0.4693841  0.2286838  -2.053 0.040117 *  \n",
       "pca$scoresRC40  -0.8015403  0.2592273  -3.092 0.001988 ** \n",
       "pca$scoresRC44   0.0490527  0.2212936   0.222 0.824576    \n",
       "pca$scoresRC46  -0.0004112  0.2891079  -0.001 0.998865    \n",
       "pca$scoresRC57   0.0608734  0.2387107   0.255 0.798716    \n",
       "pca$scoresRC45   0.3035159  0.2713556   1.119 0.263346    \n",
       "pca$scoresRC72   0.0442774  0.2196414   0.202 0.840238    \n",
       "pca$scoresRC39  -0.1489586  0.2150725  -0.693 0.488562    \n",
       "pca$scoresRC50  -0.2108784  0.2088732  -1.010 0.312687    \n",
       "pca$scoresRC86   0.4247565  0.2478207   1.714 0.086535 .  \n",
       "pca$scoresRC47   0.9428996  0.2737120   3.445 0.000571 ***\n",
       "pca$scoresRC56   0.2309798  0.2108468   1.095 0.273304    \n",
       "pca$scoresRC60  -0.3254738  0.2168728  -1.501 0.133418    \n",
       "pca$scoresRC71   0.0159804  0.2257384   0.071 0.943563    \n",
       "pca$scoresRC62   0.1369359  0.2285451   0.599 0.549064    \n",
       "pca$scoresRC74  -0.0941839  0.2023260  -0.466 0.641570    \n",
       "pca$scoresRC73   0.8196682  0.2535321   3.233 0.001225 ** \n",
       "pca$scoresRC94  -0.5466776  0.1964298  -2.783 0.005385 ** \n",
       "pca$scoresRC65  -0.5185763  0.2020238  -2.567 0.010261 *  \n",
       "pca$scoresRC10  -0.4396342  0.2023808  -2.172 0.029832 *  \n",
       "pca$scoresRC77   0.3865919  0.2740703   1.411 0.158375    \n",
       "pca$scoresRC64  -0.1918209  0.2393994  -0.801 0.422982    \n",
       "pca$scoresRC61   0.7142172  0.2307440   3.095 0.001966 ** \n",
       "pca$scoresRC51  -0.2523074  0.2249125  -1.122 0.261947    \n",
       "pca$scoresRC84   0.7485856  0.2518233   2.973 0.002952 ** \n",
       "pca$scoresRC69  -0.2169474  0.2081338  -1.042 0.297251    \n",
       "pca$scoresRC76  -0.2500574  0.2338743  -1.069 0.284981    \n",
       "pca$scoresRC68  -0.0158116  0.2103238  -0.075 0.940074    \n",
       "pca$scoresRC66   0.5080429  0.2104088   2.415 0.015755 *  \n",
       "pca$scoresRC75   0.6168630  0.2375551   2.597 0.009412 ** \n",
       "pca$scoresRC80   0.4964392  0.2417927   2.053 0.040057 *  \n",
       "pca$scoresRC54   0.5924115  0.2264090   2.617 0.008882 ** \n",
       "pca$scoresRC79   0.0670511  0.2680851   0.250 0.802501    \n",
       "pca$scoresRC78  -0.2037504  0.2516168  -0.810 0.418076    \n",
       "pca$scoresRC83  -0.5611791  0.2118007  -2.650 0.008060 ** \n",
       "pca$scoresRC82  -0.7327629  0.2270127  -3.228 0.001247 ** \n",
       "pca$scoresRC81  -0.2788506  0.1951087  -1.429 0.152945    \n",
       "pca$scoresRC88  -0.4299520  0.2440616  -1.762 0.078128 .  \n",
       "pca$scoresRC85  -0.3201733  0.2371099  -1.350 0.176915    \n",
       "pca$scoresRC87   0.5715892  0.2281509   2.505 0.012234 *  \n",
       "pca$scoresRC90  -0.3545056  0.2090332  -1.696 0.089899 .  \n",
       "pca$scoresRC59   0.4221476  0.2156742   1.957 0.050308 .  \n",
       "pca$scoresRC92  -0.1519435  0.2243747  -0.677 0.498288    \n",
       "pca$scoresRC89   0.9061841  0.2581150   3.511 0.000447 ***\n",
       "pca$scoresRC91  -0.1949064  0.2398154  -0.813 0.416370    \n",
       "pca$scoresRC96   0.5275425  0.2190986   2.408 0.016050 *  \n",
       "pca$scoresRC93  -0.5109493  0.2363012  -2.162 0.030597 *  \n",
       "pca$scoresRC95   0.4142343  0.2227100   1.860 0.062890 .  \n",
       "pca$scoresRC97  -0.1686487  0.2156223  -0.782 0.434127    \n",
       "pca$scoresRC98   0.1247979  0.2200903   0.567 0.570693    \n",
       "pca$scoresRC99  -0.0568041  0.2458310  -0.231 0.817261    \n",
       "pca$scoresRC100  0.2002224  0.2011050   0.996 0.319439    \n",
       "pca$scoresRC102  0.0247059  0.1998462   0.124 0.901612    \n",
       "pca$scoresRC101  0.1997742  0.2068669   0.966 0.334188    \n",
       "pca$scoresRC103  0.6404018  0.2353799   2.721 0.006514 ** \n",
       "pca$scoresRC104 -0.5626878  0.2204530  -2.552 0.010698 *  \n",
       "pca$scoresRC105 -0.0821073  0.1889007  -0.435 0.663810    \n",
       "pca$scoresRC106 -0.1811163  0.1969861  -0.919 0.357867    \n",
       "pca$scoresRC107  0.2515328  0.2151242   1.169 0.242305    \n",
       "pca$scoresRC108  0.1327862  0.1973680   0.673 0.501084    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "(Dispersion parameter for binomial family taken to be 1)\n",
       "\n",
       "    Null deviance: 577.91  on 420  degrees of freedom\n",
       "Residual deviance: 232.43  on 312  degrees of freedom\n",
       "AIC: 450.43\n",
       "\n",
       "Number of Fisher Scoring iterations: 8\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# logistic regression using the PCA scores for predicting fake/satire label\n",
    "# label 0: fake\n",
    "# label 1: satire\n",
    "\n",
    "logitMod <- glm(unlist(y) ~ pca$scores, family = binomial(link = \"logit\"))\n",
    "summary(logitMod)\n",
    "\n",
    "# if we want the coefficients in a csv file.\n",
    "# library(broom)\n",
    "# write.csv(tidy(logitMod) , \"data/coefs.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stepwise backward regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start:  AIC=-688.63\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC7 + RC16 + \n",
      "    RC63 + RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + \n",
      "    RC53 + RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + \n",
      "    RC49 + RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + \n",
      "    RC28 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC35 + RC70 + RC55 + RC40 + RC44 + RC46 + RC57 + \n",
      "    RC45 + RC72 + RC39 + RC50 + RC86 + RC47 + RC56 + RC60 + RC71 + \n",
      "    RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + RC77 + RC64 + RC61 + \n",
      "    RC51 + RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + RC80 + RC54 + \n",
      "    RC79 + RC78 + RC83 + RC82 + RC81 + RC88 + RC85 + RC87 + RC90 + \n",
      "    RC59 + RC92 + RC89 + RC91 + RC96 + RC93 + RC95 + RC97 + RC98 + \n",
      "    RC99 + RC100 + RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + \n",
      "    RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC35   1    0.0000 48.867 -690.63\n",
      "- RC50   1    0.0001 48.867 -690.63\n",
      "- RC97   1    0.0006 48.868 -690.63\n",
      "- RC81   1    0.0009 48.868 -690.63\n",
      "- RC44   1    0.0022 48.869 -690.62\n",
      "- RC54   1    0.0030 48.870 -690.61\n",
      "- RC7    1    0.0032 48.870 -690.61\n",
      "- RC80   1    0.0036 48.871 -690.60\n",
      "- RC39   1    0.0046 48.872 -690.60\n",
      "- RC18   1    0.0072 48.874 -690.57\n",
      "- RC77   1    0.0080 48.875 -690.57\n",
      "- RC2    1    0.0102 48.877 -690.55\n",
      "- RC92   1    0.0110 48.878 -690.54\n",
      "- RC72   1    0.0110 48.878 -690.54\n",
      "- RC98   1    0.0127 48.880 -690.53\n",
      "- RC91   1    0.0137 48.881 -690.52\n",
      "- RC4    1    0.0171 48.884 -690.49\n",
      "- RC62   1    0.0189 48.886 -690.47\n",
      "- RC69   1    0.0192 48.886 -690.47\n",
      "- RC74   1    0.0199 48.887 -690.46\n",
      "- RC28   1    0.0209 48.888 -690.46\n",
      "- RC79   1    0.0251 48.892 -690.42\n",
      "- RC71   1    0.0260 48.893 -690.41\n",
      "- RC27   1    0.0268 48.894 -690.40\n",
      "- RC102  1    0.0317 48.899 -690.36\n",
      "- RC16   1    0.0322 48.899 -690.36\n",
      "- RC100  1    0.0338 48.901 -690.34\n",
      "- RC70   1    0.0378 48.905 -690.31\n",
      "- RC14   1    0.0393 48.906 -690.30\n",
      "- RC31   1    0.0435 48.911 -690.26\n",
      "- RC108  1    0.0469 48.914 -690.23\n",
      "- RC36   1    0.0486 48.916 -690.22\n",
      "- RC43   1    0.0486 48.916 -690.22\n",
      "- RC106  1    0.0500 48.917 -690.20\n",
      "- RC88   1    0.0539 48.921 -690.17\n",
      "- RC68   1    0.0557 48.923 -690.16\n",
      "- RC96   1    0.0704 48.938 -690.03\n",
      "- RC90   1    0.0738 48.941 -690.00\n",
      "- RC51   1    0.0797 48.947 -689.95\n",
      "- RC107  1    0.0836 48.951 -689.92\n",
      "- RC99   1    0.0843 48.952 -689.91\n",
      "- RC56   1    0.0871 48.954 -689.89\n",
      "- RC101  1    0.0883 48.955 -689.88\n",
      "- RC64   1    0.0884 48.956 -689.87\n",
      "- RC85   1    0.0892 48.956 -689.87\n",
      "- RC105  1    0.0969 48.964 -689.80\n",
      "- RC60   1    0.1025 48.970 -689.75\n",
      "- RC57   1    0.1037 48.971 -689.74\n",
      "- RC41   1    0.1050 48.972 -689.73\n",
      "- RC38   1    0.1057 48.973 -689.73\n",
      "- RC49   1    0.1117 48.979 -689.67\n",
      "- RC8    1    0.1186 48.986 -689.61\n",
      "- RC34   1    0.1403 49.007 -689.43\n",
      "- RC78   1    0.1551 49.022 -689.30\n",
      "- RC13   1    0.1766 49.044 -689.12\n",
      "- RC32   1    0.1949 49.062 -688.96\n",
      "- RC95   1    0.1965 49.064 -688.95\n",
      "- RC30   1    0.2034 49.071 -688.89\n",
      "- RC66   1    0.2058 49.073 -688.87\n",
      "- RC46   1    0.2101 49.077 -688.83\n",
      "<none>               48.867 -688.63\n",
      "- RC11   1    0.2421 49.109 -688.55\n",
      "- RC25   1    0.2515 49.119 -688.47\n",
      "- RC45   1    0.2586 49.126 -688.41\n",
      "- RC89   1    0.2740 49.141 -688.28\n",
      "- RC65   1    0.2801 49.147 -688.23\n",
      "- RC73   1    0.2894 49.157 -688.15\n",
      "- RC15   1    0.2962 49.163 -688.09\n",
      "- RC10   1    0.3027 49.170 -688.03\n",
      "- RC103  1    0.3389 49.206 -687.73\n",
      "- RC37   1    0.3419 49.209 -687.70\n",
      "- RC21   1    0.3714 49.239 -687.45\n",
      "- RC63   1    0.3778 49.245 -687.39\n",
      "- RC52   1    0.3855 49.253 -687.33\n",
      "- RC23   1    0.3879 49.255 -687.31\n",
      "- RC19   1    0.3926 49.260 -687.27\n",
      "- RC76   1    0.4678 49.335 -686.62\n",
      "- RC20   1    0.4731 49.340 -686.58\n",
      "- RC29   1    0.4763 49.343 -686.55\n",
      "- RC94   1    0.4831 49.350 -686.49\n",
      "- RC59   1    0.4903 49.358 -686.43\n",
      "- RC86   1    0.4928 49.360 -686.41\n",
      "- RC82   1    0.5050 49.372 -686.31\n",
      "- RC58   1    0.5059 49.373 -686.30\n",
      "- RC84   1    0.5309 49.398 -686.09\n",
      "- RC3    1    0.5402 49.407 -686.01\n",
      "- RC93   1    0.5424 49.410 -685.99\n",
      "- RC53   1    0.5662 49.433 -685.78\n",
      "- RC12   1    0.6287 49.496 -685.25\n",
      "- RC104  1    0.6297 49.497 -685.24\n",
      "- RC83   1    0.6351 49.502 -685.20\n",
      "- RC24   1    0.6593 49.526 -684.99\n",
      "- RC26   1    0.6896 49.557 -684.74\n",
      "- RC40   1    0.7144 49.582 -684.52\n",
      "- RC61   1    0.8305 49.698 -683.54\n",
      "- RC87   1    0.9585 49.826 -682.46\n",
      "- RC17   1    0.9928 49.860 -682.17\n",
      "- RC55   1    1.0957 49.963 -681.30\n",
      "- RC48   1    1.1208 49.988 -681.09\n",
      "- RC75   1    1.4890 50.356 -678.00\n",
      "- RC67   1    1.6642 50.531 -676.54\n",
      "- RC47   1    1.7211 50.588 -676.06\n",
      "- RC1    1    2.0313 50.898 -673.49\n",
      "- RC5    1    2.0926 50.960 -672.98\n",
      "- RC22   1    2.1035 50.971 -672.89\n",
      "- RC9    1    2.4389 51.306 -670.13\n",
      "- RC6    1    3.5711 52.438 -660.94\n",
      "- RC42   1    6.3545 55.222 -639.17\n",
      "- RC33   1    7.9116 56.779 -627.46\n",
      "\n",
      "Step:  AIC=-690.63\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC7 + RC16 + \n",
      "    RC63 + RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + \n",
      "    RC53 + RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + \n",
      "    RC49 + RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + \n",
      "    RC28 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC70 + RC55 + RC40 + RC44 + RC46 + RC57 + RC45 + \n",
      "    RC72 + RC39 + RC50 + RC86 + RC47 + RC56 + RC60 + RC71 + RC62 + \n",
      "    RC74 + RC73 + RC94 + RC65 + RC10 + RC77 + RC64 + RC61 + RC51 + \n",
      "    RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + RC80 + RC54 + RC79 + \n",
      "    RC78 + RC83 + RC82 + RC81 + RC88 + RC85 + RC87 + RC90 + RC59 + \n",
      "    RC92 + RC89 + RC91 + RC96 + RC93 + RC95 + RC97 + RC98 + RC99 + \n",
      "    RC100 + RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + \n",
      "    RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC50   1    0.0001 48.867 -692.63\n",
      "- RC97   1    0.0006 48.868 -692.63\n",
      "- RC81   1    0.0009 48.868 -692.63\n",
      "- RC44   1    0.0022 48.869 -692.62\n",
      "- RC54   1    0.0030 48.870 -692.61\n",
      "- RC7    1    0.0032 48.870 -692.61\n",
      "- RC80   1    0.0036 48.871 -692.60\n",
      "- RC39   1    0.0046 48.872 -692.60\n",
      "- RC18   1    0.0072 48.874 -692.57\n",
      "- RC77   1    0.0080 48.875 -692.57\n",
      "- RC2    1    0.0102 48.877 -692.55\n",
      "- RC92   1    0.0110 48.878 -692.54\n",
      "- RC72   1    0.0110 48.878 -692.54\n",
      "- RC98   1    0.0127 48.880 -692.53\n",
      "- RC91   1    0.0137 48.881 -692.52\n",
      "- RC4    1    0.0171 48.884 -692.49\n",
      "- RC62   1    0.0189 48.886 -692.47\n",
      "- RC69   1    0.0192 48.886 -692.47\n",
      "- RC74   1    0.0199 48.887 -692.46\n",
      "- RC28   1    0.0209 48.888 -692.46\n",
      "- RC79   1    0.0251 48.892 -692.42\n",
      "- RC71   1    0.0260 48.893 -692.41\n",
      "- RC27   1    0.0268 48.894 -692.40\n",
      "- RC102  1    0.0317 48.899 -692.36\n",
      "- RC16   1    0.0322 48.899 -692.36\n",
      "- RC100  1    0.0338 48.901 -692.34\n",
      "- RC70   1    0.0378 48.905 -692.31\n",
      "- RC14   1    0.0393 48.906 -692.30\n",
      "- RC31   1    0.0435 48.911 -692.26\n",
      "- RC108  1    0.0469 48.914 -692.23\n",
      "- RC36   1    0.0486 48.916 -692.22\n",
      "- RC43   1    0.0486 48.916 -692.22\n",
      "- RC106  1    0.0500 48.917 -692.20\n",
      "- RC88   1    0.0539 48.921 -692.17\n",
      "- RC68   1    0.0557 48.923 -692.16\n",
      "- RC96   1    0.0704 48.938 -692.03\n",
      "- RC90   1    0.0738 48.941 -692.00\n",
      "- RC51   1    0.0797 48.947 -691.95\n",
      "- RC107  1    0.0836 48.951 -691.92\n",
      "- RC99   1    0.0843 48.952 -691.91\n",
      "- RC56   1    0.0871 48.954 -691.89\n",
      "- RC101  1    0.0883 48.955 -691.88\n",
      "- RC64   1    0.0884 48.956 -691.87\n",
      "- RC85   1    0.0892 48.956 -691.87\n",
      "- RC105  1    0.0969 48.964 -691.80\n",
      "- RC60   1    0.1025 48.970 -691.75\n",
      "- RC57   1    0.1037 48.971 -691.74\n",
      "- RC41   1    0.1050 48.972 -691.73\n",
      "- RC38   1    0.1057 48.973 -691.73\n",
      "- RC49   1    0.1117 48.979 -691.67\n",
      "- RC8    1    0.1186 48.986 -691.61\n",
      "- RC34   1    0.1403 49.007 -691.43\n",
      "- RC78   1    0.1551 49.022 -691.30\n",
      "- RC13   1    0.1766 49.044 -691.12\n",
      "- RC32   1    0.1949 49.062 -690.96\n",
      "- RC95   1    0.1965 49.064 -690.95\n",
      "- RC30   1    0.2034 49.071 -690.89\n",
      "- RC66   1    0.2058 49.073 -690.87\n",
      "- RC46   1    0.2101 49.077 -690.83\n",
      "<none>               48.867 -690.63\n",
      "- RC11   1    0.2421 49.109 -690.55\n",
      "- RC25   1    0.2515 49.119 -690.47\n",
      "- RC45   1    0.2586 49.126 -690.41\n",
      "- RC89   1    0.2740 49.141 -690.28\n",
      "- RC65   1    0.2801 49.147 -690.23\n",
      "- RC73   1    0.2894 49.157 -690.15\n",
      "- RC15   1    0.2962 49.163 -690.09\n",
      "- RC10   1    0.3027 49.170 -690.03\n",
      "- RC103  1    0.3389 49.206 -689.73\n",
      "- RC37   1    0.3419 49.209 -689.70\n",
      "- RC21   1    0.3714 49.239 -689.45\n",
      "- RC63   1    0.3778 49.245 -689.39\n",
      "- RC52   1    0.3855 49.253 -689.33\n",
      "- RC23   1    0.3879 49.255 -689.31\n",
      "- RC19   1    0.3926 49.260 -689.27\n",
      "- RC76   1    0.4678 49.335 -688.62\n",
      "- RC20   1    0.4731 49.340 -688.58\n",
      "- RC29   1    0.4763 49.343 -688.55\n",
      "- RC94   1    0.4831 49.350 -688.49\n",
      "- RC59   1    0.4903 49.358 -688.43\n",
      "- RC86   1    0.4928 49.360 -688.41\n",
      "- RC82   1    0.5050 49.372 -688.31\n",
      "- RC58   1    0.5059 49.373 -688.30\n",
      "- RC84   1    0.5309 49.398 -688.09\n",
      "- RC3    1    0.5402 49.407 -688.01\n",
      "- RC93   1    0.5424 49.410 -687.99\n",
      "- RC53   1    0.5662 49.433 -687.78\n",
      "- RC12   1    0.6287 49.496 -687.25\n",
      "- RC104  1    0.6297 49.497 -687.24\n",
      "- RC83   1    0.6351 49.502 -687.20\n",
      "- RC24   1    0.6593 49.526 -686.99\n",
      "- RC26   1    0.6896 49.557 -686.74\n",
      "- RC40   1    0.7144 49.582 -686.52\n",
      "- RC61   1    0.8305 49.698 -685.54\n",
      "- RC87   1    0.9585 49.826 -684.46\n",
      "- RC17   1    0.9928 49.860 -684.17\n",
      "- RC55   1    1.0957 49.963 -683.30\n",
      "- RC48   1    1.1208 49.988 -683.09\n",
      "- RC75   1    1.4890 50.356 -680.00\n",
      "- RC67   1    1.6642 50.531 -678.54\n",
      "- RC47   1    1.7211 50.588 -678.06\n",
      "- RC1    1    2.0313 50.899 -675.49\n",
      "- RC5    1    2.0926 50.960 -674.98\n",
      "- RC22   1    2.1035 50.971 -674.89\n",
      "- RC9    1    2.4389 51.306 -672.13\n",
      "- RC6    1    3.5711 52.438 -662.94\n",
      "- RC42   1    6.3545 55.222 -641.17\n",
      "- RC33   1    7.9116 56.779 -629.46\n",
      "\n",
      "Step:  AIC=-692.63\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC7 + RC16 + \n",
      "    RC63 + RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + \n",
      "    RC53 + RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + \n",
      "    RC49 + RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + \n",
      "    RC28 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC70 + RC55 + RC40 + RC44 + RC46 + RC57 + RC45 + \n",
      "    RC72 + RC39 + RC86 + RC47 + RC56 + RC60 + RC71 + RC62 + RC74 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC77 + RC64 + RC61 + RC51 + RC84 + \n",
      "    RC69 + RC76 + RC68 + RC66 + RC75 + RC80 + RC54 + RC79 + RC78 + \n",
      "    RC83 + RC82 + RC81 + RC88 + RC85 + RC87 + RC90 + RC59 + RC92 + \n",
      "    RC89 + RC91 + RC96 + RC93 + RC95 + RC97 + RC98 + RC99 + RC100 + \n",
      "    RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC97   1    0.0006 48.868 -694.63\n",
      "- RC81   1    0.0009 48.868 -694.63\n",
      "- RC44   1    0.0022 48.869 -694.62\n",
      "- RC54   1    0.0030 48.870 -694.61\n",
      "- RC7    1    0.0032 48.870 -694.61\n",
      "- RC80   1    0.0036 48.871 -694.60\n",
      "- RC39   1    0.0046 48.872 -694.59\n",
      "- RC18   1    0.0072 48.874 -694.57\n",
      "- RC77   1    0.0080 48.875 -694.57\n",
      "- RC2    1    0.0102 48.877 -694.55\n",
      "- RC92   1    0.0110 48.878 -694.54\n",
      "- RC72   1    0.0110 48.878 -694.54\n",
      "- RC98   1    0.0127 48.880 -694.52\n",
      "- RC91   1    0.0137 48.881 -694.52\n",
      "- RC4    1    0.0171 48.884 -694.49\n",
      "- RC62   1    0.0189 48.886 -694.47\n",
      "- RC69   1    0.0192 48.886 -694.47\n",
      "- RC74   1    0.0199 48.887 -694.46\n",
      "- RC28   1    0.0209 48.888 -694.45\n",
      "- RC79   1    0.0251 48.892 -694.42\n",
      "- RC71   1    0.0260 48.893 -694.41\n",
      "- RC27   1    0.0268 48.894 -694.40\n",
      "- RC102  1    0.0317 48.899 -694.36\n",
      "- RC16   1    0.0322 48.899 -694.36\n",
      "- RC100  1    0.0338 48.901 -694.34\n",
      "- RC70   1    0.0378 48.905 -694.31\n",
      "- RC14   1    0.0393 48.907 -694.30\n",
      "- RC31   1    0.0435 48.911 -694.26\n",
      "- RC108  1    0.0469 48.914 -694.23\n",
      "- RC36   1    0.0486 48.916 -694.22\n",
      "- RC43   1    0.0486 48.916 -694.22\n",
      "- RC106  1    0.0500 48.917 -694.20\n",
      "- RC88   1    0.0539 48.921 -694.17\n",
      "- RC68   1    0.0557 48.923 -694.15\n",
      "- RC96   1    0.0704 48.938 -694.03\n",
      "- RC90   1    0.0738 48.941 -694.00\n",
      "- RC51   1    0.0797 48.947 -693.95\n",
      "- RC107  1    0.0836 48.951 -693.91\n",
      "- RC99   1    0.0843 48.952 -693.91\n",
      "- RC56   1    0.0871 48.954 -693.88\n",
      "- RC101  1    0.0883 48.955 -693.87\n",
      "- RC64   1    0.0884 48.956 -693.87\n",
      "- RC85   1    0.0892 48.956 -693.87\n",
      "- RC105  1    0.0969 48.964 -693.80\n",
      "- RC60   1    0.1025 48.970 -693.75\n",
      "- RC57   1    0.1037 48.971 -693.74\n",
      "- RC41   1    0.1050 48.972 -693.73\n",
      "- RC38   1    0.1057 48.973 -693.73\n",
      "- RC49   1    0.1117 48.979 -693.67\n",
      "- RC8    1    0.1186 48.986 -693.61\n",
      "- RC34   1    0.1403 49.008 -693.43\n",
      "- RC78   1    0.1551 49.022 -693.30\n",
      "- RC13   1    0.1766 49.044 -693.12\n",
      "- RC32   1    0.1949 49.062 -692.96\n",
      "- RC95   1    0.1965 49.064 -692.94\n",
      "- RC30   1    0.2034 49.071 -692.89\n",
      "- RC66   1    0.2058 49.073 -692.87\n",
      "- RC46   1    0.2101 49.077 -692.83\n",
      "<none>               48.867 -692.63\n",
      "- RC11   1    0.2421 49.109 -692.55\n",
      "- RC25   1    0.2515 49.119 -692.47\n",
      "- RC45   1    0.2586 49.126 -692.41\n",
      "- RC89   1    0.2740 49.141 -692.28\n",
      "- RC65   1    0.2801 49.147 -692.23\n",
      "- RC73   1    0.2894 49.157 -692.15\n",
      "- RC15   1    0.2962 49.163 -692.09\n",
      "- RC10   1    0.3027 49.170 -692.03\n",
      "- RC103  1    0.3389 49.206 -691.72\n",
      "- RC37   1    0.3419 49.209 -691.70\n",
      "- RC21   1    0.3714 49.239 -691.45\n",
      "- RC63   1    0.3778 49.245 -691.39\n",
      "- RC52   1    0.3855 49.253 -691.33\n",
      "- RC23   1    0.3879 49.255 -691.31\n",
      "- RC19   1    0.3926 49.260 -691.27\n",
      "- RC76   1    0.4678 49.335 -690.62\n",
      "- RC20   1    0.4731 49.340 -690.58\n",
      "- RC29   1    0.4763 49.344 -690.55\n",
      "- RC94   1    0.4831 49.350 -690.49\n",
      "- RC59   1    0.4903 49.358 -690.43\n",
      "- RC86   1    0.4928 49.360 -690.41\n",
      "- RC82   1    0.5050 49.372 -690.31\n",
      "- RC58   1    0.5059 49.373 -690.30\n",
      "- RC84   1    0.5309 49.398 -690.09\n",
      "- RC3    1    0.5402 49.407 -690.01\n",
      "- RC93   1    0.5424 49.410 -689.99\n",
      "- RC53   1    0.5662 49.433 -689.78\n",
      "- RC12   1    0.6287 49.496 -689.25\n",
      "- RC104  1    0.6297 49.497 -689.24\n",
      "- RC83   1    0.6351 49.502 -689.20\n",
      "- RC24   1    0.6593 49.526 -688.99\n",
      "- RC26   1    0.6896 49.557 -688.74\n",
      "- RC40   1    0.7144 49.582 -688.52\n",
      "- RC61   1    0.8305 49.698 -687.54\n",
      "- RC87   1    0.9585 49.826 -686.46\n",
      "- RC17   1    0.9928 49.860 -686.17\n",
      "- RC55   1    1.0957 49.963 -685.30\n",
      "- RC48   1    1.1208 49.988 -685.09\n",
      "- RC75   1    1.4890 50.356 -682.00\n",
      "- RC67   1    1.6642 50.531 -680.54\n",
      "- RC47   1    1.7211 50.588 -680.06\n",
      "- RC1    1    2.0313 50.899 -677.49\n",
      "- RC5    1    2.0926 50.960 -676.98\n",
      "- RC22   1    2.1035 50.971 -676.89\n",
      "- RC9    1    2.4389 51.306 -674.13\n",
      "- RC6    1    3.5711 52.438 -664.94\n",
      "- RC42   1    6.3545 55.222 -643.17\n",
      "- RC33   1    7.9116 56.779 -631.46\n",
      "\n",
      "Step:  AIC=-694.63\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC7 + RC16 + \n",
      "    RC63 + RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + \n",
      "    RC53 + RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + \n",
      "    RC49 + RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + \n",
      "    RC28 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC70 + RC55 + RC40 + RC44 + RC46 + RC57 + RC45 + \n",
      "    RC72 + RC39 + RC86 + RC47 + RC56 + RC60 + RC71 + RC62 + RC74 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC77 + RC64 + RC61 + RC51 + RC84 + \n",
      "    RC69 + RC76 + RC68 + RC66 + RC75 + RC80 + RC54 + RC79 + RC78 + \n",
      "    RC83 + RC82 + RC81 + RC88 + RC85 + RC87 + RC90 + RC59 + RC92 + \n",
      "    RC89 + RC91 + RC96 + RC93 + RC95 + RC98 + RC99 + RC100 + \n",
      "    RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC81   1    0.0009 48.869 -696.62\n",
      "- RC44   1    0.0022 48.870 -696.61\n",
      "- RC54   1    0.0030 48.871 -696.60\n",
      "- RC7    1    0.0032 48.871 -696.60\n",
      "- RC80   1    0.0036 48.871 -696.60\n",
      "- RC39   1    0.0046 48.872 -696.59\n",
      "- RC18   1    0.0072 48.875 -696.57\n",
      "- RC77   1    0.0080 48.876 -696.56\n",
      "- RC2    1    0.0102 48.878 -696.54\n",
      "- RC92   1    0.0110 48.879 -696.53\n",
      "- RC72   1    0.0110 48.879 -696.53\n",
      "- RC98   1    0.0127 48.880 -696.52\n",
      "- RC91   1    0.0137 48.881 -696.51\n",
      "- RC4    1    0.0171 48.885 -696.48\n",
      "- RC62   1    0.0189 48.887 -696.47\n",
      "- RC69   1    0.0192 48.887 -696.46\n",
      "- RC74   1    0.0199 48.888 -696.46\n",
      "- RC28   1    0.0209 48.889 -696.45\n",
      "- RC79   1    0.0251 48.893 -696.41\n",
      "- RC71   1    0.0260 48.894 -696.41\n",
      "- RC27   1    0.0268 48.895 -696.40\n",
      "- RC102  1    0.0317 48.899 -696.36\n",
      "- RC16   1    0.0322 48.900 -696.35\n",
      "- RC100  1    0.0338 48.902 -696.34\n",
      "- RC70   1    0.0378 48.906 -696.30\n",
      "- RC14   1    0.0393 48.907 -696.29\n",
      "- RC31   1    0.0435 48.911 -696.26\n",
      "- RC108  1    0.0469 48.915 -696.23\n",
      "- RC36   1    0.0486 48.916 -696.21\n",
      "- RC43   1    0.0486 48.916 -696.21\n",
      "- RC106  1    0.0500 48.918 -696.20\n",
      "- RC88   1    0.0539 48.922 -696.17\n",
      "- RC68   1    0.0557 48.924 -696.15\n",
      "- RC96   1    0.0704 48.938 -696.02\n",
      "- RC90   1    0.0738 48.942 -695.99\n",
      "- RC51   1    0.0797 48.947 -695.94\n",
      "- RC107  1    0.0836 48.951 -695.91\n",
      "- RC99   1    0.0843 48.952 -695.90\n",
      "- RC56   1    0.0871 48.955 -695.88\n",
      "- RC101  1    0.0883 48.956 -695.87\n",
      "- RC64   1    0.0884 48.956 -695.87\n",
      "- RC85   1    0.0892 48.957 -695.86\n",
      "- RC105  1    0.0969 48.965 -695.80\n",
      "- RC60   1    0.1025 48.970 -695.75\n",
      "- RC57   1    0.1037 48.971 -695.74\n",
      "- RC41   1    0.1050 48.973 -695.73\n",
      "- RC38   1    0.1057 48.973 -695.72\n",
      "- RC49   1    0.1117 48.979 -695.67\n",
      "- RC8    1    0.1186 48.986 -695.61\n",
      "- RC34   1    0.1403 49.008 -695.42\n",
      "- RC78   1    0.1551 49.023 -695.30\n",
      "- RC13   1    0.1766 49.044 -695.11\n",
      "- RC32   1    0.1949 49.063 -694.95\n",
      "- RC95   1    0.1965 49.064 -694.94\n",
      "- RC30   1    0.2034 49.071 -694.88\n",
      "- RC66   1    0.2058 49.074 -694.86\n",
      "- RC46   1    0.2101 49.078 -694.82\n",
      "<none>               48.868 -694.63\n",
      "- RC11   1    0.2421 49.110 -694.55\n",
      "- RC25   1    0.2515 49.119 -694.47\n",
      "- RC45   1    0.2586 49.126 -694.41\n",
      "- RC89   1    0.2740 49.142 -694.28\n",
      "- RC65   1    0.2801 49.148 -694.22\n",
      "- RC73   1    0.2894 49.157 -694.14\n",
      "- RC15   1    0.2962 49.164 -694.09\n",
      "- RC10   1    0.3027 49.171 -694.03\n",
      "- RC103  1    0.3389 49.207 -693.72\n",
      "- RC37   1    0.3419 49.210 -693.69\n",
      "- RC21   1    0.3714 49.239 -693.44\n",
      "- RC63   1    0.3778 49.246 -693.39\n",
      "- RC52   1    0.3855 49.253 -693.32\n",
      "- RC23   1    0.3879 49.256 -693.30\n",
      "- RC19   1    0.3926 49.260 -693.26\n",
      "- RC76   1    0.4678 49.336 -692.62\n",
      "- RC20   1    0.4731 49.341 -692.57\n",
      "- RC29   1    0.4763 49.344 -692.55\n",
      "- RC94   1    0.4831 49.351 -692.49\n",
      "- RC59   1    0.4903 49.358 -692.43\n",
      "- RC86   1    0.4928 49.361 -692.41\n",
      "- RC82   1    0.5050 49.373 -692.30\n",
      "- RC58   1    0.5059 49.374 -692.29\n",
      "- RC84   1    0.5309 49.399 -692.08\n",
      "- RC3    1    0.5402 49.408 -692.00\n",
      "- RC93   1    0.5424 49.410 -691.98\n",
      "- RC53   1    0.5662 49.434 -691.78\n",
      "- RC12   1    0.6287 49.496 -691.25\n",
      "- RC104  1    0.6297 49.497 -691.24\n",
      "- RC83   1    0.6351 49.503 -691.19\n",
      "- RC24   1    0.6593 49.527 -690.99\n",
      "- RC26   1    0.6896 49.557 -690.73\n",
      "- RC40   1    0.7144 49.582 -690.52\n",
      "- RC61   1    0.8305 49.698 -689.53\n",
      "- RC87   1    0.9585 49.826 -688.45\n",
      "- RC17   1    0.9928 49.861 -688.16\n",
      "- RC55   1    1.0957 49.964 -687.29\n",
      "- RC48   1    1.1208 49.989 -687.08\n",
      "- RC75   1    1.4890 50.357 -683.99\n",
      "- RC67   1    1.6642 50.532 -682.53\n",
      "- RC47   1    1.7211 50.589 -682.06\n",
      "- RC1    1    2.0313 50.899 -679.48\n",
      "- RC5    1    2.0926 50.960 -678.98\n",
      "- RC22   1    2.1035 50.971 -678.89\n",
      "- RC9    1    2.4389 51.307 -676.13\n",
      "- RC6    1    3.5711 52.439 -666.94\n",
      "- RC42   1    6.3545 55.222 -645.16\n",
      "- RC33   1    7.9116 56.779 -633.46\n",
      "\n",
      "Step:  AIC=-696.62\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC7 + RC16 + \n",
      "    RC63 + RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + \n",
      "    RC53 + RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + \n",
      "    RC49 + RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + \n",
      "    RC28 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC70 + RC55 + RC40 + RC44 + RC46 + RC57 + RC45 + \n",
      "    RC72 + RC39 + RC86 + RC47 + RC56 + RC60 + RC71 + RC62 + RC74 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC77 + RC64 + RC61 + RC51 + RC84 + \n",
      "    RC69 + RC76 + RC68 + RC66 + RC75 + RC80 + RC54 + RC79 + RC78 + \n",
      "    RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC92 + RC89 + \n",
      "    RC91 + RC96 + RC93 + RC95 + RC98 + RC99 + RC100 + RC102 + \n",
      "    RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC44   1    0.0022 48.871 -698.60\n",
      "- RC54   1    0.0030 48.872 -698.60\n",
      "- RC7    1    0.0032 48.872 -698.59\n",
      "- RC80   1    0.0036 48.872 -698.59\n",
      "- RC39   1    0.0046 48.873 -698.58\n",
      "- RC18   1    0.0072 48.876 -698.56\n",
      "- RC77   1    0.0080 48.877 -698.55\n",
      "- RC2    1    0.0102 48.879 -698.53\n",
      "- RC92   1    0.0110 48.880 -698.53\n",
      "- RC72   1    0.0110 48.880 -698.53\n",
      "- RC98   1    0.0127 48.881 -698.51\n",
      "- RC91   1    0.0137 48.882 -698.50\n",
      "- RC4    1    0.0171 48.886 -698.48\n",
      "- RC62   1    0.0189 48.888 -698.46\n",
      "- RC69   1    0.0192 48.888 -698.46\n",
      "- RC74   1    0.0199 48.889 -698.45\n",
      "- RC28   1    0.0209 48.890 -698.44\n",
      "- RC79   1    0.0251 48.894 -698.41\n",
      "- RC71   1    0.0260 48.895 -698.40\n",
      "- RC27   1    0.0268 48.895 -698.39\n",
      "- RC102  1    0.0317 48.900 -698.35\n",
      "- RC16   1    0.0322 48.901 -698.35\n",
      "- RC100  1    0.0338 48.902 -698.33\n",
      "- RC70   1    0.0378 48.906 -698.30\n",
      "- RC14   1    0.0393 48.908 -698.28\n",
      "- RC31   1    0.0435 48.912 -698.25\n",
      "- RC108  1    0.0469 48.916 -698.22\n",
      "- RC36   1    0.0486 48.917 -698.20\n",
      "- RC43   1    0.0486 48.917 -698.20\n",
      "- RC106  1    0.0500 48.919 -698.19\n",
      "- RC88   1    0.0539 48.923 -698.16\n",
      "- RC68   1    0.0557 48.924 -698.14\n",
      "- RC96   1    0.0704 48.939 -698.02\n",
      "- RC90   1    0.0738 48.942 -697.99\n",
      "- RC51   1    0.0797 48.948 -697.94\n",
      "- RC107  1    0.0836 48.952 -697.90\n",
      "- RC99   1    0.0843 48.953 -697.90\n",
      "- RC56   1    0.0871 48.956 -697.87\n",
      "- RC101  1    0.0883 48.957 -697.86\n",
      "- RC64   1    0.0884 48.957 -697.86\n",
      "- RC85   1    0.0892 48.958 -697.85\n",
      "- RC105  1    0.0969 48.966 -697.79\n",
      "- RC60   1    0.1025 48.971 -697.74\n",
      "- RC57   1    0.1037 48.972 -697.73\n",
      "- RC41   1    0.1050 48.974 -697.72\n",
      "- RC38   1    0.1057 48.974 -697.71\n",
      "- RC49   1    0.1117 48.980 -697.66\n",
      "- RC8    1    0.1186 48.987 -697.60\n",
      "- RC34   1    0.1403 49.009 -697.42\n",
      "- RC78   1    0.1551 49.024 -697.29\n",
      "- RC13   1    0.1766 49.045 -697.10\n",
      "- RC32   1    0.1949 49.064 -696.95\n",
      "- RC95   1    0.1965 49.065 -696.93\n",
      "- RC30   1    0.2034 49.072 -696.87\n",
      "- RC66   1    0.2058 49.074 -696.85\n",
      "- RC46   1    0.2101 49.079 -696.82\n",
      "<none>               48.869 -696.62\n",
      "- RC11   1    0.2421 49.111 -696.54\n",
      "- RC25   1    0.2515 49.120 -696.46\n",
      "- RC45   1    0.2586 49.127 -696.40\n",
      "- RC89   1    0.2740 49.143 -696.27\n",
      "- RC65   1    0.2801 49.149 -696.22\n",
      "- RC73   1    0.2894 49.158 -696.14\n",
      "- RC15   1    0.2962 49.165 -696.08\n",
      "- RC10   1    0.3027 49.171 -696.02\n",
      "- RC103  1    0.3389 49.208 -695.71\n",
      "- RC37   1    0.3419 49.211 -695.69\n",
      "- RC21   1    0.3714 49.240 -695.43\n",
      "- RC63   1    0.3778 49.246 -695.38\n",
      "- RC52   1    0.3855 49.254 -695.31\n",
      "- RC23   1    0.3879 49.257 -695.29\n",
      "- RC19   1    0.3926 49.261 -695.25\n",
      "- RC76   1    0.4678 49.336 -694.61\n",
      "- RC20   1    0.4731 49.342 -694.57\n",
      "- RC29   1    0.4763 49.345 -694.54\n",
      "- RC94   1    0.4831 49.352 -694.48\n",
      "- RC59   1    0.4903 49.359 -694.42\n",
      "- RC86   1    0.4928 49.361 -694.40\n",
      "- RC82   1    0.5050 49.374 -694.29\n",
      "- RC58   1    0.5059 49.375 -694.29\n",
      "- RC84   1    0.5309 49.400 -694.07\n",
      "- RC3    1    0.5402 49.409 -693.99\n",
      "- RC93   1    0.5424 49.411 -693.97\n",
      "- RC53   1    0.5662 49.435 -693.77\n",
      "- RC12   1    0.6287 49.497 -693.24\n",
      "- RC104  1    0.6297 49.498 -693.23\n",
      "- RC83   1    0.6351 49.504 -693.19\n",
      "- RC24   1    0.6593 49.528 -692.98\n",
      "- RC26   1    0.6896 49.558 -692.72\n",
      "- RC40   1    0.7144 49.583 -692.51\n",
      "- RC61   1    0.8305 49.699 -691.53\n",
      "- RC87   1    0.9585 49.827 -690.44\n",
      "- RC17   1    0.9928 49.861 -690.15\n",
      "- RC55   1    1.0957 49.964 -689.29\n",
      "- RC48   1    1.1208 49.989 -689.08\n",
      "- RC75   1    1.4890 50.358 -685.99\n",
      "- RC67   1    1.6642 50.533 -684.52\n",
      "- RC47   1    1.7211 50.590 -684.05\n",
      "- RC1    1    2.0313 50.900 -681.48\n",
      "- RC5    1    2.0926 50.961 -680.97\n",
      "- RC22   1    2.1035 50.972 -680.88\n",
      "- RC9    1    2.4389 51.308 -678.12\n",
      "- RC6    1    3.5711 52.440 -668.93\n",
      "- RC42   1    6.3545 55.223 -647.16\n",
      "- RC33   1    7.9116 56.780 -635.45\n",
      "\n",
      "Step:  AIC=-698.6\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC7 + RC16 + \n",
      "    RC63 + RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + \n",
      "    RC53 + RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + \n",
      "    RC49 + RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + \n",
      "    RC28 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC70 + RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + \n",
      "    RC39 + RC86 + RC47 + RC56 + RC60 + RC71 + RC62 + RC74 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC77 + RC64 + RC61 + RC51 + RC84 + RC69 + \n",
      "    RC76 + RC68 + RC66 + RC75 + RC80 + RC54 + RC79 + RC78 + RC83 + \n",
      "    RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC92 + RC89 + RC91 + \n",
      "    RC96 + RC93 + RC95 + RC98 + RC99 + RC100 + RC102 + RC101 + \n",
      "    RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC54   1    0.0030 48.874 -700.58\n",
      "- RC7    1    0.0032 48.874 -700.57\n",
      "- RC80   1    0.0036 48.874 -700.57\n",
      "- RC39   1    0.0046 48.875 -700.56\n",
      "- RC18   1    0.0072 48.878 -700.54\n",
      "- RC77   1    0.0080 48.879 -700.53\n",
      "- RC2    1    0.0102 48.881 -700.51\n",
      "- RC92   1    0.0110 48.882 -700.51\n",
      "- RC72   1    0.0110 48.882 -700.51\n",
      "- RC98   1    0.0127 48.884 -700.49\n",
      "- RC91   1    0.0137 48.885 -700.49\n",
      "- RC4    1    0.0171 48.888 -700.46\n",
      "- RC62   1    0.0189 48.890 -700.44\n",
      "- RC69   1    0.0192 48.890 -700.44\n",
      "- RC74   1    0.0199 48.891 -700.43\n",
      "- RC28   1    0.0209 48.892 -700.42\n",
      "- RC79   1    0.0251 48.896 -700.39\n",
      "- RC71   1    0.0260 48.897 -700.38\n",
      "- RC27   1    0.0268 48.898 -700.37\n",
      "- RC102  1    0.0317 48.903 -700.33\n",
      "- RC16   1    0.0322 48.903 -700.33\n",
      "- RC100  1    0.0338 48.905 -700.31\n",
      "- RC70   1    0.0378 48.909 -700.28\n",
      "- RC14   1    0.0393 48.910 -700.26\n",
      "- RC31   1    0.0435 48.914 -700.23\n",
      "- RC108  1    0.0469 48.918 -700.20\n",
      "- RC36   1    0.0486 48.919 -700.18\n",
      "- RC43   1    0.0486 48.920 -700.18\n",
      "- RC106  1    0.0500 48.921 -700.17\n",
      "- RC88   1    0.0539 48.925 -700.14\n",
      "- RC68   1    0.0557 48.927 -700.12\n",
      "- RC96   1    0.0704 48.941 -700.00\n",
      "- RC90   1    0.0738 48.945 -699.97\n",
      "- RC51   1    0.0797 48.951 -699.92\n",
      "- RC107  1    0.0836 48.954 -699.88\n",
      "- RC99   1    0.0843 48.955 -699.88\n",
      "- RC56   1    0.0871 48.958 -699.85\n",
      "- RC101  1    0.0883 48.959 -699.84\n",
      "- RC64   1    0.0884 48.959 -699.84\n",
      "- RC85   1    0.0892 48.960 -699.84\n",
      "- RC105  1    0.0969 48.968 -699.77\n",
      "- RC60   1    0.1025 48.973 -699.72\n",
      "- RC57   1    0.1037 48.975 -699.71\n",
      "- RC41   1    0.1050 48.976 -699.70\n",
      "- RC38   1    0.1057 48.977 -699.69\n",
      "- RC49   1    0.1117 48.983 -699.64\n",
      "- RC8    1    0.1186 48.989 -699.58\n",
      "- RC34   1    0.1403 49.011 -699.40\n",
      "- RC78   1    0.1551 49.026 -699.27\n",
      "- RC13   1    0.1766 49.047 -699.08\n",
      "- RC32   1    0.1949 49.066 -698.93\n",
      "- RC95   1    0.1965 49.067 -698.91\n",
      "- RC30   1    0.2034 49.074 -698.85\n",
      "- RC66   1    0.2058 49.077 -698.83\n",
      "- RC46   1    0.2101 49.081 -698.80\n",
      "<none>               48.871 -698.60\n",
      "- RC11   1    0.2421 49.113 -698.52\n",
      "- RC25   1    0.2515 49.122 -698.44\n",
      "- RC45   1    0.2586 49.129 -698.38\n",
      "- RC89   1    0.2740 49.145 -698.25\n",
      "- RC65   1    0.2801 49.151 -698.20\n",
      "- RC73   1    0.2894 49.160 -698.12\n",
      "- RC15   1    0.2962 49.167 -698.06\n",
      "- RC10   1    0.3027 49.174 -698.00\n",
      "- RC103  1    0.3389 49.210 -697.69\n",
      "- RC37   1    0.3419 49.213 -697.67\n",
      "- RC21   1    0.3714 49.242 -697.42\n",
      "- RC63   1    0.3778 49.249 -697.36\n",
      "- RC52   1    0.3855 49.256 -697.29\n",
      "- RC23   1    0.3879 49.259 -697.27\n",
      "- RC19   1    0.3926 49.263 -697.23\n",
      "- RC76   1    0.4678 49.339 -696.59\n",
      "- RC20   1    0.4731 49.344 -696.55\n",
      "- RC29   1    0.4763 49.347 -696.52\n",
      "- RC94   1    0.4831 49.354 -696.46\n",
      "- RC59   1    0.4903 49.361 -696.40\n",
      "- RC86   1    0.4928 49.364 -696.38\n",
      "- RC82   1    0.5050 49.376 -696.27\n",
      "- RC58   1    0.5059 49.377 -696.27\n",
      "- RC84   1    0.5309 49.402 -696.05\n",
      "- RC3    1    0.5402 49.411 -695.97\n",
      "- RC93   1    0.5424 49.413 -695.96\n",
      "- RC53   1    0.5662 49.437 -695.75\n",
      "- RC12   1    0.6287 49.500 -695.22\n",
      "- RC104  1    0.6297 49.501 -695.21\n",
      "- RC83   1    0.6351 49.506 -695.17\n",
      "- RC24   1    0.6593 49.530 -694.96\n",
      "- RC26   1    0.6896 49.560 -694.70\n",
      "- RC40   1    0.7144 49.585 -694.49\n",
      "- RC61   1    0.8305 49.701 -693.51\n",
      "- RC87   1    0.9585 49.829 -692.43\n",
      "- RC17   1    0.9928 49.864 -692.14\n",
      "- RC55   1    1.0957 49.967 -691.27\n",
      "- RC48   1    1.1208 49.992 -691.06\n",
      "- RC75   1    1.4890 50.360 -687.97\n",
      "- RC67   1    1.6642 50.535 -686.51\n",
      "- RC47   1    1.7211 50.592 -686.03\n",
      "- RC1    1    2.0313 50.902 -683.46\n",
      "- RC5    1    2.0926 50.964 -682.95\n",
      "- RC22   1    2.1035 50.974 -682.86\n",
      "- RC9    1    2.4389 51.310 -680.10\n",
      "- RC6    1    3.5711 52.442 -670.91\n",
      "- RC42   1    6.3545 55.225 -649.14\n",
      "- RC33   1    7.9116 56.782 -637.43\n",
      "\n",
      "Step:  AIC=-700.58\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC7 + RC16 + \n",
      "    RC63 + RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + \n",
      "    RC53 + RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + \n",
      "    RC49 + RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + \n",
      "    RC28 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC70 + RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + \n",
      "    RC39 + RC86 + RC47 + RC56 + RC60 + RC71 + RC62 + RC74 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC77 + RC64 + RC61 + RC51 + RC84 + RC69 + \n",
      "    RC76 + RC68 + RC66 + RC75 + RC80 + RC79 + RC78 + RC83 + RC82 + \n",
      "    RC88 + RC85 + RC87 + RC90 + RC59 + RC92 + RC89 + RC91 + RC96 + \n",
      "    RC93 + RC95 + RC98 + RC99 + RC100 + RC102 + RC101 + RC103 + \n",
      "    RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC7    1    0.0032 48.877 -702.55\n",
      "- RC80   1    0.0036 48.877 -702.55\n",
      "- RC39   1    0.0046 48.878 -702.54\n",
      "- RC18   1    0.0072 48.881 -702.51\n",
      "- RC77   1    0.0080 48.882 -702.51\n",
      "- RC2    1    0.0102 48.884 -702.49\n",
      "- RC92   1    0.0110 48.885 -702.48\n",
      "- RC72   1    0.0110 48.885 -702.48\n",
      "- RC98   1    0.0127 48.887 -702.47\n",
      "- RC91   1    0.0137 48.888 -702.46\n",
      "- RC4    1    0.0171 48.891 -702.43\n",
      "- RC62   1    0.0189 48.893 -702.41\n",
      "- RC69   1    0.0192 48.893 -702.41\n",
      "- RC74   1    0.0199 48.894 -702.41\n",
      "- RC28   1    0.0209 48.895 -702.40\n",
      "- RC79   1    0.0251 48.899 -702.36\n",
      "- RC71   1    0.0260 48.900 -702.35\n",
      "- RC27   1    0.0268 48.901 -702.35\n",
      "- RC102  1    0.0317 48.906 -702.30\n",
      "- RC16   1    0.0322 48.906 -702.30\n",
      "- RC100  1    0.0338 48.908 -702.29\n",
      "- RC70   1    0.0378 48.912 -702.25\n",
      "- RC14   1    0.0393 48.913 -702.24\n",
      "- RC31   1    0.0435 48.917 -702.20\n",
      "- RC108  1    0.0469 48.921 -702.17\n",
      "- RC36   1    0.0486 48.922 -702.16\n",
      "- RC43   1    0.0486 48.923 -702.16\n",
      "- RC106  1    0.0500 48.924 -702.15\n",
      "- RC88   1    0.0539 48.928 -702.11\n",
      "- RC68   1    0.0557 48.930 -702.10\n",
      "- RC96   1    0.0704 48.944 -701.97\n",
      "- RC90   1    0.0738 48.948 -701.94\n",
      "- RC51   1    0.0797 48.954 -701.89\n",
      "- RC107  1    0.0836 48.957 -701.86\n",
      "- RC99   1    0.0843 48.958 -701.85\n",
      "- RC56   1    0.0871 48.961 -701.83\n",
      "- RC101  1    0.0883 48.962 -701.82\n",
      "- RC64   1    0.0884 48.962 -701.82\n",
      "- RC85   1    0.0892 48.963 -701.81\n",
      "- RC105  1    0.0969 48.971 -701.74\n",
      "- RC60   1    0.1025 48.976 -701.69\n",
      "- RC57   1    0.1037 48.978 -701.68\n",
      "- RC41   1    0.1050 48.979 -701.67\n",
      "- RC38   1    0.1057 48.980 -701.67\n",
      "- RC49   1    0.1117 48.986 -701.62\n",
      "- RC8    1    0.1186 48.992 -701.56\n",
      "- RC34   1    0.1403 49.014 -701.37\n",
      "- RC78   1    0.1551 49.029 -701.24\n",
      "- RC13   1    0.1766 49.050 -701.06\n",
      "- RC32   1    0.1949 49.069 -700.90\n",
      "- RC95   1    0.1965 49.070 -700.89\n",
      "- RC30   1    0.2034 49.077 -700.83\n",
      "- RC66   1    0.2058 49.080 -700.81\n",
      "- RC46   1    0.2101 49.084 -700.77\n",
      "<none>               48.874 -700.58\n",
      "- RC11   1    0.2421 49.116 -700.50\n",
      "- RC25   1    0.2515 49.125 -700.42\n",
      "- RC45   1    0.2586 49.132 -700.36\n",
      "- RC89   1    0.2740 49.148 -700.22\n",
      "- RC65   1    0.2801 49.154 -700.17\n",
      "- RC73   1    0.2894 49.163 -700.09\n",
      "- RC15   1    0.2962 49.170 -700.03\n",
      "- RC10   1    0.3027 49.177 -699.98\n",
      "- RC103  1    0.3389 49.213 -699.67\n",
      "- RC37   1    0.3419 49.216 -699.64\n",
      "- RC21   1    0.3714 49.245 -699.39\n",
      "- RC63   1    0.3778 49.252 -699.34\n",
      "- RC52   1    0.3855 49.259 -699.27\n",
      "- RC23   1    0.3879 49.262 -699.25\n",
      "- RC19   1    0.3926 49.266 -699.21\n",
      "- RC76   1    0.4678 49.342 -698.57\n",
      "- RC20   1    0.4731 49.347 -698.52\n",
      "- RC29   1    0.4763 49.350 -698.49\n",
      "- RC94   1    0.4831 49.357 -698.44\n",
      "- RC59   1    0.4903 49.364 -698.37\n",
      "- RC86   1    0.4928 49.367 -698.35\n",
      "- RC82   1    0.5050 49.379 -698.25\n",
      "- RC58   1    0.5059 49.380 -698.24\n",
      "- RC84   1    0.5309 49.405 -698.03\n",
      "- RC3    1    0.5402 49.414 -697.95\n",
      "- RC93   1    0.5424 49.416 -697.93\n",
      "- RC53   1    0.5662 49.440 -697.73\n",
      "- RC12   1    0.6287 49.503 -697.20\n",
      "- RC104  1    0.6297 49.504 -697.19\n",
      "- RC83   1    0.6351 49.509 -697.14\n",
      "- RC24   1    0.6593 49.533 -696.94\n",
      "- RC26   1    0.6896 49.563 -696.68\n",
      "- RC40   1    0.7144 49.588 -696.47\n",
      "- RC61   1    0.8305 49.704 -695.48\n",
      "- RC87   1    0.9585 49.832 -694.40\n",
      "- RC17   1    0.9928 49.867 -694.11\n",
      "- RC55   1    1.0957 49.970 -693.24\n",
      "- RC48   1    1.1208 49.995 -693.03\n",
      "- RC75   1    1.4890 50.363 -689.94\n",
      "- RC67   1    1.6642 50.538 -688.48\n",
      "- RC47   1    1.7211 50.595 -688.01\n",
      "- RC1    1    2.0313 50.905 -685.43\n",
      "- RC5    1    2.0926 50.967 -684.93\n",
      "- RC22   1    2.1035 50.977 -684.84\n",
      "- RC9    1    2.4389 51.313 -682.08\n",
      "- RC6    1    3.5711 52.445 -672.89\n",
      "- RC42   1    6.3545 55.228 -651.12\n",
      "- RC33   1    7.9116 56.785 -639.41\n",
      "\n",
      "Step:  AIC=-702.55\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + \n",
      "    RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + \n",
      "    RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + RC49 + \n",
      "    RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + \n",
      "    RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + \n",
      "    RC48 + RC70 + RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + RC39 + \n",
      "    RC86 + RC47 + RC56 + RC60 + RC71 + RC62 + RC74 + RC73 + RC94 + \n",
      "    RC65 + RC10 + RC77 + RC64 + RC61 + RC51 + RC84 + RC69 + RC76 + \n",
      "    RC68 + RC66 + RC75 + RC80 + RC79 + RC78 + RC83 + RC82 + RC88 + \n",
      "    RC85 + RC87 + RC90 + RC59 + RC92 + RC89 + RC91 + RC96 + RC93 + \n",
      "    RC95 + RC98 + RC99 + RC100 + RC102 + RC101 + RC103 + RC104 + \n",
      "    RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC80   1    0.0036 48.881 -704.52\n",
      "- RC39   1    0.0046 48.882 -704.51\n",
      "- RC18   1    0.0072 48.884 -704.49\n",
      "- RC77   1    0.0080 48.885 -704.48\n",
      "- RC2    1    0.0102 48.887 -704.46\n",
      "- RC92   1    0.0110 48.888 -704.45\n",
      "- RC72   1    0.0110 48.888 -704.45\n",
      "- RC98   1    0.0127 48.890 -704.44\n",
      "- RC91   1    0.0137 48.891 -704.43\n",
      "- RC4    1    0.0171 48.894 -704.40\n",
      "- RC62   1    0.0189 48.896 -704.39\n",
      "- RC69   1    0.0192 48.896 -704.38\n",
      "- RC74   1    0.0199 48.897 -704.38\n",
      "- RC28   1    0.0209 48.898 -704.37\n",
      "- RC79   1    0.0251 48.902 -704.33\n",
      "- RC71   1    0.0260 48.903 -704.33\n",
      "- RC27   1    0.0268 48.904 -704.32\n",
      "- RC102  1    0.0317 48.909 -704.28\n",
      "- RC16   1    0.0322 48.909 -704.27\n",
      "- RC100  1    0.0338 48.911 -704.26\n",
      "- RC70   1    0.0378 48.915 -704.22\n",
      "- RC14   1    0.0393 48.916 -704.21\n",
      "- RC31   1    0.0435 48.921 -704.18\n",
      "- RC108  1    0.0469 48.924 -704.15\n",
      "- RC36   1    0.0486 48.926 -704.13\n",
      "- RC43   1    0.0486 48.926 -704.13\n",
      "- RC106  1    0.0500 48.927 -704.12\n",
      "- RC88   1    0.0539 48.931 -704.08\n",
      "- RC68   1    0.0557 48.933 -704.07\n",
      "- RC96   1    0.0704 48.948 -703.94\n",
      "- RC90   1    0.0738 48.951 -703.91\n",
      "- RC51   1    0.0797 48.957 -703.86\n",
      "- RC107  1    0.0836 48.961 -703.83\n",
      "- RC99   1    0.0843 48.961 -703.82\n",
      "- RC56   1    0.0871 48.964 -703.80\n",
      "- RC101  1    0.0883 48.965 -703.79\n",
      "- RC64   1    0.0884 48.966 -703.79\n",
      "- RC85   1    0.0892 48.966 -703.78\n",
      "- RC105  1    0.0969 48.974 -703.72\n",
      "- RC60   1    0.1025 48.980 -703.67\n",
      "- RC57   1    0.1037 48.981 -703.66\n",
      "- RC41   1    0.1050 48.982 -703.65\n",
      "- RC38   1    0.1057 48.983 -703.64\n",
      "- RC49   1    0.1117 48.989 -703.59\n",
      "- RC8    1    0.1186 48.996 -703.53\n",
      "- RC34   1    0.1403 49.017 -703.34\n",
      "- RC78   1    0.1551 49.032 -703.21\n",
      "- RC13   1    0.1766 49.054 -703.03\n",
      "- RC32   1    0.1949 49.072 -702.87\n",
      "- RC95   1    0.1965 49.074 -702.86\n",
      "- RC30   1    0.2034 49.080 -702.80\n",
      "- RC66   1    0.2058 49.083 -702.78\n",
      "- RC46   1    0.2101 49.087 -702.74\n",
      "<none>               48.877 -702.55\n",
      "- RC11   1    0.2421 49.119 -702.47\n",
      "- RC25   1    0.2515 49.129 -702.39\n",
      "- RC45   1    0.2586 49.136 -702.33\n",
      "- RC89   1    0.2740 49.151 -702.20\n",
      "- RC65   1    0.2801 49.157 -702.14\n",
      "- RC73   1    0.2894 49.167 -702.06\n",
      "- RC15   1    0.2962 49.173 -702.01\n",
      "- RC10   1    0.3027 49.180 -701.95\n",
      "- RC103  1    0.3389 49.216 -701.64\n",
      "- RC37   1    0.3419 49.219 -701.61\n",
      "- RC21   1    0.3714 49.249 -701.36\n",
      "- RC63   1    0.3778 49.255 -701.31\n",
      "- RC52   1    0.3855 49.263 -701.24\n",
      "- RC23   1    0.3879 49.265 -701.22\n",
      "- RC19   1    0.3926 49.270 -701.18\n",
      "- RC76   1    0.4678 49.345 -700.54\n",
      "- RC20   1    0.4731 49.350 -700.49\n",
      "- RC29   1    0.4763 49.353 -700.47\n",
      "- RC94   1    0.4831 49.360 -700.41\n",
      "- RC59   1    0.4903 49.367 -700.35\n",
      "- RC86   1    0.4928 49.370 -700.33\n",
      "- RC82   1    0.5050 49.382 -700.22\n",
      "- RC58   1    0.5059 49.383 -700.21\n",
      "- RC84   1    0.5309 49.408 -700.00\n",
      "- RC3    1    0.5402 49.417 -699.92\n",
      "- RC93   1    0.5424 49.420 -699.90\n",
      "- RC53   1    0.5662 49.443 -699.70\n",
      "- RC12   1    0.6287 49.506 -699.17\n",
      "- RC104  1    0.6297 49.507 -699.16\n",
      "- RC83   1    0.6351 49.512 -699.11\n",
      "- RC24   1    0.6593 49.536 -698.91\n",
      "- RC26   1    0.6896 49.567 -698.65\n",
      "- RC40   1    0.7144 49.592 -698.44\n",
      "- RC61   1    0.8305 49.708 -697.46\n",
      "- RC87   1    0.9585 49.836 -696.37\n",
      "- RC17   1    0.9928 49.870 -696.08\n",
      "- RC55   1    1.0957 49.973 -695.22\n",
      "- RC48   1    1.1208 49.998 -695.00\n",
      "- RC75   1    1.4890 50.366 -691.91\n",
      "- RC67   1    1.6642 50.541 -690.45\n",
      "- RC47   1    1.7211 50.598 -689.98\n",
      "- RC1    1    2.0313 50.908 -687.41\n",
      "- RC5    1    2.0926 50.970 -686.90\n",
      "- RC22   1    2.1035 50.981 -686.81\n",
      "- RC9    1    2.4389 51.316 -684.05\n",
      "- RC6    1    3.5711 52.448 -674.86\n",
      "- RC42   1    6.3545 55.232 -653.09\n",
      "- RC33   1    7.9116 56.789 -641.39\n",
      "\n",
      "Step:  AIC=-704.52\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + \n",
      "    RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + \n",
      "    RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + RC49 + \n",
      "    RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + \n",
      "    RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + \n",
      "    RC48 + RC70 + RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + RC39 + \n",
      "    RC86 + RC47 + RC56 + RC60 + RC71 + RC62 + RC74 + RC73 + RC94 + \n",
      "    RC65 + RC10 + RC77 + RC64 + RC61 + RC51 + RC84 + RC69 + RC76 + \n",
      "    RC68 + RC66 + RC75 + RC79 + RC78 + RC83 + RC82 + RC88 + RC85 + \n",
      "    RC87 + RC90 + RC59 + RC92 + RC89 + RC91 + RC96 + RC93 + RC95 + \n",
      "    RC98 + RC99 + RC100 + RC102 + RC101 + RC103 + RC104 + RC105 + \n",
      "    RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC39   1    0.0046 48.885 -706.48\n",
      "- RC18   1    0.0072 48.888 -706.46\n",
      "- RC77   1    0.0080 48.889 -706.45\n",
      "- RC2    1    0.0102 48.891 -706.43\n",
      "- RC92   1    0.0110 48.892 -706.42\n",
      "- RC72   1    0.0110 48.892 -706.42\n",
      "- RC98   1    0.0127 48.893 -706.41\n",
      "- RC91   1    0.0137 48.894 -706.40\n",
      "- RC4    1    0.0171 48.898 -706.37\n",
      "- RC62   1    0.0189 48.900 -706.36\n",
      "- RC69   1    0.0192 48.900 -706.35\n",
      "- RC74   1    0.0199 48.901 -706.35\n",
      "- RC28   1    0.0209 48.902 -706.34\n",
      "- RC79   1    0.0251 48.906 -706.30\n",
      "- RC71   1    0.0260 48.907 -706.29\n",
      "- RC27   1    0.0268 48.907 -706.29\n",
      "- RC102  1    0.0317 48.912 -706.25\n",
      "- RC16   1    0.0322 48.913 -706.24\n",
      "- RC100  1    0.0338 48.914 -706.23\n",
      "- RC70   1    0.0378 48.919 -706.19\n",
      "- RC14   1    0.0393 48.920 -706.18\n",
      "- RC31   1    0.0435 48.924 -706.14\n",
      "- RC108  1    0.0469 48.928 -706.11\n",
      "- RC36   1    0.0486 48.929 -706.10\n",
      "- RC43   1    0.0486 48.929 -706.10\n",
      "- RC106  1    0.0500 48.931 -706.09\n",
      "- RC88   1    0.0539 48.935 -706.05\n",
      "- RC68   1    0.0557 48.936 -706.04\n",
      "- RC96   1    0.0704 48.951 -705.91\n",
      "- RC90   1    0.0738 48.954 -705.88\n",
      "- RC51   1    0.0797 48.960 -705.83\n",
      "- RC107  1    0.0836 48.964 -705.80\n",
      "- RC99   1    0.0843 48.965 -705.79\n",
      "- RC56   1    0.0871 48.968 -705.77\n",
      "- RC101  1    0.0883 48.969 -705.76\n",
      "- RC64   1    0.0884 48.969 -705.76\n",
      "- RC85   1    0.0892 48.970 -705.75\n",
      "- RC105  1    0.0969 48.978 -705.68\n",
      "- RC60   1    0.1025 48.983 -705.64\n",
      "- RC57   1    0.1037 48.984 -705.63\n",
      "- RC41   1    0.1050 48.986 -705.61\n",
      "- RC38   1    0.1057 48.986 -705.61\n",
      "- RC49   1    0.1117 48.992 -705.56\n",
      "- RC8    1    0.1186 48.999 -705.50\n",
      "- RC34   1    0.1403 49.021 -705.31\n",
      "- RC78   1    0.1551 49.036 -705.18\n",
      "- RC13   1    0.1766 49.057 -705.00\n",
      "- RC32   1    0.1949 49.076 -704.84\n",
      "- RC95   1    0.1965 49.077 -704.83\n",
      "- RC30   1    0.2034 49.084 -704.77\n",
      "- RC66   1    0.2058 49.086 -704.75\n",
      "- RC46   1    0.2101 49.091 -704.71\n",
      "<none>               48.881 -704.52\n",
      "- RC11   1    0.2421 49.123 -704.44\n",
      "- RC25   1    0.2515 49.132 -704.36\n",
      "- RC45   1    0.2586 49.139 -704.30\n",
      "- RC89   1    0.2740 49.155 -704.16\n",
      "- RC65   1    0.2801 49.161 -704.11\n",
      "- RC73   1    0.2894 49.170 -704.03\n",
      "- RC15   1    0.2962 49.177 -703.97\n",
      "- RC10   1    0.3027 49.183 -703.92\n",
      "- RC103  1    0.3389 49.220 -703.61\n",
      "- RC37   1    0.3419 49.223 -703.58\n",
      "- RC21   1    0.3714 49.252 -703.33\n",
      "- RC63   1    0.3778 49.258 -703.28\n",
      "- RC52   1    0.3855 49.266 -703.21\n",
      "- RC23   1    0.3879 49.269 -703.19\n",
      "- RC19   1    0.3926 49.273 -703.15\n",
      "- RC76   1    0.4678 49.348 -702.51\n",
      "- RC20   1    0.4731 49.354 -702.46\n",
      "- RC29   1    0.4763 49.357 -702.44\n",
      "- RC94   1    0.4831 49.364 -702.38\n",
      "- RC59   1    0.4903 49.371 -702.32\n",
      "- RC86   1    0.4928 49.374 -702.29\n",
      "- RC82   1    0.5050 49.386 -702.19\n",
      "- RC58   1    0.5059 49.387 -702.18\n",
      "- RC84   1    0.5309 49.412 -701.97\n",
      "- RC3    1    0.5402 49.421 -701.89\n",
      "- RC93   1    0.5424 49.423 -701.87\n",
      "- RC53   1    0.5662 49.447 -701.67\n",
      "- RC12   1    0.6287 49.509 -701.14\n",
      "- RC104  1    0.6297 49.510 -701.13\n",
      "- RC83   1    0.6351 49.516 -701.08\n",
      "- RC24   1    0.6593 49.540 -700.88\n",
      "- RC26   1    0.6896 49.570 -700.62\n",
      "- RC40   1    0.7144 49.595 -700.41\n",
      "- RC61   1    0.8305 49.711 -699.43\n",
      "- RC87   1    0.9585 49.839 -698.34\n",
      "- RC17   1    0.9928 49.874 -698.05\n",
      "- RC55   1    1.0957 49.976 -697.19\n",
      "- RC48   1    1.1208 50.001 -696.97\n",
      "- RC75   1    1.4890 50.370 -693.88\n",
      "- RC67   1    1.6642 50.545 -692.42\n",
      "- RC47   1    1.7211 50.602 -691.95\n",
      "- RC1    1    2.0313 50.912 -689.38\n",
      "- RC5    1    2.0926 50.973 -688.87\n",
      "- RC22   1    2.1035 50.984 -688.78\n",
      "- RC9    1    2.4389 51.320 -686.02\n",
      "- RC6    1    3.5711 52.452 -676.83\n",
      "- RC42   1    6.3545 55.235 -655.06\n",
      "- RC33   1    7.9116 56.792 -643.36\n",
      "\n",
      "Step:  AIC=-706.48\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + \n",
      "    RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + \n",
      "    RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC18 + RC33 + RC49 + \n",
      "    RC22 + RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + \n",
      "    RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + \n",
      "    RC48 + RC70 + RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + RC86 + \n",
      "    RC47 + RC56 + RC60 + RC71 + RC62 + RC74 + RC73 + RC94 + RC65 + \n",
      "    RC10 + RC77 + RC64 + RC61 + RC51 + RC84 + RC69 + RC76 + RC68 + \n",
      "    RC66 + RC75 + RC79 + RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + \n",
      "    RC90 + RC59 + RC92 + RC89 + RC91 + RC96 + RC93 + RC95 + RC98 + \n",
      "    RC99 + RC100 + RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + \n",
      "    RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC18   1    0.0072 48.893 -708.42\n",
      "- RC77   1    0.0080 48.893 -708.41\n",
      "- RC2    1    0.0102 48.896 -708.39\n",
      "- RC92   1    0.0110 48.896 -708.38\n",
      "- RC72   1    0.0110 48.896 -708.38\n",
      "- RC98   1    0.0127 48.898 -708.37\n",
      "- RC91   1    0.0137 48.899 -708.36\n",
      "- RC4    1    0.0171 48.902 -708.33\n",
      "- RC62   1    0.0189 48.904 -708.32\n",
      "- RC69   1    0.0192 48.905 -708.31\n",
      "- RC74   1    0.0199 48.905 -708.31\n",
      "- RC28   1    0.0209 48.906 -708.30\n",
      "- RC79   1    0.0251 48.910 -708.26\n",
      "- RC71   1    0.0260 48.911 -708.26\n",
      "- RC27   1    0.0268 48.912 -708.25\n",
      "- RC102  1    0.0317 48.917 -708.21\n",
      "- RC16   1    0.0322 48.917 -708.20\n",
      "- RC100  1    0.0338 48.919 -708.19\n",
      "- RC70   1    0.0378 48.923 -708.15\n",
      "- RC14   1    0.0393 48.925 -708.14\n",
      "- RC31   1    0.0435 48.929 -708.10\n",
      "- RC108  1    0.0469 48.932 -708.08\n",
      "- RC36   1    0.0486 48.934 -708.06\n",
      "- RC43   1    0.0486 48.934 -708.06\n",
      "- RC106  1    0.0500 48.935 -708.05\n",
      "- RC88   1    0.0539 48.939 -708.01\n",
      "- RC68   1    0.0557 48.941 -708.00\n",
      "- RC96   1    0.0704 48.956 -707.87\n",
      "- RC90   1    0.0738 48.959 -707.84\n",
      "- RC51   1    0.0797 48.965 -707.79\n",
      "- RC107  1    0.0836 48.969 -707.76\n",
      "- RC99   1    0.0843 48.970 -707.75\n",
      "- RC56   1    0.0871 48.972 -707.73\n",
      "- RC101  1    0.0883 48.974 -707.72\n",
      "- RC64   1    0.0884 48.974 -707.72\n",
      "- RC85   1    0.0892 48.974 -707.71\n",
      "- RC105  1    0.0969 48.982 -707.65\n",
      "- RC60   1    0.1025 48.988 -707.60\n",
      "- RC57   1    0.1037 48.989 -707.59\n",
      "- RC41   1    0.1050 48.990 -707.58\n",
      "- RC38   1    0.1057 48.991 -707.57\n",
      "- RC49   1    0.1117 48.997 -707.52\n",
      "- RC8    1    0.1186 49.004 -707.46\n",
      "- RC34   1    0.1403 49.026 -707.27\n",
      "- RC78   1    0.1551 49.040 -707.14\n",
      "- RC13   1    0.1766 49.062 -706.96\n",
      "- RC32   1    0.1949 49.080 -706.80\n",
      "- RC95   1    0.1965 49.082 -706.79\n",
      "- RC30   1    0.2034 49.089 -706.73\n",
      "- RC66   1    0.2058 49.091 -706.71\n",
      "- RC46   1    0.2101 49.095 -706.67\n",
      "<none>               48.885 -706.48\n",
      "- RC11   1    0.2421 49.127 -706.40\n",
      "- RC25   1    0.2515 49.137 -706.32\n",
      "- RC45   1    0.2586 49.144 -706.26\n",
      "- RC89   1    0.2740 49.159 -706.13\n",
      "- RC65   1    0.2801 49.165 -706.07\n",
      "- RC73   1    0.2894 49.175 -705.99\n",
      "- RC15   1    0.2962 49.181 -705.94\n",
      "- RC10   1    0.3027 49.188 -705.88\n",
      "- RC103  1    0.3389 49.224 -705.57\n",
      "- RC37   1    0.3419 49.227 -705.54\n",
      "- RC21   1    0.3714 49.257 -705.29\n",
      "- RC63   1    0.3778 49.263 -705.24\n",
      "- RC52   1    0.3855 49.271 -705.17\n",
      "- RC23   1    0.3879 49.273 -705.15\n",
      "- RC19   1    0.3926 49.278 -705.11\n",
      "- RC76   1    0.4678 49.353 -704.47\n",
      "- RC20   1    0.4731 49.358 -704.42\n",
      "- RC29   1    0.4763 49.362 -704.40\n",
      "- RC94   1    0.4831 49.368 -704.34\n",
      "- RC59   1    0.4903 49.376 -704.28\n",
      "- RC86   1    0.4928 49.378 -704.26\n",
      "- RC82   1    0.5050 49.390 -704.15\n",
      "- RC58   1    0.5059 49.391 -704.14\n",
      "- RC84   1    0.5309 49.416 -703.93\n",
      "- RC3    1    0.5402 49.426 -703.85\n",
      "- RC93   1    0.5424 49.428 -703.83\n",
      "- RC53   1    0.5662 49.452 -703.63\n",
      "- RC12   1    0.6287 49.514 -703.10\n",
      "- RC104  1    0.6297 49.515 -703.09\n",
      "- RC83   1    0.6351 49.520 -703.04\n",
      "- RC24   1    0.6593 49.545 -702.84\n",
      "- RC26   1    0.6896 49.575 -702.58\n",
      "- RC40   1    0.7144 49.600 -702.37\n",
      "- RC61   1    0.8305 49.716 -701.39\n",
      "- RC87   1    0.9585 49.844 -700.30\n",
      "- RC17   1    0.9928 49.878 -700.01\n",
      "- RC55   1    1.0957 49.981 -699.15\n",
      "- RC48   1    1.1208 50.006 -698.94\n",
      "- RC75   1    1.4890 50.374 -695.85\n",
      "- RC67   1    1.6642 50.549 -694.39\n",
      "- RC47   1    1.7211 50.606 -693.91\n",
      "- RC1    1    2.0313 50.917 -691.34\n",
      "- RC5    1    2.0926 50.978 -690.83\n",
      "- RC22   1    2.1035 50.989 -690.74\n",
      "- RC9    1    2.4389 51.324 -687.98\n",
      "- RC6    1    3.5711 52.456 -678.80\n",
      "- RC42   1    6.3545 55.240 -657.03\n",
      "- RC33   1    7.9116 56.797 -645.33\n",
      "\n",
      "Step:  AIC=-708.42\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + \n",
      "    RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + \n",
      "    RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + \n",
      "    RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC70 + RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + RC86 + RC47 + \n",
      "    RC56 + RC60 + RC71 + RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + \n",
      "    RC77 + RC64 + RC61 + RC51 + RC84 + RC69 + RC76 + RC68 + RC66 + \n",
      "    RC75 + RC79 + RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + \n",
      "    RC59 + RC92 + RC89 + RC91 + RC96 + RC93 + RC95 + RC98 + RC99 + \n",
      "    RC100 + RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + \n",
      "    RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC77   1    0.0080 48.900 -710.35\n",
      "- RC2    1    0.0102 48.903 -710.33\n",
      "- RC92   1    0.0110 48.904 -710.32\n",
      "- RC72   1    0.0110 48.904 -710.32\n",
      "- RC98   1    0.0127 48.905 -710.31\n",
      "- RC91   1    0.0137 48.906 -710.30\n",
      "- RC4    1    0.0171 48.910 -710.27\n",
      "- RC62   1    0.0189 48.911 -710.25\n",
      "- RC69   1    0.0192 48.912 -710.25\n",
      "- RC74   1    0.0199 48.912 -710.25\n",
      "- RC28   1    0.0209 48.913 -710.24\n",
      "- RC79   1    0.0251 48.918 -710.20\n",
      "- RC71   1    0.0260 48.918 -710.19\n",
      "- RC27   1    0.0268 48.919 -710.19\n",
      "- RC102  1    0.0317 48.924 -710.14\n",
      "- RC16   1    0.0322 48.925 -710.14\n",
      "- RC100  1    0.0338 48.926 -710.13\n",
      "- RC70   1    0.0378 48.930 -710.09\n",
      "- RC14   1    0.0393 48.932 -710.08\n",
      "- RC31   1    0.0435 48.936 -710.04\n",
      "- RC108  1    0.0469 48.939 -710.01\n",
      "- RC36   1    0.0486 48.941 -710.00\n",
      "- RC43   1    0.0486 48.941 -710.00\n",
      "- RC106  1    0.0500 48.943 -709.99\n",
      "- RC88   1    0.0539 48.946 -709.95\n",
      "- RC68   1    0.0557 48.948 -709.94\n",
      "- RC96   1    0.0704 48.963 -709.81\n",
      "- RC90   1    0.0738 48.966 -709.78\n",
      "- RC51   1    0.0797 48.972 -709.73\n",
      "- RC107  1    0.0836 48.976 -709.70\n",
      "- RC99   1    0.0843 48.977 -709.69\n",
      "- RC56   1    0.0871 48.980 -709.67\n",
      "- RC101  1    0.0883 48.981 -709.66\n",
      "- RC64   1    0.0884 48.981 -709.66\n",
      "- RC85   1    0.0892 48.982 -709.65\n",
      "- RC105  1    0.0969 48.989 -709.58\n",
      "- RC60   1    0.1025 48.995 -709.53\n",
      "- RC57   1    0.1037 48.996 -709.52\n",
      "- RC41   1    0.1050 48.998 -709.51\n",
      "- RC38   1    0.1057 48.998 -709.51\n",
      "- RC49   1    0.1117 49.004 -709.46\n",
      "- RC8    1    0.1186 49.011 -709.40\n",
      "- RC34   1    0.1403 49.033 -709.21\n",
      "- RC78   1    0.1551 49.048 -709.08\n",
      "- RC13   1    0.1766 49.069 -708.90\n",
      "- RC32   1    0.1949 49.087 -708.74\n",
      "- RC95   1    0.1965 49.089 -708.73\n",
      "- RC30   1    0.2034 49.096 -708.67\n",
      "- RC66   1    0.2058 49.098 -708.65\n",
      "- RC46   1    0.2101 49.103 -708.61\n",
      "<none>               48.893 -708.42\n",
      "- RC11   1    0.2421 49.135 -708.34\n",
      "- RC25   1    0.2515 49.144 -708.26\n",
      "- RC45   1    0.2586 49.151 -708.20\n",
      "- RC89   1    0.2740 49.167 -708.06\n",
      "- RC65   1    0.2801 49.173 -708.01\n",
      "- RC73   1    0.2894 49.182 -707.93\n",
      "- RC15   1    0.2962 49.189 -707.87\n",
      "- RC10   1    0.3027 49.195 -707.82\n",
      "- RC103  1    0.3389 49.231 -707.51\n",
      "- RC37   1    0.3419 49.234 -707.48\n",
      "- RC21   1    0.3714 49.264 -707.23\n",
      "- RC63   1    0.3778 49.270 -707.18\n",
      "- RC52   1    0.3855 49.278 -707.11\n",
      "- RC23   1    0.3879 49.280 -707.09\n",
      "- RC19   1    0.3926 49.285 -707.05\n",
      "- RC76   1    0.4678 49.360 -706.41\n",
      "- RC20   1    0.4731 49.366 -706.36\n",
      "- RC29   1    0.4763 49.369 -706.33\n",
      "- RC94   1    0.4831 49.376 -706.28\n",
      "- RC59   1    0.4903 49.383 -706.22\n",
      "- RC86   1    0.4928 49.385 -706.19\n",
      "- RC82   1    0.5050 49.398 -706.09\n",
      "- RC58   1    0.5059 49.398 -706.08\n",
      "- RC84   1    0.5309 49.423 -705.87\n",
      "- RC3    1    0.5402 49.433 -705.79\n",
      "- RC93   1    0.5424 49.435 -705.77\n",
      "- RC53   1    0.5662 49.459 -705.57\n",
      "- RC12   1    0.6287 49.521 -705.04\n",
      "- RC104  1    0.6297 49.522 -705.03\n",
      "- RC83   1    0.6351 49.528 -704.98\n",
      "- RC24   1    0.6593 49.552 -704.78\n",
      "- RC26   1    0.6896 49.582 -704.52\n",
      "- RC40   1    0.7144 49.607 -704.31\n",
      "- RC61   1    0.8305 49.723 -703.33\n",
      "- RC87   1    0.9585 49.851 -702.24\n",
      "- RC17   1    0.9928 49.885 -701.95\n",
      "- RC55   1    1.0957 49.988 -701.09\n",
      "- RC48   1    1.1208 50.013 -700.87\n",
      "- RC75   1    1.4890 50.382 -697.79\n",
      "- RC67   1    1.6642 50.557 -696.33\n",
      "- RC47   1    1.7211 50.614 -695.85\n",
      "- RC1    1    2.0313 50.924 -693.28\n",
      "- RC5    1    2.0926 50.985 -692.77\n",
      "- RC22   1    2.1035 50.996 -692.68\n",
      "- RC9    1    2.4389 51.331 -689.92\n",
      "- RC6    1    3.5711 52.464 -680.74\n",
      "- RC42   1    6.3545 55.247 -658.97\n",
      "- RC33   1    7.9116 56.804 -647.27\n",
      "\n",
      "Step:  AIC=-710.35\n",
      "as.matrix(y) ~ RC2 + RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + \n",
      "    RC9 + RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + \n",
      "    RC14 + RC17 + RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + \n",
      "    RC31 + RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC70 + RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + RC86 + RC47 + \n",
      "    RC56 + RC60 + RC71 + RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + \n",
      "    RC64 + RC61 + RC51 + RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + \n",
      "    RC79 + RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + \n",
      "    RC92 + RC89 + RC91 + RC96 + RC93 + RC95 + RC98 + RC99 + RC100 + \n",
      "    RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC2    1    0.0102 48.911 -712.26\n",
      "- RC92   1    0.0110 48.912 -712.25\n",
      "- RC72   1    0.0110 48.912 -712.25\n",
      "- RC98   1    0.0127 48.913 -712.24\n",
      "- RC91   1    0.0137 48.914 -712.23\n",
      "- RC4    1    0.0171 48.918 -712.20\n",
      "- RC62   1    0.0189 48.919 -712.18\n",
      "- RC69   1    0.0192 48.920 -712.18\n",
      "- RC74   1    0.0199 48.920 -712.18\n",
      "- RC28   1    0.0209 48.921 -712.17\n",
      "- RC79   1    0.0251 48.926 -712.13\n",
      "- RC71   1    0.0260 48.926 -712.12\n",
      "- RC27   1    0.0268 48.927 -712.12\n",
      "- RC102  1    0.0317 48.932 -712.08\n",
      "- RC16   1    0.0322 48.933 -712.07\n",
      "- RC100  1    0.0338 48.934 -712.06\n",
      "- RC70   1    0.0378 48.938 -712.02\n",
      "- RC14   1    0.0393 48.940 -712.01\n",
      "- RC31   1    0.0435 48.944 -711.97\n",
      "- RC108  1    0.0469 48.947 -711.94\n",
      "- RC36   1    0.0486 48.949 -711.93\n",
      "- RC43   1    0.0486 48.949 -711.93\n",
      "- RC106  1    0.0500 48.951 -711.92\n",
      "- RC88   1    0.0539 48.954 -711.88\n",
      "- RC68   1    0.0557 48.956 -711.87\n",
      "- RC96   1    0.0704 48.971 -711.74\n",
      "- RC90   1    0.0738 48.974 -711.71\n",
      "- RC51   1    0.0797 48.980 -711.66\n",
      "- RC107  1    0.0836 48.984 -711.63\n",
      "- RC99   1    0.0843 48.985 -711.62\n",
      "- RC56   1    0.0871 48.988 -711.60\n",
      "- RC101  1    0.0883 48.989 -711.59\n",
      "- RC64   1    0.0884 48.989 -711.59\n",
      "- RC85   1    0.0892 48.990 -711.58\n",
      "- RC105  1    0.0969 48.997 -711.51\n",
      "- RC60   1    0.1025 49.003 -711.47\n",
      "- RC57   1    0.1037 49.004 -711.46\n",
      "- RC41   1    0.1050 49.006 -711.44\n",
      "- RC38   1    0.1057 49.006 -711.44\n",
      "- RC49   1    0.1117 49.012 -711.39\n",
      "- RC8    1    0.1186 49.019 -711.33\n",
      "- RC34   1    0.1403 49.041 -711.14\n",
      "- RC78   1    0.1551 49.056 -711.01\n",
      "- RC13   1    0.1766 49.077 -710.83\n",
      "- RC32   1    0.1949 49.095 -710.67\n",
      "- RC95   1    0.1965 49.097 -710.66\n",
      "- RC30   1    0.2034 49.104 -710.60\n",
      "- RC66   1    0.2058 49.106 -710.58\n",
      "- RC46   1    0.2101 49.111 -710.54\n",
      "<none>               48.900 -710.35\n",
      "- RC11   1    0.2421 49.143 -710.27\n",
      "- RC25   1    0.2515 49.152 -710.19\n",
      "- RC45   1    0.2586 49.159 -710.13\n",
      "- RC89   1    0.2740 49.175 -710.00\n",
      "- RC65   1    0.2801 49.181 -709.94\n",
      "- RC73   1    0.2894 49.190 -709.86\n",
      "- RC15   1    0.2962 49.197 -709.81\n",
      "- RC10   1    0.3027 49.203 -709.75\n",
      "- RC103  1    0.3389 49.239 -709.44\n",
      "- RC37   1    0.3419 49.242 -709.41\n",
      "- RC21   1    0.3714 49.272 -709.16\n",
      "- RC63   1    0.3778 49.278 -709.11\n",
      "- RC52   1    0.3855 49.286 -709.04\n",
      "- RC23   1    0.3879 49.288 -709.02\n",
      "- RC19   1    0.3926 49.293 -708.98\n",
      "- RC76   1    0.4678 49.368 -708.34\n",
      "- RC20   1    0.4731 49.374 -708.29\n",
      "- RC29   1    0.4763 49.377 -708.27\n",
      "- RC94   1    0.4831 49.384 -708.21\n",
      "- RC59   1    0.4903 49.391 -708.15\n",
      "- RC86   1    0.4928 49.393 -708.13\n",
      "- RC82   1    0.5050 49.406 -708.02\n",
      "- RC58   1    0.5059 49.406 -708.02\n",
      "- RC84   1    0.5309 49.431 -707.80\n",
      "- RC3    1    0.5402 49.441 -707.72\n",
      "- RC93   1    0.5424 49.443 -707.70\n",
      "- RC53   1    0.5662 49.467 -707.50\n",
      "- RC12   1    0.6287 49.529 -706.97\n",
      "- RC104  1    0.6297 49.530 -706.96\n",
      "- RC83   1    0.6351 49.536 -706.91\n",
      "- RC24   1    0.6593 49.560 -706.71\n",
      "- RC26   1    0.6896 49.590 -706.45\n",
      "- RC40   1    0.7144 49.615 -706.24\n",
      "- RC61   1    0.8305 49.731 -705.26\n",
      "- RC87   1    0.9585 49.859 -704.18\n",
      "- RC17   1    0.9928 49.893 -703.89\n",
      "- RC55   1    1.0957 49.996 -703.02\n",
      "- RC48   1    1.1208 50.021 -702.81\n",
      "- RC75   1    1.4890 50.390 -699.72\n",
      "- RC67   1    1.6642 50.565 -698.26\n",
      "- RC47   1    1.7211 50.622 -697.79\n",
      "- RC1    1    2.0313 50.932 -695.21\n",
      "- RC5    1    2.0926 50.993 -694.71\n",
      "- RC22   1    2.1035 51.004 -694.62\n",
      "- RC9    1    2.4389 51.339 -691.86\n",
      "- RC6    1    3.5711 52.472 -682.67\n",
      "- RC42   1    6.3545 55.255 -660.91\n",
      "- RC33   1    7.9116 56.812 -649.21\n",
      "\n",
      "Step:  AIC=-712.26\n",
      "as.matrix(y) ~ RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + \n",
      "    RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + \n",
      "    RC17 + RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + \n",
      "    RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + \n",
      "    RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + RC86 + RC47 + RC56 + \n",
      "    RC60 + RC71 + RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + RC64 + \n",
      "    RC61 + RC51 + RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + RC79 + \n",
      "    RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC92 + \n",
      "    RC89 + RC91 + RC96 + RC93 + RC95 + RC98 + RC99 + RC100 + \n",
      "    RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC92   1    0.0110 48.922 -714.17\n",
      "- RC72   1    0.0110 48.922 -714.16\n",
      "- RC98   1    0.0127 48.923 -714.15\n",
      "- RC91   1    0.0137 48.924 -714.14\n",
      "- RC4    1    0.0171 48.928 -714.11\n",
      "- RC62   1    0.0189 48.930 -714.10\n",
      "- RC69   1    0.0192 48.930 -714.09\n",
      "- RC74   1    0.0199 48.931 -714.09\n",
      "- RC28   1    0.0209 48.932 -714.08\n",
      "- RC79   1    0.0251 48.936 -714.04\n",
      "- RC71   1    0.0260 48.937 -714.04\n",
      "- RC27   1    0.0268 48.937 -714.03\n",
      "- RC102  1    0.0317 48.942 -713.99\n",
      "- RC16   1    0.0322 48.943 -713.98\n",
      "- RC100  1    0.0338 48.944 -713.97\n",
      "- RC70   1    0.0378 48.949 -713.93\n",
      "- RC14   1    0.0393 48.950 -713.92\n",
      "- RC31   1    0.0435 48.954 -713.89\n",
      "- RC108  1    0.0469 48.958 -713.86\n",
      "- RC36   1    0.0486 48.959 -713.84\n",
      "- RC43   1    0.0486 48.959 -713.84\n",
      "- RC106  1    0.0500 48.961 -713.83\n",
      "- RC88   1    0.0539 48.965 -713.80\n",
      "- RC68   1    0.0557 48.966 -713.78\n",
      "- RC96   1    0.0704 48.981 -713.65\n",
      "- RC90   1    0.0738 48.984 -713.63\n",
      "- RC51   1    0.0797 48.990 -713.57\n",
      "- RC107  1    0.0836 48.994 -713.54\n",
      "- RC99   1    0.0843 48.995 -713.53\n",
      "- RC56   1    0.0871 48.998 -713.51\n",
      "- RC101  1    0.0883 48.999 -713.50\n",
      "- RC64   1    0.0884 48.999 -713.50\n",
      "- RC85   1    0.0892 49.000 -713.49\n",
      "- RC105  1    0.0969 49.008 -713.43\n",
      "- RC60   1    0.1025 49.013 -713.38\n",
      "- RC57   1    0.1037 49.014 -713.37\n",
      "- RC41   1    0.1050 49.016 -713.36\n",
      "- RC38   1    0.1057 49.016 -713.35\n",
      "- RC49   1    0.1117 49.022 -713.30\n",
      "- RC8    1    0.1186 49.029 -713.24\n",
      "- RC34   1    0.1403 49.051 -713.05\n",
      "- RC78   1    0.1551 49.066 -712.93\n",
      "- RC13   1    0.1766 49.087 -712.74\n",
      "- RC32   1    0.1949 49.106 -712.59\n",
      "- RC95   1    0.1965 49.107 -712.57\n",
      "- RC30   1    0.2034 49.114 -712.51\n",
      "- RC66   1    0.2058 49.116 -712.49\n",
      "- RC46   1    0.2101 49.121 -712.45\n",
      "<none>               48.911 -712.26\n",
      "- RC11   1    0.2421 49.153 -712.18\n",
      "- RC25   1    0.2515 49.162 -712.10\n",
      "- RC45   1    0.2586 49.169 -712.04\n",
      "- RC89   1    0.2740 49.185 -711.91\n",
      "- RC65   1    0.2801 49.191 -711.86\n",
      "- RC73   1    0.2894 49.200 -711.78\n",
      "- RC15   1    0.2962 49.207 -711.72\n",
      "- RC10   1    0.3027 49.213 -711.66\n",
      "- RC103  1    0.3389 49.250 -711.35\n",
      "- RC37   1    0.3419 49.253 -711.33\n",
      "- RC21   1    0.3714 49.282 -711.08\n",
      "- RC63   1    0.3778 49.289 -711.02\n",
      "- RC52   1    0.3855 49.296 -710.95\n",
      "- RC23   1    0.3879 49.299 -710.93\n",
      "- RC19   1    0.3926 49.303 -710.89\n",
      "- RC76   1    0.4678 49.378 -710.25\n",
      "- RC20   1    0.4731 49.384 -710.21\n",
      "- RC29   1    0.4763 49.387 -710.18\n",
      "- RC94   1    0.4831 49.394 -710.12\n",
      "- RC59   1    0.4903 49.401 -710.06\n",
      "- RC86   1    0.4928 49.404 -710.04\n",
      "- RC82   1    0.5050 49.416 -709.94\n",
      "- RC58   1    0.5059 49.417 -709.93\n",
      "- RC84   1    0.5309 49.442 -709.72\n",
      "- RC3    1    0.5402 49.451 -709.64\n",
      "- RC93   1    0.5424 49.453 -709.62\n",
      "- RC53   1    0.5662 49.477 -709.41\n",
      "- RC12   1    0.6287 49.539 -708.88\n",
      "- RC104  1    0.6297 49.540 -708.87\n",
      "- RC83   1    0.6351 49.546 -708.83\n",
      "- RC24   1    0.6593 49.570 -708.62\n",
      "- RC26   1    0.6896 49.600 -708.37\n",
      "- RC40   1    0.7144 49.625 -708.16\n",
      "- RC61   1    0.8305 49.741 -707.17\n",
      "- RC87   1    0.9585 49.869 -706.09\n",
      "- RC17   1    0.9928 49.904 -705.80\n",
      "- RC55   1    1.0957 50.006 -704.93\n",
      "- RC48   1    1.1208 50.032 -704.72\n",
      "- RC75   1    1.4890 50.400 -701.63\n",
      "- RC67   1    1.6642 50.575 -700.17\n",
      "- RC47   1    1.7211 50.632 -699.70\n",
      "- RC1    1    2.0313 50.942 -697.13\n",
      "- RC5    1    2.0926 51.003 -696.62\n",
      "- RC22   1    2.1035 51.014 -696.53\n",
      "- RC9    1    2.4389 51.350 -693.77\n",
      "- RC6    1    3.5711 52.482 -684.59\n",
      "- RC42   1    6.3545 55.265 -662.84\n",
      "- RC33   1    7.9116 56.822 -651.14\n",
      "\n",
      "Step:  AIC=-714.17\n",
      "as.matrix(y) ~ RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + \n",
      "    RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + \n",
      "    RC17 + RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + \n",
      "    RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + \n",
      "    RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC72 + RC86 + RC47 + RC56 + \n",
      "    RC60 + RC71 + RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + RC64 + \n",
      "    RC61 + RC51 + RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + RC79 + \n",
      "    RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + \n",
      "    RC91 + RC96 + RC93 + RC95 + RC98 + RC99 + RC100 + RC102 + \n",
      "    RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC72   1    0.0110 48.933 -716.07\n",
      "- RC98   1    0.0127 48.934 -716.06\n",
      "- RC91   1    0.0137 48.935 -716.05\n",
      "- RC4    1    0.0171 48.939 -716.02\n",
      "- RC62   1    0.0189 48.941 -716.00\n",
      "- RC69   1    0.0192 48.941 -716.00\n",
      "- RC74   1    0.0199 48.942 -715.99\n",
      "- RC28   1    0.0209 48.943 -715.99\n",
      "- RC79   1    0.0251 48.947 -715.95\n",
      "- RC71   1    0.0260 48.948 -715.94\n",
      "- RC27   1    0.0268 48.948 -715.93\n",
      "- RC102  1    0.0317 48.953 -715.89\n",
      "- RC16   1    0.0322 48.954 -715.89\n",
      "- RC100  1    0.0338 48.955 -715.87\n",
      "- RC70   1    0.0378 48.960 -715.84\n",
      "- RC14   1    0.0393 48.961 -715.83\n",
      "- RC31   1    0.0435 48.965 -715.79\n",
      "- RC108  1    0.0469 48.969 -715.76\n",
      "- RC36   1    0.0486 48.970 -715.75\n",
      "- RC43   1    0.0486 48.970 -715.75\n",
      "- RC106  1    0.0500 48.972 -715.73\n",
      "- RC88   1    0.0539 48.976 -715.70\n",
      "- RC68   1    0.0557 48.977 -715.69\n",
      "- RC96   1    0.0704 48.992 -715.56\n",
      "- RC90   1    0.0738 48.996 -715.53\n",
      "- RC51   1    0.0797 49.001 -715.48\n",
      "- RC107  1    0.0836 49.005 -715.45\n",
      "- RC99   1    0.0843 49.006 -715.44\n",
      "- RC56   1    0.0871 49.009 -715.42\n",
      "- RC101  1    0.0883 49.010 -715.41\n",
      "- RC64   1    0.0884 49.010 -715.41\n",
      "- RC85   1    0.0892 49.011 -715.40\n",
      "- RC105  1    0.0969 49.019 -715.33\n",
      "- RC60   1    0.1025 49.024 -715.28\n",
      "- RC57   1    0.1037 49.025 -715.27\n",
      "- RC41   1    0.1050 49.027 -715.26\n",
      "- RC38   1    0.1057 49.027 -715.26\n",
      "- RC49   1    0.1117 49.033 -715.21\n",
      "- RC8    1    0.1186 49.040 -715.15\n",
      "- RC34   1    0.1403 49.062 -714.96\n",
      "- RC78   1    0.1551 49.077 -714.83\n",
      "- RC13   1    0.1766 49.098 -714.65\n",
      "- RC32   1    0.1949 49.117 -714.49\n",
      "- RC95   1    0.1965 49.118 -714.48\n",
      "- RC30   1    0.2034 49.125 -714.42\n",
      "- RC66   1    0.2058 49.128 -714.40\n",
      "- RC46   1    0.2101 49.132 -714.36\n",
      "<none>               48.922 -714.17\n",
      "- RC11   1    0.2421 49.164 -714.09\n",
      "- RC25   1    0.2515 49.173 -714.01\n",
      "- RC45   1    0.2586 49.180 -713.95\n",
      "- RC89   1    0.2740 49.196 -713.81\n",
      "- RC65   1    0.2801 49.202 -713.76\n",
      "- RC73   1    0.2894 49.211 -713.68\n",
      "- RC15   1    0.2962 49.218 -713.62\n",
      "- RC10   1    0.3027 49.224 -713.57\n",
      "- RC103  1    0.3389 49.261 -713.26\n",
      "- RC37   1    0.3419 49.264 -713.23\n",
      "- RC21   1    0.3714 49.293 -712.98\n",
      "- RC63   1    0.3778 49.300 -712.93\n",
      "- RC52   1    0.3855 49.307 -712.86\n",
      "- RC23   1    0.3879 49.310 -712.84\n",
      "- RC19   1    0.3926 49.314 -712.80\n",
      "- RC76   1    0.4678 49.389 -712.16\n",
      "- RC20   1    0.4731 49.395 -712.11\n",
      "- RC29   1    0.4763 49.398 -712.09\n",
      "- RC94   1    0.4831 49.405 -712.03\n",
      "- RC59   1    0.4903 49.412 -711.97\n",
      "- RC86   1    0.4928 49.415 -711.95\n",
      "- RC82   1    0.5050 49.427 -711.84\n",
      "- RC58   1    0.5059 49.428 -711.83\n",
      "- RC84   1    0.5309 49.453 -711.62\n",
      "- RC3    1    0.5402 49.462 -711.54\n",
      "- RC93   1    0.5424 49.464 -711.52\n",
      "- RC53   1    0.5662 49.488 -711.32\n",
      "- RC12   1    0.6287 49.550 -710.79\n",
      "- RC104  1    0.6297 49.551 -710.78\n",
      "- RC83   1    0.6351 49.557 -710.73\n",
      "- RC24   1    0.6593 49.581 -710.53\n",
      "- RC26   1    0.6896 49.611 -710.27\n",
      "- RC40   1    0.7144 49.636 -710.06\n",
      "- RC61   1    0.8305 49.752 -709.08\n",
      "- RC87   1    0.9585 49.880 -708.00\n",
      "- RC17   1    0.9928 49.915 -707.71\n",
      "- RC55   1    1.0957 50.017 -706.84\n",
      "- RC48   1    1.1208 50.043 -706.63\n",
      "- RC75   1    1.4890 50.411 -703.54\n",
      "- RC67   1    1.6642 50.586 -702.08\n",
      "- RC47   1    1.7211 50.643 -701.61\n",
      "- RC1    1    2.0313 50.953 -699.04\n",
      "- RC5    1    2.0926 51.014 -698.53\n",
      "- RC22   1    2.1035 51.025 -698.44\n",
      "- RC9    1    2.4389 51.361 -695.68\n",
      "- RC6    1    3.5711 52.493 -686.50\n",
      "- RC42   1    6.3545 55.276 -664.75\n",
      "- RC33   1    7.9116 56.833 -653.06\n",
      "\n",
      "Step:  AIC=-716.07\n",
      "as.matrix(y) ~ RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + \n",
      "    RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + \n",
      "    RC17 + RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + \n",
      "    RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + \n",
      "    RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC71 + RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + \n",
      "    RC51 + RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + RC79 + RC78 + \n",
      "    RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC91 + \n",
      "    RC96 + RC93 + RC95 + RC98 + RC99 + RC100 + RC102 + RC101 + \n",
      "    RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC98   1    0.0127 48.945 -717.96\n",
      "- RC91   1    0.0137 48.946 -717.95\n",
      "- RC4    1    0.0171 48.950 -717.92\n",
      "- RC62   1    0.0189 48.952 -717.91\n",
      "- RC69   1    0.0192 48.952 -717.90\n",
      "- RC74   1    0.0199 48.953 -717.90\n",
      "- RC28   1    0.0209 48.954 -717.89\n",
      "- RC79   1    0.0251 48.958 -717.85\n",
      "- RC71   1    0.0260 48.959 -717.85\n",
      "- RC27   1    0.0268 48.960 -717.84\n",
      "- RC102  1    0.0317 48.964 -717.80\n",
      "- RC16   1    0.0322 48.965 -717.79\n",
      "- RC100  1    0.0338 48.967 -717.78\n",
      "- RC70   1    0.0378 48.971 -717.74\n",
      "- RC14   1    0.0393 48.972 -717.73\n",
      "- RC31   1    0.0435 48.976 -717.70\n",
      "- RC108  1    0.0469 48.980 -717.67\n",
      "- RC36   1    0.0486 48.981 -717.65\n",
      "- RC43   1    0.0486 48.981 -717.65\n",
      "- RC106  1    0.0500 48.983 -717.64\n",
      "- RC88   1    0.0539 48.987 -717.61\n",
      "- RC68   1    0.0557 48.988 -717.59\n",
      "- RC96   1    0.0704 49.003 -717.46\n",
      "- RC90   1    0.0738 49.007 -717.44\n",
      "- RC51   1    0.0797 49.012 -717.39\n",
      "- RC107  1    0.0836 49.016 -717.35\n",
      "- RC99   1    0.0843 49.017 -717.35\n",
      "- RC56   1    0.0871 49.020 -717.32\n",
      "- RC101  1    0.0883 49.021 -717.31\n",
      "- RC64   1    0.0884 49.021 -717.31\n",
      "- RC85   1    0.0892 49.022 -717.30\n",
      "- RC105  1    0.0969 49.030 -717.24\n",
      "- RC60   1    0.1025 49.035 -717.19\n",
      "- RC57   1    0.1037 49.036 -717.18\n",
      "- RC41   1    0.1050 49.038 -717.17\n",
      "- RC38   1    0.1057 49.038 -717.16\n",
      "- RC49   1    0.1117 49.044 -717.11\n",
      "- RC8    1    0.1186 49.051 -717.05\n",
      "- RC34   1    0.1403 49.073 -716.86\n",
      "- RC78   1    0.1551 49.088 -716.74\n",
      "- RC13   1    0.1766 49.109 -716.55\n",
      "- RC32   1    0.1949 49.128 -716.40\n",
      "- RC95   1    0.1965 49.129 -716.38\n",
      "- RC30   1    0.2034 49.136 -716.32\n",
      "- RC66   1    0.2058 49.139 -716.30\n",
      "- RC46   1    0.2101 49.143 -716.27\n",
      "<none>               48.933 -716.07\n",
      "- RC11   1    0.2421 49.175 -715.99\n",
      "- RC25   1    0.2515 49.184 -715.91\n",
      "- RC45   1    0.2586 49.191 -715.85\n",
      "- RC89   1    0.2740 49.207 -715.72\n",
      "- RC65   1    0.2801 49.213 -715.67\n",
      "- RC73   1    0.2894 49.222 -715.59\n",
      "- RC15   1    0.2962 49.229 -715.53\n",
      "- RC10   1    0.3027 49.236 -715.47\n",
      "- RC103  1    0.3389 49.272 -715.16\n",
      "- RC37   1    0.3419 49.275 -715.14\n",
      "- RC21   1    0.3714 49.304 -714.89\n",
      "- RC63   1    0.3778 49.311 -714.83\n",
      "- RC52   1    0.3855 49.318 -714.77\n",
      "- RC23   1    0.3879 49.321 -714.75\n",
      "- RC19   1    0.3926 49.325 -714.71\n",
      "- RC76   1    0.4678 49.401 -714.06\n",
      "- RC20   1    0.4731 49.406 -714.02\n",
      "- RC29   1    0.4763 49.409 -713.99\n",
      "- RC94   1    0.4831 49.416 -713.93\n",
      "- RC59   1    0.4903 49.423 -713.87\n",
      "- RC86   1    0.4928 49.426 -713.85\n",
      "- RC82   1    0.5050 49.438 -713.75\n",
      "- RC58   1    0.5059 49.439 -713.74\n",
      "- RC84   1    0.5309 49.464 -713.53\n",
      "- RC3    1    0.5402 49.473 -713.45\n",
      "- RC93   1    0.5424 49.475 -713.43\n",
      "- RC53   1    0.5662 49.499 -713.23\n",
      "- RC12   1    0.6287 49.561 -712.70\n",
      "- RC104  1    0.6297 49.562 -712.69\n",
      "- RC83   1    0.6351 49.568 -712.64\n",
      "- RC24   1    0.6593 49.592 -712.44\n",
      "- RC26   1    0.6896 49.622 -712.18\n",
      "- RC40   1    0.7144 49.647 -711.97\n",
      "- RC61   1    0.8305 49.763 -710.98\n",
      "- RC87   1    0.9585 49.891 -709.90\n",
      "- RC17   1    0.9928 49.926 -709.61\n",
      "- RC55   1    1.0957 50.029 -708.75\n",
      "- RC48   1    1.1208 50.054 -708.54\n",
      "- RC75   1    1.4890 50.422 -705.45\n",
      "- RC67   1    1.6642 50.597 -703.99\n",
      "- RC47   1    1.7211 50.654 -703.52\n",
      "- RC1    1    2.0313 50.964 -700.95\n",
      "- RC5    1    2.0926 51.025 -700.44\n",
      "- RC22   1    2.1035 51.036 -700.35\n",
      "- RC9    1    2.4389 51.372 -697.59\n",
      "- RC6    1    3.5711 52.504 -688.41\n",
      "- RC42   1    6.3545 55.287 -666.67\n",
      "- RC33   1    7.9116 56.844 -654.98\n",
      "\n",
      "Step:  AIC=-717.96\n",
      "as.matrix(y) ~ RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + \n",
      "    RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + \n",
      "    RC17 + RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + \n",
      "    RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + \n",
      "    RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC71 + RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + \n",
      "    RC51 + RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + RC79 + RC78 + \n",
      "    RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC91 + \n",
      "    RC96 + RC93 + RC95 + RC99 + RC100 + RC102 + RC101 + RC103 + \n",
      "    RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC91   1    0.0137 48.959 -719.84\n",
      "- RC4    1    0.0171 48.963 -719.81\n",
      "- RC62   1    0.0189 48.964 -719.80\n",
      "- RC69   1    0.0192 48.965 -719.80\n",
      "- RC74   1    0.0199 48.965 -719.79\n",
      "- RC28   1    0.0209 48.966 -719.78\n",
      "- RC79   1    0.0251 48.971 -719.75\n",
      "- RC71   1    0.0260 48.971 -719.74\n",
      "- RC27   1    0.0268 48.972 -719.73\n",
      "- RC102  1    0.0317 48.977 -719.69\n",
      "- RC16   1    0.0322 48.978 -719.68\n",
      "- RC100  1    0.0338 48.979 -719.67\n",
      "- RC70   1    0.0378 48.983 -719.64\n",
      "- RC14   1    0.0393 48.985 -719.62\n",
      "- RC31   1    0.0435 48.989 -719.59\n",
      "- RC108  1    0.0469 48.992 -719.56\n",
      "- RC36   1    0.0486 48.994 -719.54\n",
      "- RC43   1    0.0486 48.994 -719.54\n",
      "- RC106  1    0.0500 48.996 -719.53\n",
      "- RC88   1    0.0539 48.999 -719.50\n",
      "- RC68   1    0.0557 49.001 -719.48\n",
      "- RC96   1    0.0704 49.016 -719.36\n",
      "- RC90   1    0.0738 49.019 -719.33\n",
      "- RC51   1    0.0797 49.025 -719.28\n",
      "- RC107  1    0.0836 49.029 -719.24\n",
      "- RC99   1    0.0843 49.030 -719.24\n",
      "- RC56   1    0.0871 49.033 -719.21\n",
      "- RC101  1    0.0883 49.034 -719.20\n",
      "- RC64   1    0.0884 49.034 -719.20\n",
      "- RC85   1    0.0892 49.035 -719.19\n",
      "- RC105  1    0.0969 49.042 -719.13\n",
      "- RC60   1    0.1025 49.048 -719.08\n",
      "- RC57   1    0.1037 49.049 -719.07\n",
      "- RC41   1    0.1050 49.051 -719.06\n",
      "- RC38   1    0.1057 49.051 -719.05\n",
      "- RC49   1    0.1117 49.057 -719.00\n",
      "- RC8    1    0.1186 49.064 -718.94\n",
      "- RC34   1    0.1403 49.086 -718.76\n",
      "- RC78   1    0.1551 49.101 -718.63\n",
      "- RC13   1    0.1766 49.122 -718.44\n",
      "- RC32   1    0.1949 49.140 -718.29\n",
      "- RC95   1    0.1965 49.142 -718.27\n",
      "- RC30   1    0.2034 49.149 -718.22\n",
      "- RC66   1    0.2058 49.151 -718.19\n",
      "- RC46   1    0.2101 49.156 -718.16\n",
      "<none>               48.945 -717.96\n",
      "- RC11   1    0.2421 49.188 -717.88\n",
      "- RC25   1    0.2515 49.197 -717.80\n",
      "- RC45   1    0.2586 49.204 -717.74\n",
      "- RC89   1    0.2740 49.219 -717.61\n",
      "- RC65   1    0.2801 49.226 -717.56\n",
      "- RC73   1    0.2894 49.235 -717.48\n",
      "- RC15   1    0.2962 49.242 -717.42\n",
      "- RC10   1    0.3027 49.248 -717.36\n",
      "- RC103  1    0.3389 49.284 -717.06\n",
      "- RC37   1    0.3419 49.287 -717.03\n",
      "- RC21   1    0.3714 49.317 -716.78\n",
      "- RC63   1    0.3778 49.323 -716.72\n",
      "- RC52   1    0.3855 49.331 -716.66\n",
      "- RC23   1    0.3879 49.333 -716.64\n",
      "- RC19   1    0.3926 49.338 -716.60\n",
      "- RC76   1    0.4678 49.413 -715.96\n",
      "- RC20   1    0.4731 49.419 -715.91\n",
      "- RC29   1    0.4763 49.422 -715.88\n",
      "- RC94   1    0.4831 49.429 -715.83\n",
      "- RC59   1    0.4903 49.436 -715.76\n",
      "- RC86   1    0.4928 49.438 -715.74\n",
      "- RC82   1    0.5050 49.451 -715.64\n",
      "- RC58   1    0.5059 49.451 -715.63\n",
      "- RC84   1    0.5309 49.476 -715.42\n",
      "- RC3    1    0.5402 49.486 -715.34\n",
      "- RC93   1    0.5424 49.488 -715.32\n",
      "- RC53   1    0.5662 49.512 -715.12\n",
      "- RC12   1    0.6287 49.574 -714.59\n",
      "- RC104  1    0.6297 49.575 -714.58\n",
      "- RC83   1    0.6351 49.581 -714.53\n",
      "- RC24   1    0.6593 49.605 -714.33\n",
      "- RC26   1    0.6896 49.635 -714.07\n",
      "- RC40   1    0.7144 49.660 -713.86\n",
      "- RC61   1    0.8305 49.776 -712.88\n",
      "- RC87   1    0.9585 49.904 -711.80\n",
      "- RC17   1    0.9928 49.938 -711.51\n",
      "- RC55   1    1.0957 50.041 -710.64\n",
      "- RC48   1    1.1208 50.066 -710.43\n",
      "- RC75   1    1.4890 50.435 -707.34\n",
      "- RC67   1    1.6642 50.610 -705.88\n",
      "- RC47   1    1.7211 50.667 -705.41\n",
      "- RC1    1    2.0313 50.977 -702.84\n",
      "- RC5    1    2.0926 51.038 -702.34\n",
      "- RC22   1    2.1035 51.049 -702.25\n",
      "- RC9    1    2.4389 51.384 -699.49\n",
      "- RC6    1    3.5711 52.517 -690.31\n",
      "- RC42   1    6.3545 55.300 -668.57\n",
      "- RC33   1    7.9116 56.857 -656.88\n",
      "\n",
      "Step:  AIC=-719.84\n",
      "as.matrix(y) ~ RC1 + RC4 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + \n",
      "    RC36 + RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + \n",
      "    RC17 + RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + \n",
      "    RC43 + RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + \n",
      "    RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC71 + RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + \n",
      "    RC51 + RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + RC79 + RC78 + \n",
      "    RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + \n",
      "    RC93 + RC95 + RC99 + RC100 + RC102 + RC101 + RC103 + RC104 + \n",
      "    RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC4    1    0.0171 48.976 -721.70\n",
      "- RC62   1    0.0189 48.978 -721.68\n",
      "- RC69   1    0.0192 48.978 -721.68\n",
      "- RC74   1    0.0199 48.979 -721.67\n",
      "- RC28   1    0.0209 48.980 -721.66\n",
      "- RC79   1    0.0251 48.984 -721.63\n",
      "- RC71   1    0.0260 48.985 -721.62\n",
      "- RC27   1    0.0268 48.986 -721.61\n",
      "- RC102  1    0.0317 48.991 -721.57\n",
      "- RC16   1    0.0322 48.991 -721.57\n",
      "- RC100  1    0.0338 48.993 -721.55\n",
      "- RC70   1    0.0378 48.997 -721.52\n",
      "- RC14   1    0.0393 48.998 -721.51\n",
      "- RC31   1    0.0435 49.003 -721.47\n",
      "- RC108  1    0.0469 49.006 -721.44\n",
      "- RC36   1    0.0486 49.008 -721.43\n",
      "- RC43   1    0.0486 49.008 -721.43\n",
      "- RC106  1    0.0500 49.009 -721.41\n",
      "- RC88   1    0.0539 49.013 -721.38\n",
      "- RC68   1    0.0557 49.015 -721.36\n",
      "- RC96   1    0.0704 49.030 -721.24\n",
      "- RC90   1    0.0738 49.033 -721.21\n",
      "- RC51   1    0.0797 49.039 -721.16\n",
      "- RC107  1    0.0836 49.043 -721.13\n",
      "- RC99   1    0.0843 49.043 -721.12\n",
      "- RC56   1    0.0871 49.046 -721.10\n",
      "- RC101  1    0.0883 49.047 -721.08\n",
      "- RC64   1    0.0884 49.048 -721.08\n",
      "- RC85   1    0.0892 49.048 -721.08\n",
      "- RC105  1    0.0969 49.056 -721.01\n",
      "- RC60   1    0.1025 49.062 -720.96\n",
      "- RC57   1    0.1037 49.063 -720.95\n",
      "- RC41   1    0.1050 49.064 -720.94\n",
      "- RC38   1    0.1057 49.065 -720.94\n",
      "- RC49   1    0.1117 49.071 -720.88\n",
      "- RC8    1    0.1186 49.078 -720.82\n",
      "- RC34   1    0.1403 49.099 -720.64\n",
      "- RC78   1    0.1551 49.114 -720.51\n",
      "- RC13   1    0.1766 49.136 -720.33\n",
      "- RC32   1    0.1949 49.154 -720.17\n",
      "- RC95   1    0.1965 49.156 -720.16\n",
      "- RC30   1    0.2034 49.162 -720.10\n",
      "- RC66   1    0.2058 49.165 -720.08\n",
      "- RC46   1    0.2101 49.169 -720.04\n",
      "<none>               48.959 -719.84\n",
      "- RC11   1    0.2421 49.201 -719.77\n",
      "- RC25   1    0.2515 49.211 -719.69\n",
      "- RC45   1    0.2586 49.218 -719.63\n",
      "- RC89   1    0.2740 49.233 -719.49\n",
      "- RC65   1    0.2801 49.239 -719.44\n",
      "- RC73   1    0.2894 49.249 -719.36\n",
      "- RC15   1    0.2962 49.255 -719.30\n",
      "- RC10   1    0.3027 49.262 -719.25\n",
      "- RC103  1    0.3389 49.298 -718.94\n",
      "- RC37   1    0.3419 49.301 -718.91\n",
      "- RC21   1    0.3714 49.331 -718.66\n",
      "- RC63   1    0.3778 49.337 -718.61\n",
      "- RC52   1    0.3855 49.345 -718.54\n",
      "- RC23   1    0.3879 49.347 -718.52\n",
      "- RC19   1    0.3926 49.352 -718.48\n",
      "- RC76   1    0.4678 49.427 -717.84\n",
      "- RC20   1    0.4731 49.432 -717.79\n",
      "- RC29   1    0.4763 49.435 -717.77\n",
      "- RC94   1    0.4831 49.442 -717.71\n",
      "- RC59   1    0.4903 49.449 -717.65\n",
      "- RC86   1    0.4928 49.452 -717.63\n",
      "- RC82   1    0.5050 49.464 -717.52\n",
      "- RC58   1    0.5059 49.465 -717.52\n",
      "- RC84   1    0.5309 49.490 -717.30\n",
      "- RC3    1    0.5402 49.499 -717.22\n",
      "- RC93   1    0.5424 49.502 -717.20\n",
      "- RC53   1    0.5662 49.525 -717.00\n",
      "- RC12   1    0.6287 49.588 -716.47\n",
      "- RC104  1    0.6297 49.589 -716.46\n",
      "- RC83   1    0.6351 49.594 -716.42\n",
      "- RC24   1    0.6593 49.618 -716.21\n",
      "- RC26   1    0.6896 49.649 -715.95\n",
      "- RC40   1    0.7144 49.674 -715.74\n",
      "- RC61   1    0.8305 49.790 -714.76\n",
      "- RC87   1    0.9585 49.918 -713.68\n",
      "- RC17   1    0.9928 49.952 -713.39\n",
      "- RC55   1    1.0957 50.055 -712.52\n",
      "- RC48   1    1.1208 50.080 -712.31\n",
      "- RC75   1    1.4890 50.448 -709.23\n",
      "- RC67   1    1.6642 50.623 -707.77\n",
      "- RC47   1    1.7211 50.680 -707.30\n",
      "- RC1    1    2.0313 50.990 -704.73\n",
      "- RC5    1    2.0926 51.052 -704.22\n",
      "- RC22   1    2.1035 51.063 -704.13\n",
      "- RC9    1    2.4389 51.398 -701.38\n",
      "- RC6    1    3.5711 52.530 -692.20\n",
      "- RC42   1    6.3545 55.314 -670.47\n",
      "- RC33   1    7.9116 56.871 -658.78\n",
      "\n",
      "Step:  AIC=-721.7\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + RC21 + \n",
      "    RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + \n",
      "    RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC71 + \n",
      "    RC62 + RC74 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + \n",
      "    RC84 + RC69 + RC76 + RC68 + RC66 + RC75 + RC79 + RC78 + RC83 + \n",
      "    RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + \n",
      "    RC95 + RC99 + RC100 + RC102 + RC101 + RC103 + RC104 + RC105 + \n",
      "    RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC62   1    0.0189 48.995 -723.53\n",
      "- RC69   1    0.0192 48.995 -723.53\n",
      "- RC74   1    0.0199 48.996 -723.53\n",
      "- RC28   1    0.0209 48.997 -723.52\n",
      "- RC79   1    0.0251 49.001 -723.48\n",
      "- RC71   1    0.0260 49.002 -723.47\n",
      "- RC27   1    0.0268 49.003 -723.47\n",
      "- RC102  1    0.0317 49.008 -723.42\n",
      "- RC16   1    0.0322 49.008 -723.42\n",
      "- RC100  1    0.0338 49.010 -723.41\n",
      "- RC70   1    0.0378 49.014 -723.37\n",
      "- RC14   1    0.0393 49.015 -723.36\n",
      "- RC31   1    0.0435 49.020 -723.32\n",
      "- RC108  1    0.0469 49.023 -723.29\n",
      "- RC36   1    0.0486 49.025 -723.28\n",
      "- RC43   1    0.0486 49.025 -723.28\n",
      "- RC106  1    0.0500 49.026 -723.27\n",
      "- RC88   1    0.0539 49.030 -723.23\n",
      "- RC68   1    0.0557 49.032 -723.22\n",
      "- RC96   1    0.0704 49.047 -723.09\n",
      "- RC90   1    0.0738 49.050 -723.06\n",
      "- RC51   1    0.0797 49.056 -723.01\n",
      "- RC107  1    0.0836 49.060 -722.98\n",
      "- RC99   1    0.0843 49.061 -722.97\n",
      "- RC56   1    0.0871 49.063 -722.95\n",
      "- RC101  1    0.0883 49.064 -722.94\n",
      "- RC64   1    0.0884 49.065 -722.94\n",
      "- RC85   1    0.0892 49.065 -722.93\n",
      "- RC105  1    0.0969 49.073 -722.86\n",
      "- RC60   1    0.1025 49.079 -722.82\n",
      "- RC57   1    0.1037 49.080 -722.81\n",
      "- RC41   1    0.1050 49.081 -722.79\n",
      "- RC38   1    0.1057 49.082 -722.79\n",
      "- RC49   1    0.1117 49.088 -722.74\n",
      "- RC8    1    0.1186 49.095 -722.68\n",
      "- RC34   1    0.1403 49.116 -722.49\n",
      "- RC78   1    0.1551 49.131 -722.37\n",
      "- RC13   1    0.1766 49.153 -722.18\n",
      "- RC32   1    0.1949 49.171 -722.02\n",
      "- RC95   1    0.1965 49.173 -722.01\n",
      "- RC30   1    0.2034 49.180 -721.95\n",
      "- RC66   1    0.2058 49.182 -721.93\n",
      "- RC46   1    0.2101 49.186 -721.89\n",
      "<none>               48.976 -721.70\n",
      "- RC11   1    0.2421 49.218 -721.62\n",
      "- RC25   1    0.2515 49.228 -721.54\n",
      "- RC45   1    0.2586 49.235 -721.48\n",
      "- RC89   1    0.2740 49.250 -721.35\n",
      "- RC65   1    0.2801 49.256 -721.30\n",
      "- RC73   1    0.2894 49.266 -721.22\n",
      "- RC15   1    0.2962 49.272 -721.16\n",
      "- RC10   1    0.3027 49.279 -721.10\n",
      "- RC103  1    0.3389 49.315 -720.79\n",
      "- RC37   1    0.3419 49.318 -720.77\n",
      "- RC21   1    0.3714 49.348 -720.52\n",
      "- RC63   1    0.3778 49.354 -720.46\n",
      "- RC52   1    0.3855 49.362 -720.40\n",
      "- RC23   1    0.3879 49.364 -720.38\n",
      "- RC19   1    0.3926 49.369 -720.34\n",
      "- RC76   1    0.4678 49.444 -719.69\n",
      "- RC20   1    0.4731 49.449 -719.65\n",
      "- RC29   1    0.4763 49.453 -719.62\n",
      "- RC94   1    0.4831 49.459 -719.56\n",
      "- RC59   1    0.4903 49.467 -719.50\n",
      "- RC86   1    0.4928 49.469 -719.48\n",
      "- RC82   1    0.5050 49.481 -719.38\n",
      "- RC58   1    0.5059 49.482 -719.37\n",
      "- RC84   1    0.5309 49.507 -719.16\n",
      "- RC3    1    0.5402 49.516 -719.08\n",
      "- RC93   1    0.5424 49.519 -719.06\n",
      "- RC53   1    0.5662 49.542 -718.86\n",
      "- RC12   1    0.6287 49.605 -718.33\n",
      "- RC104  1    0.6297 49.606 -718.32\n",
      "- RC83   1    0.6351 49.611 -718.27\n",
      "- RC24   1    0.6593 49.635 -718.07\n",
      "- RC26   1    0.6896 49.666 -717.81\n",
      "- RC40   1    0.7144 49.691 -717.60\n",
      "- RC61   1    0.8305 49.807 -716.62\n",
      "- RC87   1    0.9585 49.935 -715.54\n",
      "- RC17   1    0.9928 49.969 -715.25\n",
      "- RC55   1    1.0957 50.072 -714.38\n",
      "- RC48   1    1.1208 50.097 -714.17\n",
      "- RC75   1    1.4890 50.465 -711.09\n",
      "- RC67   1    1.6642 50.640 -709.63\n",
      "- RC47   1    1.7211 50.697 -709.16\n",
      "- RC1    1    2.0313 51.008 -706.59\n",
      "- RC5    1    2.0926 51.069 -706.08\n",
      "- RC22   1    2.1035 51.080 -705.99\n",
      "- RC9    1    2.4389 51.415 -703.24\n",
      "- RC6    1    3.5711 52.547 -694.07\n",
      "- RC42   1    6.3545 55.331 -672.34\n",
      "- RC33   1    7.9116 56.888 -660.65\n",
      "\n",
      "Step:  AIC=-723.53\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + RC21 + \n",
      "    RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + \n",
      "    RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC71 + \n",
      "    RC74 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + \n",
      "    RC69 + RC76 + RC68 + RC66 + RC75 + RC79 + RC78 + RC83 + RC82 + \n",
      "    RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + \n",
      "    RC99 + RC100 + RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + \n",
      "    RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC69   1    0.0192 49.014 -725.37\n",
      "- RC74   1    0.0199 49.015 -725.36\n",
      "- RC28   1    0.0209 49.016 -725.35\n",
      "- RC79   1    0.0251 49.020 -725.32\n",
      "- RC71   1    0.0260 49.021 -725.31\n",
      "- RC27   1    0.0268 49.022 -725.30\n",
      "- RC102  1    0.0317 49.027 -725.26\n",
      "- RC16   1    0.0322 49.027 -725.26\n",
      "- RC100  1    0.0338 49.029 -725.24\n",
      "- RC70   1    0.0378 49.033 -725.21\n",
      "- RC14   1    0.0393 49.034 -725.20\n",
      "- RC31   1    0.0435 49.039 -725.16\n",
      "- RC108  1    0.0469 49.042 -725.13\n",
      "- RC36   1    0.0486 49.044 -725.12\n",
      "- RC43   1    0.0486 49.044 -725.12\n",
      "- RC106  1    0.0500 49.045 -725.10\n",
      "- RC88   1    0.0539 49.049 -725.07\n",
      "- RC68   1    0.0557 49.051 -725.06\n",
      "- RC96   1    0.0704 49.066 -724.93\n",
      "- RC90   1    0.0738 49.069 -724.90\n",
      "- RC51   1    0.0797 49.075 -724.85\n",
      "- RC107  1    0.0836 49.079 -724.82\n",
      "- RC99   1    0.0843 49.079 -724.81\n",
      "- RC56   1    0.0871 49.082 -724.79\n",
      "- RC101  1    0.0883 49.083 -724.78\n",
      "- RC64   1    0.0884 49.084 -724.78\n",
      "- RC85   1    0.0892 49.084 -724.77\n",
      "- RC105  1    0.0969 49.092 -724.70\n",
      "- RC60   1    0.1025 49.098 -724.65\n",
      "- RC57   1    0.1037 49.099 -724.64\n",
      "- RC41   1    0.1050 49.100 -724.63\n",
      "- RC38   1    0.1057 49.101 -724.63\n",
      "- RC49   1    0.1117 49.107 -724.58\n",
      "- RC8    1    0.1186 49.114 -724.52\n",
      "- RC34   1    0.1403 49.135 -724.33\n",
      "- RC78   1    0.1551 49.150 -724.20\n",
      "- RC13   1    0.1766 49.172 -724.02\n",
      "- RC32   1    0.1949 49.190 -723.86\n",
      "- RC95   1    0.1965 49.192 -723.85\n",
      "- RC30   1    0.2034 49.198 -723.79\n",
      "- RC66   1    0.2058 49.201 -723.77\n",
      "- RC46   1    0.2101 49.205 -723.73\n",
      "<none>               48.995 -723.53\n",
      "- RC11   1    0.2421 49.237 -723.46\n",
      "- RC25   1    0.2515 49.247 -723.38\n",
      "- RC45   1    0.2586 49.254 -723.32\n",
      "- RC89   1    0.2740 49.269 -723.19\n",
      "- RC65   1    0.2801 49.275 -723.13\n",
      "- RC73   1    0.2894 49.285 -723.05\n",
      "- RC15   1    0.2962 49.291 -723.00\n",
      "- RC10   1    0.3027 49.298 -722.94\n",
      "- RC103  1    0.3389 49.334 -722.63\n",
      "- RC37   1    0.3419 49.337 -722.61\n",
      "- RC21   1    0.3714 49.367 -722.35\n",
      "- RC63   1    0.3778 49.373 -722.30\n",
      "- RC52   1    0.3855 49.381 -722.23\n",
      "- RC23   1    0.3879 49.383 -722.21\n",
      "- RC19   1    0.3926 49.388 -722.17\n",
      "- RC76   1    0.4678 49.463 -721.53\n",
      "- RC20   1    0.4731 49.468 -721.49\n",
      "- RC29   1    0.4763 49.471 -721.46\n",
      "- RC94   1    0.4831 49.478 -721.40\n",
      "- RC59   1    0.4903 49.485 -721.34\n",
      "- RC86   1    0.4928 49.488 -721.32\n",
      "- RC82   1    0.5050 49.500 -721.22\n",
      "- RC58   1    0.5059 49.501 -721.21\n",
      "- RC84   1    0.5309 49.526 -721.00\n",
      "- RC3    1    0.5402 49.535 -720.92\n",
      "- RC93   1    0.5424 49.538 -720.90\n",
      "- RC53   1    0.5662 49.561 -720.70\n",
      "- RC12   1    0.6287 49.624 -720.17\n",
      "- RC104  1    0.6297 49.625 -720.16\n",
      "- RC83   1    0.6351 49.630 -720.11\n",
      "- RC24   1    0.6593 49.654 -719.91\n",
      "- RC26   1    0.6896 49.685 -719.65\n",
      "- RC40   1    0.7144 49.710 -719.44\n",
      "- RC61   1    0.8305 49.826 -718.46\n",
      "- RC87   1    0.9585 49.954 -717.38\n",
      "- RC17   1    0.9928 49.988 -717.09\n",
      "- RC55   1    1.0957 50.091 -716.22\n",
      "- RC48   1    1.1208 50.116 -716.01\n",
      "- RC75   1    1.4890 50.484 -712.93\n",
      "- RC67   1    1.6642 50.659 -711.47\n",
      "- RC47   1    1.7211 50.716 -711.00\n",
      "- RC1    1    2.0313 51.026 -708.43\n",
      "- RC5    1    2.0926 51.088 -707.93\n",
      "- RC22   1    2.1035 51.099 -707.84\n",
      "- RC9    1    2.4389 51.434 -705.08\n",
      "- RC6    1    3.5711 52.566 -695.92\n",
      "- RC42   1    6.3545 55.350 -674.19\n",
      "- RC33   1    7.9116 56.907 -662.51\n",
      "\n",
      "Step:  AIC=-725.37\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + RC21 + \n",
      "    RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + \n",
      "    RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC71 + \n",
      "    RC74 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + \n",
      "    RC76 + RC68 + RC66 + RC75 + RC79 + RC78 + RC83 + RC82 + RC88 + \n",
      "    RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + \n",
      "    RC100 + RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + \n",
      "    RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC74   1    0.0199 49.034 -727.20\n",
      "- RC28   1    0.0209 49.035 -727.19\n",
      "- RC79   1    0.0251 49.039 -727.15\n",
      "- RC71   1    0.0260 49.040 -727.15\n",
      "- RC27   1    0.0268 49.041 -727.14\n",
      "- RC102  1    0.0317 49.046 -727.10\n",
      "- RC16   1    0.0322 49.047 -727.09\n",
      "- RC100  1    0.0338 49.048 -727.08\n",
      "- RC70   1    0.0378 49.052 -727.04\n",
      "- RC14   1    0.0393 49.054 -727.03\n",
      "- RC31   1    0.0435 49.058 -727.00\n",
      "- RC108  1    0.0469 49.061 -726.97\n",
      "- RC36   1    0.0486 49.063 -726.95\n",
      "- RC43   1    0.0486 49.063 -726.95\n",
      "- RC106  1    0.0500 49.064 -726.94\n",
      "- RC88   1    0.0539 49.068 -726.91\n",
      "- RC68   1    0.0557 49.070 -726.89\n",
      "- RC96   1    0.0704 49.085 -726.76\n",
      "- RC90   1    0.0738 49.088 -726.74\n",
      "- RC51   1    0.0797 49.094 -726.69\n",
      "- RC107  1    0.0836 49.098 -726.65\n",
      "- RC99   1    0.0843 49.099 -726.64\n",
      "- RC56   1    0.0871 49.101 -726.62\n",
      "- RC101  1    0.0883 49.103 -726.61\n",
      "- RC64   1    0.0884 49.103 -726.61\n",
      "- RC85   1    0.0892 49.104 -726.60\n",
      "- RC105  1    0.0969 49.111 -726.54\n",
      "- RC60   1    0.1025 49.117 -726.49\n",
      "- RC57   1    0.1037 49.118 -726.48\n",
      "- RC41   1    0.1050 49.119 -726.47\n",
      "- RC38   1    0.1057 49.120 -726.46\n",
      "- RC49   1    0.1117 49.126 -726.41\n",
      "- RC8    1    0.1186 49.133 -726.35\n",
      "- RC34   1    0.1403 49.155 -726.17\n",
      "- RC78   1    0.1551 49.169 -726.04\n",
      "- RC13   1    0.1766 49.191 -725.85\n",
      "- RC32   1    0.1949 49.209 -725.70\n",
      "- RC95   1    0.1965 49.211 -725.68\n",
      "- RC30   1    0.2034 49.218 -725.63\n",
      "- RC66   1    0.2058 49.220 -725.60\n",
      "- RC46   1    0.2101 49.225 -725.57\n",
      "<none>               49.014 -725.37\n",
      "- RC11   1    0.2421 49.256 -725.29\n",
      "- RC25   1    0.2515 49.266 -725.21\n",
      "- RC45   1    0.2586 49.273 -725.15\n",
      "- RC89   1    0.2740 49.288 -725.02\n",
      "- RC65   1    0.2801 49.294 -724.97\n",
      "- RC73   1    0.2894 49.304 -724.89\n",
      "- RC15   1    0.2962 49.311 -724.83\n",
      "- RC10   1    0.3027 49.317 -724.78\n",
      "- RC103  1    0.3389 49.353 -724.47\n",
      "- RC37   1    0.3419 49.356 -724.44\n",
      "- RC21   1    0.3714 49.386 -724.19\n",
      "- RC63   1    0.3778 49.392 -724.14\n",
      "- RC52   1    0.3855 49.400 -724.07\n",
      "- RC23   1    0.3879 49.402 -724.05\n",
      "- RC19   1    0.3926 49.407 -724.01\n",
      "- RC76   1    0.4678 49.482 -723.37\n",
      "- RC20   1    0.4731 49.487 -723.32\n",
      "- RC29   1    0.4763 49.491 -723.30\n",
      "- RC94   1    0.4831 49.497 -723.24\n",
      "- RC59   1    0.4903 49.505 -723.18\n",
      "- RC86   1    0.4928 49.507 -723.16\n",
      "- RC82   1    0.5050 49.519 -723.05\n",
      "- RC58   1    0.5059 49.520 -723.05\n",
      "- RC84   1    0.5309 49.545 -722.83\n",
      "- RC3    1    0.5402 49.555 -722.75\n",
      "- RC93   1    0.5424 49.557 -722.74\n",
      "- RC53   1    0.5662 49.581 -722.53\n",
      "- RC12   1    0.6287 49.643 -722.00\n",
      "- RC104  1    0.6297 49.644 -721.99\n",
      "- RC83   1    0.6351 49.650 -721.95\n",
      "- RC24   1    0.6593 49.674 -721.74\n",
      "- RC26   1    0.6896 49.704 -721.49\n",
      "- RC40   1    0.7144 49.729 -721.28\n",
      "- RC61   1    0.8305 49.845 -720.29\n",
      "- RC87   1    0.9585 49.973 -719.22\n",
      "- RC17   1    0.9928 50.007 -718.93\n",
      "- RC55   1    1.0957 50.110 -718.06\n",
      "- RC48   1    1.1208 50.135 -717.85\n",
      "- RC75   1    1.4890 50.503 -714.77\n",
      "- RC67   1    1.6642 50.679 -713.31\n",
      "- RC47   1    1.7211 50.735 -712.84\n",
      "- RC1    1    2.0313 51.046 -710.27\n",
      "- RC5    1    2.0926 51.107 -709.77\n",
      "- RC22   1    2.1035 51.118 -709.68\n",
      "- RC9    1    2.4389 51.453 -706.93\n",
      "- RC6    1    3.5711 52.585 -697.76\n",
      "- RC42   1    6.3545 55.369 -676.05\n",
      "- RC33   1    7.9116 56.926 -664.37\n",
      "\n",
      "Step:  AIC=-727.2\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC27 + RC24 + RC32 + RC28 + RC29 + RC34 + RC21 + \n",
      "    RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + \n",
      "    RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC71 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + \n",
      "    RC68 + RC66 + RC75 + RC79 + RC78 + RC83 + RC82 + RC88 + RC85 + \n",
      "    RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + RC100 + \n",
      "    RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC28   1    0.0209 49.055 -729.02\n",
      "- RC79   1    0.0251 49.059 -728.98\n",
      "- RC71   1    0.0260 49.060 -728.97\n",
      "- RC27   1    0.0268 49.061 -728.97\n",
      "- RC102  1    0.0317 49.066 -728.93\n",
      "- RC16   1    0.0322 49.066 -728.92\n",
      "- RC100  1    0.0338 49.068 -728.91\n",
      "- RC70   1    0.0378 49.072 -728.87\n",
      "- RC14   1    0.0393 49.074 -728.86\n",
      "- RC31   1    0.0435 49.078 -728.82\n",
      "- RC108  1    0.0469 49.081 -728.80\n",
      "- RC36   1    0.0486 49.083 -728.78\n",
      "- RC43   1    0.0486 49.083 -728.78\n",
      "- RC106  1    0.0500 49.084 -728.77\n",
      "- RC88   1    0.0539 49.088 -728.74\n",
      "- RC68   1    0.0557 49.090 -728.72\n",
      "- RC96   1    0.0704 49.105 -728.59\n",
      "- RC90   1    0.0738 49.108 -728.56\n",
      "- RC51   1    0.0797 49.114 -728.51\n",
      "- RC107  1    0.0836 49.118 -728.48\n",
      "- RC99   1    0.0843 49.119 -728.47\n",
      "- RC56   1    0.0871 49.121 -728.45\n",
      "- RC101  1    0.0883 49.123 -728.44\n",
      "- RC64   1    0.0884 49.123 -728.44\n",
      "- RC85   1    0.0892 49.123 -728.43\n",
      "- RC105  1    0.0969 49.131 -728.37\n",
      "- RC60   1    0.1025 49.137 -728.32\n",
      "- RC57   1    0.1037 49.138 -728.31\n",
      "- RC41   1    0.1050 49.139 -728.30\n",
      "- RC38   1    0.1057 49.140 -728.29\n",
      "- RC49   1    0.1117 49.146 -728.24\n",
      "- RC8    1    0.1186 49.153 -728.18\n",
      "- RC34   1    0.1403 49.175 -728.00\n",
      "- RC78   1    0.1551 49.189 -727.87\n",
      "- RC13   1    0.1766 49.211 -727.68\n",
      "- RC32   1    0.1949 49.229 -727.53\n",
      "- RC95   1    0.1965 49.231 -727.51\n",
      "- RC30   1    0.2034 49.238 -727.46\n",
      "- RC66   1    0.2058 49.240 -727.43\n",
      "- RC46   1    0.2101 49.244 -727.40\n",
      "<none>               49.034 -727.20\n",
      "- RC11   1    0.2421 49.276 -727.12\n",
      "- RC25   1    0.2515 49.286 -727.04\n",
      "- RC45   1    0.2586 49.293 -726.98\n",
      "- RC89   1    0.2740 49.308 -726.85\n",
      "- RC65   1    0.2801 49.314 -726.80\n",
      "- RC73   1    0.2894 49.324 -726.72\n",
      "- RC15   1    0.2962 49.330 -726.66\n",
      "- RC10   1    0.3027 49.337 -726.61\n",
      "- RC103  1    0.3389 49.373 -726.30\n",
      "- RC37   1    0.3419 49.376 -726.27\n",
      "- RC21   1    0.3714 49.406 -726.02\n",
      "- RC63   1    0.3778 49.412 -725.97\n",
      "- RC52   1    0.3855 49.420 -725.90\n",
      "- RC23   1    0.3879 49.422 -725.88\n",
      "- RC19   1    0.3926 49.427 -725.84\n",
      "- RC76   1    0.4678 49.502 -725.20\n",
      "- RC20   1    0.4731 49.507 -725.16\n",
      "- RC29   1    0.4763 49.511 -725.13\n",
      "- RC94   1    0.4831 49.517 -725.07\n",
      "- RC59   1    0.4903 49.525 -725.01\n",
      "- RC86   1    0.4928 49.527 -724.99\n",
      "- RC82   1    0.5050 49.539 -724.88\n",
      "- RC58   1    0.5059 49.540 -724.88\n",
      "- RC84   1    0.5309 49.565 -724.66\n",
      "- RC3    1    0.5402 49.575 -724.58\n",
      "- RC93   1    0.5424 49.577 -724.57\n",
      "- RC53   1    0.5662 49.601 -724.36\n",
      "- RC12   1    0.6287 49.663 -723.83\n",
      "- RC104  1    0.6297 49.664 -723.83\n",
      "- RC83   1    0.6351 49.669 -723.78\n",
      "- RC24   1    0.6593 49.694 -723.58\n",
      "- RC26   1    0.6896 49.724 -723.32\n",
      "- RC40   1    0.7144 49.749 -723.11\n",
      "- RC61   1    0.8305 49.865 -722.13\n",
      "- RC87   1    0.9585 49.993 -721.05\n",
      "- RC17   1    0.9928 50.027 -720.76\n",
      "- RC55   1    1.0957 50.130 -719.89\n",
      "- RC48   1    1.1208 50.155 -719.68\n",
      "- RC75   1    1.4890 50.523 -716.60\n",
      "- RC67   1    1.6642 50.698 -715.15\n",
      "- RC47   1    1.7211 50.755 -714.67\n",
      "- RC1    1    2.0313 51.066 -712.11\n",
      "- RC5    1    2.0926 51.127 -711.60\n",
      "- RC22   1    2.1035 51.138 -711.51\n",
      "- RC9    1    2.4389 51.473 -708.76\n",
      "- RC6    1    3.5711 52.605 -699.60\n",
      "- RC42   1    6.3545 55.389 -677.90\n",
      "- RC33   1    7.9116 56.946 -666.22\n",
      "\n",
      "Step:  AIC=-729.02\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC27 + RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + \n",
      "    RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + RC40 + \n",
      "    RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC71 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + RC68 + \n",
      "    RC66 + RC75 + RC79 + RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + \n",
      "    RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + RC100 + \n",
      "    RC102 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC79   1    0.0251 49.080 -730.80\n",
      "- RC71   1    0.0260 49.081 -730.80\n",
      "- RC27   1    0.0268 49.082 -730.79\n",
      "- RC102  1    0.0317 49.087 -730.75\n",
      "- RC16   1    0.0322 49.087 -730.74\n",
      "- RC100  1    0.0338 49.089 -730.73\n",
      "- RC70   1    0.0378 49.093 -730.69\n",
      "- RC14   1    0.0393 49.094 -730.68\n",
      "- RC31   1    0.0435 49.099 -730.65\n",
      "- RC108  1    0.0469 49.102 -730.62\n",
      "- RC36   1    0.0486 49.104 -730.60\n",
      "- RC43   1    0.0486 49.104 -730.60\n",
      "- RC106  1    0.0500 49.105 -730.59\n",
      "- RC88   1    0.0539 49.109 -730.56\n",
      "- RC68   1    0.0557 49.111 -730.54\n",
      "- RC96   1    0.0704 49.126 -730.41\n",
      "- RC90   1    0.0738 49.129 -730.39\n",
      "- RC51   1    0.0797 49.135 -730.34\n",
      "- RC107  1    0.0836 49.139 -730.30\n",
      "- RC99   1    0.0843 49.139 -730.30\n",
      "- RC56   1    0.0871 49.142 -730.27\n",
      "- RC101  1    0.0883 49.143 -730.26\n",
      "- RC64   1    0.0884 49.144 -730.26\n",
      "- RC85   1    0.0892 49.144 -730.25\n",
      "- RC105  1    0.0969 49.152 -730.19\n",
      "- RC60   1    0.1025 49.158 -730.14\n",
      "- RC57   1    0.1037 49.159 -730.13\n",
      "- RC41   1    0.1050 49.160 -730.12\n",
      "- RC38   1    0.1057 49.161 -730.11\n",
      "- RC49   1    0.1117 49.167 -730.06\n",
      "- RC8    1    0.1186 49.174 -730.00\n",
      "- RC34   1    0.1403 49.195 -729.82\n",
      "- RC78   1    0.1551 49.210 -729.69\n",
      "- RC13   1    0.1766 49.232 -729.51\n",
      "- RC32   1    0.1949 49.250 -729.35\n",
      "- RC95   1    0.1965 49.252 -729.34\n",
      "- RC30   1    0.2034 49.259 -729.28\n",
      "- RC66   1    0.2058 49.261 -729.26\n",
      "- RC46   1    0.2101 49.265 -729.22\n",
      "<none>               49.055 -729.02\n",
      "- RC11   1    0.2421 49.297 -728.95\n",
      "- RC25   1    0.2515 49.307 -728.87\n",
      "- RC45   1    0.2586 49.314 -728.81\n",
      "- RC89   1    0.2740 49.329 -728.67\n",
      "- RC65   1    0.2801 49.335 -728.62\n",
      "- RC73   1    0.2894 49.345 -728.54\n",
      "- RC15   1    0.2962 49.351 -728.48\n",
      "- RC10   1    0.3027 49.358 -728.43\n",
      "- RC103  1    0.3389 49.394 -728.12\n",
      "- RC37   1    0.3419 49.397 -728.09\n",
      "- RC21   1    0.3714 49.427 -727.84\n",
      "- RC63   1    0.3778 49.433 -727.79\n",
      "- RC52   1    0.3855 49.441 -727.72\n",
      "- RC23   1    0.3879 49.443 -727.70\n",
      "- RC19   1    0.3926 49.448 -727.66\n",
      "- RC76   1    0.4678 49.523 -727.02\n",
      "- RC20   1    0.4731 49.528 -726.98\n",
      "- RC29   1    0.4763 49.531 -726.95\n",
      "- RC94   1    0.4831 49.538 -726.89\n",
      "- RC59   1    0.4903 49.546 -726.83\n",
      "- RC86   1    0.4928 49.548 -726.81\n",
      "- RC82   1    0.5050 49.560 -726.71\n",
      "- RC58   1    0.5059 49.561 -726.70\n",
      "- RC84   1    0.5309 49.586 -726.49\n",
      "- RC3    1    0.5402 49.595 -726.41\n",
      "- RC93   1    0.5424 49.598 -726.39\n",
      "- RC53   1    0.5662 49.621 -726.19\n",
      "- RC12   1    0.6287 49.684 -725.66\n",
      "- RC104  1    0.6297 49.685 -725.65\n",
      "- RC83   1    0.6351 49.690 -725.60\n",
      "- RC24   1    0.6593 49.714 -725.40\n",
      "- RC26   1    0.6896 49.745 -725.14\n",
      "- RC40   1    0.7144 49.770 -724.93\n",
      "- RC61   1    0.8305 49.886 -723.95\n",
      "- RC87   1    0.9585 50.014 -722.87\n",
      "- RC17   1    0.9928 50.048 -722.58\n",
      "- RC55   1    1.0957 50.151 -721.72\n",
      "- RC48   1    1.1208 50.176 -721.51\n",
      "- RC75   1    1.4890 50.544 -718.43\n",
      "- RC67   1    1.6642 50.719 -716.97\n",
      "- RC47   1    1.7211 50.776 -716.50\n",
      "- RC1    1    2.0313 51.086 -713.94\n",
      "- RC5    1    2.0926 51.148 -713.43\n",
      "- RC22   1    2.1035 51.159 -713.34\n",
      "- RC9    1    2.4389 51.494 -710.59\n",
      "- RC6    1    3.5711 52.626 -701.43\n",
      "- RC42   1    6.3545 55.410 -679.74\n",
      "- RC33   1    7.9116 56.967 -668.07\n",
      "\n",
      "Step:  AIC=-730.8\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC27 + RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + \n",
      "    RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + RC40 + \n",
      "    RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC71 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + RC68 + \n",
      "    RC66 + RC75 + RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + \n",
      "    RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + RC100 + RC102 + \n",
      "    RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC71   1    0.0260 49.106 -732.58\n",
      "- RC27   1    0.0268 49.107 -732.57\n",
      "- RC102  1    0.0317 49.112 -732.53\n",
      "- RC16   1    0.0322 49.112 -732.53\n",
      "- RC100  1    0.0338 49.114 -732.51\n",
      "- RC70   1    0.0378 49.118 -732.48\n",
      "- RC14   1    0.0393 49.120 -732.47\n",
      "- RC31   1    0.0435 49.124 -732.43\n",
      "- RC108  1    0.0469 49.127 -732.40\n",
      "- RC36   1    0.0486 49.129 -732.39\n",
      "- RC43   1    0.0486 49.129 -732.39\n",
      "- RC106  1    0.0500 49.130 -732.37\n",
      "- RC88   1    0.0539 49.134 -732.34\n",
      "- RC68   1    0.0557 49.136 -732.33\n",
      "- RC96   1    0.0704 49.151 -732.20\n",
      "- RC90   1    0.0738 49.154 -732.17\n",
      "- RC51   1    0.0797 49.160 -732.12\n",
      "- RC107  1    0.0836 49.164 -732.09\n",
      "- RC99   1    0.0843 49.165 -732.08\n",
      "- RC56   1    0.0871 49.167 -732.06\n",
      "- RC101  1    0.0883 49.168 -732.05\n",
      "- RC64   1    0.0884 49.169 -732.05\n",
      "- RC85   1    0.0892 49.169 -732.04\n",
      "- RC105  1    0.0969 49.177 -731.97\n",
      "- RC60   1    0.1025 49.183 -731.92\n",
      "- RC57   1    0.1037 49.184 -731.91\n",
      "- RC41   1    0.1050 49.185 -731.90\n",
      "- RC38   1    0.1057 49.186 -731.90\n",
      "- RC49   1    0.1117 49.192 -731.85\n",
      "- RC8    1    0.1186 49.199 -731.79\n",
      "- RC34   1    0.1403 49.221 -731.60\n",
      "- RC78   1    0.1551 49.235 -731.47\n",
      "- RC13   1    0.1766 49.257 -731.29\n",
      "- RC32   1    0.1949 49.275 -731.13\n",
      "- RC95   1    0.1965 49.277 -731.12\n",
      "- RC30   1    0.2034 49.284 -731.06\n",
      "- RC66   1    0.2058 49.286 -731.04\n",
      "- RC46   1    0.2101 49.290 -731.00\n",
      "<none>               49.080 -730.80\n",
      "- RC11   1    0.2421 49.322 -730.73\n",
      "- RC25   1    0.2515 49.332 -730.65\n",
      "- RC45   1    0.2586 49.339 -730.59\n",
      "- RC89   1    0.2740 49.354 -730.46\n",
      "- RC65   1    0.2801 49.360 -730.41\n",
      "- RC73   1    0.2894 49.370 -730.33\n",
      "- RC15   1    0.2962 49.376 -730.27\n",
      "- RC10   1    0.3027 49.383 -730.21\n",
      "- RC103  1    0.3389 49.419 -729.91\n",
      "- RC37   1    0.3419 49.422 -729.88\n",
      "- RC21   1    0.3714 49.452 -729.63\n",
      "- RC63   1    0.3778 49.458 -729.58\n",
      "- RC52   1    0.3855 49.466 -729.51\n",
      "- RC23   1    0.3879 49.468 -729.49\n",
      "- RC19   1    0.3926 49.473 -729.45\n",
      "- RC76   1    0.4678 49.548 -728.81\n",
      "- RC20   1    0.4731 49.553 -728.76\n",
      "- RC29   1    0.4763 49.557 -728.74\n",
      "- RC94   1    0.4831 49.563 -728.68\n",
      "- RC59   1    0.4903 49.571 -728.62\n",
      "- RC86   1    0.4928 49.573 -728.60\n",
      "- RC82   1    0.5050 49.585 -728.49\n",
      "- RC58   1    0.5059 49.586 -728.49\n",
      "- RC84   1    0.5309 49.611 -728.27\n",
      "- RC3    1    0.5402 49.620 -728.19\n",
      "- RC93   1    0.5424 49.623 -728.18\n",
      "- RC53   1    0.5662 49.646 -727.97\n",
      "- RC12   1    0.6287 49.709 -727.44\n",
      "- RC104  1    0.6297 49.710 -727.44\n",
      "- RC83   1    0.6351 49.715 -727.39\n",
      "- RC24   1    0.6593 49.739 -727.19\n",
      "- RC26   1    0.6896 49.770 -726.93\n",
      "- RC40   1    0.7144 49.795 -726.72\n",
      "- RC61   1    0.8305 49.911 -725.74\n",
      "- RC87   1    0.9585 50.039 -724.66\n",
      "- RC17   1    0.9928 50.073 -724.37\n",
      "- RC55   1    1.0957 50.176 -723.51\n",
      "- RC48   1    1.1208 50.201 -723.30\n",
      "- RC75   1    1.4890 50.569 -720.22\n",
      "- RC67   1    1.6642 50.744 -718.77\n",
      "- RC47   1    1.7211 50.801 -718.29\n",
      "- RC1    1    2.0313 51.112 -715.73\n",
      "- RC5    1    2.0926 51.173 -715.23\n",
      "- RC22   1    2.1035 51.184 -715.14\n",
      "- RC9    1    2.4389 51.519 -712.39\n",
      "- RC6    1    3.5711 52.651 -703.23\n",
      "- RC42   1    6.3545 55.435 -681.55\n",
      "- RC33   1    7.9116 56.992 -669.88\n",
      "\n",
      "Step:  AIC=-732.58\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC27 + RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + \n",
      "    RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + RC40 + \n",
      "    RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC73 + RC94 + \n",
      "    RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + RC68 + RC66 + \n",
      "    RC75 + RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + \n",
      "    RC89 + RC96 + RC93 + RC95 + RC99 + RC100 + RC102 + RC101 + \n",
      "    RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC27   1    0.0268 49.133 -734.35\n",
      "- RC102  1    0.0317 49.138 -734.31\n",
      "- RC16   1    0.0322 49.138 -734.31\n",
      "- RC100  1    0.0338 49.140 -734.29\n",
      "- RC70   1    0.0378 49.144 -734.26\n",
      "- RC14   1    0.0393 49.145 -734.24\n",
      "- RC31   1    0.0435 49.150 -734.21\n",
      "- RC108  1    0.0469 49.153 -734.18\n",
      "- RC36   1    0.0486 49.155 -734.16\n",
      "- RC43   1    0.0486 49.155 -734.16\n",
      "- RC106  1    0.0500 49.156 -734.15\n",
      "- RC88   1    0.0539 49.160 -734.12\n",
      "- RC68   1    0.0557 49.162 -734.10\n",
      "- RC96   1    0.0704 49.177 -733.98\n",
      "- RC90   1    0.0738 49.180 -733.95\n",
      "- RC51   1    0.0797 49.186 -733.90\n",
      "- RC107  1    0.0836 49.190 -733.86\n",
      "- RC99   1    0.0843 49.191 -733.86\n",
      "- RC56   1    0.0871 49.193 -733.83\n",
      "- RC101  1    0.0883 49.194 -733.82\n",
      "- RC64   1    0.0884 49.195 -733.82\n",
      "- RC85   1    0.0892 49.195 -733.82\n",
      "- RC105  1    0.0969 49.203 -733.75\n",
      "- RC60   1    0.1025 49.209 -733.70\n",
      "- RC57   1    0.1037 49.210 -733.69\n",
      "- RC41   1    0.1050 49.211 -733.68\n",
      "- RC38   1    0.1057 49.212 -733.68\n",
      "- RC49   1    0.1117 49.218 -733.62\n",
      "- RC8    1    0.1186 49.225 -733.57\n",
      "- RC34   1    0.1403 49.246 -733.38\n",
      "- RC78   1    0.1551 49.261 -733.25\n",
      "- RC13   1    0.1766 49.283 -733.07\n",
      "- RC32   1    0.1949 49.301 -732.91\n",
      "- RC95   1    0.1965 49.303 -732.90\n",
      "- RC30   1    0.2034 49.310 -732.84\n",
      "- RC66   1    0.2058 49.312 -732.82\n",
      "- RC46   1    0.2101 49.316 -732.78\n",
      "<none>               49.106 -732.58\n",
      "- RC11   1    0.2421 49.348 -732.51\n",
      "- RC25   1    0.2515 49.358 -732.43\n",
      "- RC45   1    0.2586 49.365 -732.37\n",
      "- RC89   1    0.2740 49.380 -732.24\n",
      "- RC65   1    0.2801 49.386 -732.19\n",
      "- RC73   1    0.2894 49.396 -732.11\n",
      "- RC15   1    0.2962 49.402 -732.05\n",
      "- RC10   1    0.3027 49.409 -731.99\n",
      "- RC103  1    0.3389 49.445 -731.68\n",
      "- RC37   1    0.3419 49.448 -731.66\n",
      "- RC21   1    0.3714 49.478 -731.41\n",
      "- RC63   1    0.3778 49.484 -731.35\n",
      "- RC52   1    0.3855 49.492 -731.29\n",
      "- RC23   1    0.3879 49.494 -731.27\n",
      "- RC19   1    0.3926 49.499 -731.23\n",
      "- RC76   1    0.4678 49.574 -730.59\n",
      "- RC20   1    0.4731 49.579 -730.54\n",
      "- RC29   1    0.4763 49.583 -730.52\n",
      "- RC94   1    0.4831 49.589 -730.46\n",
      "- RC59   1    0.4903 49.597 -730.40\n",
      "- RC86   1    0.4928 49.599 -730.38\n",
      "- RC82   1    0.5050 49.611 -730.27\n",
      "- RC58   1    0.5059 49.612 -730.27\n",
      "- RC84   1    0.5309 49.637 -730.05\n",
      "- RC3    1    0.5402 49.646 -729.97\n",
      "- RC93   1    0.5424 49.649 -729.96\n",
      "- RC53   1    0.5662 49.672 -729.75\n",
      "- RC12   1    0.6287 49.735 -729.22\n",
      "- RC104  1    0.6297 49.736 -729.22\n",
      "- RC83   1    0.6351 49.741 -729.17\n",
      "- RC24   1    0.6593 49.765 -728.97\n",
      "- RC26   1    0.6896 49.796 -728.71\n",
      "- RC40   1    0.7144 49.821 -728.50\n",
      "- RC61   1    0.8305 49.937 -727.52\n",
      "- RC87   1    0.9585 50.065 -726.44\n",
      "- RC17   1    0.9928 50.099 -726.15\n",
      "- RC55   1    1.0957 50.202 -725.29\n",
      "- RC48   1    1.1208 50.227 -725.08\n",
      "- RC75   1    1.4890 50.595 -722.00\n",
      "- RC67   1    1.6642 50.770 -720.55\n",
      "- RC47   1    1.7211 50.827 -720.08\n",
      "- RC1    1    2.0313 51.138 -717.52\n",
      "- RC5    1    2.0926 51.199 -717.01\n",
      "- RC22   1    2.1035 51.210 -716.92\n",
      "- RC9    1    2.4389 51.545 -714.17\n",
      "- RC6    1    3.5711 52.677 -705.03\n",
      "- RC42   1    6.3545 55.461 -683.35\n",
      "- RC33   1    7.9116 57.018 -671.69\n",
      "\n",
      "Step:  AIC=-734.35\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + RC25 + \n",
      "    RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + RC40 + RC46 + \n",
      "    RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC73 + RC94 + RC65 + \n",
      "    RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + RC68 + RC66 + RC75 + \n",
      "    RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + \n",
      "    RC96 + RC93 + RC95 + RC99 + RC100 + RC102 + RC101 + RC103 + \n",
      "    RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC102  1    0.0317 49.165 -736.08\n",
      "- RC16   1    0.0322 49.165 -736.08\n",
      "- RC100  1    0.0338 49.167 -736.06\n",
      "- RC70   1    0.0378 49.171 -736.03\n",
      "- RC14   1    0.0393 49.172 -736.01\n",
      "- RC31   1    0.0435 49.176 -735.98\n",
      "- RC108  1    0.0469 49.180 -735.95\n",
      "- RC36   1    0.0486 49.182 -735.94\n",
      "- RC43   1    0.0486 49.182 -735.93\n",
      "- RC106  1    0.0500 49.183 -735.92\n",
      "- RC88   1    0.0539 49.187 -735.89\n",
      "- RC68   1    0.0557 49.189 -735.87\n",
      "- RC96   1    0.0704 49.203 -735.75\n",
      "- RC90   1    0.0738 49.207 -735.72\n",
      "- RC51   1    0.0797 49.213 -735.67\n",
      "- RC107  1    0.0836 49.217 -735.64\n",
      "- RC99   1    0.0843 49.217 -735.63\n",
      "- RC56   1    0.0871 49.220 -735.61\n",
      "- RC101  1    0.0883 49.221 -735.60\n",
      "- RC64   1    0.0884 49.221 -735.59\n",
      "- RC85   1    0.0892 49.222 -735.59\n",
      "- RC105  1    0.0969 49.230 -735.52\n",
      "- RC60   1    0.1025 49.235 -735.47\n",
      "- RC57   1    0.1037 49.237 -735.46\n",
      "- RC41   1    0.1050 49.238 -735.45\n",
      "- RC38   1    0.1057 49.239 -735.45\n",
      "- RC49   1    0.1117 49.245 -735.40\n",
      "- RC8    1    0.1186 49.252 -735.34\n",
      "- RC34   1    0.1403 49.273 -735.15\n",
      "- RC78   1    0.1551 49.288 -735.02\n",
      "- RC13   1    0.1766 49.309 -734.84\n",
      "- RC32   1    0.1949 49.328 -734.68\n",
      "- RC95   1    0.1965 49.329 -734.67\n",
      "- RC30   1    0.2034 49.336 -734.61\n",
      "- RC66   1    0.2058 49.339 -734.59\n",
      "- RC46   1    0.2101 49.343 -734.55\n",
      "<none>               49.133 -734.35\n",
      "- RC11   1    0.2421 49.375 -734.28\n",
      "- RC25   1    0.2515 49.384 -734.20\n",
      "- RC45   1    0.2586 49.392 -734.14\n",
      "- RC89   1    0.2740 49.407 -734.01\n",
      "- RC65   1    0.2801 49.413 -733.96\n",
      "- RC73   1    0.2894 49.422 -733.88\n",
      "- RC15   1    0.2962 49.429 -733.82\n",
      "- RC10   1    0.3027 49.436 -733.77\n",
      "- RC103  1    0.3389 49.472 -733.46\n",
      "- RC37   1    0.3419 49.475 -733.43\n",
      "- RC21   1    0.3714 49.504 -733.18\n",
      "- RC63   1    0.3778 49.511 -733.13\n",
      "- RC52   1    0.3855 49.518 -733.06\n",
      "- RC23   1    0.3879 49.521 -733.04\n",
      "- RC19   1    0.3926 49.526 -733.00\n",
      "- RC76   1    0.4678 49.601 -732.36\n",
      "- RC20   1    0.4731 49.606 -732.32\n",
      "- RC29   1    0.4763 49.609 -732.29\n",
      "- RC94   1    0.4831 49.616 -732.23\n",
      "- RC59   1    0.4903 49.623 -732.17\n",
      "- RC86   1    0.4928 49.626 -732.15\n",
      "- RC82   1    0.5050 49.638 -732.05\n",
      "- RC58   1    0.5059 49.639 -732.04\n",
      "- RC84   1    0.5309 49.664 -731.83\n",
      "- RC3    1    0.5402 49.673 -731.75\n",
      "- RC93   1    0.5424 49.675 -731.73\n",
      "- RC53   1    0.5662 49.699 -731.53\n",
      "- RC12   1    0.6287 49.762 -731.00\n",
      "- RC104  1    0.6297 49.763 -730.99\n",
      "- RC83   1    0.6351 49.768 -730.94\n",
      "- RC24   1    0.6593 49.792 -730.74\n",
      "- RC26   1    0.6896 49.823 -730.48\n",
      "- RC40   1    0.7144 49.847 -730.27\n",
      "- RC61   1    0.8305 49.963 -729.29\n",
      "- RC87   1    0.9585 50.091 -728.22\n",
      "- RC17   1    0.9928 50.126 -727.93\n",
      "- RC55   1    1.0957 50.229 -727.07\n",
      "- RC48   1    1.1208 50.254 -726.86\n",
      "- RC75   1    1.4890 50.622 -723.78\n",
      "- RC67   1    1.6642 50.797 -722.33\n",
      "- RC47   1    1.7211 50.854 -721.86\n",
      "- RC1    1    2.0313 51.164 -719.30\n",
      "- RC5    1    2.0926 51.226 -718.79\n",
      "- RC22   1    2.1035 51.236 -718.70\n",
      "- RC9    1    2.4389 51.572 -715.96\n",
      "- RC6    1    3.5711 52.704 -706.81\n",
      "- RC42   1    6.3545 55.487 -685.15\n",
      "- RC33   1    7.9116 57.045 -673.50\n",
      "\n",
      "Step:  AIC=-736.08\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC16 + RC63 + RC9 + RC36 + \n",
      "    RC19 + RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + \n",
      "    RC15 + RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + \n",
      "    RC42 + RC3 + RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + RC25 + \n",
      "    RC52 + RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + RC40 + RC46 + \n",
      "    RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + RC73 + RC94 + RC65 + \n",
      "    RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + RC68 + RC66 + RC75 + \n",
      "    RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + \n",
      "    RC96 + RC93 + RC95 + RC99 + RC100 + RC101 + RC103 + RC104 + \n",
      "    RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC16   1    0.0322 49.197 -737.80\n",
      "- RC100  1    0.0338 49.198 -737.79\n",
      "- RC70   1    0.0378 49.202 -737.76\n",
      "- RC14   1    0.0393 49.204 -737.74\n",
      "- RC31   1    0.0435 49.208 -737.71\n",
      "- RC108  1    0.0469 49.212 -737.68\n",
      "- RC36   1    0.0486 49.213 -737.66\n",
      "- RC43   1    0.0486 49.213 -737.66\n",
      "- RC106  1    0.0500 49.215 -737.65\n",
      "- RC88   1    0.0539 49.219 -737.62\n",
      "- RC68   1    0.0557 49.220 -737.60\n",
      "- RC96   1    0.0704 49.235 -737.48\n",
      "- RC90   1    0.0738 49.238 -737.45\n",
      "- RC51   1    0.0797 49.244 -737.40\n",
      "- RC107  1    0.0836 49.248 -737.36\n",
      "- RC99   1    0.0843 49.249 -737.36\n",
      "- RC56   1    0.0871 49.252 -737.34\n",
      "- RC101  1    0.0883 49.253 -737.32\n",
      "- RC64   1    0.0884 49.253 -737.32\n",
      "- RC85   1    0.0892 49.254 -737.32\n",
      "- RC105  1    0.0969 49.261 -737.25\n",
      "- RC60   1    0.1025 49.267 -737.20\n",
      "- RC57   1    0.1037 49.268 -737.19\n",
      "- RC41   1    0.1050 49.270 -737.18\n",
      "- RC38   1    0.1057 49.270 -737.18\n",
      "- RC49   1    0.1117 49.276 -737.12\n",
      "- RC8    1    0.1186 49.283 -737.07\n",
      "- RC34   1    0.1403 49.305 -736.88\n",
      "- RC78   1    0.1551 49.320 -736.75\n",
      "- RC13   1    0.1766 49.341 -736.57\n",
      "- RC32   1    0.1949 49.360 -736.41\n",
      "- RC95   1    0.1965 49.361 -736.40\n",
      "- RC30   1    0.2034 49.368 -736.34\n",
      "- RC66   1    0.2058 49.370 -736.32\n",
      "- RC46   1    0.2101 49.375 -736.28\n",
      "<none>               49.165 -736.08\n",
      "- RC11   1    0.2421 49.407 -736.01\n",
      "- RC25   1    0.2515 49.416 -735.93\n",
      "- RC45   1    0.2586 49.423 -735.87\n",
      "- RC89   1    0.2740 49.439 -735.74\n",
      "- RC65   1    0.2801 49.445 -735.69\n",
      "- RC73   1    0.2894 49.454 -735.61\n",
      "- RC15   1    0.2962 49.461 -735.55\n",
      "- RC10   1    0.3027 49.467 -735.50\n",
      "- RC103  1    0.3389 49.504 -735.19\n",
      "- RC37   1    0.3419 49.507 -735.16\n",
      "- RC21   1    0.3714 49.536 -734.91\n",
      "- RC63   1    0.3778 49.542 -734.86\n",
      "- RC52   1    0.3855 49.550 -734.79\n",
      "- RC23   1    0.3879 49.553 -734.77\n",
      "- RC19   1    0.3926 49.557 -734.73\n",
      "- RC76   1    0.4678 49.632 -734.09\n",
      "- RC20   1    0.4731 49.638 -734.05\n",
      "- RC29   1    0.4763 49.641 -734.02\n",
      "- RC94   1    0.4831 49.648 -733.96\n",
      "- RC59   1    0.4903 49.655 -733.90\n",
      "- RC86   1    0.4928 49.657 -733.88\n",
      "- RC82   1    0.5050 49.670 -733.78\n",
      "- RC58   1    0.5059 49.670 -733.77\n",
      "- RC84   1    0.5309 49.695 -733.56\n",
      "- RC3    1    0.5402 49.705 -733.48\n",
      "- RC93   1    0.5424 49.707 -733.46\n",
      "- RC53   1    0.5662 49.731 -733.26\n",
      "- RC12   1    0.6287 49.793 -732.73\n",
      "- RC104  1    0.6297 49.794 -732.72\n",
      "- RC83   1    0.6351 49.800 -732.68\n",
      "- RC24   1    0.6593 49.824 -732.47\n",
      "- RC26   1    0.6896 49.854 -732.22\n",
      "- RC40   1    0.7144 49.879 -732.01\n",
      "- RC61   1    0.8305 49.995 -731.03\n",
      "- RC87   1    0.9585 50.123 -729.95\n",
      "- RC17   1    0.9928 50.157 -729.66\n",
      "- RC55   1    1.0957 50.260 -728.80\n",
      "- RC48   1    1.1208 50.285 -728.59\n",
      "- RC75   1    1.4890 50.654 -725.52\n",
      "- RC67   1    1.6642 50.829 -724.07\n",
      "- RC47   1    1.7211 50.886 -723.59\n",
      "- RC1    1    2.0313 51.196 -721.04\n",
      "- RC5    1    2.0926 51.257 -720.53\n",
      "- RC22   1    2.1035 51.268 -720.44\n",
      "- RC9    1    2.4389 51.603 -717.70\n",
      "- RC6    1    3.5711 52.736 -708.56\n",
      "- RC42   1    6.3545 55.519 -686.91\n",
      "- RC33   1    7.9116 57.076 -675.26\n",
      "\n",
      "Step:  AIC=-737.8\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC36 + RC19 + \n",
      "    RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + RC15 + \n",
      "    RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + RC42 + \n",
      "    RC3 + RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + \n",
      "    RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + RC40 + RC46 + RC57 + \n",
      "    RC45 + RC86 + RC47 + RC56 + RC60 + RC73 + RC94 + RC65 + RC10 + \n",
      "    RC64 + RC61 + RC51 + RC84 + RC76 + RC68 + RC66 + RC75 + RC78 + \n",
      "    RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + \n",
      "    RC93 + RC95 + RC99 + RC100 + RC101 + RC103 + RC104 + RC105 + \n",
      "    RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC100  1    0.0338 49.231 -739.52\n",
      "- RC70   1    0.0378 49.235 -739.48\n",
      "- RC14   1    0.0393 49.236 -739.47\n",
      "- RC31   1    0.0435 49.240 -739.43\n",
      "- RC108  1    0.0469 49.244 -739.40\n",
      "- RC36   1    0.0486 49.245 -739.39\n",
      "- RC43   1    0.0486 49.245 -739.39\n",
      "- RC106  1    0.0500 49.247 -739.38\n",
      "- RC88   1    0.0539 49.251 -739.34\n",
      "- RC68   1    0.0557 49.252 -739.33\n",
      "- RC96   1    0.0704 49.267 -739.20\n",
      "- RC90   1    0.0738 49.271 -739.17\n",
      "- RC51   1    0.0797 49.276 -739.12\n",
      "- RC107  1    0.0836 49.280 -739.09\n",
      "- RC99   1    0.0843 49.281 -739.08\n",
      "- RC56   1    0.0871 49.284 -739.06\n",
      "- RC101  1    0.0883 49.285 -739.05\n",
      "- RC64   1    0.0884 49.285 -739.05\n",
      "- RC85   1    0.0892 49.286 -739.04\n",
      "- RC105  1    0.0969 49.294 -738.98\n",
      "- RC60   1    0.1025 49.299 -738.93\n",
      "- RC57   1    0.1037 49.300 -738.92\n",
      "- RC41   1    0.1050 49.302 -738.91\n",
      "- RC38   1    0.1057 49.302 -738.90\n",
      "- RC49   1    0.1117 49.308 -738.85\n",
      "- RC8    1    0.1186 49.315 -738.79\n",
      "- RC34   1    0.1403 49.337 -738.61\n",
      "- RC78   1    0.1551 49.352 -738.48\n",
      "- RC13   1    0.1766 49.373 -738.30\n",
      "- RC32   1    0.1949 49.392 -738.14\n",
      "- RC95   1    0.1965 49.393 -738.13\n",
      "- RC30   1    0.2034 49.400 -738.07\n",
      "- RC66   1    0.2058 49.403 -738.05\n",
      "- RC46   1    0.2101 49.407 -738.01\n",
      "<none>               49.197 -737.80\n",
      "- RC11   1    0.2421 49.439 -737.74\n",
      "- RC25   1    0.2515 49.448 -737.66\n",
      "- RC45   1    0.2586 49.455 -737.60\n",
      "- RC89   1    0.2740 49.471 -737.47\n",
      "- RC65   1    0.2801 49.477 -737.41\n",
      "- RC73   1    0.2894 49.486 -737.34\n",
      "- RC15   1    0.2962 49.493 -737.28\n",
      "- RC10   1    0.3027 49.500 -737.22\n",
      "- RC103  1    0.3389 49.536 -736.91\n",
      "- RC37   1    0.3419 49.539 -736.89\n",
      "- RC21   1    0.3714 49.568 -736.64\n",
      "- RC63   1    0.3778 49.575 -736.58\n",
      "- RC52   1    0.3855 49.582 -736.52\n",
      "- RC23   1    0.3879 49.585 -736.50\n",
      "- RC19   1    0.3926 49.589 -736.46\n",
      "- RC76   1    0.4678 49.665 -735.82\n",
      "- RC20   1    0.4731 49.670 -735.78\n",
      "- RC29   1    0.4763 49.673 -735.75\n",
      "- RC94   1    0.4831 49.680 -735.69\n",
      "- RC59   1    0.4903 49.687 -735.63\n",
      "- RC86   1    0.4928 49.690 -735.61\n",
      "- RC82   1    0.5050 49.702 -735.51\n",
      "- RC58   1    0.5059 49.703 -735.50\n",
      "- RC84   1    0.5309 49.728 -735.29\n",
      "- RC3    1    0.5402 49.737 -735.21\n",
      "- RC93   1    0.5424 49.739 -735.19\n",
      "- RC53   1    0.5662 49.763 -734.99\n",
      "- RC12   1    0.6287 49.825 -734.46\n",
      "- RC104  1    0.6297 49.826 -734.45\n",
      "- RC83   1    0.6351 49.832 -734.40\n",
      "- RC24   1    0.6593 49.856 -734.20\n",
      "- RC26   1    0.6896 49.886 -733.94\n",
      "- RC40   1    0.7144 49.911 -733.74\n",
      "- RC61   1    0.8305 50.027 -732.76\n",
      "- RC87   1    0.9585 50.155 -731.68\n",
      "- RC17   1    0.9928 50.190 -731.39\n",
      "- RC55   1    1.0957 50.293 -730.53\n",
      "- RC48   1    1.1208 50.318 -730.32\n",
      "- RC75   1    1.4890 50.686 -727.25\n",
      "- RC67   1    1.6642 50.861 -725.80\n",
      "- RC47   1    1.7211 50.918 -725.33\n",
      "- RC1    1    2.0313 51.228 -722.77\n",
      "- RC5    1    2.0926 51.289 -722.27\n",
      "- RC22   1    2.1035 51.300 -722.18\n",
      "- RC9    1    2.4389 51.636 -719.44\n",
      "- RC6    1    3.5711 52.768 -710.30\n",
      "- RC42   1    6.3545 55.551 -688.66\n",
      "- RC33   1    7.9116 57.108 -677.02\n",
      "\n",
      "Step:  AIC=-739.52\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC36 + RC19 + \n",
      "    RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + RC15 + \n",
      "    RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + RC42 + \n",
      "    RC3 + RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + \n",
      "    RC37 + RC58 + RC41 + RC48 + RC70 + RC55 + RC40 + RC46 + RC57 + \n",
      "    RC45 + RC86 + RC47 + RC56 + RC60 + RC73 + RC94 + RC65 + RC10 + \n",
      "    RC64 + RC61 + RC51 + RC84 + RC76 + RC68 + RC66 + RC75 + RC78 + \n",
      "    RC83 + RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + \n",
      "    RC93 + RC95 + RC99 + RC101 + RC103 + RC104 + RC105 + RC106 + \n",
      "    RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC70   1    0.0378 49.268 -741.19\n",
      "- RC14   1    0.0393 49.270 -741.18\n",
      "- RC31   1    0.0435 49.274 -741.14\n",
      "- RC108  1    0.0469 49.277 -741.12\n",
      "- RC36   1    0.0486 49.279 -741.10\n",
      "- RC43   1    0.0486 49.279 -741.10\n",
      "- RC106  1    0.0500 49.281 -741.09\n",
      "- RC88   1    0.0539 49.284 -741.06\n",
      "- RC68   1    0.0557 49.286 -741.04\n",
      "- RC96   1    0.0704 49.301 -740.91\n",
      "- RC90   1    0.0738 49.304 -740.89\n",
      "- RC51   1    0.0797 49.310 -740.84\n",
      "- RC107  1    0.0836 49.314 -740.80\n",
      "- RC99   1    0.0843 49.315 -740.80\n",
      "- RC56   1    0.0871 49.318 -740.77\n",
      "- RC101  1    0.0883 49.319 -740.76\n",
      "- RC64   1    0.0884 49.319 -740.76\n",
      "- RC85   1    0.0892 49.320 -740.75\n",
      "- RC105  1    0.0969 49.327 -740.69\n",
      "- RC60   1    0.1025 49.333 -740.64\n",
      "- RC57   1    0.1037 49.334 -740.63\n",
      "- RC41   1    0.1050 49.336 -740.62\n",
      "- RC38   1    0.1057 49.336 -740.61\n",
      "- RC49   1    0.1117 49.342 -740.56\n",
      "- RC8    1    0.1186 49.349 -740.50\n",
      "- RC34   1    0.1403 49.371 -740.32\n",
      "- RC78   1    0.1551 49.386 -740.19\n",
      "- RC13   1    0.1766 49.407 -740.01\n",
      "- RC32   1    0.1949 49.425 -739.85\n",
      "- RC95   1    0.1965 49.427 -739.84\n",
      "- RC30   1    0.2034 49.434 -739.78\n",
      "- RC66   1    0.2058 49.436 -739.76\n",
      "- RC46   1    0.2101 49.441 -739.72\n",
      "<none>               49.231 -739.52\n",
      "- RC11   1    0.2421 49.473 -739.45\n",
      "- RC25   1    0.2515 49.482 -739.37\n",
      "- RC45   1    0.2586 49.489 -739.31\n",
      "- RC89   1    0.2740 49.505 -739.18\n",
      "- RC65   1    0.2801 49.511 -739.13\n",
      "- RC73   1    0.2894 49.520 -739.05\n",
      "- RC15   1    0.2962 49.527 -738.99\n",
      "- RC10   1    0.3027 49.533 -738.94\n",
      "- RC103  1    0.3389 49.569 -738.63\n",
      "- RC37   1    0.3419 49.572 -738.60\n",
      "- RC21   1    0.3714 49.602 -738.35\n",
      "- RC63   1    0.3778 49.608 -738.30\n",
      "- RC52   1    0.3855 49.616 -738.23\n",
      "- RC23   1    0.3879 49.618 -738.21\n",
      "- RC19   1    0.3926 49.623 -738.17\n",
      "- RC76   1    0.4678 49.698 -737.53\n",
      "- RC20   1    0.4731 49.704 -737.49\n",
      "- RC29   1    0.4763 49.707 -737.46\n",
      "- RC94   1    0.4831 49.714 -737.41\n",
      "- RC59   1    0.4903 49.721 -737.34\n",
      "- RC86   1    0.4928 49.723 -737.32\n",
      "- RC82   1    0.5050 49.736 -737.22\n",
      "- RC58   1    0.5059 49.736 -737.21\n",
      "- RC84   1    0.5309 49.761 -737.00\n",
      "- RC3    1    0.5402 49.771 -736.92\n",
      "- RC93   1    0.5424 49.773 -736.90\n",
      "- RC53   1    0.5662 49.797 -736.70\n",
      "- RC12   1    0.6287 49.859 -736.17\n",
      "- RC104  1    0.6297 49.860 -736.17\n",
      "- RC83   1    0.6351 49.866 -736.12\n",
      "- RC24   1    0.6593 49.890 -735.92\n",
      "- RC26   1    0.6896 49.920 -735.66\n",
      "- RC40   1    0.7144 49.945 -735.45\n",
      "- RC61   1    0.8305 50.061 -734.47\n",
      "- RC87   1    0.9585 50.189 -733.40\n",
      "- RC17   1    0.9928 50.223 -733.11\n",
      "- RC55   1    1.0957 50.326 -732.25\n",
      "- RC48   1    1.1208 50.351 -732.04\n",
      "- RC75   1    1.4890 50.720 -728.97\n",
      "- RC67   1    1.6642 50.895 -727.52\n",
      "- RC47   1    1.7211 50.952 -727.05\n",
      "- RC1    1    2.0313 51.262 -724.49\n",
      "- RC5    1    2.0926 51.323 -723.99\n",
      "- RC22   1    2.1035 51.334 -723.90\n",
      "- RC9    1    2.4389 51.669 -721.16\n",
      "- RC6    1    3.5711 52.802 -712.03\n",
      "- RC42   1    6.3545 55.585 -690.41\n",
      "- RC33   1    7.9116 57.142 -678.78\n",
      "\n",
      "Step:  AIC=-741.19\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC36 + RC19 + \n",
      "    RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC14 + RC17 + RC15 + \n",
      "    RC38 + RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + RC42 + \n",
      "    RC3 + RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + \n",
      "    RC37 + RC58 + RC41 + RC48 + RC55 + RC40 + RC46 + RC57 + RC45 + \n",
      "    RC86 + RC47 + RC56 + RC60 + RC73 + RC94 + RC65 + RC10 + RC64 + \n",
      "    RC61 + RC51 + RC84 + RC76 + RC68 + RC66 + RC75 + RC78 + RC83 + \n",
      "    RC82 + RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + \n",
      "    RC95 + RC99 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + \n",
      "    RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC14   1    0.0393 49.308 -742.86\n",
      "- RC31   1    0.0435 49.312 -742.82\n",
      "- RC108  1    0.0469 49.315 -742.79\n",
      "- RC36   1    0.0486 49.317 -742.78\n",
      "- RC43   1    0.0486 49.317 -742.78\n",
      "- RC106  1    0.0500 49.318 -742.77\n",
      "- RC88   1    0.0539 49.322 -742.73\n",
      "- RC68   1    0.0557 49.324 -742.72\n",
      "- RC96   1    0.0704 49.339 -742.59\n",
      "- RC90   1    0.0738 49.342 -742.56\n",
      "- RC51   1    0.0797 49.348 -742.51\n",
      "- RC107  1    0.0836 49.352 -742.48\n",
      "- RC99   1    0.0843 49.353 -742.47\n",
      "- RC56   1    0.0871 49.355 -742.45\n",
      "- RC101  1    0.0883 49.357 -742.44\n",
      "- RC64   1    0.0884 49.357 -742.44\n",
      "- RC85   1    0.0892 49.358 -742.43\n",
      "- RC105  1    0.0969 49.365 -742.37\n",
      "- RC60   1    0.1025 49.371 -742.32\n",
      "- RC57   1    0.1037 49.372 -742.31\n",
      "- RC41   1    0.1050 49.373 -742.30\n",
      "- RC38   1    0.1057 49.374 -742.29\n",
      "- RC49   1    0.1117 49.380 -742.24\n",
      "- RC8    1    0.1186 49.387 -742.18\n",
      "- RC34   1    0.1403 49.409 -742.00\n",
      "- RC78   1    0.1551 49.423 -741.87\n",
      "- RC13   1    0.1766 49.445 -741.69\n",
      "- RC32   1    0.1949 49.463 -741.53\n",
      "- RC95   1    0.1965 49.465 -741.52\n",
      "- RC30   1    0.2034 49.472 -741.46\n",
      "- RC66   1    0.2058 49.474 -741.44\n",
      "- RC46   1    0.2101 49.478 -741.40\n",
      "<none>               49.268 -741.19\n",
      "- RC11   1    0.2421 49.510 -741.13\n",
      "- RC25   1    0.2515 49.520 -741.05\n",
      "- RC45   1    0.2586 49.527 -740.99\n",
      "- RC89   1    0.2740 49.542 -740.86\n",
      "- RC65   1    0.2801 49.548 -740.81\n",
      "- RC73   1    0.2894 49.558 -740.73\n",
      "- RC15   1    0.2962 49.565 -740.67\n",
      "- RC10   1    0.3027 49.571 -740.61\n",
      "- RC103  1    0.3389 49.607 -740.31\n",
      "- RC37   1    0.3419 49.610 -740.28\n",
      "- RC21   1    0.3714 49.640 -740.03\n",
      "- RC63   1    0.3778 49.646 -739.98\n",
      "- RC52   1    0.3855 49.654 -739.91\n",
      "- RC23   1    0.3879 49.656 -739.89\n",
      "- RC19   1    0.3926 49.661 -739.85\n",
      "- RC76   1    0.4678 49.736 -739.21\n",
      "- RC20   1    0.4731 49.741 -739.17\n",
      "- RC29   1    0.4763 49.745 -739.14\n",
      "- RC94   1    0.4831 49.751 -739.08\n",
      "- RC59   1    0.4903 49.759 -739.02\n",
      "- RC86   1    0.4928 49.761 -739.00\n",
      "- RC82   1    0.5050 49.773 -738.90\n",
      "- RC58   1    0.5059 49.774 -738.89\n",
      "- RC84   1    0.5309 49.799 -738.68\n",
      "- RC3    1    0.5402 49.809 -738.60\n",
      "- RC93   1    0.5424 49.811 -738.58\n",
      "- RC53   1    0.5662 49.835 -738.38\n",
      "- RC12   1    0.6287 49.897 -737.85\n",
      "- RC104  1    0.6297 49.898 -737.85\n",
      "- RC83   1    0.6351 49.903 -737.80\n",
      "- RC24   1    0.6593 49.928 -737.60\n",
      "- RC26   1    0.6896 49.958 -737.34\n",
      "- RC40   1    0.7144 49.983 -737.13\n",
      "- RC61   1    0.8305 50.099 -736.16\n",
      "- RC87   1    0.9585 50.227 -735.08\n",
      "- RC17   1    0.9928 50.261 -734.79\n",
      "- RC55   1    1.0957 50.364 -733.93\n",
      "- RC48   1    1.1208 50.389 -733.72\n",
      "- RC75   1    1.4890 50.757 -730.66\n",
      "- RC67   1    1.6642 50.933 -729.21\n",
      "- RC47   1    1.7211 50.989 -728.74\n",
      "- RC1    1    2.0313 51.300 -726.18\n",
      "- RC5    1    2.0926 51.361 -725.68\n",
      "- RC22   1    2.1035 51.372 -725.59\n",
      "- RC9    1    2.4389 51.707 -722.85\n",
      "- RC6    1    3.5711 52.839 -713.73\n",
      "- RC42   1    6.3545 55.623 -692.12\n",
      "- RC33   1    7.9116 57.180 -680.50\n",
      "\n",
      "Step:  AIC=-742.86\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC36 + RC19 + \n",
      "    RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + \n",
      "    RC30 + RC11 + RC33 + RC49 + RC22 + RC31 + RC43 + RC42 + RC3 + \n",
      "    RC24 + RC32 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + \n",
      "    RC58 + RC41 + RC48 + RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + \n",
      "    RC47 + RC56 + RC60 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + \n",
      "    RC51 + RC84 + RC76 + RC68 + RC66 + RC75 + RC78 + RC83 + RC82 + \n",
      "    RC88 + RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + \n",
      "    RC99 + RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC31   1    0.0435 49.351 -744.49\n",
      "- RC108  1    0.0469 49.355 -744.46\n",
      "- RC36   1    0.0486 49.356 -744.44\n",
      "- RC43   1    0.0486 49.356 -744.44\n",
      "- RC106  1    0.0500 49.358 -744.43\n",
      "- RC88   1    0.0539 49.362 -744.40\n",
      "- RC68   1    0.0557 49.363 -744.38\n",
      "- RC96   1    0.0704 49.378 -744.26\n",
      "- RC90   1    0.0738 49.381 -744.23\n",
      "- RC51   1    0.0797 49.387 -744.18\n",
      "- RC107  1    0.0836 49.391 -744.14\n",
      "- RC99   1    0.0843 49.392 -744.14\n",
      "- RC56   1    0.0871 49.395 -744.11\n",
      "- RC101  1    0.0883 49.396 -744.10\n",
      "- RC64   1    0.0884 49.396 -744.10\n",
      "- RC85   1    0.0892 49.397 -744.10\n",
      "- RC105  1    0.0969 49.404 -744.03\n",
      "- RC60   1    0.1025 49.410 -743.98\n",
      "- RC57   1    0.1037 49.411 -743.97\n",
      "- RC41   1    0.1050 49.413 -743.96\n",
      "- RC38   1    0.1057 49.413 -743.96\n",
      "- RC49   1    0.1117 49.419 -743.90\n",
      "- RC8    1    0.1186 49.426 -743.85\n",
      "- RC34   1    0.1403 49.448 -743.66\n",
      "- RC78   1    0.1551 49.463 -743.53\n",
      "- RC13   1    0.1766 49.484 -743.35\n",
      "- RC32   1    0.1949 49.503 -743.20\n",
      "- RC95   1    0.1965 49.504 -743.18\n",
      "- RC30   1    0.2034 49.511 -743.12\n",
      "- RC66   1    0.2058 49.513 -743.10\n",
      "- RC46   1    0.2101 49.518 -743.07\n",
      "<none>               49.308 -742.86\n",
      "- RC11   1    0.2421 49.550 -742.80\n",
      "- RC25   1    0.2515 49.559 -742.71\n",
      "- RC45   1    0.2586 49.566 -742.66\n",
      "- RC89   1    0.2740 49.582 -742.52\n",
      "- RC65   1    0.2801 49.588 -742.47\n",
      "- RC73   1    0.2894 49.597 -742.39\n",
      "- RC15   1    0.2962 49.604 -742.34\n",
      "- RC10   1    0.3027 49.610 -742.28\n",
      "- RC103  1    0.3389 49.647 -741.97\n",
      "- RC37   1    0.3419 49.650 -741.95\n",
      "- RC21   1    0.3714 49.679 -741.70\n",
      "- RC63   1    0.3778 49.685 -741.64\n",
      "- RC52   1    0.3855 49.693 -741.58\n",
      "- RC23   1    0.3879 49.696 -741.56\n",
      "- RC19   1    0.3926 49.700 -741.52\n",
      "- RC76   1    0.4678 49.775 -740.88\n",
      "- RC20   1    0.4731 49.781 -740.84\n",
      "- RC29   1    0.4763 49.784 -740.81\n",
      "- RC94   1    0.4831 49.791 -740.75\n",
      "- RC59   1    0.4903 49.798 -740.69\n",
      "- RC86   1    0.4928 49.800 -740.67\n",
      "- RC82   1    0.5050 49.813 -740.57\n",
      "- RC58   1    0.5059 49.813 -740.56\n",
      "- RC84   1    0.5309 49.838 -740.35\n",
      "- RC3    1    0.5402 49.848 -740.27\n",
      "- RC93   1    0.5424 49.850 -740.25\n",
      "- RC53   1    0.5662 49.874 -740.05\n",
      "- RC12   1    0.6287 49.936 -739.52\n",
      "- RC104  1    0.6297 49.937 -739.51\n",
      "- RC83   1    0.6351 49.943 -739.47\n",
      "- RC24   1    0.6593 49.967 -739.27\n",
      "- RC26   1    0.6896 49.997 -739.01\n",
      "- RC40   1    0.7144 50.022 -738.80\n",
      "- RC61   1    0.8305 50.138 -737.83\n",
      "- RC87   1    0.9585 50.266 -736.75\n",
      "- RC17   1    0.9928 50.300 -736.46\n",
      "- RC55   1    1.0957 50.403 -735.60\n",
      "- RC48   1    1.1208 50.428 -735.39\n",
      "- RC75   1    1.4890 50.797 -732.33\n",
      "- RC67   1    1.6642 50.972 -730.88\n",
      "- RC47   1    1.7211 51.029 -730.41\n",
      "- RC1    1    2.0313 51.339 -727.86\n",
      "- RC5    1    2.0926 51.400 -727.36\n",
      "- RC22   1    2.1035 51.411 -727.27\n",
      "- RC9    1    2.4389 51.746 -724.53\n",
      "- RC6    1    3.5711 52.879 -715.42\n",
      "- RC42   1    6.3545 55.662 -693.82\n",
      "- RC33   1    7.9116 57.219 -682.21\n",
      "\n",
      "Step:  AIC=-744.49\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC36 + RC19 + \n",
      "    RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + \n",
      "    RC30 + RC11 + RC33 + RC49 + RC22 + RC43 + RC42 + RC3 + RC24 + \n",
      "    RC32 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + \n",
      "    RC56 + RC60 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + \n",
      "    RC84 + RC76 + RC68 + RC66 + RC75 + RC78 + RC83 + RC82 + RC88 + \n",
      "    RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + \n",
      "    RC101 + RC103 + RC104 + RC105 + RC106 + RC107 + RC108\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC108  1    0.0469 49.398 -746.09\n",
      "- RC36   1    0.0486 49.400 -746.07\n",
      "- RC43   1    0.0486 49.400 -746.07\n",
      "- RC106  1    0.0500 49.401 -746.06\n",
      "- RC88   1    0.0539 49.405 -746.03\n",
      "- RC68   1    0.0557 49.407 -746.01\n",
      "- RC96   1    0.0704 49.421 -745.89\n",
      "- RC90   1    0.0738 49.425 -745.86\n",
      "- RC51   1    0.0797 49.431 -745.81\n",
      "- RC107  1    0.0836 49.435 -745.77\n",
      "- RC99   1    0.0843 49.435 -745.77\n",
      "- RC56   1    0.0871 49.438 -745.74\n",
      "- RC101  1    0.0883 49.439 -745.73\n",
      "- RC64   1    0.0884 49.439 -745.73\n",
      "- RC85   1    0.0892 49.440 -745.73\n",
      "- RC105  1    0.0969 49.448 -745.66\n",
      "- RC60   1    0.1025 49.454 -745.61\n",
      "- RC57   1    0.1037 49.455 -745.60\n",
      "- RC41   1    0.1050 49.456 -745.59\n",
      "- RC38   1    0.1057 49.457 -745.59\n",
      "- RC49   1    0.1117 49.463 -745.53\n",
      "- RC8    1    0.1186 49.470 -745.48\n",
      "- RC34   1    0.1403 49.491 -745.29\n",
      "- RC78   1    0.1551 49.506 -745.16\n",
      "- RC13   1    0.1766 49.528 -744.98\n",
      "- RC32   1    0.1949 49.546 -744.83\n",
      "- RC95   1    0.1965 49.548 -744.81\n",
      "- RC30   1    0.2034 49.554 -744.76\n",
      "- RC66   1    0.2058 49.557 -744.73\n",
      "- RC46   1    0.2101 49.561 -744.70\n",
      "<none>               49.351 -744.49\n",
      "- RC11   1    0.2421 49.593 -744.43\n",
      "- RC25   1    0.2515 49.603 -744.35\n",
      "- RC45   1    0.2586 49.610 -744.29\n",
      "- RC89   1    0.2740 49.625 -744.16\n",
      "- RC65   1    0.2801 49.631 -744.10\n",
      "- RC73   1    0.2894 49.641 -744.02\n",
      "- RC15   1    0.2962 49.647 -743.97\n",
      "- RC10   1    0.3027 49.654 -743.91\n",
      "- RC103  1    0.3389 49.690 -743.60\n",
      "- RC37   1    0.3419 49.693 -743.58\n",
      "- RC21   1    0.3714 49.722 -743.33\n",
      "- RC63   1    0.3778 49.729 -743.28\n",
      "- RC52   1    0.3855 49.737 -743.21\n",
      "- RC23   1    0.3879 49.739 -743.19\n",
      "- RC19   1    0.3926 49.744 -743.15\n",
      "- RC76   1    0.4678 49.819 -742.51\n",
      "- RC20   1    0.4731 49.824 -742.47\n",
      "- RC29   1    0.4763 49.827 -742.44\n",
      "- RC94   1    0.4831 49.834 -742.39\n",
      "- RC59   1    0.4903 49.841 -742.32\n",
      "- RC86   1    0.4928 49.844 -742.30\n",
      "- RC82   1    0.5050 49.856 -742.20\n",
      "- RC58   1    0.5059 49.857 -742.19\n",
      "- RC84   1    0.5309 49.882 -741.98\n",
      "- RC3    1    0.5402 49.891 -741.90\n",
      "- RC93   1    0.5424 49.893 -741.88\n",
      "- RC53   1    0.5662 49.917 -741.68\n",
      "- RC12   1    0.6287 49.980 -741.16\n",
      "- RC104  1    0.6297 49.981 -741.15\n",
      "- RC83   1    0.6351 49.986 -741.10\n",
      "- RC24   1    0.6593 50.010 -740.90\n",
      "- RC26   1    0.6896 50.041 -740.64\n",
      "- RC40   1    0.7144 50.065 -740.44\n",
      "- RC61   1    0.8305 50.182 -739.46\n",
      "- RC87   1    0.9585 50.310 -738.39\n",
      "- RC17   1    0.9928 50.344 -738.10\n",
      "- RC55   1    1.0957 50.447 -737.24\n",
      "- RC48   1    1.1208 50.472 -737.03\n",
      "- RC75   1    1.4890 50.840 -733.97\n",
      "- RC67   1    1.6642 51.015 -732.52\n",
      "- RC47   1    1.7211 51.072 -732.05\n",
      "- RC1    1    2.0313 51.382 -729.50\n",
      "- RC5    1    2.0926 51.444 -729.00\n",
      "- RC22   1    2.1035 51.455 -728.91\n",
      "- RC9    1    2.4389 51.790 -726.18\n",
      "- RC6    1    3.5711 52.922 -717.07\n",
      "- RC42   1    6.3545 55.706 -695.49\n",
      "- RC33   1    7.9116 57.263 -683.89\n",
      "\n",
      "Step:  AIC=-746.09\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC36 + RC19 + \n",
      "    RC67 + RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + \n",
      "    RC30 + RC11 + RC33 + RC49 + RC22 + RC43 + RC42 + RC3 + RC24 + \n",
      "    RC32 + RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC41 + RC48 + RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + \n",
      "    RC56 + RC60 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + \n",
      "    RC84 + RC76 + RC68 + RC66 + RC75 + RC78 + RC83 + RC82 + RC88 + \n",
      "    RC85 + RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + \n",
      "    RC101 + RC103 + RC104 + RC105 + RC106 + RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC36   1    0.0486 49.447 -747.67\n",
      "- RC43   1    0.0486 49.447 -747.67\n",
      "- RC106  1    0.0500 49.448 -747.66\n",
      "- RC88   1    0.0539 49.452 -747.63\n",
      "- RC68   1    0.0557 49.454 -747.61\n",
      "- RC96   1    0.0704 49.468 -747.49\n",
      "- RC90   1    0.0738 49.472 -747.46\n",
      "- RC51   1    0.0797 49.478 -747.41\n",
      "- RC107  1    0.0836 49.482 -747.37\n",
      "- RC99   1    0.0843 49.482 -747.37\n",
      "- RC56   1    0.0871 49.485 -747.35\n",
      "- RC101  1    0.0883 49.486 -747.33\n",
      "- RC64   1    0.0884 49.486 -747.33\n",
      "- RC85   1    0.0892 49.487 -747.33\n",
      "- RC105  1    0.0969 49.495 -747.26\n",
      "- RC60   1    0.1025 49.501 -747.21\n",
      "- RC57   1    0.1037 49.502 -747.20\n",
      "- RC41   1    0.1050 49.503 -747.19\n",
      "- RC38   1    0.1057 49.504 -747.19\n",
      "- RC49   1    0.1117 49.510 -747.14\n",
      "- RC8    1    0.1186 49.517 -747.08\n",
      "- RC34   1    0.1403 49.538 -746.89\n",
      "- RC78   1    0.1551 49.553 -746.77\n",
      "- RC13   1    0.1766 49.575 -746.58\n",
      "- RC32   1    0.1949 49.593 -746.43\n",
      "- RC95   1    0.1965 49.594 -746.42\n",
      "- RC30   1    0.2034 49.601 -746.36\n",
      "- RC66   1    0.2058 49.604 -746.34\n",
      "- RC46   1    0.2101 49.608 -746.30\n",
      "<none>               49.398 -746.09\n",
      "- RC11   1    0.2421 49.640 -746.03\n",
      "- RC25   1    0.2515 49.650 -745.95\n",
      "- RC45   1    0.2586 49.657 -745.89\n",
      "- RC89   1    0.2740 49.672 -745.76\n",
      "- RC65   1    0.2801 49.678 -745.71\n",
      "- RC73   1    0.2894 49.687 -745.63\n",
      "- RC15   1    0.2962 49.694 -745.57\n",
      "- RC10   1    0.3027 49.701 -745.51\n",
      "- RC103  1    0.3389 49.737 -745.21\n",
      "- RC37   1    0.3419 49.740 -745.18\n",
      "- RC21   1    0.3714 49.769 -744.93\n",
      "- RC63   1    0.3778 49.776 -744.88\n",
      "- RC52   1    0.3855 49.784 -744.81\n",
      "- RC23   1    0.3879 49.786 -744.79\n",
      "- RC19   1    0.3926 49.791 -744.75\n",
      "- RC76   1    0.4678 49.866 -744.12\n",
      "- RC20   1    0.4731 49.871 -744.07\n",
      "- RC29   1    0.4763 49.874 -744.05\n",
      "- RC94   1    0.4831 49.881 -743.99\n",
      "- RC59   1    0.4903 49.888 -743.93\n",
      "- RC86   1    0.4928 49.891 -743.91\n",
      "- RC82   1    0.5050 49.903 -743.80\n",
      "- RC58   1    0.5059 49.904 -743.80\n",
      "- RC84   1    0.5309 49.929 -743.59\n",
      "- RC3    1    0.5402 49.938 -743.51\n",
      "- RC93   1    0.5424 49.940 -743.49\n",
      "- RC53   1    0.5662 49.964 -743.29\n",
      "- RC12   1    0.6287 50.027 -742.76\n",
      "- RC104  1    0.6297 50.028 -742.75\n",
      "- RC83   1    0.6351 50.033 -742.71\n",
      "- RC24   1    0.6593 50.057 -742.50\n",
      "- RC26   1    0.6896 50.088 -742.25\n",
      "- RC40   1    0.7144 50.112 -742.04\n",
      "- RC61   1    0.8305 50.229 -741.07\n",
      "- RC87   1    0.9585 50.356 -740.00\n",
      "- RC17   1    0.9928 50.391 -739.71\n",
      "- RC55   1    1.0957 50.494 -738.85\n",
      "- RC48   1    1.1208 50.519 -738.64\n",
      "- RC75   1    1.4890 50.887 -735.58\n",
      "- RC67   1    1.6642 51.062 -734.14\n",
      "- RC47   1    1.7211 51.119 -733.67\n",
      "- RC1    1    2.0313 51.429 -731.12\n",
      "- RC5    1    2.0926 51.491 -730.62\n",
      "- RC22   1    2.1035 51.502 -730.53\n",
      "- RC9    1    2.4389 51.837 -727.80\n",
      "- RC6    1    3.5711 52.969 -718.70\n",
      "- RC42   1    6.3545 55.753 -697.14\n",
      "- RC33   1    7.9116 57.310 -685.54\n",
      "\n",
      "Step:  AIC=-747.67\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC43 + RC42 + RC3 + RC24 + RC32 + \n",
      "    RC29 + RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + \n",
      "    RC48 + RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + \n",
      "    RC60 + RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + \n",
      "    RC76 + RC68 + RC66 + RC75 + RC78 + RC83 + RC82 + RC88 + RC85 + \n",
      "    RC87 + RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + RC101 + \n",
      "    RC103 + RC104 + RC105 + RC106 + RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC43   1    0.0486 49.495 -749.26\n",
      "- RC106  1    0.0500 49.497 -749.25\n",
      "- RC88   1    0.0539 49.500 -749.21\n",
      "- RC68   1    0.0557 49.502 -749.20\n",
      "- RC96   1    0.0704 49.517 -749.07\n",
      "- RC90   1    0.0738 49.520 -749.05\n",
      "- RC51   1    0.0797 49.526 -749.00\n",
      "- RC107  1    0.0836 49.530 -748.96\n",
      "- RC99   1    0.0843 49.531 -748.96\n",
      "- RC56   1    0.0871 49.534 -748.93\n",
      "- RC101  1    0.0883 49.535 -748.92\n",
      "- RC64   1    0.0884 49.535 -748.92\n",
      "- RC85   1    0.0892 49.536 -748.91\n",
      "- RC105  1    0.0969 49.543 -748.85\n",
      "- RC60   1    0.1025 49.549 -748.80\n",
      "- RC57   1    0.1037 49.550 -748.79\n",
      "- RC41   1    0.1050 49.552 -748.78\n",
      "- RC38   1    0.1057 49.552 -748.77\n",
      "- RC49   1    0.1117 49.558 -748.72\n",
      "- RC8    1    0.1186 49.565 -748.66\n",
      "- RC34   1    0.1403 49.587 -748.48\n",
      "- RC78   1    0.1551 49.602 -748.35\n",
      "- RC13   1    0.1766 49.623 -748.17\n",
      "- RC32   1    0.1949 49.641 -748.02\n",
      "- RC95   1    0.1965 49.643 -748.00\n",
      "- RC30   1    0.2034 49.650 -747.94\n",
      "- RC66   1    0.2058 49.652 -747.92\n",
      "- RC46   1    0.2101 49.657 -747.89\n",
      "<none>               49.447 -747.67\n",
      "- RC11   1    0.2421 49.689 -747.62\n",
      "- RC25   1    0.2515 49.698 -747.54\n",
      "- RC45   1    0.2586 49.705 -747.48\n",
      "- RC89   1    0.2740 49.721 -747.35\n",
      "- RC65   1    0.2801 49.727 -747.29\n",
      "- RC73   1    0.2894 49.736 -747.22\n",
      "- RC15   1    0.2962 49.743 -747.16\n",
      "- RC10   1    0.3027 49.749 -747.10\n",
      "- RC103  1    0.3389 49.785 -746.80\n",
      "- RC37   1    0.3419 49.788 -746.77\n",
      "- RC21   1    0.3714 49.818 -746.52\n",
      "- RC63   1    0.3778 49.824 -746.47\n",
      "- RC52   1    0.3855 49.832 -746.40\n",
      "- RC23   1    0.3879 49.834 -746.38\n",
      "- RC19   1    0.3926 49.839 -746.34\n",
      "- RC76   1    0.4678 49.914 -745.71\n",
      "- RC20   1    0.4731 49.920 -745.66\n",
      "- RC29   1    0.4763 49.923 -745.64\n",
      "- RC94   1    0.4831 49.930 -745.58\n",
      "- RC59   1    0.4903 49.937 -745.52\n",
      "- RC86   1    0.4928 49.939 -745.50\n",
      "- RC82   1    0.5050 49.952 -745.39\n",
      "- RC58   1    0.5059 49.952 -745.39\n",
      "- RC84   1    0.5309 49.977 -745.18\n",
      "- RC3    1    0.5402 49.987 -745.10\n",
      "- RC93   1    0.5424 49.989 -745.08\n",
      "- RC53   1    0.5662 50.013 -744.88\n",
      "- RC12   1    0.6287 50.075 -744.35\n",
      "- RC104  1    0.6297 50.076 -744.35\n",
      "- RC83   1    0.6351 50.082 -744.30\n",
      "- RC24   1    0.6593 50.106 -744.10\n",
      "- RC26   1    0.6896 50.136 -743.84\n",
      "- RC40   1    0.7144 50.161 -743.63\n",
      "- RC61   1    0.8305 50.277 -742.66\n",
      "- RC87   1    0.9585 50.405 -741.59\n",
      "- RC17   1    0.9928 50.439 -741.30\n",
      "- RC55   1    1.0957 50.542 -740.45\n",
      "- RC48   1    1.1208 50.567 -740.24\n",
      "- RC75   1    1.4890 50.936 -737.18\n",
      "- RC67   1    1.6642 51.111 -735.74\n",
      "- RC47   1    1.7211 51.168 -735.27\n",
      "- RC1    1    2.0313 51.478 -732.72\n",
      "- RC5    1    2.0926 51.539 -732.22\n",
      "- RC22   1    2.1035 51.550 -732.13\n",
      "- RC9    1    2.4389 51.885 -729.40\n",
      "- RC6    1    3.5711 53.018 -720.32\n",
      "- RC42   1    6.3545 55.801 -698.77\n",
      "- RC33   1    7.9116 57.358 -687.19\n",
      "\n",
      "Step:  AIC=-749.26\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + \n",
      "    RC68 + RC66 + RC75 + RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + \n",
      "    RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + RC101 + \n",
      "    RC103 + RC104 + RC105 + RC106 + RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC106  1    0.0500 49.545 -750.83\n",
      "- RC88   1    0.0539 49.549 -750.80\n",
      "- RC68   1    0.0557 49.551 -750.79\n",
      "- RC96   1    0.0704 49.566 -750.66\n",
      "- RC90   1    0.0738 49.569 -750.63\n",
      "- RC51   1    0.0797 49.575 -750.58\n",
      "- RC107  1    0.0836 49.579 -750.55\n",
      "- RC99   1    0.0843 49.580 -750.54\n",
      "- RC56   1    0.0871 49.582 -750.52\n",
      "- RC101  1    0.0883 49.583 -750.51\n",
      "- RC64   1    0.0884 49.584 -750.51\n",
      "- RC85   1    0.0892 49.584 -750.50\n",
      "- RC105  1    0.0969 49.592 -750.44\n",
      "- RC60   1    0.1025 49.598 -750.39\n",
      "- RC57   1    0.1037 49.599 -750.38\n",
      "- RC41   1    0.1050 49.600 -750.37\n",
      "- RC38   1    0.1057 49.601 -750.36\n",
      "- RC49   1    0.1117 49.607 -750.31\n",
      "- RC8    1    0.1186 49.614 -750.25\n",
      "- RC34   1    0.1403 49.635 -750.07\n",
      "- RC78   1    0.1551 49.650 -749.94\n",
      "- RC13   1    0.1766 49.672 -749.76\n",
      "- RC32   1    0.1949 49.690 -749.60\n",
      "- RC95   1    0.1965 49.692 -749.59\n",
      "- RC30   1    0.2034 49.699 -749.53\n",
      "- RC66   1    0.2058 49.701 -749.51\n",
      "- RC46   1    0.2101 49.705 -749.48\n",
      "<none>               49.495 -749.26\n",
      "- RC11   1    0.2421 49.737 -749.20\n",
      "- RC25   1    0.2515 49.747 -749.12\n",
      "- RC45   1    0.2586 49.754 -749.07\n",
      "- RC89   1    0.2740 49.769 -748.93\n",
      "- RC65   1    0.2801 49.775 -748.88\n",
      "- RC73   1    0.2894 49.785 -748.80\n",
      "- RC15   1    0.2962 49.791 -748.75\n",
      "- RC10   1    0.3027 49.798 -748.69\n",
      "- RC103  1    0.3389 49.834 -748.39\n",
      "- RC37   1    0.3419 49.837 -748.36\n",
      "- RC21   1    0.3714 49.867 -748.11\n",
      "- RC63   1    0.3778 49.873 -748.06\n",
      "- RC52   1    0.3855 49.881 -747.99\n",
      "- RC23   1    0.3879 49.883 -747.97\n",
      "- RC19   1    0.3926 49.888 -747.93\n",
      "- RC76   1    0.4678 49.963 -747.30\n",
      "- RC20   1    0.4731 49.968 -747.25\n",
      "- RC29   1    0.4763 49.972 -747.23\n",
      "- RC94   1    0.4831 49.978 -747.17\n",
      "- RC59   1    0.4903 49.986 -747.11\n",
      "- RC86   1    0.4928 49.988 -747.09\n",
      "- RC82   1    0.5050 50.000 -746.98\n",
      "- RC58   1    0.5059 50.001 -746.98\n",
      "- RC84   1    0.5309 50.026 -746.77\n",
      "- RC3    1    0.5402 50.035 -746.69\n",
      "- RC93   1    0.5424 50.038 -746.67\n",
      "- RC53   1    0.5662 50.061 -746.47\n",
      "- RC12   1    0.6287 50.124 -745.94\n",
      "- RC104  1    0.6297 50.125 -745.94\n",
      "- RC83   1    0.6351 50.130 -745.89\n",
      "- RC24   1    0.6593 50.154 -745.69\n",
      "- RC26   1    0.6896 50.185 -745.43\n",
      "- RC40   1    0.7144 50.210 -745.23\n",
      "- RC61   1    0.8305 50.326 -744.25\n",
      "- RC87   1    0.9585 50.454 -743.18\n",
      "- RC17   1    0.9928 50.488 -742.90\n",
      "- RC55   1    1.0957 50.591 -742.04\n",
      "- RC48   1    1.1208 50.616 -741.83\n",
      "- RC75   1    1.4890 50.984 -738.78\n",
      "- RC67   1    1.6642 51.159 -737.34\n",
      "- RC47   1    1.7211 51.216 -736.87\n",
      "- RC1    1    2.0313 51.527 -734.33\n",
      "- RC5    1    2.0926 51.588 -733.83\n",
      "- RC22   1    2.1035 51.599 -733.74\n",
      "- RC9    1    2.4389 51.934 -731.01\n",
      "- RC6    1    3.5711 53.066 -721.93\n",
      "- RC42   1    6.3545 55.850 -700.41\n",
      "- RC33   1    7.9116 57.407 -688.83\n",
      "\n",
      "Step:  AIC=-750.83\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + \n",
      "    RC68 + RC66 + RC75 + RC78 + RC83 + RC82 + RC88 + RC85 + RC87 + \n",
      "    RC90 + RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + RC101 + \n",
      "    RC103 + RC104 + RC105 + RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC88   1    0.0539 49.599 -752.38\n",
      "- RC68   1    0.0557 49.601 -752.36\n",
      "- RC96   1    0.0704 49.616 -752.24\n",
      "- RC90   1    0.0738 49.619 -752.21\n",
      "- RC51   1    0.0797 49.625 -752.16\n",
      "- RC107  1    0.0836 49.629 -752.12\n",
      "- RC99   1    0.0843 49.630 -752.12\n",
      "- RC56   1    0.0871 49.632 -752.09\n",
      "- RC101  1    0.0883 49.633 -752.08\n",
      "- RC64   1    0.0884 49.634 -752.08\n",
      "- RC85   1    0.0892 49.634 -752.08\n",
      "- RC105  1    0.0969 49.642 -752.01\n",
      "- RC60   1    0.1025 49.648 -751.96\n",
      "- RC57   1    0.1037 49.649 -751.95\n",
      "- RC41   1    0.1050 49.650 -751.94\n",
      "- RC38   1    0.1057 49.651 -751.94\n",
      "- RC49   1    0.1117 49.657 -751.89\n",
      "- RC8    1    0.1186 49.664 -751.83\n",
      "- RC34   1    0.1403 49.686 -751.64\n",
      "- RC78   1    0.1551 49.700 -751.52\n",
      "- RC13   1    0.1766 49.722 -751.34\n",
      "- RC32   1    0.1949 49.740 -751.18\n",
      "- RC95   1    0.1965 49.742 -751.17\n",
      "- RC30   1    0.2034 49.749 -751.11\n",
      "- RC66   1    0.2058 49.751 -751.09\n",
      "- RC46   1    0.2101 49.755 -751.05\n",
      "<none>               49.545 -750.83\n",
      "- RC11   1    0.2421 49.787 -750.78\n",
      "- RC25   1    0.2515 49.797 -750.70\n",
      "- RC45   1    0.2586 49.804 -750.64\n",
      "- RC89   1    0.2740 49.819 -750.51\n",
      "- RC65   1    0.2801 49.825 -750.46\n",
      "- RC73   1    0.2894 49.835 -750.38\n",
      "- RC15   1    0.2962 49.841 -750.32\n",
      "- RC10   1    0.3027 49.848 -750.27\n",
      "- RC103  1    0.3389 49.884 -749.96\n",
      "- RC37   1    0.3419 49.887 -749.94\n",
      "- RC21   1    0.3714 49.917 -749.69\n",
      "- RC63   1    0.3778 49.923 -749.64\n",
      "- RC52   1    0.3855 49.931 -749.57\n",
      "- RC23   1    0.3879 49.933 -749.55\n",
      "- RC19   1    0.3926 49.938 -749.51\n",
      "- RC76   1    0.4678 50.013 -748.88\n",
      "- RC20   1    0.4731 50.018 -748.83\n",
      "- RC29   1    0.4763 50.022 -748.81\n",
      "- RC94   1    0.4831 50.028 -748.75\n",
      "- RC59   1    0.4903 50.036 -748.69\n",
      "- RC86   1    0.4928 50.038 -748.67\n",
      "- RC82   1    0.5050 50.050 -748.56\n",
      "- RC58   1    0.5059 50.051 -748.56\n",
      "- RC84   1    0.5309 50.076 -748.35\n",
      "- RC3    1    0.5402 50.085 -748.27\n",
      "- RC93   1    0.5424 50.088 -748.25\n",
      "- RC53   1    0.5662 50.111 -748.05\n",
      "- RC12   1    0.6287 50.174 -747.52\n",
      "- RC104  1    0.6297 50.175 -747.52\n",
      "- RC83   1    0.6351 50.180 -747.47\n",
      "- RC24   1    0.6593 50.204 -747.27\n",
      "- RC26   1    0.6896 50.235 -747.01\n",
      "- RC40   1    0.7144 50.260 -746.81\n",
      "- RC61   1    0.8305 50.376 -745.83\n",
      "- RC87   1    0.9585 50.504 -744.77\n",
      "- RC17   1    0.9928 50.538 -744.48\n",
      "- RC55   1    1.0957 50.641 -743.62\n",
      "- RC48   1    1.1208 50.666 -743.42\n",
      "- RC75   1    1.4890 51.034 -740.37\n",
      "- RC67   1    1.6642 51.209 -738.92\n",
      "- RC47   1    1.7211 51.266 -738.46\n",
      "- RC1    1    2.0313 51.577 -735.92\n",
      "- RC5    1    2.0926 51.638 -735.42\n",
      "- RC22   1    2.1035 51.649 -735.33\n",
      "- RC9    1    2.4389 51.984 -732.60\n",
      "- RC6    1    3.5711 53.116 -723.53\n",
      "- RC42   1    6.3545 55.900 -702.03\n",
      "- RC33   1    7.9116 57.457 -690.46\n",
      "\n",
      "Step:  AIC=-752.38\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + \n",
      "    RC68 + RC66 + RC75 + RC78 + RC83 + RC82 + RC85 + RC87 + RC90 + \n",
      "    RC59 + RC89 + RC96 + RC93 + RC95 + RC99 + RC101 + RC103 + \n",
      "    RC104 + RC105 + RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC68   1    0.0557 49.655 -753.90\n",
      "- RC96   1    0.0704 49.670 -753.78\n",
      "- RC90   1    0.0738 49.673 -753.75\n",
      "- RC51   1    0.0797 49.679 -753.70\n",
      "- RC107  1    0.0836 49.683 -753.67\n",
      "- RC99   1    0.0843 49.683 -753.66\n",
      "- RC56   1    0.0871 49.686 -753.64\n",
      "- RC101  1    0.0883 49.687 -753.63\n",
      "- RC64   1    0.0884 49.688 -753.63\n",
      "- RC85   1    0.0892 49.688 -753.62\n",
      "- RC105  1    0.0969 49.696 -753.55\n",
      "- RC60   1    0.1025 49.702 -753.51\n",
      "- RC57   1    0.1037 49.703 -753.50\n",
      "- RC41   1    0.1050 49.704 -753.48\n",
      "- RC38   1    0.1057 49.705 -753.48\n",
      "- RC49   1    0.1117 49.711 -753.43\n",
      "- RC8    1    0.1186 49.718 -753.37\n",
      "- RC34   1    0.1403 49.739 -753.19\n",
      "- RC78   1    0.1551 49.754 -753.06\n",
      "- RC13   1    0.1766 49.776 -752.88\n",
      "- RC32   1    0.1949 49.794 -752.72\n",
      "- RC95   1    0.1965 49.796 -752.71\n",
      "- RC30   1    0.2034 49.802 -752.65\n",
      "- RC66   1    0.2058 49.805 -752.63\n",
      "- RC46   1    0.2101 49.809 -752.60\n",
      "<none>               49.599 -752.38\n",
      "- RC11   1    0.2421 49.841 -752.33\n",
      "- RC25   1    0.2515 49.851 -752.25\n",
      "- RC45   1    0.2586 49.858 -752.19\n",
      "- RC89   1    0.2740 49.873 -752.06\n",
      "- RC65   1    0.2801 49.879 -752.00\n",
      "- RC73   1    0.2894 49.889 -751.93\n",
      "- RC15   1    0.2962 49.895 -751.87\n",
      "- RC10   1    0.3027 49.902 -751.81\n",
      "- RC103  1    0.3389 49.938 -751.51\n",
      "- RC37   1    0.3419 49.941 -751.48\n",
      "- RC21   1    0.3714 49.971 -751.23\n",
      "- RC63   1    0.3778 49.977 -751.18\n",
      "- RC52   1    0.3855 49.985 -751.12\n",
      "- RC23   1    0.3879 49.987 -751.10\n",
      "- RC19   1    0.3926 49.992 -751.06\n",
      "- RC76   1    0.4678 50.067 -750.42\n",
      "- RC20   1    0.4731 50.072 -750.38\n",
      "- RC29   1    0.4763 50.075 -750.35\n",
      "- RC94   1    0.4831 50.082 -750.29\n",
      "- RC59   1    0.4903 50.089 -750.23\n",
      "- RC86   1    0.4928 50.092 -750.21\n",
      "- RC82   1    0.5050 50.104 -750.11\n",
      "- RC58   1    0.5059 50.105 -750.10\n",
      "- RC84   1    0.5309 50.130 -749.89\n",
      "- RC3    1    0.5402 50.139 -749.81\n",
      "- RC93   1    0.5424 50.142 -749.80\n",
      "- RC53   1    0.5662 50.165 -749.60\n",
      "- RC12   1    0.6287 50.228 -749.07\n",
      "- RC104  1    0.6297 50.229 -749.06\n",
      "- RC83   1    0.6351 50.234 -749.02\n",
      "- RC24   1    0.6593 50.258 -748.82\n",
      "- RC26   1    0.6896 50.289 -748.56\n",
      "- RC40   1    0.7144 50.314 -748.36\n",
      "- RC61   1    0.8305 50.430 -747.38\n",
      "- RC87   1    0.9585 50.558 -746.32\n",
      "- RC17   1    0.9928 50.592 -746.03\n",
      "- RC55   1    1.0957 50.695 -745.18\n",
      "- RC48   1    1.1208 50.720 -744.97\n",
      "- RC75   1    1.4890 51.088 -741.92\n",
      "- RC67   1    1.6642 51.263 -740.48\n",
      "- RC47   1    1.7211 51.320 -740.01\n",
      "- RC1    1    2.0313 51.630 -737.48\n",
      "- RC5    1    2.0926 51.692 -736.98\n",
      "- RC22   1    2.1035 51.703 -736.89\n",
      "- RC9    1    2.4389 52.038 -734.17\n",
      "- RC6    1    3.5711 53.170 -725.11\n",
      "- RC42   1    6.3545 55.954 -703.62\n",
      "- RC33   1    7.9116 57.511 -692.07\n",
      "\n",
      "Step:  AIC=-753.9\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + \n",
      "    RC66 + RC75 + RC78 + RC83 + RC82 + RC85 + RC87 + RC90 + RC59 + \n",
      "    RC89 + RC96 + RC93 + RC95 + RC99 + RC101 + RC103 + RC104 + \n",
      "    RC105 + RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC96   1    0.0704 49.725 -755.31\n",
      "- RC90   1    0.0738 49.729 -755.28\n",
      "- RC51   1    0.0797 49.735 -755.23\n",
      "- RC107  1    0.0836 49.738 -755.19\n",
      "- RC99   1    0.0843 49.739 -755.19\n",
      "- RC56   1    0.0871 49.742 -755.17\n",
      "- RC101  1    0.0883 49.743 -755.16\n",
      "- RC64   1    0.0884 49.743 -755.15\n",
      "- RC85   1    0.0892 49.744 -755.15\n",
      "- RC105  1    0.0969 49.752 -755.08\n",
      "- RC60   1    0.1025 49.757 -755.03\n",
      "- RC57   1    0.1037 49.759 -755.02\n",
      "- RC41   1    0.1050 49.760 -755.01\n",
      "- RC38   1    0.1057 49.761 -755.01\n",
      "- RC49   1    0.1117 49.767 -754.96\n",
      "- RC8    1    0.1186 49.773 -754.90\n",
      "- RC34   1    0.1403 49.795 -754.72\n",
      "- RC78   1    0.1551 49.810 -754.59\n",
      "- RC13   1    0.1766 49.831 -754.41\n",
      "- RC32   1    0.1949 49.850 -754.25\n",
      "- RC95   1    0.1965 49.851 -754.24\n",
      "- RC30   1    0.2034 49.858 -754.18\n",
      "- RC66   1    0.2058 49.861 -754.16\n",
      "- RC46   1    0.2101 49.865 -754.12\n",
      "<none>               49.655 -753.90\n",
      "- RC11   1    0.2421 49.897 -753.86\n",
      "- RC25   1    0.2515 49.906 -753.78\n",
      "- RC45   1    0.2586 49.913 -753.72\n",
      "- RC89   1    0.2740 49.929 -753.59\n",
      "- RC65   1    0.2801 49.935 -753.53\n",
      "- RC73   1    0.2894 49.944 -753.46\n",
      "- RC15   1    0.2962 49.951 -753.40\n",
      "- RC10   1    0.3027 49.958 -753.34\n",
      "- RC103  1    0.3389 49.994 -753.04\n",
      "- RC37   1    0.3419 49.997 -753.01\n",
      "- RC21   1    0.3714 50.026 -752.77\n",
      "- RC63   1    0.3778 50.033 -752.71\n",
      "- RC52   1    0.3855 50.040 -752.65\n",
      "- RC23   1    0.3879 50.043 -752.63\n",
      "- RC19   1    0.3926 50.047 -752.59\n",
      "- RC76   1    0.4678 50.123 -751.96\n",
      "- RC20   1    0.4731 50.128 -751.91\n",
      "- RC29   1    0.4763 50.131 -751.88\n",
      "- RC94   1    0.4831 50.138 -751.83\n",
      "- RC59   1    0.4903 50.145 -751.77\n",
      "- RC86   1    0.4928 50.148 -751.74\n",
      "- RC82   1    0.5050 50.160 -751.64\n",
      "- RC58   1    0.5059 50.161 -751.64\n",
      "- RC84   1    0.5309 50.186 -751.43\n",
      "- RC3    1    0.5402 50.195 -751.35\n",
      "- RC93   1    0.5424 50.197 -751.33\n",
      "- RC53   1    0.5662 50.221 -751.13\n",
      "- RC12   1    0.6287 50.284 -750.61\n",
      "- RC104  1    0.6297 50.285 -750.60\n",
      "- RC83   1    0.6351 50.290 -750.55\n",
      "- RC24   1    0.6593 50.314 -750.35\n",
      "- RC26   1    0.6896 50.344 -750.10\n",
      "- RC40   1    0.7144 50.369 -749.89\n",
      "- RC61   1    0.8305 50.485 -748.92\n",
      "- RC87   1    0.9585 50.613 -747.85\n",
      "- RC17   1    0.9928 50.648 -747.57\n",
      "- RC55   1    1.0957 50.751 -746.71\n",
      "- RC48   1    1.1208 50.776 -746.51\n",
      "- RC75   1    1.4890 51.144 -743.46\n",
      "- RC67   1    1.6642 51.319 -742.02\n",
      "- RC47   1    1.7211 51.376 -741.56\n",
      "- RC1    1    2.0313 51.686 -739.02\n",
      "- RC5    1    2.0926 51.748 -738.52\n",
      "- RC22   1    2.1035 51.758 -738.44\n",
      "- RC9    1    2.4389 52.094 -735.72\n",
      "- RC6    1    3.5711 53.226 -726.66\n",
      "- RC42   1    6.3545 56.009 -705.20\n",
      "- RC33   1    7.9116 57.566 -693.66\n",
      "\n",
      "Step:  AIC=-755.31\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + \n",
      "    RC66 + RC75 + RC78 + RC83 + RC82 + RC85 + RC87 + RC90 + RC59 + \n",
      "    RC89 + RC93 + RC95 + RC99 + RC101 + RC103 + RC104 + RC105 + \n",
      "    RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC90   1    0.0738 49.799 -756.68\n",
      "- RC51   1    0.0797 49.805 -756.63\n",
      "- RC107  1    0.0836 49.809 -756.60\n",
      "- RC99   1    0.0843 49.810 -756.59\n",
      "- RC56   1    0.0871 49.812 -756.57\n",
      "- RC101  1    0.0883 49.814 -756.56\n",
      "- RC64   1    0.0884 49.814 -756.56\n",
      "- RC85   1    0.0892 49.814 -756.55\n",
      "- RC105  1    0.0969 49.822 -756.49\n",
      "- RC60   1    0.1025 49.828 -756.44\n",
      "- RC57   1    0.1037 49.829 -756.43\n",
      "- RC41   1    0.1050 49.830 -756.42\n",
      "- RC38   1    0.1057 49.831 -756.41\n",
      "- RC49   1    0.1117 49.837 -756.36\n",
      "- RC8    1    0.1186 49.844 -756.30\n",
      "- RC34   1    0.1403 49.866 -756.12\n",
      "- RC78   1    0.1551 49.880 -756.00\n",
      "- RC13   1    0.1766 49.902 -755.81\n",
      "- RC32   1    0.1949 49.920 -755.66\n",
      "- RC95   1    0.1965 49.922 -755.65\n",
      "- RC30   1    0.2034 49.929 -755.59\n",
      "- RC66   1    0.2058 49.931 -755.57\n",
      "- RC46   1    0.2101 49.935 -755.53\n",
      "<none>               49.725 -755.31\n",
      "- RC11   1    0.2421 49.967 -755.26\n",
      "- RC25   1    0.2515 49.977 -755.18\n",
      "- RC45   1    0.2586 49.984 -755.12\n",
      "- RC89   1    0.2740 49.999 -754.99\n",
      "- RC65   1    0.2801 50.005 -754.94\n",
      "- RC73   1    0.2894 50.015 -754.86\n",
      "- RC15   1    0.2962 50.021 -754.81\n",
      "- RC10   1    0.3027 50.028 -754.75\n",
      "- RC103  1    0.3389 50.064 -754.45\n",
      "- RC37   1    0.3419 50.067 -754.42\n",
      "- RC21   1    0.3714 50.097 -754.17\n",
      "- RC63   1    0.3778 50.103 -754.12\n",
      "- RC52   1    0.3855 50.111 -754.05\n",
      "- RC23   1    0.3879 50.113 -754.03\n",
      "- RC19   1    0.3926 50.118 -754.00\n",
      "- RC76   1    0.4678 50.193 -753.36\n",
      "- RC20   1    0.4731 50.198 -753.32\n",
      "- RC29   1    0.4763 50.202 -753.29\n",
      "- RC94   1    0.4831 50.208 -753.24\n",
      "- RC59   1    0.4903 50.216 -753.18\n",
      "- RC86   1    0.4928 50.218 -753.15\n",
      "- RC82   1    0.5050 50.230 -753.05\n",
      "- RC58   1    0.5059 50.231 -753.05\n",
      "- RC84   1    0.5309 50.256 -752.84\n",
      "- RC3    1    0.5402 50.265 -752.76\n",
      "- RC93   1    0.5424 50.268 -752.74\n",
      "- RC53   1    0.5662 50.291 -752.54\n",
      "- RC12   1    0.6287 50.354 -752.02\n",
      "- RC104  1    0.6297 50.355 -752.01\n",
      "- RC83   1    0.6351 50.360 -751.96\n",
      "- RC24   1    0.6593 50.385 -751.76\n",
      "- RC26   1    0.6896 50.415 -751.51\n",
      "- RC40   1    0.7144 50.440 -751.30\n",
      "- RC61   1    0.8305 50.556 -750.33\n",
      "- RC87   1    0.9585 50.684 -749.27\n",
      "- RC17   1    0.9928 50.718 -748.98\n",
      "- RC55   1    1.0957 50.821 -748.13\n",
      "- RC48   1    1.1208 50.846 -747.92\n",
      "- RC75   1    1.4890 51.214 -744.88\n",
      "- RC67   1    1.6642 51.389 -743.45\n",
      "- RC47   1    1.7211 51.446 -742.98\n",
      "- RC1    1    2.0313 51.757 -740.45\n",
      "- RC5    1    2.0926 51.818 -739.95\n",
      "- RC22   1    2.1035 51.829 -739.86\n",
      "- RC9    1    2.4389 52.164 -737.15\n",
      "- RC6    1    3.5711 53.296 -728.11\n",
      "- RC42   1    6.3545 56.080 -706.68\n",
      "- RC33   1    7.9116 57.637 -695.15\n",
      "\n",
      "Step:  AIC=-756.68\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC51 + RC84 + RC76 + \n",
      "    RC66 + RC75 + RC78 + RC83 + RC82 + RC85 + RC87 + RC59 + RC89 + \n",
      "    RC93 + RC95 + RC99 + RC101 + RC103 + RC104 + RC105 + RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC51   1    0.0797 49.879 -758.01\n",
      "- RC107  1    0.0836 49.883 -757.98\n",
      "- RC99   1    0.0843 49.883 -757.97\n",
      "- RC56   1    0.0871 49.886 -757.95\n",
      "- RC101  1    0.0883 49.887 -757.94\n",
      "- RC64   1    0.0884 49.887 -757.94\n",
      "- RC85   1    0.0892 49.888 -757.93\n",
      "- RC105  1    0.0969 49.896 -757.86\n",
      "- RC60   1    0.1025 49.902 -757.82\n",
      "- RC57   1    0.1037 49.903 -757.81\n",
      "- RC41   1    0.1050 49.904 -757.80\n",
      "- RC38   1    0.1057 49.905 -757.79\n",
      "- RC49   1    0.1117 49.911 -757.74\n",
      "- RC8    1    0.1186 49.918 -757.68\n",
      "- RC34   1    0.1403 49.939 -757.50\n",
      "- RC78   1    0.1551 49.954 -757.37\n",
      "- RC13   1    0.1766 49.976 -757.19\n",
      "- RC32   1    0.1949 49.994 -757.04\n",
      "- RC95   1    0.1965 49.996 -757.02\n",
      "- RC30   1    0.2034 50.002 -756.97\n",
      "- RC66   1    0.2058 50.005 -756.95\n",
      "- RC46   1    0.2101 50.009 -756.91\n",
      "<none>               49.799 -756.68\n",
      "- RC11   1    0.2421 50.041 -756.64\n",
      "- RC25   1    0.2515 50.051 -756.56\n",
      "- RC45   1    0.2586 50.058 -756.50\n",
      "- RC89   1    0.2740 50.073 -756.37\n",
      "- RC65   1    0.2801 50.079 -756.32\n",
      "- RC73   1    0.2894 50.088 -756.24\n",
      "- RC15   1    0.2962 50.095 -756.19\n",
      "- RC10   1    0.3027 50.102 -756.13\n",
      "- RC103  1    0.3389 50.138 -755.83\n",
      "- RC37   1    0.3419 50.141 -755.80\n",
      "- RC21   1    0.3714 50.170 -755.55\n",
      "- RC63   1    0.3778 50.177 -755.50\n",
      "- RC52   1    0.3855 50.185 -755.44\n",
      "- RC23   1    0.3879 50.187 -755.42\n",
      "- RC19   1    0.3926 50.192 -755.38\n",
      "- RC76   1    0.4678 50.267 -754.75\n",
      "- RC20   1    0.4731 50.272 -754.70\n",
      "- RC29   1    0.4763 50.275 -754.67\n",
      "- RC94   1    0.4831 50.282 -754.62\n",
      "- RC59   1    0.4903 50.289 -754.56\n",
      "- RC86   1    0.4928 50.292 -754.54\n",
      "- RC82   1    0.5050 50.304 -754.43\n",
      "- RC58   1    0.5059 50.305 -754.43\n",
      "- RC84   1    0.5309 50.330 -754.22\n",
      "- RC3    1    0.5402 50.339 -754.14\n",
      "- RC93   1    0.5424 50.341 -754.12\n",
      "- RC53   1    0.5662 50.365 -753.92\n",
      "- RC12   1    0.6287 50.428 -753.40\n",
      "- RC104  1    0.6297 50.429 -753.39\n",
      "- RC83   1    0.6351 50.434 -753.35\n",
      "- RC24   1    0.6593 50.458 -753.15\n",
      "- RC26   1    0.6896 50.489 -752.89\n",
      "- RC40   1    0.7144 50.513 -752.69\n",
      "- RC61   1    0.8305 50.630 -751.72\n",
      "- RC87   1    0.9585 50.758 -750.66\n",
      "- RC17   1    0.9928 50.792 -750.37\n",
      "- RC55   1    1.0957 50.895 -749.52\n",
      "- RC48   1    1.1208 50.920 -749.31\n",
      "- RC75   1    1.4890 51.288 -746.28\n",
      "- RC67   1    1.6642 51.463 -744.84\n",
      "- RC47   1    1.7211 51.520 -744.38\n",
      "- RC1    1    2.0313 51.830 -741.85\n",
      "- RC5    1    2.0926 51.892 -741.35\n",
      "- RC22   1    2.1035 51.903 -741.26\n",
      "- RC9    1    2.4389 52.238 -738.55\n",
      "- RC6    1    3.5711 53.370 -729.53\n",
      "- RC42   1    6.3545 56.154 -708.12\n",
      "- RC33   1    7.9116 57.711 -696.61\n",
      "\n",
      "Step:  AIC=-758.01\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC84 + RC76 + RC66 + \n",
      "    RC75 + RC78 + RC83 + RC82 + RC85 + RC87 + RC59 + RC89 + RC93 + \n",
      "    RC95 + RC99 + RC101 + RC103 + RC104 + RC105 + RC107\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC107  1    0.0836 49.962 -759.30\n",
      "- RC99   1    0.0843 49.963 -759.30\n",
      "- RC56   1    0.0871 49.966 -759.28\n",
      "- RC101  1    0.0883 49.967 -759.27\n",
      "- RC64   1    0.0884 49.967 -759.26\n",
      "- RC85   1    0.0892 49.968 -759.26\n",
      "- RC105  1    0.0969 49.976 -759.19\n",
      "- RC60   1    0.1025 49.981 -759.15\n",
      "- RC57   1    0.1037 49.982 -759.13\n",
      "- RC41   1    0.1050 49.984 -759.12\n",
      "- RC38   1    0.1057 49.984 -759.12\n",
      "- RC49   1    0.1117 49.990 -759.07\n",
      "- RC8    1    0.1186 49.997 -759.01\n",
      "- RC34   1    0.1403 50.019 -758.83\n",
      "- RC78   1    0.1551 50.034 -758.70\n",
      "- RC13   1    0.1766 50.055 -758.52\n",
      "- RC32   1    0.1949 50.074 -758.37\n",
      "- RC95   1    0.1965 50.075 -758.35\n",
      "- RC30   1    0.2034 50.082 -758.30\n",
      "- RC66   1    0.2058 50.084 -758.28\n",
      "- RC46   1    0.2101 50.089 -758.24\n",
      "<none>               49.879 -758.01\n",
      "- RC11   1    0.2421 50.121 -757.97\n",
      "- RC25   1    0.2515 50.130 -757.89\n",
      "- RC45   1    0.2586 50.137 -757.83\n",
      "- RC89   1    0.2740 50.153 -757.70\n",
      "- RC65   1    0.2801 50.159 -757.65\n",
      "- RC73   1    0.2894 50.168 -757.57\n",
      "- RC15   1    0.2962 50.175 -757.52\n",
      "- RC10   1    0.3027 50.181 -757.46\n",
      "- RC103  1    0.3389 50.218 -757.16\n",
      "- RC37   1    0.3419 50.221 -757.13\n",
      "- RC21   1    0.3714 50.250 -756.89\n",
      "- RC63   1    0.3778 50.256 -756.83\n",
      "- RC52   1    0.3855 50.264 -756.77\n",
      "- RC23   1    0.3879 50.267 -756.75\n",
      "- RC19   1    0.3926 50.271 -756.71\n",
      "- RC76   1    0.4678 50.346 -756.08\n",
      "- RC20   1    0.4731 50.352 -756.03\n",
      "- RC29   1    0.4763 50.355 -756.01\n",
      "- RC94   1    0.4831 50.362 -755.95\n",
      "- RC59   1    0.4903 50.369 -755.89\n",
      "- RC86   1    0.4928 50.372 -755.87\n",
      "- RC82   1    0.5050 50.384 -755.77\n",
      "- RC58   1    0.5059 50.385 -755.76\n",
      "- RC84   1    0.5309 50.410 -755.55\n",
      "- RC3    1    0.5402 50.419 -755.47\n",
      "- RC93   1    0.5424 50.421 -755.46\n",
      "- RC53   1    0.5662 50.445 -755.26\n",
      "- RC12   1    0.6287 50.507 -754.74\n",
      "- RC104  1    0.6297 50.508 -754.73\n",
      "- RC83   1    0.6351 50.514 -754.68\n",
      "- RC24   1    0.6593 50.538 -754.48\n",
      "- RC26   1    0.6896 50.568 -754.23\n",
      "- RC40   1    0.7144 50.593 -754.02\n",
      "- RC61   1    0.8305 50.709 -753.06\n",
      "- RC87   1    0.9585 50.837 -752.00\n",
      "- RC17   1    0.9928 50.872 -751.71\n",
      "- RC55   1    1.0957 50.974 -750.86\n",
      "- RC48   1    1.1208 50.999 -750.65\n",
      "- RC75   1    1.4890 51.368 -747.63\n",
      "- RC67   1    1.6642 51.543 -746.19\n",
      "- RC47   1    1.7211 51.600 -745.73\n",
      "- RC1    1    2.0313 51.910 -743.20\n",
      "- RC5    1    2.0926 51.971 -742.71\n",
      "- RC22   1    2.1035 51.982 -742.62\n",
      "- RC9    1    2.4389 52.318 -739.91\n",
      "- RC6    1    3.5711 53.450 -730.90\n",
      "- RC42   1    6.3545 56.233 -709.53\n",
      "- RC33   1    7.9116 57.790 -698.03\n",
      "\n",
      "Step:  AIC=-759.3\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC84 + RC76 + RC66 + \n",
      "    RC75 + RC78 + RC83 + RC82 + RC85 + RC87 + RC59 + RC89 + RC93 + \n",
      "    RC95 + RC99 + RC101 + RC103 + RC104 + RC105\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC99   1    0.0843 50.047 -760.59\n",
      "- RC56   1    0.0871 50.049 -760.57\n",
      "- RC101  1    0.0883 50.051 -760.56\n",
      "- RC64   1    0.0884 50.051 -760.56\n",
      "- RC85   1    0.0892 50.051 -760.55\n",
      "- RC105  1    0.0969 50.059 -760.49\n",
      "- RC60   1    0.1025 50.065 -760.44\n",
      "- RC57   1    0.1037 50.066 -760.43\n",
      "- RC41   1    0.1050 50.067 -760.42\n",
      "- RC38   1    0.1057 50.068 -760.42\n",
      "- RC49   1    0.1117 50.074 -760.36\n",
      "- RC8    1    0.1186 50.081 -760.31\n",
      "- RC34   1    0.1403 50.103 -760.12\n",
      "- RC78   1    0.1551 50.117 -760.00\n",
      "- RC13   1    0.1766 50.139 -759.82\n",
      "- RC32   1    0.1949 50.157 -759.67\n",
      "- RC95   1    0.1965 50.159 -759.65\n",
      "- RC30   1    0.2034 50.166 -759.59\n",
      "- RC66   1    0.2058 50.168 -759.57\n",
      "- RC46   1    0.2101 50.172 -759.54\n",
      "<none>               49.962 -759.30\n",
      "- RC11   1    0.2421 50.204 -759.27\n",
      "- RC25   1    0.2515 50.214 -759.19\n",
      "- RC45   1    0.2586 50.221 -759.13\n",
      "- RC89   1    0.2740 50.236 -759.00\n",
      "- RC65   1    0.2801 50.242 -758.95\n",
      "- RC73   1    0.2894 50.252 -758.87\n",
      "- RC15   1    0.2962 50.258 -758.82\n",
      "- RC10   1    0.3027 50.265 -758.76\n",
      "- RC103  1    0.3389 50.301 -758.46\n",
      "- RC37   1    0.3419 50.304 -758.43\n",
      "- RC21   1    0.3714 50.334 -758.19\n",
      "- RC63   1    0.3778 50.340 -758.13\n",
      "- RC52   1    0.3855 50.348 -758.07\n",
      "- RC23   1    0.3879 50.350 -758.05\n",
      "- RC19   1    0.3926 50.355 -758.01\n",
      "- RC76   1    0.4678 50.430 -757.38\n",
      "- RC20   1    0.4731 50.435 -757.34\n",
      "- RC29   1    0.4763 50.439 -757.31\n",
      "- RC94   1    0.4831 50.445 -757.25\n",
      "- RC59   1    0.4903 50.453 -757.19\n",
      "- RC86   1    0.4928 50.455 -757.17\n",
      "- RC82   1    0.5050 50.467 -757.07\n",
      "- RC58   1    0.5059 50.468 -757.06\n",
      "- RC84   1    0.5309 50.493 -756.85\n",
      "- RC3    1    0.5402 50.503 -756.78\n",
      "- RC93   1    0.5424 50.505 -756.76\n",
      "- RC53   1    0.5662 50.529 -756.56\n",
      "- RC12   1    0.6287 50.591 -756.04\n",
      "- RC104  1    0.6297 50.592 -756.03\n",
      "- RC83   1    0.6351 50.597 -755.99\n",
      "- RC24   1    0.6593 50.622 -755.79\n",
      "- RC26   1    0.6896 50.652 -755.53\n",
      "- RC40   1    0.7144 50.677 -755.33\n",
      "- RC61   1    0.8305 50.793 -754.36\n",
      "- RC87   1    0.9585 50.921 -753.30\n",
      "- RC17   1    0.9928 50.955 -753.02\n",
      "- RC55   1    1.0957 51.058 -752.17\n",
      "- RC48   1    1.1208 51.083 -751.96\n",
      "- RC75   1    1.4890 51.451 -748.94\n",
      "- RC67   1    1.6642 51.626 -747.51\n",
      "- RC47   1    1.7211 51.683 -747.05\n",
      "- RC1    1    2.0313 51.994 -744.53\n",
      "- RC5    1    2.0926 52.055 -744.03\n",
      "- RC22   1    2.1035 52.066 -743.94\n",
      "- RC9    1    2.4389 52.401 -741.24\n",
      "- RC6    1    3.5711 53.533 -732.24\n",
      "- RC42   1    6.3545 56.317 -710.90\n",
      "- RC33   1    7.9116 57.874 -699.42\n",
      "\n",
      "Step:  AIC=-760.59\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC56 + RC60 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC64 + RC61 + RC84 + RC76 + RC66 + \n",
      "    RC75 + RC78 + RC83 + RC82 + RC85 + RC87 + RC59 + RC89 + RC93 + \n",
      "    RC95 + RC101 + RC103 + RC104 + RC105\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC56   1    0.0871 50.134 -761.86\n",
      "- RC101  1    0.0883 50.135 -761.85\n",
      "- RC64   1    0.0884 50.135 -761.85\n",
      "- RC85   1    0.0892 50.136 -761.84\n",
      "- RC105  1    0.0969 50.143 -761.78\n",
      "- RC60   1    0.1025 50.149 -761.73\n",
      "- RC57   1    0.1037 50.150 -761.72\n",
      "- RC41   1    0.1050 50.152 -761.71\n",
      "- RC38   1    0.1057 50.152 -761.71\n",
      "- RC49   1    0.1117 50.158 -761.66\n",
      "- RC8    1    0.1186 50.165 -761.60\n",
      "- RC34   1    0.1403 50.187 -761.42\n",
      "- RC78   1    0.1551 50.202 -761.29\n",
      "- RC13   1    0.1766 50.223 -761.11\n",
      "- RC32   1    0.1949 50.242 -760.96\n",
      "- RC95   1    0.1965 50.243 -760.94\n",
      "- RC30   1    0.2034 50.250 -760.89\n",
      "- RC66   1    0.2058 50.252 -760.87\n",
      "- RC46   1    0.2101 50.257 -760.83\n",
      "<none>               50.047 -760.59\n",
      "- RC11   1    0.2421 50.289 -760.56\n",
      "- RC25   1    0.2515 50.298 -760.48\n",
      "- RC45   1    0.2586 50.305 -760.42\n",
      "- RC89   1    0.2740 50.321 -760.30\n",
      "- RC65   1    0.2801 50.327 -760.24\n",
      "- RC73   1    0.2894 50.336 -760.17\n",
      "- RC15   1    0.2962 50.343 -760.11\n",
      "- RC10   1    0.3027 50.349 -760.06\n",
      "- RC103  1    0.3389 50.386 -759.75\n",
      "- RC37   1    0.3419 50.389 -759.73\n",
      "- RC21   1    0.3714 50.418 -759.48\n",
      "- RC63   1    0.3778 50.424 -759.43\n",
      "- RC52   1    0.3855 50.432 -759.36\n",
      "- RC23   1    0.3879 50.435 -759.34\n",
      "- RC19   1    0.3926 50.439 -759.31\n",
      "- RC76   1    0.4678 50.514 -758.68\n",
      "- RC20   1    0.4731 50.520 -758.63\n",
      "- RC29   1    0.4763 50.523 -758.61\n",
      "- RC94   1    0.4831 50.530 -758.55\n",
      "- RC59   1    0.4903 50.537 -758.49\n",
      "- RC86   1    0.4928 50.539 -758.47\n",
      "- RC82   1    0.5050 50.552 -758.37\n",
      "- RC58   1    0.5059 50.552 -758.36\n",
      "- RC84   1    0.5309 50.577 -758.15\n",
      "- RC3    1    0.5402 50.587 -758.07\n",
      "- RC93   1    0.5424 50.589 -758.06\n",
      "- RC53   1    0.5662 50.613 -757.86\n",
      "- RC12   1    0.6287 50.675 -757.34\n",
      "- RC104  1    0.6297 50.676 -757.33\n",
      "- RC83   1    0.6351 50.682 -757.29\n",
      "- RC24   1    0.6593 50.706 -757.08\n",
      "- RC26   1    0.6896 50.736 -756.83\n",
      "- RC40   1    0.7144 50.761 -756.63\n",
      "- RC61   1    0.8305 50.877 -755.67\n",
      "- RC87   1    0.9585 51.005 -754.61\n",
      "- RC17   1    0.9928 51.039 -754.32\n",
      "- RC55   1    1.0957 51.142 -753.48\n",
      "- RC48   1    1.1208 51.167 -753.27\n",
      "- RC75   1    1.4890 51.536 -750.25\n",
      "- RC67   1    1.6642 51.711 -748.82\n",
      "- RC47   1    1.7211 51.768 -748.36\n",
      "- RC1    1    2.0313 52.078 -745.84\n",
      "- RC5    1    2.0926 52.139 -745.35\n",
      "- RC22   1    2.1035 52.150 -745.26\n",
      "- RC9    1    2.4389 52.485 -742.56\n",
      "- RC6    1    3.5711 53.618 -733.58\n",
      "- RC42   1    6.3545 56.401 -712.27\n",
      "- RC33   1    7.9116 57.958 -700.81\n",
      "\n",
      "Step:  AIC=-761.86\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC60 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC64 + RC61 + RC84 + RC76 + RC66 + RC75 + \n",
      "    RC78 + RC83 + RC82 + RC85 + RC87 + RC59 + RC89 + RC93 + RC95 + \n",
      "    RC101 + RC103 + RC104 + RC105\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC101  1    0.0883 50.222 -763.12\n",
      "- RC64   1    0.0884 50.222 -763.12\n",
      "- RC85   1    0.0892 50.223 -763.11\n",
      "- RC105  1    0.0969 50.231 -763.05\n",
      "- RC60   1    0.1025 50.236 -763.00\n",
      "- RC57   1    0.1037 50.237 -762.99\n",
      "- RC41   1    0.1050 50.239 -762.98\n",
      "- RC38   1    0.1057 50.239 -762.98\n",
      "- RC49   1    0.1117 50.245 -762.93\n",
      "- RC8    1    0.1186 50.252 -762.87\n",
      "- RC34   1    0.1403 50.274 -762.69\n",
      "- RC78   1    0.1551 50.289 -762.56\n",
      "- RC13   1    0.1766 50.310 -762.38\n",
      "- RC32   1    0.1949 50.329 -762.23\n",
      "- RC95   1    0.1965 50.330 -762.22\n",
      "- RC30   1    0.2034 50.337 -762.16\n",
      "- RC66   1    0.2058 50.339 -762.14\n",
      "- RC46   1    0.2101 50.344 -762.10\n",
      "<none>               50.134 -761.86\n",
      "- RC11   1    0.2421 50.376 -761.83\n",
      "- RC25   1    0.2515 50.385 -761.76\n",
      "- RC45   1    0.2586 50.392 -761.70\n",
      "- RC89   1    0.2740 50.408 -761.57\n",
      "- RC65   1    0.2801 50.414 -761.52\n",
      "- RC73   1    0.2894 50.423 -761.44\n",
      "- RC15   1    0.2962 50.430 -761.38\n",
      "- RC10   1    0.3027 50.436 -761.33\n",
      "- RC103  1    0.3389 50.473 -761.03\n",
      "- RC37   1    0.3419 50.476 -761.00\n",
      "- RC21   1    0.3714 50.505 -760.76\n",
      "- RC63   1    0.3778 50.511 -760.70\n",
      "- RC52   1    0.3855 50.519 -760.64\n",
      "- RC23   1    0.3879 50.522 -760.62\n",
      "- RC19   1    0.3926 50.526 -760.58\n",
      "- RC76   1    0.4678 50.601 -759.95\n",
      "- RC20   1    0.4731 50.607 -759.91\n",
      "- RC29   1    0.4763 50.610 -759.88\n",
      "- RC94   1    0.4831 50.617 -759.83\n",
      "- RC59   1    0.4903 50.624 -759.76\n",
      "- RC86   1    0.4928 50.627 -759.74\n",
      "- RC82   1    0.5050 50.639 -759.64\n",
      "- RC58   1    0.5059 50.640 -759.64\n",
      "- RC84   1    0.5309 50.665 -759.43\n",
      "- RC3    1    0.5402 50.674 -759.35\n",
      "- RC93   1    0.5424 50.676 -759.33\n",
      "- RC53   1    0.5662 50.700 -759.13\n",
      "- RC12   1    0.6287 50.762 -758.62\n",
      "- RC104  1    0.6297 50.763 -758.61\n",
      "- RC83   1    0.6351 50.769 -758.56\n",
      "- RC24   1    0.6593 50.793 -758.36\n",
      "- RC26   1    0.6896 50.823 -758.11\n",
      "- RC40   1    0.7144 50.848 -757.91\n",
      "- RC61   1    0.8305 50.964 -756.95\n",
      "- RC87   1    0.9585 51.092 -755.89\n",
      "- RC17   1    0.9928 51.127 -755.61\n",
      "- RC55   1    1.0957 51.229 -754.76\n",
      "- RC48   1    1.1208 51.254 -754.55\n",
      "- RC75   1    1.4890 51.623 -751.54\n",
      "- RC67   1    1.6642 51.798 -750.11\n",
      "- RC47   1    1.7211 51.855 -749.65\n",
      "- RC1    1    2.0313 52.165 -747.14\n",
      "- RC5    1    2.0926 52.226 -746.65\n",
      "- RC22   1    2.1035 52.237 -746.56\n",
      "- RC9    1    2.4389 52.573 -743.86\n",
      "- RC6    1    3.5711 53.705 -734.89\n",
      "- RC42   1    6.3545 56.488 -713.62\n",
      "- RC33   1    7.9116 58.045 -702.17\n",
      "\n",
      "Step:  AIC=-763.12\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC60 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC64 + RC61 + RC84 + RC76 + RC66 + RC75 + \n",
      "    RC78 + RC83 + RC82 + RC85 + RC87 + RC59 + RC89 + RC93 + RC95 + \n",
      "    RC103 + RC104 + RC105\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC64   1    0.0884 50.310 -764.38\n",
      "- RC85   1    0.0892 50.311 -764.37\n",
      "- RC105  1    0.0969 50.319 -764.31\n",
      "- RC60   1    0.1025 50.324 -764.26\n",
      "- RC57   1    0.1037 50.326 -764.25\n",
      "- RC41   1    0.1050 50.327 -764.24\n",
      "- RC38   1    0.1057 50.328 -764.24\n",
      "- RC49   1    0.1117 50.334 -764.19\n",
      "- RC8    1    0.1186 50.341 -764.13\n",
      "- RC34   1    0.1403 50.362 -763.95\n",
      "- RC78   1    0.1551 50.377 -763.82\n",
      "- RC13   1    0.1766 50.399 -763.64\n",
      "- RC32   1    0.1949 50.417 -763.49\n",
      "- RC95   1    0.1965 50.418 -763.48\n",
      "- RC30   1    0.2034 50.425 -763.42\n",
      "- RC66   1    0.2058 50.428 -763.40\n",
      "- RC46   1    0.2101 50.432 -763.36\n",
      "<none>               50.222 -763.12\n",
      "- RC11   1    0.2421 50.464 -763.10\n",
      "- RC25   1    0.2515 50.474 -763.02\n",
      "- RC45   1    0.2586 50.481 -762.96\n",
      "- RC89   1    0.2740 50.496 -762.83\n",
      "- RC65   1    0.2801 50.502 -762.78\n",
      "- RC73   1    0.2894 50.511 -762.70\n",
      "- RC15   1    0.2962 50.518 -762.65\n",
      "- RC10   1    0.3027 50.525 -762.59\n",
      "- RC103  1    0.3389 50.561 -762.29\n",
      "- RC37   1    0.3419 50.564 -762.27\n",
      "- RC21   1    0.3714 50.593 -762.02\n",
      "- RC63   1    0.3778 50.600 -761.97\n",
      "- RC52   1    0.3855 50.607 -761.90\n",
      "- RC23   1    0.3879 50.610 -761.88\n",
      "- RC19   1    0.3926 50.615 -761.84\n",
      "- RC76   1    0.4678 50.690 -761.22\n",
      "- RC20   1    0.4731 50.695 -761.17\n",
      "- RC29   1    0.4763 50.698 -761.15\n",
      "- RC94   1    0.4831 50.705 -761.09\n",
      "- RC59   1    0.4903 50.712 -761.03\n",
      "- RC86   1    0.4928 50.715 -761.01\n",
      "- RC82   1    0.5050 50.727 -760.91\n",
      "- RC58   1    0.5059 50.728 -760.90\n",
      "- RC84   1    0.5309 50.753 -760.70\n",
      "- RC3    1    0.5402 50.762 -760.62\n",
      "- RC93   1    0.5424 50.764 -760.60\n",
      "- RC53   1    0.5662 50.788 -760.40\n",
      "- RC12   1    0.6287 50.851 -759.88\n",
      "- RC104  1    0.6297 50.852 -759.88\n",
      "- RC83   1    0.6351 50.857 -759.83\n",
      "- RC24   1    0.6593 50.881 -759.63\n",
      "- RC26   1    0.6896 50.912 -759.38\n",
      "- RC40   1    0.7144 50.936 -759.18\n",
      "- RC61   1    0.8305 51.052 -758.22\n",
      "- RC87   1    0.9585 51.180 -757.16\n",
      "- RC17   1    0.9928 51.215 -756.88\n",
      "- RC55   1    1.0957 51.318 -756.04\n",
      "- RC48   1    1.1208 51.343 -755.83\n",
      "- RC75   1    1.4890 51.711 -752.82\n",
      "- RC67   1    1.6642 51.886 -751.40\n",
      "- RC47   1    1.7211 51.943 -750.94\n",
      "- RC1    1    2.0313 52.253 -748.43\n",
      "- RC5    1    2.0926 52.315 -747.94\n",
      "- RC22   1    2.1035 52.325 -747.85\n",
      "- RC9    1    2.4389 52.661 -745.16\n",
      "- RC6    1    3.5711 53.793 -736.20\n",
      "- RC42   1    6.3545 56.576 -714.96\n",
      "- RC33   1    7.9116 58.134 -703.53\n",
      "\n",
      "Step:  AIC=-764.38\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC60 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + RC66 + RC75 + RC78 + \n",
      "    RC83 + RC82 + RC85 + RC87 + RC59 + RC89 + RC93 + RC95 + RC103 + \n",
      "    RC104 + RC105\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC85   1    0.0892 50.400 -765.64\n",
      "- RC105  1    0.0969 50.407 -765.57\n",
      "- RC60   1    0.1025 50.413 -765.52\n",
      "- RC57   1    0.1037 50.414 -765.51\n",
      "- RC41   1    0.1050 50.415 -765.50\n",
      "- RC38   1    0.1057 50.416 -765.50\n",
      "- RC49   1    0.1117 50.422 -765.45\n",
      "- RC8    1    0.1186 50.429 -765.39\n",
      "- RC34   1    0.1403 50.451 -765.21\n",
      "- RC78   1    0.1551 50.465 -765.09\n",
      "- RC13   1    0.1766 50.487 -764.91\n",
      "- RC32   1    0.1949 50.505 -764.75\n",
      "- RC95   1    0.1965 50.507 -764.74\n",
      "- RC30   1    0.2034 50.514 -764.68\n",
      "- RC66   1    0.2058 50.516 -764.66\n",
      "- RC46   1    0.2101 50.520 -764.63\n",
      "<none>               50.310 -764.38\n",
      "- RC11   1    0.2421 50.552 -764.36\n",
      "- RC25   1    0.2515 50.562 -764.28\n",
      "- RC45   1    0.2586 50.569 -764.22\n",
      "- RC89   1    0.2740 50.584 -764.09\n",
      "- RC65   1    0.2801 50.590 -764.04\n",
      "- RC73   1    0.2894 50.600 -763.97\n",
      "- RC15   1    0.2962 50.607 -763.91\n",
      "- RC10   1    0.3027 50.613 -763.86\n",
      "- RC103  1    0.3389 50.649 -763.56\n",
      "- RC37   1    0.3419 50.652 -763.53\n",
      "- RC21   1    0.3714 50.682 -763.29\n",
      "- RC63   1    0.3778 50.688 -763.23\n",
      "- RC52   1    0.3855 50.696 -763.17\n",
      "- RC23   1    0.3879 50.698 -763.15\n",
      "- RC19   1    0.3926 50.703 -763.11\n",
      "- RC76   1    0.4678 50.778 -762.49\n",
      "- RC20   1    0.4731 50.783 -762.44\n",
      "- RC29   1    0.4763 50.787 -762.41\n",
      "- RC94   1    0.4831 50.793 -762.36\n",
      "- RC59   1    0.4903 50.801 -762.30\n",
      "- RC86   1    0.4928 50.803 -762.28\n",
      "- RC82   1    0.5050 50.815 -762.18\n",
      "- RC58   1    0.5059 50.816 -762.17\n",
      "- RC84   1    0.5309 50.841 -761.96\n",
      "- RC3    1    0.5402 50.851 -761.89\n",
      "- RC93   1    0.5424 50.853 -761.87\n",
      "- RC53   1    0.5662 50.877 -761.67\n",
      "- RC12   1    0.6287 50.939 -761.15\n",
      "- RC104  1    0.6297 50.940 -761.15\n",
      "- RC83   1    0.6351 50.945 -761.10\n",
      "- RC24   1    0.6593 50.970 -760.90\n",
      "- RC26   1    0.6896 51.000 -760.65\n",
      "- RC40   1    0.7144 51.025 -760.45\n",
      "- RC61   1    0.8305 51.141 -759.49\n",
      "- RC87   1    0.9585 51.269 -758.44\n",
      "- RC17   1    0.9928 51.303 -758.15\n",
      "- RC55   1    1.0957 51.406 -757.31\n",
      "- RC48   1    1.1208 51.431 -757.11\n",
      "- RC75   1    1.4890 51.799 -754.10\n",
      "- RC67   1    1.6642 51.975 -752.68\n",
      "- RC47   1    1.7211 52.031 -752.22\n",
      "- RC1    1    2.0313 52.342 -749.72\n",
      "- RC5    1    2.0926 52.403 -749.22\n",
      "- RC22   1    2.1035 52.414 -749.14\n",
      "- RC9    1    2.4389 52.749 -746.45\n",
      "- RC6    1    3.5711 53.881 -737.51\n",
      "- RC42   1    6.3545 56.665 -716.31\n",
      "- RC33   1    7.9116 58.222 -704.89\n",
      "\n",
      "Step:  AIC=-765.64\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC60 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + RC66 + RC75 + RC78 + \n",
      "    RC83 + RC82 + RC87 + RC59 + RC89 + RC93 + RC95 + RC103 + \n",
      "    RC104 + RC105\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC105  1    0.0969 50.496 -766.83\n",
      "- RC60   1    0.1025 50.502 -766.78\n",
      "- RC57   1    0.1037 50.503 -766.77\n",
      "- RC41   1    0.1050 50.505 -766.76\n",
      "- RC38   1    0.1057 50.505 -766.75\n",
      "- RC49   1    0.1117 50.511 -766.70\n",
      "- RC8    1    0.1186 50.518 -766.65\n",
      "- RC34   1    0.1403 50.540 -766.47\n",
      "- RC78   1    0.1551 50.555 -766.34\n",
      "- RC13   1    0.1766 50.576 -766.16\n",
      "- RC32   1    0.1949 50.594 -766.01\n",
      "- RC95   1    0.1965 50.596 -766.00\n",
      "- RC30   1    0.2034 50.603 -765.94\n",
      "- RC66   1    0.2058 50.605 -765.92\n",
      "- RC46   1    0.2101 50.610 -765.88\n",
      "<none>               50.400 -765.64\n",
      "- RC11   1    0.2421 50.642 -765.62\n",
      "- RC25   1    0.2515 50.651 -765.54\n",
      "- RC45   1    0.2586 50.658 -765.48\n",
      "- RC89   1    0.2740 50.674 -765.35\n",
      "- RC65   1    0.2801 50.680 -765.30\n",
      "- RC73   1    0.2894 50.689 -765.23\n",
      "- RC15   1    0.2962 50.696 -765.17\n",
      "- RC10   1    0.3027 50.702 -765.11\n",
      "- RC103  1    0.3389 50.738 -764.81\n",
      "- RC37   1    0.3419 50.741 -764.79\n",
      "- RC21   1    0.3714 50.771 -764.54\n",
      "- RC63   1    0.3778 50.777 -764.49\n",
      "- RC52   1    0.3855 50.785 -764.43\n",
      "- RC23   1    0.3879 50.787 -764.41\n",
      "- RC19   1    0.3926 50.792 -764.37\n",
      "- RC76   1    0.4678 50.867 -763.75\n",
      "- RC20   1    0.4731 50.873 -763.70\n",
      "- RC29   1    0.4763 50.876 -763.68\n",
      "- RC94   1    0.4831 50.883 -763.62\n",
      "- RC59   1    0.4903 50.890 -763.56\n",
      "- RC86   1    0.4928 50.892 -763.54\n",
      "- RC82   1    0.5050 50.905 -763.44\n",
      "- RC58   1    0.5059 50.905 -763.43\n",
      "- RC84   1    0.5309 50.930 -763.22\n",
      "- RC3    1    0.5402 50.940 -763.15\n",
      "- RC93   1    0.5424 50.942 -763.13\n",
      "- RC53   1    0.5662 50.966 -762.93\n",
      "- RC12   1    0.6287 51.028 -762.42\n",
      "- RC104  1    0.6297 51.029 -762.41\n",
      "- RC83   1    0.6351 51.035 -762.36\n",
      "- RC24   1    0.6593 51.059 -762.16\n",
      "- RC26   1    0.6896 51.089 -761.91\n",
      "- RC40   1    0.7144 51.114 -761.71\n",
      "- RC61   1    0.8305 51.230 -760.76\n",
      "- RC87   1    0.9585 51.358 -759.70\n",
      "- RC17   1    0.9928 51.392 -759.42\n",
      "- RC55   1    1.0957 51.495 -758.58\n",
      "- RC48   1    1.1208 51.520 -758.38\n",
      "- RC75   1    1.4890 51.889 -755.38\n",
      "- RC67   1    1.6642 52.064 -753.96\n",
      "- RC47   1    1.7211 52.121 -753.50\n",
      "- RC1    1    2.0313 52.431 -751.00\n",
      "- RC5    1    2.0926 52.492 -750.51\n",
      "- RC22   1    2.1035 52.503 -750.42\n",
      "- RC9    1    2.4389 52.838 -747.74\n",
      "- RC6    1    3.5711 53.971 -738.82\n",
      "- RC42   1    6.3545 56.754 -717.64\n",
      "- RC33   1    7.9116 58.311 -706.25\n",
      "\n",
      "Step:  AIC=-766.83\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC60 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + RC66 + RC75 + RC78 + \n",
      "    RC83 + RC82 + RC87 + RC59 + RC89 + RC93 + RC95 + RC103 + \n",
      "    RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC60   1    0.1025 50.599 -767.97\n",
      "- RC57   1    0.1037 50.600 -767.96\n",
      "- RC41   1    0.1050 50.601 -767.95\n",
      "- RC38   1    0.1057 50.602 -767.95\n",
      "- RC49   1    0.1117 50.608 -767.90\n",
      "- RC8    1    0.1186 50.615 -767.84\n",
      "- RC34   1    0.1403 50.637 -767.66\n",
      "- RC78   1    0.1551 50.652 -767.54\n",
      "- RC13   1    0.1766 50.673 -767.36\n",
      "- RC32   1    0.1949 50.691 -767.21\n",
      "- RC95   1    0.1965 50.693 -767.19\n",
      "- RC30   1    0.2034 50.700 -767.14\n",
      "- RC66   1    0.2058 50.702 -767.12\n",
      "- RC46   1    0.2101 50.707 -767.08\n",
      "<none>               50.496 -766.83\n",
      "- RC11   1    0.2421 50.738 -766.81\n",
      "- RC25   1    0.2515 50.748 -766.74\n",
      "- RC45   1    0.2586 50.755 -766.68\n",
      "- RC89   1    0.2740 50.770 -766.55\n",
      "- RC65   1    0.2801 50.777 -766.50\n",
      "- RC73   1    0.2894 50.786 -766.42\n",
      "- RC15   1    0.2962 50.793 -766.37\n",
      "- RC10   1    0.3027 50.799 -766.31\n",
      "- RC103  1    0.3389 50.835 -766.01\n",
      "- RC37   1    0.3419 50.838 -765.99\n",
      "- RC21   1    0.3714 50.868 -765.74\n",
      "- RC63   1    0.3778 50.874 -765.69\n",
      "- RC52   1    0.3855 50.882 -765.63\n",
      "- RC23   1    0.3879 50.884 -765.61\n",
      "- RC19   1    0.3926 50.889 -765.57\n",
      "- RC76   1    0.4678 50.964 -764.95\n",
      "- RC20   1    0.4731 50.970 -764.90\n",
      "- RC29   1    0.4763 50.973 -764.88\n",
      "- RC94   1    0.4831 50.979 -764.82\n",
      "- RC59   1    0.4903 50.987 -764.76\n",
      "- RC86   1    0.4928 50.989 -764.74\n",
      "- RC82   1    0.5050 51.001 -764.64\n",
      "- RC58   1    0.5059 51.002 -764.63\n",
      "- RC84   1    0.5309 51.027 -764.42\n",
      "- RC3    1    0.5402 51.037 -764.35\n",
      "- RC93   1    0.5424 51.039 -764.33\n",
      "- RC53   1    0.5662 51.063 -764.13\n",
      "- RC12   1    0.6287 51.125 -763.62\n",
      "- RC104  1    0.6297 51.126 -763.61\n",
      "- RC83   1    0.6351 51.132 -763.57\n",
      "- RC24   1    0.6593 51.156 -763.37\n",
      "- RC26   1    0.6896 51.186 -763.12\n",
      "- RC40   1    0.7144 51.211 -762.91\n",
      "- RC61   1    0.8305 51.327 -761.96\n",
      "- RC87   1    0.9585 51.455 -760.91\n",
      "- RC17   1    0.9928 51.489 -760.63\n",
      "- RC55   1    1.0957 51.592 -759.79\n",
      "- RC48   1    1.1208 51.617 -759.59\n",
      "- RC75   1    1.4890 51.985 -756.59\n",
      "- RC67   1    1.6642 52.161 -755.18\n",
      "- RC47   1    1.7211 52.217 -754.72\n",
      "- RC1    1    2.0313 52.528 -752.22\n",
      "- RC5    1    2.0926 52.589 -751.73\n",
      "- RC22   1    2.1035 52.600 -751.65\n",
      "- RC9    1    2.4389 52.935 -748.97\n",
      "- RC6    1    3.5711 54.068 -740.06\n",
      "- RC42   1    6.3545 56.851 -718.93\n",
      "- RC33   1    7.9116 58.408 -707.55\n",
      "\n",
      "Step:  AIC=-767.97\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC57 + RC45 + RC86 + RC47 + RC73 + RC94 + \n",
      "    RC65 + RC10 + RC61 + RC84 + RC76 + RC66 + RC75 + RC78 + RC83 + \n",
      "    RC82 + RC87 + RC59 + RC89 + RC93 + RC95 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC57   1    0.1037 50.703 -769.11\n",
      "- RC41   1    0.1050 50.704 -769.10\n",
      "- RC38   1    0.1057 50.705 -769.10\n",
      "- RC49   1    0.1117 50.711 -769.05\n",
      "- RC8    1    0.1186 50.718 -768.99\n",
      "- RC34   1    0.1403 50.739 -768.81\n",
      "- RC78   1    0.1551 50.754 -768.69\n",
      "- RC13   1    0.1766 50.775 -768.51\n",
      "- RC32   1    0.1949 50.794 -768.36\n",
      "- RC95   1    0.1965 50.795 -768.34\n",
      "- RC30   1    0.2034 50.802 -768.29\n",
      "- RC66   1    0.2058 50.805 -768.27\n",
      "- RC46   1    0.2101 50.809 -768.23\n",
      "<none>               50.599 -767.97\n",
      "- RC11   1    0.2421 50.841 -767.96\n",
      "- RC25   1    0.2515 50.850 -767.89\n",
      "- RC45   1    0.2586 50.857 -767.83\n",
      "- RC89   1    0.2740 50.873 -767.70\n",
      "- RC65   1    0.2801 50.879 -767.65\n",
      "- RC73   1    0.2894 50.888 -767.57\n",
      "- RC15   1    0.2962 50.895 -767.52\n",
      "- RC10   1    0.3027 50.902 -767.46\n",
      "- RC103  1    0.3389 50.938 -767.16\n",
      "- RC37   1    0.3419 50.941 -767.14\n",
      "- RC21   1    0.3714 50.970 -766.89\n",
      "- RC63   1    0.3778 50.977 -766.84\n",
      "- RC52   1    0.3855 50.984 -766.78\n",
      "- RC23   1    0.3879 50.987 -766.76\n",
      "- RC19   1    0.3926 50.991 -766.72\n",
      "- RC76   1    0.4678 51.067 -766.10\n",
      "- RC20   1    0.4731 51.072 -766.06\n",
      "- RC29   1    0.4763 51.075 -766.03\n",
      "- RC94   1    0.4831 51.082 -765.97\n",
      "- RC59   1    0.4903 51.089 -765.91\n",
      "- RC86   1    0.4928 51.092 -765.89\n",
      "- RC82   1    0.5050 51.104 -765.79\n",
      "- RC58   1    0.5059 51.105 -765.79\n",
      "- RC84   1    0.5309 51.130 -765.58\n",
      "- RC3    1    0.5402 51.139 -765.50\n",
      "- RC93   1    0.5424 51.141 -765.48\n",
      "- RC53   1    0.5662 51.165 -765.29\n",
      "- RC12   1    0.6287 51.228 -764.77\n",
      "- RC104  1    0.6297 51.229 -764.77\n",
      "- RC83   1    0.6351 51.234 -764.72\n",
      "- RC24   1    0.6593 51.258 -764.52\n",
      "- RC26   1    0.6896 51.288 -764.28\n",
      "- RC40   1    0.7144 51.313 -764.07\n",
      "- RC61   1    0.8305 51.429 -763.12\n",
      "- RC87   1    0.9585 51.557 -762.07\n",
      "- RC17   1    0.9928 51.592 -761.79\n",
      "- RC55   1    1.0957 51.695 -760.95\n",
      "- RC48   1    1.1208 51.720 -760.75\n",
      "- RC75   1    1.4890 52.088 -757.76\n",
      "- RC67   1    1.6642 52.263 -756.35\n",
      "- RC47   1    1.7211 52.320 -755.89\n",
      "- RC1    1    2.0313 52.630 -753.40\n",
      "- RC5    1    2.0926 52.692 -752.91\n",
      "- RC22   1    2.1035 52.702 -752.83\n",
      "- RC9    1    2.4389 53.038 -750.16\n",
      "- RC6    1    3.5711 54.170 -741.26\n",
      "- RC42   1    6.3545 56.953 -720.17\n",
      "- RC33   1    7.9116 58.510 -708.81\n",
      "\n",
      "Step:  AIC=-769.11\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC41 + RC48 + \n",
      "    RC55 + RC40 + RC46 + RC45 + RC86 + RC47 + RC73 + RC94 + RC65 + \n",
      "    RC10 + RC61 + RC84 + RC76 + RC66 + RC75 + RC78 + RC83 + RC82 + \n",
      "    RC87 + RC59 + RC89 + RC93 + RC95 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC41   1    0.1050 50.808 -770.24\n",
      "- RC38   1    0.1057 50.808 -770.24\n",
      "- RC49   1    0.1117 50.814 -770.19\n",
      "- RC8    1    0.1186 50.821 -770.13\n",
      "- RC34   1    0.1403 50.843 -769.95\n",
      "- RC78   1    0.1551 50.858 -769.83\n",
      "- RC13   1    0.1766 50.879 -769.65\n",
      "- RC32   1    0.1949 50.898 -769.50\n",
      "- RC95   1    0.1965 50.899 -769.48\n",
      "- RC30   1    0.2034 50.906 -769.43\n",
      "- RC66   1    0.2058 50.908 -769.41\n",
      "- RC46   1    0.2101 50.913 -769.37\n",
      "<none>               50.703 -769.11\n",
      "- RC11   1    0.2421 50.945 -769.11\n",
      "- RC25   1    0.2515 50.954 -769.03\n",
      "- RC45   1    0.2586 50.961 -768.97\n",
      "- RC89   1    0.2740 50.977 -768.84\n",
      "- RC65   1    0.2801 50.983 -768.79\n",
      "- RC73   1    0.2894 50.992 -768.72\n",
      "- RC15   1    0.2962 50.999 -768.66\n",
      "- RC10   1    0.3027 51.005 -768.61\n",
      "- RC103  1    0.3389 51.042 -768.31\n",
      "- RC37   1    0.3419 51.045 -768.28\n",
      "- RC21   1    0.3714 51.074 -768.04\n",
      "- RC63   1    0.3778 51.080 -767.99\n",
      "- RC52   1    0.3855 51.088 -767.92\n",
      "- RC23   1    0.3879 51.091 -767.90\n",
      "- RC19   1    0.3926 51.095 -767.86\n",
      "- RC76   1    0.4678 51.170 -767.25\n",
      "- RC20   1    0.4731 51.176 -767.20\n",
      "- RC29   1    0.4763 51.179 -767.18\n",
      "- RC94   1    0.4831 51.186 -767.12\n",
      "- RC59   1    0.4903 51.193 -767.06\n",
      "- RC86   1    0.4928 51.195 -767.04\n",
      "- RC82   1    0.5050 51.208 -766.94\n",
      "- RC58   1    0.5059 51.208 -766.93\n",
      "- RC84   1    0.5309 51.233 -766.73\n",
      "- RC3    1    0.5402 51.243 -766.65\n",
      "- RC93   1    0.5424 51.245 -766.63\n",
      "- RC53   1    0.5662 51.269 -766.44\n",
      "- RC12   1    0.6287 51.331 -765.92\n",
      "- RC104  1    0.6297 51.332 -765.92\n",
      "- RC83   1    0.6351 51.338 -765.87\n",
      "- RC24   1    0.6593 51.362 -765.67\n",
      "- RC26   1    0.6896 51.392 -765.42\n",
      "- RC40   1    0.7144 51.417 -765.22\n",
      "- RC61   1    0.8305 51.533 -764.27\n",
      "- RC87   1    0.9585 51.661 -763.23\n",
      "- RC17   1    0.9928 51.695 -762.95\n",
      "- RC55   1    1.0957 51.798 -762.11\n",
      "- RC48   1    1.1208 51.823 -761.91\n",
      "- RC75   1    1.4890 52.192 -758.93\n",
      "- RC67   1    1.6642 52.367 -757.52\n",
      "- RC47   1    1.7211 52.424 -757.06\n",
      "- RC1    1    2.0313 52.734 -754.57\n",
      "- RC5    1    2.0926 52.795 -754.08\n",
      "- RC22   1    2.1035 52.806 -754.00\n",
      "- RC9    1    2.4389 53.141 -751.33\n",
      "- RC6    1    3.5711 54.274 -742.46\n",
      "- RC42   1    6.3545 57.057 -721.40\n",
      "- RC33   1    7.9116 58.614 -710.07\n",
      "\n",
      "Step:  AIC=-770.24\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC38 + RC30 + \n",
      "    RC11 + RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + \n",
      "    RC34 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC48 + RC55 + \n",
      "    RC40 + RC46 + RC45 + RC86 + RC47 + RC73 + RC94 + RC65 + RC10 + \n",
      "    RC61 + RC84 + RC76 + RC66 + RC75 + RC78 + RC83 + RC82 + RC87 + \n",
      "    RC59 + RC89 + RC93 + RC95 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC38   1    0.1057 50.913 -771.37\n",
      "- RC49   1    0.1117 50.919 -771.32\n",
      "- RC8    1    0.1186 50.926 -771.26\n",
      "- RC34   1    0.1403 50.948 -771.08\n",
      "- RC78   1    0.1551 50.963 -770.96\n",
      "- RC13   1    0.1766 50.984 -770.78\n",
      "- RC32   1    0.1949 51.003 -770.63\n",
      "- RC95   1    0.1965 51.004 -770.62\n",
      "- RC30   1    0.2034 51.011 -770.56\n",
      "- RC66   1    0.2058 51.013 -770.54\n",
      "- RC46   1    0.2101 51.018 -770.50\n",
      "<none>               50.808 -770.24\n",
      "- RC11   1    0.2421 51.050 -770.24\n",
      "- RC25   1    0.2515 51.059 -770.16\n",
      "- RC45   1    0.2586 51.066 -770.10\n",
      "- RC89   1    0.2740 51.082 -769.98\n",
      "- RC65   1    0.2801 51.088 -769.93\n",
      "- RC73   1    0.2894 51.097 -769.85\n",
      "- RC15   1    0.2962 51.104 -769.79\n",
      "- RC10   1    0.3027 51.110 -769.74\n",
      "- RC103  1    0.3389 51.147 -769.44\n",
      "- RC37   1    0.3419 51.150 -769.42\n",
      "- RC21   1    0.3714 51.179 -769.17\n",
      "- RC63   1    0.3778 51.185 -769.12\n",
      "- RC52   1    0.3855 51.193 -769.06\n",
      "- RC23   1    0.3879 51.196 -769.04\n",
      "- RC19   1    0.3926 51.200 -769.00\n",
      "- RC76   1    0.4678 51.275 -768.38\n",
      "- RC20   1    0.4731 51.281 -768.34\n",
      "- RC29   1    0.4763 51.284 -768.31\n",
      "- RC94   1    0.4831 51.291 -768.26\n",
      "- RC59   1    0.4903 51.298 -768.20\n",
      "- RC86   1    0.4928 51.300 -768.18\n",
      "- RC82   1    0.5050 51.313 -768.08\n",
      "- RC58   1    0.5059 51.314 -768.07\n",
      "- RC84   1    0.5309 51.339 -767.86\n",
      "- RC3    1    0.5402 51.348 -767.79\n",
      "- RC93   1    0.5424 51.350 -767.77\n",
      "- RC53   1    0.5662 51.374 -767.57\n",
      "- RC12   1    0.6287 51.436 -767.06\n",
      "- RC104  1    0.6297 51.437 -767.05\n",
      "- RC83   1    0.6351 51.443 -767.01\n",
      "- RC24   1    0.6593 51.467 -766.81\n",
      "- RC26   1    0.6896 51.497 -766.56\n",
      "- RC40   1    0.7144 51.522 -766.36\n",
      "- RC61   1    0.8305 51.638 -765.41\n",
      "- RC87   1    0.9585 51.766 -764.37\n",
      "- RC17   1    0.9928 51.800 -764.09\n",
      "- RC55   1    1.0957 51.903 -763.26\n",
      "- RC48   1    1.1208 51.928 -763.05\n",
      "- RC75   1    1.4890 52.297 -760.08\n",
      "- RC67   1    1.6642 52.472 -758.67\n",
      "- RC47   1    1.7211 52.529 -758.22\n",
      "- RC1    1    2.0313 52.839 -755.74\n",
      "- RC5    1    2.0926 52.900 -755.25\n",
      "- RC22   1    2.1035 52.911 -755.16\n",
      "- RC9    1    2.4389 53.247 -752.50\n",
      "- RC6    1    3.5711 54.379 -743.64\n",
      "- RC42   1    6.3545 57.162 -722.63\n",
      "- RC33   1    7.9116 58.719 -711.31\n",
      "\n",
      "Step:  AIC=-771.37\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC30 + RC11 + \n",
      "    RC33 + RC49 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + RC34 + \n",
      "    RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + RC48 + RC55 + RC40 + \n",
      "    RC46 + RC45 + RC86 + RC47 + RC73 + RC94 + RC65 + RC10 + RC61 + \n",
      "    RC84 + RC76 + RC66 + RC75 + RC78 + RC83 + RC82 + RC87 + RC59 + \n",
      "    RC89 + RC93 + RC95 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC49   1    0.1117 51.025 -772.44\n",
      "- RC8    1    0.1186 51.032 -772.39\n",
      "- RC34   1    0.1403 51.054 -772.21\n",
      "- RC78   1    0.1551 51.068 -772.09\n",
      "- RC13   1    0.1766 51.090 -771.91\n",
      "- RC32   1    0.1949 51.108 -771.76\n",
      "- RC95   1    0.1965 51.110 -771.74\n",
      "- RC30   1    0.2034 51.117 -771.69\n",
      "- RC66   1    0.2058 51.119 -771.67\n",
      "- RC46   1    0.2101 51.123 -771.63\n",
      "- RC11   1    0.2421 51.155 -771.37\n",
      "<none>               50.913 -771.37\n",
      "- RC25   1    0.2515 51.165 -771.29\n",
      "- RC45   1    0.2586 51.172 -771.23\n",
      "- RC89   1    0.2740 51.187 -771.11\n",
      "- RC65   1    0.2801 51.193 -771.06\n",
      "- RC73   1    0.2894 51.203 -770.98\n",
      "- RC15   1    0.2962 51.210 -770.92\n",
      "- RC10   1    0.3027 51.216 -770.87\n",
      "- RC103  1    0.3389 51.252 -770.57\n",
      "- RC37   1    0.3419 51.255 -770.55\n",
      "- RC21   1    0.3714 51.285 -770.31\n",
      "- RC63   1    0.3778 51.291 -770.25\n",
      "- RC52   1    0.3855 51.299 -770.19\n",
      "- RC23   1    0.3879 51.301 -770.17\n",
      "- RC19   1    0.3926 51.306 -770.13\n",
      "- RC76   1    0.4678 51.381 -769.52\n",
      "- RC20   1    0.4731 51.386 -769.47\n",
      "- RC29   1    0.4763 51.390 -769.45\n",
      "- RC94   1    0.4831 51.396 -769.39\n",
      "- RC59   1    0.4903 51.404 -769.33\n",
      "- RC86   1    0.4928 51.406 -769.31\n",
      "- RC82   1    0.5050 51.418 -769.21\n",
      "- RC58   1    0.5059 51.419 -769.20\n",
      "- RC84   1    0.5309 51.444 -769.00\n",
      "- RC3    1    0.5402 51.454 -768.92\n",
      "- RC93   1    0.5424 51.456 -768.90\n",
      "- RC53   1    0.5662 51.480 -768.71\n",
      "- RC12   1    0.6287 51.542 -768.20\n",
      "- RC104  1    0.6297 51.543 -768.19\n",
      "- RC83   1    0.6351 51.548 -768.15\n",
      "- RC24   1    0.6593 51.573 -767.95\n",
      "- RC26   1    0.6896 51.603 -767.70\n",
      "- RC40   1    0.7144 51.628 -767.50\n",
      "- RC61   1    0.8305 51.744 -766.55\n",
      "- RC87   1    0.9585 51.872 -765.51\n",
      "- RC17   1    0.9928 51.906 -765.24\n",
      "- RC55   1    1.0957 52.009 -764.40\n",
      "- RC48   1    1.1208 52.034 -764.20\n",
      "- RC75   1    1.4890 52.402 -761.23\n",
      "- RC67   1    1.6642 52.578 -759.83\n",
      "- RC47   1    1.7211 52.634 -759.37\n",
      "- RC1    1    2.0313 52.945 -756.90\n",
      "- RC5    1    2.0926 53.006 -756.41\n",
      "- RC22   1    2.1035 53.017 -756.32\n",
      "- RC9    1    2.4389 53.352 -753.67\n",
      "- RC6    1    3.5711 54.484 -744.83\n",
      "- RC42   1    6.3545 57.268 -723.85\n",
      "- RC33   1    7.9116 58.825 -712.56\n",
      "\n",
      "Step:  AIC=-772.44\n",
      "as.matrix(y) ~ RC1 + RC5 + RC8 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC30 + RC11 + \n",
      "    RC33 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + RC34 + RC21 + \n",
      "    RC26 + RC25 + RC52 + RC37 + RC58 + RC48 + RC55 + RC40 + RC46 + \n",
      "    RC45 + RC86 + RC47 + RC73 + RC94 + RC65 + RC10 + RC61 + RC84 + \n",
      "    RC76 + RC66 + RC75 + RC78 + RC83 + RC82 + RC87 + RC59 + RC89 + \n",
      "    RC93 + RC95 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC8    1    0.1186 51.144 -773.47\n",
      "- RC34   1    0.1403 51.165 -773.29\n",
      "- RC78   1    0.1551 51.180 -773.17\n",
      "- RC13   1    0.1766 51.202 -772.99\n",
      "- RC32   1    0.1949 51.220 -772.84\n",
      "- RC95   1    0.1965 51.222 -772.83\n",
      "- RC30   1    0.2034 51.228 -772.77\n",
      "- RC66   1    0.2058 51.231 -772.75\n",
      "- RC46   1    0.2101 51.235 -772.71\n",
      "- RC11   1    0.2421 51.267 -772.45\n",
      "<none>               51.025 -772.44\n",
      "- RC25   1    0.2515 51.277 -772.37\n",
      "- RC45   1    0.2586 51.284 -772.32\n",
      "- RC89   1    0.2740 51.299 -772.19\n",
      "- RC65   1    0.2801 51.305 -772.14\n",
      "- RC73   1    0.2894 51.314 -772.06\n",
      "- RC15   1    0.2962 51.321 -772.01\n",
      "- RC10   1    0.3027 51.328 -771.95\n",
      "- RC103  1    0.3389 51.364 -771.66\n",
      "- RC37   1    0.3419 51.367 -771.63\n",
      "- RC21   1    0.3714 51.396 -771.39\n",
      "- RC63   1    0.3778 51.403 -771.34\n",
      "- RC52   1    0.3855 51.411 -771.27\n",
      "- RC23   1    0.3879 51.413 -771.25\n",
      "- RC19   1    0.3926 51.418 -771.22\n",
      "- RC76   1    0.4678 51.493 -770.60\n",
      "- RC20   1    0.4731 51.498 -770.56\n",
      "- RC29   1    0.4763 51.501 -770.53\n",
      "- RC94   1    0.4831 51.508 -770.48\n",
      "- RC59   1    0.4903 51.515 -770.42\n",
      "- RC86   1    0.4928 51.518 -770.40\n",
      "- RC82   1    0.5050 51.530 -770.30\n",
      "- RC58   1    0.5059 51.531 -770.29\n",
      "- RC84   1    0.5309 51.556 -770.09\n",
      "- RC3    1    0.5402 51.565 -770.01\n",
      "- RC93   1    0.5424 51.567 -769.99\n",
      "- RC53   1    0.5662 51.591 -769.80\n",
      "- RC12   1    0.6287 51.654 -769.29\n",
      "- RC104  1    0.6297 51.655 -769.28\n",
      "- RC83   1    0.6351 51.660 -769.24\n",
      "- RC24   1    0.6593 51.684 -769.04\n",
      "- RC26   1    0.6896 51.715 -768.79\n",
      "- RC40   1    0.7144 51.739 -768.59\n",
      "- RC61   1    0.8305 51.856 -767.65\n",
      "- RC87   1    0.9585 51.984 -766.61\n",
      "- RC17   1    0.9928 52.018 -766.33\n",
      "- RC55   1    1.0957 52.121 -765.50\n",
      "- RC48   1    1.1208 52.146 -765.30\n",
      "- RC75   1    1.4890 52.514 -762.33\n",
      "- RC67   1    1.6642 52.689 -760.93\n",
      "- RC47   1    1.7211 52.746 -760.48\n",
      "- RC1    1    2.0313 53.056 -758.01\n",
      "- RC5    1    2.0926 53.118 -757.52\n",
      "- RC22   1    2.1035 53.129 -757.44\n",
      "- RC9    1    2.4389 53.464 -754.79\n",
      "- RC6    1    3.5711 54.596 -745.96\n",
      "- RC42   1    6.3545 57.380 -725.03\n",
      "- RC33   1    7.9116 58.937 -713.76\n",
      "\n",
      "Step:  AIC=-773.47\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC30 + RC11 + \n",
      "    RC33 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + RC34 + RC21 + \n",
      "    RC26 + RC25 + RC52 + RC37 + RC58 + RC48 + RC55 + RC40 + RC46 + \n",
      "    RC45 + RC86 + RC47 + RC73 + RC94 + RC65 + RC10 + RC61 + RC84 + \n",
      "    RC76 + RC66 + RC75 + RC78 + RC83 + RC82 + RC87 + RC59 + RC89 + \n",
      "    RC93 + RC95 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC34   1    0.1403 51.284 -774.31\n",
      "- RC78   1    0.1551 51.299 -774.19\n",
      "- RC13   1    0.1766 51.320 -774.02\n",
      "- RC32   1    0.1949 51.339 -773.86\n",
      "- RC95   1    0.1965 51.340 -773.85\n",
      "- RC30   1    0.2034 51.347 -773.80\n",
      "- RC66   1    0.2058 51.349 -773.78\n",
      "- RC46   1    0.2101 51.354 -773.74\n",
      "- RC11   1    0.2421 51.386 -773.48\n",
      "<none>               51.144 -773.47\n",
      "- RC25   1    0.2515 51.395 -773.40\n",
      "- RC45   1    0.2586 51.402 -773.34\n",
      "- RC89   1    0.2740 51.418 -773.22\n",
      "- RC65   1    0.2801 51.424 -773.17\n",
      "- RC73   1    0.2894 51.433 -773.09\n",
      "- RC15   1    0.2962 51.440 -773.03\n",
      "- RC10   1    0.3027 51.446 -772.98\n",
      "- RC103  1    0.3389 51.483 -772.69\n",
      "- RC37   1    0.3419 51.486 -772.66\n",
      "- RC21   1    0.3714 51.515 -772.42\n",
      "- RC63   1    0.3778 51.521 -772.37\n",
      "- RC52   1    0.3855 51.529 -772.30\n",
      "- RC23   1    0.3879 51.532 -772.28\n",
      "- RC19   1    0.3926 51.536 -772.25\n",
      "- RC76   1    0.4678 51.611 -771.63\n",
      "- RC20   1    0.4731 51.617 -771.59\n",
      "- RC29   1    0.4763 51.620 -771.56\n",
      "- RC94   1    0.4831 51.627 -771.51\n",
      "- RC59   1    0.4903 51.634 -771.45\n",
      "- RC86   1    0.4928 51.636 -771.43\n",
      "- RC82   1    0.5050 51.649 -771.33\n",
      "- RC58   1    0.5059 51.649 -771.32\n",
      "- RC84   1    0.5309 51.674 -771.12\n",
      "- RC3    1    0.5402 51.684 -771.04\n",
      "- RC93   1    0.5424 51.686 -771.02\n",
      "- RC53   1    0.5662 51.710 -770.83\n",
      "- RC12   1    0.6287 51.772 -770.32\n",
      "- RC104  1    0.6297 51.773 -770.31\n",
      "- RC83   1    0.6351 51.779 -770.27\n",
      "- RC24   1    0.6593 51.803 -770.07\n",
      "- RC26   1    0.6896 51.833 -769.83\n",
      "- RC40   1    0.7144 51.858 -769.63\n",
      "- RC61   1    0.8305 51.974 -768.68\n",
      "- RC87   1    0.9585 52.102 -767.65\n",
      "- RC17   1    0.9928 52.136 -767.37\n",
      "- RC55   1    1.0957 52.239 -766.54\n",
      "- RC48   1    1.1208 52.264 -766.34\n",
      "- RC75   1    1.4890 52.633 -763.38\n",
      "- RC67   1    1.6642 52.808 -761.99\n",
      "- RC47   1    1.7211 52.865 -761.53\n",
      "- RC1    1    2.0313 53.175 -759.07\n",
      "- RC5    1    2.0926 53.236 -758.58\n",
      "- RC22   1    2.1035 53.247 -758.50\n",
      "- RC9    1    2.4389 53.582 -755.85\n",
      "- RC6    1    3.5711 54.715 -747.05\n",
      "- RC42   1    6.3545 57.498 -726.16\n",
      "- RC33   1    7.9116 59.055 -714.91\n",
      "\n",
      "Step:  AIC=-774.31\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC30 + RC11 + \n",
      "    RC33 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + RC21 + RC26 + \n",
      "    RC25 + RC52 + RC37 + RC58 + RC48 + RC55 + RC40 + RC46 + RC45 + \n",
      "    RC86 + RC47 + RC73 + RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + \n",
      "    RC66 + RC75 + RC78 + RC83 + RC82 + RC87 + RC59 + RC89 + RC93 + \n",
      "    RC95 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC78   1    0.1551 51.439 -775.04\n",
      "- RC13   1    0.1766 51.460 -774.87\n",
      "- RC32   1    0.1949 51.479 -774.72\n",
      "- RC95   1    0.1965 51.480 -774.70\n",
      "- RC30   1    0.2034 51.487 -774.65\n",
      "- RC66   1    0.2058 51.490 -774.63\n",
      "- RC46   1    0.2101 51.494 -774.59\n",
      "- RC11   1    0.2421 51.526 -774.33\n",
      "<none>               51.284 -774.31\n",
      "- RC25   1    0.2515 51.535 -774.25\n",
      "- RC45   1    0.2586 51.542 -774.20\n",
      "- RC89   1    0.2740 51.558 -774.07\n",
      "- RC65   1    0.2801 51.564 -774.02\n",
      "- RC73   1    0.2894 51.573 -773.94\n",
      "- RC15   1    0.2962 51.580 -773.89\n",
      "- RC10   1    0.3027 51.587 -773.83\n",
      "- RC103  1    0.3389 51.623 -773.54\n",
      "- RC37   1    0.3419 51.626 -773.52\n",
      "- RC21   1    0.3714 51.655 -773.27\n",
      "- RC63   1    0.3778 51.662 -773.22\n",
      "- RC52   1    0.3855 51.669 -773.16\n",
      "- RC23   1    0.3879 51.672 -773.14\n",
      "- RC19   1    0.3926 51.676 -773.10\n",
      "- RC76   1    0.4678 51.752 -772.49\n",
      "- RC20   1    0.4731 51.757 -772.45\n",
      "- RC29   1    0.4763 51.760 -772.42\n",
      "- RC94   1    0.4831 51.767 -772.37\n",
      "- RC59   1    0.4903 51.774 -772.31\n",
      "- RC86   1    0.4928 51.777 -772.29\n",
      "- RC82   1    0.5050 51.789 -772.19\n",
      "- RC58   1    0.5059 51.790 -772.18\n",
      "- RC84   1    0.5309 51.815 -771.98\n",
      "- RC3    1    0.5402 51.824 -771.90\n",
      "- RC93   1    0.5424 51.826 -771.88\n",
      "- RC53   1    0.5662 51.850 -771.69\n",
      "- RC12   1    0.6287 51.913 -771.18\n",
      "- RC104  1    0.6297 51.914 -771.18\n",
      "- RC83   1    0.6351 51.919 -771.13\n",
      "- RC24   1    0.6593 51.943 -770.94\n",
      "- RC26   1    0.6896 51.973 -770.69\n",
      "- RC40   1    0.7144 51.998 -770.49\n",
      "- RC61   1    0.8305 52.114 -769.55\n",
      "- RC87   1    0.9585 52.242 -768.52\n",
      "- RC17   1    0.9928 52.277 -768.24\n",
      "- RC55   1    1.0957 52.380 -767.41\n",
      "- RC48   1    1.1208 52.405 -767.21\n",
      "- RC75   1    1.4890 52.773 -764.26\n",
      "- RC67   1    1.6642 52.948 -762.87\n",
      "- RC47   1    1.7211 53.005 -762.42\n",
      "- RC1    1    2.0313 53.315 -759.96\n",
      "- RC5    1    2.0926 53.377 -759.48\n",
      "- RC22   1    2.1035 53.387 -759.39\n",
      "- RC9    1    2.4389 53.723 -756.75\n",
      "- RC6    1    3.5711 54.855 -747.97\n",
      "- RC42   1    6.3545 57.638 -727.13\n",
      "- RC33   1    7.9116 59.195 -715.91\n",
      "\n",
      "Step:  AIC=-775.04\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC13 + RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC30 + RC11 + \n",
      "    RC33 + RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + RC21 + RC26 + \n",
      "    RC25 + RC52 + RC37 + RC58 + RC48 + RC55 + RC40 + RC46 + RC45 + \n",
      "    RC86 + RC47 + RC73 + RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + \n",
      "    RC66 + RC75 + RC83 + RC82 + RC87 + RC59 + RC89 + RC93 + RC95 + \n",
      "    RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC13   1    0.1766 51.616 -775.60\n",
      "- RC32   1    0.1949 51.634 -775.45\n",
      "- RC95   1    0.1965 51.636 -775.44\n",
      "- RC30   1    0.2034 51.642 -775.38\n",
      "- RC66   1    0.2058 51.645 -775.36\n",
      "- RC46   1    0.2101 51.649 -775.32\n",
      "- RC11   1    0.2421 51.681 -775.06\n",
      "<none>               51.439 -775.04\n",
      "- RC25   1    0.2515 51.691 -774.99\n",
      "- RC45   1    0.2586 51.698 -774.93\n",
      "- RC89   1    0.2740 51.713 -774.80\n",
      "- RC65   1    0.2801 51.719 -774.75\n",
      "- RC73   1    0.2894 51.728 -774.68\n",
      "- RC15   1    0.2962 51.735 -774.62\n",
      "- RC10   1    0.3027 51.742 -774.57\n",
      "- RC103  1    0.3389 51.778 -774.28\n",
      "- RC37   1    0.3419 51.781 -774.25\n",
      "- RC21   1    0.3714 51.810 -774.01\n",
      "- RC63   1    0.3778 51.817 -773.96\n",
      "- RC52   1    0.3855 51.825 -773.90\n",
      "- RC23   1    0.3879 51.827 -773.88\n",
      "- RC19   1    0.3926 51.832 -773.84\n",
      "- RC76   1    0.4678 51.907 -773.23\n",
      "- RC20   1    0.4731 51.912 -773.19\n",
      "- RC29   1    0.4763 51.915 -773.16\n",
      "- RC94   1    0.4831 51.922 -773.11\n",
      "- RC59   1    0.4903 51.929 -773.05\n",
      "- RC86   1    0.4928 51.932 -773.03\n",
      "- RC82   1    0.5050 51.944 -772.93\n",
      "- RC58   1    0.5059 51.945 -772.92\n",
      "- RC84   1    0.5309 51.970 -772.72\n",
      "- RC3    1    0.5402 51.979 -772.64\n",
      "- RC93   1    0.5424 51.981 -772.63\n",
      "- RC53   1    0.5662 52.005 -772.43\n",
      "- RC12   1    0.6287 52.068 -771.93\n",
      "- RC104  1    0.6297 52.069 -771.92\n",
      "- RC83   1    0.6351 52.074 -771.87\n",
      "- RC24   1    0.6593 52.098 -771.68\n",
      "- RC26   1    0.6896 52.129 -771.43\n",
      "- RC40   1    0.7144 52.153 -771.23\n",
      "- RC61   1    0.8305 52.270 -770.30\n",
      "- RC87   1    0.9585 52.398 -769.27\n",
      "- RC17   1    0.9928 52.432 -768.99\n",
      "- RC55   1    1.0957 52.535 -768.17\n",
      "- RC48   1    1.1208 52.560 -767.97\n",
      "- RC75   1    1.4890 52.928 -765.03\n",
      "- RC67   1    1.6642 53.103 -763.64\n",
      "- RC47   1    1.7211 53.160 -763.19\n",
      "- RC1    1    2.0313 53.470 -760.74\n",
      "- RC5    1    2.0926 53.532 -760.25\n",
      "- RC22   1    2.1035 53.543 -760.17\n",
      "- RC9    1    2.4389 53.878 -757.54\n",
      "- RC6    1    3.5711 55.010 -748.78\n",
      "- RC42   1    6.3545 57.794 -728.00\n",
      "- RC33   1    7.9116 59.351 -716.81\n",
      "\n",
      "Step:  AIC=-775.6\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC30 + RC11 + RC33 + \n",
      "    RC22 + RC42 + RC3 + RC24 + RC32 + RC29 + RC21 + RC26 + RC25 + \n",
      "    RC52 + RC37 + RC58 + RC48 + RC55 + RC40 + RC46 + RC45 + RC86 + \n",
      "    RC47 + RC73 + RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + RC66 + \n",
      "    RC75 + RC83 + RC82 + RC87 + RC59 + RC89 + RC93 + RC95 + RC103 + \n",
      "    RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC32   1    0.1949 51.810 -776.01\n",
      "- RC95   1    0.1965 51.812 -776.00\n",
      "- RC30   1    0.2034 51.819 -775.94\n",
      "- RC66   1    0.2058 51.821 -775.92\n",
      "- RC46   1    0.2101 51.826 -775.89\n",
      "- RC11   1    0.2421 51.858 -775.63\n",
      "<none>               51.616 -775.60\n",
      "- RC25   1    0.2515 51.867 -775.55\n",
      "- RC45   1    0.2586 51.874 -775.50\n",
      "- RC89   1    0.2740 51.890 -775.37\n",
      "- RC65   1    0.2801 51.896 -775.32\n",
      "- RC73   1    0.2894 51.905 -775.24\n",
      "- RC15   1    0.2962 51.912 -775.19\n",
      "- RC10   1    0.3027 51.918 -775.14\n",
      "- RC103  1    0.3389 51.955 -774.84\n",
      "- RC37   1    0.3419 51.957 -774.82\n",
      "- RC21   1    0.3714 51.987 -774.58\n",
      "- RC63   1    0.3778 51.993 -774.53\n",
      "- RC52   1    0.3855 52.001 -774.47\n",
      "- RC23   1    0.3879 52.004 -774.45\n",
      "- RC19   1    0.3926 52.008 -774.41\n",
      "- RC76   1    0.4678 52.083 -773.80\n",
      "- RC20   1    0.4731 52.089 -773.76\n",
      "- RC29   1    0.4763 52.092 -773.73\n",
      "- RC94   1    0.4831 52.099 -773.68\n",
      "- RC59   1    0.4903 52.106 -773.62\n",
      "- RC86   1    0.4928 52.108 -773.60\n",
      "- RC82   1    0.5050 52.121 -773.50\n",
      "- RC58   1    0.5059 52.121 -773.49\n",
      "- RC84   1    0.5309 52.146 -773.29\n",
      "- RC3    1    0.5402 52.156 -773.22\n",
      "- RC93   1    0.5424 52.158 -773.20\n",
      "- RC53   1    0.5662 52.182 -773.01\n",
      "- RC12   1    0.6287 52.244 -772.50\n",
      "- RC104  1    0.6297 52.245 -772.49\n",
      "- RC83   1    0.6351 52.251 -772.45\n",
      "- RC24   1    0.6593 52.275 -772.26\n",
      "- RC26   1    0.6896 52.305 -772.01\n",
      "- RC40   1    0.7144 52.330 -771.81\n",
      "- RC61   1    0.8305 52.446 -770.88\n",
      "- RC87   1    0.9585 52.574 -769.85\n",
      "- RC17   1    0.9928 52.608 -769.58\n",
      "- RC55   1    1.0957 52.711 -768.75\n",
      "- RC48   1    1.1208 52.736 -768.55\n",
      "- RC75   1    1.4890 53.105 -765.63\n",
      "- RC67   1    1.6642 53.280 -764.24\n",
      "- RC47   1    1.7211 53.337 -763.79\n",
      "- RC1    1    2.0313 53.647 -761.35\n",
      "- RC5    1    2.0926 53.708 -760.87\n",
      "- RC22   1    2.1035 53.719 -760.78\n",
      "- RC9    1    2.4389 54.054 -758.16\n",
      "- RC6    1    3.5711 55.187 -749.43\n",
      "- RC42   1    6.3545 57.970 -728.72\n",
      "- RC33   1    7.9116 59.527 -717.56\n",
      "\n",
      "Step:  AIC=-776.01\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC30 + RC11 + RC33 + \n",
      "    RC22 + RC42 + RC3 + RC24 + RC29 + RC21 + RC26 + RC25 + RC52 + \n",
      "    RC37 + RC58 + RC48 + RC55 + RC40 + RC46 + RC45 + RC86 + RC47 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + RC66 + RC75 + \n",
      "    RC83 + RC82 + RC87 + RC59 + RC89 + RC93 + RC95 + RC103 + \n",
      "    RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC95   1    0.1965 52.007 -776.42\n",
      "- RC30   1    0.2034 52.014 -776.36\n",
      "- RC66   1    0.2058 52.016 -776.34\n",
      "- RC46   1    0.2101 52.021 -776.31\n",
      "- RC11   1    0.2421 52.053 -776.05\n",
      "<none>               51.810 -776.01\n",
      "- RC25   1    0.2515 52.062 -775.97\n",
      "- RC45   1    0.2586 52.069 -775.92\n",
      "- RC89   1    0.2740 52.085 -775.79\n",
      "- RC65   1    0.2801 52.091 -775.74\n",
      "- RC73   1    0.2894 52.100 -775.67\n",
      "- RC15   1    0.2962 52.107 -775.61\n",
      "- RC10   1    0.3027 52.113 -775.56\n",
      "- RC103  1    0.3389 52.149 -775.27\n",
      "- RC37   1    0.3419 52.152 -775.24\n",
      "- RC21   1    0.3714 52.182 -775.00\n",
      "- RC63   1    0.3778 52.188 -774.95\n",
      "- RC52   1    0.3855 52.196 -774.89\n",
      "- RC23   1    0.3879 52.198 -774.87\n",
      "- RC19   1    0.3926 52.203 -774.83\n",
      "- RC76   1    0.4678 52.278 -774.23\n",
      "- RC20   1    0.4731 52.284 -774.18\n",
      "- RC29   1    0.4763 52.287 -774.16\n",
      "- RC94   1    0.4831 52.294 -774.10\n",
      "- RC59   1    0.4903 52.301 -774.05\n",
      "- RC86   1    0.4928 52.303 -774.03\n",
      "- RC82   1    0.5050 52.316 -773.93\n",
      "- RC58   1    0.5059 52.316 -773.92\n",
      "- RC84   1    0.5309 52.341 -773.72\n",
      "- RC3    1    0.5402 52.351 -773.64\n",
      "- RC93   1    0.5424 52.353 -773.63\n",
      "- RC53   1    0.5662 52.377 -773.44\n",
      "- RC12   1    0.6287 52.439 -772.93\n",
      "- RC104  1    0.6297 52.440 -772.93\n",
      "- RC83   1    0.6351 52.446 -772.88\n",
      "- RC24   1    0.6593 52.470 -772.69\n",
      "- RC26   1    0.6896 52.500 -772.45\n",
      "- RC40   1    0.7144 52.525 -772.25\n",
      "- RC61   1    0.8305 52.641 -771.32\n",
      "- RC87   1    0.9585 52.769 -770.29\n",
      "- RC17   1    0.9928 52.803 -770.02\n",
      "- RC55   1    1.0957 52.906 -769.20\n",
      "- RC48   1    1.1208 52.931 -769.00\n",
      "- RC75   1    1.4890 53.300 -766.08\n",
      "- RC67   1    1.6642 53.475 -764.70\n",
      "- RC47   1    1.7211 53.532 -764.25\n",
      "- RC1    1    2.0313 53.842 -761.82\n",
      "- RC5    1    2.0926 53.903 -761.34\n",
      "- RC22   1    2.1035 53.914 -761.26\n",
      "- RC9    1    2.4389 54.249 -758.65\n",
      "- RC6    1    3.5711 55.382 -749.95\n",
      "- RC42   1    6.3545 58.165 -729.31\n",
      "- RC33   1    7.9116 59.722 -718.18\n",
      "\n",
      "Step:  AIC=-776.42\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC30 + RC11 + RC33 + \n",
      "    RC22 + RC42 + RC3 + RC24 + RC29 + RC21 + RC26 + RC25 + RC52 + \n",
      "    RC37 + RC58 + RC48 + RC55 + RC40 + RC46 + RC45 + RC86 + RC47 + \n",
      "    RC73 + RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + RC66 + RC75 + \n",
      "    RC83 + RC82 + RC87 + RC59 + RC89 + RC93 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC30   1    0.2034 52.210 -776.78\n",
      "- RC66   1    0.2058 52.213 -776.76\n",
      "- RC46   1    0.2101 52.217 -776.72\n",
      "- RC11   1    0.2421 52.249 -776.46\n",
      "<none>               52.007 -776.42\n",
      "- RC25   1    0.2515 52.259 -776.39\n",
      "- RC45   1    0.2586 52.266 -776.33\n",
      "- RC89   1    0.2740 52.281 -776.21\n",
      "- RC65   1    0.2801 52.287 -776.16\n",
      "- RC73   1    0.2894 52.296 -776.08\n",
      "- RC15   1    0.2962 52.303 -776.03\n",
      "- RC10   1    0.3027 52.310 -775.97\n",
      "- RC103  1    0.3389 52.346 -775.68\n",
      "- RC37   1    0.3419 52.349 -775.66\n",
      "- RC21   1    0.3714 52.378 -775.42\n",
      "- RC63   1    0.3778 52.385 -775.37\n",
      "- RC52   1    0.3855 52.393 -775.31\n",
      "- RC23   1    0.3879 52.395 -775.29\n",
      "- RC19   1    0.3926 52.400 -775.25\n",
      "- RC76   1    0.4678 52.475 -774.65\n",
      "- RC20   1    0.4731 52.480 -774.61\n",
      "- RC29   1    0.4763 52.483 -774.58\n",
      "- RC94   1    0.4831 52.490 -774.53\n",
      "- RC59   1    0.4903 52.497 -774.47\n",
      "- RC86   1    0.4928 52.500 -774.45\n",
      "- RC82   1    0.5050 52.512 -774.35\n",
      "- RC58   1    0.5059 52.513 -774.34\n",
      "- RC84   1    0.5309 52.538 -774.14\n",
      "- RC3    1    0.5402 52.547 -774.07\n",
      "- RC93   1    0.5424 52.549 -774.05\n",
      "- RC53   1    0.5662 52.573 -773.86\n",
      "- RC12   1    0.6287 52.636 -773.36\n",
      "- RC104  1    0.6297 52.637 -773.35\n",
      "- RC83   1    0.6351 52.642 -773.31\n",
      "- RC24   1    0.6593 52.666 -773.11\n",
      "- RC26   1    0.6896 52.697 -772.87\n",
      "- RC40   1    0.7144 52.721 -772.67\n",
      "- RC61   1    0.8305 52.838 -771.75\n",
      "- RC87   1    0.9585 52.966 -770.73\n",
      "- RC17   1    0.9928 53.000 -770.46\n",
      "- RC55   1    1.0957 53.103 -769.64\n",
      "- RC48   1    1.1208 53.128 -769.44\n",
      "- RC75   1    1.4890 53.496 -766.53\n",
      "- RC67   1    1.6642 53.671 -765.16\n",
      "- RC47   1    1.7211 53.728 -764.71\n",
      "- RC1    1    2.0313 54.038 -762.29\n",
      "- RC5    1    2.0926 54.100 -761.81\n",
      "- RC22   1    2.1035 54.111 -761.73\n",
      "- RC9    1    2.4389 54.446 -759.12\n",
      "- RC6    1    3.5711 55.578 -750.46\n",
      "- RC42   1    6.3545 58.362 -729.89\n",
      "- RC33   1    7.9116 59.919 -718.80\n",
      "\n",
      "Step:  AIC=-776.78\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC11 + RC33 + RC22 + \n",
      "    RC42 + RC3 + RC24 + RC29 + RC21 + RC26 + RC25 + RC52 + RC37 + \n",
      "    RC58 + RC48 + RC55 + RC40 + RC46 + RC45 + RC86 + RC47 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + RC66 + RC75 + RC83 + \n",
      "    RC82 + RC87 + RC59 + RC89 + RC93 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC66   1    0.2058 52.416 -777.12\n",
      "- RC46   1    0.2101 52.420 -777.08\n",
      "- RC11   1    0.2421 52.452 -776.83\n",
      "<none>               52.210 -776.78\n",
      "- RC25   1    0.2515 52.462 -776.75\n",
      "- RC45   1    0.2586 52.469 -776.70\n",
      "- RC89   1    0.2740 52.484 -776.57\n",
      "- RC65   1    0.2801 52.490 -776.52\n",
      "- RC73   1    0.2894 52.500 -776.45\n",
      "- RC15   1    0.2962 52.507 -776.39\n",
      "- RC10   1    0.3027 52.513 -776.34\n",
      "- RC103  1    0.3389 52.549 -776.05\n",
      "- RC37   1    0.3419 52.552 -776.03\n",
      "- RC21   1    0.3714 52.582 -775.79\n",
      "- RC63   1    0.3778 52.588 -775.74\n",
      "- RC52   1    0.3855 52.596 -775.68\n",
      "- RC23   1    0.3879 52.598 -775.66\n",
      "- RC19   1    0.3926 52.603 -775.62\n",
      "- RC76   1    0.4678 52.678 -775.02\n",
      "- RC20   1    0.4731 52.683 -774.98\n",
      "- RC29   1    0.4763 52.687 -774.95\n",
      "- RC94   1    0.4831 52.693 -774.90\n",
      "- RC59   1    0.4903 52.701 -774.84\n",
      "- RC86   1    0.4928 52.703 -774.82\n",
      "- RC82   1    0.5050 52.715 -774.72\n",
      "- RC58   1    0.5059 52.716 -774.72\n",
      "- RC84   1    0.5309 52.741 -774.52\n",
      "- RC3    1    0.5402 52.751 -774.44\n",
      "- RC93   1    0.5424 52.753 -774.42\n",
      "- RC53   1    0.5662 52.777 -774.23\n",
      "- RC12   1    0.6287 52.839 -773.74\n",
      "- RC104  1    0.6297 52.840 -773.73\n",
      "- RC83   1    0.6351 52.846 -773.68\n",
      "- RC24   1    0.6593 52.870 -773.49\n",
      "- RC26   1    0.6896 52.900 -773.25\n",
      "- RC40   1    0.7144 52.925 -773.05\n",
      "- RC61   1    0.8305 53.041 -772.13\n",
      "- RC87   1    0.9585 53.169 -771.12\n",
      "- RC17   1    0.9928 53.203 -770.84\n",
      "- RC55   1    1.0957 53.306 -770.03\n",
      "- RC48   1    1.1208 53.331 -769.83\n",
      "- RC75   1    1.4890 53.699 -766.94\n",
      "- RC67   1    1.6642 53.875 -765.57\n",
      "- RC47   1    1.7211 53.931 -765.12\n",
      "- RC1    1    2.0313 54.242 -762.71\n",
      "- RC5    1    2.0926 54.303 -762.23\n",
      "- RC22   1    2.1035 54.314 -762.15\n",
      "- RC9    1    2.4389 54.649 -759.55\n",
      "- RC6    1    3.5711 55.781 -750.92\n",
      "- RC42   1    6.3545 58.565 -730.42\n",
      "- RC33   1    7.9116 60.122 -719.37\n",
      "\n",
      "Step:  AIC=-777.12\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC11 + RC33 + RC22 + \n",
      "    RC42 + RC3 + RC24 + RC29 + RC21 + RC26 + RC25 + RC52 + RC37 + \n",
      "    RC58 + RC48 + RC55 + RC40 + RC46 + RC45 + RC86 + RC47 + RC73 + \n",
      "    RC94 + RC65 + RC10 + RC61 + RC84 + RC76 + RC75 + RC83 + RC82 + \n",
      "    RC87 + RC59 + RC89 + RC93 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC46   1    0.2101 52.626 -777.43\n",
      "- RC11   1    0.2421 52.658 -777.18\n",
      "<none>               52.416 -777.12\n",
      "- RC25   1    0.2515 52.668 -777.10\n",
      "- RC45   1    0.2586 52.675 -777.05\n",
      "- RC89   1    0.2740 52.690 -776.92\n",
      "- RC65   1    0.2801 52.696 -776.88\n",
      "- RC73   1    0.2894 52.706 -776.80\n",
      "- RC15   1    0.2962 52.712 -776.75\n",
      "- RC10   1    0.3027 52.719 -776.69\n",
      "- RC103  1    0.3389 52.755 -776.41\n",
      "- RC37   1    0.3419 52.758 -776.38\n",
      "- RC21   1    0.3714 52.788 -776.15\n",
      "- RC63   1    0.3778 52.794 -776.10\n",
      "- RC52   1    0.3855 52.802 -776.03\n",
      "- RC23   1    0.3879 52.804 -776.01\n",
      "- RC19   1    0.3926 52.809 -775.98\n",
      "- RC76   1    0.4678 52.884 -775.38\n",
      "- RC20   1    0.4731 52.889 -775.34\n",
      "- RC29   1    0.4763 52.892 -775.31\n",
      "- RC94   1    0.4831 52.899 -775.26\n",
      "- RC59   1    0.4903 52.906 -775.20\n",
      "- RC86   1    0.4928 52.909 -775.18\n",
      "- RC82   1    0.5050 52.921 -775.08\n",
      "- RC58   1    0.5059 52.922 -775.08\n",
      "- RC84   1    0.5309 52.947 -774.88\n",
      "- RC3    1    0.5402 52.956 -774.80\n",
      "- RC93   1    0.5424 52.959 -774.78\n",
      "- RC53   1    0.5662 52.982 -774.60\n",
      "- RC12   1    0.6287 53.045 -774.10\n",
      "- RC104  1    0.6297 53.046 -774.09\n",
      "- RC83   1    0.6351 53.051 -774.05\n",
      "- RC24   1    0.6593 53.075 -773.86\n",
      "- RC26   1    0.6896 53.106 -773.62\n",
      "- RC40   1    0.7144 53.131 -773.42\n",
      "- RC61   1    0.8305 53.247 -772.50\n",
      "- RC87   1    0.9585 53.375 -771.49\n",
      "- RC17   1    0.9928 53.409 -771.22\n",
      "- RC55   1    1.0957 53.512 -770.41\n",
      "- RC48   1    1.1208 53.537 -770.21\n",
      "- RC75   1    1.4890 53.905 -767.33\n",
      "- RC67   1    1.6642 54.080 -765.96\n",
      "- RC47   1    1.7211 54.137 -765.52\n",
      "- RC1    1    2.0313 54.447 -763.11\n",
      "- RC5    1    2.0926 54.509 -762.64\n",
      "- RC22   1    2.1035 54.520 -762.55\n",
      "- RC9    1    2.4389 54.855 -759.97\n",
      "- RC6    1    3.5711 55.987 -751.37\n",
      "- RC42   1    6.3545 58.771 -730.94\n",
      "- RC33   1    7.9116 60.328 -719.94\n",
      "\n",
      "Step:  AIC=-777.43\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC11 + RC33 + RC22 + \n",
      "    RC42 + RC3 + RC24 + RC29 + RC21 + RC26 + RC25 + RC52 + RC37 + \n",
      "    RC58 + RC48 + RC55 + RC40 + RC45 + RC86 + RC47 + RC73 + RC94 + \n",
      "    RC65 + RC10 + RC61 + RC84 + RC76 + RC75 + RC83 + RC82 + RC87 + \n",
      "    RC59 + RC89 + RC93 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC11   1    0.2421 52.868 -777.50\n",
      "<none>               52.626 -777.43\n",
      "- RC25   1    0.2515 52.878 -777.43\n",
      "- RC45   1    0.2586 52.885 -777.37\n",
      "- RC89   1    0.2740 52.900 -777.25\n",
      "- RC65   1    0.2801 52.906 -777.20\n",
      "- RC73   1    0.2894 52.916 -777.13\n",
      "- RC15   1    0.2962 52.922 -777.07\n",
      "- RC10   1    0.3027 52.929 -777.02\n",
      "- RC103  1    0.3389 52.965 -776.73\n",
      "- RC37   1    0.3419 52.968 -776.71\n",
      "- RC21   1    0.3714 52.998 -776.47\n",
      "- RC63   1    0.3778 53.004 -776.42\n",
      "- RC52   1    0.3855 53.012 -776.36\n",
      "- RC23   1    0.3879 53.014 -776.34\n",
      "- RC19   1    0.3926 53.019 -776.31\n",
      "- RC76   1    0.4678 53.094 -775.71\n",
      "- RC20   1    0.4731 53.099 -775.67\n",
      "- RC29   1    0.4763 53.103 -775.64\n",
      "- RC94   1    0.4831 53.109 -775.59\n",
      "- RC59   1    0.4903 53.117 -775.53\n",
      "- RC86   1    0.4928 53.119 -775.51\n",
      "- RC82   1    0.5050 53.131 -775.41\n",
      "- RC58   1    0.5059 53.132 -775.41\n",
      "- RC84   1    0.5309 53.157 -775.21\n",
      "- RC3    1    0.5402 53.167 -775.13\n",
      "- RC93   1    0.5424 53.169 -775.12\n",
      "- RC53   1    0.5662 53.193 -774.93\n",
      "- RC12   1    0.6287 53.255 -774.43\n",
      "- RC104  1    0.6297 53.256 -774.43\n",
      "- RC83   1    0.6351 53.261 -774.38\n",
      "- RC24   1    0.6593 53.286 -774.19\n",
      "- RC26   1    0.6896 53.316 -773.95\n",
      "- RC40   1    0.7144 53.341 -773.76\n",
      "- RC61   1    0.8305 53.457 -772.84\n",
      "- RC87   1    0.9585 53.585 -771.84\n",
      "- RC17   1    0.9928 53.619 -771.57\n",
      "- RC55   1    1.0957 53.722 -770.76\n",
      "- RC48   1    1.1208 53.747 -770.56\n",
      "- RC75   1    1.4890 54.115 -767.69\n",
      "- RC67   1    1.6642 54.290 -766.33\n",
      "- RC47   1    1.7211 54.347 -765.89\n",
      "- RC1    1    2.0313 54.658 -763.49\n",
      "- RC5    1    2.0926 54.719 -763.02\n",
      "- RC22   1    2.1035 54.730 -762.93\n",
      "- RC9    1    2.4389 55.065 -760.36\n",
      "- RC6    1    3.5711 56.197 -751.79\n",
      "- RC42   1    6.3545 58.981 -731.44\n",
      "- RC33   1    7.9116 60.538 -720.47\n",
      "\n",
      "Step:  AIC=-777.5\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC33 + RC22 + RC42 + \n",
      "    RC3 + RC24 + RC29 + RC21 + RC26 + RC25 + RC52 + RC37 + RC58 + \n",
      "    RC48 + RC55 + RC40 + RC45 + RC86 + RC47 + RC73 + RC94 + RC65 + \n",
      "    RC10 + RC61 + RC84 + RC76 + RC75 + RC83 + RC82 + RC87 + RC59 + \n",
      "    RC89 + RC93 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "- RC25   1    0.2515 53.120 -777.50\n",
      "<none>               52.868 -777.50\n",
      "- RC45   1    0.2586 53.127 -777.45\n",
      "- RC89   1    0.2740 53.142 -777.33\n",
      "- RC65   1    0.2801 53.148 -777.28\n",
      "- RC73   1    0.2894 53.158 -777.20\n",
      "- RC15   1    0.2962 53.165 -777.15\n",
      "- RC10   1    0.3027 53.171 -777.10\n",
      "- RC103  1    0.3389 53.207 -776.81\n",
      "- RC37   1    0.3419 53.210 -776.79\n",
      "- RC21   1    0.3714 53.240 -776.56\n",
      "- RC63   1    0.3778 53.246 -776.51\n",
      "- RC52   1    0.3855 53.254 -776.44\n",
      "- RC23   1    0.3879 53.256 -776.42\n",
      "- RC19   1    0.3926 53.261 -776.39\n",
      "- RC76   1    0.4678 53.336 -775.79\n",
      "- RC20   1    0.4731 53.341 -775.75\n",
      "- RC29   1    0.4763 53.345 -775.73\n",
      "- RC94   1    0.4831 53.351 -775.67\n",
      "- RC59   1    0.4903 53.359 -775.62\n",
      "- RC86   1    0.4928 53.361 -775.60\n",
      "- RC82   1    0.5050 53.373 -775.50\n",
      "- RC58   1    0.5059 53.374 -775.49\n",
      "- RC84   1    0.5309 53.399 -775.30\n",
      "- RC3    1    0.5402 53.409 -775.22\n",
      "- RC93   1    0.5424 53.411 -775.21\n",
      "- RC53   1    0.5662 53.435 -775.02\n",
      "- RC12   1    0.6287 53.497 -774.53\n",
      "- RC104  1    0.6297 53.498 -774.52\n",
      "- RC83   1    0.6351 53.503 -774.48\n",
      "- RC24   1    0.6593 53.528 -774.29\n",
      "- RC26   1    0.6896 53.558 -774.05\n",
      "- RC40   1    0.7144 53.583 -773.85\n",
      "- RC61   1    0.8305 53.699 -772.94\n",
      "- RC87   1    0.9585 53.827 -771.94\n",
      "- RC17   1    0.9928 53.861 -771.67\n",
      "- RC55   1    1.0957 53.964 -770.87\n",
      "- RC48   1    1.1208 53.989 -770.67\n",
      "- RC75   1    1.4890 54.357 -767.81\n",
      "- RC67   1    1.6642 54.533 -766.45\n",
      "- RC47   1    1.7211 54.589 -766.02\n",
      "- RC1    1    2.0313 54.900 -763.63\n",
      "- RC5    1    2.0926 54.961 -763.16\n",
      "- RC22   1    2.1035 54.972 -763.08\n",
      "- RC9    1    2.4389 55.307 -760.52\n",
      "- RC6    1    3.5711 56.439 -751.98\n",
      "- RC42   1    6.3545 59.223 -731.72\n",
      "- RC33   1    7.9116 60.780 -720.79\n",
      "\n",
      "Step:  AIC=-777.5\n",
      "as.matrix(y) ~ RC1 + RC5 + RC12 + RC63 + RC9 + RC19 + RC67 + \n",
      "    RC20 + RC6 + RC23 + RC53 + RC17 + RC15 + RC33 + RC22 + RC42 + \n",
      "    RC3 + RC24 + RC29 + RC21 + RC26 + RC52 + RC37 + RC58 + RC48 + \n",
      "    RC55 + RC40 + RC45 + RC86 + RC47 + RC73 + RC94 + RC65 + RC10 + \n",
      "    RC61 + RC84 + RC76 + RC75 + RC83 + RC82 + RC87 + RC59 + RC89 + \n",
      "    RC93 + RC103 + RC104\n",
      "\n",
      "        Df Sum of Sq    RSS     AIC\n",
      "<none>               53.120 -777.50\n",
      "- RC45   1    0.2586 53.378 -777.46\n",
      "- RC89   1    0.2740 53.394 -777.34\n",
      "- RC65   1    0.2801 53.400 -777.29\n",
      "- RC73   1    0.2894 53.409 -777.22\n",
      "- RC15   1    0.2962 53.416 -777.16\n",
      "- RC10   1    0.3027 53.423 -777.11\n",
      "- RC103  1    0.3389 53.459 -776.83\n",
      "- RC37   1    0.3419 53.462 -776.80\n",
      "- RC21   1    0.3714 53.491 -776.57\n",
      "- RC63   1    0.3778 53.498 -776.52\n",
      "- RC52   1    0.3855 53.505 -776.46\n",
      "- RC23   1    0.3879 53.508 -776.44\n",
      "- RC19   1    0.3926 53.512 -776.40\n",
      "- RC76   1    0.4678 53.588 -775.81\n",
      "- RC20   1    0.4731 53.593 -775.77\n",
      "- RC29   1    0.4763 53.596 -775.75\n",
      "- RC94   1    0.4831 53.603 -775.69\n",
      "- RC59   1    0.4903 53.610 -775.64\n",
      "- RC86   1    0.4928 53.613 -775.62\n",
      "- RC82   1    0.5050 53.625 -775.52\n",
      "- RC58   1    0.5059 53.626 -775.51\n",
      "- RC84   1    0.5309 53.651 -775.32\n",
      "- RC3    1    0.5402 53.660 -775.24\n",
      "- RC93   1    0.5424 53.662 -775.23\n",
      "- RC53   1    0.5662 53.686 -775.04\n",
      "- RC12   1    0.6287 53.749 -774.55\n",
      "- RC104  1    0.6297 53.750 -774.54\n",
      "- RC83   1    0.6351 53.755 -774.50\n",
      "- RC24   1    0.6593 53.779 -774.31\n",
      "- RC26   1    0.6896 53.809 -774.07\n",
      "- RC40   1    0.7144 53.834 -773.88\n",
      "- RC61   1    0.8305 53.950 -772.97\n",
      "- RC87   1    0.9585 54.078 -771.98\n",
      "- RC17   1    0.9928 54.113 -771.71\n",
      "- RC55   1    1.0957 54.216 -770.91\n",
      "- RC48   1    1.1208 54.241 -770.71\n",
      "- RC75   1    1.4890 54.609 -767.87\n",
      "- RC67   1    1.6642 54.784 -766.52\n",
      "- RC47   1    1.7211 54.841 -766.08\n",
      "- RC1    1    2.0313 55.151 -763.71\n",
      "- RC5    1    2.0926 55.213 -763.24\n",
      "- RC22   1    2.1035 55.223 -763.15\n",
      "- RC9    1    2.4389 55.559 -760.61\n",
      "- RC6    1    3.5711 56.691 -752.11\n",
      "- RC42   1    6.3545 59.474 -731.93\n",
      "- RC33   1    7.9116 61.031 -721.05\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "             Df Sum Sq Mean Sq F value   Pr(>F)    \n",
       "RC1           1   2.03   2.031  14.302 0.000181 ***\n",
       "RC5           1   2.09   2.093  14.734 0.000145 ***\n",
       "RC12          1   0.63   0.629   4.427 0.036051 *  \n",
       "RC63          1   0.38   0.378   2.660 0.103754    \n",
       "RC9           1   2.44   2.439  17.171 4.23e-05 ***\n",
       "RC19          1   0.39   0.393   2.764 0.097253 .  \n",
       "RC67          1   1.66   1.664  11.717 0.000688 ***\n",
       "RC20          1   0.47   0.473   3.331 0.068778 .  \n",
       "RC6           1   3.57   3.571  25.143 8.24e-07 ***\n",
       "RC23          1   0.39   0.388   2.731 0.099237 .  \n",
       "RC53          1   0.57   0.566   3.987 0.046585 *  \n",
       "RC17          1   0.99   0.993   6.990 0.008541 ** \n",
       "RC15          1   0.30   0.296   2.085 0.149552    \n",
       "RC33          1   7.91   7.912  55.703 5.97e-13 ***\n",
       "RC22          1   2.10   2.104  14.810 0.000140 ***\n",
       "RC42          1   6.35   6.355  44.740 8.22e-11 ***\n",
       "RC3           1   0.54   0.540   3.804 0.051886 .  \n",
       "RC24          1   0.66   0.659   4.642 0.031842 *  \n",
       "RC29          1   0.48   0.476   3.354 0.067850 .  \n",
       "RC21          1   0.37   0.371   2.615 0.106707    \n",
       "RC26          1   0.69   0.690   4.855 0.028173 *  \n",
       "RC52          1   0.39   0.386   2.714 0.100281    \n",
       "RC37          1   0.34   0.342   2.407 0.121615    \n",
       "RC58          1   0.51   0.506   3.562 0.059904 .  \n",
       "RC48          1   1.12   1.121   7.891 0.005229 ** \n",
       "RC55          1   1.10   1.096   7.715 0.005753 ** \n",
       "RC40          1   0.71   0.714   5.030 0.025501 *  \n",
       "RC45          1   0.26   0.259   1.820 0.178074    \n",
       "RC86          1   0.49   0.493   3.470 0.063280 .  \n",
       "RC47          1   1.72   1.721  12.118 0.000558 ***\n",
       "RC73          1   0.29   0.289   2.038 0.154254    \n",
       "RC94          1   0.48   0.483   3.401 0.065937 .  \n",
       "RC65          1   0.28   0.280   1.972 0.161033    \n",
       "RC10          1   0.30   0.303   2.132 0.145137    \n",
       "RC61          1   0.83   0.831   5.847 0.016077 *  \n",
       "RC84          1   0.53   0.531   3.738 0.053955 .  \n",
       "RC76          1   0.47   0.468   3.293 0.070365 .  \n",
       "RC75          1   1.49   1.489  10.484 0.001312 ** \n",
       "RC83          1   0.64   0.635   4.472 0.035118 *  \n",
       "RC82          1   0.51   0.505   3.556 0.060115 .  \n",
       "RC87          1   0.96   0.959   6.749 0.009753 ** \n",
       "RC59          1   0.49   0.490   3.452 0.063946 .  \n",
       "RC89          1   0.27   0.274   1.929 0.165667    \n",
       "RC93          1   0.54   0.542   3.819 0.051422 .  \n",
       "RC103         1   0.34   0.339   2.386 0.123246    \n",
       "RC104         1   0.63   0.630   4.433 0.035907 *  \n",
       "Residuals   374  53.12   0.142                     \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# stepwise backwards eliminaton linear regression using the PCA scores but no truth label\n",
    "aov_model <- step(aov(as.matrix(y) ~ ., data=as.data.frame(pca$scores)), direction=\"backward\")\n",
    "summary(aov_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "my_data <- as.data.frame(pca$scores)\n",
    "my_cols <- c(\"RC1\", \"RC5\", \"RC12\", \"RC9\", \"RC67\", \"RC6\", \"RC53\", \"RC17\", \"RC33\", \"RC22\", \"RC42\", \"RC24\", \"RC26\", \"RC48\", \"RC55\", \"RC40\", \"RC47\", \"RC61\", \"RC75\", \"RC83\", \"RC87\", \"RC104\")\n",
    "my_cols_orig <- c(\"RC1\", \"RC5\", \"RC12\", \"RC63\", \"RC9\", \"RC19\", \"RC67\", \"RC20\", \"RC6\", \"RC23\", \"RC53\", \"RC17\", \"RC15\", \"RC33\", \"RC22\", \"RC42\", \"RC3\", \"RC24\", \"RC29\", \"RC21\", \"RC26\", \"RC52\", \"RC37\", \"RC58\", \"RC48\", \"RC55\", \"RC40\", \"RC45\", \"RC86\", \"RC47\", \"RC73\", \"RC94\", \"RC65\", \"RC10\", \"RC61\", \"RC84\", \"RC76\", \"RC75\", \"RC83\", \"RC82\", \"RC87\", \"RC59\", \"RC89\", \"RC93\", \"RC103\", \"RC104\")\n",
    "my_data1 <- my_data[, (names(my_data) %in% c(my_cols))]\n",
    "my_data2 <- my_data[, (names(my_data) %in% c(my_cols_orig))]\n",
    "write.csv(cbind(ids, my_data1, y), file = \"data/cohmetrix/classification.csv\")\n",
    "write.csv(cbind(ids, my_data2, y), file = \"data/cohmetrix/classification_orig.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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