DataScience_Foundation.ipynb

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  "metadata": {
    "colab": {
      "name": "DataScience_Foundation.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyM2YPHQPqFgRMgDm08H060w",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/abidshafee/google.colaboratory_projects/blob/master/DataScience_Foundation.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RImcYgCvb476",
        "colab_type": "text"
      },
      "source": [
        "# Data reduction or Dimentionality reduction"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dKu2O-T-7LFk",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "# from sklearn.preprocessing import scale\n",
        "# from sklearn.decomposition import PCA"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pY12VeoN7zfP",
        "colab_type": "code",
        "colab": {
          "resources": {
            "http://localhost:8080/nbextensions/google.colab/files.js": {
              "data": 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              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 72
        },
        "outputId": "60190a00-313b-4e4b-ed09-105a1af1226c"
      },
      "source": [
        "from google.colab import files\n",
        "uploaded = files.upload()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-f531b691-584d-4e30-af6d-47aa0892822a\" name=\"files[]\" multiple disabled\n",
              "        style=\"border:none\" />\n",
              "     <output id=\"result-f531b691-584d-4e30-af6d-47aa0892822a\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Saving ClusterData.csv to ClusterData.csv\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xzqc6xVD8H7e",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "df = pd.read_csv('Game_Logs_Offensive_Line.csv')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "r7t3m5FH_iNy",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 170
        },
        "outputId": "6b3f21b8-e374-464c-90e2-fbcaf134764d"
      },
      "source": [
        "df[['Week', 'Score']].info()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 130049 entries, 0 to 130048\n",
            "Data columns (total 2 columns):\n",
            " #   Column  Non-Null Count   Dtype \n",
            "---  ------  --------------   ----- \n",
            " 0   Week    130049 non-null  int64 \n",
            " 1   Score   130049 non-null  object\n",
            "dtypes: int64(1), object(1)\n",
            "memory usage: 2.0+ MB\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kXw6UUPGqosM",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# list the column variable with the data\n",
        "ldf = list(df.columns.values)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9ufKppnxr0jj",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "5417f1e6-f56e-421a-ec53-2591624bd539"
      },
      "source": [
        "len(ldf)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "15"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pdvNXQ81_k3j",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# df['FirstName'] = df[['Name']].apply(lamda x: x.split(',')[0])\n",
        "# df['Name'].isnull().sum()\n",
        "\n",
        "'''\n",
        "You can use str.split to split the strings, then test the number of splits using str.\n",
        "len and use this as a boolean mask to assign just those rows with the last component of the split:\n",
        "'''\n",
        "# spliting LastName\n",
        "df.loc[df['Name'].str.split().str.len() == 2, 'LastName'] = df['Name'].str.split().str[-1]\n",
        "\n",
        "# splitting FirstName\n",
        "df.loc[df['Name'].str.split().str.len() == 2, 'FirstName'] = df['Name'].str.split().str[0]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mFKWymptAfpE",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 606
        },
        "outputId": "ce74f853-7c65-4a46-91e3-2f685768ec72"
      },
      "source": [
        "df"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Player Id</th>\n",
              "      <th>Name</th>\n",
              "      <th>Position</th>\n",
              "      <th>Year</th>\n",
              "      <th>Season</th>\n",
              "      <th>Week</th>\n",
              "      <th>Game Date</th>\n",
              "      <th>Home or Away</th>\n",
              "      <th>Opponent</th>\n",
              "      <th>Outcome</th>\n",
              "      <th>Score</th>\n",
              "      <th>Games Played</th>\n",
              "      <th>Games Started</th>\n",
              "      <th>LastName</th>\n",
              "      <th>FirstName</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>jeffnady/2541732</td>\n",
              "      <td>Nady, Jeff</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2013</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>2</td>\n",
              "      <td>08/15</td>\n",
              "      <td>Away</td>\n",
              "      <td>BAL</td>\n",
              "      <td>L</td>\n",
              "      <td>23 to 27</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>Jeff</td>\n",
              "      <td>Nady,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>chrisriley/2530729</td>\n",
              "      <td>Riley, Chris</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2011</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>1</td>\n",
              "      <td>08/12</td>\n",
              "      <td>Away</td>\n",
              "      <td>DET</td>\n",
              "      <td>L</td>\n",
              "      <td>3 to 34</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>Chris</td>\n",
              "      <td>Riley,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>chrisriley/2530729</td>\n",
              "      <td>Riley, Chris</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2011</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>2</td>\n",
              "      <td>08/21</td>\n",
              "      <td>Away</td>\n",
              "      <td>NYJ</td>\n",
              "      <td>L</td>\n",
              "      <td>7 to 27</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>Chris</td>\n",
              "      <td>Riley,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>chrisriley/2530729</td>\n",
              "      <td>Riley, Chris</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2011</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>3</td>\n",
              "      <td>08/25</td>\n",
              "      <td>Home</td>\n",
              "      <td>CAR</td>\n",
              "      <td>W</td>\n",
              "      <td>24 to 13</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>Chris</td>\n",
              "      <td>Riley,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>chrisriley/2530729</td>\n",
              "      <td>Riley, Chris</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2011</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>4</td>\n",
              "      <td>09/01</td>\n",
              "      <td>Home</td>\n",
              "      <td>IND</td>\n",
              "      <td>L</td>\n",
              "      <td>13 to 17</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>Chris</td>\n",
              "      <td>Riley,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>130044</th>\n",
              "      <td>stephengoodin/2535931</td>\n",
              "      <td>Goodin, Stephen</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2013</td>\n",
              "      <td>Regular Season</td>\n",
              "      <td>17</td>\n",
              "      <td>12/29</td>\n",
              "      <td>Home</td>\n",
              "      <td>WAS</td>\n",
              "      <td>W</td>\n",
              "      <td>20 to 6</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>Stephen</td>\n",
              "      <td>Goodin,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>130045</th>\n",
              "      <td>stephengoodin/2535931</td>\n",
              "      <td>Goodin, Stephen</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2012</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>1</td>\n",
              "      <td>08/10</td>\n",
              "      <td>Away</td>\n",
              "      <td>JAC</td>\n",
              "      <td>L</td>\n",
              "      <td>31 to 32</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>Stephen</td>\n",
              "      <td>Goodin,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>130046</th>\n",
              "      <td>stephengoodin/2535931</td>\n",
              "      <td>Goodin, Stephen</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2012</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>2</td>\n",
              "      <td>08/18</td>\n",
              "      <td>Away</td>\n",
              "      <td>NYJ</td>\n",
              "      <td>W</td>\n",
              "      <td>26 to 3</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>Stephen</td>\n",
              "      <td>Goodin,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>130047</th>\n",
              "      <td>stephengoodin/2535931</td>\n",
              "      <td>Goodin, Stephen</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2012</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>3</td>\n",
              "      <td>08/24</td>\n",
              "      <td>Home</td>\n",
              "      <td>CHI</td>\n",
              "      <td>L</td>\n",
              "      <td>17 to 20</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>Stephen</td>\n",
              "      <td>Goodin,</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>130048</th>\n",
              "      <td>stephengoodin/2535931</td>\n",
              "      <td>Goodin, Stephen</td>\n",
              "      <td>NaN</td>\n",
              "      <td>2012</td>\n",
              "      <td>Preseason</td>\n",
              "      <td>4</td>\n",
              "      <td>08/29</td>\n",
              "      <td>Home</td>\n",
              "      <td>NE</td>\n",
              "      <td>W</td>\n",
              "      <td>6 to 3</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>Stephen</td>\n",
              "      <td>Goodin,</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>130049 rows × 15 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "                    Player Id             Name  ... LastName  FirstName\n",
              "0            jeffnady/2541732       Nady, Jeff  ...     Jeff      Nady,\n",
              "1          chrisriley/2530729     Riley, Chris  ...    Chris     Riley,\n",
              "2          chrisriley/2530729     Riley, Chris  ...    Chris     Riley,\n",
              "3          chrisriley/2530729     Riley, Chris  ...    Chris     Riley,\n",
              "4          chrisriley/2530729     Riley, Chris  ...    Chris     Riley,\n",
              "...                       ...              ...  ...      ...        ...\n",
              "130044  stephengoodin/2535931  Goodin, Stephen  ...  Stephen    Goodin,\n",
              "130045  stephengoodin/2535931  Goodin, Stephen  ...  Stephen    Goodin,\n",
              "130046  stephengoodin/2535931  Goodin, Stephen  ...  Stephen    Goodin,\n",
              "130047  stephengoodin/2535931  Goodin, Stephen  ...  Stephen    Goodin,\n",
              "130048  stephengoodin/2535931  Goodin, Stephen  ...  Stephen    Goodin,\n",
              "\n",
              "[130049 rows x 15 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "t_7_V9HWGz5R",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "outputId": "7ae232b7-1782-4ad4-9dec-7223ff29d5cd"
      },
      "source": [
        "# converting dataframe to numpy object using 'values' attributes \n",
        "x = df.values\n",
        "df.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Year</th>\n",
              "      <th>Week</th>\n",
              "      <th>Games Played</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>130049.000000</td>\n",
              "      <td>130049.000000</td>\n",
              "      <td>130049.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>1998.308707</td>\n",
              "      <td>8.481226</td>\n",
              "      <td>0.854539</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>13.607618</td>\n",
              "      <td>5.329845</td>\n",
              "      <td>0.352566</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>1970.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>1987.000000</td>\n",
              "      <td>4.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>2001.000000</td>\n",
              "      <td>8.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>2010.000000</td>\n",
              "      <td>13.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>2016.000000</td>\n",
              "      <td>23.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                Year           Week   Games Played\n",
              "count  130049.000000  130049.000000  130049.000000\n",
              "mean     1998.308707       8.481226       0.854539\n",
              "std        13.607618       5.329845       0.352566\n",
              "min      1970.000000       0.000000       0.000000\n",
              "25%      1987.000000       4.000000       1.000000\n",
              "50%      2001.000000       8.000000       1.000000\n",
              "75%      2010.000000      13.000000       1.000000\n",
              "max      2016.000000      23.000000       1.000000"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mA03wcNQQZ4Q",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 391
        },
        "outputId": "47b77790-1d59-4350-cc0d-1e1d6ac4d5f9"
      },
      "source": [
        "df.info()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 130049 entries, 0 to 130048\n",
            "Data columns (total 15 columns):\n",
            " #   Column         Non-Null Count   Dtype \n",
            "---  ------         --------------   ----- \n",
            " 0   Player Id      130049 non-null  object\n",
            " 1   Name           130049 non-null  object\n",
            " 2   Position       28678 non-null   object\n",
            " 3   Year           130049 non-null  int64 \n",
            " 4   Season         130049 non-null  object\n",
            " 5   Week           130049 non-null  int64 \n",
            " 6   Game Date      130049 non-null  object\n",
            " 7   Home or Away   130049 non-null  object\n",
            " 8   Opponent       130049 non-null  object\n",
            " 9   Outcome        130049 non-null  object\n",
            " 10  Score          130049 non-null  object\n",
            " 11  Games Played   130049 non-null  int64 \n",
            " 12  Games Started  130049 non-null  object\n",
            " 13  LastName       128977 non-null  object\n",
            " 14  FirstName      128977 non-null  object\n",
            "dtypes: int64(3), object(12)\n",
            "memory usage: 14.9+ MB\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wpF7aH1Vbv9C",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 221
        },
        "outputId": "9a42c6d3-482a-4733-aedd-d3eaf14df5c3"
      },
      "source": [
        "x"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([['jeffnady/2541732', 'Nady, Jeff', nan, ..., '0', 'Jeff', 'Nady,'],\n",
              "       ['chrisriley/2530729', 'Riley, Chris', nan, ..., '0', 'Chris',\n",
              "        'Riley,'],\n",
              "       ['chrisriley/2530729', 'Riley, Chris', nan, ..., '0', 'Chris',\n",
              "        'Riley,'],\n",
              "       ...,\n",
              "       ['stephengoodin/2535931', 'Goodin, Stephen', nan, ..., '0',\n",
              "        'Stephen', 'Goodin,'],\n",
              "       ['stephengoodin/2535931', 'Goodin, Stephen', nan, ..., '0',\n",
              "        'Stephen', 'Goodin,'],\n",
              "       ['stephengoodin/2535931', 'Goodin, Stephen', nan, ..., '0',\n",
              "        'Stephen', 'Goodin,']], dtype=object)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GcmeGYUWbxr6",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 289
        },
        "outputId": "56256c8e-2ea3-4c1d-a723-03fcd8c1e185"
      },
      "source": [
        "df.isna().sum()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Player Id             0\n",
              "Name                  0\n",
              "Position         101371\n",
              "Year                  0\n",
              "Season                0\n",
              "Week                  0\n",
              "Game Date             0\n",
              "Home or Away          0\n",
              "Opponent              0\n",
              "Outcome               0\n",
              "Score                 0\n",
              "Games Played          0\n",
              "Games Started         0\n",
              "LastName           1072\n",
              "FirstName          1072\n",
              "dtype: int64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dHkzfX5TBWrh",
        "colab_type": "text"
      },
      "source": [
        "## Statistical Function in NumPy\n",
        "### x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
        " - **a = np.arrange(x)**\\\n",
        " - **b = np.median(x)**\\\n",
        " - **c = np.average(x)**\n",
        " - **d = np.mean(x)**\n",
        " - **e = np.std(a) #standard deviation**\n",
        " - **d = np.var(a) #varience**\n",
        " - **np.histogram(a)**"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "B3bxGRxnt8We",
        "colab_type": "text"
      },
      "source": [
        "# Clustering Data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZWJIzo7h_F44",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "data = pd.read_csv('ClusterData.csv')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "h-ebln8Lu4jy",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 334
        },
        "outputId": "84ef15ee-cc35-453d-cf5f-7ffc90c4b9d3"
      },
      "source": [
        "data.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>data science</th>\n",
              "      <th>cluster analysis</th>\n",
              "      <th>college</th>\n",
              "      <th>startup</th>\n",
              "      <th>entrepreneur</th>\n",
              "      <th>ceo</th>\n",
              "      <th>mortgage</th>\n",
              "      <th>nba</th>\n",
              "      <th>nfl</th>\n",
              "      <th>mlb</th>\n",
              "      <th>fifa</th>\n",
              "      <th>modern dance</th>\n",
              "      <th>prius</th>\n",
              "      <th>escalade</th>\n",
              "      <th>subaru</th>\n",
              "      <th>jello</th>\n",
              "      <th>bbq</th>\n",
              "      <th>royal family</th>\n",
              "      <th>obfuscation</th>\n",
              "      <th>unicorn</th>\n",
              "      <th>Extraversion</th>\n",
              "      <th>Agreeableness</th>\n",
              "      <th>Conscientiousness</th>\n",
              "      <th>Neuroticism</th>\n",
              "      <th>Openness</th>\n",
              "      <th>PsychRegions</th>\n",
              "      <th>region</th>\n",
              "      <th>division</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.0000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "      <td>48.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>-0.000833</td>\n",
              "      <td>-0.012500</td>\n",
              "      <td>0.060625</td>\n",
              "      <td>0.013542</td>\n",
              "      <td>0.031667</td>\n",
              "      <td>-0.030000</td>\n",
              "      <td>-0.026250</td>\n",
              "      <td>-0.025000</td>\n",
              "      <td>-0.027292</td>\n",
              "      <td>0.021458</td>\n",
              "      <td>0.038333</td>\n",
              "      <td>-0.007708</td>\n",
              "      <td>-0.048958</td>\n",
              "      <td>0.018958</td>\n",
              "      <td>-0.020417</td>\n",
              "      <td>0.002917</td>\n",
              "      <td>0.001667</td>\n",
              "      <td>-0.113750</td>\n",
              "      <td>-0.003542</td>\n",
              "      <td>0.015000</td>\n",
              "      <td>49.695833</td>\n",
              "      <td>50.593750</td>\n",
              "      <td>50.1250</td>\n",
              "      <td>50.185417</td>\n",
              "      <td>49.427083</td>\n",
              "      <td>1.791667</td>\n",
              "      <td>2.604167</td>\n",
              "      <td>4.958333</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>0.971397</td>\n",
              "      <td>0.972073</td>\n",
              "      <td>0.982906</td>\n",
              "      <td>1.023726</td>\n",
              "      <td>0.974069</td>\n",
              "      <td>0.910588</td>\n",
              "      <td>0.984956</td>\n",
              "      <td>0.998769</td>\n",
              "      <td>1.017104</td>\n",
              "      <td>1.010104</td>\n",
              "      <td>1.001002</td>\n",
              "      <td>1.024544</td>\n",
              "      <td>0.958153</td>\n",
              "      <td>1.026055</td>\n",
              "      <td>0.991573</td>\n",
              "      <td>1.010277</td>\n",
              "      <td>1.015286</td>\n",
              "      <td>0.904096</td>\n",
              "      <td>1.010908</td>\n",
              "      <td>0.991743</td>\n",
              "      <td>9.862975</td>\n",
              "      <td>9.192166</td>\n",
              "      <td>10.0659</td>\n",
              "      <td>10.030952</td>\n",
              "      <td>9.267117</td>\n",
              "      <td>0.874176</td>\n",
              "      <td>1.046566</td>\n",
              "      <td>2.483634</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>-1.270000</td>\n",
              "      <td>-1.700000</td>\n",
              "      <td>-1.960000</td>\n",
              "      <td>-1.830000</td>\n",
              "      <td>-1.940000</td>\n",
              "      <td>-1.380000</td>\n",
              "      <td>-2.400000</td>\n",
              "      <td>-1.720000</td>\n",
              "      <td>-2.560000</td>\n",
              "      <td>-1.500000</td>\n",
              "      <td>-1.570000</td>\n",
              "      <td>-1.360000</td>\n",
              "      <td>-1.390000</td>\n",
              "      <td>-2.340000</td>\n",
              "      <td>-1.340000</td>\n",
              "      <td>-1.620000</td>\n",
              "      <td>-1.680000</td>\n",
              "      <td>-2.550000</td>\n",
              "      <td>-1.770000</td>\n",
              "      <td>-1.720000</td>\n",
              "      <td>26.500000</td>\n",
              "      <td>29.800000</td>\n",
              "      <td>24.0000</td>\n",
              "      <td>30.400000</td>\n",
              "      <td>21.800000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>-0.662500</td>\n",
              "      <td>-0.730000</td>\n",
              "      <td>-0.617500</td>\n",
              "      <td>-0.650000</td>\n",
              "      <td>-0.607500</td>\n",
              "      <td>-0.675000</td>\n",
              "      <td>-0.732500</td>\n",
              "      <td>-0.855000</td>\n",
              "      <td>-0.650000</td>\n",
              "      <td>-0.812500</td>\n",
              "      <td>-0.672500</td>\n",
              "      <td>-0.630000</td>\n",
              "      <td>-0.582500</td>\n",
              "      <td>-0.602500</td>\n",
              "      <td>-0.740000</td>\n",
              "      <td>-0.757500</td>\n",
              "      <td>-0.905000</td>\n",
              "      <td>-0.645000</td>\n",
              "      <td>-0.730000</td>\n",
              "      <td>-0.537500</td>\n",
              "      <td>44.350000</td>\n",
              "      <td>45.775000</td>\n",
              "      <td>43.0500</td>\n",
              "      <td>43.850000</td>\n",
              "      <td>42.700000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>2.000000</td>\n",
              "      <td>3.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>-0.235000</td>\n",
              "      <td>-0.135000</td>\n",
              "      <td>-0.050000</td>\n",
              "      <td>-0.055000</td>\n",
              "      <td>0.070000</td>\n",
              "      <td>-0.115000</td>\n",
              "      <td>-0.005000</td>\n",
              "      <td>-0.130000</td>\n",
              "      <td>-0.140000</td>\n",
              "      <td>-0.035000</td>\n",
              "      <td>-0.250000</td>\n",
              "      <td>-0.215000</td>\n",
              "      <td>-0.290000</td>\n",
              "      <td>-0.130000</td>\n",
              "      <td>-0.280000</td>\n",
              "      <td>-0.195000</td>\n",
              "      <td>-0.185000</td>\n",
              "      <td>-0.255000</td>\n",
              "      <td>-0.105000</td>\n",
              "      <td>-0.165000</td>\n",
              "      <td>51.150000</td>\n",
              "      <td>52.050000</td>\n",
              "      <td>51.3500</td>\n",
              "      <td>49.000000</td>\n",
              "      <td>49.850000</td>\n",
              "      <td>1.500000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>5.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>0.352500</td>\n",
              "      <td>0.412500</td>\n",
              "      <td>0.747500</td>\n",
              "      <td>0.332500</td>\n",
              "      <td>0.485000</td>\n",
              "      <td>0.420000</td>\n",
              "      <td>0.537500</td>\n",
              "      <td>0.612500</td>\n",
              "      <td>0.702500</td>\n",
              "      <td>0.867500</td>\n",
              "      <td>0.760000</td>\n",
              "      <td>0.485000</td>\n",
              "      <td>0.172500</td>\n",
              "      <td>0.682500</td>\n",
              "      <td>0.460000</td>\n",
              "      <td>0.572500</td>\n",
              "      <td>0.817500</td>\n",
              "      <td>0.440000</td>\n",
              "      <td>0.462500</td>\n",
              "      <td>0.387500</td>\n",
              "      <td>56.050000</td>\n",
              "      <td>56.625000</td>\n",
              "      <td>56.1250</td>\n",
              "      <td>56.925000</td>\n",
              "      <td>56.675000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>7.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>2.730000</td>\n",
              "      <td>2.910000</td>\n",
              "      <td>2.360000</td>\n",
              "      <td>2.630000</td>\n",
              "      <td>2.740000</td>\n",
              "      <td>2.460000</td>\n",
              "      <td>1.890000</td>\n",
              "      <td>2.120000</td>\n",
              "      <td>2.090000</td>\n",
              "      <td>2.490000</td>\n",
              "      <td>2.600000</td>\n",
              "      <td>4.790000</td>\n",
              "      <td>3.970000</td>\n",
              "      <td>2.000000</td>\n",
              "      <td>3.210000</td>\n",
              "      <td>2.650000</td>\n",
              "      <td>2.050000</td>\n",
              "      <td>1.750000</td>\n",
              "      <td>2.590000</td>\n",
              "      <td>3.220000</td>\n",
              "      <td>69.800000</td>\n",
              "      <td>69.400000</td>\n",
              "      <td>69.6000</td>\n",
              "      <td>79.200000</td>\n",
              "      <td>65.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>4.000000</td>\n",
              "      <td>9.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "       data science  cluster analysis  ...     region   division\n",
              "count     48.000000         48.000000  ...  48.000000  48.000000\n",
              "mean      -0.000833         -0.012500  ...   2.604167   4.958333\n",
              "std        0.971397          0.972073  ...   1.046566   2.483634\n",
              "min       -1.270000         -1.700000  ...   1.000000   1.000000\n",
              "25%       -0.662500         -0.730000  ...   2.000000   3.000000\n",
              "50%       -0.235000         -0.135000  ...   3.000000   5.000000\n",
              "75%        0.352500          0.412500  ...   3.000000   7.000000\n",
              "max        2.730000          2.910000  ...   4.000000   9.000000\n",
              "\n",
              "[8 rows x 28 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0yoU8ntVu3OJ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 646
        },
        "outputId": "63139f5b-6d45-41f5-fe98-3099fbc72530"
      },
      "source": [
        "data.info()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 48 entries, 0 to 47\n",
            "Data columns (total 30 columns):\n",
            " #   Column             Non-Null Count  Dtype  \n",
            "---  ------             --------------  -----  \n",
            " 0   State              48 non-null     object \n",
            " 1   state_code         48 non-null     object \n",
            " 2   data science       48 non-null     float64\n",
            " 3   cluster analysis   48 non-null     float64\n",
            " 4   college            48 non-null     float64\n",
            " 5   startup            48 non-null     float64\n",
            " 6   entrepreneur       48 non-null     float64\n",
            " 7   ceo                48 non-null     float64\n",
            " 8   mortgage           48 non-null     float64\n",
            " 9   nba                48 non-null     float64\n",
            " 10  nfl                48 non-null     float64\n",
            " 11  mlb                48 non-null     float64\n",
            " 12  fifa               48 non-null     float64\n",
            " 13  modern dance       48 non-null     float64\n",
            " 14  prius              48 non-null     float64\n",
            " 15  escalade           48 non-null     float64\n",
            " 16  subaru             48 non-null     float64\n",
            " 17  jello              48 non-null     float64\n",
            " 18  bbq                48 non-null     float64\n",
            " 19  royal family       48 non-null     float64\n",
            " 20  obfuscation        48 non-null     float64\n",
            " 21  unicorn            48 non-null     float64\n",
            " 22  Extraversion       48 non-null     float64\n",
            " 23  Agreeableness      48 non-null     float64\n",
            " 24  Conscientiousness  48 non-null     float64\n",
            " 25  Neuroticism        48 non-null     float64\n",
            " 26  Openness           48 non-null     float64\n",
            " 27  PsychRegions       48 non-null     int64  \n",
            " 28  region             48 non-null     int64  \n",
            " 29  division           48 non-null     int64  \n",
            "dtypes: float64(25), int64(3), object(2)\n",
            "memory usage: 11.4+ KB\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rItlR6MW1rkc",
        "colab_type": "text"
      },
      "source": [
        "## Saving Numerical data only data_inc dataframe\n",
        "Because for cluster analysis we only need numerical datas"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zwy-dz34vF_C",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "data_inc = data[data.columns[2:]]\n",
        "\n",
        "# defining index of data_inc dataframe\n",
        "data_inc.index = data.iloc[:,1]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5DHLLhDp2Sls",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "d35be758-8080-4ae5-fb70-e724dc2e086e"
      },
      "source": [
        "data_inc"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>data science</th>\n",
              "      <th>cluster analysis</th>\n",
              "      <th>college</th>\n",
              "      <th>startup</th>\n",
              "      <th>entrepreneur</th>\n",
              "      <th>ceo</th>\n",
              "      <th>mortgage</th>\n",
              "      <th>nba</th>\n",
              "      <th>nfl</th>\n",
              "      <th>mlb</th>\n",
              "      <th>fifa</th>\n",
              "      <th>modern dance</th>\n",
              "      <th>prius</th>\n",
              "      <th>escalade</th>\n",
              "      <th>subaru</th>\n",
              "      <th>jello</th>\n",
              "      <th>bbq</th>\n",
              "      <th>royal family</th>\n",
              "      <th>obfuscation</th>\n",
              "      <th>unicorn</th>\n",
              "      <th>Extraversion</th>\n",
              "      <th>Agreeableness</th>\n",
              "      <th>Conscientiousness</th>\n",
              "      <th>Neuroticism</th>\n",
              "      <th>Openness</th>\n",
              "      <th>PsychRegions</th>\n",
              "      <th>region</th>\n",
              "      <th>division</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>state_code</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>AL</th>\n",
              "      <td>-1.00</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>1.10</td>\n",
              "      <td>-0.68</td>\n",
              "      <td>0.15</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>1.53</td>\n",
              "      <td>-0.74</td>\n",
              "      <td>-1.83</td>\n",
              "      <td>-1.30</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>-1.22</td>\n",
              "      <td>-0.74</td>\n",
              "      <td>0.10</td>\n",
              "      <td>-1.19</td>\n",
              "      <td>-0.75</td>\n",
              "      <td>1.52</td>\n",
              "      <td>0.26</td>\n",
              "      <td>-0.32</td>\n",
              "      <td>-1.03</td>\n",
              "      <td>55.5</td>\n",
              "      <td>52.7</td>\n",
              "      <td>55.5</td>\n",
              "      <td>48.7</td>\n",
              "      <td>42.7</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>AZ</th>\n",
              "      <td>-0.42</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>-0.10</td>\n",
              "      <td>0.11</td>\n",
              "      <td>0.57</td>\n",
              "      <td>0.25</td>\n",
              "      <td>0.95</td>\n",
              "      <td>0.38</td>\n",
              "      <td>0.68</td>\n",
              "      <td>0.14</td>\n",
              "      <td>0.10</td>\n",
              "      <td>0.30</td>\n",
              "      <td>1.19</td>\n",
              "      <td>0.78</td>\n",
              "      <td>-0.70</td>\n",
              "      <td>-0.58</td>\n",
              "      <td>0.36</td>\n",
              "      <td>-1.06</td>\n",
              "      <td>0.38</td>\n",
              "      <td>0.10</td>\n",
              "      <td>50.6</td>\n",
              "      <td>46.6</td>\n",
              "      <td>58.4</td>\n",
              "      <td>38.1</td>\n",
              "      <td>54.7</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>AR</th>\n",
              "      <td>-0.66</td>\n",
              "      <td>-0.39</td>\n",
              "      <td>-0.64</td>\n",
              "      <td>-0.08</td>\n",
              "      <td>0.01</td>\n",
              "      <td>-0.66</td>\n",
              "      <td>-0.50</td>\n",
              "      <td>-0.71</td>\n",
              "      <td>-1.59</td>\n",
              "      <td>-1.24</td>\n",
              "      <td>-0.88</td>\n",
              "      <td>-1.36</td>\n",
              "      <td>-0.43</td>\n",
              "      <td>0.93</td>\n",
              "      <td>-0.79</td>\n",
              "      <td>-0.19</td>\n",
              "      <td>1.01</td>\n",
              "      <td>-0.09</td>\n",
              "      <td>-0.45</td>\n",
              "      <td>-0.32</td>\n",
              "      <td>49.9</td>\n",
              "      <td>52.7</td>\n",
              "      <td>41.0</td>\n",
              "      <td>56.2</td>\n",
              "      <td>40.3</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>7</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>CA</th>\n",
              "      <td>1.95</td>\n",
              "      <td>-0.62</td>\n",
              "      <td>-0.26</td>\n",
              "      <td>2.02</td>\n",
              "      <td>0.46</td>\n",
              "      <td>1.27</td>\n",
              "      <td>-0.97</td>\n",
              "      <td>1.46</td>\n",
              "      <td>-0.91</td>\n",
              "      <td>0.39</td>\n",
              "      <td>1.94</td>\n",
              "      <td>0.33</td>\n",
              "      <td>3.97</td>\n",
              "      <td>-0.28</td>\n",
              "      <td>-0.52</td>\n",
              "      <td>-1.21</td>\n",
              "      <td>1.37</td>\n",
              "      <td>-1.04</td>\n",
              "      <td>0.70</td>\n",
              "      <td>-0.38</td>\n",
              "      <td>51.4</td>\n",
              "      <td>49.0</td>\n",
              "      <td>43.2</td>\n",
              "      <td>39.1</td>\n",
              "      <td>65.0</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "      <td>9</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>CO</th>\n",
              "      <td>0.34</td>\n",
              "      <td>0.00</td>\n",
              "      <td>-0.61</td>\n",
              "      <td>1.49</td>\n",
              "      <td>0.05</td>\n",
              "      <td>0.33</td>\n",
              "      <td>1.38</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>1.17</td>\n",
              "      <td>-0.51</td>\n",
              "      <td>-0.33</td>\n",
              "      <td>-0.34</td>\n",
              "      <td>0.24</td>\n",
              "      <td>0.01</td>\n",
              "      <td>1.37</td>\n",
              "      <td>-0.55</td>\n",
              "      <td>0.63</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>1.32</td>\n",
              "      <td>0.20</td>\n",
              "      <td>45.3</td>\n",
              "      <td>47.5</td>\n",
              "      <td>58.8</td>\n",
              "      <td>34.3</td>\n",
              "      <td>57.9</td>\n",
              "      <td>1</td>\n",
              "      <td>4</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>CT</th>\n",
              "      <td>0.69</td>\n",
              "      <td>1.28</td>\n",
              "      <td>1.17</td>\n",
              "      <td>0.41</td>\n",
              "      <td>0.09</td>\n",
              "      <td>1.52</td>\n",
              "      <td>0.51</td>\n",
              "      <td>0.03</td>\n",
              "      <td>-0.64</td>\n",
              "      <td>1.25</td>\n",
              "      <td>1.58</td>\n",
              "      <td>0.59</td>\n",
              "      <td>0.11</td>\n",
              "      <td>-1.14</td>\n",
              "      <td>1.17</td>\n",
              "      <td>-0.78</td>\n",
              "      <td>-1.05</td>\n",
              "      <td>1.11</td>\n",
              "      <td>0.47</td>\n",
              "      <td>0.09</td>\n",
              "      <td>57.6</td>\n",
              "      <td>38.6</td>\n",
              "      <td>34.2</td>\n",
              "      <td>53.4</td>\n",
              "      <td>53.9</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DE</th>\n",
              "      <td>0.45</td>\n",
              "      <td>2.91</td>\n",
              "      <td>-0.46</td>\n",
              "      <td>0.14</td>\n",
              "      <td>2.74</td>\n",
              "      <td>0.91</td>\n",
              "      <td>1.71</td>\n",
              "      <td>0.37</td>\n",
              "      <td>1.63</td>\n",
              "      <td>0.86</td>\n",
              "      <td>0.83</td>\n",
              "      <td>-0.16</td>\n",
              "      <td>0.12</td>\n",
              "      <td>-0.61</td>\n",
              "      <td>-0.10</td>\n",
              "      <td>-0.56</td>\n",
              "      <td>-1.05</td>\n",
              "      <td>0.94</td>\n",
              "      <td>0.11</td>\n",
              "      <td>-0.49</td>\n",
              "      <td>47.0</td>\n",
              "      <td>38.8</td>\n",
              "      <td>36.5</td>\n",
              "      <td>62.4</td>\n",
              "      <td>42.7</td>\n",
              "      <td>3</td>\n",
              "      <td>3</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>FL</th>\n",
              "      <td>-0.73</td>\n",
              "      <td>-1.38</td>\n",
              "      <td>-0.30</td>\n",
              "      <td>-0.75</td>\n",
              "      <td>0.78</td>\n",
              "      <td>0.36</td>\n",
              "      <td>0.03</td>\n",
              "      <td>1.43</td>\n",
              "      <td>-0.47</td>\n",
              "      <td>0.06</td>\n",
              "      <td>1.07</td>\n",
              "      <td>-0.51</td>\n",
              "      <td>-0.02</td>\n",
              "      <td>0.82</td>\n",
              "      <td>-1.01</td>\n",
              "      <td>-1.07</td>\n",
              "      <td>-0.18</td>\n",
              "      <td>-0.84</td>\n",
              "      <td>-0.88</td>\n",
              "      <td>-1.10</td>\n",
              "      <td>60.9</td>\n",
              "      <td>50.7</td>\n",
              "      <td>62.7</td>\n",
              "      <td>40.8</td>\n",
              "      <td>61.0</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>GA</th>\n",
              "      <td>-0.27</td>\n",
              "      <td>-0.57</td>\n",
              "      <td>0.25</td>\n",
              "      <td>-1.13</td>\n",
              "      <td>1.97</td>\n",
              "      <td>0.42</td>\n",
              "      <td>0.25</td>\n",
              "      <td>0.89</td>\n",
              "      <td>-0.53</td>\n",
              "      <td>-0.67</td>\n",
              "      <td>0.09</td>\n",
              "      <td>-0.81</td>\n",
              "      <td>-0.49</td>\n",
              "      <td>1.14</td>\n",
              "      <td>-1.04</td>\n",
              "      <td>-1.03</td>\n",
              "      <td>1.22</td>\n",
              "      <td>-1.26</td>\n",
              "      <td>-0.71</td>\n",
              "      <td>-1.01</td>\n",
              "      <td>63.2</td>\n",
              "      <td>60.0</td>\n",
              "      <td>68.8</td>\n",
              "      <td>38.0</td>\n",
              "      <td>56.9</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>ID</th>\n",
              "      <td>-0.67</td>\n",
              "      <td>-1.12</td>\n",
              "      <td>-0.87</td>\n",
              "      <td>1.30</td>\n",
              "      <td>0.21</td>\n",
              "      <td>-0.59</td>\n",
              "      <td>0.62</td>\n",
              "      <td>-1.47</td>\n",
              "      <td>-0.30</td>\n",
              "      <td>-1.35</td>\n",
              "      <td>-0.90</td>\n",
              "      <td>0.21</td>\n",
              "      <td>-0.03</td>\n",
              "      <td>-0.60</td>\n",
              "      <td>1.07</td>\n",
              "      <td>1.23</td>\n",
              "      <td>0.19</td>\n",
              "      <td>-0.83</td>\n",
              "      <td>1.05</td>\n",
              "      <td>1.80</td>\n",
              "      <td>40.7</td>\n",
              "      <td>52.9</td>\n",
              "      <td>44.5</td>\n",
              "      <td>44.2</td>\n",
              "      <td>44.7</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>IL</th>\n",
              "      <td>0.87</td>\n",
              "      <td>0.79</td>\n",
              "      <td>0.02</td>\n",
              "      <td>-0.58</td>\n",
              "      <td>-0.05</td>\n",
              "      <td>1.21</td>\n",
              "      <td>-0.43</td>\n",
              "      <td>1.83</td>\n",
              "      <td>-0.07</td>\n",
              "      <td>1.33</td>\n",
              "      <td>0.35</td>\n",
              "      <td>-0.46</td>\n",
              "      <td>-0.20</td>\n",
              "      <td>0.47</td>\n",
              "      <td>-0.66</td>\n",
              "      <td>0.25</td>\n",
              "      <td>0.02</td>\n",
              "      <td>-0.64</td>\n",
              "      <td>-0.27</td>\n",
              "      <td>-1.00</td>\n",
              "      <td>62.5</td>\n",
              "      <td>48.3</td>\n",
              "      <td>50.9</td>\n",
              "      <td>51.2</td>\n",
              "      <td>55.2</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>IN</th>\n",
              "      <td>0.01</td>\n",
              "      <td>0.65</td>\n",
              "      <td>-0.86</td>\n",
              "      <td>0.22</td>\n",
              "      <td>0.93</td>\n",
              "      <td>-0.02</td>\n",
              "      <td>0.07</td>\n",
              "      <td>0.61</td>\n",
              "      <td>-0.16</td>\n",
              "      <td>-0.31</td>\n",
              "      <td>-0.36</td>\n",
              "      <td>-0.28</td>\n",
              "      <td>-0.28</td>\n",
              "      <td>-0.08</td>\n",
              "      <td>-0.63</td>\n",
              "      <td>0.57</td>\n",
              "      <td>-0.90</td>\n",
              "      <td>0.23</td>\n",
              "      <td>0.02</td>\n",
              "      <td>0.37</td>\n",
              "      <td>48.9</td>\n",
              "      <td>50.2</td>\n",
              "      <td>56.2</td>\n",
              "      <td>59.3</td>\n",
              "      <td>44.9</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>IA</th>\n",
              "      <td>-0.26</td>\n",
              "      <td>0.02</td>\n",
              "      <td>1.46</td>\n",
              "      <td>-0.03</td>\n",
              "      <td>0.22</td>\n",
              "      <td>-0.65</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>-1.02</td>\n",
              "      <td>0.26</td>\n",
              "      <td>0.15</td>\n",
              "      <td>-0.41</td>\n",
              "      <td>-0.94</td>\n",
              "      <td>-0.38</td>\n",
              "      <td>-0.33</td>\n",
              "      <td>-0.61</td>\n",
              "      <td>2.65</td>\n",
              "      <td>-0.68</td>\n",
              "      <td>0.30</td>\n",
              "      <td>-0.67</td>\n",
              "      <td>0.41</td>\n",
              "      <td>62.8</td>\n",
              "      <td>56.6</td>\n",
              "      <td>52.2</td>\n",
              "      <td>49.1</td>\n",
              "      <td>33.7</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>KS</th>\n",
              "      <td>-0.73</td>\n",
              "      <td>-0.96</td>\n",
              "      <td>0.01</td>\n",
              "      <td>-0.56</td>\n",
              "      <td>0.14</td>\n",
              "      <td>-0.66</td>\n",
              "      <td>-1.55</td>\n",
              "      <td>-0.65</td>\n",
              "      <td>-0.50</td>\n",
              "      <td>0.43</td>\n",
              "      <td>0.25</td>\n",
              "      <td>-1.13</td>\n",
              "      <td>-0.57</td>\n",
              "      <td>-0.19</td>\n",
              "      <td>-0.78</td>\n",
              "      <td>0.49</td>\n",
              "      <td>1.88</td>\n",
              "      <td>-0.58</td>\n",
              "      <td>-0.98</td>\n",
              "      <td>-0.14</td>\n",
              "      <td>45.5</td>\n",
              "      <td>48.9</td>\n",
              "      <td>50.8</td>\n",
              "      <td>49.0</td>\n",
              "      <td>40.1</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>KY</th>\n",
              "      <td>-0.65</td>\n",
              "      <td>-0.96</td>\n",
              "      <td>0.26</td>\n",
              "      <td>-1.10</td>\n",
              "      <td>-0.60</td>\n",
              "      <td>-0.72</td>\n",
              "      <td>-0.74</td>\n",
              "      <td>0.51</td>\n",
              "      <td>-0.96</td>\n",
              "      <td>-0.66</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>-0.19</td>\n",
              "      <td>-0.42</td>\n",
              "      <td>0.33</td>\n",
              "      <td>-0.85</td>\n",
              "      <td>-0.11</td>\n",
              "      <td>0.29</td>\n",
              "      <td>-0.38</td>\n",
              "      <td>-0.95</td>\n",
              "      <td>-0.50</td>\n",
              "      <td>53.4</td>\n",
              "      <td>48.1</td>\n",
              "      <td>51.3</td>\n",
              "      <td>62.5</td>\n",
              "      <td>43.0</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>LA</th>\n",
              "      <td>-1.08</td>\n",
              "      <td>-1.02</td>\n",
              "      <td>-0.82</td>\n",
              "      <td>-1.67</td>\n",
              "      <td>-0.09</td>\n",
              "      <td>-1.13</td>\n",
              "      <td>-0.22</td>\n",
              "      <td>0.62</td>\n",
              "      <td>0.57</td>\n",
              "      <td>-1.50</td>\n",
              "      <td>-0.71</td>\n",
              "      <td>-0.04</td>\n",
              "      <td>-1.24</td>\n",
              "      <td>1.64</td>\n",
              "      <td>-1.24</td>\n",
              "      <td>-0.39</td>\n",
              "      <td>0.78</td>\n",
              "      <td>-0.42</td>\n",
              "      <td>-1.38</td>\n",
              "      <td>-1.13</td>\n",
              "      <td>52.2</td>\n",
              "      <td>49.7</td>\n",
              "      <td>45.0</td>\n",
              "      <td>60.4</td>\n",
              "      <td>53.7</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>7</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>ME</th>\n",
              "      <td>-0.79</td>\n",
              "      <td>-1.00</td>\n",
              "      <td>0.60</td>\n",
              "      <td>0.28</td>\n",
              "      <td>-1.76</td>\n",
              "      <td>-0.81</td>\n",
              "      <td>0.13</td>\n",
              "      <td>-1.10</td>\n",
              "      <td>-0.48</td>\n",
              "      <td>0.97</td>\n",
              "      <td>-0.66</td>\n",
              "      <td>0.47</td>\n",
              "      <td>1.18</td>\n",
              "      <td>-1.87</td>\n",
              "      <td>1.77</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>-0.99</td>\n",
              "      <td>1.53</td>\n",
              "      <td>0.12</td>\n",
              "      <td>3.22</td>\n",
              "      <td>44.2</td>\n",
              "      <td>32.8</td>\n",
              "      <td>24.0</td>\n",
              "      <td>71.0</td>\n",
              "      <td>50.8</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MD</th>\n",
              "      <td>2.00</td>\n",
              "      <td>2.57</td>\n",
              "      <td>1.20</td>\n",
              "      <td>0.74</td>\n",
              "      <td>1.22</td>\n",
              "      <td>0.80</td>\n",
              "      <td>1.89</td>\n",
              "      <td>0.30</td>\n",
              "      <td>1.48</td>\n",
              "      <td>0.76</td>\n",
              "      <td>1.28</td>\n",
              "      <td>1.88</td>\n",
              "      <td>0.66</td>\n",
              "      <td>-0.48</td>\n",
              "      <td>-0.30</td>\n",
              "      <td>-0.94</td>\n",
              "      <td>-0.38</td>\n",
              "      <td>1.38</td>\n",
              "      <td>2.59</td>\n",
              "      <td>-0.49</td>\n",
              "      <td>35.2</td>\n",
              "      <td>37.3</td>\n",
              "      <td>37.5</td>\n",
              "      <td>49.4</td>\n",
              "      <td>56.6</td>\n",
              "      <td>3</td>\n",
              "      <td>3</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MA</th>\n",
              "      <td>2.73</td>\n",
              "      <td>2.53</td>\n",
              "      <td>1.99</td>\n",
              "      <td>2.17</td>\n",
              "      <td>0.29</td>\n",
              "      <td>2.41</td>\n",
              "      <td>0.50</td>\n",
              "      <td>0.54</td>\n",
              "      <td>-0.11</td>\n",
              "      <td>1.22</td>\n",
              "      <td>0.76</td>\n",
              "      <td>0.69</td>\n",
              "      <td>0.54</td>\n",
              "      <td>-0.99</td>\n",
              "      <td>0.41</td>\n",
              "      <td>-0.81</td>\n",
              "      <td>-0.82</td>\n",
              "      <td>1.56</td>\n",
              "      <td>1.47</td>\n",
              "      <td>0.00</td>\n",
              "      <td>44.4</td>\n",
              "      <td>40.7</td>\n",
              "      <td>32.2</td>\n",
              "      <td>63.8</td>\n",
              "      <td>59.6</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MI</th>\n",
              "      <td>-0.18</td>\n",
              "      <td>0.20</td>\n",
              "      <td>0.11</td>\n",
              "      <td>-0.42</td>\n",
              "      <td>0.31</td>\n",
              "      <td>-0.14</td>\n",
              "      <td>-0.29</td>\n",
              "      <td>0.33</td>\n",
              "      <td>-0.82</td>\n",
              "      <td>1.01</td>\n",
              "      <td>-0.27</td>\n",
              "      <td>-0.58</td>\n",
              "      <td>-0.85</td>\n",
              "      <td>1.06</td>\n",
              "      <td>-0.63</td>\n",
              "      <td>1.30</td>\n",
              "      <td>-0.20</td>\n",
              "      <td>-0.45</td>\n",
              "      <td>-0.20</td>\n",
              "      <td>-0.18</td>\n",
              "      <td>55.2</td>\n",
              "      <td>54.7</td>\n",
              "      <td>53.0</td>\n",
              "      <td>48.6</td>\n",
              "      <td>43.4</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MN</th>\n",
              "      <td>0.16</td>\n",
              "      <td>-0.14</td>\n",
              "      <td>-0.36</td>\n",
              "      <td>-0.03</td>\n",
              "      <td>-0.65</td>\n",
              "      <td>0.63</td>\n",
              "      <td>1.12</td>\n",
              "      <td>-0.17</td>\n",
              "      <td>0.77</td>\n",
              "      <td>0.66</td>\n",
              "      <td>-0.51</td>\n",
              "      <td>-0.58</td>\n",
              "      <td>0.05</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>-0.24</td>\n",
              "      <td>0.58</td>\n",
              "      <td>-0.71</td>\n",
              "      <td>0.56</td>\n",
              "      <td>0.46</td>\n",
              "      <td>-0.32</td>\n",
              "      <td>52.9</td>\n",
              "      <td>61.6</td>\n",
              "      <td>52.5</td>\n",
              "      <td>43.4</td>\n",
              "      <td>38.5</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MS</th>\n",
              "      <td>-1.27</td>\n",
              "      <td>-0.23</td>\n",
              "      <td>1.58</td>\n",
              "      <td>-1.83</td>\n",
              "      <td>0.21</td>\n",
              "      <td>-1.38</td>\n",
              "      <td>-1.14</td>\n",
              "      <td>0.73</td>\n",
              "      <td>0.01</td>\n",
              "      <td>-1.30</td>\n",
              "      <td>-1.07</td>\n",
              "      <td>-0.62</td>\n",
              "      <td>-1.23</td>\n",
              "      <td>1.69</td>\n",
              "      <td>-1.34</td>\n",
              "      <td>-0.34</td>\n",
              "      <td>0.73</td>\n",
              "      <td>-0.46</td>\n",
              "      <td>-1.77</td>\n",
              "      <td>-1.72</td>\n",
              "      <td>56.8</td>\n",
              "      <td>63.3</td>\n",
              "      <td>59.7</td>\n",
              "      <td>52.0</td>\n",
              "      <td>46.2</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MO</th>\n",
              "      <td>-0.47</td>\n",
              "      <td>-0.31</td>\n",
              "      <td>-0.36</td>\n",
              "      <td>-0.29</td>\n",
              "      <td>-0.05</td>\n",
              "      <td>-0.28</td>\n",
              "      <td>0.26</td>\n",
              "      <td>-1.04</td>\n",
              "      <td>-0.46</td>\n",
              "      <td>2.49</td>\n",
              "      <td>-0.36</td>\n",
              "      <td>-0.98</td>\n",
              "      <td>-0.24</td>\n",
              "      <td>0.32</td>\n",
              "      <td>-0.77</td>\n",
              "      <td>0.63</td>\n",
              "      <td>1.94</td>\n",
              "      <td>-0.63</td>\n",
              "      <td>-0.30</td>\n",
              "      <td>-0.22</td>\n",
              "      <td>62.9</td>\n",
              "      <td>59.3</td>\n",
              "      <td>60.8</td>\n",
              "      <td>48.3</td>\n",
              "      <td>45.7</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>MT</th>\n",
              "      <td>-0.91</td>\n",
              "      <td>1.09</td>\n",
              "      <td>-0.84</td>\n",
              "      <td>0.84</td>\n",
              "      <td>-0.89</td>\n",
              "      <td>-0.89</td>\n",
              "      <td>-0.09</td>\n",
              "      <td>-1.67</td>\n",
              "      <td>1.05</td>\n",
              "      <td>-0.85</td>\n",
              "      <td>-1.57</td>\n",
              "      <td>-0.42</td>\n",
              "      <td>-0.51</td>\n",
              "      <td>-0.59</td>\n",
              "      <td>1.72</td>\n",
              "      <td>0.54</td>\n",
              "      <td>-0.19</td>\n",
              "      <td>-0.12</td>\n",
              "      <td>0.50</td>\n",
              "      <td>0.93</td>\n",
              "      <td>33.1</td>\n",
              "      <td>52.3</td>\n",
              "      <td>56.1</td>\n",
              "      <td>43.0</td>\n",
              "      <td>55.0</td>\n",
              "      <td>1</td>\n",
              "      <td>4</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>NE</th>\n",
              "      <td>-0.12</td>\n",
              "      <td>0.34</td>\n",
              "      <td>1.37</td>\n",
              "      <td>-0.17</td>\n",
              "      <td>0.05</td>\n",
              "      <td>-0.39</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>-1.03</td>\n",
              "      <td>-0.58</td>\n",
              "      <td>-0.34</td>\n",
              "      <td>-0.17</td>\n",
              "      <td>-0.96</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>0.46</td>\n",
              "      <td>-0.26</td>\n",
              "      <td>2.10</td>\n",
              "      <td>-0.01</td>\n",
              "      <td>0.40</td>\n",
              "      <td>0.15</td>\n",
              "      <td>0.38</td>\n",
              "      <td>60.0</td>\n",
              "      <td>62.9</td>\n",
              "      <td>64.3</td>\n",
              "      <td>41.6</td>\n",
              "      <td>34.3</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>NV</th>\n",
              "      <td>-0.64</td>\n",
              "      <td>-1.70</td>\n",
              "      <td>-1.96</td>\n",
              "      <td>-0.24</td>\n",
              "      <td>0.30</td>\n",
              "      <td>0.25</td>\n",
              "      <td>0.10</td>\n",
              "      <td>1.53</td>\n",
              "      <td>1.25</td>\n",
              "      <td>0.83</td>\n",
              "      <td>0.80</td>\n",
              "      <td>-0.11</td>\n",
              "      <td>0.47</td>\n",
              "      <td>2.00</td>\n",
              "      <td>-0.11</td>\n",
              "      <td>-0.81</td>\n",
              "      <td>1.26</td>\n",
              "      <td>-1.39</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>0.38</td>\n",
              "      <td>46.4</td>\n",
              "      <td>31.8</td>\n",
              "      <td>55.8</td>\n",
              "      <td>44.0</td>\n",
              "      <td>61.3</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>NH</th>\n",
              "      <td>-0.16</td>\n",
              "      <td>0.12</td>\n",
              "      <td>1.27</td>\n",
              "      <td>1.67</td>\n",
              "      <td>-0.40</td>\n",
              "      <td>0.42</td>\n",
              "      <td>1.27</td>\n",
              "      <td>-1.18</td>\n",
              "      <td>-0.48</td>\n",
              "      <td>0.84</td>\n",
              "      <td>-0.29</td>\n",
              "      <td>0.30</td>\n",
              "      <td>1.09</td>\n",
              "      <td>-1.34</td>\n",
              "      <td>2.03</td>\n",
              "      <td>-0.20</td>\n",
              "      <td>-1.45</td>\n",
              "      <td>1.35</td>\n",
              "      <td>1.52</td>\n",
              "      <td>1.15</td>\n",
              "      <td>40.2</td>\n",
              "      <td>53.5</td>\n",
              "      <td>38.0</td>\n",
              "      <td>61.8</td>\n",
              "      <td>48.7</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>NJ</th>\n",
              "      <td>1.42</td>\n",
              "      <td>-0.31</td>\n",
              "      <td>0.48</td>\n",
              "      <td>0.32</td>\n",
              "      <td>0.84</td>\n",
              "      <td>1.48</td>\n",
              "      <td>1.06</td>\n",
              "      <td>0.91</td>\n",
              "      <td>0.10</td>\n",
              "      <td>1.39</td>\n",
              "      <td>2.60</td>\n",
              "      <td>0.73</td>\n",
              "      <td>-0.57</td>\n",
              "      <td>-0.15</td>\n",
              "      <td>-0.14</td>\n",
              "      <td>-1.22</td>\n",
              "      <td>-0.40</td>\n",
              "      <td>0.85</td>\n",
              "      <td>-0.07</td>\n",
              "      <td>-0.17</td>\n",
              "      <td>59.9</td>\n",
              "      <td>44.6</td>\n",
              "      <td>40.8</td>\n",
              "      <td>56.4</td>\n",
              "      <td>57.6</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>NM</th>\n",
              "      <td>-0.39</td>\n",
              "      <td>0.70</td>\n",
              "      <td>-1.28</td>\n",
              "      <td>0.20</td>\n",
              "      <td>-1.04</td>\n",
              "      <td>-1.12</td>\n",
              "      <td>-0.07</td>\n",
              "      <td>-1.14</td>\n",
              "      <td>0.92</td>\n",
              "      <td>-1.02</td>\n",
              "      <td>-0.44</td>\n",
              "      <td>0.53</td>\n",
              "      <td>0.39</td>\n",
              "      <td>-0.01</td>\n",
              "      <td>0.03</td>\n",
              "      <td>-0.44</td>\n",
              "      <td>-0.84</td>\n",
              "      <td>-0.06</td>\n",
              "      <td>1.64</td>\n",
              "      <td>0.09</td>\n",
              "      <td>32.4</td>\n",
              "      <td>45.4</td>\n",
              "      <td>58.5</td>\n",
              "      <td>51.6</td>\n",
              "      <td>62.0</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>NY</th>\n",
              "      <td>2.03</td>\n",
              "      <td>0.04</td>\n",
              "      <td>0.74</td>\n",
              "      <td>0.44</td>\n",
              "      <td>0.93</td>\n",
              "      <td>2.46</td>\n",
              "      <td>-0.95</td>\n",
              "      <td>2.12</td>\n",
              "      <td>-0.68</td>\n",
              "      <td>1.46</td>\n",
              "      <td>1.38</td>\n",
              "      <td>1.29</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>-0.31</td>\n",
              "      <td>-1.13</td>\n",
              "      <td>0.48</td>\n",
              "      <td>0.76</td>\n",
              "      <td>-0.11</td>\n",
              "      <td>-0.51</td>\n",
              "      <td>47.0</td>\n",
              "      <td>29.8</td>\n",
              "      <td>37.7</td>\n",
              "      <td>62.7</td>\n",
              "      <td>64.5</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>NC</th>\n",
              "      <td>0.25</td>\n",
              "      <td>0.51</td>\n",
              "      <td>0.63</td>\n",
              "      <td>-0.24</td>\n",
              "      <td>1.21</td>\n",
              "      <td>0.20</td>\n",
              "      <td>0.99</td>\n",
              "      <td>0.06</td>\n",
              "      <td>0.03</td>\n",
              "      <td>-0.93</td>\n",
              "      <td>0.02</td>\n",
              "      <td>0.95</td>\n",
              "      <td>0.15</td>\n",
              "      <td>-0.22</td>\n",
              "      <td>-0.59</td>\n",
              "      <td>-0.61</td>\n",
              "      <td>0.93</td>\n",
              "      <td>-0.35</td>\n",
              "      <td>-0.21</td>\n",
              "      <td>-0.89</td>\n",
              "      <td>51.0</td>\n",
              "      <td>63.6</td>\n",
              "      <td>68.4</td>\n",
              "      <td>44.8</td>\n",
              "      <td>49.6</td>\n",
              "      <td>2</td>\n",
              "      <td>3</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>ND</th>\n",
              "      <td>-1.26</td>\n",
              "      <td>-0.45</td>\n",
              "      <td>-0.33</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>-0.25</td>\n",
              "      <td>-1.02</td>\n",
              "      <td>-1.30</td>\n",
              "      <td>-0.55</td>\n",
              "      <td>2.08</td>\n",
              "      <td>0.06</td>\n",
              "      <td>-1.16</td>\n",
              "      <td>-1.11</td>\n",
              "      <td>-1.39</td>\n",
              "      <td>1.51</td>\n",
              "      <td>0.46</td>\n",
              "      <td>1.65</td>\n",
              "      <td>-1.26</td>\n",
              "      <td>-0.66</td>\n",
              "      <td>-1.49</td>\n",
              "      <td>0.03</td>\n",
              "      <td>52.4</td>\n",
              "      <td>52.4</td>\n",
              "      <td>51.4</td>\n",
              "      <td>49.6</td>\n",
              "      <td>21.8</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>OH</th>\n",
              "      <td>-0.21</td>\n",
              "      <td>0.31</td>\n",
              "      <td>-0.16</td>\n",
              "      <td>0.04</td>\n",
              "      <td>-0.22</td>\n",
              "      <td>0.06</td>\n",
              "      <td>-0.35</td>\n",
              "      <td>0.55</td>\n",
              "      <td>0.18</td>\n",
              "      <td>0.23</td>\n",
              "      <td>-0.39</td>\n",
              "      <td>-0.41</td>\n",
              "      <td>-0.47</td>\n",
              "      <td>-0.67</td>\n",
              "      <td>-0.44</td>\n",
              "      <td>0.62</td>\n",
              "      <td>-0.70</td>\n",
              "      <td>-0.22</td>\n",
              "      <td>0.04</td>\n",
              "      <td>-0.23</td>\n",
              "      <td>54.6</td>\n",
              "      <td>45.9</td>\n",
              "      <td>46.5</td>\n",
              "      <td>58.5</td>\n",
              "      <td>46.0</td>\n",
              "      <td>3</td>\n",
              "      <td>2</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>OK</th>\n",
              "      <td>-0.79</td>\n",
              "      <td>-0.79</td>\n",
              "      <td>-0.58</td>\n",
              "      <td>-0.83</td>\n",
              "      <td>-0.89</td>\n",
              "      <td>-0.49</td>\n",
              "      <td>0.31</td>\n",
              "      <td>1.61</td>\n",
              "      <td>-1.24</td>\n",
              "      <td>-1.16</td>\n",
              "      <td>-0.49</td>\n",
              "      <td>0.80</td>\n",
              "      <td>-0.48</td>\n",
              "      <td>1.96</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>-0.07</td>\n",
              "      <td>1.13</td>\n",
              "      <td>-0.58</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>-0.43</td>\n",
              "      <td>39.7</td>\n",
              "      <td>54.3</td>\n",
              "      <td>54.7</td>\n",
              "      <td>52.1</td>\n",
              "      <td>42.2</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>7</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>OR</th>\n",
              "      <td>-0.06</td>\n",
              "      <td>-1.04</td>\n",
              "      <td>-1.73</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>-1.94</td>\n",
              "      <td>-0.85</td>\n",
              "      <td>-2.40</td>\n",
              "      <td>0.00</td>\n",
              "      <td>-2.56</td>\n",
              "      <td>-0.39</td>\n",
              "      <td>1.86</td>\n",
              "      <td>-0.31</td>\n",
              "      <td>0.36</td>\n",
              "      <td>-2.34</td>\n",
              "      <td>0.16</td>\n",
              "      <td>-1.60</td>\n",
              "      <td>-0.86</td>\n",
              "      <td>-2.55</td>\n",
              "      <td>-0.03</td>\n",
              "      <td>-0.62</td>\n",
              "      <td>30.9</td>\n",
              "      <td>59.1</td>\n",
              "      <td>45.8</td>\n",
              "      <td>39.5</td>\n",
              "      <td>58.8</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "      <td>9</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>PA</th>\n",
              "      <td>0.35</td>\n",
              "      <td>0.55</td>\n",
              "      <td>1.24</td>\n",
              "      <td>0.21</td>\n",
              "      <td>0.30</td>\n",
              "      <td>0.68</td>\n",
              "      <td>0.10</td>\n",
              "      <td>-0.22</td>\n",
              "      <td>0.77</td>\n",
              "      <td>1.66</td>\n",
              "      <td>0.08</td>\n",
              "      <td>0.28</td>\n",
              "      <td>-0.42</td>\n",
              "      <td>-0.67</td>\n",
              "      <td>0.46</td>\n",
              "      <td>0.48</td>\n",
              "      <td>-0.93</td>\n",
              "      <td>0.28</td>\n",
              "      <td>0.13</td>\n",
              "      <td>-0.16</td>\n",
              "      <td>54.6</td>\n",
              "      <td>42.8</td>\n",
              "      <td>52.4</td>\n",
              "      <td>61.4</td>\n",
              "      <td>49.6</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>RI</th>\n",
              "      <td>1.34</td>\n",
              "      <td>0.51</td>\n",
              "      <td>0.67</td>\n",
              "      <td>0.37</td>\n",
              "      <td>-0.29</td>\n",
              "      <td>0.42</td>\n",
              "      <td>0.82</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>0.22</td>\n",
              "      <td>1.22</td>\n",
              "      <td>0.56</td>\n",
              "      <td>0.67</td>\n",
              "      <td>0.07</td>\n",
              "      <td>-0.83</td>\n",
              "      <td>0.35</td>\n",
              "      <td>-0.44</td>\n",
              "      <td>-1.68</td>\n",
              "      <td>0.76</td>\n",
              "      <td>-0.10</td>\n",
              "      <td>0.46</td>\n",
              "      <td>43.3</td>\n",
              "      <td>35.2</td>\n",
              "      <td>48.5</td>\n",
              "      <td>61.9</td>\n",
              "      <td>59.4</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>SC</th>\n",
              "      <td>-0.59</td>\n",
              "      <td>-0.86</td>\n",
              "      <td>0.77</td>\n",
              "      <td>-1.22</td>\n",
              "      <td>0.56</td>\n",
              "      <td>-0.53</td>\n",
              "      <td>0.25</td>\n",
              "      <td>-0.33</td>\n",
              "      <td>-0.28</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>-0.23</td>\n",
              "      <td>-0.66</td>\n",
              "      <td>-0.50</td>\n",
              "      <td>0.39</td>\n",
              "      <td>-0.89</td>\n",
              "      <td>-0.49</td>\n",
              "      <td>1.07</td>\n",
              "      <td>-0.04</td>\n",
              "      <td>-1.19</td>\n",
              "      <td>-0.76</td>\n",
              "      <td>60.0</td>\n",
              "      <td>55.4</td>\n",
              "      <td>69.6</td>\n",
              "      <td>45.7</td>\n",
              "      <td>55.3</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>SD</th>\n",
              "      <td>-0.64</td>\n",
              "      <td>-0.02</td>\n",
              "      <td>-0.88</td>\n",
              "      <td>-0.37</td>\n",
              "      <td>-0.63</td>\n",
              "      <td>-1.24</td>\n",
              "      <td>-0.65</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>2.09</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>-1.28</td>\n",
              "      <td>-0.96</td>\n",
              "      <td>-1.08</td>\n",
              "      <td>0.97</td>\n",
              "      <td>0.15</td>\n",
              "      <td>1.97</td>\n",
              "      <td>-1.25</td>\n",
              "      <td>-1.30</td>\n",
              "      <td>-1.18</td>\n",
              "      <td>0.55</td>\n",
              "      <td>58.7</td>\n",
              "      <td>56.7</td>\n",
              "      <td>55.8</td>\n",
              "      <td>36.1</td>\n",
              "      <td>41.9</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>TN</th>\n",
              "      <td>-0.47</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>-0.17</td>\n",
              "      <td>-0.54</td>\n",
              "      <td>0.84</td>\n",
              "      <td>-0.09</td>\n",
              "      <td>0.49</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>-0.91</td>\n",
              "      <td>-1.04</td>\n",
              "      <td>-0.71</td>\n",
              "      <td>-0.27</td>\n",
              "      <td>-0.30</td>\n",
              "      <td>0.37</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>-0.53</td>\n",
              "      <td>1.40</td>\n",
              "      <td>0.06</td>\n",
              "      <td>-0.66</td>\n",
              "      <td>-0.78</td>\n",
              "      <td>51.3</td>\n",
              "      <td>66.6</td>\n",
              "      <td>62.0</td>\n",
              "      <td>49.0</td>\n",
              "      <td>50.1</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>TX</th>\n",
              "      <td>-0.18</td>\n",
              "      <td>-0.80</td>\n",
              "      <td>0.32</td>\n",
              "      <td>-0.91</td>\n",
              "      <td>0.12</td>\n",
              "      <td>-0.06</td>\n",
              "      <td>-0.89</td>\n",
              "      <td>1.25</td>\n",
              "      <td>-0.12</td>\n",
              "      <td>-0.73</td>\n",
              "      <td>0.76</td>\n",
              "      <td>-0.24</td>\n",
              "      <td>-0.65</td>\n",
              "      <td>1.96</td>\n",
              "      <td>-1.00</td>\n",
              "      <td>-0.78</td>\n",
              "      <td>2.05</td>\n",
              "      <td>-1.31</td>\n",
              "      <td>-0.65</td>\n",
              "      <td>-0.79</td>\n",
              "      <td>55.2</td>\n",
              "      <td>52.3</td>\n",
              "      <td>54.4</td>\n",
              "      <td>44.3</td>\n",
              "      <td>52.7</td>\n",
              "      <td>3</td>\n",
              "      <td>3</td>\n",
              "      <td>7</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>UT</th>\n",
              "      <td>0.36</td>\n",
              "      <td>1.17</td>\n",
              "      <td>-1.67</td>\n",
              "      <td>2.63</td>\n",
              "      <td>2.40</td>\n",
              "      <td>0.09</td>\n",
              "      <td>1.65</td>\n",
              "      <td>1.42</td>\n",
              "      <td>-1.11</td>\n",
              "      <td>-1.50</td>\n",
              "      <td>-0.20</td>\n",
              "      <td>4.79</td>\n",
              "      <td>-0.03</td>\n",
              "      <td>-0.43</td>\n",
              "      <td>0.96</td>\n",
              "      <td>1.37</td>\n",
              "      <td>0.03</td>\n",
              "      <td>-1.08</td>\n",
              "      <td>1.91</td>\n",
              "      <td>2.63</td>\n",
              "      <td>55.8</td>\n",
              "      <td>69.4</td>\n",
              "      <td>54.5</td>\n",
              "      <td>30.4</td>\n",
              "      <td>47.7</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>VT</th>\n",
              "      <td>-0.04</td>\n",
              "      <td>0.38</td>\n",
              "      <td>2.36</td>\n",
              "      <td>0.29</td>\n",
              "      <td>-1.54</td>\n",
              "      <td>-0.33</td>\n",
              "      <td>-1.06</td>\n",
              "      <td>-1.04</td>\n",
              "      <td>-0.84</td>\n",
              "      <td>1.10</td>\n",
              "      <td>0.86</td>\n",
              "      <td>1.62</td>\n",
              "      <td>2.09</td>\n",
              "      <td>-2.10</td>\n",
              "      <td>3.21</td>\n",
              "      <td>-0.16</td>\n",
              "      <td>-0.95</td>\n",
              "      <td>1.75</td>\n",
              "      <td>1.98</td>\n",
              "      <td>1.11</td>\n",
              "      <td>26.5</td>\n",
              "      <td>60.0</td>\n",
              "      <td>38.2</td>\n",
              "      <td>55.8</td>\n",
              "      <td>54.2</td>\n",
              "      <td>3</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>VA</th>\n",
              "      <td>0.85</td>\n",
              "      <td>-0.21</td>\n",
              "      <td>-1.22</td>\n",
              "      <td>-1.72</td>\n",
              "      <td>-0.74</td>\n",
              "      <td>-0.36</td>\n",
              "      <td>-1.11</td>\n",
              "      <td>-1.17</td>\n",
              "      <td>-0.96</td>\n",
              "      <td>-0.74</td>\n",
              "      <td>2.56</td>\n",
              "      <td>-0.15</td>\n",
              "      <td>-0.62</td>\n",
              "      <td>-1.31</td>\n",
              "      <td>-0.71</td>\n",
              "      <td>-1.62</td>\n",
              "      <td>-0.92</td>\n",
              "      <td>-0.29</td>\n",
              "      <td>-0.42</td>\n",
              "      <td>-1.56</td>\n",
              "      <td>48.5</td>\n",
              "      <td>47.4</td>\n",
              "      <td>45.3</td>\n",
              "      <td>44.7</td>\n",
              "      <td>57.1</td>\n",
              "      <td>2</td>\n",
              "      <td>3</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>WA</th>\n",
              "      <td>2.09</td>\n",
              "      <td>-0.13</td>\n",
              "      <td>0.00</td>\n",
              "      <td>2.40</td>\n",
              "      <td>-1.09</td>\n",
              "      <td>0.40</td>\n",
              "      <td>-0.04</td>\n",
              "      <td>-0.41</td>\n",
              "      <td>0.52</td>\n",
              "      <td>-0.39</td>\n",
              "      <td>-0.06</td>\n",
              "      <td>-0.12</td>\n",
              "      <td>2.09</td>\n",
              "      <td>-0.28</td>\n",
              "      <td>1.22</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.68</td>\n",
              "      <td>0.32</td>\n",
              "      <td>1.94</td>\n",
              "      <td>1.82</td>\n",
              "      <td>30.6</td>\n",
              "      <td>55.8</td>\n",
              "      <td>45.0</td>\n",
              "      <td>36.9</td>\n",
              "      <td>56.6</td>\n",
              "      <td>2</td>\n",
              "      <td>4</td>\n",
              "      <td>9</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>WV</th>\n",
              "      <td>-0.82</td>\n",
              "      <td>-0.65</td>\n",
              "      <td>-0.26</td>\n",
              "      <td>-0.91</td>\n",
              "      <td>-1.67</td>\n",
              "      <td>-1.22</td>\n",
              "      <td>-2.20</td>\n",
              "      <td>-1.03</td>\n",
              "      <td>-0.46</td>\n",
              "      <td>-0.39</td>\n",
              "      <td>-1.05</td>\n",
              "      <td>-0.67</td>\n",
              "      <td>-0.69</td>\n",
              "      <td>-0.27</td>\n",
              "      <td>0.94</td>\n",
              "      <td>0.80</td>\n",
              "      <td>-0.97</td>\n",
              "      <td>0.56</td>\n",
              "      <td>-1.19</td>\n",
              "      <td>0.62</td>\n",
              "      <td>38.5</td>\n",
              "      <td>51.8</td>\n",
              "      <td>42.6</td>\n",
              "      <td>79.2</td>\n",
              "      <td>36.8</td>\n",
              "      <td>3</td>\n",
              "      <td>3</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>WI</th>\n",
              "      <td>-0.30</td>\n",
              "      <td>-0.19</td>\n",
              "      <td>-0.75</td>\n",
              "      <td>0.16</td>\n",
              "      <td>-0.53</td>\n",
              "      <td>-0.38</td>\n",
              "      <td>-0.50</td>\n",
              "      <td>-0.43</td>\n",
              "      <td>1.87</td>\n",
              "      <td>0.89</td>\n",
              "      <td>-0.48</td>\n",
              "      <td>-0.74</td>\n",
              "      <td>0.10</td>\n",
              "      <td>-0.61</td>\n",
              "      <td>-0.14</td>\n",
              "      <td>1.86</td>\n",
              "      <td>-1.05</td>\n",
              "      <td>-0.64</td>\n",
              "      <td>-0.10</td>\n",
              "      <td>-0.01</td>\n",
              "      <td>69.8</td>\n",
              "      <td>57.8</td>\n",
              "      <td>47.6</td>\n",
              "      <td>48.6</td>\n",
              "      <td>35.7</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>WY</th>\n",
              "      <td>-1.17</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.78</td>\n",
              "      <td>-0.64</td>\n",
              "      <td>-1.06</td>\n",
              "      <td>-1.27</td>\n",
              "      <td>-0.27</td>\n",
              "      <td>-1.72</td>\n",
              "      <td>1.09</td>\n",
              "      <td>-1.12</td>\n",
              "      <td>-1.38</td>\n",
              "      <td>0.53</td>\n",
              "      <td>-0.86</td>\n",
              "      <td>0.65</td>\n",
              "      <td>1.06</td>\n",
              "      <td>0.50</td>\n",
              "      <td>-0.47</td>\n",
              "      <td>-0.35</td>\n",
              "      <td>-0.79</td>\n",
              "      <td>1.32</td>\n",
              "      <td>46.0</td>\n",
              "      <td>40.7</td>\n",
              "      <td>42.4</td>\n",
              "      <td>46.1</td>\n",
              "      <td>42.4</td>\n",
              "      <td>1</td>\n",
              "      <td>4</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "            data science  cluster analysis  ...  region  division\n",
              "state_code                                  ...                  \n",
              "AL                 -1.00             -0.13  ...       3         6\n",
              "AZ                 -0.42             -0.73  ...       4         8\n",
              "AR                 -0.66             -0.39  ...       3         7\n",
              "CA                  1.95             -0.62  ...       4         9\n",
              "CO                  0.34              0.00  ...       4         8\n",
              "CT                  0.69              1.28  ...       1         1\n",
              "DE                  0.45              2.91  ...       3         5\n",
              "FL                 -0.73             -1.38  ...       3         5\n",
              "GA                 -0.27             -0.57  ...       3         5\n",
              "ID                 -0.67             -1.12  ...       4         8\n",
              "IL                  0.87              0.79  ...       2         3\n",
              "IN                  0.01              0.65  ...       2         3\n",
              "IA                 -0.26              0.02  ...       2         4\n",
              "KS                 -0.73             -0.96  ...       2         4\n",
              "KY                 -0.65             -0.96  ...       3         6\n",
              "LA                 -1.08             -1.02  ...       3         7\n",
              "ME                 -0.79             -1.00  ...       1         1\n",
              "MD                  2.00              2.57  ...       3         5\n",
              "MA                  2.73              2.53  ...       1         1\n",
              "MI                 -0.18              0.20  ...       2         3\n",
              "MN                  0.16             -0.14  ...       2         4\n",
              "MS                 -1.27             -0.23  ...       3         6\n",
              "MO                 -0.47             -0.31  ...       2         4\n",
              "MT                 -0.91              1.09  ...       4         8\n",
              "NE                 -0.12              0.34  ...       2         4\n",
              "NV                 -0.64             -1.70  ...       4         8\n",
              "NH                 -0.16              0.12  ...       1         1\n",
              "NJ                  1.42             -0.31  ...       1         2\n",
              "NM                 -0.39              0.70  ...       4         8\n",
              "NY                  2.03              0.04  ...       1         2\n",
              "NC                  0.25              0.51  ...       3         5\n",
              "ND                 -1.26             -0.45  ...       2         4\n",
              "OH                 -0.21              0.31  ...       2         3\n",
              "OK                 -0.79             -0.79  ...       3         7\n",
              "OR                 -0.06             -1.04  ...       4         9\n",
              "PA                  0.35              0.55  ...       1         2\n",
              "RI                  1.34              0.51  ...       1         1\n",
              "SC                 -0.59             -0.86  ...       3         5\n",
              "SD                 -0.64             -0.02  ...       2         4\n",
              "TN                 -0.47             -0.73  ...       3         6\n",
              "TX                 -0.18             -0.80  ...       3         7\n",
              "UT                  0.36              1.17  ...       4         8\n",
              "VT                 -0.04              0.38  ...       1         1\n",
              "VA                  0.85             -0.21  ...       3         5\n",
              "WA                  2.09             -0.13  ...       4         9\n",
              "WV                 -0.82             -0.65  ...       3         5\n",
              "WI                 -0.30             -0.19  ...       2         3\n",
              "WY                 -1.17              0.17  ...       4         8\n",
              "\n",
              "[48 rows x 28 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 43
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "amhPryWj2VZT",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# importing required librery for Clustering data\n",
        "# from sklearn.preprocessing import scale\n",
        "# from sklearn.decomposition import PCA\n",
        "from matplotlib import pyplot as plt\n",
        "from scipy.cluster.hierarchy import dendrogram, linkage"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wrq-lPuD6a_5",
        "colab_type": "text"
      },
      "source": [
        "### main analysis:\n",
        "Creating a 'linlage matrix' for clustering which we imported from scipy library "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "st6fpx0n4E3C",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "linkage_matrix = linkage(data_inc, 'ward')\n",
        "# Perform Ward’s linkage on a condensed distance matrix."
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UD_EUVb17RTi",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 816
        },
        "outputId": "1b11c3d7-bc76-4dfd-f74a-b6b87940b976"
      },
      "source": [
        "linkage_matrix"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[  0.        ,  19.        ,   6.6479997 ,   2.        ],\n",
              "       [  1.        ,   4.        ,   8.2426634 ,   2.        ],\n",
              "       [ 32.        ,  35.        ,   8.70851882,   2.        ],\n",
              "       [ 30.        ,  39.        ,   8.79376484,   2.        ],\n",
              "       [ 11.        ,  14.        ,   9.33453266,   2.        ],\n",
              "       [ 12.        ,  46.        ,   9.41873134,   2.        ],\n",
              "       [ 34.        ,  44.        ,   9.71345459,   2.        ],\n",
              "       [  8.        ,  37.        ,  10.08061506,   2.        ],\n",
              "       [ 21.        ,  22.        ,  10.57154199,   2.        ],\n",
              "       [  5.        ,  27.        ,  10.93411633,   2.        ],\n",
              "       [ 13.        ,  33.        ,  11.18536097,   2.        ],\n",
              "       [ 20.        ,  38.        ,  12.50320359,   2.        ],\n",
              "       [  7.        ,  55.        ,  12.86628151,   3.        ],\n",
              "       [ 50.        ,  52.        ,  13.08690949,   4.        ],\n",
              "       [ 10.        ,  40.        ,  13.23779816,   2.        ],\n",
              "       [  3.        ,  43.        ,  13.64373483,   2.        ],\n",
              "       [ 23.        ,  28.        ,  13.74124449,   2.        ],\n",
              "       [ 18.        ,  29.        ,  14.40427714,   2.        ],\n",
              "       [  9.        ,  47.        ,  14.55865035,   2.        ],\n",
              "       [ 15.        ,  61.        ,  15.42070167,   5.        ],\n",
              "       [ 24.        ,  59.        ,  15.77350204,   3.        ],\n",
              "       [ 48.        ,  56.        ,  16.12887473,   4.        ],\n",
              "       [ 36.        ,  65.        ,  16.90677182,   3.        ],\n",
              "       [  2.        ,  26.        ,  17.31484912,   2.        ],\n",
              "       [ 58.        ,  66.        ,  18.73888204,   4.        ],\n",
              "       [  6.        ,  71.        ,  19.05441681,   3.        ],\n",
              "       [ 25.        ,  49.        ,  21.51916588,   3.        ],\n",
              "       [ 62.        ,  69.        ,  21.73397954,   6.        ],\n",
              "       [ 17.        ,  70.        ,  22.51055789,   4.        ],\n",
              "       [ 31.        ,  53.        ,  23.03925418,   3.        ],\n",
              "       [ 41.        ,  68.        ,  23.93178918,   4.        ],\n",
              "       [ 63.        ,  74.        ,  25.35120865,   5.        ],\n",
              "       [ 54.        ,  64.        ,  25.5204036 ,   4.        ],\n",
              "       [ 51.        ,  60.        ,  26.81570771,   5.        ],\n",
              "       [ 45.        ,  73.        ,  28.07440115,   4.        ],\n",
              "       [ 16.        ,  76.        ,  28.48363056,   5.        ],\n",
              "       [ 42.        ,  80.        ,  29.2847783 ,   5.        ],\n",
              "       [ 57.        ,  83.        ,  31.87098138,   7.        ],\n",
              "       [ 67.        ,  82.        ,  33.43160222,   9.        ],\n",
              "       [ 75.        ,  81.        ,  33.76792223,  11.        ],\n",
              "       [ 77.        ,  78.        ,  34.89442826,   7.        ],\n",
              "       [ 72.        ,  86.        ,  38.98755959,  13.        ],\n",
              "       [ 79.        ,  84.        ,  48.76744324,  10.        ],\n",
              "       [ 87.        ,  88.        ,  50.05413982,  18.        ],\n",
              "       [ 85.        ,  89.        ,  63.41432036,  20.        ],\n",
              "       [ 90.        ,  92.        ,  81.70380124,  30.        ],\n",
              "       [ 91.        ,  93.        , 116.73373552,  48.        ]])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 51
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AcQ601A38ZRS",
        "colab_type": "text"
      },
      "source": [
        "### Now plotting dendrogram on cluster matrix"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6Srb_zcZ8CsQ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 524
        },
        "outputId": "174d7643-e823-43b3-f4e3-131098be5ee1"
      },
      "source": [
        "plt.figure(figsize=(26, 10))\n",
        "plt.title('Clustering data')\n",
        "plt.xlabel('State Code')\n",
        "plt.ylabel('Distances')\n",
        "dendrogram(\n",
        "    linkage_matrix,\n",
        "    labels = data_inc.index,\n",
        "    leaf_rotation = 0.,\n",
        "    leaf_font_size = 18.,\n",
        ")\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1872x720 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ug6gTB8r-JQF",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}