7 - Plotting.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting\n",
    "\n",
    "## Basics\n",
    "There are a few different ways to plot in Julia (including calling PyPlot). <br>\n",
    "\n",
    "Here we'll show you how to use `Plots.jl`.  If it's not installed yet, you need to use the package manager to install it, and Julia will precompile it for you the first time you use it:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One of the advantages to `Plots.jl` is that it allows you to seamlessly change backends. In this notebook, we'll try out the `gr()` and `plotlyjs()` backends.<br>\n",
    "\n",
    "In the name of scientific inquiry, let's use this notebook to examine the relationship between the global temperature and the number of pirates between roughly 1860 and 2000."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/github-personal/Introduction-to-Julia/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/github-personal/Introduction-to-Julia/Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "using Pkg\n",
    "Pkg.add(\"Plots\")\n",
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "globaltemperatures = [14.4, 14.5, 14.8, 15.2, 15.5, 15.8]\n",
    "numpirates = [45000, 20000, 15000, 5000, 400, 17];"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plots supports multiple backends — that is, libraries that actually do the drawing — all with the same API. To start out, let's try the GR backend.  You choose it with a call to `gr()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Plots.GRBackend()"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gr()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and now we can use commands like `plot` and `scatter` to generate plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VEei5XlFR0c2bN2UyWZcuXbQzr127lpOTw0xLJJKQkJBS70pPT7937572Zfv27a2srJjpS5cuJSQk1K9fPzIykqKo6u9BOTCCAgAA9KFXEMbHx3fu3Nnd3f3Zs2dK5b/nWbNnzy4sLPTy8iKEuLu7vxmE0dHRy5cvb9u2LfOycePGTBBGRUUtWbJk6NChmzdv3rdv39atWw2zN4QQQh4+fDh32pTHN+9OEJBmjQO+/WFlo0aNDLh9AADgEoqmK7+QJpPJaJpOSUl5++23dYOwW7du48aNGzx4cHlvjIqKunz58vbt23VnlpSUeHp67t+/v0OHDq9evfLx8bl69Wp5WeXm5paUlOTq6qrPzhQUFDx69OjD9/p+07peSzc7QkhSVt7/XXm2ac/+4OBgfbYAugoKCmxsbNhuBXcUFhZaW1uz3QrukMvlIpGIz+ez3RCOUCgUhBCRSMR2Q1ig1zVCiUSi7dIsJSkp6Y8//rh161Z5733x4sXevXvj4uK0CZqYmEgICQ0NJYQ4Ojp26NDh+PHjVW54Ob6cNmVFiDeTgoSQ5q52P3bwmfvZp4baPgAAcIy+1wjLZG9vf+vWrYcPH8bExAwYMGDTpk2lty4QKJXK6Ojoa9eu8fn8P//808XF5fnz5+7u7trrgu7u7hkZGeV9RHFx8cqVK7W/oxs2bNi/f//yVlYqlU+fPA5o3kR3ZgOpVebzO7onsqAnpVKJ42ZAOJ6GpVQqKYrSaDRsN4QjmD/O2qjYYBefz+fxKjnlq1EQ7t27l5l4/vx5YGDgoEGDunfvrrvCpEmTJk2aRAhRq9W9e/f+5ptvVq9eTdO07rGmqIq6ZzUazevXr7VfHwUFBRX83Ze/iMb/lmrQaDQ4bgaE42lYzPHk3hc3W5g/Tu79iVaagqSGQajl4eHRunXrW7dulQpCLT6f36dPn927dxNC3N3ds7KytIsyMzODgoLK27JEIpk/f76e1wgVCoWbR71HuUUNpP925D7Okzm7uovFYn13Bv6hUChw3AxIqVTieBqQRqPBNUIDYn5S4Bph9RUWFiYnJ/v5+RFCFApFamrqm+tcvHixfv36hJDg4GCFQsFcKSwoKDh//nzXrl0N0gxCyLc/rpoe/+R2dgHz8m52wYQzad/+sNJQ2wcAAI7R64wwLy9v3LhxeXl5arV68ODBDg4O69evz8jI6NOnT3h4uFgs/t///te0adO+ffsSQpKSktq0aaNUKgUCQd++fd3d3d3c3K5cuXL16tULFy4QQiQSyezZs99///0PP/zw6NGjERERgYGBhtqfVq1a/Xrg6BdTP3l6+S5FKId63pkTDtg1bmGo7QMAAMfoNXyipKTk4MGD2peWlpa9e/dWq9UnT568ffu2Wq0ODAyMiIhgumJzcnJOnjz5/vvvUxR148aN+Pj4169fe3t79+3b187OTruRU6dOJSQk+Pn5DR48uILOjaoOn3iz3H/jXc2Gu5qLfQUizt5Fp7Zg+IRhYfiEYWH4hGGZ8/AJvYKQRTUPQkLI+3+qfazJ0jb4D1M1CELDQhAaFoLQsMw5CM3iLGl9KH9PCh3zzKgjHwAAWGEWQSgVk23h/DFn1dnFbDcFAACMjFkEISEk3J0a0oAad07NdkMAAMC4mEsQEkK+bcV/LqM33uXacFEAAKgJMwpCIY/seIc/76r67mtcLAQAgL+ZURASQvxtqYXB/GGxagVOCwEAgBBibkFICBnXmNfQjvoyARcLAQCAEDMMQkLI+lD+3lT6WDo6SAEAwCyDUComv3bijz2nzpKz3RQAAGCbOQYhIaSjG/VBQ2rMWRXOCgEAzJyZBiEhZFEw/1UJ2XAHZTMAAGbNfINQwCM7OvHnXVUn5+C0EADAfJlvEBJCGthSi1vzh8Wqi1FDCgBgrsw6CAkhHzXiNZNSXyYiCQEAzJS5ByEhZH0H/h+p9FGMpgAAMEsIQmIvIr914o89p8JoCgAAM4QgJISQMDdqVEPehxhNAQBgfhCEf1sYzM8pIesxmgIAwMwgCP/GjKaYj9EUAABmBkH4rwa21PdtMJoCAMC8IAj/Y0wAL9CBmotnUwAAmA0EYWnrQvn7H9NHMJoCAMA8IAhLsxeRX8P5486pMjGaAgDADCAIyxDmRn0YwPswDqMpAAC4D0FYtq/f5r9WkLW3MZoCAIDjEIRlE/DIjnf4X19T38RoCgAATkMQlqu+DbW0DX9YrFquYrspAABQaxCEFRkdwAtyoObg2RQAANyFIKzE2lD+gcf04SfoIAUA4CYEYSXsReS3cP748xhNAQDATQjCynVwoz5qhNEUAADchCDUy/yW/DwFWYPRFAAAnIMg1IuAR7a/w//mmjoJoykAALgFQaiv+jbU8rb8YX9iNAUAAKcgCKtgZENeC0dqNp5NAQDAIQjCqlkbyj/8hD70BBcLAQA4AkFYNXYi8lsn/oTzaoymAADgBgRhlYW6UmMb8UZjNAUAACcgCKtjXkt+voJE/YUOUgAAk4cgrA7m2RSLrmM0BQCAyUMQVpOfDbWiHUZTAACYPARh9X3gz2vhSM26gtEUAAAmDEFYI2tD+UfSMZoCAMCEIQhrRDuaIkPGdlMAAKBaEIQ1FepKjW+M0RQAAKYKQWgAX7XgF6rIylvoIAUAMD0IQgMQ8MiuzvwlSeobr3BaCABgYhCEhuFlRa0K4Q+PVcswmgIAwKQgCA1mkB+vpRM1E6MpAABMikD/VbOysp4+fdqoUSNra2tmTkZGxvPnz7UrBAUFCYXCUu968uRJUlKSSCRq3769ra0tMzMtLe3Vq1fMNI/Ha9myZfX3wJisD+W/Ha06+FjT1we/MAAATINeQUjTtI+PT3Z2tkKhiIuLCw0NZeZv2bJl1apV3t7ezMtjx445OzvrvnHp0qUrVqxo27ZtUVHRzZs3Dx8+3LZtW0LIvHnzzpw54+LiQgiRSCRnz5415D6xx1pIdnTi9zulau3Mc5ew3RoAANCDXkFIUdThw4ebNm3q5uZWatGgQYPWrFlT3hv79+8/depUsVhMCJk1a9a8efNOnDjBLJoxY8bUqVOr22zj1dqZmtCYPypOdaKngGK7MQAAUCl9e/CCgoIEgjJSMzc3Ny4u7tGjR2W+KyAggElBQoivr29hYaF2UWZmZlxc3LNnz6rYYBPwfy15Cg35CaMpAABMQRWuEZbpxo0bCxYsuHXrVuvWrf/44w9LS8syVysqKoqKipo2bRrzksfjnTx58sKFC9evXx82bNi6desoquzTp5KSkm3btmkvLjZu3DgsLKy8xqjVarXaKGpVfgkj7Q+pw13p5g5sN6UGjOd4cgOOp2HheBoWczC5d0h5PF55+aJF0XQVhr45OTkdOHBAe42wpKSEOeErKCjo2LHje++999VXX735LqVSOWjQIJFItHv3bqZB2jc+e/YsODg4Kipq0KBBZX6itbV13759tfnapEmTjz/+uLzmFRYWagt5WLf/CbXwJv98hEpS0x8brDGq48kBOJ6GJZfLRSIRn89nuyEcoVAoCCEikYjthhiYSCQqsztTV42+pLXdnjY2NgMHDkxISHhzHbVa/cEHH6jV6u3bt2tjWfvGevXqde/ePSEhoYIg/PHHH11dXfVpj1qtlkiMpUZleGNyIlM9L5m/NtRU/6Ma1fHkAI1Gg+NpQBRFIQgNiEkL7gWhPgxW5X/r1i0PDw9muqSkRKPREEI0Gs3o0aNzcnL27t1b5vHVaDS3b9/WvpFj1obyTz+nDzzGxUIAAOOl7xnhDz/88OLFC5lMtn79+kOHDs2cOdPR0XHo0KFNmjRxcnKKj48/duyY9ozQwcHhwIEDXbt2/fbbb3fv3j1p0qQFCxYQQmxtbefOnUvTdNeuXbt37y6RSA4fPvzq1avRo0fXzt6xzFpItv89moLykKCGFADAGOl7RmhnZyeVSufPnx8YGCiVSnk8HiFk5MiRJSUlt2/fDg4OvnfvXsOGDZmVly5d2qhRI0JI27ZtFy5c6OHhIZVKpVKpnZ0dIYSiqDFjxrx69erhw4fvvvtucnKyvb197ewd+1o7U5Oa8EfHqTW4CykAgFGqWrFM3XNzc0tKStLzGmFBQYGNjU1tN6mqNDTpclTV25s34y0Tu92McR5P04ViGcNCsYxhcbVYRh8m9tVsingU+a0Tf9lNdcJLo/7NAQBgnhCEdcHTilodwh9+Rl2oZLspAADwXwjCOjLQj9fehRq2LubdHl2CmzTsERby+/bfjLxfGgDAHCAI607909/krJ34mZviQI8G3zUW/7lm8YhBA9huFACAuUMQ1pFnz54d27Xt9x4NGkitCCGuVuIFbb1VaXdiY2PZbhoAgFlDENaRs2fPdq1nw/vvLe96eVrFHDnEVpMAAIAgCOtMSUmJBa/0FUELAV8ul7HSHgAAYCAI60jLli0vv1KUmnkxS9YqpAMr7QEAAAaCsI40b95cVK/+1lvPNf9Uih5Pyd7xVOPbqey7jQMAQN1AENad7fv2l7zdvefB22NiU/ocvnPB2n919Jl3z/B2p+Cu3AAArMEt1liQlZXl5OTE3BrqZg7d96R6dAC14G2ju1OUqRxPU4FbrBkWbrFmWLjFGtQpV1dX7f/eIAfqQl/+oSf0uHNqJc4MAQDqHIKQfR4SKq6XIEtOep1Q5ZWupwEAgNqFIDQK1kKyvxu/sT3V4ZDqcaFRd1YDAHAMgtBY8Cmyqj3/02a8DofwnAoAgLqDIDQu4xvzNoXx+55URT/GBUMAgLqAIDQ6EZ7UiZ6CqRc1C66p2W4LAAD3IQiNUZADdRGlpAAAdQJBaKRQSgoAUDcQhMYLpaQAAHUAQWjUmFLSsY14oYfUidnIQgAAw0MQmoCpgbzNYfw+J1QHUEoKAGBoCELTwJSSTkEpKQCAoSEITQZKSQEAagOC0JQwpaSZcro3SkkBAAwEQWhirIUkupsgwI7qcEj1BKWkAAA1hiA0PXyKRIXwxzbihaCUFACgxhCEpmpqIG9TB5SSAgDUFILQhPX0oo6jlBQAoGYQhKatuQN1oQ//4GN6/Hm1CmeGAABVhyA0efWsqLO9BRkyGnclBQCoBgQhF2hLScMOo5QUAKBqEIQcwZSSfhSAUlIAgKpBEHLK1EDe6hBeL5SSAgDoTcB2A8DA+vvw/GyofifVd1+T2c3xQwcAoBL4ouSg5g5UfB/+7hQNSkkBACqFIOQmppT0eRHd64QqX8l2awAAjBiCkLOsheRAd0FD3JUUAKBCCEIu41NkdQj/owBe6CH1VZSSAgCUBUHIfVMDeava8yJPqA6ilBQA4A2oGjUL7/ry6ttS/U6q76CUFADgv/CdaC60paQTUEoKAKADQWhGmFLSZ0V075MoJQUA+BuC0LwwpaT+tiglBQD4G4LQ7KCUFABAF4LQTKGUFACAgapR8/WuL8/Phup/CqWkAGDW8PVn1lo4UvF9+LtQSgoAZgxBaO7qWVHnUEoKAGasCkFYUFCQmpqqOycjIyPlH+np6WW+i6bppKSkhIQEtVqtOz83N/f8+fPPnj2rRqPBsFBKCgDmTK9rhDdv3hwyZMj9+/cpilIq/z1rGDlyZHJyspWVFSHE19f39OnTpd4ol8t79uz58uVLiURSXFwcGxvr5ORECDl69OjIkSNbtmx548aN2bNnf/7554bbI6gOppR05S1N6CF1dDd+sBPFdosAAOqIXmeEbm5uW7ZsiY+Pf3PRqlWrHj169OjRozdTkBDyyy+/FBcX37hxIyEhISAg4IcffiCEaDSaKVOmrFmz5tSpU+fPn58/f35mZmYNdwMMQltKeugJLhgCgLnQKwhdXFzat28vkUjeXJSfn5+SkqJ7mqhr3759I0aMEAqFhJDRo0fv3buXEHLt2rWXL1++9957hJBGjRoFBwcfOHCg+nsABvWuL+9Qd8HE85pVfyELAcAs1HT4xMKFC5cuXZqZmbl48eJPPvmk1NInT574+voy076+vunp6TRNp6ene3p6CgQC7fynT5+Wt32lUhkXF+Z6VH8AACAASURBVCeVSpmXbm5uzZo1K29ljUaj0eDru6ZaOZJLfai+MZrrWYINHTUCFFQZCP4+DYs5nhSFbnzDYP44ufcnyuNV/hVWoyDcuXMnc80vPj6+W7du7dq1Cw4O1l1BLpeLRCJm2sLCQqFQqFSq4uJi7UxCiFgsLioqKu8j5HL5qlWrtOu3a9du7ty5FazM5/NrskfAkFLk2DvUiLOk1wnlr6EqGwEqaAxALpfr838S9CSXy1UqFf7LG4pCoSCEqFQqthtiYBYWFtrzrvLUKAiZFCSEhIaGhoSEnD9/vlQQurm55eTkMNPZ2dlOTk5CodDV1fXVq1fadbKzswMCAsr7CFtb2z/++MPV1VWf9tA0bW1tXeXdgLJYE7I3vOCrvwQRf/IP9+B7WeF3twHg79OA+Hy+SCRCEBoKE4S6ZynmwzC/T9VqdXp6uqOjY6n5bdq0OXfuHDN97ty5tm3bEkKaN2/+8uXLtLQ05o0XL15s06aNQZoBhiXgkTUh/DEBvJCD6mu4KykAcJReZ4QymSwqKiozM1Oj0SxZssTGxubjjz/Ozs6eM2dOeHi4WCzevn27SqXq168fIeT69eudO3fOzs7m8/mTJ09u165dYGCgra3tkiVL9uzZQwhxdHQcOXLkqFGjZs6cuW/fPi8vr44dO9buXkINTA3keVmTnidUm8P4fbzRswcAXKPX95pGo8nNzRWLxTNnzszNzX39+jUhxNraun79+sePH4+Ojm7Tpk1iYqKNjQ0hxNnZefz48cwV7KZNm548eTIhIeHYsWM7duzo0qULs8GoqKjevXtv27bN1dX1+PHjuNxt5Ab8U0oahVJSAOAciqaNusvLzc0tKSlJz2uEBQUFTBiDQZQ6nk+L6D4n1W2cqTUhfJSSVkNhYSGuERoQU4uHa4SGgmuEAJXztKLO9hY8LaL74K6kAMAhCEKoAhshOdBNUN+WCjukSi8y6r4EAAA9IQihalBKCgAcgyCE6pgayFvZntcTdyUFANOHJ9RDNQ3w5XlaUe+eUqc1J582wy8qADBV+P6C6mvjTJ3vw19/RzP1olqNXlIAME0IQqgRPxvqUj/Bg3y69wlVAUpJAcAEIQihpmyE5GA3gZ8N1QGlpABgghCEYAACHlkbilJSADBJCEIwmKmBvJ/a8XqeUB1+giwEAJOBIARDes+Pd7CbYMJ59erbGFYBAKYBQQgG1taFOt+Hv+42SkkBwDQgCMHwUEoKACYEQQi1QltKiruSAoCRQxBCbWFKST8M4IUcVF9/hSwEACOFIITaxZSSRhxHKSkAGCkEIdQ6lJICgDFDEEJd0C0l1eDMEACMCYIQ6si/paQnUUoKAEYEQQh1hykl9bGmwg6pnqKUFACMA4IQ6pSAR9ahlBQAjAmCEFgwNZD3I0pJAcA4IAiBHdpS0jUoJQUAViEIgTVMKekalJICAKsQhMAmPxsqvo/gVi79XoxapmK7NQBglhCEwDKpmJyIELhJSMhBlJICAAsQhMA+lJICAIsQhGAspgbyfmjHiziuOpKOLASAuoMgBCMy0I93oJtg/DmUkgJA3UEQgnFph1JSAKhbCEIwOkwpaXIOPfA0SkkBoNYhCMEYScXkZE+BqyUJxV1JAaCWIQjBSDGlpKMb8kIOqm+glBQAag2CEIwaU0raA6WkAFBrEIRg7JhS0nHnVCglBYDagCAEE9DOhTrfR4BSUgCoDQhCMA31UUoKALUDQQgmgykldbEg7xxRZcrZbg0AcIWA7QYAVIGAR9Z34K+8pWkTrTrYne+hfrl25Y93km44ubi8N3xk5y5d2G4gAJgenBGC6WFKSbuuONWpbWvnG8c/dSrqVnRv9cyPx48awXbTAMD0IAjBJPX30jjvmrCze4N+DV197SWt3O1XdfST3U48dPAg200DABODIASTdP369WAXiaOlSHfmMH+H/Tt/Y6tJAGCiEIRgkvLy8qQifqmZDpbC3JwcVtoDAKYLQQgmKSAg4K9XslIzb74saBrUgpX2AIDpQhCCSfL29nbwa7jvfpZ2zrOC4qi/sid8OpXFVgGAKcLwCTBVW3fumTZpwq6jF5q72GQXq28V0GTcDmcPb7bbBQAmBkEIpsrGxmbz9t+zs7Nv377t5ubWoEGDD8+RKRfVm8JKXzsEAKgAukbBtDk5OXXs2DEgIIDP568N5V98QW+5h3tzA0AVIAiBO6yF5H9d+XMT1VezcWduANAXghA4JcCO2tiBP/C0OruY7aYAgInQKwhpmu7Xr5+npydFUfHx8aWWFhUVNWjQwNfX9803Llq0iNIhEolkMhkhZOTIkdqZNjY2Nd4LgH/18+EN8KWGxarUOC0EAD3oFYQURQ0YMODEiRMODg5vLp05c2bz5s3LfONXX31F/2PmzJl9+vSRSCTMop9++omZX1BQUO3WA5RpSWu+QkO+vYGLhQBQOX27RkeNGtWsWTOKokrNj4uLu3PnztixYyt+u0ql2r59+5gxY7RzEIFQewQ8sruzYPNdzbF0nBUCQCVqdI1QJpN98skna9eufTMgSzly5AiPx4uIiNDOmTt3roeHh5ub2/r16yt4o1qtvnnz5tV/ZGVlVbAygJarJdndhf/hWVVqAbIQACpSo3GEX3311bBhw5o0aZKWllbxmlu2bBk1ahSf//cAr3nz5m3ZskUoFJ45c6Z3796NGzfu1KlTmW8sLCycPn26UChkXrZp02b58uXlfUpRUVGlkQz6M/Xj+ZaETGvM73+SjumisDSCEbNFRUVsN4FT5HK5SCTSfqtADSkUCkKISCSqdE3TYmFhIRBU8v+foukq/F52cnI6cOBAaGgoISQtLS0oKGjx4sVCofDWrVu///77d999N3z4cCsrq1LvysrK8vb2/uuvv/z9/d/c5rBhw3x9fb/77rsyP9HNzS0pKcnV1VWf5hUUFKD0xoC4cTxHnlFbCMjGDux/XRYWFlpbW7PdCu5AEBoWV4NQH9XvGuXz+UOHDmX6LR8+fFhSUnL16lXmUJbyyy+/tG/fvswUJIRkZ2dz4NsWjNbaUP6FLPrn+yicAYCy6dthdOLEifz8fIVCERsb+/z58549e3p5eW3YsIFZeuzYsdu3b2tfBgcHr169un379szLX375Zc6cOdpNMRWk3bt3t7a2jo6OvnTpUsWXCQFqghllH3ZY1dyBCnYy4Z5eAKgl+gbhxYsXMzIyhg4dmp6enp6eHh4ertvJ4+XlNWzYMO3L4OBgOzs7ZjozMzM8PHzgwIHapRRF0TS9bNmy4uLipk2bXr58uX79+obYF4CyaUfZJ/YXOIrZbg0AGJmqXSOse7hGyCKOHc8Zl9XJOfSxCAGfpdNCXCM0LFwjNCxcIwTgPmaU/XcYZQ8A/4UgBHPBjLLfhFH2APBfCEIwIxhlDwBvQhCCeWnvQs1uzh8Qo5ar2G4KABgHBCGYnWmBvAA7auolNdsNAQCjgCAEc7QljB+fiVH2AEAIghDMk7WQ7O/Gn5OAZ9kDAIIQzFWAHbWhA3/gafWrErabAgCsQhCC+ervw3vXhxp1RqXBaSGAGUMQgllb2oZfoMSz7AHMGoIQzJqAR/Z0EWzEKHsAM4YgBHPnakn2YJQ9gBlDEAKQ9i7UrCCMsgcwUwhCAEIImf4WL8CO+gyj7AHMD4IQ4G9bwvjnMcoewPwgCAH+Zi0k/8MoewDzgyAE+FcjjLIHMD8IQoD/6O/D649R9gDmBEEIUNqyNvwCJZ5lD2AuEIQApTGj7Dfc1Rx/irNCAO5DEAKUwdWS7O7MHx2HUfYA3IcgBChbiCs1E6PsAcwAghCgXNPf4jW0paZhlD0ApyEIAcpFEfJzR/65THorRtkDcBeCEKAizCj7LxLU1zDKHoCjEIQAlWhkR61qz38Po+wBOApBCFC59+vz+vlQo+Mwyh6AgxCEAHpZ3oafpyCLk3CxEIBrEIQAemFG2a+/g1H2AFyDIATQlxtG2QNwEYIQoApCXKnPg/hD/lSXYGw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      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(numpirates, globaltemperatures, label=\"line\")  \n",
    "scatter!(numpirates, globaltemperatures, label=\"points\") "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `!` at the end of the `scatter!` function name makes `scatter!` a mutating function, indicating that the scattered points will be added onto the pre-existing plot.\n",
    "\n",
    "In contrast, see what happens when you replace `scatter!` in the above with the non-mutating function `scatter`.\n",
    "\n",
    "Next, let's update this plot with the `xlabel!`, `ylabel!`, and `title!` commands to add more information to our plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xlabel!(\"Number of Pirates [Approximate]\")\n",
    "ylabel!(\"Global Temperature (C)\")\n",
    "title!(\"Influence of pirate population on global warming\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This still doesn't look quite right. The number of pirates has decreased since 1860, so reading the plot from left to right is like looking backwards in time rather than forwards. Let's flip the x axis to better see how pirate populations have caused global temperatures to change over time!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "                          \u001b[97;1mInfluence of pirate population on global warming\u001b[0m       \n",
       "                          \u001b[38;5;8m+----------------------------------------+\u001b[0m       \n",
       "                   \u001b[38;5;8m15.842\u001b[0m \u001b[38;5;8m|\u001b[0m                                      \u001b[38;5;167m⚬\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;33mline\u001b[0m  \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                                      \u001b[38;5;33m|\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;167mpoints\u001b[0m\n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                                      \u001b[38;5;33m|\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                                      \u001b[38;5;167m⚬\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                                    \u001b[38;5;33m.\u001b[0m\u001b[38;5;33m*\u001b[0m| \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                                   \u001b[38;5;33m.\u001b[0m\u001b[38;5;33m/\u001b[0m | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                                 \u001b[38;5;33m.\u001b[0m\u001b[38;5;167m⚬\u001b[0m\u001b[38;5;33m`\u001b[0m  | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "   Global Temperature (C) \u001b[38;5;8m|\u001b[0m                               \u001b[38;5;33m.\u001b[0m\u001b[38;5;33m*\u001b[0m\u001b[38;5;33m`\u001b[0m    | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                             \u001b[38;5;33m.\u001b[0m\u001b[38;5;33m*\u001b[0m\u001b[38;5;33m`\u001b[0m      | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                           \u001b[38;5;33m.\u001b[0m\u001b[38;5;33m*\u001b[0m\u001b[38;5;33m`\u001b[0m        | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                         \u001b[38;5;33m.\u001b[0m\u001b[38;5;167m⚬\u001b[0m\u001b[38;5;33m`\u001b[0m          | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                        \u001b[38;5;33m.\u001b[0m\u001b[38;5;33m/\u001b[0m            | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m                       \u001b[38;5;33mr\u001b[0m\u001b[38;5;33m`\u001b[0m             | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m             \u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;167m⚬\u001b[0m               | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                   \u001b[38;5;8m14.358\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;167m⚬\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m/\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m                         | \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                          \u001b[38;5;8m+----------------------------------------+\u001b[0m       \n",
       "                           \u001b[38;5;8m46349.5\u001b[0mNumber of Pirates [Approximate]\u001b[38;5;8m-1332.49\u001b[0m        "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xflip!()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And there we have it!\n",
    "\n",
    "Note: We've had some confusion about this exercise. :) This is a joke about how people often conflate correlation and causation.\n",
    "\n",
    "**Without changing syntax, we can create this plot with the UnicodePlots backend**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/github-personal/Introduction-to-Julia/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/github-personal/Introduction-to-Julia/Manifest.toml`\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Plots.UnicodePlotsBackend()"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Pkg.add(\"UnicodePlots\")\n",
    "unicodeplots()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "                          \u001b[97;1mInfluence of pirate population on global warming\u001b[0m       \n",
       "                          \u001b[38;5;8m+----------------------------------------+\u001b[0m       \n",
       "                   \u001b[38;5;8m15.842\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;167m⚬\u001b[0m                                      \u001b[38;5;8m|\u001b[0m \u001b[38;5;33mline\u001b[0m  \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;33m|\u001b[0m                                      \u001b[38;5;8m|\u001b[0m \u001b[38;5;167mpoints\u001b[0m\n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;33m\\\u001b[0m                                      \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;167m⚬\u001b[0m                                      \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m |\u001b[38;5;33m*\u001b[0m\u001b[38;5;33m.\u001b[0m                                    \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m | \u001b[38;5;33m\\\u001b[0m\u001b[38;5;33m.\u001b[0m                                   \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m |  \u001b[38;5;33m\"\u001b[0m\u001b[38;5;167m⚬\u001b[0m\u001b[38;5;33m.\u001b[0m                                 \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "   Global Temperature (C) \u001b[38;5;8m|\u001b[0m |    \u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m*\u001b[0m\u001b[38;5;33m.\u001b[0m                               \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m |      \u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m*\u001b[0m\u001b[38;5;33m.\u001b[0m                             \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m |        \u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m*\u001b[0m\u001b[38;5;33m.\u001b[0m                           \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m |          \u001b[38;5;33m\"\u001b[0m\u001b[38;5;167m⚬\u001b[0m\u001b[38;5;33m.\u001b[0m                         \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m |            \u001b[38;5;33m\\\u001b[0m\u001b[38;5;33m.\u001b[0m                        \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m |             \u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m.\u001b[0m                       \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                         \u001b[38;5;8m\u001b[0m \u001b[38;5;8m|\u001b[0m |               \u001b[38;5;167m⚬\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m\u001b[38;5;33m_\u001b[0m             \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                   \u001b[38;5;8m14.358\u001b[0m \u001b[38;5;8m|\u001b[0m |                         \u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\"\u001b[0m\u001b[38;5;33m\\\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;33m-\u001b[0m\u001b[38;5;167m⚬\u001b[0m \u001b[38;5;8m|\u001b[0m \u001b[38;5;8m\u001b[0m      \n",
       "                          \u001b[38;5;8m+----------------------------------------+\u001b[0m       \n",
       "                           \u001b[38;5;8m-1332.49\u001b[0mNumber of Pirates [Approximate]\u001b[38;5;8m46349.5\u001b[0m        "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(numpirates, globaltemperatures, label=\"line\")  \n",
    "scatter!(numpirates, globaltemperatures, label=\"points\") \n",
    "xlabel!(\"Number of Pirates [Approximate]\")\n",
    "ylabel!(\"Global Temperature (C)\")\n",
    "title!(\"Influence of pirate population on global warming\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And notice how this second plot differs from the first!  Using text like this is a little silly in a Jupyter notebook where we have fancy drawing capabilities, but it can be very useful for quick and dirty visualization in a terminal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercises\n",
    "\n",
    "#### 8.1 \n",
    "Given\n",
    "```julia\n",
    "x = -10:10\n",
    "```\n",
    "plot y vs. x for $y = x^2$.  You may want to change backends back again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/github-personal/Introduction-to-Julia/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/github-personal/Introduction-to-Julia/Manifest.toml`\n"
     ]
    },
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       "    <div id=\"1957ade8-767c-4913-8dd9-68435b1dcb8e\" style=\"width:600px;height:400px;\"></div>\n",
       "    <script>\n",
       "        requirejs.config({\n",
       "        paths: {\n",
       "            plotly: 'https://cdn.plot.ly/plotly-2.6.3.min'\n",
       "        }\n",
       "    });\n",
       "    require(['plotly'], function (Plotly) {\n",
       "\n",
       "    Plotly.newPlot('1957ade8-767c-4913-8dd9-68435b1dcb8e', [\n",
       "    {\n",
       "        \"showlegend\": true,\n",
       "        \"mode\": \"lines\",\n",
       "        \"xaxis\": \"x\",\n",
       "        \"colorbar\": {\n",
       "            \"y\": 0.513888888888889,\n",
       "            \"title\": \"\",\n",
       "            \"len\": 0.9525371828521435,\n",
       "            \"x\": 0.9934383202099737\n",
       "        },\n",
       "        \"name\": \"line\",\n",
       "        \"yaxis\": \"y\",\n",
       "        \"legendgroup\": \"line\",\n",
       "        \"line\": {\n",
       "            \"color\": \"rgba(0, 154, 250, 1.000)\",\n",
       "            \"shape\": \"linear\",\n",
       "            \"dash\": \"solid\",\n",
       "            \"width\": 1\n",
       "        },\n",
       "        \"y\": [\n",
       "            100.0,\n",
       "            81.0,\n",
       "            64.0,\n",
       "            49.0,\n",
       "            36.0,\n",
       "            25.0,\n",
       "            16.0,\n",
       "            9.0,\n",
       "            4.0,\n",
       "            1.0,\n",
       "            0.0,\n",
       "            1.0,\n",
       "            4.0,\n",
       "            9.0,\n",
       "            16.0,\n",
       "            25.0,\n",
       "            36.0,\n",
       "            49.0,\n",
       "            64.0,\n",
       "            81.0,\n",
       "            100.0\n",
       "        ],\n",
       "        \"type\": \"scatter\",\n",
       "        \"x\": [\n",
       "            -10,\n",
       "            -9,\n",
       "            -8,\n",
       "            -7,\n",
       "            -6,\n",
       "            -5,\n",
       "            -4,\n",
       "            -3,\n",
       "            -2,\n",
       "            -1,\n",
       "            0,\n",
       "            1,\n",
       "            2,\n",
       "            3,\n",
       "            4,\n",
       "            5,\n",
       "            6,\n",
       "            7,\n",
       "            8,\n",
       "            9,\n",
       "            10\n",
       "        ]\n",
       "    }\n",
       "]\n",
       ", {\n",
       "    \"showlegend\": true,\n",
       "    \"xaxis\": {\n",
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       "        \"tickvals\": [\n",
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       "            -5.0,\n",
       "            0.0,\n",
       "            5.0,\n",
       "            10.0\n",
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       "        \"range\": [\n",
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       "        ],\n",
       "        \"domain\": [\n",
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       "        \"tickangle\": 0,\n",
       "        \"showline\": true,\n",
       "        \"ticktext\": [\n",
       "            \"-10\",\n",
       "            \"-5\",\n",
       "            \"0\",\n",
       "            \"5\",\n",
       "            \"10\"\n",
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       "        \"zeroline\": false,\n",
       "        \"tickfont\": {\n",
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       "            \"family\": \"sans-serif\",\n",
       "            \"size\": 11\n",
       "        },\n",
       "        \"zerolinecolor\": \"rgba(0, 0, 0, 1.000)\",\n",
       "        \"anchor\": \"y\",\n",
       "        \"visible\": true,\n",
       "        \"ticks\": \"inside\",\n",
       "        \"tickmode\": \"array\",\n",
       "        \"linecolor\": \"rgba(0, 0, 0, 1.000)\",\n",
       "        \"showgrid\": true,\n",
       "        \"title\": \"\",\n",
       "        \"gridcolor\": \"rgba(0, 0, 0, 0.100)\",\n",
       "        \"titlefont\": {\n",
       "            \"color\": \"rgba(0, 0, 0, 1.000)\",\n",
       "            \"family\": \"sans-serif\",\n",
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       "        \"tickcolor\": \"rgb(0, 0, 0)\",\n",
       "        \"type\": \"-\"\n",
       "    },\n",
       "    \"paper_bgcolor\": \"rgba(255, 255, 255, 1.000)\",\n",
       "    \"annotations\": [],\n",
       "    \"height\": 400,\n",
       "    \"margin\": {\n",
       "        \"l\": 0,\n",
       "        \"b\": 20,\n",
       "        \"r\": 0,\n",
       "        \"t\": 20\n",
       "    },\n",
       "    \"plot_bgcolor\": \"rgba(255, 255, 255, 1.000)\",\n",
       "    \"yaxis\": {\n",
       "        \"showticklabels\": true,\n",
       "        \"gridwidth\": 0.5,\n",
       "        \"tickvals\": [\n",
       "            0.0,\n",
       "            25.0,\n",
       "            50.0,\n",
       "            75.0,\n",
       "            100.0\n",
       "        ],\n",
       "        \"range\": [\n",
       "            -3.0,\n",
       "            103.0\n",
       "        ],\n",
       "        \"domain\": [\n",
       "            0.03762029746281716,\n",
       "            0.9901574803149606\n",
       "        ],\n",
       "        \"mirror\": false,\n",
       "        \"tickangle\": 0,\n",
       "        \"showline\": true,\n",
       "        \"ticktext\": [\n",
       "            \"0\",\n",
       "            \"25\",\n",
       "            \"50\",\n",
       "            \"75\",\n",
       "            \"100\"\n",
       "        ],\n",
       "        \"zeroline\": false,\n",
       "        \"tickfont\": {\n",
       "            \"color\": \"rgba(0, 0, 0, 1.000)\",\n",
       "            \"family\": \"sans-serif\",\n",
       "            \"size\": 11\n",
       "        },\n",
       "        \"zerolinecolor\": \"rgba(0, 0, 0, 1.000)\",\n",
       "        \"anchor\": \"x\",\n",
       "        \"visible\": true,\n",
       "        \"ticks\": \"inside\",\n",
       "        \"tickmode\": \"array\",\n",
       "        \"linecolor\": \"rgba(0, 0, 0, 1.000)\",\n",
       "        \"showgrid\": true,\n",
       "        \"title\": \"\",\n",
       "        \"gridcolor\": \"rgba(0, 0, 0, 0.100)\",\n",
       "        \"titlefont\": {\n",
       "            \"color\": \"rgba(0, 0, 0, 1.000)\",\n",
       "            \"family\": \"sans-serif\",\n",
       "            \"size\": 15\n",
       "        },\n",
       "        \"tickcolor\": \"rgb(0, 0, 0)\",\n",
       "        \"type\": \"-\"\n",
       "    },\n",
       "    \"legend\": {\n",
       "        \"yanchor\": \"auto\",\n",
       "        \"xanchor\": \"auto\",\n",
       "        \"bordercolor\": \"rgba(0, 0, 0, 1.000)\",\n",
       "        \"bgcolor\": \"rgba(255, 255, 255, 1.000)\",\n",
       "        \"borderwidth\": 1,\n",
       "        \"tracegroupgap\": 0,\n",
       "        \"y\": 1.0,\n",
       "        \"font\": {\n",
       "            \"color\": \"rgba(0, 0, 0, 1.000)\",\n",
       "            \"family\": \"sans-serif\",\n",
       "            \"size\": 11\n",
       "        },\n",
       "        \"title\": {\n",
       "            \"font\": {\n",
       "                \"color\": \"rgba(0, 0, 0, 1.000)\",\n",
       "                \"family\": \"sans-serif\",\n",
       "                \"size\": 15\n",
       "            },\n",
       "            \"text\": \"\"\n",
       "        },\n",
       "        \"traceorder\": \"normal\",\n",
       "        \"x\": 1.0\n",
       "    },\n",
       "    \"width\": 600\n",
       "}\n",
       ");\n",
       "    });\n",
       "    </script>\n"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Pkg.add(\"PlotlyJS\")\n",
    "using PlotlyJS\n",
    "\n",
    "x = -10:10\n",
    "f(x) = x^2\n",
    "y=f.(x)\n",
    "\n",
    "plotlyjs()\n",
    "plot(x, y, label=\"line\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 8.2 \n",
    "Execute the following code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
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       ");\n",
       "    });\n",
       "    </script>\n"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p1 = plot(x, x)\n",
    "p2 = plot(x, x.^2)\n",
    "p3 = plot(x, x.^3)\n",
    "p4 = plot(x, x.^4)\n",
    "plot(p1, p2, p3, p4, layout = (2, 2), legend = false)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and then create a $4x1$ plot that uses `p1`, `p2`, `p3`, and `p4` as subplots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
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