{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "gpuType": "T4"
    },
    "kernelspec": {
      "name": "ir",
      "display_name": "R"
    },
    "language_info": {
      "name": "R"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "collapsed": true,
        "id": "6GAR_oJb5UL4",
        "outputId": "9d27e2dd-6bff-4e5b-a7e4-cfc5a43c1e0e"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n"
          ]
        }
      ],
      "source": [
        "install.packages(\"vctrs\")"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "install.packages(\"dplyr\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Ow76mlVCKJum",
        "outputId": "45bb2cef-b072-404c-9e49-b15273ff862f"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "library(dplyr)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "collapsed": true,
        "id": "hC47J0umKJxf",
        "outputId": "ae644d53-8a3a-4352-e85b-f5a1f5c0522d"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\n",
            "Attaching package: ‘dplyr’\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:stats’:\n",
            "\n",
            "    filter, lag\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:base’:\n",
            "\n",
            "    intersect, setdiff, setequal, union\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "head(mtcars)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "3lfnqpbUKgjV",
        "outputId": "c68c2171-e265-438f-98b3-52466b618915"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<table class=\"dataframe\">\n",
              "<caption>A data.frame: 6 × 11</caption>\n",
              "<thead>\n",
              "\t<tr><th></th><th scope=col>mpg</th><th scope=col>cyl</th><th scope=col>disp</th><th scope=col>hp</th><th scope=col>drat</th><th scope=col>wt</th><th scope=col>qsec</th><th scope=col>vs</th><th scope=col>am</th><th scope=col>gear</th><th scope=col>carb</th></tr>\n",
              "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><th scope=row>Mazda RX4</th><td>21.0</td><td>6</td><td>160</td><td>110</td><td>3.90</td><td>2.620</td><td>16.46</td><td>0</td><td>1</td><td>4</td><td>4</td></tr>\n",
              "\t<tr><th scope=row>Mazda RX4 Wag</th><td>21.0</td><td>6</td><td>160</td><td>110</td><td>3.90</td><td>2.875</td><td>17.02</td><td>0</td><td>1</td><td>4</td><td>4</td></tr>\n",
              "\t<tr><th scope=row>Datsun 710</th><td>22.8</td><td>4</td><td>108</td><td> 93</td><td>3.85</td><td>2.320</td><td>18.61</td><td>1</td><td>1</td><td>4</td><td>1</td></tr>\n",
              "\t<tr><th scope=row>Hornet 4 Drive</th><td>21.4</td><td>6</td><td>258</td><td>110</td><td>3.08</td><td>3.215</td><td>19.44</td><td>1</td><td>0</td><td>3</td><td>1</td></tr>\n",
              "\t<tr><th scope=row>Hornet Sportabout</th><td>18.7</td><td>8</td><td>360</td><td>175</td><td>3.15</td><td>3.440</td><td>17.02</td><td>0</td><td>0</td><td>3</td><td>2</td></tr>\n",
              "\t<tr><th scope=row>Valiant</th><td>18.1</td><td>6</td><td>225</td><td>105</td><td>2.76</td><td>3.460</td><td>20.22</td><td>1</td><td>0</td><td>3</td><td>1</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ],
            "text/markdown": "\nA data.frame: 6 × 11\n\n| <!--/--> | mpg &lt;dbl&gt; | cyl &lt;dbl&gt; | disp &lt;dbl&gt; | hp &lt;dbl&gt; | drat &lt;dbl&gt; | wt &lt;dbl&gt; | qsec &lt;dbl&gt; | vs &lt;dbl&gt; | am &lt;dbl&gt; | gear &lt;dbl&gt; | carb &lt;dbl&gt; |\n|---|---|---|---|---|---|---|---|---|---|---|---|\n| Mazda RX4 | 21.0 | 6 | 160 | 110 | 3.90 | 2.620 | 16.46 | 0 | 1 | 4 | 4 |\n| Mazda RX4 Wag | 21.0 | 6 | 160 | 110 | 3.90 | 2.875 | 17.02 | 0 | 1 | 4 | 4 |\n| Datsun 710 | 22.8 | 4 | 108 |  93 | 3.85 | 2.320 | 18.61 | 1 | 1 | 4 | 1 |\n| Hornet 4 Drive | 21.4 | 6 | 258 | 110 | 3.08 | 3.215 | 19.44 | 1 | 0 | 3 | 1 |\n| Hornet Sportabout | 18.7 | 8 | 360 | 175 | 3.15 | 3.440 | 17.02 | 0 | 0 | 3 | 2 |\n| Valiant | 18.1 | 6 | 225 | 105 | 2.76 | 3.460 | 20.22 | 1 | 0 | 3 | 1 |\n\n",
            "text/latex": "A data.frame: 6 × 11\n\\begin{tabular}{r|lllllllllll}\n  & mpg & cyl & disp & hp & drat & wt & qsec & vs & am & gear & carb\\\\\n  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n\\hline\n\tMazda RX4 & 21.0 & 6 & 160 & 110 & 3.90 & 2.620 & 16.46 & 0 & 1 & 4 & 4\\\\\n\tMazda RX4 Wag & 21.0 & 6 & 160 & 110 & 3.90 & 2.875 & 17.02 & 0 & 1 & 4 & 4\\\\\n\tDatsun 710 & 22.8 & 4 & 108 &  93 & 3.85 & 2.320 & 18.61 & 1 & 1 & 4 & 1\\\\\n\tHornet 4 Drive & 21.4 & 6 & 258 & 110 & 3.08 & 3.215 & 19.44 & 1 & 0 & 3 & 1\\\\\n\tHornet Sportabout & 18.7 & 8 & 360 & 175 & 3.15 & 3.440 & 17.02 & 0 & 0 & 3 & 2\\\\\n\tValiant & 18.1 & 6 & 225 & 105 & 2.76 & 3.460 & 20.22 & 1 & 0 & 3 & 1\\\\\n\\end{tabular}\n",
            "text/plain": [
              "                  mpg  cyl disp hp  drat wt    qsec  vs am gear carb\n",
              "Mazda RX4         21.0 6   160  110 3.90 2.620 16.46 0  1  4    4   \n",
              "Mazda RX4 Wag     21.0 6   160  110 3.90 2.875 17.02 0  1  4    4   \n",
              "Datsun 710        22.8 4   108   93 3.85 2.320 18.61 1  1  4    1   \n",
              "Hornet 4 Drive    21.4 6   258  110 3.08 3.215 19.44 1  0  3    1   \n",
              "Hornet Sportabout 18.7 8   360  175 3.15 3.440 17.02 0  0  3    2   \n",
              "Valiant           18.1 6   225  105 2.76 3.460 20.22 1  0  3    1   "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "summary(mtcars)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "collapsed": true,
        "id": "YEpvxHlS5Upp",
        "outputId": "f9d52472-c641-4c56-9fbe-7a1a85589052"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "      mpg             cyl             disp             hp       \n",
              " Min.   :10.40   Min.   :4.000   Min.   : 71.1   Min.   : 52.0  \n",
              " 1st Qu.:15.43   1st Qu.:4.000   1st Qu.:120.8   1st Qu.: 96.5  \n",
              " Median :19.20   Median :6.000   Median :196.3   Median :123.0  \n",
              " Mean   :20.09   Mean   :6.188   Mean   :230.7   Mean   :146.7  \n",
              " 3rd Qu.:22.80   3rd Qu.:8.000   3rd Qu.:326.0   3rd Qu.:180.0  \n",
              " Max.   :33.90   Max.   :8.000   Max.   :472.0   Max.   :335.0  \n",
              "      drat             wt             qsec             vs        \n",
              " Min.   :2.760   Min.   :1.513   Min.   :14.50   Min.   :0.0000  \n",
              " 1st Qu.:3.080   1st Qu.:2.581   1st Qu.:16.89   1st Qu.:0.0000  \n",
              " Median :3.695   Median :3.325   Median :17.71   Median :0.0000  \n",
              " Mean   :3.597   Mean   :3.217   Mean   :17.85   Mean   :0.4375  \n",
              " 3rd Qu.:3.920   3rd Qu.:3.610   3rd Qu.:18.90   3rd Qu.:1.0000  \n",
              " Max.   :4.930   Max.   :5.424   Max.   :22.90   Max.   :1.0000  \n",
              "       am              gear            carb      \n",
              " Min.   :0.0000   Min.   :3.000   Min.   :1.000  \n",
              " 1st Qu.:0.0000   1st Qu.:3.000   1st Qu.:2.000  \n",
              " Median :0.0000   Median :4.000   Median :2.000  \n",
              " Mean   :0.4062   Mean   :3.688   Mean   :2.812  \n",
              " 3rd Qu.:1.0000   3rd Qu.:4.000   3rd Qu.:4.000  \n",
              " Max.   :1.0000   Max.   :5.000   Max.   :8.000  "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "library(ggplot2)\n",
        "library(dplyr)\n",
        "\n",
        "ggplot(data = mtcars) +\n",
        "  labs(title = \"MTCars Data Plot\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "Awt8Zl0U5UsJ",
        "outputId": "7c779098-d638-4ae0-b032-dea83177228d"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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kKCgJAgICQICAkCQoKAkCAgJAgICQJC\ngoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkC\nQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJ\nAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgI\nCQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQI\nCAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAk\nCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAg\nJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAg\nICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQ\nICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKA\nkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKC\ngJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJC\ngoCQICAkCAgJAkKCgJAgICQICAkCQoKAkCAgJAgICQJCgoCQICAkCAgJAuuFdOgx4AU5tE5I\nwP+akCAgJAgICQJCgoCQICAkCAgJAkKCwH8D6bhn/9Dq+wAAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ggplot(data = mtcars, aes(x = hp, y = mpg, col = disp))+\n",
        " labs(title = \"MTCars Data Plot\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "qntg2Z9y5UvA",
        "outputId": "9e7aac96-015b-40f9-886c-f49b30506e27"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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CnxpSPvkQTxHin/9eM90uuzGmNsm7Zi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"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ggplot(data = mtcars, aes(x = hp, y = mpg, col = disp)) +\n",
        "  geom_point() +\n",
        "  labs(title = \"Miles per Gallon vs Horsepower\",\n",
        "       x = \"Horsepower\",\n",
        "       y = \"Miles per Gallon\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "nbY07X795Uxa",
        "outputId": "ba9a117b-4415-411f-e883-c516720f52df"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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sVicXcvnsrXlys/OUf5jRZERUVFRUU1aNBgwIABO3fuDA0NvXXrliRJtniXnp4e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\nuoPP265gN3HixF27dt1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0Kv11ssFu/8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\nEv8LA3Ao3WEH7aUAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Adding size\n",
        "ggplot(data = mtcars, aes(x = hp, y = mpg, size = disp)) +\n",
        "  geom_point() +\n",
        "  labs(title = \"Miles per Gallon vs Horsepower\",\n",
        "       x = \"Horsepower\",\n",
        "       y = \"Miles per Gallon\")\n",
        "\n",
        "# Adding shape and color\n",
        "ggplot(data = mtcars, aes(x = hp, y = mpg, col = factor(cyl),\n",
        "       shape = factor(am))) +geom_point() +\n",
        "  labs(title = \"Miles per Gallon vs Horsepower\",\n",
        "       x = \"Horsepower\",\n",
        "       y = \"Miles per Gallon\")\n",
        "\n",
        "# Histogram plot\n",
        "ggplot(data = mtcars, aes(x = hp)) +\n",
        "  geom_histogram(binwidth = 5) +\n",
        "  labs(title = \"Histogram of Horsepower\",\n",
        "       x = \"Horsepower\",\n",
        "       y = \"Count\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "29VGw3sC5U0S",
        "outputId": "1cf107ec-1241-43a6-b840-bdd0e0cb3180"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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3OAZB0g0QMkJe36AYkhQKLHycQcIFkH\nSPQASUm7fkBiCJDocTIxB0jWARI9QFLSrh+QGAIkepxMzAGSdYBED5CUtOsHJIYAiR4nE3OA\nZB0g0QMkJe36AYkhQKLHycQcIFkHSPQASUm7fkBiCJDocTIxB0jWARI9QFLSrh+QGAIkepxM\nzAGSdYBED5CUtOs3Q/px3qKNPLcVIDEESBwlDGmHruIy7VnRCkY3FaLLC3VvZNkuWcJyOVaV\nFwU3V2VlcHMVlQc3V4ncFdhcnEzMBQ9pqIj2OsdtBUgMARJHgT+0+6LKkfgNx09vPLRjCA/t\nOAoc0jPVkJpz3FaAxBAgcRQ4pOerIe3GcVsBEkOAxFHgkJZnV0E6g+O2AiSGAImj4F/+/kvU\nUctFHLcVIDEESBwFD6ngqR5NWp7+GcttBUgMARJH9fLOhtwCptsKkBgCJI7wFiHrAIkeIClp\n1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqA\npKRdPyAxBEj0OJmYAyTrAIkeIClp1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q\n6AGSknb9gMQQINHjZGIOkKwDJHqApKRdPyAxBEj0OJmYAyTrAIkeIClp1w9IDAESPU4m5gDJ\nOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqApKRdPyAxBEj0OJmY\nAyTrAIkeIClp1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQINHj\nZGIOkKwDJHqApKRdPyAxBEj0OJmYAyTrAIkeIClp1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOA\nRI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqApKRdPyAxBEj0OJmYAyTrAIkeIClp1w9I\nDAESPU4m5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqApKRd\nf6pA2vjJGt7JAIkeIClp158akOYe00SIg57inAyQ6AGSknb924rzH+zd5tCH8wO4rbSQZmSL\naLcyTgZI9ABJSbv+bcVjovfhPwVwW+kgrd2jypHIWsQ3GSDRAyQl7fq3Lam+E3+W/NtKB+mf\nItZ1fJMBEj1AUtKuf1vsXvx48m8rHaRxNZB+zzcZINEDJCXt+rdNr74Psz7Tj58O0m01kM7k\nmwyQ6AGSknb921ZWPdHPWZb820oHaWYNpHF8kwESPUBS0q5/W/HE6F14cgC3lQ7Sxn2qHTVb\nzDcZINEDJCXt+rcVh14fdPhZs4O4rbQvf7/dOuoom/N5GiDRAyQl7fpT4xeyX53fVex5+tuc\nkwESPUBS0q4/NSCF28g8GSDRAyQl7fpTBhJ3gESvIUNaP2HEBbctl3L7Q6NG3J1fc7J2/YDE\nECDRSyYbNSOkslEP526acn6RnDBuzcYHrqmIna5dPyAxBEj0kgvHmxHSr7OKpMwdtDp01urw\nT6Wzl8ZO164fkBgCJHrJhePN6jlS4dTRpZ8OrQwfu/aV8B9LFixY8EmhrqJS7Vnslcii4CYr\n2xHcXJWVwc21ozy4uYpkSWBzJReONwtIFecMuvVn+c4lkePjp4X/uK5Pnz5DkrwuhNIqm59I\nG5ZNvmr7O5dGjkYhLXj22Wdf36GrpEx7Fnu7ZElwk5UXBTdXZWVwcxWVBzdXidwV2FzJhePN\n7uXviuFz/1v10O612Enah6Z4jsQQniPRSxaZ+BkhLb6yRMrKkXO3nPWjlNsGfxs7Xbt+QGII\nkOglF443I6TtF923Pm/a0Dw5+YY1uXeNrYydrl0/IDEESPSSC8eb+aHdujuHnXfzUil3Trl4\n5KStNSdr1w9IDAESvWSyUcNbhKwDJHqApKRdPyAxBEj0OJmYAyTrAIkeIClp1w9IDAESPU4m\n5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqApKRdPyAxBEj0\nOJmYAyTrAIkeIClp1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQ\nINHjZGIOkKwDJHqApKRdPyAxBEj0OJmYAyTrAIkeIClp1w9IDAESPU4m5gDJOkCiB0hK2vUD\nEkOARI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqApKRdPyAxBEj0OJmYAyTrAIkeIClp\n1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqA\npKRdPyAxBEj0OJmYAyTrAIkeIClp1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q\n6AGSknb9gMQQINHjZGIOkKwDJHqApKRdPyAxBEj0OJmYAyTrAIkeIClp1w9IDAESPU4m5gDJ\nOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqApKRdPyAxBEj0OJmY\nAyTrAIkeIClp1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOARI+TiTlAsg6Q6AGSknb9gMQQINHj\nZGIOkKwDJHqApKRdPyAxBEj0OJmYAyTrAIkeIClp1w9IDAESPU4m5gDJOkCiB0hK2vUDEkOA\nRI+TiTlAsg6Q6AGSknb9gMQQINHjZGIOkKwDJHqApKRdPyAxBEj0OJmYSxhSoa6iUu1Z7JXI\nouAmK9sR3FyVlcHNtaMsuLmKZElgc3EyMZcwpCJdu8q1Z7FXKncFN1l5SXBzVVYGN1dxRXBz\n7ZKlgc3FycRcfTy0+37Wwlyen954aMcQHtpxFDyktRcLITo8wXJbARJDgMRR8JBOF9Gmc9xW\ngMQQIHEUOKSPqhyJIzhuK0BiCJA4ChzSk9WQsgsYbitAYgiQOAoc0jPVkFpw3FaAxBAgcRQ4\npG+aVkEawHFbARJDgMRR8C823FD1A+kDjtsKkBgCJI6Ch1TwWPdGOQM+YrmtAIkhQOKoXt5r\nt2Ez020FSAwBEkd406p1gEQPkJS06wckhgCJHicTc4BkHSDRAyQl7foBiSFAosfJxBwgWQdI\n9ABJSbt+QGIIkOhxMjEHSNYBEj1AUtKuH5AYAiR6nEzMAZJ1gEQPkJS06wckhgCJHicTc4Bk\nHSDRAyQl7foBiSFAosfJxBwgWQdI9ABJSbt+QGIIkOhxMjEHSNYBEj1AUtKuH5AYAiR6nEzM\nAZJ1gEQPkJS06wckhgCJHicTc4BkHSDRAyQl7foBiSFAosfJxBwgWQdI9ABJSbt+QGIIkOhx\nMjEHSNYBEj1AUtKuH5AYAiR6nEzMAZJ1gEQPkJS06wckhgCJHicTc2kDadPs+x54y7urY0Bi\nCJA4ShdIT3aMfIfFvi+5TwUkhgCJozSBdHv115OJv7tOBiSGAImj9IA0J+ZIZH/qPB2QGAIk\njtID0oAaSOIC5+mAxBAgcZQWkDZl10Lq6DwDkBgCJI7SAtJ3tY5E43zHGYDEECBxlBaQchvV\nQtrdeQYgMQRIHKUFpNCRtZBOc54OSAwBEkfpAWlqLaTXnacDEkOAxFF6QCoYFHN0uet0QGII\nkDhKD0ihjVdkRX+L9Od818mAxBAgcZQmkEKhT28Zdt4diz0nAhJDgMRR2kCKGyAxBEgcAZJ1\ngEQPkJS06wckhgCJHicTc4BkHSDRAyQl7foBiSFAosfJxBwgWQdI9ABJSbt+QGIIkOhxMjEH\nSNYBEj1AUtKuH5AYAiR6nEzMAZJ1gEQPkJS06wckhgCJHicTc4BkHSDRAyQl7foBiSFAosfJ\nxBwgWQdI9ABJSbt+QGIIkOhxMjEHSNYBEj1AUtKuH5AYAiR6nEzMAZJ1gESvIUPa8sCF592y\nQso/DQo3rOZk7foBiSFAopdMNmpmSDeOW73pwZHF8tI54cVtqTlZu35AYgiQ6CWTjZoRUuGk\n9VIWDFopz/3Sdbp2/YDEECDRS5qZuNk9R1o+eGvpoEevv2xSbuRvKz7//POvf9W1c5f2LPaK\n5c7gJivbHtxcFRXBzbW9LLi5dsriwOZKqhslK0iFY6bLXy96eMWKuy7aEf7rdX369BmS5HUh\nlFbZQNpw1dTKqmNFw+aH/3zz0Ucffa5IV0mZ9iz2SuWu4CYrLw5ursrK4OYqrghurl2yNLC5\nkslGzQLS0hFzao6PeTF2TPvQFM+RGMJzJHpJ8aLNDOm7C76KHKx7rEzK4mHvx07Wrh+QGAIk\neklUEycjpF1XRr9JvLhwxJS83EmXlsRO164fkBgCJHrJhePNCGnpoGhz5erbh184YXPN6dr1\nAxJDgEQvqW6U8BYh6wCJHiApadcPSAwBEj1OJuYAyTpAogdIStr1AxJDgESPk4k5QLIOkOgB\nkpJ2/TpI74w59aQRz+Sx3laAxBAgcRQUpJW/r/oy5f3nc95WgMQQIHEUEKRVPWJfS97sLcbb\nCpAYAiSOAoI0VNTUcR3fbQVIDAESR8FA+lQ4upvvtgIkhhoupOEtpfxNj0QFuAsG0h1OSL/h\nu60AiaGGDWnKpEQFuAsG0kgnpPZ8txUgMdSwIXEVDKQLnJD24LutAImhhgip8u69c3q/Fnto\nt+mKfXL2Ome5lEf1fe+Y5m0vTeRT6i5I+aM6N666szNDus0JqQ/fbQVIDDVESH8TIxe80rtH\nNaS+Hf/1/guHdtgp++159Ceh57MS2Y+Ci8ywpgNGXR6NGdKHTki38t1WgMRQA4RU2bl3+M9N\nWVWQtolbwn9bNWmj7C8WhY9dLtYTIbV7w36gdv1xX/4eWOuo7Y98txUgMdQAIf0krosc9KuC\nVNqu28KK6On9W0Z2TjJDzPPtyA2pRYH9QO3640L6bu+Yo+yXGW8rQGKoAUL6XEyIHAytfmj3\n8X6i3dAXysKQukdOniumEyGd8IH9QO36479FaNmxVY46vMZ5WwESQw0Q0n+rIJ0d+z1S+Xs3\nHyyOLqqG9IaY4ZeRB9JXx36aLEihgpnDD+858D7GtzWEAImlBghptbgmcnCE8xeyU8Wzsn/z\n8vCxp8Q7fhl5IPXvKlp0i8YPKSkBEkMNEFJF+/3DT4pWNKqC9NXw/PBpq8QDsn/02dHZOVuJ\nkE4YEAuQ1ACJXopAkneIc15/olufKkh5rQ97esHLx7VZFf5JctATC24WF/t3hA/22QdI9FIF\nUvktHbMPnX1tdtVDu6+HdMjqPGRx+CFZz69ObNH2yu0JePBA+nnutH+9UwhI8QIkeqkCSVP/\nxN/B6oJUcVNW5JW1lvdbDNSuH5AYAiR6CWjggnS/GPL0vLlPnWbz8p92/YDEECDRS0ADF6Re\nY6sOrzrKPFC7fkBiCJDoJaCBC1LOe1WHbzU3D9SuH5AYAiR6CZtIKBekltXf3/JGK/NA7foB\niSFAopcMLvpckI4/eVfkoHjgb80DtesHJIYAiV5ywOhyQXqr0T5XT7jnys6NF5gHatcPSAwB\nEr1kkYmf+/dIs3tGXv4+9C2Lgdr1AxJDgEQvOWB0ed/ZsPGLLzfH3dCbdv2AxBAg0ePHUld4\ni5B1gEQvRSAlOq6OaiH1cAZIaoBEryFA6u8MkNQAiV5DgOQz7ToAiSFAopfIndcwro4AyTpA\notcQIOE5kiFAotcQIOE5kiFAotcQIDnavhKQ1ACJXgODtHAPQFIDJHqpCGnT0hW246whzR15\nQvhxXd/W7QFJDZDopR6k/w1pLsQ+926OO+6H3zSJHGwd2XmPP6ytPTRCekk03Vt0biZOtniz\nnXb9gMQQINGzuvMubFO149KBm+KMe7nTxVFIZx2/dOUFh5TXHBoh9Tm9UDb5puzR31rs/kS7\nfkBiCJDo2dx5N3WP7Ur7rjjjZvw0OwJpfaMl4Z9GTRfEDs2QWs+VsskyKW+4BpDUAIleqkF6\nuea7HfaJOy4KaVbzyK71D703dmiG1OxtKdsskvKjzoCkBkj0Ug2S44u7VsYbF4X0VJfI0VOu\nix2aIR157i55yHgp37T4SkDt+gGJIUCiZ3PnvbEW0rJ446og7R0FdH3s0AzpeTFA3tHkyru7\nHAdIaoBEL9UgTalx1CIv3rgopDeaRR7S9Z4UOzRDki9NljtPFaLrl4CkBkj0Ug3SN9kxSOfE\nHReFtLFR2EOoyX9ihxaQov34fanZESAlNUCiZ3XnjT1Javu/OOPyNvyryYYN2+XQo5au+P0x\nlTWHlpDs0q4fkBgCJHpWd96C8TkRRz0+iDeuW9TYFLltVKf2QzbJmkMTpA/WSbmhS5cuXT9M\naUgrPvmmoPooIDHUoCGFQssfvfHW1/LtxtWRA9I94n4p14pjB++/d0mqQlr68eRDwv+T6PLn\ntdG/AhJDDRySn3FWkN4Tx62JQJotv200LSUhbbylU82LLN0/j5wCSAwBkvU4K0jntv1FVkGS\nx5+ZipDWHSMcdfsxBEgsAZL1OCtIHa+UMUi37JOKkC4RrkaHAIklQLIeZwWp6d8if2574Ecp\nH8lJQUirstyQdt8ESCwBkvU4K0itan9je2/bFIT0qvD0ISCxBEjW46wgHXZuzdEBx6YgpKe8\nkGYBEkuAZD3OCtItWcuqj70j4r+dqH4hveaFtAiQWAIk63FWkDbv3unNyLsfSqa27JKKH+xb\nm+N2tMdmQGIJkKzHWUGS77cVHQcOPbmN2HupxUDtOpL2qt0f3ZBuCAESS4BkPc4Oksy98QAh\nGh96zy82A7XrSBqk3JOcjnpE3tsASAwBkvU4S0jhyn6tsByoXUfy3tmQN/HAGkcHL46cAkgM\nAZL1OHtI9mnXkdT32q1e+uSxjYU46O7c6F8BiSFAsh5XR2kGKVLu4rWxo4DEECBZj6ujhCH9\nqmvHLu1Z7BXLncFNVrY9uLkqKoKbq7AsuLl2yuLA5qrjzptKkIp17SrXnsVemSwNbrKKkuDm\nqqwMbq6SiuDmKpVlgc1Vx53XwWbWBfs2a3fUuO/qDZIWND4hyxAe2tGzufP+cEr1i1ctJtmM\nqyMXpH4WuyoGpCACJHoWd95v96n9fcrVFuNsIe39ECDpAyR6qQUp/2jnbyYfU8ZtvKBD6xM/\nT2An+m/2mm2zAyFASnqARM98533c9VaZDuu8444+fvGPI9rv8L8T/RMOFdmdu0UCJDVAopda\nkI51v+nsSc+4Led8L+VP4k1bJh8AACAASURBVAv/O9Hvf8qA6gBJDZDopRSkdU3ckM6PN+7T\nJnn+d6LvJ+36AYkhQKJnvPN+5vlczvFxxm3p9ZcEdqIvZfEXs0KyDJDiBUj00g3S8gNGVyaw\nE335YGshPpO3XWJBSbt+QGIIkOgZ77zrGpse2i1s96hMZCf608RZT4YhzWh6PyCpARK9lIJk\nerFBftR2XuTA/070D7taFochyVsPAiQ1QKKXWpAML38Xdb97Q7gd/nei32xBFaR3swBJDZDo\npRYk9y9kH/eOW1j9i1rfO9GXHeZUQXq1DSCpARK91IIU+qZrraM/WoyrIxek351UFIG0pfdA\nQFIDJHopBim0/ORqRi0m2oyzhfRBkwOuF5eNapP1MSCpARK9VIMUCv37/H2ydz/iz99ajbOF\nJBceGdF5bGp/P5IjQGKoYUPyNc4akpT5S5ZstRqoXQcgMQRI9OoV0uZ502e8sxmQ4gVI9BoI\npF+GNY08tGs0cgcgqQESvQYC6ZKsy2fMfeOpweJqQFIDJHoNBFLbGVWH49oBkhog0WsgkHLy\nqg7fbwFIaoBEr4FAOuqTqsOpJ6Y2pPxnzup1yLBX40L6+M/9unXuc9Vc/lkBiV4DgbTw6I8q\npSx/65D/pTSk5X2rfht9xloF0orzYu/4OPEz7mkBiV4DgdR3T9Gye/fmomvPHuFSFVLu4TEs\nAwo9kD7ft/a9U23+zTwvINFrIJCO6tffUapC+mstluluSCscjoRouYh3XkCi10Ag+Um7jqRD\n6l5r5UQ3pPOEq4PzWecFJHopByn/9av6H3TY6RMWW42ro/SDtNZBpbUL0sfC05OsEwMSvVSD\n9Gqv6rtK1kXLLcbVUfpBWu6QklXphHSzF9JA1okBiV5qQSoY57izdHnfPK6O0g9SfqvaK3+g\n6yfSb7yQWrBODEj0UgvSONe9Zff/GsfVUfpBCp1be93HuiB18UISKznnBSR6KQXpVc+9pccm\n07g6SkNInzWPXfM91rkg7aVA+p5zXkCil0qQ8nt57y5/84z7ftAebU/+NIGd6Mudm6Qsmv7g\n6pSGFHq2WdX1bjPH/QvZI7w3TBbry3aARC+VIP1b+f/u/u5xuzpf9MOPF+9e6H8n+ss7TJZl\nRwux2+KUhhT64OQmYSVnful5i9CV3humL+usgEQvlSBdoUASn7jGFTxQKOUPYon/neifc+gq\n+byYuuq4c1MbUii0Yt47a0Le99r9n/d2magbnlCARC+VIB2nQvqnMm7L6J4l/nei3+EFKYf0\nlvKFrqkOqTrPe+2Od98sHdezTgZI9FIJ0gEqpHs948pzxEm5CexEP/t9Wd72L1LOz05PSJ+2\ncd0sL/BOBkj0UglSbxXSQ95xyz8YesBW/zvR7/ovOV+8L+XTndITUui1Fo5bZTLzZIBEL5Ug\nnapCelEdV77bY/53on95x1u67V8u8w9L+edI1Skfo+hYe6Nkr2aeDJDopRKkuxRHWatc497d\nf6eUle0f978T/U19RfvPpBy+29dpCulu581yGvNkgEQvlSB9leWFdKp73Na9hn23+vrmq/zv\nRF/KbZEvY/7SZn9c2vXXJ6TOzpulKfNkgEQvlSCFRnghLfCM++b0lq37LpT+d6Kf9t/Y5/7m\nqHd4JwMkeikF6btObkdXGsfVUUZ9Y99P7hvmEd7JAIleSkEKLXC9yjsgzzjOFlLaf2OfG9JM\n3skAiV5qQQp94vhd0hV55nG2kNL+G/tauCAxv2wHSPRSDFJo48RuVc+nB8y3GWcLKe2/sc/1\nq4GuzJMBEr1UgxRu0RP3/G3mj3bjbCGl/Tf2LW/igPQK82SARC8FIfkZZwsp/b+x77FaR6O4\nJwMkeg0EUgZ8Y9/T2VWMGt/IPhkg0WsgkDLhG/s2XNW1Rc5eZ3/HPxkg0WsokPCNfXUESPQa\nDiTrtOsAJIYAiV4id17DuDqqhdTDGSCpARK9hgCpv/1+vwEp2QESPcs77xevPPavuavtxllB\n8pl2/YDEECDRs7nz/nhT1Z7ks0+eYTOujgDJOkCil2KQHty99veOx3xuHldHjudIkySeI9UV\nINFLKUibL3G9NXP3143jrCD9Zor8TU2ApAZI9FIK0tXuDwuIFh+YxllB8pl2/YDEECDRM915\npwlvXdcZxtURIFkHSPRSCFLu3gokMc4wro7w8rd1gEQvhSA9rDoSrTZ4x00Xs/3uRF9kHd2/\nL54j6QMkeikE6eQ4kMRznnGb92oehuRvJ/qXt8ka+EyhWRAgBRAg0av7zpuXHQ/S5Z5xQ8fu\nNVv63Yl+0QsDGze/4O344AAJkBhKHUhfx3MkTnePe32/HWFI/neiL3Pv6yU63WSxe0hASm6A\nRK/uO+8HcSEd7Rq3tdN8GYbkfyf6kb64pr04/CFAUgMkeqkDaXFcSKe4xl1yiYxC8r0T/WjF\nb/YRjQBJDZDopQ6k3MbxII10jpvfcUsUkv+d6If7YvTuovtdaxynbHngwvNuWSHl9odGjbg7\nH5ACCZDoGX4K9IkH6XHnuPObtWvXrlHrc/zvRH/zg4eI1pf9x72X8BvHrd704MhiOWHcmo0P\nXFMBSEEESPQMkG6P46jpCue4LRvC7fmvkM+d6JfOPqtp49/N3OnZoHDSeikLBq0MnbU6/FPp\n7KWAFESARM8AaUUbFdJF6rjwQzufO9Hfs8lxk1YVV+fZavngrZ8OjUi89pXwHz/n5uZu3qpr\ne4n2LPaK5I7gJiv9Nbi5KiqCm+vXsuDm2iGLApvLACk0XnHU8hsDwDpyvLOhcdPai3RvVDhm\nunznksix8dPCf1zXp0+fIYlNh1AKFIW0+RQvpGdNP8nqqJbMnc5c22y4amqlfOfSyNEopJcn\nTpw4tVjXrnLtWeyVydLgJqsoCW6uysrg5iqpCG6uUlkW2FwmSKHVx7odTTY+JLSCpG3piDnh\nP/9b9dDuNfda4oTnSI4KFs189esE5sJzJHpGSKGNFzsYtXvZPI4E6bsLvoocbDnrx/CzrcHf\nApJ9m+/rEv4XanTMbN9zARI9M6RQaMGA6ucz7causRhHgbTrypcil14sJ9+wJveusTWv/WnX\nD0ixcmu+HOOvfucCJHo2kEKhldNuuXzMvXM2W42jQFo6KNpcuXPKxSMn1b4Uol0/IMU6v/Zx\nwzSfQwGJnh0kX+MokHyvBZCqe9vxAHyvDf7GAhK9RO68hnF1BEjW+YXkfCYrpvsbC0j0Ernz\nGsbVESBZ5xfSIU5I1/obC0j0Er1nJxYgWecXUhcnpBH+xgISPU4m5gDJOr+QDndCusHfWECi\nx8nEHCBZ5xeSa/+Dr/obC0j0OJmYAyTr/EL6JKvW0f55/sYCEj1OJuYAyTrfv0e6ocZR9iyf\nQwGJHicTc4BknV9Iy4bXfJq5xe0b/Y0FJHqcTMwBknU+Ic3b0/kc6djlvgYDEj1OJuYaGKQv\nZk77P59vMqjJH6S5zYSr7iv9jAYkepxMzDUoSM9Ff0fa4jJ/Px1i+YK0pJ3wdOJm86iaAIke\nJxNzDQhS/mWx+3THhYlM5gvSYK8jIR7zMRyQ6HEyMdeAIF1Xe59uvySByfxAel91JLpssh8P\nSPQ4mZhrOJA+dN6pz0xgMj+QxsSBJP5tPx6Q6HEyMddwIF3gulMv9j+ZH0j7x4N0hf14QKLH\nycRcw4G0l+tO/aD/yXxAyou7P9yT7ecCJHqcTMw1GEgbG7nu1Nf7n8wHpGXxHIle9nMBEj1O\nJuYaDKRN7h8SN/qfzAek7+JCOth+LkCix8nEXIOBFOrqulP7eS26Oh+Q8pvGg3SK/VyARI+T\nibmGA+kK5326yXf+J/PzYsPB8SD5+JQsINHjZGKu4UD6yvmloSMTmMwPpLHxIL1lPx6Q6HEy\nMddwIIXurb1L77sigcn8QPpvlurowHz78YBEj5OJuQYEqfYbcXp+lchkvt4idLEKaYaP4YBE\nj5OJuYYEKbRgYOThXdfbE3v/ty9IK7p5HQ3xMxcg0eNkYq5BQQqF1n4453+JTubvYxRzPL+T\n3X29n9GARI+TibkGBomSL0j5/bw/kW7zMxcg0eNkYg6QrPMF6SnlKVIzP1/vAkj0OJmYAyTr\nfEE6UH2x4UofwwGJHicTc4BknR9Ii1RHolOB/XhAosfJxBwgWecH0sQ4kMSn9uMBiR4nE3OA\nZJ0fSNfEg+Rjb6uARI+TiTlAss4PpBHxIPn4tjFAosfJxBwgWecH0p/iQXrdfjwg0eNkYg6Q\nrPMD6b54kL6wHw9I9DiZmAMk6/xA+jKOo319zAVI9DiZmAMk63z9HukwFZKfT7cDEj1OJuYA\nyTpfkF5QHLXx89ENQKLHycQcIFnn702rp3sh3e9nNCDR42RiDpCs8wdpbS+3o4t8zQVI9DiZ\nmAMk63x+rcuK452OrvPx8dgQIHHEycRchkD6+uEbrrj1NZ/f5uUzv180tumePWKMer3icy5A\nosfJxFxGQPrsjKq9P7ab6POrWn3l+6svQ2umDu7VruORl73m78dRCJA44mRiLhMgPdey5hHU\niT8mbzL/kBIPkOhxMjGXAZBmOfez1c/Hd6f4DJDoAZKSdv1BQ1rr+q5WMS5pkwESPUBS0q4/\naEjj3S8zt0ragztAogdIStr1Bw2pp+cXn/9I1mSARA+QlLTrDxjSau87CC5O1mSARA+QlLTr\nDxjSp15IA5M1GSDRAyQl7foDhvSVF1IiXw9rFSDRAyQl7foDhpTr3V396Dq2/+CmM0+54B/r\nEpsMkOgBkpJ2/UG/2HCiB5J+FyM/nFG1RfsnEpoMkOgBkpJ2/UFD8uzTtJv2N7Jf135n362J\nTAZI9ABJSbv+oCHlH+2CNF237eYjHVs9n8BkgEQPkJS06w/8LUJfd3QIuUa77eNObvtt9j8Z\nINEDJCXt+oN/0+riQ2M+ssbrdwvsfi41x/9kgEQPkJS066+Hj1Hk3R99e0Pzsz6qY9vmLkh/\n9T8ZINEDJCXt+uvnE7KLZz/3bp1fxLfe/ZrEGP+TARI9QFLSrj9FP2pekO2CNN7/ZIBED5CU\ntOtPUUihYyx/26QNkOgBkpJ2/akKabLTUYcEdu8ASPQASUm7/lSFtHFfB6QpCUwGSPQASUm7\n/lSFFPpPmxpHFyQyGRFS3tfvffqT7caARI+TibkGBCn0ySFVjLL/4nuvPpFIkBYO2z08c5Pj\nHrHbzxEg0eNkYq4hQQrlPzO0V/d+Ny9ObDICpA3n1/wwPPADmwGARI+TibmEIf2ia/su7Vns\nFckdwU1WWpjoyJ+Ocjw9a/G6xYiKikTn8l9hWXBz7ZBFgc3FycRcwpBKdZVVaM9ir1yWBzdZ\nZVmCA4tPc73yvts3FnNVJjhXApUFOFeQ/2CcTMw1qId2tBJ+aPeY+00Vor95CB7a0eNkYg6Q\nrEsUUn5XDyQxyzgGkOhxMjEHSNYlCmme15EYZRwDSPQ4mZgDJOsShfRXBdJBxjGARI+TiTlA\nsi5RSFcpkFobxwASPU4m5gDJukQhXa5Aam4cA0j0OJmYAyTrEoV0mwJpP+MYQKLHycQcIFmX\nKKR/K5CGGccAEj1OJuYAybpEIW3awwtJu6ejmgCJHicTc4BkXcK/kL3T46iXeRdGgESPk4k5\nQLIuYUi5vV2OsueahwASPU4m5gDJusTf/b2ksxOSzYcKAYkeJxNzgGQd4WMU39buMGI3q528\nAhI9TibmAMk6ygf78p88olGEUYdrVlhtD0j0OJmYAyTriB81X/bq489/YPvRXECix8nEHCBZ\nh52f0AMkJe36AYkhQKLHycQcIFkHSPQASUm7fkBiCJDocTIxB0jWARI9QFLSrh+QGAIkepxM\nzAGSdVRI+cvr/N4ZV4BEj5OJOUCyjgRp6Q29mgjRfthrdpsDEj1OJuYAyToCpM03N4u9ReiE\nJTYDAIkeJxNzgGRd4pA2DnS8Z3XPhRYjAIkeJxNzgGRd4pCGuz5G0XGZeQQg0eNkYg6QrEsY\n0gzPB/vOMA8BJHqcTMwBknUJQ+rp/aj5u8YhgESPk4k5QLIuUUgfKjs/udo4BpDocTIxB0jW\nJQrpHgXSwcYxgESPk4k5QLIuUUijFUi7G8cAEj1OJuYAybpEIV2qQMoxjgEkepxMzAGSdYlC\nGqdA2sc4BpDocTIxB0jWJQpppgLpTOMYQKLHycQcIFmXKKQNLb2QHjeOASR6nEzMAZJ1Cf8e\n6QbvI7uNxiGARI+TiTlAsi5hSKv3cUOy2LMdINHjZGIOkKxL/L12i9o4HY2zGAFI9DiZmAMk\n6wgfo/h4vxpG2X+zGZAikPJmXTOo/+lXTP+Jay5AUtKuH5DitOH2DlWMBv/XavuUgJT3cMdq\n/S3/so5nLkBS0q4fkOKWP++R2yY9v8Zy61SAtOI4x+PR/T5hmQuQlLTrBySGUgDSiu6uV0ja\nfMgxFyApadcPSAzVP6S844S7rj8wzAVIStr1AxJD9Q/pQeX9GJcwzAVIStr1AxJD9Q5p014K\npOz/0ecCJCXt+gGJoXqH9KriSIi/0ucCJCXt+gGJoXqHpH6ISojj6XMBkpJ2/ZkJadW0v/zx\nmon/CWi2+of0hziQutLnAiQl7fozEdJXQ7Oq7ksHTCsIZMJ6h/SbOJCa0+cCJCXt+jMQ0mM5\ntfemk38MYsZ6hzQwDqSO9LkASUm7/syD9FfX3emgICTVO6RL4kDqQ58LkJS06884SM977k+/\ntf1GZUL1DunpOJBuoM8FSEra9WcapA1dvHeoqUmfs/4hrW2hQrLZabkhQFLSrj/TIE1W7lDd\nkv+CQ71DCt2oXO1TGeYCJCXt+jMN0rHq/5oXJH3S+oe0xvOxXtGS4/3fgKSkXX+GQdrQRIV0\nR7InTQFIoUWt3Fd6OsdcgKSkXX+GQfpKdSSuSOSCflo0693vbDdOAUihhZ0dV7kFiyNAUtOu\nP8MgfRgH0nD/FzPrtOh39h1yt933yKYCpND3F2bFrvHveD7XB0hq2vVnGKTv4kC6zu+FrD6j\nZmyXt2wGpASkUOiL8f06Z3c44rr5XHMBkpJ2/RkGafNuKqRHfF7GDz0cg3OetRiRIpDYAyQl\n7fozDFJoqOKosfVTnao29XUNb/GBeQgg0eNkYg6QTL2mQDrK5yXc7xl/tPn3UIBEj5OJOUAy\n9YwC6VB/F7C5o/cCXjaOASRDPzw86JgD+l08s469P3MyMQdIpuI8tPvW1wX8n3IBI41jAKnO\n1l3fvPqm7PqEdiNOJuYAydR+igMx09cF3K6MP8A4BpDqavEhjhtzhO6HEicTc4BkqrniQDzg\n6wKuVMa3Mo4BpDpa0c11a56recrJycQcIJlqpkK639cFXKGMb2EcA0h1dIrn5rwv/macTMxZ\nQMq9aXDk4E+Dwg2rOVV7NTMN0r4qJIvvZXE0Xhm/v3EMIOl7xXtz7rE67nZJMxM3M6RFF0+J\nQrp0TnhxW2pO1l7PTIM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xWrajetugyU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\nyUrNlghqKn4AAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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YIdAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbAD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MEOACAQgh0AQCAEOwCAQAh2AACBEOwAAAIh2AEABEKw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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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Dcg5Q1IJQakzAEJSOqAlDcglRiQMgck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"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "p <- ggplot(data = mtcars, aes(x = hp, y = mpg, shape = factor(cyl))) + geom_point()\n",
        "\n",
        "p + facet_grid(am ~ .) +\n",
        "  labs(title = \"Miles per Gallon vs Horsepower\",\n",
        "       x = \"Horsepower\",\n",
        "       y = \"Miles per Gallon\")\n",
        "\n",
        "p <- ggplot(data = mtcars, aes(x = hp, y = mpg, shape = factor(cyl))) + geom_point()\n",
        "\n",
        "p + facet_grid(. ~ cyl) +\n",
        "  labs(title = \"Miles per Gallon vs Horsepower\",\n",
        "       x = \"Horsepower\",\n",
        "       y = \"Miles per Gallon\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 857
        },
        "id": "oZKVXCNL5U27",
        "outputId": "3c1740ee-3bb6-4aa5-fae1-ca90672ac6d4"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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UlPB5ITkHRA0tOB5AQkHZD09CRAWjd7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\nuOgD/WcESDog6em1BKmH+c8IkHRA0tOB5AQkHZD0dCA5AUkHJD0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8pVv92ytTm03HOb4lE+f0VDYb6/hMS5zT0zbOv9mWJEGalruah3RD\nXV3dhFhXRckqIe8hm4f0csddux8HH9atWLHi3a3eWnb4t1emHTYV5/jGdJzTt2YysY5PN8Y5\nPWXj/JttThCkzePesbZx/FuFjf47uzxG0vEYSU9PAqQtm5aN37QpZed+dU3DrJuzhc3+MwIk\nHZD09CRAurI+1yK7c95lk+ds6drsPyNA0gFJT08CJJH/jABJByQ9HUhOQNIBSU8HkhOQdEDS\n04HkBCQdkPR0IDkBSQckPR1ITkDSAUlPTzCkgWjV3f810EvoQ//wwECvoA/96u53BnoJg7uq\ngvTLuocHegl96Jy/GOgV9KEH654f6CUM7oDUbwGplgNSvwWkWg5I/RaQarmqgkQ0WAMSUQUC\nElEFAhJRBaoKSM5LVDovVTm423zPpRfetqpKF79u9qRLbl9ZpYvv36oBkvsSlc5LVQ7ubpqx\nev29k1NVufj01Psb1s+7uLkqF9/PVQMk5yUq3ZeqHNQ1zVln7cb6t6ty8duebA7uDtSvrsrF\n93PVAMl5iUr3pSoHfyvHb6naxTctuLatahffj1URpMJLVBa9VGV11DT94WpdfOa8+q99VK2L\n79eqCVLnS1QWvVRlVfTe1Quy1bv4N+devb1aF9+fVRGkwktUFr1UZTW0fNJiW7WLD8pctKR6\nF99/VRGkwktUui9VObj77SW/zl1U5eJfv6rF2uzkJVW5+H6uGiC5L1HpvFTloK71qsdzPwJa\nnYvfPuWb6zYsPH9DVS6+n6sGSO5LVDovVTmoW55fe/2Sqly8XXvnxAtvXW6rc/H9WzVAIhr0\nAYmoAgGJqAIBiagCAYmoAgGJqAIBiagCAYmoAgGpZ91pXuq4MnLswC6EBldA6llAIm9A6llA\nIm9A6lmlkJ4+be/dj70va+2Y0xYffqpd/+WPjzzovJXBb/zHl0btceJDwZU/PuXZz+2x37Rt\nRTsfOiH4xaPmy8HH+ebdcNeOGVSdAalnlUD6yZBzfvrMzeavrT3rhGO+s8SecvCDz/3o+AN3\n2meGnb542TXmXmtPPeCk/9r0w+ETinaeOjqQN230HwZDzjuqaNeOGVSdAaln3Wme/F2+EQGk\nYz7eGmw6d/hHdqx50tpGc1vwy3fnvG9P/IOdwbVxo1J2jMm9ZvaVZl2484/Mb639/RnmfZsd\nPb1o1/wMqtKA1LPuNIXG2vfNNblND5klduyINmvb9j/ymfxLVX1obkwF/aN51Y7ZK/fTO4+Y\np8OdPxzyXfs7s2L0Y/ZNs6ho1/wMqtKA1LPuNH//k3zDx9pXzezcpqfNQjv20Ny1X33C7H/+\nj9L2jQK2J+2YT+Z+Y4l5uGjnz06y3z/Qnnu1nT+8qWjXjhlUnQGpZxU/RnrN3JW79pR50I49\nMr+x/dlb/8ic1PyGueKlfJs6If3UPFK0818fbqdMtPcfbc87wxbt2jmDqjIg9axiSBvM1blr\nC83SYgQLzA82m6mFX43Zoz34+D2ztGjnX5g1h38nYLh+9FxbtCuQqjkg9aySZ+2OOzQVXDtn\nz8YOBL++KPey2O+ae+zJ+24Nrj0yM23HmKeDa+eO3FK0c8seM81btn3UneZ1W7QrkKo5IPWs\nEkhPDT170c+uNXM7b002jDrhoV/8y+f3edf+x/ATHvn5HcMvD26RjvjUd39xq7mseGd79ugD\nch8PODBri3YFUjUHpJ5V+g+yy76w18gTv28LCH4z4cDhh04IbmbsC386avinvpUOIB3z69P3\n3O+q7cU723vNBcHHb5hLbfGuQKrmgBRvY44e6BVQvwSkeANSQgJSvAEpIQEp3oCUkIBEVIGA\nRFSBgERUgYBEVIGARFSBgERUgYBEVIGARFSB/j8TABIFBkU1lAAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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DFHl/Ssyldjb59Asau4BfWTbE9/N584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\n"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ggplot(data = mtcars, aes(x = hp, y = mpg)) +\n",
        "  geom_point() +\n",
        "  stat_smooth(method = lm, col = \"red\") +\n",
        "  labs(title = \"Miles per Gallon vs Horsepower\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 455
        },
        "id": "-59re2OM5U7C",
        "outputId": "a0442fc7-9519-4371-b97b-82ab3e0d0b59"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\u001b[1m\u001b[22m`geom_smooth()` using formula = 'y ~ x'\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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3fs2FHrm8l2AACgQQh2ksrPz69ZvHTpUl3vZ7YsAADwHMFOUuHh4R4WXZHtAACA\nJwh2kho0aFDN4sCBA+v9RYbuAABAvQh2krrmmmtGjRql0fw2GVmv1ycnJ3s+AZZsBwAA3GC5\nE6mNHj16wIABWVlZGo0mNjY2JCSkQb+emZnJSigAAKBWBDsZhIWFJSQkNPrXWegOAADUikux\ngYrLsgAAoBqCXQAj2wEAAFcEu8DGbFkAAOBEsFMCsh0AABAIdopBtgMAAAQ75eCyLAAATRzB\nTmnIdgAANFkEOwUi2wEA0DQR7JSJy7IAADRBBLvqVGVl+jNn5O7CO8h2AAA0KQS76tq8807C\n+PFt0tNVFRVy9+IFZDsAAJoOgt0fqI8ciV63TmWxtE5PT5gwIfx//5O7Iy/gsiwAAE0Ewe4P\nglasECsrHf+tP326y1//2vGRR3QXLsjblVeQ7QAAUDyC3R+UvPRSVlpaVXCws9Js27Zed9zR\nJj1dtFplbMwrGLoDAEDZCHZ/pNHkpqRkbNp0MSnJWVOZza3T0xMmTgz74QcZW/MWsh0AAEpF\nsKuFtUWLEybTkRUrytu3dxYNp051nTevg8mkvXRJvta8g2wHAIAiEezqVNS378EPPsiZOdOm\n1/9Wstubb93aKzm55ebNos0ma3dXisuyAAAoD8HOHZtOd+aee/avX18wcKCzqC4ubrdoUY+p\nU0MzMmTszSvIdgAAKAnBrn6WNm2OvfLK8cWLK2JinMXgI0e6p6a2f+EFTVGRjL1dObIdAACK\nQbDzVP6QIRkbN55JTbXrdL+VbLYWH3/c6/bbo9evFwL5yqznl2UzMzNXrVq1bNmyHTt2+Lor\nAADQUKLdbpe7B4/k5eX5YrN6vV6j0ZSWljor9UYcw8mT7RYtCvvpJ9diSe/epxYsKOvc2RdN\nSiY+Pt7Nq+np6SaTqeLyAzmGDRu2Zs0avfMGRI/pdLqwsLDS0tLy8vJGNoqGMxgMKpWqrKxM\n7kaaEL1ebzQaOdUlZjAYRFHkmEvJYDCEhoaWlJSYzWa5e2kS1Gp1ZGRkna+aTCYJm2k8H/2F\npNFoVCqV1WWNuoKCAve/UhkRcfHmm81xccaMDPXlrnS5uS3+8Q9NcXHJVVf9PqQXaAoKCuo6\nV3bv3j19+vSqqipn5eTJk2azediwYQ3di1qt1uv1Vqu18vJa0JCARqMRRdEa+MsxBhCNRsOp\nLj3Hqc4xl5JGo9HpdBUVFRx2aahUqqCgoDpflbIVJbk0evQvH310JjXVrtU6KjutZl4AACAA\nSURBVGJVVfS6db2Sk6O2bhUCZBy0prouy27evLlmccOGDb7vCAAAeIpg13i2oKCc1NSDq1aV\nXHWVs6jNy4s3mbred5/h5En5WrtSNbNdfn5+zbcVFBQEyqV8AACaAoLdlSrr3PlQenqmyWR1\nuYgZ9tNPCRMnxi1ZogrYW5qqDd116tSp5ns6deokiqKETQEAAHcIdt4ginlJSfs3bbpw++2C\n6rdDKlZWRm/Y0GvChMhvvpG3uyvhzHZ33313q1atqr36yCOPSN4RAACoE8HOayrDwk4+/PCB\nVatKExKcRd3Zs50eeiigr8w6sl2zZs02btx4/fXXO4rR0dHLli27+eabZW0NAAD8AcudNHi5\nk3qJNluLjz9uu2KFurjYWbTp9WenTj03ZYotYOfMOhZDKSoqKi4ubtOmTaO3w3InsmC5E+mx\n3IksWO5Eeix3IjH3y50wYud9dpXq/J13ZmzenJeUJFy+BU1lsbRZuTJhwoTw776Tt71Gc0Te\nsLCwK0l1AADAdwh2vmKNjMw0mQ6/9Va5y7QD/enTXf7yl85pabqzZ2XsrdF4/hgAAP6MYOdb\nxX36HFizJistrSokxFmM2Lmz1/jxbdLTxQBcLdbz548BAACJEex8zq5W56akZGzadDEpyVlU\nmc2t09MTJkwI+/57GXtrNLIdAAB+iGAnEWtU1AmT6ciKFeUuz2M1ZGV1nTevc1qa7vx5GXtr\nHIbuAADwNwQ7SRX17Xtg7dqstDRbcLCzGLFzZ0JKSvT69aLNJmNvjUO2AwDAfxDspGbXaHJT\nUjI2bswfPtxZVJeUxL38co8pU0IzMmTsrXHIdgAA+AmCnTwqWrY8/vzzx5YssbRu7SwGHz3a\n/Z57OphMmtoezOrPuCwLAIA/INjJqSAxcf+GDWdSU+3OVYvt9uZbt/a6887o9euFQLsyS7YD\nAEBeBDuZ2fT6nNTUjHXrCi8/rUsQBE1xcdzLL/eYNi3k4EEZe2sEhu4AAJARwc4vWGJjj772\n2rElSypatXIWQw4f7nH33e2ff15dUiJjb41AtgMAQBYEOz9SkJiY4bgyq9X+VrLZWnzySa/k\n5KitW4UAeaqvA9kOAADpEez8iy0oKCc19eDq1SW9ezuL2osX402mbnPmBJ04IWNvDcVlWQAA\nJEaw80dlnTodWrky02SyRkY6i8aff+45aVLckiXqsjIZe2sosh0AAJIh2PkrUcxLStq/efP5\n228XVL99TWJlZfSGDQkpKZFffy1rcw3D0B0AANIg2Pm1SqPx1MMPH3z33dLu3Z1F3blznRYs\n6DJ/vj47W8beGopsBwCArxHsAkBpjx4H33sv02SqjIhwFsN37eo1fnzb119XVVTI2FuDkO0A\nAPAp0R4gcy1916co/uEgHDp0yEc7unKaS5davvRSxKefus6QrYiLO/fooyWDBsnYWEP16NEj\nUE48Jal2qkMCHHM0EZzqUrLZbGq1uq5XA+abyMvL88Vm9Xq9RqMpLS11Vvx/VCl07972ixYF\nHT/uWiwYNOjUQw9VxMTI1ZXnNBqNwWCIi4srLy+Xu5cmxGAwqFSqsoCaeRPo9Hq90WgsLS3l\nVJeSwWAQRZFjLiWDwRAaGlpSUmI2m+XupUlQq9WRLnMrq+FSbOAp6dPnwJo1p++/vyo42FmM\n2LmzV0pKzJo1YmWljL157tixY/6foQEACCwEu4BkV6vPTZyYsXnzxaQkZ1FVXt522bKElJTw\n77+XsbcGIdsBAOBFBLsAZo2KOmEyHV6xojw+3lk0ZGV1mTevc1qa7vx5GXvzHNkOAABvIdgF\nvOK+fQ+sWZMzZ47NYHAWI3buTEhJid64UbTZZOzNQyx0BwCAVxDslMCu052ZPj3jo49cr8yq\nS0riXnqpx+TJob/8ImNvniPbAQBwhQh2ylHRosUJk+nYkiWW1q2dxeBjx7qnpnYwmTT5+TL2\n5iGG7gAAuBIEO6UpSEzcv2HDmdRUm073W8lub751a68774xev14IkCuzcrcAAEBAItj5SlVV\nVVVVlSy7tun1Oamp+9etKxwwwFnUFBfHvfxyj2nTQg4ckKWrBiHbAQDQCCxQ7P0FirOysv7x\nj3+cPn1aFMX4+Phbb721tcu1UYlF7NjRbvFi3blzv5dUqos33ZQ1f35leLgsLTkWKLZYLFar\ntd43x7tM+MWVYIFi6bFAsSxYoFh6LFAsMRYoltT58+fffPPNkydPVlVVVVZWHjt27I033siX\n7/62gsTEjI0bz6Sm2rXa30o2W/OtWxNSUqK2bhX8PtYzdAcAgOcIdl72r3/9y2KxuFbKy8v/\n/e9/y9WPIAg2gyEnNXX/hx8W9e/vLGovXow3mbrNnh30668y9uYJZlQAAOAhgp2XnXO96HnZ\n2bNnpe+kGnO7dkeWLcs0mazNmjmLxj17ek6eHLdkidrvr9CR7QAAqBfBzssMLqsEuy/KQBTz\nkpIyNm3KHT/ervrtqxcrK6M3bOiVnBy1dau83dWLoTsAANwj2HlZ7969axb79OkjfSd1qTIa\nsx544ODq1SUJCc6i9sKFeJOp6733Gk6elK81j5DtAACoC8HOyxITExNcApMgCNdcc811110n\nVz91Keva9dA772SaTJUREc5i2E8/Jdx1V9vXX1dVVMjYW73IdgAA1IrlTry/3IkgCIcOHXJs\np1OnTl26dLnyDfqOpqiodXp69KZNrmsXW9q0OfXgg4UDB/pkjw1Z7sQ9FkPxHMudSI/lTmTB\ncifSY7kTiblf7oRg55NgF3BC9+5tt2hR8PHjrsX8YcOy0tIqoqO9uy8vBjuBbOcxgp30CHay\nINhJj2AnMdaxQ/1K+vQ5uGZNVlpaVUiIsxi5fXuv5OQ26emiH1+ZZUYFAABOBLvq4i+TuxGp\n2dXq3JSUjI0bL40c6SyqzObW6ek9J00K271bxt7qRbYDAEAg2LnRNOOdtUWLX5999sjrr5vb\ntXMWg06e7DpnTofHH9f65oK4VzB0BwAAwa4eTTPeFfXvv3/duqy0NFtwsLPY/Msvr7rjjpj3\n3xerqmTszT2yHQCgKSPYeaQJxju7RpObkpKxadPFpCRnUVVe3vb113tMmRK6b5+MvbnH0B0A\noMki2DVAE4x3FS1anDCZjr38sqV1a2cx+Nix7jNnxj/zjKagQMbe3CPbAQCaIIJdgzXBeFcw\naND+DRvOzJhh1+l+K9ntUZ9+2uvOO1t88onrAnh+hWwHAGhqWMeu+jp2DdWk0oM+O7vdSy+F\n//e/rsWybt1OLlhQ+sfnbbjh3XXsPNHUgnitWMdOeqxjJwvWsZMe69hJjHXsfKtJDeBZ2rY9\nunTp8eefr2jZ0lkMPny4+z33tFu8WF1cLGNvbjSp8A0AaMoIdt7RpOJd/vDhGZs3n0lNtWu1\njopos7XctOmq229v8ckngl+OATOjAgDQFBDsvKnpxDubwZCTmrp/3bqi/v2dRU1hYfvnn+82\na1bQr7/K2JsbZDsAgLIR7Lyv6cQ7c1zckddf//X5563NmjmLxr17e06aFLdkidovb+di6A4A\noGAEO19pOvHu0vDhGZs25Y4fb1f9djqJVVXRGzb0Sk6O2rpV3t7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kZDsACHQEOwSeq6++eujQodWKERER1157rRzteMSuVuempGRs3Hgx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\nBwAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ggplot(data = mtcars, aes(x = wt, y = mpg)) +\n",
        "  geom_point() +\n",
        "  stat_smooth(method = lm, col = \"red\") +\n",
        "  scale_y_continuous(\"Miles per Gallon\", limits = c(2, 35), expand = c(0, 0)) +\n",
        "  scale_x_continuous(\"Weight\", limits = c(0, 25), expand = c(0, 0)) +\n",
        "  coord_equal() +\n",
        "  labs(title = \"Miles per Gallon vs Weight\",\n",
        "       x = \"Weight\",\n",
        "       y = \"Miles per Gallon\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 455
        },
        "id": "uVZs71DY5VAu",
        "outputId": "f511eee9-7305-4af7-cee6-686b177c912e"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\u001b[1m\u001b[22m`geom_smooth()` using formula = 'y ~ x'\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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cXEBQsWyD0//PDD+++/X+034H+km95V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\nfQAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ggplot(data = mtcars, aes(x = wt, y = hp, col = am)) +\n",
        "                        geom_point() + geom_smooth() +\n",
        "                        coord_cartesian(xlim = c(3, 6))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 583
        },
        "id": "QJZD88bu5VDK",
        "outputId": "400e3132-d7f8-46bd-e428-2a1b56510148"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\u001b[1m\u001b[22m`geom_smooth()` using method = 'loess' and formula = 'y ~ x'\n",
            "Warning message:\n",
            "“\u001b[1m\u001b[22mThe following aesthetics were dropped during statistical transformation:\n",
            "\u001b[32mcolour\u001b[39m.\n",
            "\u001b[36mℹ\u001b[39m This can happen when ggplot fails to infer the correct grouping structure in\n",
            "  the data.\n",
            "\u001b[36mℹ\u001b[39m Did you forget to specify a `group` aesthetic or to convert a numerical\n",
            "  variable into a factor?”\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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pUuJN5OnTo1re2NRmP45TIQCMhUkmYY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\nk/1SbE1NzSuvvDLut2w227e+9a3o25FQNDOniSSJr+4rfvNQYeQ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sjTmt/WeeKIrS7Zc3XTY39qOYZyg1xT5BeyyHoAMAYkuSZx47Bk8g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\nAElFTkSuQmCC"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ggplot(data = mtcars, aes(x = hp, y = mpg)) +\n",
        "  geom_point() +\n",
        "  facet_grid(. ~ cyl) +\n",
        "  theme(plot.background = element_rect(fill = \"blue\", colour = \"gray\")) +\n",
        "  labs(title = \"Miles per Gallon vs Horsepower\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "NLnoxKME5VFh",
        "outputId": "452f4fab-8c5b-43bb-d477-906b01fab5d4"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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DQajTY2NjaPhMNhg/1gNwQ7xDF79uxL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\nAC7K2LGt/x8MwJxLaz0TZAAAAABJRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ggplot(data = mtcars, aes(x = hp, y = mpg)) +\n",
        "        geom_point() + facet_grid(am ~ cyl) +\n",
        "        theme_gray()+\n",
        " labs(title = \"Miles per Gallon vs Horsepower\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "wuMuMOac5VH6",
        "outputId": "91e24215-7515-4777-9471-507fc81aa621"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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aaibuKKivIl01uABCT7830AyWxZMHbc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"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "install.packages(\"ggplot2\")\n",
        "library(ggplot2)\n",
        "\n",
        "ggplot(mtcars, aes(x = wt, y = mpg)) +\n",
        "  stat_density_2d(aes(fill = ..level..), geom = \"polygon\", color = \"white\") +\n",
        "  scale_fill_viridis_c() +\n",
        "  labs(title = \"2D Density Contour Plot of mtcars Dataset\",\n",
        "       x = \"Weight (wt)\",\n",
        "       y = \"Miles per Gallon (mpg)\",\n",
        "       fill = \"Density\") +\n",
        "  theme_minimal()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 547
        },
        "id": "8Yw2ejUs5VKa",
        "outputId": "9992aa7d-6e6b-48c3-bf2c-01b6b1427e31"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "Warning message:\n",
            "“\u001b[1m\u001b[22mThe dot-dot notation (`..level..`) was deprecated in ggplot2 3.4.0.\n",
            "\u001b[36mℹ\u001b[39m Please use `after_stat(level)` instead.”\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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0ObE0yMmXYWAAAAClDYuQ2WZfc782oTjWCMpr1/nqGya+txqxN3G9CprKD8bPRF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kKOIAgJb2bnTUfYEwifj3hulG2kqRWfnr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J1Yietj5k7er5CTRhFCIpHo9w0XP7zJSpjXf0F8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\nAAAAAElFTkSuQmCC"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "library(ggplot2)\n",
        "install.packages(\"gridExtra\")\n",
        "library(gridExtra)\n",
        "\n",
        "selected_cols <- c(\"mpg\", \"disp\", \"hp\", \"drat\")\n",
        "selected_data <- mtcars[, selected_cols]\n",
        "\n",
        "hist_plot_mpg <- ggplot(selected_data, aes(x = mpg)) +\n",
        "  geom_histogram(binwidth = 2, fill = \"blue\", color = \"white\") +\n",
        "  labs(title = \"Histogram: Miles per Gallon\", x = \"Miles per Gallon\", y = \"Frequency\")\n",
        "\n",
        "hist_plot_disp <- ggplot(selected_data, aes(x = disp)) +\n",
        "  geom_histogram(binwidth = 50, fill = \"red\", color = \"white\") +\n",
        "  labs(title = \"Histogram: Displacement\", x = \"Displacement\", y = \"Frequency\")\n",
        "\n",
        "hist_plot_hp <- ggplot(selected_data, aes(x = hp)) +\n",
        "  geom_histogram(binwidth = 20, fill = \"green\", color = \"white\") +\n",
        "  labs(title = \"Histogram: Horsepower\", x = \"Horsepower\", y = \"Frequency\")\n",
        "\n",
        "hist_plot_drat <- ggplot(selected_data, aes(x = drat)) +\n",
        "  geom_histogram(binwidth = 0.5, fill = \"orange\", color = \"white\") +\n",
        "  labs(title = \"Histogram: Drat\", x = \"Drat\", y = \"Frequency\")\n",
        "\n",
        "\n",
        "grid.arrange(hist_plot_mpg, hist_plot_disp, hist_plot_hp, hist_plot_drat,\n",
        "             ncol = 2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 656
        },
        "id": "qgJin1nV5VNU",
        "outputId": "174ea774-2650-4089-b85e-6a35df013b07"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "\n",
            "Attaching package: ‘gridExtra’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:dplyr’:\n",
            "\n",
            "    combine\n",
            "\n",
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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nAvwEBAjBkTjw15PKK4WFXVSPtEGyyfzxefwi66gYuO9tbitjlN3LalvTu/32+y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\nAABwEEjsAAAAABwEEjsAAAAAB/H/N6UbLrBdMK4AAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plot <- ggplot(data = mtcars, aes(x = hp, y = mpg)) +\n",
        "  geom_point() +\n",
        "  labs(title = \"Miles per Gallon vs Horsepower\")\n",
        "\n",
        "# Save the plot as an image file (e.g., PNG or PDF)\n",
        "ggsave(\"plot.png\", plot)\n",
        "ggsave(\"plot.pdf\", plot)\n",
        "\n",
        "extracted_plot <- plot\n",
        "plot"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 474
        },
        "id": "_of9HeSOLIqu",
        "outputId": "bfecc01d-341d-4a7a-8d1b-8616dcce6d43"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\u001b[1m\u001b[22mSaving 6.67 x 6.67 in image\n",
            "\u001b[1m\u001b[22mSaving 6.67 x 6.67 in image\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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SSLgKQISEDyGZAUs4FkEZAUASlbSBvD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\nYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "YjzgMaF3LItl"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}