adash333/200725_.ipynb Secret

## 200725_.ipynb
{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "200725_折れ線グラフ.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "ir",
      "display_name": "R"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/adash333/0f3f92e0d1676d27a5985c57a0eff1e6/200725_.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jir8VI_5SM_i",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 632
        },
        "outputId": "cadb5c34-067f-43f1-fad4-0b473bb1fea4"
      },
      "source": [
        "library(tidyverse)\n",
        "BOD\n",
        "g <- ggplot(BOD, aes(x=Time, y=demand)) + \n",
        "  geom_line()\n",
        "g"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  Time demand\n",
              "1 1     8.3  \n",
              "2 2    10.3  \n",
              "3 3    19.0  \n",
              "4 4    16.0  \n",
              "5 5    15.6  \n",
              "6 7    19.8  "
            ],
            "text/latex": "A data.frame: 6 × 2\n\\begin{tabular}{ll}\n Time & demand\\\\\n <dbl> & <dbl>\\\\\n\\hline\n\t 1 &  8.3\\\\\n\t 2 & 10.3\\\\\n\t 3 & 19.0\\\\\n\t 4 & 16.0\\\\\n\t 5 & 15.6\\\\\n\t 7 & 19.8\\\\\n\\end{tabular}\n",
            "text/markdown": "\nA data.frame: 6 × 2\n\n| Time &lt;dbl&gt; | demand &lt;dbl&gt; |\n|---|---|\n| 1 |  8.3 |\n| 2 | 10.3 |\n| 3 | 19.0 |\n| 4 | 16.0 |\n| 5 | 15.6 |\n| 7 | 19.8 |\n\n",
            "text/html": [
              "<table>\n",
              "<caption>A data.frame: 6 × 2</caption>\n",
              "<thead>\n",
              "\t<tr><th scope=col>Time</th><th scope=col>demand</th></tr>\n",
              "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><td>1</td><td> 8.3</td></tr>\n",
              "\t<tr><td>2</td><td>10.3</td></tr>\n",
              "\t<tr><td>3</td><td>19.0</td></tr>\n",
              "\t<tr><td>4</td><td>16.0</td></tr>\n",
              "\t<tr><td>5</td><td>15.6</td></tr>\n",
              "\t<tr><td>7</td><td>19.8</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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o+gASwzAUkYhCQ3YVZlhSTeKdlT/x+T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",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DZk-Tse0Qvck",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        },
        "outputId": "97c67a19-ea2d-4801-b8ef-75d11f0b90ed"
      },
      "source": [
        "# Time列が、数値型で連続値と捉えれられているため,\n",
        "# Time=6に該当するデータが存在しないのに、図示されている。\n",
        "# 離散値とするためには、factor()関数を用いる。\n",
        "# しかし、Timeを（numericではなく）factorにしてしまうと、ggplotでは、geom_lineで折れ線グラフをひいてくれなくなってしまう。\n",
        "# aes()の中に、group = 1 を入れると、factorでも折れ線グラフを記載できる\n",
        "\n",
        "# groupが2つ以上あると、factorでも、折れ線グラフを描いてくれる\n",
        "# g <- ggplot(df2,aes(x=dose,y=len,color=supp,group=supp)\n",
        "# https://yyhhyy.hatenablog.com/entry/2016/08/21/170000\n",
        "\n",
        "BOD_1 <- BOD\n",
        "BOD_1$Time <- factor(BOD_1$Time)\n",
        "str(BOD_1)\n",
        "\n",
        "g <- ggplot(BOD_1, aes(x=Time, y=demand, group = 1)) + \n",
        "  geom_line()\n",
        "g"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "'data.frame':\t6 obs. of  2 variables:\n",
            " $ Time  : Factor w/ 6 levels \"1\",\"2\",\"3\",\"4\",..: 1 2 3 4 5 6\n",
            " $ demand: num  8.3 10.3 19 16 15.6 19.8\n",
            " - attr(*, \"reference\")= chr \"A1.4, p. 270\"\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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aPOtvc1Cyn82YCmEkirazRS/tcQkMTihjTGwX9kPQApnK6mEkj9aZTwrPIBkljc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\nYuj/AzJF4TwccLlTAAAAAElFTkSuQmCC",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "grgSApPzSgoQ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 592
        },
        "outputId": "7e04a48f-cf95-4d47-e43f-0e9197d52767"
      },
      "source": [
        "# numericであれば、geom_lineで普通に折れ線グラフを描ける\n",
        "# https://stackoverflow.com/questions/27082601/ggplot2-line-chart-gives-geom-path-each-group-consist-of-only-one-observation\n",
        "df <- structure(list(year = c(1, 2, 3, 4), pollution = structure(c(346.82, \n",
        "134.308821199349, 130.430379885892, 88.275457392443), .Dim = 4L, .Dimnames = list(\n",
        "    c(\"1999\", \"2002\", \"2005\", \"2008\")))), .Names = c(\"year\", \n",
        "\"pollution\"), row.names = c(NA, -4L), class = \"data.frame\")\n",
        "\n",
        "df\n",
        "\n",
        "df[] <- lapply(df, as.numeric) # make all columns numeric\n",
        "\n",
        "ggplot(df, aes(year, pollution)) +\n",
        "           geom_point() +\n",
        "           geom_line() +\n",
        "           labs(x = \"Year\", \n",
        "                y = \"Particulate matter emissions (tons)\", \n",
        "                title = \"Motor vehicle emissions in Baltimore\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  year pollution\n",
              "1 1    346.82000\n",
              "2 2    134.30882\n",
              "3 3    130.43038\n",
              "4 4     88.27546"
            ],
            "text/latex": "A data.frame: 4 × 2\n\\begin{tabular}{ll}\n year & pollution\\\\\n <dbl> & <dbl>\\\\\n\\hline\n\t 1 & 346.82000\\\\\n\t 2 & 134.30882\\\\\n\t 3 & 130.43038\\\\\n\t 4 &  88.27546\\\\\n\\end{tabular}\n",
            "text/markdown": "\nA data.frame: 4 × 2\n\n| year &lt;dbl&gt; | pollution &lt;dbl&gt; |\n|---|---|\n| 1 | 346.82000 |\n| 2 | 134.30882 |\n| 3 | 130.43038 |\n| 4 |  88.27546 |\n\n",
            "text/html": [
              "<table>\n",
              "<caption>A data.frame: 4 × 2</caption>\n",
              "<thead>\n",
              "\t<tr><th scope=col>year</th><th scope=col>pollution</th></tr>\n",
              "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><td>1</td><td>346.82000</td></tr>\n",
              "\t<tr><td>2</td><td>134.30882</td></tr>\n",
              "\t<tr><td>3</td><td>130.43038</td></tr>\n",
              "\t<tr><td>4</td><td> 88.27546</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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JBU0YW0p07ddCt2zHyAxBggqaJ8Xrvb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\nQsiCAAkhCwIkhCwIkBCyIEBCyIL+HzdbpNll/0lrAAAAAElFTkSuQmCC",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KWQVOVhXUin2",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 575
        },
        "outputId": "b27c4a75-d909-411c-af0e-63ddaaa0a4d1"
      },
      "source": [
        "# tibble, tribbleについては以下のページを参考に\n",
        "# https://opur.club/textbook/2018-2-2/#tibble\n",
        "d <- tribble(\n",
        "  ~year, ~pollution, \n",
        "  #----|-------\n",
        "  1999, 346.82,\n",
        "  2002, 134.30, \n",
        "  2005, 130.43, \n",
        "  2008, 88.275\n",
        ")\n",
        "d\n",
        "ggplot(d, aes(year, pollution, group = 1)) +\n",
        "         geom_point() +\n",
        "         geom_line() +\n",
        "         labs(x = \"Year\", y = \"Particulate matter emissions (tons)\", \n",
        "              title = \"Motor vehicle emissions in Baltimore\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  year pollution\n",
              "1 1999 346.820  \n",
              "2 2002 134.300  \n",
              "3 2005 130.430  \n",
              "4 2008  88.275  "
            ],
            "text/latex": "A tibble: 4 × 2\n\\begin{tabular}{ll}\n year & pollution\\\\\n <dbl> & <dbl>\\\\\n\\hline\n\t 1999 & 346.820\\\\\n\t 2002 & 134.300\\\\\n\t 2005 & 130.430\\\\\n\t 2008 &  88.275\\\\\n\\end{tabular}\n",
            "text/markdown": "\nA tibble: 4 × 2\n\n| year &lt;dbl&gt; | pollution &lt;dbl&gt; |\n|---|---|\n| 1999 | 346.820 |\n| 2002 | 134.300 |\n| 2005 | 130.430 |\n| 2008 |  88.275 |\n\n",
            "text/html": [
              "<table>\n",
              "<caption>A tibble: 4 × 2</caption>\n",
              "<thead>\n",
              "\t<tr><th scope=col>year</th><th scope=col>pollution</th></tr>\n",
              "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
              "</thead>\n",
              "<tbody>\n",
              "\t<tr><td>1999</td><td>346.820</td></tr>\n",
              "\t<tr><td>2002</td><td>134.300</td></tr>\n",
              "\t<tr><td>2005</td><td>130.430</td></tr>\n",
              "\t<tr><td>2008</td><td> 88.275</td></tr>\n",
              "</tbody>\n",
              "</table>\n"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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itAYmU3SB/QRTpOywiQWAESK7tBEqcl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\nJynHjPYApIdpDCBxAiRlQXNIdT6UsuFSKb9s6QFI2xs3OaRtmAA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ppItpKSAxAiRACmkuNTq+//f65gESJ0CymG0hbW9Lvhr+oG0gIHEC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",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "tags": [],
            "image/png": {
              "width": 420,
              "height": 420
            },
            "text/plain": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fu5EIoJVVLpb",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}