R Data Visualizations with ggplot2.ipynb

{
  "cells": [
    {
      "metadata": {
        "collapsed": true
      },
      "cell_type": "markdown",
      "source": "### R Data Visualizations with ggplot2\n"
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "# get the library\nlibrary(ggplot2)\n# grammar of graphics with layers concept\n#1. data layer -- On what data to perform the plot\n#2. aesthetics layer -- what are the plot elements\n#3. geometries layer -- Type of plot \n#4. Facets\n#5. Statistics\n#6. coordinates ( Theme layer)\n\n",
      "execution_count": 16,
      "outputs": []
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "head(mtcars,3)",
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "              mpg  cyl disp hp  drat wt    qsec  vs am gear carb\nMazda RX4     21.0 6   160  110 3.90 2.620 16.46 0  1  4    4   \nMazda RX4 Wag 21.0 6   160  110 3.90 2.875 17.02 0  1  4    4   \nDatsun 710    22.8 4   108   93 3.85 2.320 18.61 1  1  4    1   ",
            "text/latex": "A data.frame: 3 x 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\\end{tabular}\n",
            "text/markdown": "\nA data.frame: 3 x 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\n",
            "text/html": "<table>\n<caption>A data.frame: 3 x 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</tbody>\n</table>\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt <- ggplot(data = mtcars, aes(x = mpg, y= hp))\nplt <- plt+geom_point() # this is for the scatter plot\n",
      "execution_count": 24,
      "outputs": []
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt # we can see a sort of co-relation here higher the hp, lesser the milage.",
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "",
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WqMTGzECVlYIuCWABJHFffHwtuPijceDNSb4i2fhSz8VieQWUfhq4uZbIw+Wnlm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\nXn/PIf8AfQo/sS8/55D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          },
          "metadata": {
            "image/svg+xml": {
              "isolated": true
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          }
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "# Adding the other 3 layers one by one and see the effect",
      "execution_count": 26,
      "outputs": []
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt <- plt + facet_grid(cyl~.)\nplt <- plt+stat_smooth()\nplt",
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "stream",
          "text": "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "",
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/yBbj/roP6Vn1rRXcp0mZyw3CQAHaPaqP2+f+8v/fA/woAr0VY+3z/3l/74H+FH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          },
          "metadata": {
            "image/svg+xml": {
              "isolated": true
            }
          }
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "markdown",
      "source": "####  Histogram frequency plot"
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt <- ggplot(data = mtcars, aes(x = mpg))\n## Add layers \nplt <- plt+ geom_histogram(binwidth =5, color = 'red', fill = 'blue', alpha = 0.3)\n#Adding lables for x an and y\nplt <- plt+ xlab('Mileage of cars') + ylab('Frequency')\n# Adding title to the plot\nplt <- plt + ggtitle(\" Mileage Histogram\")\nplt",
      "execution_count": 64,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "",
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P2GPkt8sG3YOWY8DqT61f8ACvgzw/4F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\nFH/0zTIKK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TP+wmv/oyevW68k+DP/I/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\n+t8Of9C+f/g//wC5Hwt/wvDRv+gXr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          },
          "metadata": {
            "image/svg+xml": {
              "isolated": true
            }
          }
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "####  Scatter plot"
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "plt<- ggplot(data = mtcars, aes(x = wt, y = mpg))\nplt <- plt+geom_point(aes(size = hp))\nplt",
      "execution_count": 77,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "",
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xWfW5dW1s1laq11tRQ21th+aub8WeJfCngPQ59Z8SeJ7DQdJgx5t7qMqwQoTwAW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