{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Welcome to Jupyter Notebooks ##\n",
"\n",
"Jupyter notebooks allow you to mix code (here we use R, but could be python) with markdown, a simple text formatting language. Each blob is either markdown or code. This blob is markdown. We can make a list:\n",
"- item 1\n",
"- item 2\n",
"\n",
"or write math in latex inline $\\int_0^1 x^2 dx$ or as its own display\n",
"$$e = Mc^2$$\n",
"\n",
"By double click on the blob you can edit it (either code or markdown). Render text or run code with the play button (\">|\") above or control-enter.\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"11"
],
"text/latex": [
"11"
],
"text/markdown": [
"11"
],
"text/plain": [
"[1] 11"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## this is an R code blob\n",
"## write R code\n",
"a <- 5\n",
"b <- 6\n",
"a + b\n",
"## again we run code with the \">|\""
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\t- 'Sepal.Length'
\n",
"\t- 'Sepal.Width'
\n",
"\t- 'Petal.Length'
\n",
"\t- 'Petal.Width'
\n",
"\t- 'Species'
\n",
"
\n"
],
"text/latex": [
"\\begin{enumerate*}\n",
"\\item 'Sepal.Length'\n",
"\\item 'Sepal.Width'\n",
"\\item 'Petal.Length'\n",
"\\item 'Petal.Width'\n",
"\\item 'Species'\n",
"\\end{enumerate*}\n"
],
"text/markdown": [
"1. 'Sepal.Length'\n",
"2. 'Sepal.Width'\n",
"3. 'Petal.Length'\n",
"4. 'Petal.Width'\n",
"5. 'Species'\n",
"\n",
"\n"
],
"text/plain": [
"[1] \"Sepal.Length\" \"Sepal.Width\" \"Petal.Length\" \"Petal.Width\" \"Species\" "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## make plots\n",
"data(iris)\n",
"names(iris)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAIAAAADp837AAAACXBIWXMAABJ0AAASdAHeZh94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\nR45EVN0AAAAASUVORK5CYII="
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## super simple R plot\n",
"plot(iris$Sepal.Length,iris$Sepal.Width,col=iris$Species)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nCCGG+j/FKh72MUUvpAAAAABJRU5ErkJggg=="
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## change plot size\n",
"options(repr.plot.width = 4, repr.plot.height = 4)\n",
"plot(iris$Sepal.Length,iris$Sepal.Width,col=iris$Species)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### Some Basic Markdown ###\n",
"\n",
"Markdown supports links. For example, we will use the Netflix data in this class - [Netflix](https://www.kaggle.com/netflix-inc/netflix-prize-data)\n",
"\n",
"And easy lists\n",
"\n",
"1. first\n",
"2. second\n",
"3. third\n",
"\n",
"There are many online references for markdown. I suggest learning as you go by google searching. You will not need to learn a lot of markdown for this class, just enough to make reports look nice.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Jupyter Notebook Output ###\n",
"\n",
"You can turn Jupyter notebooks into webpages, pdfs, plain code, and markdown files by clicking \"File\" -> \"Download As\" These options can be useful for sharing the output of your notebook in static form.\n",
"\n",
"For submitting homework, download your notebook as .html, print in, and submit a hard copy in class. The homeworks for this class are assigned as Jupyter notebooks, which you can edit as you work on the solutions."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Running Jupyter Notebooks Remotely ###\n",
"\n",
"If you do not have the Jupyter notebook software running on your computer, you can still create and view notebooks remotely through the Jupyter project website. \n",
"\n",
"- [Run a Jupyter Notebook](https://try.jupyter.org/)\n",
"- [View a Jupyter Notebook in HTML](http://nbviewer.jupyter.org/)\n",
"\n",
"It's not a good idea to use the Run a Jupyter Notebook link to start a serious project because it is difficult / impossible to get R/python packages imported and the server may not save your work. The View a Jupyter Notebook is nice if you have a .ipynb file on a computer than does not have Jupyter installed. This tool allows you to still view the code / markdown."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Homework Demo ###\n",
"Check out the [homework 1](http://longjp.github.io/statcomp/hw/hw1.ipynb) notebook. Homework 1 is due January 31 in class."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### ggplot ###\n",
"ggplot is an R package for making nice plots. ggplots tend to look nicer than plots made by the default R plotting functions. Here is an example taken from [ggplot examples](http://r-statistics.co/Top50-Ggplot2-Visualizations-MasterList-R-Code.html)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"manufacturer | model | displ | year | cyl | trans | drv | cty | hwy | fl | class |
\n",
"\n",
"\taudi | a4 | 1.8 | 1999 | 4 | auto(l5) | f | 18 | 29 | p | compact |
\n",
"\taudi | a4 | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | compact |
\n",
"\taudi | a4 | 2.0 | 2008 | 4 | manual(m6) | f | 20 | 31 | p | compact |
\n",
"\taudi | a4 | 2.0 | 2008 | 4 | auto(av) | f | 21 | 30 | p | compact |
\n",
"\taudi | a4 | 2.8 | 1999 | 6 | auto(l5) | f | 16 | 26 | p | compact |
\n",
"\taudi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact |
\n",
"\taudi | a4 | 3.1 | 2008 | 6 | auto(av) | f | 18 | 27 | p | compact |
\n",
"\taudi | a4 quattro | 1.8 | 1999 | 4 | manual(m5) | 4 | 18 | 26 | p | compact |
\n",
"\taudi | a4 quattro | 1.8 | 1999 | 4 | auto(l5) | 4 | 16 | 25 | p | compact |
\n",
"\taudi | a4 quattro | 2.0 | 2008 | 4 | manual(m6) | 4 | 20 | 28 | p | compact |
\n",
"\taudi | a4 quattro | 2.0 | 2008 | 4 | auto(s6) | 4 | 19 | 27 | p | compact |
\n",
"\taudi | a4 quattro | 2.8 | 1999 | 6 | auto(l5) | 4 | 15 | 25 | p | compact |
\n",
"\taudi | a4 quattro | 2.8 | 1999 | 6 | manual(m5) | 4 | 17 | 25 | p | compact |
\n",
"\taudi | a4 quattro | 3.1 | 2008 | 6 | auto(s6) | 4 | 17 | 25 | p | compact |
\n",
"\taudi | a4 quattro | 3.1 | 2008 | 6 | manual(m6) | 4 | 15 | 25 | p | compact |
\n",
"\taudi | a6 quattro | 2.8 | 1999 | 6 | auto(l5) | 4 | 15 | 24 | p | midsize |
\n",
"\taudi | a6 quattro | 3.1 | 2008 | 6 | auto(s6) | 4 | 17 | 25 | p | midsize |
\n",
"\taudi | a6 quattro | 4.2 | 2008 | 8 | auto(s6) | 4 | 16 | 23 | p | midsize |
\n",
"\tchevrolet | c1500 suburban 2wd | 5.3 | 2008 | 8 | auto(l4) | r | 14 | 20 | r | suv |
\n",
"\tchevrolet | c1500 suburban 2wd | 5.3 | 2008 | 8 | auto(l4) | r | 11 | 15 | e | suv |
\n",
"\tchevrolet | c1500 suburban 2wd | 5.3 | 2008 | 8 | auto(l4) | r | 14 | 20 | r | suv |
\n",
"\tchevrolet | c1500 suburban 2wd | 5.7 | 1999 | 8 | auto(l4) | r | 13 | 17 | r | suv |
\n",
"\tchevrolet | c1500 suburban 2wd | 6.0 | 2008 | 8 | auto(l4) | r | 12 | 17 | r | suv |
\n",
"\tchevrolet | corvette | 5.7 | 1999 | 8 | manual(m6) | r | 16 | 26 | p | 2seater |
\n",
"\tchevrolet | corvette | 5.7 | 1999 | 8 | auto(l4) | r | 15 | 23 | p | 2seater |
\n",
"\tchevrolet | corvette | 6.2 | 2008 | 8 | manual(m6) | r | 16 | 26 | p | 2seater |
\n",
"\tchevrolet | corvette | 6.2 | 2008 | 8 | auto(s6) | r | 15 | 25 | p | 2seater |
\n",
"\tchevrolet | corvette | 7.0 | 2008 | 8 | manual(m6) | r | 15 | 24 | p | 2seater |
\n",
"\tchevrolet | k1500 tahoe 4wd | 5.3 | 2008 | 8 | auto(l4) | 4 | 14 | 19 | r | suv |
\n",
"\tchevrolet | k1500 tahoe 4wd | 5.3 | 2008 | 8 | auto(l4) | 4 | 11 | 14 | e | suv |
\n",
"\t⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
\n",
"\ttoyota | toyota tacoma 4wd | 3.4 | 1999 | 6 | auto(l4) | 4 | 15 | 19 | r | pickup |
\n",
"\ttoyota | toyota tacoma 4wd | 4.0 | 2008 | 6 | manual(m6) | 4 | 15 | 18 | r | pickup |
\n",
"\ttoyota | toyota tacoma 4wd | 4.0 | 2008 | 6 | auto(l5) | 4 | 16 | 20 | r | pickup |
\n",
"\tvolkswagen | gti | 2.0 | 1999 | 4 | manual(m5) | f | 21 | 29 | r | compact |
\n",
"\tvolkswagen | gti | 2.0 | 1999 | 4 | auto(l4) | f | 19 | 26 | r | compact |
\n",
"\tvolkswagen | gti | 2.0 | 2008 | 4 | manual(m6) | f | 21 | 29 | p | compact |
\n",
"\tvolkswagen | gti | 2.0 | 2008 | 4 | auto(s6) | f | 22 | 29 | p | compact |
\n",
"\tvolkswagen | gti | 2.8 | 1999 | 6 | manual(m5) | f | 17 | 24 | r | compact |
\n",
"\tvolkswagen | jetta | 1.9 | 1999 | 4 | manual(m5) | f | 33 | 44 | d | compact |
\n",
"\tvolkswagen | jetta | 2.0 | 1999 | 4 | manual(m5) | f | 21 | 29 | r | compact |
\n",
"\tvolkswagen | jetta | 2.0 | 1999 | 4 | auto(l4) | f | 19 | 26 | r | compact |
\n",
"\tvolkswagen | jetta | 2.0 | 2008 | 4 | auto(s6) | f | 22 | 29 | p | compact |
\n",
"\tvolkswagen | jetta | 2.0 | 2008 | 4 | manual(m6) | f | 21 | 29 | p | compact |
\n",
"\tvolkswagen | jetta | 2.5 | 2008 | 5 | auto(s6) | f | 21 | 29 | r | compact |
\n",
"\tvolkswagen | jetta | 2.5 | 2008 | 5 | manual(m5) | f | 21 | 29 | r | compact |
\n",
"\tvolkswagen | jetta | 2.8 | 1999 | 6 | auto(l4) | f | 16 | 23 | r | compact |
\n",
"\tvolkswagen | jetta | 2.8 | 1999 | 6 | manual(m5) | f | 17 | 24 | r | compact |
\n",
"\tvolkswagen | new beetle | 1.9 | 1999 | 4 | manual(m5) | f | 35 | 44 | d | subcompact |
\n",
"\tvolkswagen | new beetle | 1.9 | 1999 | 4 | auto(l4) | f | 29 | 41 | d | subcompact |
\n",
"\tvolkswagen | new beetle | 2.0 | 1999 | 4 | manual(m5) | f | 21 | 29 | r | subcompact |
\n",
"\tvolkswagen | new beetle | 2.0 | 1999 | 4 | auto(l4) | f | 19 | 26 | r | subcompact |
\n",
"\tvolkswagen | new beetle | 2.5 | 2008 | 5 | manual(m5) | f | 20 | 28 | r | subcompact |
\n",
"\tvolkswagen | new beetle | 2.5 | 2008 | 5 | auto(s6) | f | 20 | 29 | r | subcompact |
\n",
"\tvolkswagen | passat | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | midsize |
\n",
"\tvolkswagen | passat | 1.8 | 1999 | 4 | auto(l5) | f | 18 | 29 | p | midsize |
\n",
"\tvolkswagen | passat | 2.0 | 2008 | 4 | auto(s6) | f | 19 | 28 | p | midsize |
\n",
"\tvolkswagen | passat | 2.0 | 2008 | 4 | manual(m6) | f | 21 | 29 | p | midsize |
\n",
"\tvolkswagen | passat | 2.8 | 1999 | 6 | auto(l5) | f | 16 | 26 | p | midsize |
\n",
"\tvolkswagen | passat | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | midsize |
\n",
"\tvolkswagen | passat | 3.6 | 2008 | 6 | auto(s6) | f | 17 | 26 | p | midsize |
\n",
"\n",
"
\n"
],
"text/latex": [
"\\begin{tabular}{r|lllllllllll}\n",
" manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
"\\hline\n",
"\t audi & a4 & 1.8 & 1999 & 4 & auto(l5) & f & 18 & 29 & p & compact \\\\\n",
"\t audi & a4 & 1.8 & 1999 & 4 & manual(m5) & f & 21 & 29 & p & compact \\\\\n",
"\t audi & a4 & 2.0 & 2008 & 4 & manual(m6) & f & 20 & 31 & p & compact \\\\\n",
"\t audi & a4 & 2.0 & 2008 & 4 & auto(av) & f & 21 & 30 & p & compact \\\\\n",
"\t audi & a4 & 2.8 & 1999 & 6 & auto(l5) & f & 16 & 26 & p & compact \\\\\n",
"\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact \\\\\n",
"\t audi & a4 & 3.1 & 2008 & 6 & auto(av) & f & 18 & 27 & p & compact \\\\\n",
"\t audi & a4 quattro & 1.8 & 1999 & 4 & manual(m5) & 4 & 18 & 26 & p & compact \\\\\n",
"\t audi & a4 quattro & 1.8 & 1999 & 4 & auto(l5) & 4 & 16 & 25 & p & compact \\\\\n",
"\t audi & a4 quattro & 2.0 & 2008 & 4 & manual(m6) & 4 & 20 & 28 & p & compact \\\\\n",
"\t audi & a4 quattro & 2.0 & 2008 & 4 & auto(s6) & 4 & 19 & 27 & p & compact \\\\\n",
"\t audi & a4 quattro & 2.8 & 1999 & 6 & auto(l5) & 4 & 15 & 25 & p & compact \\\\\n",
"\t audi & a4 quattro & 2.8 & 1999 & 6 & manual(m5) & 4 & 17 & 25 & p & compact \\\\\n",
"\t audi & a4 quattro & 3.1 & 2008 & 6 & auto(s6) & 4 & 17 & 25 & p & compact \\\\\n",
"\t audi & a4 quattro & 3.1 & 2008 & 6 & manual(m6) & 4 & 15 & 25 & p & compact \\\\\n",
"\t audi & a6 quattro & 2.8 & 1999 & 6 & auto(l5) & 4 & 15 & 24 & p & midsize \\\\\n",
"\t audi & a6 quattro & 3.1 & 2008 & 6 & auto(s6) & 4 & 17 & 25 & p & midsize \\\\\n",
"\t audi & a6 quattro & 4.2 & 2008 & 8 & auto(s6) & 4 & 16 & 23 & p & midsize \\\\\n",
"\t chevrolet & c1500 suburban 2wd & 5.3 & 2008 & 8 & auto(l4) & r & 14 & 20 & r & suv \\\\\n",
"\t chevrolet & c1500 suburban 2wd & 5.3 & 2008 & 8 & auto(l4) & r & 11 & 15 & e & suv \\\\\n",
"\t chevrolet & c1500 suburban 2wd & 5.3 & 2008 & 8 & auto(l4) & r & 14 & 20 & r & suv \\\\\n",
"\t chevrolet & c1500 suburban 2wd & 5.7 & 1999 & 8 & auto(l4) & r & 13 & 17 & r & suv \\\\\n",
"\t chevrolet & c1500 suburban 2wd & 6.0 & 2008 & 8 & auto(l4) & r & 12 & 17 & r & suv \\\\\n",
"\t chevrolet & corvette & 5.7 & 1999 & 8 & manual(m6) & r & 16 & 26 & p & 2seater \\\\\n",
"\t chevrolet & corvette & 5.7 & 1999 & 8 & auto(l4) & r & 15 & 23 & p & 2seater \\\\\n",
"\t chevrolet & corvette & 6.2 & 2008 & 8 & manual(m6) & r & 16 & 26 & p & 2seater \\\\\n",
"\t chevrolet & corvette & 6.2 & 2008 & 8 & auto(s6) & r & 15 & 25 & p & 2seater \\\\\n",
"\t chevrolet & corvette & 7.0 & 2008 & 8 & manual(m6) & r & 15 & 24 & p & 2seater \\\\\n",
"\t chevrolet & k1500 tahoe 4wd & 5.3 & 2008 & 8 & auto(l4) & 4 & 14 & 19 & r & suv \\\\\n",
"\t chevrolet & k1500 tahoe 4wd & 5.3 & 2008 & 8 & auto(l4) & 4 & 11 & 14 & e & suv \\\\\n",
"\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
"\t toyota & toyota tacoma 4wd & 3.4 & 1999 & 6 & auto(l4) & 4 & 15 & 19 & r & pickup \\\\\n",
"\t toyota & toyota tacoma 4wd & 4.0 & 2008 & 6 & manual(m6) & 4 & 15 & 18 & r & pickup \\\\\n",
"\t toyota & toyota tacoma 4wd & 4.0 & 2008 & 6 & auto(l5) & 4 & 16 & 20 & r & pickup \\\\\n",
"\t volkswagen & gti & 2.0 & 1999 & 4 & manual(m5) & f & 21 & 29 & r & compact \\\\\n",
"\t volkswagen & gti & 2.0 & 1999 & 4 & auto(l4) & f & 19 & 26 & r & compact \\\\\n",
"\t volkswagen & gti & 2.0 & 2008 & 4 & manual(m6) & f & 21 & 29 & p & compact \\\\\n",
"\t volkswagen & gti & 2.0 & 2008 & 4 & auto(s6) & f & 22 & 29 & p & compact \\\\\n",
"\t volkswagen & gti & 2.8 & 1999 & 6 & manual(m5) & f & 17 & 24 & r & compact \\\\\n",
"\t volkswagen & jetta & 1.9 & 1999 & 4 & manual(m5) & f & 33 & 44 & d & compact \\\\\n",
"\t volkswagen & jetta & 2.0 & 1999 & 4 & manual(m5) & f & 21 & 29 & r & compact \\\\\n",
"\t volkswagen & jetta & 2.0 & 1999 & 4 & auto(l4) & f & 19 & 26 & r & compact \\\\\n",
"\t volkswagen & jetta & 2.0 & 2008 & 4 & auto(s6) & f & 22 & 29 & p & compact \\\\\n",
"\t volkswagen & jetta & 2.0 & 2008 & 4 & manual(m6) & f & 21 & 29 & p & compact \\\\\n",
"\t volkswagen & jetta & 2.5 & 2008 & 5 & auto(s6) & f & 21 & 29 & r & compact \\\\\n",
"\t volkswagen & jetta & 2.5 & 2008 & 5 & manual(m5) & f & 21 & 29 & r & compact \\\\\n",
"\t volkswagen & jetta & 2.8 & 1999 & 6 & auto(l4) & f & 16 & 23 & r & compact \\\\\n",
"\t volkswagen & jetta & 2.8 & 1999 & 6 & manual(m5) & f & 17 & 24 & r & compact \\\\\n",
"\t volkswagen & new beetle & 1.9 & 1999 & 4 & manual(m5) & f & 35 & 44 & d & subcompact \\\\\n",
"\t volkswagen & new beetle & 1.9 & 1999 & 4 & auto(l4) & f & 29 & 41 & d & subcompact \\\\\n",
"\t volkswagen & new beetle & 2.0 & 1999 & 4 & manual(m5) & f & 21 & 29 & r & subcompact \\\\\n",
"\t volkswagen & new beetle & 2.0 & 1999 & 4 & auto(l4) & f & 19 & 26 & r & subcompact \\\\\n",
"\t volkswagen & new beetle & 2.5 & 2008 & 5 & manual(m5) & f & 20 & 28 & r & subcompact \\\\\n",
"\t volkswagen & new beetle & 2.5 & 2008 & 5 & auto(s6) & f & 20 & 29 & r & subcompact \\\\\n",
"\t volkswagen & passat & 1.8 & 1999 & 4 & manual(m5) & f & 21 & 29 & p & midsize \\\\\n",
"\t volkswagen & passat & 1.8 & 1999 & 4 & auto(l5) & f & 18 & 29 & p & midsize \\\\\n",
"\t volkswagen & passat & 2.0 & 2008 & 4 & auto(s6) & f & 19 & 28 & p & midsize \\\\\n",
"\t volkswagen & passat & 2.0 & 2008 & 4 & manual(m6) & f & 21 & 29 & p & midsize \\\\\n",
"\t volkswagen & passat & 2.8 & 1999 & 6 & auto(l5) & f & 16 & 26 & p & midsize \\\\\n",
"\t volkswagen & passat & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & midsize \\\\\n",
"\t volkswagen & passat & 3.6 & 2008 & 6 & auto(s6) & f & 17 & 26 & p & midsize \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"manufacturer | model | displ | year | cyl | trans | drv | cty | hwy | fl | class | \n",
"|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
"| audi | a4 | 1.8 | 1999 | 4 | auto(l5) | f | 18 | 29 | p | compact | \n",
"| audi | a4 | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | compact | \n",
"| audi | a4 | 2.0 | 2008 | 4 | manual(m6) | f | 20 | 31 | p | compact | \n",
"| audi | a4 | 2.0 | 2008 | 4 | auto(av) | f | 21 | 30 | p | compact | \n",
"| audi | a4 | 2.8 | 1999 | 6 | auto(l5) | f | 16 | 26 | p | compact | \n",
"| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact | \n",
"| audi | a4 | 3.1 | 2008 | 6 | auto(av) | f | 18 | 27 | p | compact | \n",
"| audi | a4 quattro | 1.8 | 1999 | 4 | manual(m5) | 4 | 18 | 26 | p | compact | \n",
"| audi | a4 quattro | 1.8 | 1999 | 4 | auto(l5) | 4 | 16 | 25 | p | compact | \n",
"| audi | a4 quattro | 2.0 | 2008 | 4 | manual(m6) | 4 | 20 | 28 | p | compact | \n",
"| audi | a4 quattro | 2.0 | 2008 | 4 | auto(s6) | 4 | 19 | 27 | p | compact | \n",
"| audi | a4 quattro | 2.8 | 1999 | 6 | auto(l5) | 4 | 15 | 25 | p | compact | \n",
"| audi | a4 quattro | 2.8 | 1999 | 6 | manual(m5) | 4 | 17 | 25 | p | compact | \n",
"| audi | a4 quattro | 3.1 | 2008 | 6 | auto(s6) | 4 | 17 | 25 | p | compact | \n",
"| audi | a4 quattro | 3.1 | 2008 | 6 | manual(m6) | 4 | 15 | 25 | p | compact | \n",
"| audi | a6 quattro | 2.8 | 1999 | 6 | auto(l5) | 4 | 15 | 24 | p | midsize | \n",
"| audi | a6 quattro | 3.1 | 2008 | 6 | auto(s6) | 4 | 17 | 25 | p | midsize | \n",
"| audi | a6 quattro | 4.2 | 2008 | 8 | auto(s6) | 4 | 16 | 23 | p | midsize | \n",
"| chevrolet | c1500 suburban 2wd | 5.3 | 2008 | 8 | auto(l4) | r | 14 | 20 | r | suv | \n",
"| chevrolet | c1500 suburban 2wd | 5.3 | 2008 | 8 | auto(l4) | r | 11 | 15 | e | suv | \n",
"| chevrolet | c1500 suburban 2wd | 5.3 | 2008 | 8 | auto(l4) | r | 14 | 20 | r | suv | \n",
"| chevrolet | c1500 suburban 2wd | 5.7 | 1999 | 8 | auto(l4) | r | 13 | 17 | r | suv | \n",
"| chevrolet | c1500 suburban 2wd | 6.0 | 2008 | 8 | auto(l4) | r | 12 | 17 | r | suv | \n",
"| chevrolet | corvette | 5.7 | 1999 | 8 | manual(m6) | r | 16 | 26 | p | 2seater | \n",
"| chevrolet | corvette | 5.7 | 1999 | 8 | auto(l4) | r | 15 | 23 | p | 2seater | \n",
"| chevrolet | corvette | 6.2 | 2008 | 8 | manual(m6) | r | 16 | 26 | p | 2seater | \n",
"| chevrolet | corvette | 6.2 | 2008 | 8 | auto(s6) | r | 15 | 25 | p | 2seater | \n",
"| chevrolet | corvette | 7.0 | 2008 | 8 | manual(m6) | r | 15 | 24 | p | 2seater | \n",
"| chevrolet | k1500 tahoe 4wd | 5.3 | 2008 | 8 | auto(l4) | 4 | 14 | 19 | r | suv | \n",
"| chevrolet | k1500 tahoe 4wd | 5.3 | 2008 | 8 | auto(l4) | 4 | 11 | 14 | e | suv | \n",
"| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | \n",
"| toyota | toyota tacoma 4wd | 3.4 | 1999 | 6 | auto(l4) | 4 | 15 | 19 | r | pickup | \n",
"| toyota | toyota tacoma 4wd | 4.0 | 2008 | 6 | manual(m6) | 4 | 15 | 18 | r | pickup | \n",
"| toyota | toyota tacoma 4wd | 4.0 | 2008 | 6 | auto(l5) | 4 | 16 | 20 | r | pickup | \n",
"| volkswagen | gti | 2.0 | 1999 | 4 | manual(m5) | f | 21 | 29 | r | compact | \n",
"| volkswagen | gti | 2.0 | 1999 | 4 | auto(l4) | f | 19 | 26 | r | compact | \n",
"| volkswagen | gti | 2.0 | 2008 | 4 | manual(m6) | f | 21 | 29 | p | compact | \n",
"| volkswagen | gti | 2.0 | 2008 | 4 | auto(s6) | f | 22 | 29 | p | compact | \n",
"| volkswagen | gti | 2.8 | 1999 | 6 | manual(m5) | f | 17 | 24 | r | compact | \n",
"| volkswagen | jetta | 1.9 | 1999 | 4 | manual(m5) | f | 33 | 44 | d | compact | \n",
"| volkswagen | jetta | 2.0 | 1999 | 4 | manual(m5) | f | 21 | 29 | r | compact | \n",
"| volkswagen | jetta | 2.0 | 1999 | 4 | auto(l4) | f | 19 | 26 | r | compact | \n",
"| volkswagen | jetta | 2.0 | 2008 | 4 | auto(s6) | f | 22 | 29 | p | compact | \n",
"| volkswagen | jetta | 2.0 | 2008 | 4 | manual(m6) | f | 21 | 29 | p | compact | \n",
"| volkswagen | jetta | 2.5 | 2008 | 5 | auto(s6) | f | 21 | 29 | r | compact | \n",
"| volkswagen | jetta | 2.5 | 2008 | 5 | manual(m5) | f | 21 | 29 | r | compact | \n",
"| volkswagen | jetta | 2.8 | 1999 | 6 | auto(l4) | f | 16 | 23 | r | compact | \n",
"| volkswagen | jetta | 2.8 | 1999 | 6 | manual(m5) | f | 17 | 24 | r | compact | \n",
"| volkswagen | new beetle | 1.9 | 1999 | 4 | manual(m5) | f | 35 | 44 | d | subcompact | \n",
"| volkswagen | new beetle | 1.9 | 1999 | 4 | auto(l4) | f | 29 | 41 | d | subcompact | \n",
"| volkswagen | new beetle | 2.0 | 1999 | 4 | manual(m5) | f | 21 | 29 | r | subcompact | \n",
"| volkswagen | new beetle | 2.0 | 1999 | 4 | auto(l4) | f | 19 | 26 | r | subcompact | \n",
"| volkswagen | new beetle | 2.5 | 2008 | 5 | manual(m5) | f | 20 | 28 | r | subcompact | \n",
"| volkswagen | new beetle | 2.5 | 2008 | 5 | auto(s6) | f | 20 | 29 | r | subcompact | \n",
"| volkswagen | passat | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | midsize | \n",
"| volkswagen | passat | 1.8 | 1999 | 4 | auto(l5) | f | 18 | 29 | p | midsize | \n",
"| volkswagen | passat | 2.0 | 2008 | 4 | auto(s6) | f | 19 | 28 | p | midsize | \n",
"| volkswagen | passat | 2.0 | 2008 | 4 | manual(m6) | f | 21 | 29 | p | midsize | \n",
"| volkswagen | passat | 2.8 | 1999 | 6 | auto(l5) | f | 16 | 26 | p | midsize | \n",
"| volkswagen | passat | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | midsize | \n",
"| volkswagen | passat | 3.6 | 2008 | 6 | auto(s6) | f | 17 | 26 | p | midsize | \n",
"\n",
"\n"
],
"text/plain": [
" manufacturer model displ year cyl trans drv cty hwy fl\n",
"1 audi a4 1.8 1999 4 auto(l5) f 18 29 p \n",
"2 audi a4 1.8 1999 4 manual(m5) f 21 29 p \n",
"3 audi a4 2.0 2008 4 manual(m6) f 20 31 p \n",
"4 audi a4 2.0 2008 4 auto(av) f 21 30 p \n",
"5 audi a4 2.8 1999 6 auto(l5) f 16 26 p \n",
"6 audi a4 2.8 1999 6 manual(m5) f 18 26 p \n",
"7 audi a4 3.1 2008 6 auto(av) f 18 27 p \n",
"8 audi a4 quattro 1.8 1999 4 manual(m5) 4 18 26 p \n",
"9 audi a4 quattro 1.8 1999 4 auto(l5) 4 16 25 p \n",
"10 audi a4 quattro 2.0 2008 4 manual(m6) 4 20 28 p \n",
"11 audi a4 quattro 2.0 2008 4 auto(s6) 4 19 27 p \n",
"12 audi a4 quattro 2.8 1999 6 auto(l5) 4 15 25 p \n",
"13 audi a4 quattro 2.8 1999 6 manual(m5) 4 17 25 p \n",
"14 audi a4 quattro 3.1 2008 6 auto(s6) 4 17 25 p \n",
"15 audi a4 quattro 3.1 2008 6 manual(m6) 4 15 25 p \n",
"16 audi a6 quattro 2.8 1999 6 auto(l5) 4 15 24 p \n",
"17 audi a6 quattro 3.1 2008 6 auto(s6) 4 17 25 p \n",
"18 audi a6 quattro 4.2 2008 8 auto(s6) 4 16 23 p \n",
"19 chevrolet c1500 suburban 2wd 5.3 2008 8 auto(l4) r 14 20 r \n",
"20 chevrolet c1500 suburban 2wd 5.3 2008 8 auto(l4) r 11 15 e \n",
"21 chevrolet c1500 suburban 2wd 5.3 2008 8 auto(l4) r 14 20 r \n",
"22 chevrolet c1500 suburban 2wd 5.7 1999 8 auto(l4) r 13 17 r \n",
"23 chevrolet c1500 suburban 2wd 6.0 2008 8 auto(l4) r 12 17 r \n",
"24 chevrolet corvette 5.7 1999 8 manual(m6) r 16 26 p \n",
"25 chevrolet corvette 5.7 1999 8 auto(l4) r 15 23 p \n",
"26 chevrolet corvette 6.2 2008 8 manual(m6) r 16 26 p \n",
"27 chevrolet corvette 6.2 2008 8 auto(s6) r 15 25 p \n",
"28 chevrolet corvette 7.0 2008 8 manual(m6) r 15 24 p \n",
"29 chevrolet k1500 tahoe 4wd 5.3 2008 8 auto(l4) 4 14 19 r \n",
"30 chevrolet k1500 tahoe 4wd 5.3 2008 8 auto(l4) 4 11 14 e \n",
"⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ \n",
"205 toyota toyota tacoma 4wd 3.4 1999 6 auto(l4) 4 15 19 r \n",
"206 toyota toyota tacoma 4wd 4.0 2008 6 manual(m6) 4 15 18 r \n",
"207 toyota toyota tacoma 4wd 4.0 2008 6 auto(l5) 4 16 20 r \n",
"208 volkswagen gti 2.0 1999 4 manual(m5) f 21 29 r \n",
"209 volkswagen gti 2.0 1999 4 auto(l4) f 19 26 r \n",
"210 volkswagen gti 2.0 2008 4 manual(m6) f 21 29 p \n",
"211 volkswagen gti 2.0 2008 4 auto(s6) f 22 29 p \n",
"212 volkswagen gti 2.8 1999 6 manual(m5) f 17 24 r \n",
"213 volkswagen jetta 1.9 1999 4 manual(m5) f 33 44 d \n",
"214 volkswagen jetta 2.0 1999 4 manual(m5) f 21 29 r \n",
"215 volkswagen jetta 2.0 1999 4 auto(l4) f 19 26 r \n",
"216 volkswagen jetta 2.0 2008 4 auto(s6) f 22 29 p \n",
"217 volkswagen jetta 2.0 2008 4 manual(m6) f 21 29 p \n",
"218 volkswagen jetta 2.5 2008 5 auto(s6) f 21 29 r \n",
"219 volkswagen jetta 2.5 2008 5 manual(m5) f 21 29 r \n",
"220 volkswagen jetta 2.8 1999 6 auto(l4) f 16 23 r \n",
"221 volkswagen jetta 2.8 1999 6 manual(m5) f 17 24 r \n",
"222 volkswagen new beetle 1.9 1999 4 manual(m5) f 35 44 d \n",
"223 volkswagen new beetle 1.9 1999 4 auto(l4) f 29 41 d \n",
"224 volkswagen new beetle 2.0 1999 4 manual(m5) f 21 29 r \n",
"225 volkswagen new beetle 2.0 1999 4 auto(l4) f 19 26 r \n",
"226 volkswagen new beetle 2.5 2008 5 manual(m5) f 20 28 r \n",
"227 volkswagen new beetle 2.5 2008 5 auto(s6) f 20 29 r \n",
"228 volkswagen passat 1.8 1999 4 manual(m5) f 21 29 p \n",
"229 volkswagen passat 1.8 1999 4 auto(l5) f 18 29 p \n",
"230 volkswagen passat 2.0 2008 4 auto(s6) f 19 28 p \n",
"231 volkswagen passat 2.0 2008 4 manual(m6) f 21 29 p \n",
"232 volkswagen passat 2.8 1999 6 auto(l5) f 16 26 p \n",
"233 volkswagen passat 2.8 1999 6 manual(m5) f 18 26 p \n",
"234 volkswagen passat 3.6 2008 6 auto(s6) f 17 26 p \n",
" class \n",
"1 compact \n",
"2 compact \n",
"3 compact \n",
"4 compact \n",
"5 compact \n",
"6 compact \n",
"7 compact \n",
"8 compact \n",
"9 compact \n",
"10 compact \n",
"11 compact \n",
"12 compact \n",
"13 compact \n",
"14 compact \n",
"15 compact \n",
"16 midsize \n",
"17 midsize \n",
"18 midsize \n",
"19 suv \n",
"20 suv \n",
"21 suv \n",
"22 suv \n",
"23 suv \n",
"24 2seater \n",
"25 2seater \n",
"26 2seater \n",
"27 2seater \n",
"28 2seater \n",
"29 suv \n",
"30 suv \n",
"⋮ ⋮ \n",
"205 pickup \n",
"206 pickup \n",
"207 pickup \n",
"208 compact \n",
"209 compact \n",
"210 compact \n",
"211 compact \n",
"212 compact \n",
"213 compact \n",
"214 compact \n",
"215 compact \n",
"216 compact \n",
"217 compact \n",
"218 compact \n",
"219 compact \n",
"220 compact \n",
"221 compact \n",
"222 subcompact\n",
"223 subcompact\n",
"224 subcompact\n",
"225 subcompact\n",
"226 subcompact\n",
"227 subcompact\n",
"228 midsize \n",
"229 midsize \n",
"230 midsize \n",
"231 midsize \n",
"232 midsize \n",
"233 midsize \n",
"234 midsize "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"library(ggplot2)\n",
"theme_set(theme_classic())\n",
"options(repr.plot.width = 6, repr.plot.height = 4)\n",
"\n",
"## the mpg data contains miles per gallon for many car models / years\n",
"mpg\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"234"
],
"text/latex": [
"234"
],
"text/markdown": [
"234"
],
"text/plain": [
"[1] 234"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"11"
],
"text/latex": [
"11"
],
"text/markdown": [
"11"
],
"text/plain": [
"[1] 11"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
"manufacturer | model | displ | year | cyl | trans | drv | cty | hwy | fl | class |
\n",
"\n",
"\taudi | a4 | 1.8 | 1999 | 4 | auto(l5) | f | 18 | 29 | p | compact |
\n",
"\taudi | a4 | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | compact |
\n",
"\taudi | a4 | 2.0 | 2008 | 4 | manual(m6) | f | 20 | 31 | p | compact |
\n",
"\taudi | a4 | 2.0 | 2008 | 4 | auto(av) | f | 21 | 30 | p | compact |
\n",
"\taudi | a4 | 2.8 | 1999 | 6 | auto(l5) | f | 16 | 26 | p | compact |
\n",
"\taudi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact |
\n",
"\n",
"
\n"
],
"text/latex": [
"\\begin{tabular}{r|lllllllllll}\n",
" manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
"\\hline\n",
"\t audi & a4 & 1.8 & 1999 & 4 & auto(l5) & f & 18 & 29 & p & compact \\\\\n",
"\t audi & a4 & 1.8 & 1999 & 4 & manual(m5) & f & 21 & 29 & p & compact \\\\\n",
"\t audi & a4 & 2.0 & 2008 & 4 & manual(m6) & f & 20 & 31 & p & compact \\\\\n",
"\t audi & a4 & 2.0 & 2008 & 4 & auto(av) & f & 21 & 30 & p & compact \\\\\n",
"\t audi & a4 & 2.8 & 1999 & 6 & auto(l5) & f & 16 & 26 & p & compact \\\\\n",
"\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"manufacturer | model | displ | year | cyl | trans | drv | cty | hwy | fl | class | \n",
"|---|---|---|---|---|---|\n",
"| audi | a4 | 1.8 | 1999 | 4 | auto(l5) | f | 18 | 29 | p | compact | \n",
"| audi | a4 | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | compact | \n",
"| audi | a4 | 2.0 | 2008 | 4 | manual(m6) | f | 20 | 31 | p | compact | \n",
"| audi | a4 | 2.0 | 2008 | 4 | auto(av) | f | 21 | 30 | p | compact | \n",
"| audi | a4 | 2.8 | 1999 | 6 | auto(l5) | f | 16 | 26 | p | compact | \n",
"| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact | \n",
"\n",
"\n"
],
"text/plain": [
" manufacturer model displ year cyl trans drv cty hwy fl class \n",
"1 audi a4 1.8 1999 4 auto(l5) f 18 29 p compact\n",
"2 audi a4 1.8 1999 4 manual(m5) f 21 29 p compact\n",
"3 audi a4 2.0 2008 4 manual(m6) f 20 31 p compact\n",
"4 audi a4 2.0 2008 4 auto(av) f 21 30 p compact\n",
"5 audi a4 2.8 1999 6 auto(l5) f 16 26 p compact\n",
"6 audi a4 2.8 1999 6 manual(m5) f 18 26 p compact"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"## long tables are annoying to display, so we usually just print the first few rows\n",
"nrow(mpg)\n",
"ncol(mpg)\n",
"head(mpg)\n"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAIAAAADp837AAAACXBIWXMAABJ0AAASdAHeZh94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\nRK5CYII="
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot\n",
"g <- ggplot(mpg, aes(cty))\n",
"g + geom_density(aes(fill=factor(cyl)), alpha=0.8) + \n",
" labs(title=\"Density plot\", \n",
" subtitle=\"City Mileage Grouped by Number of cylinders\",\n",
" caption=\"Source: mpg\",\n",
" x=\"City Mileage\",\n",
" fill=\"# Cylinders\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}