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Created on Cognitive Class Labs
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a href=\"https://www.bigdatauniversity.com\"><img src = \"https://ibm.box.com/shared/static/wbqvbi6o6ip0vz55ua5gp17g4f1k7ve9.png\" width = 300, align = \"center\"></a>\n",
"\n",
"<h1 align=center><font size = 5>BASIC PLOTS</font></h1>\n",
"\n",
"<hr>\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Table of Contents\n",
"\n",
"\n",
"<div class=\"alert alert-block alert-info\" style=\"margin-top: 20px\">\n",
"<li><p><a href=\"#ref0\">Introduction</a></p></li>\n",
"<li><p><a href=\"#ref1\">Scatter plot</a></p></li>\n",
"<li><p><a href=\"#ref2\">Line Graph</a></p></li>\n",
"<li style=\"margin-left: 40px;\"><p><a href=\"#ref3\">Simple Line Graph</a></p></li>\n",
"<li style=\"margin-left: 40px;\"><p><a href=\"#ref4\">Regression</a></p></li>\n",
"<br>\n",
"<p></p>\n",
"Estimated Time Needed: <strong>20 min</strong>\n",
"</div>\n",
"\n",
"<hr>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"ref0\"></a>\n",
"<h2 align=center>Introduction</h2>\n",
"\n",
"Data visualization is the presentation of data with graphics. It's a way to summarize your findings and display it in a form that facilitates interpretation and can help in identifying patterns or trends.\n",
"Having great data visualizations will make your work more interesting and clear.\n",
"In this notebook you will learn how to create Scatterplots and Line Graphs."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<hr>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"ref1\"></a>\n",
"<h2 align=center>Scatterplot</h2>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A scatter plot uses points and Cartesian coordinates to display the position of values between two or more variables. It is possible to plot scatter plots in 2D and 3D."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's start importing the `ggplot2` library."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"if(\"ggplot2\" %in% rownames(installed.packages()) == FALSE) {install.packages(\"ggplot2\")}\n",
"library(ggplot2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can create a very simple 2D scatterplot simply using qplot. Using two variables as parameters makes a scatterplot by default.Here we are using the mtcars dataset."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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VRX2LOpVkgbTvttuAXS/NHFFu7sJxhR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\nROQhIBF56P8DiEdd7WQXYfUAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"qplot(mpg, wt, data=mtcars)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can create a similar graph using ggplot."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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00/mjAZSAGQxIC0QxNubAJSFJCkgNSy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\nAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars, aes(x = mpg, y = wt)) + geom_point(shape=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You must have noticed that the shape of the circles changed. We can have solid circles modifying the `geom_point` parameter"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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GQFJCDpgGQFJCDpgGQFJCDpgGQFJCDpgGQFJCDpgGQFJCDpgGQFJCDpgGQFJCDp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\noP8H/FofWTxFDrsAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt)) + geom_point(shape=17)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As we can control the shapes, we can take advantage of this and plot three variables in a bidimensional scatter plot. You just need to pass the `shape` parameter as a column present in your dataset."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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R+kaV8fPHj3VI+vDR58XBdHAUkKSMUH\n6c0JE27Yr3uPn06YMLmLo4AkBaTigxQEy4but+/ppfd1eQyQpIBUhJBWDBu0cOCd/1E6tauD\ngCQFpCKEVPXzhcHAO4M77u3qICBJAakIIUUdPnUrBwBJCkhFCmmrAUkKSECyA5IUkD7XO6NH\nAQlIYkDass/OuBpIAZDEgLRFrVc+MA1IAZDEgLRFD1zWCqQoIEkBqWPzTv803Aip6pF0H6yx\nWhc2mfudavU3qjFc521WXaO3UWvCZn+zWtZ6G1Uf1nmbtc7jFdHi8ZJoWu9tVF3YsDpbSJ+e\n9lq4CdIzQ9LN2dp3MKLiqbnt2VYgvVY2atSokWWj7g/5jsR3JCW+I3Wobmm6u0ctXbVpB6+R\nfMRrJKlCeI0UxZsNUUCSAhKQ7IAkBaSuA5KPgCQFJKeAJAUkKSC5BCQpIEkBySkgSQEJSHZA\nkgISkOyAJAUkINkBSQpIQLIDkhSQgGQHJCkgAckOSFJAApIdkKSABCQ7IEkBCUh2QJICEpDs\ngCQFJCDZAUkKSECyA5IUkIBkByQpIAHJDkhSQAKSnQukS9+19wNJCkhOdXbWLpklj8onpJrZ\nQdCrPHi90vgckKSA5JR51qbWBAdNDF57WRuVT0ivl0xIQ5rZ94/G54AkBSSnrLP20ZfG1Bw0\n8YX+47VReb21e7D0971u63eO9SkgSQHJKfOszd3juIPG73pqjTYqv6+RHizddkfTEZC0gOSU\ncdZq5lY8PmCH3qNfqVgkjcojpH9NbWr45z8JJCkgOWWctXvarsrdpVF5hLSsouKBvj22/W1F\nhfHOHZCkgOSUddbeW/xU/x13OnbR4mXSqLze2s3qd06v35X+3voUkKSA5JR51l7a9dSDrt7j\nuBXaqHxCeqvveUGv8skl9xufA5IUkJwy37Xr/5Pagya+MuBSbVQ+IVX9JfNzpP+Za3wOSFJA\ncso8a9Nro58jzX9NG5Xv32w4ab69H0hSQHKqs7N21Wx5VL4hdRaQpIDklPfftZs3wscsIEkB\nqcAgvTQleLI0qL15aa6zgCQFpAKD9LeSiU+W1p62yzu5zgKSFJAKDFJwT8m40jP6P5/zLCBJ\nAamwIL3+8MMX9ejW5w8PP9zJPw3KOiBJAamwII3u27dvj1TP9PbaHGcBSQpIhQVpZVB7xk7b\nlPxH7rOAJAWkAoNUe0b/O0vv8SAJSFJAKjBIt+3y4pOlwT0lFbnOApIUkAoM0vJF0c+Rgk5+\nVyer/nRjtAWSFJAKDFJ6u+T6HEY8/GZwzpjg3fuBpAWkwoOUU6fsPf+cMYu+dgyQtIAEpA5V\nH7PHqT8cfPhSIGkBCUib98KMJ47stcPBj8+YDSQpIAFpsxaVbvpjEdvOA5ISkIDUscWDB+y2\nx1zetRMDEpA6tHjw4T//0TFpSUCSAhKQOvS9oz48Z0z1D74FJC0gAalDry2Lfo700RwgaQEJ\nSFv26JRoCyQpIAHJDkhSQAKSHZCkgAQkOyBJAQlIdkCSAhKQ7IAkBSQg2QFJCkhAsgOSFJCA\nZAckKSAByQ5IUkACkh2QpIAEJDsgSQEJSHZAkgISkOyAJAUkINkBSQpIQLIDkhSQgGQHJCkg\nAckOSFJAApIdkKSAlFBIfxlv7HzjdCAJAUmqACE9UhFcfExQeXeHnS9MDx4bsLLm9io/ywKS\nFJCSCOkXX5xz8THvfX1Yh533lE55bMAnYwZU+lkWkKSAlERItT/pf8bRhx62pOPem0ovH3Dy\nLv/wsyogaQEpgZBenPF0Wc/tD3hsxqya9p3zZsy4YJtt+/15xowPvSwLSFJASh6kD3ds+0v3\ns9r3fnvTzm5/8LIsIEkBKXmQ0lUeutse/V/YYmfNmJ16l07ysaQoIEkBKYmQKg897Pwf/GQL\nSTVjdrl9wC3eJAFJCkhJhHT8N5dcfEzNyft32Hn9gDmPDVh5Y+lCP8sCkhSQkgjpzQ+jnyPV\nVnTYWbkw+jlS8Er7ng+Oq3ZfFpCkgJRESOmevtfY+cEt7b/ZsOjR4PXUe8Ejrj9WApIUkBIK\nyWzz37V7omRiGtINpbMdZwFJCkiFCim4p+R3qWtKJ7vOApJUUUMa+vqGx5lDCw/SkoqKG7dJ\nldxUUfGB2ywgSRU1pNSsDY9TOv8+lVhIYzb9fDY11m0WkKSAlO6PPQsPUs3ixdeUpEp+v3hx\nrdssIEkVL6Q3Jk1KXTYp6pavfL3wIAXBhNJbUreXTHSdBSSp4oV0Vdu9T2q7RzuFtG6N1bqw\nydzvVKu/UY2brbe857QFqeWTS2c7zqpr8LOmqLDZ36zmtd5G1Yd13mat83hFtHi8JJrWextV\nFzasNiAtevzx1HWPp5v+3GedOgrXm9WFzfYnXGr1N6oprG97/vHc9YtSH61/baXjrIYmP2uK\nClv8zWqp8zaqMWzwNqve5xXh8ZJort/6MVnWEDauNSBF35SWdC4o+bd2QbD83BXus7i1kyre\nW7t0K7bqKNmQcgpIUkUNqdtB5z+++nN2gJQJSFJFDenXB3dLbXPE+GcbgPT5OkIaP3hjh77q\nMAtIUomDFIa1D/5871Sq19FA+lwdId3W7YoJUcO/uHTz3Vv+28JOApJUAiGla512QKqwfrPh\no8d8zOoIqXbIz6OHxf1u33zvW6n3s5oFJKkEQnr/rh/1T/UccW1BQXp6Ox+zMpAWzNjY8zO2\njX6N/GffaP89iUf/5d15qcULvvl05qMVszYdatgCklTiIJ25T6rHYZc8XdcpowRCuuPri58s\nDWYNqNj60V2XgfS9tr+osuCko9J3ciVPtB/wwREHP5d6eeCIDX+Qclrbj7fP//wsIEklDlKq\n++lLukCUSEgfHnng1NJZ/c7OeVYG0t9LXs58MHxM8Hbv+4LhP9r8iA+PGpjab/jyDR/UHHpW\n5nFyz9c/PwtIUomDNHbvVI9vXf5MfSFBCj48ct+SfmflPmvDa6SR34u2f9n+zSC4bK+7oodN\n3Txy5DE7pb5w7MiRf8p8XJ6596va9xJjFpCkEgcp/RrpzpN2Tm139I0FA+mCoUOP7JUaMHTo\n0LtynLUB0rztHkrr2Ofy9NPle5Zcvtnn7x837ud9U18YO27c1A07jh+a3vzrbtafpwSSVAIh\nhYX2rt3D48efWZra9cLx47N8Z7rTNr5r95v9qoMr9szcv006cHmHI94ZdETq8AMXbfpwfq8H\ngnd27PiH/TcGJKkEQqp9aOw+qVTp8IKBtDJ4tt9xpUe2X97ObYS0bPdrF/S+xzpg4cARr6Tm\nH3Fw219XuXjvqlO/af7rJyBJJQ7SBYO7pbp/o8u37RIH6fl+Zz9Z+sHhBzv+A/P2Nv0c6Y99\njz3SPOCpMcvnpRZ/cELbX1dZtvuYbZ8xDwWSVOIgpfb/xbSVnSNKJKTHLw+eLA0++NmCXGdt\nglR7WI/nOjtmYUkHr3elTrWPA5JU4iBVdY0okZDS2xe/6GNW2282PH9z5wd1/KN5tZd3ckcJ\nJKnEQcqiJEIKHP9KQ8f47W8pIBUgJC8BSQpIQLIDkhSQgGQHJCkgAckOSFJAApIdkKSABCQ7\nIEkBCUh2QJICEpDsgCQFJCDZAUkKSECyA5IUkIBkByQpIAHJDkhSQAKSHZCkgAQkOyBJAQlI\ndkCSAhKQ7IAkBSQg2QFJCkhAsgOSFJCAZAckKSAByQ5IUkACkh2QpIAEJDsgSQEJSHZAkgIS\nkOyAJAUkINkBSQpIQLIDkhSQgGQHJCkgAckOSFJAApIdkKSABCQ7IEkBCUh2/3xIMyds7KbK\nLo4CkhSQXEo2pN+kjhoaNbB7V/8haSBJAcmlZENasstNmcdhp3R1FJCkgORSsiEFN+38Xnr7\n5x3e6uogIEkByaWEQ6o55NwgqNr7yi4PcoP017uibeWvqjbfCSQpIDmVj3ftykteCi7bq6rL\nYxwhldySdnToN6s33wkkKSAFwaM18qy8vP096ui3e9/X9SGOt3ZTSm+sHHLY+x32AUkKSEF1\nt5flWXmBNLfngUO3cojra6QppXtu4QhIWsUO6dndX6xKvbjggEnarPz8QPbCbWZv5QhXSJVf\n6f5vW+wCklSxQ6o9o/8zqekDR3T90uNz5QdSVfnWjnCElL6v+3PpjR33AUmq2CFFklL7Dl8u\nziqsXxHKvD6asoUkIEkVOaRbhw79zq6pHY4aOvRyaVa8IT2YeffklZey/b+65JtL0tt7d1i6\n+U4gSRU5pGfGj/9N/9R2Z48f/9/SrFhDqhpwclrSs/22fNXTaTUrMg8d3v0GklaRQwqCdwYN\nTR3f/3lxVqwhBXMGjKl5tt9ZtTmNApJUsUN6d+CIJakXTt21QpsVb0hpSf8vV0dA0ip2SHPP\nXF6VerHmoqe1WTGHFEzuPnBFjqOAJFXskNKt6PuGPCvmkJ7tNyZ9d5fbKCBJASkIHO6B4g0p\nen00J1dJQJICklOxhlTV78z0/zbM+eIVOY0CkhSQnIo1pKA88z12/us5jQKSFJCcijckLwFJ\nCkhOAUkKSECyA5IUkIBkByQpIAHJDkhSQAKSHZCkgAQkOyBJAQlIdkCSAhKQ7IAkBSQg2QFJ\nCkhAsgOSFJCAZAckKSAByQ5IUkACkh2QpIAEJDsgSQEJSHZAkgISkOyAJAUkINkBSQpIHZt9\n4ck/HHtfI5CApAWkjv3jifkLp594G5CApAUko9vPAhKQtID0uVoqx94RPX4yJ131KqvVYaO5\n36lWf6MawjXeZq2r9zZqVdjsb1bzam+j6sJ13matafI2alWLx0uica23UWvDulXZQ2ocNbJs\nYnP07Jkh6eZk8x2MqDhqbnu2VUitSxeXn3Jv9Kzy1nTvrbeqC5vN/U61+hvVFNZ7m9XQ5G3U\n+rDF36yWOm+jGsMGb7PqfV4RHi+JZo9XRNi4NntIUU+MXLPpKa+RfMRrJKkCeY0UhtPLVgIJ\nSFJA6th/zlrw1rSTrm77GEg+ApJUIUC699wTTjpvaj2QgKQFpK4Dko+AJAUkp4AkBSQpILkE\nJCkgSQHJKSBJAQlIdkCSAhKQ7IAkBSQg2QFJCkhAsgOSFJCAZAckKSAByQ5IUkACkh2QpIAE\nJDsgSQEJSHZAkgISkOyAJAUkINn9cyCN3Wtj+y/MchaQpIDkUvIgXVMy8e6oIw5YkeUsIEkB\nyaXkQfpo/4uih4qSqdnOApIUkFxKHqTg4Z5z09vvH5v1LCBJAcmlBEIKvjs6CKaVvJL1LCBJ\nAcmlJEJ6peTRFYPOz34WkKSA5FISIQXnHnhd//eznwUkKSC5lEhIlTtvM1GYBSQpILmUSEjB\nbcNrhVlAkgKSS8mEpAUkKSC5BCQpIEkBySkgSQEJSHZAkgISkOyAJAUkINkBSQpIQLIDkhSQ\ngGSXB0hv/CPzMK3Lf1EBJCkguZRwSLf1Lk9vz++zqKuDgCQFJJcSDikY3+vR4IIdn+jyGCBJ\nAcml+EB6Z8jgjf0yEF4jje910lYcAUkLSC7FB1L1ft/J/BPyiSXXBMqbDUd1+/etHAEkKSC5\nFB9IG//la3DhV6sDAdIFO56RvrvrMiBJAcmlGEEKjh6V3szb7sHoebaQotdH47ciCUhSQHIp\nTpBeLUmDGHV05nmWkG7t81R6e1Fv3rXzNwtILsUJUnDugSv+XvJS5mmWkN56OfMwvaarg4Ak\nBSSXYgVpyS4TDvnFhqf8ZoMUkJwqVEjBTdvuXLnhGZCkgORUwUKqOeK2jc+AJAUkpwoWUntA\nkgKSU0CSApIUkFwCkhSQpIDkFJCkgAQkOyBJAQlIdkCSAhKQ7IAkBSQg2QFJCkhAsgOSFJCA\nZAckKSAByQ5IUkACkh2QpIAEJDsgSQEJSHZAkgISkOyAJAUkINkBSQpIQLIDkhSQgGQHJCkg\nAcnunwPp+pEbO+n9LGcBSQpILiUP0nkl542LOviLH2Y5C0hSQHIpeZCW7HJT9LC43+3ZzgKS\nFJBcSh6k4Kad30tvf/aN2mxnAUkKSC4lEFLNIecGwQslW/lvuWwWkKSA5FICIQXlJS8Fw3+U\n/SwgSQHJpSRCCkYffd/2b2Y/C0hSQHIpkZDm9ux3mTALSFJAcimRkIKL9louzAKSFJBcSiak\nmqXKLCBJAcmlZELSApIUkFwCkhSQpIDkFJCkgAQkOyBJAQlIdkCSAhKQ7IAkBSQg2QFJCkhA\nsgOSFJCAZAckKSAByQ5IUkACkh2QpIAEJDsgSQEJSHZAkgISkOyAJAWkrluzymp12Gjud6rF\n36iGTtbr0rp6b6NWhc3+ZjWv9jaqLlznbdYan1dEq79ZjWu9jVob1q1yhlRv1hA2259wqdXf\nqOawwdusRo9fYtjib1aLvy+xKWz0NqvB45fY6vOS8PclNoZNdc6QuLXzEbd2UoV4awckH2UP\naVFF5mFmTadHAEkKSC4lH9IdfZ5Kb6/tOb/TI4AkBSSXkg8puGDHJ4JrSh7o/AAgSQHJpQKA\nlJZ0dleOgKQFJJcKAVIwLPW7rj4NJCkguVQIkK4pOW7Hrv4SOJCkgORSAUCKXh9d0JUkIEkB\nyaXkQ7qn59T09vw+Czo9AkhSQHIp+ZDmzcg8TKnq9AggSQHJpeRD2npAkgKSS0CSApIUkJwC\nkhSQgGQHJCkgAckOSFJAApIdkKSABCQ7IEkBCUh2QJICEpDsgCQFJCDZAUkKSECyA5IUkIBk\nByQpIAHJDkhSQAKSHZCkgAQkOyBJAQlIdkCSAhKQ7IAkBSQg2QFJCkhAsos1pKq+k9LbZcN/\nk9MoIEkByalYQwpuKbk3WDZs0MKcRgFJCkhOxRtSWtLd3/3q27mNApIUkJyKOaRgQvcBOToC\nkhaQnIo5pKrv7pq+u8stIEkByal4Q6pK39fdkqskIEkByalYQ6oZHr3P8IeSv+Y0CkhSQHIq\n1pCqx2ber/vTX3IaBSQpIDkVa0h+ApIUkJwCkhSQgGQHJCkgAckOSFJAApIdkKSABCQ7IEkB\nCUh2QJICEpDsgCQFJCDZAUkKSECyA5IUkIBkByQpIAHJDkhSQAKSHZCkgAQkOyBJxQ/SjMz2\nwwU+ZmUCklNAkoodpOp+Z6W3r+15qYdZGwKSU0CSih2k4Nl+Z9W+vucJH/uYlQlITgFJKn6Q\n0pJ+vOeotbxGcghIUgUOKXio+77VvNngEpCkChzS63sO63dWHZAcApJUYUN6fc9RHz3b75f+\nrgggOQUkqdhBqt7jh7/JijYAAAsPSURBVCui10nXepi1ISA5BSSp2EEKJq2Itm++7GNWJiA5\nBSSp+EHaEG82uAQkKSBJAcmp4oZUe/dH0cPzz2U7C0hAsituSNV7laUlPdXn+mxnAQlIdsUN\nKZj35WOrZ+50XtazgAQkuyKHlJb0HcERkIDUScUOKXiw+77V2c8CEpDsih3SzJ1+kr67y3oW\nkIBkV+SQotdH8wRJQAKSXXFDqupzfnr7+l4XZzsLSECyK25IwezMdlHW/1AbSECyK3JIakAC\nkh2QpIAEJDsgSQEJSHZAkgISkOyAJAUkINkBSQpIQLIDkhSQgGQHJCkgAckOSFJAApIdkKSA\nBCQ7IEkBCUh2QJICEpDsgCQFJCDZAUkKSECyA5IUkIBkByQpIHXs6StOPfFXTwEJSGJA6til\nk199+66yciABSQtIRpddDiQgaQHJ6MIbo+365emCT61WhQ3mfqda/I2qDz/zNmttnbdRn4ZN\n/mY1r/Q2al241tuszxq9jfq0pdXfrIbV3katCdd/IkF6evS70cMzQ9LNyQYeUXHU3PYsC0iz\nj38u8/jWb9O9U2/VEDab+51q9TeqOWzwNqvJ45cYtvib1erxSwwbvc1q9PklerwkWjx+iWFT\nnQCp/PiXNvuI10g+4jWSVEG8Rppy4rzNPwSSj4AkVQiQ7hxdXllZ+SGQgKQFpI6dUhY1FkhA\n0gJS1wHJR0CSApJTQJICkhSQXAKSlAdIcxdG29qZQAJSJwEpm36xz/y0o9O+VAskINkBKZuq\nf7DP/Noz+j/PdyQgdRKQsiotaUzaEZCA1ElAyq6qvXpMC4AEpM4CUlal7+uOil4nAQlIdkDK\npuj1UfQ6CUhA6iQgZdPFu7yYvrv7/leBBKROAlI2zaqIttUPAAlInQQkKSAByQ5IUkACkh2Q\npIAEJDsgSQEJSHZAkgISkOyAJAUkINkBSQpIQLIDkhSQgGQHJCkgAckOSFIJh7R0aebh7a6O\nAZJTQJJKOKSL9n8nvb2h17IujgGSU0CSSjikqqO/+lYwoXRyV8cAySkgSSUcUiTpqq4dAckt\nIEklHVJQdUC327o+AkhOAUkq8ZAmlH49fXfXVUByCkhSSYeUfn2UeZ3URUByCkhSCYf0x9KH\ngmD58EFVXRwDJKeAJJVwSOWPRdvl16/o4hggOQUkqYRDyiYgOQUkKSAByQ5IUkACkh2QpIAE\nJDsgSQEJSHZAkgISkOyAJAUkINkBSQpIQLIDkhSQgGQHJCkgAckOSFJAApIdkKSABCQ7IEkB\nCUh2QJICEpDsgCQFJCDZAUkKSECyA5IUkIBkByQpIAHJDkhSQAKSHZCkgAQkOyBJAQlIdkCS\nAhKQ7IAkBSQg2QFJCkhAsgOSFJCAZAckKSAByQ5IUkACkh2QpIAEJDsgSQEJSHZAkgISkOyA\nJAUkINkBSep/BdKLC6LtivIcZgHJJSBJxR7S2Xu/EQQfjd43h1lAcglIUrGHVH3MHnNXnLB7\nRQ6zgOQSkKRiDymS9P2cHAHJKSBJxR9SsGy3bR7LaRaQXAKSVPwhrThht+F7zM1lFpBcApJU\n7CFFr4+i10k5zAKSS0CSij2k8yJD1ccMzGEWkFwCklTsIT0/P9pW/y2HWUByCUhSsYfkISC5\nBCQpIEkBySkgSQEJSHZAkgISkOyAJAUkINkBSQpIQLIDkhSQgGQHJCkgAckOSFJAApIdkKSA\nBCQ7IEn9r0C66Ipo+/jQHGYBySUgScUeUvkOv0072v6KHGYBySUgScUeUlDe++K/73BpLrOA\n5BKQpOIPKSjvVZKTIyA5BSSpBED6+3alF+c0Ky6QPvvYamVYb+53qsXfqLpwlbdZa9Z7G/Vx\n2ORvVtOn3katDdd4m7Wqwduoj5vbLon0fV367i6XWfX2FezS6nDdx86QGpqsmsNWc79Tob9R\nLWGzt1nNLd5GNfk8XR5HeT1dPr/ETZfErB3+ranpud5X5zLL45cYtjQ4Q+LWzkfc2km13dpd\nclW0LR+Rw6y43NoByUdAkuIHsk4BSQpIUkByCUhSQJICklNAkgISkOyAJAUkINkBSQpIQLID\nkhSQgGQHJCkgAckOSFJAApIdkKSABCQ7IEkBCUh2QJICEpDsgCQFJCDZAUkKSECyA5IUkIBk\nByQpIAHJDkhSQAKSHZCkgAQkOyBJAQlIdkCSAhKQ7IAkBSQg2QFJCkhAsgOSFJCAZAckKSAB\nyQ5IUkACkh2QpIAEJDsgSQEJSHZAkgISkOyAJAUkINkBSQpIQLIDkhSQXPrk2ke9zPHdk9dW\n53sJVq3X3pvvJZjNufbtfC/B7PY/5HsFZouvfaH9Az+QPhgy3ssc3/1+SCyvjJYhP833Eszu\nH/JkvpdgNvK7+V6B2ewh/9X+AZDyEJC0gJTvgCQFJCkg5TsgaRUPJKIiD0hEHgISkYeAROSh\nXCEtuu5nZbdmnr067oc/vb819xV5qW1Z08ui5uV7PZt6+opTT/zVU9GzWJ2utmXF7HTNvvDk\nH469rzGM2elqX1f7+coV0hv3PHtm5opdOOpPS2cePyn3RXqpbVnTT6lMV5fv9Wzq0smvvn1X\nWXncTlfbsmJ2uv7xxPyF00+8LW6nq31d7efLw63duMwVe9256c3kE+tzn+epDcuaflq+1/H5\nLrs8hqdrw7LieLpuPyuWpyuzrvbz5Q3SadF76gvKFuQ+z1MbIY0+7eSLXtjasf/cLrwxhqdr\nw7Lid7paKsfeEcfTtWFd7efLF6TWskfS24/K4vP/hA2Q3nhy4fyJZbH6ldqnR78bw9OVWVbs\nTlfjqJFlE5vjd7o2rmuz81XokDLdcHr+lvG5Zh//XBxPV2ZZG4rR6Wpdurj8lHvjd7o2rmtD\nmfNV6Ld2mR4ta8rjQjpWfvxL0UPcTtfGZWWK0+lK98TINbE7XVHRujJlzlehv9mQ6Yb4vISe\ncuKG95Zjdro2LStTjE5X1PSylXE7XZmidWXKnK9cITVUVp59XeX7G96gfCY2b1C2Leu2mQvm\n3Vo2Ld/r2dSdo8srKys/jNvpaltWzE7Xf85a8Na0k66O2+lqX1f7+coVUmXmJ1Kj0s9eGXfc\nTybH5Udmbcu688zjT75wdr6X09YpmXWNDWN2utqWFbPTde+5J5x03tTo+1CsTlf7utrPF78i\nROQhIBF5CEhEHgISkYeAROQhIBF5CEhEHgISkYeAROQhIBF5CEhEHgJS/Jua+tvt+5UOejhc\nPKpv75NXZvZMuWyvkq9s+I80VP247/ZDXzy+NL+LLPaAFP+mpo7Y56rr9uj+yK6n/eGU1CmZ\nPbuNfPWd36YuST//bN/u59x5Xu8DgJTXgBT/pqb2+iwM30x1+2P6g1Hdg2jP3tG/vRvTfXEY\njk/dmX56XwpIeQ1I8W9q6oboof8OLentLamXoj1XR3tmpv49DA/auTn9tHV3IOU1IMW/qamp\n0cPAr0XbSanp0Z7J0fMlqbPDcPtvZw76P0DKa0CKf1NTf4seBg6OtpNSj0d77o6eL0ydk4Z0\neOYgIOU3IMU/C9Kvo+cPb3ZrtweQ8hqQ4p8Fqe9HYdh4eLd3w/CKVPQXdibzZkN+A1L8syAN\n2fO6W7+duii9Y9XePX5x1y97H9Azr2ss+oAU/yxIj9y4T8m+EzJ/DWT5yX16HfnC0Tvlc4kE\npCS2kdbm7X1IPhZCmwJSEusAKfMfYXkw9dt8LYaigJTEOkAafsYdd43tsVtt/pZDQEpmHSDd\nOLjPNrudsSx/q6EQSEReAhKRh4BE5CEgEXkISEQeAhKRh4BE5CEgEXno/wN3WjdWEuec+wAA\nAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt,shape = cyl)) + geom_point() + scale_shape_identity()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It didn't work. That's because we need to have categorical data, instead of numerical. We can fix this creating factors for the cylinders."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"mtcars$cylFactor<- factor(mtcars$cyl)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we just need to plot our graph again."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XXKRVe8+Rl1/fQnTbc+3v2Q35r/F+mM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\nQIoHEkggJ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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt,shape = cylFactor)) + geom_point()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can change the colors of our circles using the `colour` parameter"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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AAIEQdgAAgUjSHgDg2Rke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\nTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt)) + geom_point(shape=19, colour=\"blue\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As we did with the shapes, we can do the same thing with colours. Again, you just pass the `colour` parameter as a column present in your dataset."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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gAAQBIEOwAAAEkQ7AAAACRBsAMAAJAE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\nRK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt,color = cyl))+ geom_point(shape=19)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As the graph before used numerical data, it created the label with a gradient from 4 to 8. If we use categorical data, like the `cylFactors`, we can assign a unique color for every category."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ElQ7AAAACRBsQMAAJAExQ4AAEASFDsA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\n/g9O0EwlcDP3WwAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt,color = cylFactor)) + geom_point(shape=19)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we need to rename our legend. Our users wouldn't understand what exactly is cylFactors."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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85uZxHXXHPNwoULN2/e3LdvX7ezuI9j7AAAgFdVVFQsWbLk1FNPpdWlsCsWAAB4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\nQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt,color = cylFactor)) + geom_point(shape=19) + labs(colour = \"Cylinders\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Just to finish our graph, we can rename and create the remaining labels."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bU31LNVRZXBwR3LU5wRU/IAACRAsbOqIZ3L090nbdqx68aV5/rMyoM4jO5delHH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\nQBIUOwAAAElQ7AAAACRBsQMAAJDE/wHfkReGDjpomgAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt,color = cylFactor)) + geom_point(shape=19) + xlab(\"Miles per Gallon \") + ylab(\"Weight\") +\n",
" labs(colour = \"Cylinders\") + ggtitle(\"Scatterplot\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<hr>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"ref2\"></a>\n",
"<h2 align=center>Line Graph</h2>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Line graphs are also representations of data in which Cartesian coordinates are used. Much like scatterplots, the data is transformed into points - however, in line graphs, they are connected by lines, as the name implies."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"ref3\"></a>\n",
"<h3>Simple Line Graph</h3>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For line graphs, we are going to use the EuStockMarkets dataset. It is also a dataset that comes included with R and it describes four European Stock markets' historical data."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's start looking at their helpfile"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"<table width=\"100%\" summary=\"page for EuStockMarkets {datasets}\"><tr><td>EuStockMarkets {datasets}</td><td style=\"text-align: right;\">R Documentation</td></tr></table>\n",
"\n",
"<h2>\n",
"Daily Closing Prices of Major European Stock Indices, 1991&ndash;1998\n",
"</h2>\n",
"\n",
"<h3>Description</h3>\n",
"\n",
"<p>Contains the daily closing prices of major European stock indices:\n",
"Germany DAX (Ibis), Switzerland SMI, France CAC, and UK FTSE. The\n",
"data are sampled in business time, i.e., weekends and holidays are\n",
"omitted.\n",
"</p>\n",
"\n",
"\n",
"<h3>Usage</h3>\n",
"\n",
"<pre>\n",
"EuStockMarkets\n",
"</pre>\n",
"\n",
"\n",
"<h3>Format</h3>\n",
"\n",
"<p>A multivariate time series with 1860 observations on 4 variables.\n",
"The object is of class <code>\"mts\"</code>.\n",
"</p>\n",
"\n",
"\n",
"<h3>Source</h3>\n",
"\n",
"<p>The data were kindly provided by Erste Bank AG, Vienna, Austria.\n",
"</p>\n",
"\n",
"<hr /><div style=\"text-align: center;\">[Package <em>datasets</em> version 3.5.1 ]</div>"
],
"text/latex": [
"\\inputencoding{utf8}\n",
"\\HeaderA{EuStockMarkets}{Daily Closing Prices of Major European Stock Indices, 1991--1998}{EuStockMarkets}\n",
"\\keyword{datasets}{EuStockMarkets}\n",
"%\n",
"\\begin{Description}\\relax\n",
"Contains the daily closing prices of major European stock indices:\n",
"Germany DAX (Ibis), Switzerland SMI, France CAC, and UK FTSE. The\n",
"data are sampled in business time, i.e., weekends and holidays are\n",
"omitted.\n",
"\\end{Description}\n",
"%\n",
"\\begin{Usage}\n",
"\\begin{verbatim}\n",
"EuStockMarkets\n",
"\\end{verbatim}\n",
"\\end{Usage}\n",
"%\n",
"\\begin{Format}\n",
"A multivariate time series with 1860 observations on 4 variables.\n",
"The object is of class \\code{\"mts\"}.\n",
"\\end{Format}\n",
"%\n",
"\\begin{Source}\\relax\n",
"The data were kindly provided by Erste Bank AG, Vienna, Austria.\n",
"\\end{Source}"
],
"text/plain": [
"EuStockMarkets package:datasets R Documentation\n",
"\n",
"_\bD_\ba_\bi_\bl_\by _\bC_\bl_\bo_\bs_\bi_\bn_\bg _\bP_\br_\bi_\bc_\be_\bs _\bo_\bf _\bM_\ba_\bj_\bo_\br _\bE_\bu_\br_\bo_\bp_\be_\ba_\bn _\bS_\bt_\bo_\bc_\bk _\bI_\bn_\bd_\bi_\bc_\be_\bs, _\b1_\b9_\b9_\b1-_\b1_\b9_\b9_\b8\n",
"\n",
"_\bD_\be_\bs_\bc_\br_\bi_\bp_\bt_\bi_\bo_\bn:\n",
"\n",
" Contains the daily closing prices of major European stock indices:\n",
" Germany DAX (Ibis), Switzerland SMI, France CAC, and UK FTSE. The\n",
" data are sampled in business time, i.e., weekends and holidays are\n",
" omitted.\n",
"\n",
"_\bU_\bs_\ba_\bg_\be:\n",
"\n",
" EuStockMarkets\n",
" \n",
"_\bF_\bo_\br_\bm_\ba_\bt:\n",
"\n",
" A multivariate time series with 1860 observations on 4 variables.\n",
" The object is of class ‘\"mts\"’.\n",
"\n",
"_\bS_\bo_\bu_\br_\bc_\be:\n",
"\n",
" The data were kindly provided by Erste Bank AG, Vienna, Austria.\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"?EuStockMarkets"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As we can see, it contains 1860 observations for each, and their filetype is `mts`, which stands for matrix.\n",
"`ggplot2` doesn't work with matrices."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To get around this limitation, we should create a dataframe from this matrix.\n",
"Thankfully, there's a function that does exactly what we need. It's the `as.data.frame()`."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"EuStockDF <- as.data.frame(EuStockMarkets)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's check its head, to see how the data is structured."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<caption>A data.frame: 6 × 4</caption>\n",
"<thead>\n",
"\t<tr><th scope=col>DAX</th><th scope=col>SMI</th><th scope=col>CAC</th><th scope=col>FTSE</th></tr>\n",
"\t<tr><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><td>1628.75</td><td>1678.1</td><td>1772.8</td><td>2443.6</td></tr>\n",
"\t<tr><td>1613.63</td><td>1688.5</td><td>1750.5</td><td>2460.2</td></tr>\n",
"\t<tr><td>1606.51</td><td>1678.6</td><td>1718.0</td><td>2448.2</td></tr>\n",
"\t<tr><td>1621.04</td><td>1684.1</td><td>1708.1</td><td>2470.4</td></tr>\n",
"\t<tr><td>1618.16</td><td>1686.6</td><td>1723.1</td><td>2484.7</td></tr>\n",
"\t<tr><td>1610.61</td><td>1671.6</td><td>1714.3</td><td>2466.8</td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"A data.frame: 6 × 4\n",
"\\begin{tabular}{r|llll}\n",
" DAX & SMI & CAC & FTSE\\\\\n",
" <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
"\\hline\n",
"\t 1628.75 & 1678.1 & 1772.8 & 2443.6\\\\\n",
"\t 1613.63 & 1688.5 & 1750.5 & 2460.2\\\\\n",
"\t 1606.51 & 1678.6 & 1718.0 & 2448.2\\\\\n",
"\t 1621.04 & 1684.1 & 1708.1 & 2470.4\\\\\n",
"\t 1618.16 & 1686.6 & 1723.1 & 2484.7\\\\\n",
"\t 1610.61 & 1671.6 & 1714.3 & 2466.8\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A data.frame: 6 × 4\n",
"\n",
"| DAX &lt;dbl&gt; | SMI &lt;dbl&gt; | CAC &lt;dbl&gt; | FTSE &lt;dbl&gt; |\n",
"|---|---|---|---|\n",
"| 1628.75 | 1678.1 | 1772.8 | 2443.6 |\n",
"| 1613.63 | 1688.5 | 1750.5 | 2460.2 |\n",
"| 1606.51 | 1678.6 | 1718.0 | 2448.2 |\n",
"| 1621.04 | 1684.1 | 1708.1 | 2470.4 |\n",
"| 1618.16 | 1686.6 | 1723.1 | 2484.7 |\n",
"| 1610.61 | 1671.6 | 1714.3 | 2466.8 |\n",
"\n"
],
"text/plain": [
" DAX SMI CAC FTSE \n",
"1 1628.75 1678.1 1772.8 2443.6\n",
"2 1613.63 1688.5 1750.5 2460.2\n",
"3 1606.51 1678.6 1718.0 2448.2\n",
"4 1621.04 1684.1 1708.1 2470.4\n",
"5 1618.16 1686.6 1723.1 2484.7\n",
"6 1610.61 1671.6 1714.3 2466.8"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"head(EuStockDF)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's start plotting!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's create a line graph of the \"DAX\" stock price:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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6t1BJalrMUgmUBxCf+Lj8Ak+8+FaCyt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\nLmYmg6SD4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A/8UX4Eqlqh/kaXEGSQfH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\n+EsotA9X+BRFXXENxjj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VhS6Qh1bF7e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\nJGjY/oP+m0tpErZOp7zTPmhpJeUU1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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = DAX)) + geom_line()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's increase the width of our line:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jKmWe6wE3/eNme8owpVdYjU2W6FSCLQHwniGJxfPa7NNv34wGiz3p4KS5Lrrfp6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\nhj4HGEM8Gqfc1VyRXJT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5UAwSnyXaRApg3Tg1fKRxC8vFEveHmKNLTZmnJ8tQhB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\nAJEAiACIBEAEQCQAIgAiARABEAmACPj/FLM5y38m5E8AAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = DAX)) + geom_line(size=1.5) + labs(x = \"Stocks\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To change the colour, we can use the `colour` parameter."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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5qp2JmPdDTZEewAAEDCuZXbX7VI0dOu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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = DAX)) + geom_line(size=1.5, colour=\"light blue\") + labs(x = \"Time\", y = \"Stocks\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also plot more than one line at a time in the same graph.\n",
"Let's try plotting two stocks in the same graph."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"image/png": 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1WxmNA0my3rnItwxqRJRd/Q1ua4MUpN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\nRrArZ45d7qSTPH7tkRvV1d6CDLdt1FBCjOSUaSg2VH4gs2Y4/0K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6ww033HDDDVXtDQAAGB9pCXZNUrE7kFGvJYu2sAs13xGxYzxV7M48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CBcC/VxDqbqpac8YZQvoBiExYS4s1SUeqxJlnFvypUcsAACAASURBVGlYCBWBzvnm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\npgYc+AAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"dax_smi_plot <- ggplot() +\n",
" geom_line(data = EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = DAX), size = 1.5, colour=\"light blue\") +\n",
" geom_line(data = EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = SMI), size = 1.5, colour = \"red\") +\n",
" labs(x = \"Time\", y = \"Stocks\")\n",
"print(dax_smi_plot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, let's plot all the stocks."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"image/png": 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/oVmzcnVRHsKit2Bw/OVD5Ld/rpgyaf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nPDZZCABtnHcxBuB9VY0yBqBaSgB+KbPn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\neACsWtVw1FHPPPjglkNZwGmG8Wp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6R1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YXZn+8wPT49w9hmKtDICrDABcZem2Y85iMrPr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\ngVDsAAAC8S81R9kRskfXMgAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"all_stocks <- ggplot() +\n",
" geom_line(data = EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = DAX), size=0.5, colour=\"light blue\") +\n",
" geom_line(data = EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = SMI), size =0.5, colour = \"dark blue\") + \n",
" geom_line(data = EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = CAC), size =0.5, colour = \"purple\") + \n",
" geom_line(data = EuStockDF,aes(x=c(1:nrow(EuStockDF)), y = FTSE), size =0.5, colour = \"cyan\") +\n",
" labs(x = \"Time\", y = \"Stocks\")\n",
"print(all_stocks)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's change the labels in our graph."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"image/png": 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DZisf7Bc3n3ipXDwY6KHQAAQPU5cCClDiIRIxLpL9TF4/mnR6ixd/VasavPuAoA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",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"legend_stocks <- all_stocks + xlab(\"Days\") + ylab(\"Price\") + ggtitle(\"Eu Stocks\")\n",
"print(legend_stocks)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"ref4\"></a>\n",
"<h3>Regression</h3>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Regression is a mathematical modelling concept in which a linear formula is created to simulate the percepted behaviour of the data points you create the model for. Regression is a great way to visualize trends and to create basic predictions."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Predictions are made on one set of variables, given another set of variables. Trends are usually extracted from the relation between two sets of variables. In this example, we will be checking if there is any relation between the weight and miles per gallon of a car."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To visualize regression, we can trace our fit line onto our graphs. Let's use the same example from the previous section and draw our regression line on top of it.\n",
"\n",
"The first method that we will utilize is linear regression, which is regression that utilizes what we call a linear model. To do so, we pass the `lm` parameter to the `method` attribute of the `geom_smooth` function, like so:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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VH6vLw8URT1/cRht9sDgYCOC7rRaMzN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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt)) + geom_point(shape=19) +\n",
" geom_smooth(method=\"lm\", se= FALSE, color = \"red\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You might have noticed that our code has `se = FALSE` on it. `se` represents what we call the \"confidence interval\" of our model. Confidence intervals are a lower and higher bound in which we can have 95% certainty that a data point will be in.\n",
"\n",
"If you want to display this interval, you can either just ignore the `se` attribute, or set it to `TRUE`."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"scrolled": true
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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FdfXx/cr6XD4TCZTLW1tSd6Otu3b+/I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08DQlqzX9/vu9T7wLGkzdQWmKrxULAAgc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\nnWa75n7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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"#se = TRUE -> confidence interval appear (default = true)\n",
"ggplot(mtcars,aes(x=mpg,y=wt,color = cylFactor)) + geom_point(shape=19) + geom_smooth(method=\"lm\", se= TRUE, color = \"red\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As with the other graphs, we can add labels to our linear regression graphs:"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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BiRP3++u4OxtqgoY/z4hP/+V6mKyHYAAIQcgl0QOdG/f+0OxpLV2nHOnPYLF0oK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\nbtlO0MQmRCfv+b//S16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rmcTqdGo3n4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8pTvKbPb5ZI32+29URw+qf8vS/TuD2f61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\nwsJ4nQgAAEC+sG4H7sLvil3v3r179+5NCNm8eTOvEwEAAMgal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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt,color = cylFactor)) + geom_point(shape=19) + \n",
" geom_smooth(method=\"lm\", se= TRUE, color = \"red\") + xlab(\"Miles per Gallon \") + \n",
" ylab(\"Weight\") + labs(colour = \"Cylinders\") + ggtitle(\"Linear Regression\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Another type of regression utilizes the Gaussian model. Instead of a straight line, the Gaussian model fits a (possibly not straight) curve. To use the Gaussian model, we pass the `auto` parameter to the `method` attribute"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
]
},
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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HCtBwUAAIhC2gY7p9M5Y8YMj8czZsyY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\nGucZ3LWi4VdpfVmAMz1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FV067Zt8eKc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vSE72NmorKzMWLcq+6y5DQUEAygUAeWOlLgAAQGcWOEwAACAASURBVHZMJlN5ebk4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",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"ggplot(mtcars,aes(x=mpg,y=wt,color = cylFactor)) + geom_point(shape=19) + \n",
" geom_smooth(method=\"auto\", se= TRUE, color = \"red\") + xlab(\"Miles per Gallon \") + \n",
" ylab(\"Weight\") + labs(colour = \"Cylinders\") + ggtitle(\"Gaussian Regression\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<hr>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### About the Author: \n",
"Hi! It's [Francisco Magioli](https://www.linkedin.com/in/franciscomagioli) and [Erich Natsubori Sato](https://www.linkedin.com/in/erich-natsubori-sato), the authors of this notebook. We hope you found R easy to learn! There's lots more to learn about R but you're well on your way. Feel free to connect with us if you have any questions."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<hr>\n",
"Copyright &copy; 2016 [Big Data University](https://bigdatauniversity.com/?utm_source=bducopyrightlink&utm_medium=dswb&utm_campaign=bdu). This notebook and its source code are released under the terms of the [MIT License](https://bigdatauniversity.com/mit-license/)."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "conda-env-r-r"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.5.1"
},
"widgets": {
"state": {},
"version": "1.1.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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