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@davidshinn
Last active August 29, 2015 14:24
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Jupyter R-Kernel on Windows
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Running R under Anaconda Jupyter Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Steps to Install R-Kernel on Windows to run Jupyter Notebooks\n",
"1. Install [Anaconda Python](http://continuum.io/downloads). Tested for Python 2.7 x64\n",
"2. [Run from the command line](http://www.walkingrandomly.com/?p=5734#comment-2286826): `conda install -c r ipython-notebook r-irkernel`\n",
"3. In order to plot inline ([Reference](http://stackoverflow.com/a/30445160/2626968))\n",
" 1. Put this R-3.1.3 version of [winCairo.dll](https://gist.github.com/davidshinn/1d511239ab81392978b4#file-wincairo-dll) to the path under your Anaconda installation: `Anaconda\\R\\library\\grDevices\\libs\\x64`\n",
" 2. Run this code in every R-kernel Jupyter Notebook: `options(jupyter.plot_mimetypes = 'image/png')`\n",
"4. To install.packages, you need to specify the mirror: `install.packages('caret', repos='http://cran.us.r-project.org')`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ggplot2 example\n",
"[reference](http://www.statmethods.net/advgraphs/ggplot2.html)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Need this line to plot inline\n",
"options(jupyter.plot_mimetypes = 'image/png')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"package 'ggplot2' successfully unpacked and MD5 sums checked\n",
"\n",
"The downloaded binary packages are in\n",
"\tC:\\Users\\shinda01\\AppData\\Local\\Temp\\RtmpWEd82A\\downloaded_packages\n"
]
}
],
"source": [
"# You probably need to install ggplot2\n",
"install.packages('ggplot2', repos='http://cran.us.r-project.org')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# ggplot2 examples\n",
"library(ggplot2)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data(mtcars)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# create factors with value labels \n",
"mtcars$gear <- factor(mtcars$gear,levels=c(3,4,5),\n",
" \tlabels=c(\"3gears\",\"4gears\",\"5gears\")) \n",
"mtcars$am <- factor(mtcars$am,levels=c(0,1),\n",
" \tlabels=c(\"Automatic\",\"Manual\")) \n",
"mtcars$cyl <- factor(mtcars$cyl,levels=c(4,6,8),\n",
" labels=c(\"4cyl\",\"6cyl\",\"8cyl\")) "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Kernel density plots for mpg\n",
"# grouped by number of gears (indicated by color)\n",
"qplot(mpg, data=mtcars, geom=\"density\", fill=gear, alpha=I(.5), \n",
" main=\"Distribution of Gas Milage\", xlab=\"Miles Per Gallon\", \n",
" ylab=\"Density\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Scatterplot of mpg vs. hp for each combination of gears and cylinders\n",
"# in each facet, transmittion type is represented by shape and color\n",
"qplot(hp, mpg, data=mtcars, shape=am, color=am, \n",
" facets=gear~cyl, size=I(3),\n",
" xlab=\"Horsepower\", ylab=\"Miles per Gallon\") "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Separate regressions of mpg on weight for each number of cylinders\n",
"qplot(wt, mpg, data=mtcars, geom=c(\"point\", \"smooth\"), \n",
" method=\"lm\", formula=y~x, color=cyl, \n",
" main=\"Regression of MPG on Weight\", \n",
" xlab=\"Weight\", ylab=\"Miles per Gallon\")"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Boxplots of mpg by number of gears \n",
"# observations (points) are overlayed and jittered\n",
"qplot(gear, mpg, data=mtcars, geom=c(\"boxplot\", \"jitter\"), \n",
" fill=gear, main=\"Mileage by Gear Number\",\n",
" xlab=\"\", ylab=\"Miles per Gallon\")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p <- qplot(hp, mpg, data=mtcars, shape=am, color=am, \n",
" facets=gear~cyl, main=\"Scatterplots of MPG vs. Horsepower\",\n",
" xlab=\"Horsepower\", ylab=\"Miles per Gallon\")\n",
"\n",
"# White background and black grid lines\n",
"p + theme_bw()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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QKQQiySCSCCKFQCQZRBJBpBCIJINIIogUApFkaiPS5XVC/1rBnXnUhPU0QX3zpApT7dC8aMJeXcpXpYq+NwNN2LJW3y+X8vdSRT+Ye9URaIIqqL5qRPqYcv3p42yGf1IVUR+7mrK+mYGmrO9fFUGfzKOmLJ9ydnA9zTZdowqroPruNWWNpXyt2aZnvqvCNEFdo9plzOqjaydC106Grl0IRBJBJBlECoFIIogkg0ghEEkEkWQQKQQiiSCSDCKFQCQRRJJBpBCIJIJIMogUApFEEEkGkUIgkggiySBSCEQSQSQZRAqBSCKIJINIIRBJBJFkECnEHEVqN5t+LZdO+gMifUCkEIgU9ChZZ8x+6RRNKpcKIoVAJJm1EsmtH2tXNbdLu/i1XRDpAyKFQKRpDEXyC421WWgsAZFkEGkK7WGPzi96yYp9KYgkg0hBOk3bveskIrlB0t//D8c/9RIe+r3Z3JlHRVRvoCnrxjyryrpRBPXNi6YsXxnf05e6XMyDJkxVffeLrz6f8nXyqj/QbPNgVGHLWn3z7todFEX6reloz9hsDXmq+gAWz0vVB7BI5izS0J9C1+7jnxz/cplwd3U5m54ZKKIubzRldc2jqqzviqAr86wpy9fEt/TlvWr/5k4TtqzV51O+SF5d3Wi2uTd9VZgmqILqm7NI3WaHyYZiyoyRZBgjBRUyviFi+huRFCBSgNaB8RJxQhaRFCBS0KRm07VKo2uFEOkDIoVApDdQLhVECoFIMogkgkghEEkGkUQQKQQiySCSCCKFQCQZRBJBpBCIJINIIogUApFkEEkEkUIgkgwiiSBSCESSQSQRRAqBSDKIJIJIIRBJBpFEECkEIskgkggihUAkGUQSQaQQiCRTG5G+fEvoXXybTdfcK6K+XWvKujIPqrIuFUEX5klT1i+X8tf0ZV+zTc/cqMKWtPp+Ff8vX2u2uTM9TVjU6tMEKauvGpG+ZvfxRrzZ91oTpLxX+lpzXMpbzV9dyul915eqG6qV90ova/X9Kqbc02yjvNU8avWpgpbiVvMA5RpXunYh6NrJ1KZrVy4VRAqBSDKIJIJIIRBJBpFEECkEIskgkggihUAkGUQSQaQQiCSDSCKIFAKRZBBJBJFCIJIMIokgUghEkkEkEUQKgUgyiCSCSCEQSQaRRBApBCLJIJIIIoVAJJn1EukgXZrPLdLHsi4JiCSDSEGPuqZt/emOLUWBSIr9I1IoTBO0TiKNFuorLmiOSKr9I1IoTBO0TiJ57AJj7dbE2+VSQaQQiCSzfiK1mnbpvtE65o8Dx18+JfS+fJrNlblTRH261pR1YQaasrrfFEFfzKOmLJ/5x/RlX7V/09OELWv1+ZTTV1+uNdv0TVcVpgm6jlp9N5qy5itSxwrUtGtgtrxJv7mJh1SrOvFU9QEsnpeqD2CRJN7sNvbst6PGbkyROqO5umSg1Pqd4w+PCS+PCp7NT02YqqwnXVnPT5oo86qKctykL5Upq8KWtfp8yvelin4xz6owTVAF1Zd6lLZEqUkxROrkWh4/95BSrpfKGCkEYySZysZIm1afo7xSEURq53twxTnwcqkgUghEkqlMJNexO2oMVdqLJlI7aYN8W1ScAy+XCiKFQCSZilukxvbwp+1o55HS9qhlB0qtwvxCuVQQKQQiyVQmkmuHNo92G43tWJMNbT8/Z3t0reG3TuGX5VJBpBCIJFPdeaSjRsPP20U+jxSgXCqIFAKRZNbvhCwiIRIiIdJ0EClETUWyA6OGBZFSEEkGkUIMndnePN1zA6Td3DAJkWaDSCHqKVJj109/D03aRCQPIskgUgh/NjZpivYaiORBJBlECuHPxiYt0jYtUgIiySBSCDc0Yow0DiLJIFII36PLQCQPIskgUgjOI4kgkgwihUAkEUSSQaQQiTdHnJAtgEgyiBTiNJn3tjN3RwubbLjqJfR7Cu7MoyZMVdaNeY5WVt+8aMJ+viHlgXlQHYEm6H7x1ffqUv5equgHM9CELWv1eW3sXUibu5yQzaBFkqFFCuG1sU3RUCROyKYgkgwihUhE2qVFKoBIMogUwmtjH3myyDFSuVQQKQQiyVQ3a7e7fbq5nLN2P4YgUgBEkuE80gQ/HHUVyeY+LQyRZBBpAi/S1E9TyvqJNDN3RJKpTiR3NnZ7G5ESlkmkKckjkkyVz7Xb3R49rxiREEkGkUIkDdLR6VFjKe+QrfUYia6dEKYJqlIk+28pT8jWeNYOkYQwTVCljyze3MstSrFEItX6PBKzdhNhmqAKL1o9Ot3ezR78jUjLItIMEEmmuq7d+A2yMUTKVrzs+EeAI5IDkWTWQqR5nEc6sOsw2yX77ILMnaJJ5VJBpBCIJLNOIvllkdrNoVG2WWoVljYvlwoihUAkmcq7dtEnG4Yt0cgoRLIgksxaiJQQ/+rvVjNZ9JIV+1IQSWadRIp+Hskux9xJRHKDpN8fOf54n/B0r+DBPGvCVGUNzIsm7HGgiTI/VVGOXvpSdZhPRhemCXqMWH0PuurzKfdLFf1sHjVhy1p9BZFiX9nQSecaMpF+88v4tWdsuIY8VX0Ai+el6gNYJPObtfPtkSl27S59O/jnbwk3F99m0zX3iqhvfU1ZV+ZBU1bvShF0YZ40ZfnK+Jq+vFPt39xowpa1+oopX/Q129yZnipME1RB9SXebG+6J3JFFantGx4mG4opM0aSWYsx0ra91byRv4/i/SK10wWYmf5GJAVvFkm4jKrSh580tqNONnSzgRAnZBFJwVtFki7srfJxXHvuXzyR2n5awQrU5hIhRJrJG0US79mqrmu3PezdHXHRagYiySBSiMSbzcawd7cbd7IBkTyIVCOR5jL9jUgOREIkRJoGIoVAJETyIJIMIoVAJBFEkkGkEIgksgQiaR5DhkiIVCKVWoqkep4fIn1YrisbEGmMZRFphkmIJINIIogUApFkEEkEkUIgkgwiidRYpBlhiCSDSCK1FOl61lNWLYiUMFZXtREpu120F/EexeuIt3heXyqClHfI/iqmrLpdVHmL57JWn095VLRmG+UdslL1+dY794a2+jRB5e6QXbRIFwm9y4vZXJuBIuriWlPWd/OgKutKEXRpnjVl/Sqm3Nds0zc3mjBl9d1ryopZfT7lUdGabYYiacKk6kvGk7kgZfVpgpTVR9dOZBm6dgro2jkmJmZq07UrlwoihUAkByIhUmj/iBQKE96bmOFEJBFECoFInvEzBYgkgkghECkBkRBJ3j8ihcKE9+jaIVJo/4gUChPeY7IBkUL7R6RQmPAeIiFSaP+IFAoT3kMkRArtH5FCYcJ7jJEQKbR/RAqFSW8iEiIF9o9IMopL4j8gUgBEClE7kTQ3aX1YP5G6flEk9zB9lnVJQCQZjUiq24Y/rJ9IzabXqTv+i3KpIFIIRMq9n3u9XiJ1ml6k4oLmiKTaPyJJBERa71m7TrPtFWq3Jn5XLhVECoFI8ttrJZJJ26LWwWgd8/53x79+Seh//TKb7+ZOEfWlpynrwgw0ZV1fKIK+midNWT7z7OWNav+mrwlbePVd6qqvmPLXnmabvunOjEmMmfl2BdW3AJGaB9Ymb9Jvfhm/9rSt1pOnqg9g8bxELzExRvm2GBb9mBIWIFL+x98fOf54n/B0r+DBPGvCVGUNzIsm7HGgiTI/VVGOXvpSdZhPRhemCXqMWH0PuurzKfdLFf1sHmcHORdmvy1WX6JbPkxzXMrqW5RI3XSNc0e5XipjpBB1GyMFT8hq7keaHGCt2BgpESk/B14uFUQKUT+R3lF9BZHcT6slkm+LinPg2e4RKbB/RAqFaYJmiuR/XC2RTMtOf7cK8wvZ7hEpsH9ECoVpguTqG/do1UQyrWazMEJCpNn7R6RQmCYoUH3ZAGnVRAqS7R6RAvtHpFCYJmhW9SHSNBBJBpEmQaQpIJIMIgm40RIiiSCSDCKFQCQRRJJBpEl+rNZ5JESyINKSisQYSQaRZBBpAmbtpoFIMog0ASJNA5FkEGkCRJoGIskg0iSINAVEkkEkAc4jhUEkGUQKgUgiiCSDSCFWX6SrXkK/p+DOPGrCVGXdmOdoZfXNiybsp0v5e6miB+ZBdQSaoPvFV9+rS/m6VNEPZqAJW9bqo0USoUWSoUUKgUgiiCSDSCEQSQSRZBApBCKJIJIMIoVAJBFEkkGkEIgkgkgyiBQCkUQQSQaRQiCSCCLJIFIIRBJBJBlECoFIIogkg0ghEEkEkWQQKQQiiSCSDCKFQCQRRJJBpBBzFanrn/1tV2UuLmxeLhVECoFIMsPqS56YL645m7IyIqWrmnfdP0RyIJJMXJHSNVzk1ZsTVkQk2xDZ7wd2RZdWYWnzcqkgUghEkslEmlylL89qiNRptnMLjbVZaCwBkWQQaZpLJl30khX7UhBJhq7dDJE6iUhukNT6neMPjwkvjwqezU9NmKqsJ11Zz0+aKPOqinLcpC+VKavClrX6fMr3pYp+Mc+qME3QsPqcQI+PP5Lv7ylLlfKCRfqt6WhP324dear6ABbPS7W7/5F8+7GQvS24a/c4cPzlU0Lvy6fZXJk7RdSna01ZF2agKav7TRH0xTxqyvJ18TF92Vft3/Q0YctafT7l9NWXa802fdNVhWmCrqNW342mrEWIxGSDYYw0E07IzhCJ6W9E0myDSLNE4oQsIilApFkiDbt1XCKESLNApPfwc0nLev0VsbAiy5pyzLLmWPSyllWWEiJlDZGb8W7NCgeoEXqR7DydGxp1x/p1AKAXyZ11PWiNXx0EAKXHSFakNr06gDHKidS2vbrWQT0vCgIIU0akjveneTD80vImJdfa/W12RaDmesCnV93VhTHLUl20+lriCs7solXVYT6/6sI0QRVUn085u2h14SlXUH1znv4+OMikct/+Zs/x988JP58VvJhXTdjCy3o2v1RR/lNVquifRhemCaqg+nzKD6WKjplyBdU3Z5GyKxr8FXcp5U6JcUI2BCdkZdbvhGzmT3EOvFwqiBQCkWTWSSSv0LBHl/2ASA5EkkGkAC07PLJXfrsLv1uFaTsplY2N0DEiUghEklkrkUyr2fQdu+wHRPqASCEQ6Q0IqWxsBE1CpBCIJFNjkTY2wiYhUghEkkEkEUQKgUgy9RVpY2OKSYgUApFkEEk8RkQKgUgy9RVpKogUApFkEEkEkUIgkgwiiSBSCESSQSQRRAqBSDL1FokrG3L7R6RQmCao5iJxZcNo/4gUCtME1VokLhHK7x+RQmGaoLqLxJUN2f4RKRSmCaqNSJfXCf30h2t3PvZa5M48yr8o0tME9c2TKky1Q/OiCXt1KV+VKvreDDRhqrIqqD7/nNrvpYp+MPeqI9AEVVB9FbVIHxOuP6U/+SsbPkoM/6SK74/R/TQ75uM3M9CU9f2rIuiTedSUNZZyT7NN16jCrjUpx62+e01ZPuXs5bVmm575rgrTBHWNapcxq29ZunbTrhGiaxeCrp1Mbbp2E6lsIFJx/4gUCtMEra5It4eOs7eKNBVECoFIMqsr0vFhBiKNgUiIpBbpEJGCIBIiqUU6PvbfzxFpAkRCJLVIZ8cafxDpAyKFQCTH4TkiBUAkRFKLdHheyqRyqSBSCESSWWGR9BMNiKTZPyKFwjRBKy/SG2btgnchjUCkEIgks7oi5VwqJ1L4QcUjECkEIsmstEiOs5xI7WbTr+XSSX8QRZptEiKFQCSZ1RcpR7uZrDNmv3SKJmW7n/LE7xGIFAKRZFZZpDPbrfuce8OtH2tXNbdLu/i1XSZEmvag4hGIFAKRZFZYpGN5hDQUyS801hYXGkOk0P4RKRSmCVpdkc7lSbv2sEfnF70UV+yb+qDiEYgUApFkVlek40N7jZC9mSJ3XrbTtN27TiKSGySd/hfHP944sruQbqYyME/TAzyPmqB786wJe7hTBN2Zn5qyfGVcpy9Vh/lgVGGqoAqqz6fcK1X0o3lQhWmCKqi+SCIdHt6672eHxYvuDg6KIv3WdLQnClh7nqo+gMXzUvUBLJLIIt2O9e2G/hS6dpe+Hfzzt4Sbi2+z6Zp7RdS3vqasK/OgKat3pQi6ME+asnxNfE1f3qn2b240YctafcWUL/qabe5MTxWmCaqg+qJ17fzNsZ/HROo2O9MmG7hEKLR/xkihME3Q6o6RzpNphsOsa+f9sQ3RlOlvRArtH5FCYZqg1RVpdLFdNtnQOjBeomknZBEpsH9ECoVpglZYpNSk3FxDq9l0rdLoWiFE+oBIIRAp4fywOPk9jXKpIFIIRJJZTZG0z+BCJAciySBSuXv6EEm1f0QKhWmCVlkkxy0iTYJIiKQSKX3MKs+1k0EkRNKJ5Alc/41IiIRIZURynCHSBIiESCqRmLWbDiIhkkokZu2mg0iIVEIkZu1CIBIiqURi1m46iIRIOpE87561C1Ov680AACAASURBVN5yjkghEElmpUVyvGPWLvzsBkQKgUgyqy+Skux20d7oHkX77IZ33aN4HfEWz+tLRZDyDtlfxZRVt4sqb/HsRbzFM2b1+ZRHRWu2Ud4hG7X6NEGLvUPWP9ZOO9dgvl4m9K7Sn9xDUC5FemYg/6LItSaoax5VZV3Njrm8Ms+asl5dyhfpy75mmxtzpwnraQ6zgur7VUy5p9nm3qhqJmr1qYJ01RdJpPN3TzZMeTAXXbsQdO1kVrdr9+7FmKc94Q6RQiCSzOqKNPTnNoZIokmIFAKRZFZYpGO/IPNZ4fHfJUSaBiKFQCSZ1RXp+PB2+M+em1WtylwuFUQKgUgyqyuSfcLq2eH5xHPtEAmREKmESLYlOucSIRFEQiS1SOb2LJltUN1UUS4VRAqBSDIrLJKTSesRIs3cPyKFwjRBKy6SnnKpIFIIRJJZWZEOz4368iBE0uwfkUJhmqAVFenc9uhuy9zZVy4VRAqBSDKrKZIfGiUXNjBGmgCREEkl0pnTJ71CaNQmHaRL87lF+ljWJQGRZBDJLzI2FOmzPR+bPUb/oNk1betPd2wpCkRS7B+RQmGaoNUU6dBdX+dEylbuSxcaswv1FRc0RyTV/hEpFKYJWn2RxhdjtguMtVsTm5RLBZFCIJLMaoqUtkJWpPOxS4RaTbt032gd88eB4y+fEnpfPs3mytwpoj5da8q6MANNWd1viqAv5lFTls/8Y/qyr9q/6WnClrX6fMrpqy/Xmm36pqsK0wRdR62+G01ZqTh7jc13TDZkMwxjInWsQE27BmbLm/Sbm3hItaoTT1UfwOJ5qfoAFklOpMbR20S6zV2pelzo2nVGc3XJQOm//3vHPwwSnh8Gs3k0L4ooXVkP5qemrCdNWQPzqopy9NOXz6r9G1XYslafT/ku3UiXi3lShWmCKqi+kUhHu43dN4nkHnxynHiUP5HUybU8fu4hZaKX+uPHj3D3kzFSCMZIMhWOkYYinR41tt8kkn+E0MR5pHa+B1ecAx9P5YcjdIyIFAKRZCoW6fR0s/Emkez5o4TRnebtpA3ybVFxDnwslR+INL5/RAqFaYIqF+l0t7H3FpHSCxtyA6Ru1h617ECpVZhfGEsFkSb2j0ihME1QZSI1crxNpAnafn7O9uhaw2+dwi/HUkGkif0jUihME1R9i/S2MVJpxlNBpPH9I1IoTBO0midkI4j0YZpHiBQEkWTqK9JUECkEIslUJJKd9c4NjxAJkUIgUoihM9ubwxHSXn7KDpEQSQaRQtgGafd0c9fZs7v5VpGOz+X3EQmR6iPS3mnSFO013ipS7oa+uCLZp+ojUghEkqlGpM2sRdp+e4ukfFhDWZE2EGkaiCRTjUi7jfePkW5LLNdXRiR3fgmRQiCSTEWzdnvjlzW8oWtnDnULupQTacOfqUWkAIgks7rnkSYuWY0j0g9Emgoiyay8SJFXo9hApOkgkkx1Ih29/4RsfJE2NujaTQeRZCoTac+dSzp6/wnZM51IV72Efm8KI5Eep4Wpykq5Mc/RyuqbF03YzxIppwzMg+oINEH3i6++V5fy91JFP5iBJmxZq89rs7ntZsHffkK2JCX+Jvz4wfR3EFokmeruR9pzIr39hKzv2ann7cqlgkghEEmmOpF239ki3SaTdqqOHSLN3j8ihcI0QZWJtNs4fd8YyT/+5POtboj0RpE2pochkgwihZjDrN3u9unme2bt/BP0P3+e5xqyGxvTTUIkGUQKsYznkY7to4Q+m/OxZ38jEiIhUgmRjg+9SCbqCdkEL9LGxgyT1lKk6X87EEmmOpHc2djt7TeLdH54eD7nFqmWIs1ohBFJpjKR7Izdtp+8e+P0d3aFkOq+pHKpOJE2NmaZtJ4iTTUJkWSqm/62zyt+zx2y2cqXqgYJkWbu338SZjXCiCRTpUj233tOyNrenfo+2XKpWJE2NmaatH4izfzbgUgyVXbtTjf33OmkN4tUhnKp1PaELCIJYZqgCi9aPTrd3nWX3L2raxf7fiRPXUWa3Qgjkkzlz/5+86xdthxF7obzbMXLjn8EOCI5yosUNgmRZFb5PNKESQd2HWa7ZJ9dkLlTNKlcKnUVaTaIJLO6ImUrm2eXCPllkdrNoVG2WWoVljYvlwoihUAkmcq7dm+ebDhOpr3HVzUftkQjoxDJgkgyayFSwtuv/j5PRBq//LvVTBa9nLpi3wwQKQQiyVQt0nuetOpNOi9e/W2XY+4kIrlBEquaL+2y3KxqLlNyVXPH269skB8i1EnnGjKRfvPL+LXFQtaap6oPYPG8VH0AiyTaZINwsV3HCVPo2vW/O/71S0L/65fZfDd3iqgvPU1ZF2agKev6QhH01TxpyvKVkb28Ue3f9DVhC6++S131FVP+2tNs0zddTdiyVl/izfameyLXm0VKrhAqNEtt3/Aw2VBMmTGSzFqMkbbtreaN/H0UpUUq2OQ9ShZgZvo7gkjy2qCIJFPpw08a2++7aDVvk7ENUToQ4oTs+0UKrFaNSDJVPo5rz/2LIZKn7acVrEBtLhFCpJmshUjDPt124+g9F62Wo1wqiJSuJjAehkgy1Z1H2mwMe3e775lsQKQQ8USaCEMkmapPyL59+huRwiASIiHSNJi1C4FIiORZOpFkEElmhUU6m9Oq5hZECoFIMqsrkrtY9bNymTFEmr1/RAqFaYJWV6Tjw+PksQ2qxc3LpYJIIRBJZnVFsgL564Pm9xD9Way1SEw2pGGaoBUW6dhdAT7s3c3vIfqzWGeRmP7OwjRBKyySdci2RvN7iP5MEEkGkUIsoUhn6WPtEGmCeCJxidDai3SbPPf7jK7dBPFEmghDJJnVFSmZ+j5XTjZ8vUjoXV7M5toMFFEX15qyvpsHVVlXiqBL86wp61cx5b5mm765Kbz2Ik2EKavvXrPLmNXnUx4VrdnmzvQ0YW+qvgCqHSqrL5ZImU4aj8zXbwm9i2+z6Zp7RdS3a01ZV+ZBVdalIujCPGnK+lVMua/Zpmduim9Yj4SwJa0+n/KoaM02Q5E0YW+rvkCYJkhZfXFFuuWE7CRjKXMeSYaunafMM/QRaeb+ESkUpglaXZHSxShokSZBJERSi5RMf48/aBWRPiASIpUQybZGnw8/f+YSoUkQCZH0Ih3bKbu5rmo+E0SSQaQQSyjS8aEXiSsbJkEkRFKLdH54eE6LJINIiKQWafTwb9WdsuVSQaQQiCSzwiLdJh6pGiREmrl/RAqFaYJWWKTkud/KJzeUSwWRQiCSzGqKpJrwRqQURJJBpMkFxhApDyIhUgmRpCefdP2iSO5h+izrkoBIMoiUTTRMNE3NptepO75FuVQQKQQiyayoSJ7jcZE6TS9ScUFzRFLtH5FCYZqglRbJcTYSqdNse4XarYmwcqkgUghEkllNkcLzDF6k1sFoHfNLv9c/p/cV3kS8xbMf8RbP3pUiSHmHrM88u0P2TrV/3S2ey1p9xZQvVHe1Ku+QXdbqizLZcG7kJ6x6kZoH1iZv0m9+Gb+2ELzmPFV9AIvnpeoDWCTRREqfx5UnNzpKfvz9keOP9wlP9woezLMmTFXWwLxowh4HmijzUxXl6KUvVYf5ZHRhmqDHiNX3oKs+n3K/VNHP5lETtqzVF2WMdG7kWbucSN10jXNHuV4qY6QQjJFkVnOMlDAxazcmUn4OvFwqiBQCkWRWWiTH2aRIvi0qzoGXSwWRQiCSzGqKFL5AKJm1s9PfrcL8QrlUECkEIsmsrkjy9XZJM9RqNgsjJESavX9ECoVpglZdJPXVq+VSQaQQiCSzwiJ9zq64Q6QxEAmRVCK5B+gn9/QpH/5dLhVECoFIMisqUnr9t/4Ov3KpIFIIRJJZWZFM0sHTPbEBkWbvH5FCYZqgVRYpPSOLSOMgEiKVEil5AjgijYFIiKQSienv6SASIiHSNBApBCK9USSNPIjkQSQZRCr1jFVEQiQZRPqc69cpTyWVSwWRQiCSzGqK5DhmjBQCkRBJL5Lls1qkq15Cv6fgzjxqwlRl3ZjnaGX1zYsm7OcbUh6YB9URaILuF199ry7l76WKfjADTdiyVl9MkRysjzTOWMq0SDK0SG+gXCqIFAKRZBBJBJFCIJIMIokgUghEkkEkEUQKgUgyiCSCSCEQSQaRRBApBCLJIJIIIoVAJBlEEkGkEIgkg0giiBQCkWQQSQSRQiCSDCKJIFIIRJJBJBFECoFIMusmUtc/+9uuylxc2LxcKogUApFk1k2kdFXzrvuHSA5EkkGkELYhst8P7IourcLS5uVSQaQQiCSzViJ1mu3cQmNtFhpLQCQZRJrmkkkXvWTFvhREkkGkGSJ1EpHcIKn1O8cfHhNeHhU8m5+aMFVZT7qynp80UeZVFeW4SV8qU1aFLWv1+ZTvSxX9Yp5VYZqgCqpvwSL91nS0p2+3jjxVfQCL56XqA1gkdO1E6NrJ0LULsQiRmGxApNkg0gyRmP5GJM02iDRLJE7IIpICRJol0rBbxyVCiDQLRHoPP5e0rNdfEQsrsqwpxyxrjkUva1llKSFS1hC5Ge/WrHCAGqEXyc7TuaFRd6xfBwB6kdxZ14PW+CkkACg9RrIitenVAYxRTqS27dW1DkYXBT0OHFWO8gCWgDIidbw/zYPhl5Y3KbnW7m+zKwI11wM+vequLoxZluqi1dcSV3BmF62qDvP5VRemCaqg+nzK2UWrC0+5guqb8/T3wUEmlfvG1d9Le/kyV3+Hyqr+6m8zuqLBX3GXUu6UGCdkQ3BCVmb9Tshm/hTnwMulgkghEElmnUTyCg17dNkPiORAJBlECtCywyN75be78LtVuJevXCqIFAKRZNZKJNNqNn3HLvsBkT4gUghEegPlUkGkEIgkg0giiBQCkWQQSQSRQiCSDCKJIFIIRJJBJBFECoFIMogkgkghEEkGkUQQKQQiySCSCCKFQCQZRBJBpBCIJINIIogUApFkEEkEkUIgkgwiiSBSCESSQSQRRAqBSDK1Eemql9DvKbgzj5owVVk35jlaWX3zogn7+YaUB+ZBdQSaoPvFV9+rS/l7qaIfzEATtqzVR4skQoskQ4sUApFEEEkGkUIgkggiySBSCEQSQSQZRAqBSCKIJINIIRBJBJFkECkEIokgkgwihUAkEUSSQaQQiCSCSDKIFAKRRBBJBpFCIJIIIskgUogVE2ljShgiySBSiPqKtLExxSREkkGkECsiUrvZ9Gu5dNIfEOkDIoVApKBHyTpj9kunaFK5VDKRNjammYRIMogUYjVEcuvH2lXN7dIufm0XRPqASCEQaRpDkfxCY+0IC41tbEw1CZFkECnE6ojUHvbo/KKXMVbsQ6RxEElmzUTqNG33rpOI5AZJvz9y/PE+4elewYN5tt82UgJhqrIG5kUT9jjQRJmfqihHL32pOswnowvTBD366otS1oOu+nzK/VJFP5tHTdiyVt+8u3YHRZF+azraMzZbQ56qPoDF81L1ASySOYs09KfQtbv07eCfvyXcXHybTdfcK6K+9TVlXZkHTVm9K0XQhXnSlOVr4mv68k61f3OjCVvW6iumfNHXbHNneqowTVAF1TdnkbrNTrzJhhkwRpJhjBRiJcZI3h/bEMWb/p4OIskgUoiVEMm0DoyXKN4J2ekgkgwihVgNkUyr2XSt0uhaIUT6gEghEOkNlEsFkUIgkgwiiSBSCESSQSQRRAqBSDKIJIJIIRBJBpFEECkEIskgkggihUAkGUQSQaQQiCSDSCKIFAKRZBBJBJFCIJIMIokgUghEkkEkEUQKgUgyiCSCSCEQSQaRRBApBCLJ1Eak7HbRXsR7FK8j3uJ5fakIUt4h+6uYsup2UeUtnstafT7lUdGabZR3yEatPk3QctwhGxLpIqF3eTGbazNQRF1ca8r6bh5UZV0pgi7Ns6asX8WU+5pt+uZGE6asvntNWTGrz6c8KlqzzVAkTVjU6tMEKauPrp0IXTsZunYhEEkEkWQQKQQiiSCSDCKFQCQRRJJBpBCIJIJIMogUApFEEEkGkUIst0j+gfmIFAKRZBBpDL/0BCKFQCQZRCqSLOKCSCEQSQaRCmwg0gwQSQaRCqTriiFSCESSQaQ8G4g0C0SSQaQ86QJ9iBQEkWTWS6SDdGk+t0hf6WVdNhBpJogks1YiHTS7pm396Y4tRaEUaQQihUAkmXUSabRQX3FBc0RS7R+RQmGaoHUSyWMXGGu3Jt4ulwoihUAkmfUTqdW0S/eN1jHvf3f865eE/tcvs/lu7hRRX3qasi7MQFPW9YUi6Kt50pTlM89e3qj2b/qasIVX36Wu+oopf+1ptumbriZsWatvviJ1rEBNuwZmy5v0m5t4SLWqE09VH8Diean6ABZJ4s1uY+/0qNFoxBWpM5qrSwZKvz9y/PE+4elewYN51oSpyhqYF03Y40ATZX6qohy99KXqMJ+MLkwT9Bix+h501edT7pcq+tk8asKWtfpSj+zX7UYjcymGSJ1cy+PnHlLK9VIZI4VgjCRT2Rhpc9d+3WukSkURqZ3vwRXnwMulgkghEEmmMpGGHTsn0lFEkdpJG+TbouIceLlUECkEIsmsU4vUzdqjlh0otQrzC+VSQaQQiCRTmUh7jVSnaCK1/fyc7dG1ht86hV+WSwWRQiCSTIXnkew0w95p1DHSFMqlgkghEElm/U7IIhIiIRIiTQeRQtRUpMa279o1ECkFkWQQKYQ9D7t5upeMj/YQyYNIMogUwjZIu8n09+nuJiJ5EEkGkUL4s7FJU7QX+Vo7RLIgUk1E2sxapG1apAREkkGkEP7UEWOkMRBJBpFC+B5dBiJ5EEkGkUJwHkkEkWQQKQQiiSCSDCKFSLw54oRsAUSSQaQQp8m8t525O1rYZMNVL6HfU3BnHjVhqrJuzHO0svrmRRP28w0pD8yD6gg0QfeLr75Xl/L3UkU/mIEmbFmrz2uzue1mwTkhm0KLJEOLFMJrY5uioUickE1BJBlECpGItEuLVACRZBAphNfG3s63yDFSuVQQKQQiyVQ3a7e7fbrJrN0IRJJBpBCcRxJBJBlECoFIIogkg0ghEm/c2djtbURKQCQZRAqRnEfataMkN3mHSBZEkkGkEEmDdHR61OAO2RGIJINIITKR7D9OyKYgkgwihci6dqebe9nTIREJkWQQKYTXxj4+f3vXXXKHSBZEkkGkENmk3dh9FBFEyla87PhHgCOSA5Fk1kKkeZxHOrDrMNsl++yCzJ2iSeVSQaQQiCSzTiL5ZZHazaFRtllqFZY2L5cKIoVAJJnKu3bRJxuGLdHIKESyzPmTsDHxDiKFmFuLFP/q71YzWfSSFftSEElmnUSKfh7JLsfcSURyg6TW7xx/eEx4eVTwbH5qwlRlPenKen7SRJlXVZTjJn2pTFkVNhm0sbExWdbCq8+nfF+q6BfzrArTBL25+sSyVCkXRIp9ZUMnnWvIRPrNL+PXnrHhGvK0mN0MRdpYzJ5m81L1ASyS+c3a+fbIFLt2jwPHXz4l9L58ms2VuVNEfbrWlHVhBpqyut8UQV/Mo6YsXxkf05d91f5NTxM2UX3Wo42x9yqoPp9y+urLtWabvumqwjRB12+sPokrc6MpK/Fme9M9kSuqSG3f8DDZUEx5np38DU/xTcZIIeKPkbbtreaN/H0U7xepnS7AzPQ3IilYC5Hs/RON7aiTDd1sIMQJ2UWJtLEhmYRIIebyOK499y+eSG0/rWAFanOJECdkZ7IWIg37dNuNIy5azUAkGUQKkXiz2Rj27nbjTjYgkgeRaiTSXKa/EcmBSIiESNNApBCIhEgeRJJBpBCIJIJIMogUApFEEEkGkUIgkggiySBSCEQSQSQZRAqBSCKIJINIIRBJBJFkECkEIokgkgwihUAkEUSSQaQQ1Yj09TKhd3U5m54ZKKIurzVBXfOoKktzXFfmWVPWq0v5In3Z12xzY+40Yctafb+KKfc029wbVc1ErT5VkK76qhHpy7eE3sW32XTNvSLq27WmrCvzoCrrUhF0YZ40ZflP1df0ZV+zTc/cqMKWtPp+Ff8vX2u2uTM9TVjU6tMEKauPrp0IXTsZunYhEEkEkWQQKQQiiSCSDCKFQCQRRJJBpBCIJIJIMogUApFEEEkGkUIgkggiySBSCEQSQSSZtRVpchGPFEQSQaQQtRZp/Om0ORBJBJFC1FykoEmIJIJIIeos0uQD00cgkggihai7SCGTEEkEkULUWCRxEY+UZRCp6xdFcg/TZ1mXBESSqU4kcQ2PjGUQqdn0OnXHfzGeynQQKQQiybxNJNmkKSLlt5ijSJ2mF6m4oDkiqfaPSKEwTdCCTsjm3ZufSJ1m2yvUbk38rlwqiBQCkWQWI9LGYkQyaVvUOhitY/7xT45/SW/QvYt4r/SNpizlvdI33xVBylvNfebf0pf3qv3r7pVe1urzKae3ml/daLZR3mq+RNXnuoPpiwWI1DywNnmTfvPL+LWnbbWePFV9AIvnpeoDmC9+XJW+WoBI+R9P/4vjH28SHm8UDMyTJkxV1r151oQ93CmC7sxPTVm+Aq7Tl6rDfDCqsGWtPp9yr1TRj+ZBFaYJWkj1JTMUyatFidRN1zh3lOulMkYKwRhJZhFjpLG5vsWJlJ8DL5cKIoVAJJl1u43CieTbouIceLlUECkEIsmspUimZae/W4X5hXKpIFIIRJJZT5FMq9ksjJAQafb+ESkUpglaN5GClEsFkUIgkgwiiSBSCESSQSQRRAqBSDKIJIJIIRBJBpFEECkEIskgkggihUAkGUQSQaQQiCSDSCKIFAKRZBBJBJFCIJIMIokgUghEkkEkEUQKgUgyiCSCSCEQSaY+In1MuP70cTbDT4Ii6mNXU9Y3M9CU9f2rIuiTedSUNZZyT7NN16jCKqi+e01ZPuXs5bVmm575rgrTBHWNapcxq68akS6vE/rXCu7MoyaspwnqmydVmGqH5kUT9upSvipV9L0ZaMKWtfp+uZS/lyr6wdyrjkATVEH10bUToWsnQ9cuBCKJIJIMIoVAJBFEkkGkEIgkgkgyiBQCkUQQSQaRQiCSCCLJIFIIRBJBJBlECoFIIogkg0ghEEkEkWQQKQQiiSCSDCKFQCQRRJJBpBCIJIJIMogUApFEEEkGkULMVaSuf/a3XZW5uLB5uVQQKQQiyaybSOmq5l33D5EciCSDSCFsQ2S/H9gVXVqFpc3LpYJIIRBJZq1E6jTbuYXG2iw0loBIMog0zSWTLnrJin0piCSDSDNE6iQiuUHS3+w5/v454eezghfzqglbeFnP5pcqynFfquifRhemCaqg+nzKD6WKjplyBdW3YJH++q8c//s14derBqMKW9aykk9VqaJ/RTzMmGWVSvm5VNHLmrKyLLp2InTtZOjahViESEw2INJsEGmGSEx/I5JmG0SaJRInZBFJASLNEmnYreMSIUSaBSK9h1dN0Me9/xWtrOu9E1VZvxRBz3v/WVPWeNGaoH/a+7/RyvoQsfq6uup7S9F/t/fP0cr6fxGr7y97f6sJK0tkkVR0mv81WlmXzf8Yrayn5r+LVtYY/6ep+vCriFl9F83/FK2sMf5n8x+ilfV3Eavvn5v/LVpZORBpBCLFBJHmDiK9C0R6F4gkgkjvApFigUgjECkmiDR3EOldINK7WCORBn+6ilbW85++Rivr9U8fo5U1xs2frqOVFbf6vkUra4zun+6ilXXzp160smJWX44qRAJYOxAJIAKIBBABRAKIwCJFGn8s3uTz8bQcDLdsRyqrPVHE28uagJTrkLJlkSKNPRZPuB1DycFwq3azFaUse4disYi3lzUJKdchZcviRJp4LJ5wg6CO0T267y/LuL95B60oZY1DynVI2bMwkSYeiyfdsl6uwG60soZVHK2s/BGS8vqnnLDIrl3x2SnSQ1TK0GpGK6s93DzacRUg5TqkbFm4SNnTvAqP9XpLYe1IZXXckDbWcY2XbUh57VO2rKpInXQUGqVaDg5W4FNFysuasmVFu3YdN3qM1lC7nviS93NIeWlTtlQgUoThXtufX4g2dBxuP59hKCnXIWXLwkWKMQHZdrUQpSxfofbI5jIxSsp1SNmyeJHef0qs6/9SRSnLtA6Mr9W5nKoj5TqkbFm8SKOrNSafj6fDbtf02767LDvB2vR/+iKUNQEp1yFlCxetAkQAkQAigEgAEUAkgAggEkAEEAkgAohUFeeHh+f2++3h4VnVxwLvBpGq4uzw8LP9ngoFKw0iVcXx4eGt/Z4KBSsNIlXF4eGh+54KBSsNIlVENjRKhBr28JKmafibz58PD4/9Wz7I/Zj88vwsdXC00Wdn463dyrVxt8VNfHkwRxCpIj4X5xoOPWf+N8NW6vD2bPRW8ttUj1SR0Ua3zqdzp4svcbRJWl6FydYARKqIzAgn1HH61etgX9ymb936L96PM+fK2fhGXqTD9JeFTZLyYK4gUkUcj0T6bBsN2/Dc5vxI3/M/fXZbHKcjKmdIYSP75bMXKfldfhM8mjuIVBEjj4ZmpDN3aafM/nybds3MWRZpf3mcBhY2Oh5+OT4cNj62Abod2+SwsizrAyJVw206+ncf8+PMnbPRLMRnJ8JxrvE6TpofH5PfyIp0e3g8/Dn1Kr8JJ3znDyJVQ9pxu01VSd48z2YhTKLS5/S3lvOs23de2GjYBB2fDb8fHroGKb/JZ3p2iwCRquE86Zd9TqcQbB/ODYCS35w5FZwFZ6MpNz/L4APzG6WT3ek0X26Tc074LgJEqob0k+4/5plOI6nO0xm3dCriPGlpvGtnxY1c43WW/t7kNzlj5nsRIFI1pH2vs8J8wrFJZtpMNsw5G/126NRo6FPcyInkRTszprDJMadiFwEiVUJxrsHkrlEYzQ2cHWYngD4fjs4t3R5mEaOrIYoXNYxtwlzDAkCkVYLxztKCSKsE452lBZFWiWPOrS4riLRKcA330oJIABFAJIAIIBJABBAJIAKIBBABRAKIACIBRACRACKASAAR0ynlQwAAABpJREFUQCSACCASQAQQCSACiAQQAUQCiMD/B7ZRBJTddsTuAAAAAElFTkSuQmCC"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Large brown bold italics labels\n",
"# and legend placed at top of plot\n",
"p + theme(axis.title=element_text(face=\"bold.italic\", \n",
" size=\"12\", color=\"brown\"), legend.position=\"top\")"
]
}
],
"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": "3.1.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
This file has been truncated, but you can view the full file.
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