mirror of
https://github.com/donnemartin/data-science-ipython-notebooks.git
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1c34b46258
Source: https://github.com/jakevdp/PythonDataScienceHandbook unmodified
1795 lines
1.0 MiB
1795 lines
1.0 MiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<!--BOOK_INFORMATION-->\n",
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"<img align=\"left\" style=\"padding-right:10px;\" src=\"figures/PDSH-cover-small.png\">\n",
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"*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n",
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"\n",
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"*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*\n",
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"\n",
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"*No changes were made to the contents of this notebook from the original.*"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<!--NAVIGATION-->\n",
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"< [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) | [Contents](Index.ipynb) | [Further Resources](04.15-Further-Resources.ipynb) >"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Visualization with Seaborn"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Matplotlib has proven to be an incredibly useful and popular visualization tool, but even avid users will admit it often leaves much to be desired.\n",
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"There are several valid complaints about Matplotlib that often come up:\n",
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"\n",
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"- Prior to version 2.0, Matplotlib's defaults are not exactly the best choices. It was based off of MATLAB circa 1999, and this often shows.\n",
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"- Matplotlib's API is relatively low level. Doing sophisticated statistical visualization is possible, but often requires a *lot* of boilerplate code.\n",
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"- Matplotlib predated Pandas by more than a decade, and thus is not designed for use with Pandas ``DataFrame``s. In order to visualize data from a Pandas ``DataFrame``, you must extract each ``Series`` and often concatenate them together into the right format. It would be nicer to have a plotting library that can intelligently use the ``DataFrame`` labels in a plot.\n",
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"\n",
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"An answer to these problems is [Seaborn](http://seaborn.pydata.org/). Seaborn provides an API on top of Matplotlib that offers sane choices for plot style and color defaults, defines simple high-level functions for common statistical plot types, and integrates with the functionality provided by Pandas ``DataFrame``s.\n",
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"\n",
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"To be fair, the Matplotlib team is addressing this: it has recently added the ``plt.style`` tools discussed in [Customizing Matplotlib: Configurations and Style Sheets](04.11-Settings-and-Stylesheets.ipynb), and is starting to handle Pandas data more seamlessly.\n",
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"The 2.0 release of the library will include a new default stylesheet that will improve on the current status quo.\n",
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"But for all the reasons just discussed, Seaborn remains an extremely useful addon."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Seaborn Versus Matplotlib\n",
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"\n",
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"Here is an example of a simple random-walk plot in Matplotlib, using its classic plot formatting and colors.\n",
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"We start with the typical imports:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"plt.style.use('classic')\n",
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"%matplotlib inline\n",
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"import numpy as np\n",
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"import pandas as pd"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Now we create some random walk data:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"# Create some data\n",
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"rng = np.random.RandomState(0)\n",
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"x = np.linspace(0, 10, 500)\n",
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"y = np.cumsum(rng.randn(500, 6), 0)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"And do a simple plot:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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H3PzFzWwq28SW8i2UmEoIVASSGCx5ESgVSqakTOFPa/5EdnW2X/pXairF7DLz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\nSKoIUuBLJBJJFeH/OyKinWS1qMsAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1023b2cc0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Plot the data with Matplotlib defaults\n",
|
|
"plt.plot(x, y)\n",
|
|
"plt.legend('ABCDEF', ncol=2, loc='upper left');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Although the result contains all the information we'd like it to convey, it does so in a way that is not all that aesthetically pleasing, and even looks a bit old-fashioned in the context of 21st-century data visualization.\n",
|
|
"\n",
|
|
"Now let's take a look at how it works with Seaborn.\n",
|
|
"As we will see, Seaborn has many of its own high-level plotting routines, but it can also overwrite Matplotlib's default parameters and in turn get even simple Matplotlib scripts to produce vastly superior output.\n",
|
|
"We can set the style by calling Seaborn's ``set()`` method.\n",
|
|
"By convention, Seaborn is imported as ``sns``:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"import seaborn as sns\n",
|
|
"sns.set()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now let's rerun the same two lines as before:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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hJGWVk9eYtpea8HujHDvQm7fdUT692tTOSitqjYq25kGe+fcPee2FY+OOa28e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KqqJJ3z+NReVWDndvyvvYL/1Zen3Cc+NDjn2rlBqeCra2tZadEzGI3jDsdIi2JOXjHbdgLkGJop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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11a0d73c8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# same plotting code as above!\n",
|
|
"plt.plot(x, y)\n",
|
|
"plt.legend('ABCDEF', ncol=2, loc='upper left');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Ah, much better!"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Exploring Seaborn Plots\n",
|
|
"\n",
|
|
"The main idea of Seaborn is that it provides high-level commands to create a variety of plot types useful for statistical data exploration, and even some statistical model fitting.\n",
|
|
"\n",
|
|
"Let's take a look at a few of the datasets and plot types available in Seaborn. Note that all of the following *could* be done using raw Matplotlib commands (this is, in fact, what Seaborn does under the hood) but the Seaborn API is much more convenient."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Histograms, KDE, and densities\n",
|
|
"\n",
|
|
"Often in statistical data visualization, all you want is to plot histograms and joint distributions of variables.\n",
|
|
"We have seen that this is relatively straightforward in Matplotlib:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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MxM/IYDTLsjQwMPkJRJzOmKLRqFze7D7do9GoXJZb0ejZT4gSHYnqU2cWBoCsIsBhtIGB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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11a191080>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"data = np.random.multivariate_normal([0, 0], [[5, 2], [2, 2]], size=2000)\n",
|
|
"data = pd.DataFrame(data, columns=['x', 'y'])\n",
|
|
"\n",
|
|
"for col in 'xy':\n",
|
|
" plt.hist(data[col], normed=True, alpha=0.5)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Rather than a histogram, we can get a smooth estimate of the distribution using a kernel density estimation, which Seaborn does with ``sns.kdeplot``:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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E+YABTjRLsiKj09sDu7YIKlGV7XLmzK4rgkltwvWxFu5QRpQHGOBEs9TvH0A4FoYjT7YQ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\nkEzgkiRJkpSGZAKXJEmSpDT0/yrJsHWX4UslAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11a195a90>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"for col in 'xy':\n",
|
|
" sns.kdeplot(data[col], shade=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Histograms and KDE can be combined using ``distplot``:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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V//x7mqZpNNnryVo5xtPj5Q5HCLEESeBCrNBQsrjkqlqef5eiyV68tT6UkOVkQlQ6SeBC\nrFAoOQxU/wz0GzXa69DQCEkCF6LiSQIXYoVCNTgCt+k2ml2NjKcnSOcz5Q5HCLEISeBCrIBSiqFk\nGJfhxDTMcoezqto8QQCGkzIKF6KSSQIXYgWi2RjxfIKA3V/uUFZdm6cVgKHESJkjEUIsRhK4ECvQ\nHxsEIGCvzg1MFlPn8GPX7URSY+UORQixCEngQqzAQHwIoCZH4Jqm0eRqIJ5LkJHn4EJULEngQqzA\nwLURuN9WeyNwgEZncTlZRNaDC1GxJIELsQID8RAuw4XLcJY7lDXR5Com8LGUJHAhKpUkcCGWKZVP\nM5oao90dRKvRcqONznpARuBCVDJJ4EIs0+C159/t7mCZI1k7pmHiN32MpSawlCp3OEKIeUgCF2KZ\nBmIhANpqOIFD8TZ6XuWZysy//agQorxKSuDHjh3joYce4sCBAzz//PNzjv/yl7/kkUce4ZFHHuGv\n/uqvOHv2bMnnClFtBuLFBN7ubi1zJGtreiLbmNxGF6IiLZnALcvimWee4Tvf+Q6/+tWvOHz4MBcv\nXpzVprOzkx/84Af84he/4G//9m95+umnSz5XiGozEBvErttocjaWO5Q1NT2RLSIT2YSoSEsm8JMn\nT9Ld3U1HRwd2u52HH36YI0eOzGpzxx134PP5Zv4dDodLPleIapK38gwlwrR72jC02n4C5Tf92HSb\njMCFqFBL/gYKh8O0tbXNvA4Gg4yMLFxi8Sc/+Qn79u1b0blCVLqhxAh5VWCTr73coaw5XdNodNYT\nzcbIFrLlDkcI8Qm21bzYG2+8wc9+9jN++MMf3vS1mpurv0BGLfQBaqMfq9WHD2PF8qK72npoavLh\niznw+OZfC56KOdBtBr55jq/0mM/nXPG5K/nc9kAL4eQoKS1Bvc9HU5OPQODm/1vK91TlqIV+1EIf\nVmLJBB4MBgmFQjOvw+EwLS0tc9qdPXuWp59+mm9/+9sEAoFlnTuf0dFYSe0qVXOzr+r7ALXRj9Xs\nw0dDxTkcdVoDkUiMWCyDtcCPUTyewbDrOGLpVTnm8zmJxdIrvu5KPteteQEITY5is5tEIjGy2Zt7\ndCDfU5WjFvpRC32Alf0RsuRPYm9vL319fQwODpLNZjl8+DD79++f1SYUCvH1r3+db33rW3R1dS3r\nXCGqSX8shK7ptHvalm5cA6b3Op/MTJU5EiHEJy05AjcMg6eeeopDhw6hlOLgwYP09PTw4osvomka\njz/+OP/2b//G1NQU3/zmN1FKYbPZ+OlPf7rguUJUI0tZDMRDtLpbMA07849xa4vX7sGmGUykp8Bb\n7miEEDcq6Rn4vn37ZiamTXviiSdm/v3ss8/y7LPPlnyuENVoNBkhW8huiAls0zRNI+AIMJ6eoKCs\ncocjhLhBba+DEWIV9V8r4NLp3TgJHIr7gysU8Xy83KEIIW4gCVyIEk2XUO30dZQ5kvU1/Rw8mqv+\niUJC1BJJ4EKUqP/aHuAb6RY6QJ2jDoApSeBCVJRVXQcuRK1SStEfH6TJ2YDL5lqfzwQy6dTMa5tN\nkU6nyWTT6AWD9A3HABzOtYmrzukHZAQuRKWRBC5ECSYzUyRySXbUrd8qikw6xUeXRzFNEwCHmSST\nzTE5GkO36YxnjJm22WyWXVua1yQOu27Ha/cQzcdQsrWoEBVDErgQJeibuX2+vs+/TdPENIuV0Uyn\nHYWBaTrQbfrM++uhzhFgIB4ilosToG7dPlcIsTB5Bi5ECQauJfDODfb8e1rdtYlsQ6lwmSMRQkyT\nBC5ECWaWkG2wGejTpmeiDyVlMyIhKoUkcCFK0B8bJGD68Jsbc9OE6RH4cEoSuBCVQhK4EEuIZeNM\nZqY27OgbwGN3Y9MMhmUELkTFkAQuxBKmC7is9wS2SqJpGj6bl0hmjIJVKHc4QggkgQuxpP749AS2\njZvAAXx2LwVlMZqKlDsUIQSSwIVY0nQFto1WA/2TfLZre4MnZCa6EJVA1oELsQilFFenBnAZTmxZ\nnWju+r7YsViUjVTWxGfzADAsCVyIiiAJXIhFjE6OMpYZp8ls4I2hE7OOjY1G8Po94POUKbr15bMX\nR+BDksCFqAiSwIVYxFCymKyaPI14PpGok/FEOUIqG6fuxKGbDCdkJroQlUCegQuxiFByGIB6p5QP\n1TSNFlcT4eSozEQXogJIAhdiEaFrI/DpSmSVwrJgLKIxHNIZHdGZmjSIjClSaW1NP7fF2URBFRhN\nja3p5wghlia30IVYRCg5jKEZ+CqgAls2C8NDOuFQPfG4E6VuTNY2zn0E4KGpsUDv7jxdmwwMY3UT\netBV3PFsKBGm1dOyqtcWQiyPJHAhFpAr5BhJjRKwB9C1tR3ZLsayYKBPZ6APLMsG2HA4cjQHddxu\nRb4AmXQet2kjElFExuy8diyL0wE9W2DnLeAwi/HfuJe4w+liub1qcTUB0zPRe1e1n0KI5ZEELsQC\nQolhLBQBe/lG39Epg6uX7aSSGqZD0d6Rx66P4fIo/PUNM+3isRj5fJ5mPU1do0ky1URkxOT0WY3z\nFy22bEtTV5+f2Ut8OFZg15ZmnE7XsuIJOq+PwIUQ5SUJXIgFTBdwCdj96/7ZuRy8+Y7i4mUPoGjr\nKLBjp06hYDE5WmC+6St2uwmmwmnT6ejS2LotR2hAp++KwfkzboKtBRrqEthNDdM0VxRXwPTjMExJ\n4EJUAEngQixgegvR9R6BxxMab590Ek+A211g+04Ln19hs+sUljH52zCgs9uioVFx/qxBeNhgfKyZ\nzq4pnCtcuq5pGq2eIIOxEAWrgKEbK7uQEOKmySx0IRYwGAuhazq+dUzgA4MF/vC2m3hCZ+cO2HVb\nAp//5uq9ebyK2+/M09ldIJczuHypgciIfcXXa3MHyasCEZmJLkRZSQIXYh6WshiMD9HibMLQ1v7H\nRCnFqdM5fvdaBsuCO2/LcOftGvoqfbSuQ/eWAps3j6HriksXXJz6SKHU8v84aPMGAXkOLkS5SQIX\nYh4jyVGyVo52d+uaf1ahoPjD61nefjeHy6nxubtSdHWsTaEUrydLz7YxTIfFqdPwh9ezFArLS+Kt\n7uLysSGpyCZEWckzcCHm0X9tD/B2dxBWMZcqIJNOzSznikaTHHsdRkahoR723atIRpOk0wa6zWAt\ndktxOgvs7k1w9aKPC5cKJJMZvnS/o+Tz2zzFEfhwUkbgQpSTJHAh5jG9B3i7u5Xh2OqNNDPpFB9d\nHiU5FSNvmYRCftIpg/qGHFu2pwiNM7PUy7AnMU0npsO5ap8/zW4qvvRF+NPbBv0DBV55LcMdt4JR\nwqPxemcdpm6XmuhClJncQhdiHgPXRuBt7uCqX9s0TfJ5L1evtJFOGXR0FtjVq3C5nMWEbTowTUdx\nWdgastk0Hthn0rXJIDRs8fZJZ0mz3HVNJ+hpIZwcwVLWmsYohFiYJHAhPkEpxUAsRJOrEadR+q3l\nUkVG7Vy+0kShoNGzI8+WngLlKvRmGBr37zPp7NAZHbPx1nuOOc/EFZBOp8hkUsRiUaLRKRrt9eSs\nPFdH+4hGp+Z8rWRynBBieeQWuhCfMJGZJJFPsqO+Z1Wvq5Ti/VOKSx+70HWLzZsnaWv3rupnrIRh\naDzwBQe/fjlGeNTGq0cz7P+iA12/Vn712m1/K5cnGw7j9iRI5Yt/2Pz+7HmCRtes66WSCR68Zxt+\nf2VtACNErZEELsQnTE9g2+TrWLVr5nKKo8ez9A2Aw1mga9MYLk/l3H42DI29t6V555SL/kF4/c0s\n937GRLt2a8A0TSzNhtvpxe3x0Zhtgzhk7CncrvJv9CLERiS30IX4hIFrJVQ7fe2rcr1Y3OJXv0nT\nN1CgtQV29yZwOPKrcu3VZBhw96cyNDZonL9Q4PSZhWP0G8U67NHC+HqFJ4T4BBmBiw1NKUUsFp31\n3uXJqwDU4SMWi97USq6xCZ2330+TTsOtt9i4fU+eS0OQvYlrriWbDb50v4Nf/meGt07k8Ps0Wprn\ntvPoAXQMSeBClJEkcLGhxWJRXr1wDJfbPfPelVg/Dt3kw9GzjI1G8Po94Ft+8fCBIRsffORAAZ+9\n286tt9hJp9emQMtq8rh1vnS/g/98Oc3vj2d58P65bXRNx2vUESuMo5SaudUuhFg/cgtdbHgutxuP\nz4PH58HmtpEqpGlw1ePxeXC5lrfdJhRH9Sfez/LeaSe6AV9+wMGtt6y89ng5NDXq7LvPJJ+Ho8ch\nm52boP1GA3lypKx4GSIUQkgCF+IGE+kpAOodpc2gVqq4xGr6K5lKcvR4ig9O5XE5C3zmziiNDdkb\n2qTXpLraWtjcZWPvnXaSKbj0sYtPrgyT5+BClJfcQhfiBhOZawncWVdS+0wmw9VIEtM0UQouX3AS\nGTXxeAq0BgeIxCA7eH30mojHMM3Vr6y2Vnp32RgazjEYshEeNgm2XB9tOwvFxw6RVAh/rgGX2yu3\n0oVYR5LAhbjBRHoSgHpHaQkcikus7HYn588aREYNvD6LPbcViE/a0W36rISdtWdWPeaVKN45SM96\nb7o+ezqdmvX+7XsyhEftDA66sNnO0GQU5wOkSYIGQ/kr5GIZbuEu3B5ZUibEepEELsQNJjKT2HQb\nXnvpk9aUgvNnDEZHDHw+i92357FV+E9WLpvhfF8Ct+d6P6drsI9njFltE/EYXd0+Ll3wMzzcQnun\nQjfAVE5IaeSMDI4VzBUQQtycCv81I8T6yVt5YtkYTa7Gkm8FX79tbuDzW+y+rfKT9zS73Zx1d8A0\nHXPuGEDxroFZl6O+PsHEhIerlwts2VZA13Qcmou0lUBVy4N9IWqITGIT4pqpTHHN93Jun18dcBAZ\nNfH6qit5r0RbaxTTzDM4YDA5UfwDx6V7KJAnT67M0Qmx8ZSUwI8dO8ZDDz3EgQMHeP755+ccv3Tp\nEk888QS9vb1897vfnXXsgQce4JFHHuHRRx/l4MGDqxO1EGtgInPt+beztBnokQmdcxdd2O0Wt+6p\n7eQNoOuKru5JQHHhnA3LApdWvAWfIVne4ITYgJb8lWNZFs888wwvvPACLS0tHDx4kP3799PTc32j\nh7q6Or7xjW/wyiuvzDlf0zS+//3vEwjIxgaisl1fQrb0CDyesDhxsniredstKRyO6lrnvVJud572\nTRahAYPQgI67fXpCW2qJM4UQq23JEfjJkyfp7u6mo6MDu93Oww8/zJEjR2a1aWhoYM+ePdjmGYIo\npbCsytm0QYiFTGQm0dHwO/yLtssXFK8ezZLN6ezclsLnr/zqaqupq7uAzabov2pgKxR3U5MRuBDr\nb8kEHg6HaWtrm3kdDAYZGRkp+QM0TePQoUM89thj/PjHP15ZlEKsMUtZTGam8Dv8GNriPxZ/ejNL\nZMxiU1uOro7KWBa2nmx26NpSoFDQCF/xoqGRkRG4EOtuzZ/a/ehHP6KlpYXx8XG+9rWvsXXrVvbu\n3bvkec3N1b+etBb6ALXRj4X6YJoWvpiDrC1HQVm0eBvxep0za6FtNoVuKGy24izry1cLfHyxQFOj\nxp170uQthWnacDjn3kI3HTZ0w5h1LJu1oWkGmlWYc+yT5+l2HU2b3cbhtK/4uktde77rLnTt7i0Q\nHlKEh2zUdXrIaCk8bhOv14lOlqYmH4HAwt83tfw9VW1qoR+10IeVWDKBB4NBQqHQzOtwOExLS0vJ\nHzDdtqGhgQcffJBTp06VlMBHR2Mlf0Ylam72VX0foDb6sVgfotEYsViGEWsMAJ/hIxKZ4KPLo5im\nyeToGLpNxz9eIJ+DU+8Xq421dcY5eyVCOpOksaWV+X6Uspk8us0ik87Nek/TLHLzHPvkebploGkW\nGXuxjcNpJ5POrfi6i117oXgXu/bmrRqnT9rJRb1Y/jijiTGU5iCZyBCJxMhm57+TUevfU9WkFvpR\nC32Alf0RsuQt9N7eXvr6+hgcHCSbzXL48GH279+/YHt1Q8HkVCpFIpEAIJlMcvz4cbZv377sIIVY\na9dnoBcnsJlmcY20aTqufTnp7/OQy+l0bykQqDMxTQd2u1nOsMuqvkFR32CRmSr+4olZE2WOSIiN\nZckRuGEYPPXUUxw6dAilFAcPHqSnp4cXX3wRTdN4/PHHiUQiPPbYYyQSCXRd53vf+x6HDx9mfHyc\nJ598Ek2zpop5AAAgAElEQVTTKBQKfPWrX+W+++5bj34JsSzj6Uk0ipuY5LNzR6/jYxqj4WKZ1I5N\nMilz2paePO9/XJzIFpUELsS6KukZ+L59+9i3b9+s95544omZfzc1NXH06NE553k8Hl566aWbDFGI\ntaWUYiIzic/0YdNtc4qSFAoaF87b0DTF9lsKLDHHbUNxe6DR5yYOjKQj5Q5HiA1FfhWJDS9RSJK3\n8jQssAPZUMhHNqvR2V3A45WSoZ/U1WaiCjqThYlZj9CEEGtLErjY8CazUQDqHfVzjsUTJuPjbjwe\ni01dcut8Pi63hp7zoBxxBmpgMpEQ1UISuNjwpnLFBP7JEbhlQSgUABTbdxbQ5adlQR7DiaZbnOzv\nL3coQmwY8itJbHjTCfyTNdAH+3WyWTuNjUm8Prk1vBiPrbid6EQ+wujUxituI0Q5SAIXG5pSislc\nFJ/di12/XsAkk9aKpUJtBVrb4mWMsDo4KCZw3RXnXL/89xJiPUgCFxvaeGaSvMrPrP+edvWyE8vS\naA1GMQwZfS/FiRsAVyDJ8ESGUERqowux1iSBiw0tlBwGZj//HggpJifsBOosAgGp8V0KGyZ2HBje\n4iS2V94bLnNEQtQ+SeBiQxtMDgHXtxDN5RTvvAeapujZnkfTyhld9dDQ8GsNZLQYfq/ivQsTjEzK\nHz9CrCVJ4GJDG/zECPz9UzmSSWhtz+L2lDOy6uPXGwDY1JVHKfj9e4NljkiI2iYJXGxYlrIYTAzh\nNlyYhklkzOLDj/J4PNC+SWZSL5dfawTA6U/gcdo4fnKIXF7WzguxViSBiw1rNBkhVUhTb9ZhWYo/\nvpFBKbjnLjCMckdXffxacQQeZ5x7djYST+U4cW6kzFEJUbskgYsN60q0WHSk3h7gw4/yjI0rtvcY\ntAblwfdKeLU6dAyiapzP7m4C5Da6EGtJErjYsC5H+wBwFOp472QOlxPuvmvjbg96s3RNx280EFMT\nNPhNdm+u5/zAFIOjsi5ciLUgCVxsWFemrmLTDM6d8lEowGfuNnE4ZPR9M+qMZiwKXB3r4+5birXl\nf/vWZaLRqZmvqampWa9lAxQhVqak7USFqDXZQpbBxDABrZlQxKBrk8HmLnnwfbPqbE2QhaNnz9Lj\nuw2nqfPGRxEafQY2ozhe8HrGiSeKkwRTyQQP3rMNvz+w2GWFEPOQBC42pL7YIJayGA+7sNsUn73H\njiaLvm9andEMQMaRxOvzs6Mzy8mLY4SjsH2TDwCP14lFupxhClET5Ba62JAuTlwBIBcNsPcO8Ljl\nR2E1BK4l8BgTAGzbFEADzvdPljEqIWqTjMBFVVJKEYtFS2prmhZKabNG2McvngEd7mjbQtcmqRi2\nWkzdgVO5ZxK412Wno9nDwGiCsak0jQFnmSMUonZIAhdVKRaL8rs3L+AqoVyarvXzuT2dM89Z3zoT\nJpIbxjAc/OXndvLu6HtrHe6G4lV1RPQQKSuBS/ewo6uOgdEEHw9M0hhoLXd4QtQMSeCiarncHtwe\n35LtdLIz/w5PJHnhlffRd6fZ7r8Fh10mrq02r6onQoiJfBiXuZX2Jg9uh43LQzH27mwpd3hC1Ax5\n8Cc2jGyuwP/6+Wmy5hgAtzZtLXNEtclPsSLbRL5YhU3XNLa2+8nlLfpHZE24EKtFErjYECyl+Pav\nPuJqOEbnluKIfEugq8xR1SafKq7/Hi+EZ97r6fADcHGwtHkLQoilSQIXG8LhN0K8c26UHZsC2ALj\n2HUbm/2SwNeCiROncjORD88UaQl4HTQFnAxFEsRTuTJHKERtkAQuat75/hhH3hsmWO/ia49sI5QY\nZou/G7thL3doNctHIxmVImXFZt7r6QiggPNXJ8oXmBA1RBK4qGmhSII/fRTB4zT4u7+8naF0sf75\njvqeMkdW2/yq+Bz8xtvom9t86LrG2avjUj5ViFUgCVzUrMlYhqPvh9CAv/4v2wjWuzk/eRGA7ZLA\nV5VSimQiTjIRI5WM48i4ABhJDZBMxEgmYpg2na4WLxOxDGNTUolNiJsly8hETUpl8hw5MUAub7Hv\ntma2tnkBOD9xEbtuZ7O/s8wR1pZMKsXF/El8Rh1xbQqrUBxhD+ev4My7yaRS3MJd9HQEuDIc48Jg\nlKY6V5mjFqK6SQIXNSdfsHjt3UES6Ty3b2tkS5uHWCxKPJdgKBFmm28LyXgCKBaEyWRSGPbrN6PS\n6TTIHd5lczidOD1u8lYOTdNxaC7SJHG4rifqtiY3bqeNK0NRPr2zuYzRClH9JIGLmqKU4vVTw0Sm\n0mxt93NbTyPJ5DhH342RChSXMBnJBo6fGgIgmYgzUIji9ORnrpGIxzBNJ6ZDyn7eDI/uZ7wQJqOu\nl6rVNY1buup57/wo/SNxWvyygYwQKyXPwEVN+eDCGFeGY7TUu/jsnuBM/XOny82UEQGgw92D2+O7\n9uUtJusbvux2s5xdqBluvVglL2nNXvu9c3NxgpusCRfi5kgCFzXjUijKyYtjeF12vvipdgx99rf3\nSG4QAzv1NinnuR48erF4S+KGpWQADX4njQEnoUiCdLZQjtCEqAmSwEVNiCWzvHF6GLtNZ/9dHTjN\n2U+H0iSIWeM029vRNal/vh5c10bgCWvuSLun3Y8C+kZkJzghVkoSuKh6lqX4wwdD5AuKe3YFCXgd\nc9qMMghAm33Leoe3YRmagUvzkrRiWFizjm1u86FrcHUkWabohKh+ksBF1Tt1aYzIVJrNbT62tvvn\nbRPRigm83S4bmKwnrxFAYZEmMet9p2mjo9nLVCLPYESSuBArIQlcVLXRyRQnL47hdtr4zK7gvG1y\nKssEI9QZzbiNpbcfFavHoxf3YE8xdxey6Q1O3j43tq4xCVErJIGLqpXLW/zhgyGUgvtua8NcYG/v\nUWsIpVky+i4D77UEniQ251hHsxfTpnHi/DgFy5pzXAixOEngomp9cClKPJVj95YGWhvcC7YLWwMA\ntJuSwNebqTmxYZKcZwRu6BqdzS5iqTynL4+XITohqpskcFGVroYTXAknqfc5uGN704LtLGUxYg3i\nUG7qDKn8td40TcNrBMhrWVJqbhLvDhb/8Hr9w+H1Dk2IqicJXFQdpRQvvV4cVX/61hYMfeFqXmP5\nEDmyNNExU9RFrK/p9eAT1sicY/VeOy11Tt49HyGZln3ChVgOSeCi6rx7PsKloTjtjc5Fb50DDGaL\nu481q471CE3MY/o5+ISam8A1TePunY3kCxZvn517XAixMEngoqrkCxY/+f0FdB16N8+/ZGyapSz6\nsuexY+JMema2tZz9FZd9S9aYW/ehKW3eETjAXdsb0JDb6EIsl2xmIqrKa+8NMjKR4vO9zfjci3/7\njuT6yKgkHdYW+lJniaXnLleamhzH5XPj8iw+khcrp2sGTjxE1RgFlZ9zvN5nsrO7njNXJwhPJAnW\ny/8LIUpR0gj82LFjPPTQQxw4cIDnn39+zvFLly7xxBNP0Nvby3e/+91lnStEqRLpHL84fhmXw8aB\nve0z7yul5h1dX0yeAqA+1YTd5cDpcc/5crhkx7H14MaLQjGeD897/L7b2gA4fnJoPcMSoqotmcAt\ny+KZZ57hO9/5Dr/61a84fPgwFy9enNWmrq6Ob3zjG/z1X//1ss8VolSHX79KIp3nzz7Xjdd1ffSd\nSsY5N3GCK+mPZr4upk8xVLiCqZyMxELkszJBqpzcFAvoRPKD8x6/a0czLoeNP54akjXhQpRoyQR+\n8uRJuru76ejowG638/DDD3PkyJFZbRoaGtizZw82m23Z5wpRirGpNK+c6KfR7+RLd22ac9zhcs0a\nWacccZRm0WS24XC4yhCxuJGb4nyF0dz8Cdy0G3xmV5DJeJYPL8macCFKsWQCD4fDtLW1zbwOBoOM\njJQ2W/RmzhXiRi+/3Ue+oHj081uw25beTWw8X5wQ1WC0rnVoogQ27Hi1OiL5ISw1/xain7+9+Lvi\nD3IbXYiSyCx0UfHiqRzHPgjR4HdwzwL1zm+UtdLErAm8egCHLqPvStGgtVIgRyQ7/3Pw7qCPzhYv\nH1yIMJXIrnN0QlSfJWehB4NBQqHQzOtwOExLS0tJF7+Zc5ubq3/TiVroA5S/H6/89hzZnMVffGU7\nba3FNcWmaeH1jOPxOtHJYmLD4bQDEE5eASDo2oTDUXzPbl4/fiPTYUM3jFnHslkbmlZ8b77jN56b\nt2yYDvuyr61ZhUWvqxsGul2fiWPaQjGVct2lrr1QX5cTs8Npn/Xfb5pVsNFh20Rf4izDmX5u8xcn\nIepkaWryEQgUv8ce+txm/v3nH3LqygT/9Yvb5u1DpSj3z8VqqYV+1EIfVmLJBN7b20tfXx+Dg4M0\nNzdz+PBhnnvuuQXbK6VWfO6NRkfnbn5QTZqbfVXfB1i/fiiliMWic97P5ixeOnoBt8Nge4uNixeL\nFdhisSjxeAaLNMlEhmw6j27kUMpiOD2AgQ2/1UTmWnWvXDY/8+9Z18/k0W3WrGPZTB5Ns8jYc/Me\nv7FdLpsnm8mRsS/v2rklrqvbLHTLmIkDisk7k54/plKuu9i1F4p3uTFPxzfn2uk8DY5iydtwup+Y\nfjsAyUSGSCRGNlu8GdjbXY/N0Pj165e5d1dLxVbPk5/vylELfYCV/RGyZAI3DIOnnnqKQ4cOoZTi\n4MGD9PT08OKLL6JpGo8//jiRSITHHnuMRCKBrut873vf4/Dhw3g8nnnPFeKTYrEov3vzAi63Z9b7\nF0IJEuk8t3Z6Z1XqGo+EcXv8uL2zv+knCxHyZGmxbULXln5WLtaPU3Pj1QMMZ/pRLgtNm/sEz+uy\nc+eOZt46M8LFUJRtHYEyRCpEdSipkMu+ffvYt2/frPeeeOKJmX83NTVx9OjRks8VYj4utwe353pC\ntizFhdAohq7Ruz2I07z+7ZpMzN0YA2D02jKlJpuUTq1EzfZNXM6cZrIQod42/+O0+25r460zIxw/\nGZIELsQiZBKbqFhXhmPEUzm2bQrMSt4LSVuJa5PX6nDpniXbi/XXfO0Pq9H8wIJtdnU30Oh38OaZ\nEdLZuZXbhBBFksBFRVJKcfryOBqwa3N9SeeM5osTJptl9F2xpu+MjOZCC7bRdY17e9vIZAu8dUaW\nnQqxEEngoiKFIkkmYhm6W3343OaS7S0KjOWHsGHKvt8VzGP48Rp+RvMDKLVwxbV9t7ejaxqvnhiY\nNTFWCHGdJHBRkc5cnQBg95aGktpPEqFAnmZbO/o8k6NE5WhzdpNTGSYLowu2afA7+dSOJvpG4lwY\nnFrH6ISoHvKbTlScaCJLKJKguc5FY2DpzUaUUowTBjSZvFYF2p2bAQjn+hdtt//OYsncIycWfl4u\nxEYmCVxUnHN9kwDs7K4rqf2ECpPRktQbzZi6Yy1DE6ug3dkNQDjXt2i7W7rq6Gj2cOLcKBOxzHqE\nJkRVkQQuKkoub3FhcAqXw6A7WFphgyuFM4BMXqsWLsNDwGgikg/Nuz/4NE3T2H/nJgqW4uj782+C\nIsRGJglcVJRLoSlyeYsdnXXo+tJVuFJWnGHrCg7lwquXNmIX5Re0d2JRYEItPsv8s7tbcTlsHH0/\nRL4g24wKcSNJ4KJiKKU42zeJrsGOztKS8eXMaRSKBlortuymmKvF1glAxFp4ORmAwzT4/G1tTCWy\nvHNOlpQJcSNJ4KJijExmmYpn6W714XIsXbhFYXEp8yEGNgI0rUOEYrU02zvQ0JdM4AD339mBBrx6\nQm6jC3EjSeCiYlwcSgCws7u0wi1jDJOy4rTrWzGQuufVxKaZNNpamVIRUvnUom2D9W56exq5MDjF\n1eHq37RCiNUiCVxUhLFohtBYmka/k6YSlo4BDGoXAOg2dq5laGKNBO1dAFyMXV2y7f67ikvKfvfO\n4kvPhNhIStrMRIi19sfTxaIeO7vr5n2WrZQilby+gclUKkLEG8KvNWJPOVEyAK9oSqmZDWh0siQT\nGfxWIwDvD51id90ti85h6Gw0aK138sbpYf78vs0017nXJW4hKpkkcFF22VyBNz6KYNp0NrfOv3Qs\nlYxzbuIEDpcLgAHzAmgKj+Xn48n3cfncuDzyS71SZVIpLuZP4jPqMLGRTedRKHQMzsQu8ts3P8bj\nWXzZYGeLk+GJNL88fpFDf9a7TpELUbkkgYuye/NMmGSmwC2dXgxj4ac6DpcLp8eNUooEUTSlE3R3\nEktOrmO0YqUcTidOjxuH045u5ADwxP3EjAkK9tysrWTnc0u3l4+uxnjjTITHvpgh4JWiPWJjk2fg\noqyUUhw5MYCmQU9baVuAxq1J8loWPw0YmvwNWs08FPf7HrWWLpeq6xq3bPKSLyhefluehQshCVyU\n1cXBKH3hOL1b6nA7SnuQPZYfBsCvGtcyNLEOPMoPCkZKSOAA3UE3fred194bJJ7KrXF0QlQ2SeCi\nrI68W/zF/fnelpLaW6rARGEEmzJxU1qpVVG5bNgxLRcTKkzWWrreuaFr3H9HkEy2IJuciA1PErgo\nm8l4hnfOjtDR5GFbu7e0cwoRLAr4VQMaUnmtFrjzXhSKcH7xzU2mfW53Ex6njVfe6SeVWbiWuhC1\nThK4KJuj74coWIoH7tpUchnU67fPS9snXFQ+V6F4J2U4e7mk9g67wYN7O0mk8xx9f+lKbkLUKkng\noizyBYvfvzeIy2Hw2d3B0s4hS9Qax637cOBa4wjFejEtJw5cDOWuopQq6Zz9ezfhMA1+81Yf6ayM\nwsXGJAlclMW750eZSmS5t7cNp1naTPIpxgBFo9G6tsGJdaWh0axvIqOSjBfCJZ3jcdr58t5Oooks\nv31LZqSLjUkSuCiL6QlI++/cVPI5xQQO9bbSJryJ6tGqdwMwmL2waDulFLFYlGh0int31eF12fj1\nm1cZHI4QjU7N+Sp1RC9ENZJFtGLdXR6K8vHAFHu2NhBsKK16WlolSGlxvHodds1BhvQaRynWU5Pe\njoGdwewFel33LjgnIpVMcPTdceoaiksIt7V7eP/iFC+8fIFPbaub0/bBe7bh9wfWPH4hykFG4GLd\nvfxWcbbxgU93lXzOUOEKAPWGjL5rkaHZaDM3E7emiBbGFm3rdLlxe3y4PT529wTxue1cGk6SxzHz\nvtvjw+UurTCQENVKErhYV2NTad45O8qmZi+7Npe2bSjAsHUFFNTbmtcuOFFWHfYeAAZzF0s+x9A1\nPrWjGaXgvY8jaxWaEBVJErhYV6+c6MdSigN3d5a8dCxlJRhXYdz4sGtS/7pWtZmb0TEYWOI5+Cd1\nB700BZxcHY4RmVx8b3EhaokkcLFuUpk8xz4IEfCa3LOrtKVjcH1ikx9Z+13L7JqDFvsmpgoR4oWp\nks/TNI07bynemTlxblQmrokNQxK4WDfHPgiRyhTYf+cmbIvsOvZJAzMJXGqf17oO+zYABrOl30YH\naG1ws6nZQ3giRV84vvQJQtQASeBiXRQsi1fe6ce063zxUx0ln5e2kozmB6nXWrBjrmGEohK0m1sB\njYHs+WWfu3dnC7qm8fbZEXJ5a/WDE6LCSAIX6+LEuVHGohnu623D67KXfN5Q7jKgZtYJi9rm1N0E\nbZ2MF8LEC8vb593vMdmztYFkOs8HF2RCm6h9ksDFmlNK8fJbfWjAg5/uXNa5oewlAIJ66UvORHXr\ncuwEoC97btnn7tnagNdl58zVCaYSst2oqG2SwMWaUUoRjU7x3tlBLg/F6N1Sh8vIzVsxKxaLwifm\nHuVVjnCuD5/egEeXYhy1SilFMhEnmYiRTMSoz7WgY3AlfYZEPLqsSWk2Q+eeXS0oBe9emMKSCW2i\nhkklNrFmYrEov3vzAm9dKC7tafTbOH5qaN6245Ewbo8ft/f6Ht8juX4K5Gk3t8xJ7qJ2ZFNpLlon\n8RnXK6l5CRBlnJNTx7ld+zxuT+l7v3c0e+kKeukLx3n77BgP3lO39ElCVCFJ4GJNJXI2RqeytDW6\n6WxbeBZ5MhG/NhKLzbzXlyveQm0stJFMxVHGmocrysThdOL0XC+r25zvIJodJ+Vc2YzyT9/aQiiS\n4Bd/GuCzt3Uta96FENVCbqGLNXWmr/gL+PZtTUu2TacSnJs4wZX0R1xOnyZUuIyh7ExmR/l48n1y\nWal/vlH4jUYMbEwRQanlzyj3OO3s6vKRSBf40SvLn9EuRDWQBC7WzJXhOOHJDK2NblrqS9u/2+Fy\n4fS4KTjzFLQcdbYmXB4PDpdzjaMVlUTXdOqNZvJajjE1vKJrbOvw0NXi5k+nw5w4N7rKEQpRfpLA\nxZp5+Z3i8+7be5ZfgGWyUPyFW2csPXIXtanR1gZAf2FlI2hd0/g/9m/BbtP53stniSazqxmeEGUn\nCVysictDUc70RWkKmCVvGXqjqUIEDR2/IeVTNyqPHsBUToatq2StlT0+CdY7+Yt9W4klc3z/5XNS\nZlXUFEngYk388o9XANjVVfrs4WkZK0laJfEbDeiazFzbqDRNo54WLApczZ5d8XUe3NvJjk0BTpwb\n5c0z4VWMUIjykgQuVt3V4RjvX4iwtc1Lc2D55U8nr+0HHTCk9vlGV0czGjqXMx+uePSs6xqHHr4V\n067zg9+eZyKWWeUohSgPSeBi1f3HseJGFAf2tpW8ZeiNpgrFMpjy/FvYsBPUu5gqjDFRWPnouaXe\nzeP3byORzvPd/zwjBV5ETSgpgR87doyHHnqIAwcO8Pzzz8/b5tlnn+XLX/4yf/7nf85HH3008/4D\nDzzAI488wqOPPsrBgwdXJ2pRsU5fHufDS+Pc2l3Pjk3Lv31eIE/MmsSty97foqjT2AHApczpm7rO\nFz/VwZ6tDXx4eZyX3+xbjdCEKKslE7hlWTzzzDN85zvf4Ve/+hWHDx/m4sXZW/0dPXqUvr4+fvvb\n3/KP//iP/MM//MPMMU3T+P73v8/Pf/5zfvrTn656B0TlsCzFj1+7gAb85f3bVjT6jjMJKBl9ixnN\nWjtu3Udf5hw5Vj6TXNM0/sfDuwh4TX527BIXB0vfc1yISrRkAj958iTd3d10dHRgt9t5+OGHOXLk\nyKw2R44c4dFHHwXg9ttvJxaLEYkUb4MqpbAs2dpvI/jT6WH6R+J8dk8r3a3LH30DxJgAICAJXFyj\naTo9jtsokGNYu3xT1/J7TP7mq7uxLMX/euk0ibRseCKq15IJPBwO09bWNvM6GAwyMjIyq83IyAit\nra2z2oTDxedVmqZx6NAhHnvsMX784x+vVtyiwmRyBX527BJ2m85f7Nu6omsoLOJMYtccuDTvKkco\nqtlWxx4MbAzoF1Dc3IDg1u56vnrvZsaiaV74z7OytExUrTWvhf6jH/2IlpYWxsfH+drXvsbWrVvZ\nu3fvWn+sWANKqeKuYfP43YkhJmIZvnRnKzYyRKOZeXcYW0xUH6egFWgwWld0+13ULlN30uXYyeXM\nh0TUEI20Ln3SIh65dwvn+iY5cX6U194b5IE7N61SpEKsnyUTeDAYJBQKzbwOh8O0tLTMatPS0sLw\n8PVyh8PDwwSDwZljAA0NDTz44IOcOnWqpATe3LyyW7CVpBb6ANf7MTU1xct/6sft9sw6nsoU+O07\nQzjsOi31Dt6/NA5AZDSMxxvA5126DGoqYRI1io9dml2tOOyzN58wHTZ0w8DhLL6fzdrQtOLrTx6b\nj920zXt8vnNLvbbpsJG3bJgO+7KvrVmFRa+rGwa6XZ+JY9pCMZVy3aWuvVBflxOzw2mf9d9voWvf\n+P/Rbtoxzfn/GxbyBhpZdLLscOzicuZDBrSz3MrumTZuj2/eP/h0sjQ1+QgE5v85/L++djdf/5ff\n8+KRC3zq1lZ2dNXP224htfbzXc1qoQ8rsWQC7+3tpa+vj8HBQZqbmzl8+DDPPffcrDb79+/nBz/4\nAV/5yld4//338fv9NDU1kUqlsCwLj8dDMpnk+PHjPPnkkyUFNjoaW7pRBWtu9lV9H2B2P6LRGJay\nYTF7bff7F8PkCoq7dzRjsztnbnBaykYikcbhWrqKVjyRIawPoGPgyPvIFGY/m8xm8ug2i8y1Z5bZ\nTB5Ns8jYc3OOzSeXzc97fL5zS712NpMnl82TzeTI2Jd37dwS19VtFrplzMQBxaSXSc8fUynXXeza\nC8W73Jin41vs2tP9uP7fMEc2m5v3urGJGCfz7+DzF7cEdRTcjNtGeGfsjzhxk0mluKX+rnm3G00m\nMkQiMbLZhZ8U/o8/u5X/+8cf8Oz/fpOn//unCXhKq1tQiz/f1aoW+gAr+yNkyQRuGAZPPfUUhw4d\nQinFwYMH6enp4cUXX0TTNB5//HG+8IUvcPToUR588EFcLhf//M//DEAkEuHJJ59E0zQKhQJf/epX\nue+++5bfM1GxIpMpzvVN4veY7Ohc+b7LcSbJ6ikCqhFdk/IE4robtxptjLUR4iKTthE2O3bd9LX3\nbGnkL/Zt5T+OXuL/+/kp/s+v9GAYSz++MU0LpTR51CPKqqRn4Pv27WPfvn2z3nviiSdmvX766afn\nnNfZ2clLL710E+GJSmZZij+dLk5W/MzuILq+8l9mo/oAAD6k9rlYmJdiffSxQph2a/HJkovN2bjR\nfbvquDBQxwcXJ/l/f/Yhe3cuvQJC1/r53J5O/P5AybELsdrWfBKbqF0fXZ1gIpZhW0eA1hVsWHKj\niDaIpnS8rHwUL2qfhkaDamNYu0w430czC08+SyUTHH13nLqGpUvybm5xcqEfroxm2dRmsbV98cSs\n38R6dCFWiyRwsSKxZJYPPo7gNA3uuqX55q5VmCChRanPBzEM2bxELC5AA2NaiNF8iHqCi7Z1utzz\nPh+fz95tMf54LsmfPgzj9zhoCsge9KKyycNGsWxKKd78aISCpdi7swWHeXNJdzBbrOzXkL+5pUFi\nY9DQabV1obAYZ3jpE0rkcRp8aosHy1K89u4AiZQUeRGVTRK4WLYrwzFCkQRtjW62tN388o3B7EVQ\nGg35xUdTQkxrsrVjw84Yw+TU6u0uFqyzs3dnC6lMgVffHSSXlyqSonJJAhfLks4WePvMCIau8Znd\nwax/gKMAAB8VSURBVJuehRsvTDFeGOb/b+/Oo6sq70aPf/c+85CJzAkhYR4TELVUrBYBRYsUKFr7\nrrfXXmlru+5aolYXXaJt33W1tg5v27vuvctX3zq0fXtL1UqtdtAaBRRERYQwBQgkQObp5OTM037u\nH4HImJyEhJPA77NW1uKc7P3s3yHnnN/ez/Ps35OlcrEgi5eI5OiaiXzLOAwtwZHEhS1ycqZppZlM\nHZeJxxdh865GDEMqtYmRSRK4SJqhFNsPdhGOJpgzOYc058DX+j7T8egBAPJV6QW3JS4vueaxmJWF\n2sQeIkZoyNrVNI2rp+VRlOOioS3A9urW/ncSIgUkgYukbdrVSrMnQlGOkxllA6tadS5KKY5GDqBj\nIlcVD0GE4nJi0kzkUEyCONXh7UPatq5rXD+nkEy3lepjXeyr6xzS9oUYCpLARVLqmrt5c1sDNovO\nteWFQ1LAoivRhs/opMgyHjMXfjUvLj9Z5GHHRU14FyHDP6RtW80mFl45FofNxPbqNll+VIw4ksBF\nv0KROP/x+l4ShuLqqZk4bENz9+GxE93n42zThqQ9cfnR0ZlsnoNBgn2hj4a8fbfDwuKrSrBadLbu\naeZYy+gv2SkuHZLARb/+6+2DtHpCLLwin4Ksobk3VimD45GDWDQbBRYZ/xaDN1afTJqexZHIXrzx\njiFvPyvNxqIrx2LSNTbvbKKpIzDkxxBiMCSBiz79bWstH+5tZnxhOku/MHTj1G3xBkLKz1jrJEya\n1BMSg6drOrOd1wGKqtD7w3KM3EwHC67oef+/t6OBtq6hu3VNiMGSBC7Oa1dNO8++VkWa08L3l89M\napGHZB2J7AGg1Dp9yNoUl68CSxl55hKaY0dpjtYNyzGKclxcN7uQRELxz+3N1DYP7Zi7EAMlCVyc\nU11zN//x+l7MZhNrbqsgN9MxZG2HjAD10RoyTNnkmIuGrF1x+dI0jTnO6wGNXaH3MdTwFGApLUjj\n2opCYgmDZ/5yiP0yO12kkCRwcZZ2b4j/9UoV0ViCB//1Sib2s7DDQB2J7EZhMMk2W5ZjFEMmw5zD\neNtMuhOd1ER2DdtxJhSls2BOHglD8ctXqthZ0z5sxxKiL5LAxWmC4Ri/eqUKbyDKNxZN5prywiFt\n31AJjoR3Y9GsMvtcDLlyx3ysmp29wQ+JEBy245Tmu7h76SR0Df7va7v5eH/LsB1LiPORBC56+UMx\nfvHyLhrbAyy+aiw3Xl0y4DaUUgQDPoIBH6Ggn1DQ3/s4GPBRH60hrIKUWWdi1izD8CrE5cymOyh3\nXEucGDX68F2FA0wtSecHd8zBatF59vW9vLGlFkNJ2VVx8cj0XwGA1x/h3/+4k/q2ANfMLOAbCycP\nqp1Q0M8Bz6fYHA78mhcNHW+4DYBIKESHqwmASfaKIYtdiFONt82kNrKXVo7TYTQxhrxhO9aUkkzW\n/stc/s9rVWx4v5ajLX6+vXT6kNVKEKIvcgUu6PCG+fnvd1DfFmDh3GK+fet0dH3wY9M2hwO7y4nd\neeLH1fMTd8TwqFYKLGW4TZlD+ArE5aqnx+f0Xp5Q0M8MfR4oqNY+Ia6Gd1nQ0oI0fvTfr2bauEx2\nHGzjp7/7lJbO4eu+F+IkSeCXuebOID/7/ae0eEIsvaaUf71xCvowTCxTStHKcQBmOOYNefvi8hQJ\nhTgcqKIuvO+0H0+0BVcwg7AWYE/ww2GPI91p5YFvzOHGq0pobA/wP3+znQ/3NqOkS10MI+nnuYzt\nPtLBc3/ZSyAc59YvFrP4ihx8vu7TtrFaDbq7e8pH+nzdMMjvo26jk6DmI08vIdtccKGhC9HLZrdj\ndznPej7Ll088HuUQn5FjFDFGP3u9eYfTPWR3Qph0nX9ZPJnSAje/fesA//nGPj7Z38p/WzKVrDRZ\nKlcMPUnglyHDUPxlSy1vbKlD1zXKSx3YLYoPdjedta3b1Yk/0FN1qrO9BacrHac7bUDHU0rRGDsC\nwBTT3At/AUIkIR6KYo+mEckO8Wm0kolUoJ/S6RgJhZjKlThdA3s/92f+rEImjc3kN3+vZmdNOweO\nd/GNRZP40hAtAiTESZLALzPdwSj/+Ze97K3zkJNh51s3lnG0pfu8X2Iutx2DMADBwOAqT3kT7QQN\nH+lqDBl69qBjF2Kg3HoGNouV1ng9HeZGSqxTLspx8zIdPPiNOWza1cjL79bw4t+q2byznuXXjGVc\nvqvf/dPS0iXZi35JAr+M7Kpp57dvHcDji1AxMZvv3DoDIxbkaEt3/zsPkoHB8dghQCOPgd+WJsSF\nKrZMpDvRSWu8nnTTGDJMORfluJqmsWBOMeXjs/nN3/eyp87LL/5UTUmug1llabjs5/76DQUD3Dhv\nEunpQ1tASVx6JIFfBrz+CP/vnUN8Ut2KSdf42vUT+Mo1peiaRvfwTtClQ2skqsLkm0uwxYauHKsQ\nydI1E+NtM6kOb6cusp8Zji9g0S7emHR2hp3vfGUSr71fx96jfo63hWhoDzN1XCazJoyRW87EoMk7\n5xJmKMUHVU28/G4NwUiciUXpfOuWaYzNdV+U40cI0UEzVs1GoWU8sVj0ohxXiDM59TSKLZOojx2i\nNrKPybY5Fz2GvEwbpUXZ1Db5+OxgG/uPejh4vIup4zKZOV4SuRg4ecdcYpRS+HzdHDjezRvbGqhv\nC2Kz6Ky6roRrZ+Wiawm6u72921/IzPL+4mjRj4KmKLFOxaSZiarIecfRQ0E/kXAY1f/woBCDkmce\niy/RidfooDF2hGyGtkxwMjRNY0JROqUFbmrqvew+0sm+Og8HjnUxpaQnkQuRLEngl5h9h5v4zVs1\ntPviAJTkOigfn45Ggq17ms/afrAzy/vTGj9OSAvgVllknhhzjIRCHI5XkXaOIi5+zYs/7GVMNA/H\nOW4JEuJCaZpGmW0G1eHtNMePYsaaslhMus7UcVlMGpvRm8j3H/Vw4HgX4/MdzCzLJj09ZeGJUUIS\n+CWirrmbv354lE8P9JQtLcx2MndqLtnp9j73G+zM8r6E8NMQO4xJmSlQpaf97nz37MaNGNFQZMhj\nEeJUZs3CRFsF1eHtNHCYMmMGTob25HUgTk3khxu62XOkk8NNQR77/W6+MC2HxXMLyE7vf7xeZq1f\nniSBj2JKKQ4e7+LND4+yt7ZnXeJxeU5K8xyMH3txZtqeKa5i1FODQlFojJcFS8SI49BdjLfO4HBk\nN5/E3mZh4uspL+1r0nWmlGQyqTiDqgPHqGmK8OG+drbtb6cs38n0EjdOmbUuziAJfBQ4Oa59UsJQ\n7K7tYuPOFupaAgBMLk5j8dwCCjMUVXWpqcOslGJ3fAtRLUy+eRyuhPQBipEp05xLQaSMZurY7NvA\nDelfH9D+Z34m+5PsXBNd1xibbaUkx4435qCqpp3a5iBHW4JMGptB+YRsXA45KRY9JIGPAj5fN//8\nqAaz1UFtS5CahgDBSAKAwjE2ppWkkZ1upa0rwIGa4RnTTsbB8A4ajSM4lJsiywSCEd9Fj0GIZGVT\nQJopk0OJnbzv28AsrsVOcrMog0E/m3b4yByTXGGigc41OTnZrawgjdqmbqoOd3DwuJea+m65/Uz0\nknfAKNDujXCgKc7R1lZicQOTrjGlJJPppVlkuE+fiDMcY9rJaI7WURXagg0nJUxB12SdHDHyTTZd\ngTIraiK7+My0kbnqhqT3tTucSZdhHeznUtc1JhZnML4wnSON3eyqaWf/UQ+H6ruYXpols9Yvc5LA\nR6iT49tvf3KcnYfaUYDDZmLW+Bwml2Rit5pSHWKv7kQn2wJ/R0fnKssiuqJtqQ5JiKRomsYc55fR\nNZ2D4c/4lEpuSNyOyzSyhn90XWPS2AzGF6Vx6LiX3Uc62H2kkwPHuphc7OLqacO35rkYuSSBp0Bf\n42fxhMFnNR427Wqhvj0EQHG2jeJsB5PL8jBdwDrdwyGY6GazbwMxFeULriVkxnPpQhK4GD00TaPC\ncR3RYIQ6fR/vdv+RL6V9lSzz2auXpZpJ15lW2jNrvfqohz21new96uPR/9rDrfPHc8MVRVjMI+fk\nXgwvSeApcHJM2+H8fLwtEjM40hTgcFOAcNQAoDjHzuRiN1qkE5fbOeKSd8QIssm3gZDhp8LxJUpt\n0wjGZdxbjD6apjHemIUVOwf1HbzX/Srz3DdTbJ2Y6tDOyWzSmTUhmyklmew61MyRpiDrKw/x1sfH\n+MoXS7muohCrRRL5pU4SeIo4nC6crjS6A1H2H/VQU+8lYSgsJp3ppVlML83C7eyZbdreOvJKkIaN\nIO/7/ozf6GKq/UqmOq5MdUhCXLASppLrLmab/+9s9b9JuWM+U+1Xjdh7rK0WEzNL0/nm4ol8sNdD\n5Y56fv/Pg7y5tY4lXxjHgiuKsFvla/5SJX/ZFFBK0dYV4fCBbupbeya3uOxmppdmMakkA+sI7wIL\nnOg29xtdTLCVU+64NtUhCTFgSqnTJpeFgn503USWI5cvmm/h03glu0NbaY80UmG+7rSaBqGAH7S+\niyRdTC67mdtvmMSSeeN4++PjVO6o5+X3avjbtqMsnFvMgiuKyXRfvAVcxMUhCfwiisYSbNvXwtsf\nH6Wxo2d8OyfDzoyyLMblp6GPsC7yc/HhYWv3B4SUn2n2q5jlmD9ir06E6MuZpX39mhcNHW+4DW9H\nJ9nWIjxpLTQZdXRGWihhCjZ6VtTzBToYa5qWyvDPKd1p5bYFE7l53jje2X6cd7bX85ctdfz1w6Nc\nNS2PxVeOZUKRVG27VEgCvwhaPUE27Wpk885GAuE4ugZjc+zMmphLbqZjVHyYlFI0aDXUaDsxlEGF\n4zqmOuamOiwhLsippX3jRgxN07G7nISDQXSzTp5zLPWxGtri9RxhN+OsU8k2FxKNBmCYl+JN1vkm\nxS6cnc21MzLZfrCT93e38tG+Fj7a10JJnpv5swqYNyOf3NzUlZEVF04S+DAJR+Ns3dPEB1VNVB/r\nAsDtsLD0mlKunpzOntoOnKNk0Y5Aopudwc00mg5jUVbmmq8n3xhHMHD2hLVgwI8a2SMAQiRN13TG\nWaeQpmdSF91PXXQ/3YlOMhk591+HggE27ejss6jMtTOyaPNGOXDMS0Obnz++W8PL79Uwa0IW5aUZ\nzCzLwHWeUq1SZ33kkgQ+hKKxBHtrO9lxsI3PatoJhntWBJs2LpMvVRRy1dQ8rBbTact5jmRhI8g+\nz1b2+3ZgkCBT5TIxOJsurY2Q49yFKbxdnTjSnLKimLikZJnzcOhuaqP76Ey04LV2YDXSKGZCqkMD\nkisq43KD2xLDHwjTHXdwrDXI7sMedh/2oAE5GVYKs+0UjbHjdvSkBqmzPrJJAr9A7V0hqo91setw\nO7uPdBCN9dwClpPpYOHcsXypvIC8rIufzEIhP62eeuDcZ87prjFkZeSe9XxMRWiN1VMX2U9TrBaF\ngVNPp9xxDQ5vOlEVxuZ0nHNFMYBwMDV12IUYbnbdyTTbXJrjx2iM1lLt+Bivr5XZzutJM2WlOryk\npae5KMvJo2IyJJTGviPtHG/10+YN0+aNUnWkG7fDQmG2k2y3jj8Ul6VNR6ikEvjmzZt5/PHHUUqx\natUq7r777rO2eeyxx9i8eTMOh4Of//znTJ8+Pel9R6JzjStF4wbNHSEaOoIcbvRzuNGPx//5LV65\nGTYqJmRRMSGTK2bk09nhB2JnXXEnu7DBhfAHvEQzwphMZ/dnG4ZBfVMNET1Aa7SBiCnEoa4EXtWG\nV3VyMrgMUw7T06+giCmYNDPtNA1v0EKMcJqmU2gpwxww0aV30kQdzd5jlNlmMMV+BemmkdO1nozM\nNBvlE7Mpn5hNKBKnvtVPfVuA5s4gh+q9HAI+qvZQlOti8thMJhdnMGlsBjkZdulWHwH6TeCGYfDo\no4/y0ksvkZeXx2233caiRYuYOPHzAgebNm3i2LFjvP322+zatYuf/OQnvPzyy0ntO9IYSuH1R6lr\naGPTZ8eJGib8oTjeQBxfKH7atlazTlG2ndwMKzb8pNkVWW6d463deAIR/IFzr2890IUNBipKGB8e\nOhPNxBIRoipCTEWIqSgxFSWuopAF1THg5IW0AZrScOLGFncw03kNhWllpLnt+PzhYYlTiNHKpuzM\nDF8DBYrdwQ+ojeyhNrKHAksZpdapFFonYNGs/Tc0gjhsZiaXZDK5JBPDUHR0hznW5CEah6MtARra\nAmz8rAGAdJeV0vw0SgvSKCtIY1y+mzHpdnRJ6hdVvwm8qqqK0tJSiouLAVi6dCmVlZWnJeHKykpW\nrFgBwOzZs/H5fLS3t1NfX9/vvheDYSiCkTj+UAx/KIYvGMUXjNEdiNIdjNLlj9Lli+DxRejyR0gY\nZ18eW0w6eVkOstJsZKXZyM10kOm29p6Ftrc2oeum3nEol9uOwbkT31AtOBIxQvgSnXgTnXgT7XQn\nOugytRPTTpw4nH6+gY4Ji2bFotwYMYN0RxYqqrDiIMOZjV1zoGsmQv4AlpCNoO5DJ0rwxIlIKOgn\nEg6jkluwSYhLllKKcDBIUayM680raTaOcSSxm+ZYHc2xOvSAiVxzMTmWIrLNhSRIYGP0zAvRdY3c\nTAcuS5wvlRfidKVxvNXfc1Ve30VdU/eJeuwdvfvYLCYKxjgpynFSkO0iN8NOdoad7HQ7mW7bqLhN\ndrTpN4G3tLRQWFjY+zg/P5/du3eftk1raysFBQW9jwsKCmhpaUlq32QppTjS2I3HFyEaTxCNGUTj\nBpFYgkg0QTgaJxJNEIomCIZjhCIJgpEYwXCcYDjeb4+1poHLZiI3w4LbbsJpMYglNMYW5ZDmtOKy\nmy9ql5E/0UXQ8BFTUTq1FuLEOB48QNDwEUx04ze8RNXZJwgO3GSoHBy4UBaFw+TCqtmxaFZMWs+f\nOxwI0hFsoThjPP6IF03Tceru3jZOvT/Wipnoicl4fs2LP+xlTDRPJqmJy1okFKYrfoho+PM5H8VM\nJJtCPLEWYrYoLfFjtMSP9fzSDGZlJd2bhUNPw6m7sekOrJodq2bHrFkwa1ZMmgk/XUkvazrcTh1K\nzHZB9tR0vji1Z0DcH4pR3xbieFuAxo4QLZ4wDe0BjracfXeKSddIc1pId1pJc1pOfKdasNtM2K0m\nHDYzNosJi1nHbOr5sZg0dF1D0zR0TUPTTgzuqZ6e0pPxNXrCdHoCJAzV+xNPGAQCQRKGwjAUhlKn\n/LtnP3VKO1arraf3QOPE8Xrqzuv6iX+bdEy61vNj0jDrOiaThknXMZs0stPt5I+5+N+JwzKJTamh\nH+Bt7gzy0999mvT2NosJp91MhttGcY4Ll8OCZsTwB0PYrCbsFg2bWcdm0bBbdewW7bQEHQz4ae4I\nkGEfA0aYUD9zs8KhALpu7r216tQr1/62PVNAdbMx+urnT5wcxj6Rr3V0HJqbTD0Xt5aJW8skXcvC\nrWXi7ehA180YxGkK1xHXE8QJAIHe5iKhEMGEj257Z09vgKaTiH1+U6vf50XXdaLRMGAhGu35XTwW\nIxaP4/eefxb9yX2Bs9o+9XdnCgb8BPx+zjc54Mx9T227r3YBgj4/hoJuT2e/7Q6kbb/PSzgSQtNN\np/3/JdN2PBLps11d19HNptP+/6zWnr/FYNvtq+3zxTvQmE/d/nxtn3wdJ7cd7N+9r5gBAn4/ZrP5\nnH/3/tpO9j3V8xn5nI6OO5zFRL0Ck9OEx2ilS7XRGW4hZPLjSbTRmWg5b7tAz7ey0ljovx2H5u57\nW/r/Pulr276+pwA8Ha38o/E4GZl9T9IrTIcsa4zv3TyBGHZaPGE8/gidvigeX5ROXxR/KEaLJ8ix\nVqPfOEcbTYP/fe91OO2W/jceQv0m8Pz8fBobG3sft7S0kJd3+tJ1eXl5NDc39z5ubm4mPz+fWCzW\n777nc2aBgdzcNN749+VJ7Xsp+B8sSnUIQgghRrDzn2KeUF5ezrFjx2hoaCAajfLXv/6VRYtOTy6L\nFi3iz3/+MwA7d+4kPT2dnJycpPYVQgghxMD1ewVuMpn40Y9+xOrVq1FKcdtttzFx4kTWr1+Ppmnc\ncccdfPnLX2bTpk3ceOONOBwOfvazn/W5rxBCCCEujKaGY8BaCCGEEMOq3y50IYQQQow8ksCFEEKI\nUUgSuBBCCDEKjcgEXl1dzR133MGKFSu47bbbBl38ZST43e9+xy233MKyZct4+umnUx3OBXnhhReY\nNm0aXV1dqQ5lwJ588kluueUWli9fzj333IPfPzTV8C6GzZs3c/PNN7NkyRKee+65VIczKM3Nzdx5\n550sXbqUZcuW8dvf/jbVIQ2aYRisXLmS73//+6kOZdB8Ph9r1qzhlltuYenSpezatSvVIQ3KSy+9\nxK233sqyZct44IEHiEaj/e80Aqxbt4758+ezbNmy3ue8Xi+rV69myZIlfPvb38bn6/++ftQItHr1\navX+++8rpZTauHGj+uY3v5niiAZn27Zt6q677lKxWEwppVRHR0eKIxq8pqYmtXr1anXDDTcoj8eT\n6nAGbMuWLSqRSCillHrqqafU008/neKIkpNIJNTixYtVfX29ikaj6qtf/aqqqalJdVgD1traqvbt\n26eUUsrv96ubbrppVL4OpZR68cUX1QMPPKC+973vpTqUQfvhD3+oXn31VaWUUrFYTPl8vhRHNHDN\nzc1q4cKFKhKJKKWUuvfee9WGDRtSHFVyPvnkE7Vv3z5166239j735JNPqueee04ppdSzzz6rnnrq\nqX7bGZFX4Jqm9Z59+Hw+8vPzUxzR4PzhD3/gu9/9LmZzz916Y8aMrpWKTvX444+zdu3aVIcxaPPn\nz++trDVnzpzTCg+NZKeuRWCxWHrXExhtcnNze1codLlcTJw4kdbW1hRHNXDNzc1s2rSJ22+/PdWh\nDJrf72f79u2sWrUKALPZjNvdf8W3kcgwDEKhEPF4nHA4nHShsFS76qqrSD9jjdbKykpWrlwJwMqV\nK3nnnXf6bWdErgf+0EMP8Z3vfIcnnngCpRTr169PdUiDUldXx/bt2/nlL3+JzWZj7dq1lJeXpzqs\nAausrKSwsJCpU6emOpQh8eqrr7J06dJUh5GUoVxPYKSor6+nurqaioqKVIcyYCdPZJPq3hyh6uvr\nycrK4qGHHqK6uppZs2bx8MMPY7fbUx3agOTn53PXXXexYMECHA4H1157LfPnz091WIPW2dlJTk4O\n0HPC29l57hLAp0pZAr/rrrtob28/6/n777+frVu38vDDD7N48WL+8Y9/sG7dOl588cUURNm/872O\n++67j0Qigdfr5eWXX6aqqor77rtvxF499fU6nn32WV544YXe59QILR3Q13tq4cKFADzzzDNYLJbT\nxp7ExRMIBFizZg3r1q3D5RoZC3Yka+PGjeTk5DB9+nQ++uijVIczaPF4nH379vHjH/+Y8vJyfvrT\nn/Lcc8+xZs2aVIc2IN3d3VRWVvLee++RlpbGmjVreOONNy6Zz3Yyi2elLIH3lZDXrl3LI488AsDN\nN9/Mww8/fLHCGrC+Xsf69eu56aabAKioqEDXdTweD1lZfS8MkArnex0HDx6koaGB5cuXo5SipaWF\nVatW8corr5CdnX2Ro+xbfyd5r732Gps2bRpVE6iSWYtgtIjH46xZs4bly5ezePHiVIczYDt27ODd\nd99l06ZNRCIRAoEAa9eu5cknn0x1aANSUFBAQUFBb2/gkiVL+PWvf53iqAZu69atlJSUkJmZCcCN\nN97IZ599NmoTeHZ2Nu3t7eTk5NDW1pbUkOuIHAPPz8/n448/BuDDDz+krKwstQEN0uLFi9m2bRsA\ntbW1xOPxEZm8+zJlyhS2bNlCZWUl7777Lvn5+WzYsGHEJe/+bN68meeff55nnnkGq9Wa6nCSdimt\nJ7Bu3TomTZrEt771rVSHMig/+MEP2LhxI5WVlfziF79g3rx5oy55A+Tk5FBYWEhtbS0A27ZtG5Ul\nrouKiti1axeRSASl1Kh7HWf2ZC5cuJDXXnsNgA0bNiT1OR+RY+CPPvoojz32GIZhYLPZePTRR1Md\n0qB87WtfY926dSxbtgyLxcITTzyR6pAumKZpI7YLvS+PPfYYsViM1atXAzB79mz+7d/+LbVBJeFS\nWU/g008/5Y033mDKlCmsWLECTdO4//77uf7661Md2mXpkUce4cEHHyQej1NSUtK7fsVoUlFRwZIl\nS1ixYgVms5kZM2bw9a9/PdVhJeWBBx7go48+oquriwULFnDPPfdw9913c++99/KnP/2J4uJifvWr\nX/XbjtRCF0IIIUahEdmFLoQQQoi+SQIXQgghRiFJ4EIIIcQoJAlcCCGEGIUkgQshhBCjkCRwIYQQ\nYhSSBC6EEEKMQpLAhRBCiFFIErgQl7m1a9fyyiuv9D6+8847qaqqSmFEQohkSAIX4jK3atUqXn/9\ndQAaGhrweDyjcqlPIS43ksCFuMzNmzePtrY2Ghsbef3111m+fHmqQxJCJEFqoQsheOaZZzCZTLz5\n5ps8//zz5ObmpjokIUQ/5ApcCMHKlStZv349hYWFkryFGCUkgQshKCgooKCggJUrV6Y6FCFEkiSB\nCyFoaWmho6ODRYsWpToUIUSSJIELcZl76623WLlyJQ8++CAWiyXV4QghkiST2IQQQohRSK7AhRBC\niFFIErgQQggxCkkCF0IIIUYhSeBCCCHEKCQJXAghhBiFJIELIYQQo9D/B6dVbPTrJPBxAAAAAElF\nTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11acced30>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.distplot(data['x'])\n",
|
|
"sns.distplot(data['y']);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"If we pass the full two-dimensional dataset to ``kdeplot``, we will get a two-dimensional visualization of the data:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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OZPnO1SSmHAcgxCeIcX1GM6hLfxztGu+xVhqq2HFgL78d3MLpglQAlHIlvcO7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7/q8iXmAa4097JYLBhMBsID+79k6a2z1huuaa0n0FM/qD55ubgzKSBqUNvYqrqljj2lB9ldcrB3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\nYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11aebdbe0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.kdeplot(data);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We can see the joint distribution and the marginal distributions together using ``sns.jointplot``.\n",
|
|
"For this plot, we'll set the style to a white background:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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EpAgMJCIiUgRVBZLZbEZhYSHMZrPoUoiIXMobr3equk349NZBn3z2Jfr1ixddDhGRQ0IC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\nSBH+H3jVAOxlSfUyAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11ad139b0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"with sns.axes_style('white'):\n",
|
|
" sns.jointplot(\"x\", \"y\", data, kind='kde');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"There are other parameters that can be passed to ``jointplot``—for example, we can use a hexagonally based histogram instead:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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PsX///pc096U7JAAwdQWm0fhf4bPPORfjRw7j6OQkhoaH8R8//AHuurv+cfirXvUafOLe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\ngxFAo9Xh7t27XFzJz7y5SivH85/4DMJdnqoVCsKEXggv3rgwNRgNxl8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pSxWWim0e7LdR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2sZvfOHKrnl231fFZqpl/S5ElF5MSH1I6UcML9H01SYqgLNdhOO4wABQ8WoSABmxvC6YECHoWcX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\nKwAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11543ac18>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"with sns.axes_style('white'):\n",
|
|
" sns.jointplot(\"x\", \"y\", data, kind='hex')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Pair plots\n",
|
|
"\n",
|
|
"When you generalize joint plots to datasets of larger dimensions, you end up with *pair plots*. This is very useful for exploring correlations between multidimensional data, when you'd like to plot all pairs of values against each other.\n",
|
|
"\n",
|
|
"We'll demo this with the well-known Iris dataset, which lists measurements of petals and sepals of three iris species:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>sepal_length</th>\n",
|
|
" <th>sepal_width</th>\n",
|
|
" <th>petal_length</th>\n",
|
|
" <th>petal_width</th>\n",
|
|
" <th>species</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>5.1</td>\n",
|
|
" <td>3.5</td>\n",
|
|
" <td>1.4</td>\n",
|
|
" <td>0.2</td>\n",
|
|
" <td>setosa</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>4.9</td>\n",
|
|
" <td>3.0</td>\n",
|
|
" <td>1.4</td>\n",
|
|
" <td>0.2</td>\n",
|
|
" <td>setosa</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>4.7</td>\n",
|
|
" <td>3.2</td>\n",
|
|
" <td>1.3</td>\n",
|
|
" <td>0.2</td>\n",
|
|
" <td>setosa</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>4.6</td>\n",
|
|
" <td>3.1</td>\n",
|
|
" <td>1.5</td>\n",
|
|
" <td>0.2</td>\n",
|
|
" <td>setosa</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>5.0</td>\n",
|
|
" <td>3.6</td>\n",
|
|
" <td>1.4</td>\n",
|
|
" <td>0.2</td>\n",
|
|
" <td>setosa</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" sepal_length sepal_width petal_length petal_width species\n",
|
|
"0 5.1 3.5 1.4 0.2 setosa\n",
|
|
"1 4.9 3.0 1.4 0.2 setosa\n",
|
|
"2 4.7 3.2 1.3 0.2 setosa\n",
|
|
"3 4.6 3.1 1.5 0.2 setosa\n",
|
|
"4 5.0 3.6 1.4 0.2 setosa"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"iris = sns.load_dataset(\"iris\")\n",
|
|
"iris.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Visualizing the multidimensional relationships among the samples is as easy as calling ``sns.pairplot``:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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G6huQbitCySVTcZNyNvRne9Bj0iNHWxDR+8arflKKRx3lIMVnkOpaJFM50ZRh0Y7+hmWk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\nqkIzN7UlPwmtkMybNw933nkn1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f+kx2Mh3fuE9zERUWwFmqd6nnlFyB4Pls2UbFghiaFA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\nQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11ae9d160>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.pairplot(iris, hue='species', size=2.5);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Faceted histograms\n",
|
|
"\n",
|
|
"Sometimes the best way to view data is via histograms of subsets. Seaborn's ``FacetGrid`` makes this extremely simple.\n",
|
|
"We'll take a look at some data that shows the amount that restaurant staff receive in tips based on various indicator data:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>total_bill</th>\n",
|
|
" <th>tip</th>\n",
|
|
" <th>sex</th>\n",
|
|
" <th>smoker</th>\n",
|
|
" <th>day</th>\n",
|
|
" <th>time</th>\n",
|
|
" <th>size</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>16.99</td>\n",
|
|
" <td>1.01</td>\n",
|
|
" <td>Female</td>\n",
|
|
" <td>No</td>\n",
|
|
" <td>Sun</td>\n",
|
|
" <td>Dinner</td>\n",
|
|
" <td>2</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>10.34</td>\n",
|
|
" <td>1.66</td>\n",
|
|
" <td>Male</td>\n",
|
|
" <td>No</td>\n",
|
|
" <td>Sun</td>\n",
|
|
" <td>Dinner</td>\n",
|
|
" <td>3</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>21.01</td>\n",
|
|
" <td>3.50</td>\n",
|
|
" <td>Male</td>\n",
|
|
" <td>No</td>\n",
|
|
" <td>Sun</td>\n",
|
|
" <td>Dinner</td>\n",
|
|
" <td>3</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>23.68</td>\n",
|
|
" <td>3.31</td>\n",
|
|
" <td>Male</td>\n",
|
|
" <td>No</td>\n",
|
|
" <td>Sun</td>\n",
|
|
" <td>Dinner</td>\n",
|
|
" <td>2</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>24.59</td>\n",
|
|
" <td>3.61</td>\n",
|
|
" <td>Female</td>\n",
|
|
" <td>No</td>\n",
|
|
" <td>Sun</td>\n",
|
|
" <td>Dinner</td>\n",
|
|
" <td>4</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" total_bill tip sex smoker day time size\n",
|
|
"0 16.99 1.01 Female No Sun Dinner 2\n",
|
|
"1 10.34 1.66 Male No Sun Dinner 3\n",
|
|
"2 21.01 3.50 Male No Sun Dinner 3\n",
|
|
"3 23.68 3.31 Male No Sun Dinner 2\n",
|
|
"4 24.59 3.61 Female No Sun Dinner 4"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"tips = sns.load_dataset('tips')\n",
|
|
"tips.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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AbgeayWSyrXMiInIqu3fvBgAcOXIEwO0/FBZj9QKLhoYGrFixAsnJyXBzc4NK1fFOkJ0f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\n4jGsiIhI8f4/8A46ouL3SiQAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11c3a3fd0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"tips['tip_pct'] = 100 * tips['tip'] / tips['total_bill']\n",
|
|
"\n",
|
|
"grid = sns.FacetGrid(tips, row=\"sex\", col=\"time\", margin_titles=True)\n",
|
|
"grid.map(plt.hist, \"tip_pct\", bins=np.linspace(0, 40, 15));"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Factor plots\n",
|
|
"\n",
|
|
"Factor plots can be useful for this kind of visualization as well. This allows you to view the distribution of a parameter within bins defined by any other parameter:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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yxY0iIyMRHx9vt9qISFpm+2Dz8/ORmJiICxcuoKSkBC+99JJpkgC1r76+HvX19VKXQUQS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\nYImIBGHAEhEJwoAlIhLk/wApsnpaZFKY5AAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11c6f0518>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"with sns.axes_style(style='ticks'):\n",
|
|
" g = sns.factorplot(\"day\", \"total_bill\", \"sex\", data=tips, kind=\"box\")\n",
|
|
" g.set_axis_labels(\"Day\", \"Total Bill\");"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Joint distributions\n",
|
|
"\n",
|
|
"Similar to the pairplot we saw earlier, we can use ``sns.jointplot`` to show the joint distribution between different datasets, along with the associated marginal distributions:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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+Le0cYmEV4TpYnEcf12UNC5Yrarr3M7roTpbqSrSQ8JVN8yqXt5GfZREaTQgg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\nGWRbiq0AAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11d25ef98>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"with sns.axes_style('white'):\n",
|
|
" sns.jointplot(\"total_bill\", \"tip\", data=tips, kind='hex')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The joint plot can even do some automatic kernel density estimation and regression:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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SUhIFQlG+9fg/CUfjABgNOuZNzsag+pha6MBigsb6GjbW1wzqfK2tTZgcLmyyB58YJcGA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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11c3b0550>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.jointplot(\"total_bill\", \"tip\", data=tips, kind='reg');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### Bar plots\n",
|
|
"\n",
|
|
"Time series can be plotted using ``sns.factorplot``. In the following example, we'll use the Planets data that we first saw in [Aggregation and Grouping](03.08-Aggregation-and-Grouping.ipynb):"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>method</th>\n",
|
|
" <th>number</th>\n",
|
|
" <th>orbital_period</th>\n",
|
|
" <th>mass</th>\n",
|
|
" <th>distance</th>\n",
|
|
" <th>year</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>Radial Velocity</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>269.300</td>\n",
|
|
" <td>7.10</td>\n",
|
|
" <td>77.40</td>\n",
|
|
" <td>2006</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>Radial Velocity</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>874.774</td>\n",
|
|
" <td>2.21</td>\n",
|
|
" <td>56.95</td>\n",
|
|
" <td>2008</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>Radial Velocity</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>763.000</td>\n",
|
|
" <td>2.60</td>\n",
|
|
" <td>19.84</td>\n",
|
|
" <td>2011</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>Radial Velocity</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>326.030</td>\n",
|
|
" <td>19.40</td>\n",
|
|
" <td>110.62</td>\n",
|
|
" <td>2007</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>Radial Velocity</td>\n",
|
|
" <td>1</td>\n",
|
|
" <td>516.220</td>\n",
|
|
" <td>10.50</td>\n",
|
|
" <td>119.47</td>\n",
|
|
" <td>2009</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" method number orbital_period mass distance year\n",
|
|
"0 Radial Velocity 1 269.300 7.10 77.40 2006\n",
|
|
"1 Radial Velocity 1 874.774 2.21 56.95 2008\n",
|
|
"2 Radial Velocity 1 763.000 2.60 19.84 2011\n",
|
|
"3 Radial Velocity 1 326.030 19.40 110.62 2007\n",
|
|
"4 Radial Velocity 1 516.220 10.50 119.47 2009"
|
|
]
|
|
},
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"planets = sns.load_dataset('planets')\n",
|
|
"planets.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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VFRVFozwAAGCAqISgb37zm9q+ffsd7fHx8Vq3bl3kCwIAAMZh2wwAAGAkQhAAADASIQgA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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11ade0dd8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"with sns.axes_style('white'):\n",
|
|
" g = sns.factorplot(\"year\", data=planets, aspect=2,\n",
|
|
" kind=\"count\", color='steelblue')\n",
|
|
" g.set_xticklabels(step=5)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We can learn more by looking at the *method* of discovery of each of these planets:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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Pf/5j/SciIiIiIiIiIlIWBoOBvn37snbtWq5c\nucKvv/5Ky5YtixwD8M9//pN27dqRkJBAfHw8LVq0AOD48eMMHjyYxMREnJ2dmTVrFkuWLCEhIYG9\ne/eycePGQuUZjUaSkpJYsWIF8fHxODk5sWbNGgCys7Np3bo1CQkJtGnThs8//xyA+fPn8+GHH7J6\n9WrefffdYtty9OhRPv74Yz7//HPmzp1Lbm4ue/bsYcOGDSQmJrJw4UL27dtn1/hJ2ZQ64nPHjh3s\n3buX3bt3W7cZDAYWL158UysmUt2UNjG0JnkWERERERERuTYPaHJyMmvXruXBBx8sNDKzoB9++ME6\nF6jBYMDT05MLFy7QpEkTwsLCANi7dy/t27e3zuMZERHBzp076datW6FyDhw4QFRUFBaLhZycHPz8\n/ABwdXXlwQcfBOCee+5h+/btALRp04aXXnqJ3r1706NHj2Lr16VLF1xcXGjQoAF+fn6kpqby008/\n0a1bN1xdXXF1daVr1652iJiUV6mJz3379vH11187oi4i1ZrRaOSndz6gma9/kX3Hzp2F554odZJn\nERERERERkdogPDycmTNnsmTJEtLT04s9xtYcne7u7oVe20qcFtwfGRnJ888/X2Sfq6ur9WdnZ2fM\nZjMAU6ZMYc+ePWzZsoWHH36Y+Pj4Iue6ublZf3ZyciI3N7fEeojjlZr4DA4O5tChQ4SEhDiiPiLV\nWjNff4ICGpd+oIiIiIiIiEglO2c6buey/Eo9Lj9JGRUVxS233MKdd97Jjh07ij22Y8eOLFu2jMce\ne4y8vDyysrKKHBMWFsZrr73G+fPn8fLyYt26dcTExBQpZ+TIkTz22GP4+Phw4cIFsrKyaNy4sc2k\n6YkTJwgLCyMsLIzvvvuOU6dOldo2gNatWzN58mSefPJJrl69yubNmxk0aNANnSv2V2ri88SJE0RG\nRuLv74+rq6t1tazr50sQEREREREREZHqISgoiL9H27NEP4KCSl8hPn8UZ0BAANHRJVdgwoQJTJo0\niZUrV+Li4sKUKVOsj6jn8/f3Z9y4cdaFhbp27Wp9vDz/WkFBQYwZM4Zhw4aRl5eHq6srkydPpnHj\nxjZHlc6cOZP//ve/ANx3332EhITYTNAW9Mc//pHw8HD69++Pn58ff/jDH/D09Cz1PLk5Sk18zps3\nzxH1EBERERERERERB3F2dq6U6dgKriGTr127drRr1w64tsh2ZGQkAL6+vsyfP7/I8YmJiYVe9+nT\nhz59+hQ5ruCgvd69e9O7d+8S69OrVy969eoFwDvvvFNiPUeNGmWzTsOGDWPUqFFcvnyZwYMHExoa\nWqQscYxSE5+2VnAPDAy0e2VERERERERERESqs0mTJmE0Grly5QqRkZHcddddlV2lWqvUxOePP/5o\n/fnq1avs2rWLtm3bMnDgwHJf9PTp04wfP55z587h5OTEI488QkxMDBcuXOD5558nOTmZpk2bMnv2\nbLy8vMp9HREREREREREREUeaNWtWZVdB/k+pic9p06YVen3+/PliV8EqC2dnZ2JjY7nrrrvIzMzk\n4YcfplOnTqxatYqOHTsyYsQIFi5cyIIFCxg3blyFriUiIlJQbm4uRqOx2H1BQUE4Ozs7uEYiIiIi\nIiJyM5Sa+LxevXr1SE5OrtBF/f398ff3B8DDw4OgoCBMJhMbN25k6dKlwLU5HYYMGaLEp4iI2JXR\naOSndz6gma9/oe3Hzp2F556olHmORERERERExP5KTXwOGTLEusKVxWLh5MmTPPjgg3arwMmTJzl0\n6BAtW7bk3Llz1tW5/P39SUtLs9t1RERE8jXz9ScooHFlV0NERERERERuolITn88995z1Z4PBQIMG\nDWjRooVdLp6Zmcno0aOZMGECHh4e1gRrweuJiIiIiIiIiIh9lTQFVHlp6iipamwmPlNSUgBo2rRp\nsfuaNGlSoQubzWZGjx7NgAED6N69OwC+vr6kpqbi5+fH2bNn8fHxqdA1RERERERERESkKKPRyDfz\nfyLQ7za7lJecehxGUurUUXfddRchISGYzWaCgoKYMWMGderUsXl8bGwsXbt2pWfPnnap5+HDhxk/\nfjwGg4GUlBQ8PT3x8vLCx8eH6dOn89prrzFnzpwbLu9f//oXf/rTn+jYsaNd6if2ZTPxGR0djcFg\nwGKxWLcZDAbOnDmD2Wzm4MGDFbrwhAkTaNGiBY899ph1W3h4OKtWreLJJ58kPj6ebt26VegaIiIi\nIiIiIiJSvEC/22jWKMih13R3dyc+Ph6AcePGsXz5coYOHXpTr5mbm2sdiRocHMzq1auB4pOqZUl6\nAowePdp+FRW7s5n43LRpU6HXmZmZzJgxg61btzJ16tQKXXTXrl0kJiYSHBzMwIEDMRgMPP/884wY\nMYIxY8bwxRdfEBgYyOzZsyt0HRERERERERERqZratm3L4cOHSU5O5umnnyYxMRGAjz76iKysLEaN\nGlXo+DfffJMtW7bg7OxMp06dGD9+PJs3b+bdd9/FbDZTv3593nzzTXx8fJg7dy7Hjx/nxIkTNGnS\nhFmzZpVan4L1iI+PZ8OGDWRnZ3Ps2DGGDRvG1atXSUhIoE6dOixcuBBvb+9CydPw8HAiIyPZvHkz\nZrOZOXPm0Lx5c9LS0hg3bhxnz56lZcuWfP/996xatYr69evflLjK/7uhVd23b9/OxIkT6dSpE2vW\nrMHT07NCF23Tpo3NEaOffPJJhcoWEREREclX0vxlmodMRETE8fKfLDabzXz77bd07tz5hs47f/48\nGzZsYP369QBkZGQA15Knn3/+OQBxcXG8//77vPjii8C1x/mXL1+Om5tbuep65MgRVq9eTXZ2Nj17\n9mT8+PHEx8czbdo0Vq9eTUxMTJFzfHx8WLVqFcuWLeOjjz5i6tSpzJs3jw4dOvDkk0/y3Xff8cUX\nX5SrPlJ2JSY+s7KymD59unWUZ6dOnRxVLxERERGRCjMajbz6yV9p0NC90Pb0M9m8MnR5qfOQiYiI\niH3l5OQQGRkJXBsYFxUVhclkKvU8Ly8v6taty8svv0yXLl3o0qULAKdOnWLMmDHWqRkLrlUTHh5e\n7qQnQPv27XF3d8fd3R1vb2/rNYODgzl8+HCx5/To0QOA0NBQNmzYAFx78nnevHkAPPDAA3h7e5e7\nTlI2NhOfBUd5JiYm4uHh4ch6iUgtUdpKghqNIyKi/ysrqkFDd3yb6LusiIhIVVC3bl3rHJ/5XFxc\nyMvLs77Oyckpcp6zszNxcXFs376d9evXs3TpUhYtWsTUqVMZPnw4Xbp0YceOHcydO9d6Tr169SpU\n1+uTpvmvnZycyM3NLfEcJycnzGZzha4vFWcz8fn444/j4uLC1q1b2bZtm3W7xWLBYDCwceNGh1RQ\nRGo2o9HIT+98QDNf/yL7jp07C889odE4IlLr2Rq1CBq5KCIiIuWXnHrcrmXdjW+pxxVcRDufr68v\naWlpXLhwAXd3d7Zs2cIDDzxQ6Jjs7Gyys7Pp3LkzrVq1so6szMzMpGHDhgBFEqpVRevWrUlKSmLE\niBFs3bqVixcvVnaVag2biU8lNkXEUZr5+hMU0LiyqyEiDqCRi+WnUYsiIiJiT0FBQTDSfuXdje+1\nMkthMBiKbHNxceHZZ58lKiqKRo0acccddxQ5JiMjg5EjR1pHg8bGxgLw7LPPMnr0aG655RY6dOhA\ncnJyBVty4/W+0WNGjRrF2LFjWbNmDa1atcLPz09PVjuIzcRnYGCgI+shIiIitYBGLoqIiIhUDc7O\nzpXyvWv37t3Fbo+OjiY6OrrI9mnTpll/jouLK7K/W7dudOvWrcj261eEL07BsuFaLix/ZfnIyEjr\nXKRQeIBgwX0Fyyh4TGhoKIsXLwbA09OTDz74AGdnZ37++Wf27t2Lq6trqfWTiruhVd1FRERE7EUj\nF0VERESkNslfgCkvLw83NzemTp1a2VWqNZT4FBERERERERERuUmaNWtWZecfremcKrsCIiIiIiIi\nIiIiIvamxKeIiIiIiIiIiIjUOEp8ioiIiIiIiIiISI2jOT5FRERERERERGqZ3NxcjEajXcsMCgrC\n2dnZrmWKVIQSnyIiIiIiIiIitYzRaGT3W19zm08Tu5R3PC0F/tGT4ODgEo+76667CAkJwWw2ExQU\nxIwZM6hTp47N42NjY+natSs9e/YsU3127NiBq6srrVq1AmDFihW4u7szYMCAMpVT0OHDhxk/fjwG\ng4GUlBQ8PT3x8vLCx8eH6dOn89prrzFnzpwbLu9f//oXf/rTn+jYsWO56wTXYtSqVSseffRR67YN\nGzbw2Wef8f77799wOZMmTWLo0KEEBQXZPGbRokUMGjTI+p499dRTzJo1C09Pz/I34Caq0YnPkv56\nob9CiIiIiIiIiEhtdptPE4IaNnPoNd3d3a0rnI8bN47ly5czdOhQu19nx44d1KtXz5r4HDRoUIXL\nDA4OZvXq1UDxCdmyJD0BRo8eXeE6AfTr148FCxYUSnwmJSXRr1+/Gy4jLy+PqVOnlnrcokWLGDBg\ngDXxuWDBgrJX2IFqdOLTaDTy0zsf0MzXv9D2Y+fOwnNPlPpXCBERERERERERuTnatm3L4cOHSU5O\n5umnnyYxMRGAjz76iKysLEaNGlXo+DfffJMtW7bg7OxMp06dGD9+PJs3b+bdd9/FbDZTv3593nzz\nTbKzs1mxYgXOzs4kJiYyceJEtm/fjoeHB48//jgHDx5kypQpXL58mdtuu43XX38dLy8vhgwZQsuW\nLfnxxx+5dOkSr732Gm3atLmhthRsQ3x8PBs2bCA7O5tjx44xbNgwrl69SkJCAnXq1GHhwoV4e3sX\nSp6Gh4cTGRnJ5s2bMZvNzJkzh+bNm5OWlsa4ceM4e/YsLVu25Pvvv2fVqlXUr1/feu2OHTvy0ksv\nkZqaip+fH9nZ2Xz//ffWROazzz7L6dOnuXLlCjExMTzyyCMAtGrVikGDBrF9+3YmTZrE7Nmzeeml\nl7jnnnuYMmUK+/btIycnh169ejFq1CiWLFnCmTNniImJoUGDBixatIjw8HBrfT7++GNWrVoFQFRU\nFI899hjJycmMGDGCNm3a8NNPPxEQEMC7776Lm5sbixcv5rPPPsPFxYUWLVowa9asCvep69X4xY2a\n+foTFNC40L/rE6EiIiIiIiIiInLzWSwWAMxmM99+++0ND0o7f/48GzZsYO3atSQkJDBy5EjgWvL0\n888/Z9WqVfTu3Zv333+fwMBABg0axNChQ4mPjy+SvHzxxRd54YUXSEhI4M4772Tu3LnWfbm5ucTF\nxREbG1toe1kdOXKEefPmERcXx9tvv029evWIj4+nZcuW1lGj1/Px8WHVqlUMGjSIjz76CIB58+bR\noUMHEhMT6dWrF6dOnSpynpOTE7169eLLL78EYPPmzbRv3x4PDw8Apk2bxhdffMHKlStZvHgxFy5c\nACA7O5t7772X1atXF4nRP/7xD1auXElCQgI//vgjhw8fZsiQIQQEBLBkyRIWLVoEgMFgAGD//v3E\nx8ezcuVKPvvsM+Li4jh06BAAx48fJzo6mrVr1+Ll5cVXX30FwPvvv8/q1atJSEjgf/7nf8od65LU\n6BGfIiIiIiIiIlK9aRq7miUnJ4fIyEgA2rRpQ1RUFCaTqdTzvLy8qFu3Li+//DJdunShS5cuAJw6\ndYoxY8Zw5swZzGYzTZs2LbGcjIwMMjIyaNu2LQCRkZH8/e9/t+7Pf3Q9NDSUlJSU8jQRgPbt2+Pu\n7o67uzve3t7W+gYHB3P48OFiz+nRo4f12hs2bABg165dzJs3D4AHHngAb2/vYs/t06cPM2fOZMiQ\nIaxbt46BAwda9y1atMha3unTpzl27BhhYWG4uLjYnDt13bp1xMXFYTabSU1N5ciRIwQHB2OxWKzJ\n64J27dpFjx49rI/A9+jRg507d9K1a1cCAwP5wx/+AMA999xDcnIyACEhIYwdO5bu3bvTvXt328Gs\nACU+RURERERERKTK0jR2NUvdunWtc3zmc3FxIS8vz/o6JyenyHnOzs7ExcWxfft21q9fz9KlS1m0\naBFTp05l+PDhdOnShR07dtzQKM3iEnf53NzcgGujKM1m8402y2Y5xZWbm5tr92u3bt2as2fPcujQ\nIX7++Wfefvtt4Npcpz/88ANxcXG4ubkxZMgQa3zd3NysIzYLOnnypPWxdU9PT2JjY7ly5UqZ6lNc\nu+Da+5h//YULF/Kf//yHTZs28d5777F27VqcnOz7cLoSnyIiIiIiIiJSpeVPYyf2dTyt/CMaiyvL\nj9BSjysu6ejr60taWhoXLlzA3d2dLVu28MADDxQ6Jjs7m+zsbDp37kyrVq2soyMzMzNp2LAhQKGE\nqoeHBxkZGUWu5enpyS233MKuXbto06YNCQkJtGvX7obr6mitW7cmKSmJESNGsHXrVi5evGjz2N69\ne/PSSy/RuXNna7Lx0qVLeHt74+bmhtFo5JdffrEeb6t9GRkZ1KtXDw8PD1JTU/n2229p3749cC1+\nGRkZ1jlG88to27YtsbGxPPnkk+Tm5rJhwwbeeOONEtuWkpJCu3btaNWqFUlJSWRlZdl9dXglPkVE\nREREREREapmgoCD4R/GPOZeHH6HXyixFcSMMXVxcePbZZ4mKiqJRo0bccccdRY7JyMhg5MiR1tGC\nsbGxwLWFe0aPHs0tt9xChw4drI9Rd+3aldGjR7Np0yYmTpxYqKzp06czefJkLl++zK233sq0adOK\nrVtxdS2PGynH1jGjRo1i7NixrFmzhlatWuHn52edu/N6/fr148MPP+SFF16wbnvggQdYsWIFffv2\npXnz5tx77702r5n/OiQkhLvuuovevXvTuHHjQvN/PvroozzxxBMEBASwaNEi6zl33303kZGRREVF\nWY8LCQmxvh/XM5vNvPDCC2RkZGCxWIiJibF70hOU+BQRERERERERqXWcnZ0rZZqA3bt3F7s9Ojqa\n6OjoItvzk5IAcXFxRfZ369aNbt26Fdl+++23s2bNGuvrgsm7kJAQPvvssyLnLF682PpzgwYN2Lhx\no41WFK4XQGBgoHVV+sjISOs8pkChcgruK1hGwWNCQ0OtdfH09OSDDz7A2dmZn3/+mb179+Lq6lps\nnUJCQjh48GChbW5ubrz//vvFHn/9e1Gw/de3L9/171PBeg8dOpShQ4cWOr5gXACGDRtm/XnZsmXF\nXsOelPgUERERERERERGpgvIXb8rLy8PNzY2pU6dWdpWqFSU+RUREREREREREqqBmzZoVWQxKbpwS\nnyIiIiIOlpuXx9GjR4vdFxQUhLOzs4NrJCIiIiJS8yjxKSIiIuJgyennuLhmCnm+9QpvP5cFf19U\nKfNtiYiIiIjUNEp8ioiIiFSCQN96NA+w/8qVIiJS/ZT0JADoaQARkfJS4lNERERERESkEtl6EgD0\nNICISEUo8SkiIiIiUoNpTlkRyM3NxWg0FruvqnwO9CSAiIj9KfEpIiIiIlKDaU5ZETAajcxZuhvf\ngNsKbT9nOs7fo9HnQESkhlLiU0RqjOrwl3ypOUrqb6A+JyJVi0aSiYBvwG0ENAmq7GqIiIgDKfEp\nIjWG0Wjk1U/+SoOG7oW2p5/J5pWhy/WXfLErW/0N1OdERERERESqAiU+RaRGadDQHd8mHpVdDakl\n1N9ERERERESqLiU+RURE0OIfIpq+QURErqeppESkulPiU0REBC3+IWJr4Q/Q4h8iIrWVFoUSkepO\niU8RqbI0Ak8cTYt/SG1X1Rf+0O8FcSRb/S03Nxeg2P5mq3+KVGdV/XeDiEhJlPgUkSpLI/BERKQg\n/V4QR7LV33YZz3G5kQsN/Youbnfwt3Rcwuo7qooiIiJSCiU+RaRK0wi8mkHzQ4ncmNw8S7EjxjSK\n7P9Vtd8L1XluVFv9DRzT56rD74bi+tvJc1lk+7nQpFHRxe3OpGZzwQ7Xrd79SiOzRUSk6lDiU0RE\nbjrNDyVyY06lZ3Ps65f59bqRZBpFVnVV57lRbfU3cEyf0+8G24xGI0OXJOLRsHGRfZlnTvHJkIgq\nGx+NzBYRkaqkSiY+v/32W15//XUsFgt//vOfefLJJyu7SiIiUkGaH0rkxjT0cy8yksxeo8jk5qjO\n/78V19/AcX2uOsfuZvNo2BjPJkUT6tVBVRuZLSIitVeVS3zm5eUxdepUPvnkExo2bEhUVBTdunUj\nKEhfiKqj6vAIkxRWnR+tcoTq0Kf1iFnNof7mONUh1mJbZT+yXZvklRBrfVbKztb/PSX1W0s5Fl2q\nCu+NPT+n+j+7ZLY+pyX1EVv7rpXjZf9KViO6PxKp3qpc4nPPnj00a9aMwMBAAPr27cvGjRuV+Kym\njEYjr37yVxo0LPwIVfqZbF4ZulyPulRBRqORb+b/RKBf0REGyanHYaQePavqj+XpEbOaQ/3NcYxG\nI7vf+prbfJoU2n48LQX+0bPatKO2quxHtmuTC6mXmbhtGfWONCi0PcuUzqfRL+uzUkZGo5Ehiz/E\nvaF/oe1pB38l4O6uxZ6TlWpizTYXfI8UTkYZD/zIfa5NinyHqyrf3+z5ObUVt+wzZ1kSM7zSdT6R\nDwAADvJJREFU21rZbH1O0w4co16D4CJxg2t9ztMvpMj0CqkH9xBxT/+bWt+qzlZ/A/U5keqgyiU+\nTSYTjRv//3+2AQEB7N27t9hj8/8qdfr0aZtl7T95jLMZlwptTz6fxj0mE/Xq1Sv2vNrOnnEzmUzk\nZOaRfTG30PaczDxMNew9sBU3qF59zmQycTErHfeMol9KL2al2/19KyluB0+n4Jl5iXOZ5sLnpGfj\nWUw9TCYTp49mFulvF85dtlu9TSYT2ZnpZF4sXFZ2pv1jU1o9SoybVy51r4vbhezcSvvcmUwmTv6+\nj8yLqYW2p6cmYzKFOrROtmJnr/4G9utzVaW/5dfFZtzK0N8cEbfyMJlMpGdfpF7mdX+oy75YoTqV\ntb8ZTZnk5Llw8VLh+Jw8lU2mOfem97fiPqfg+M9queLmXzRuANmXLWTexN8N1T5uxfQ3sN3nzp3M\nJs//MuaLWYW252WWPZ5V5XeDI+Jmq7+ZTCZyMzMxX6xbaLsl+zIXjx7GfPF8kWtknvwv2T71ivxu\nyMm+yMWr7kW+w92M72/5da+sz6mtuOVmZtpsa3Xtb1D27yK2PqeW7CvkuhWN27V9l8nNvIT5YuH+\nk5edycnff6mycSvvPWpZ7hls9Tcouc85UqNGjXBxqXLpHZEqwWCxWCyVXYmCvvrqK7Zu3crUqVMB\nSEhIYO/evUycOLHIsTt37mTw4MGOrqKIiIiIiIiISJWwceNGmjZtWtnVEKmSqtyfBAICAkhJSbG+\nNplMNGzYsNhjQ0ND+fTTT/H399ecGiIiIiIiIiJS6zRq1KiyqyBSZVW5xOcf//hHjh8/TnJyMv7+\n/qxbt4633nqr2GPr1q1L27ZtHVxDERERERERERERqeqqXOLT2dmZSZMmMWzYMCwWC1FRUVrYSERE\nRERERERERMqkys3xKSIiIiIiIiIiIlJRTpVdARERERERERERERF7U+JTREREREREREREahwlPkVE\nRERERERERKTGUeKzDE6fPk1MTAx9+/YlIiKCxYsXA3DhwgWGDRtGr169GD58OJcuXbKes2DBAnr2\n7Env3r3ZunWrdfvbb79Nly5daN26tcPb4Wj2itvly5d56qmn6N27NxEREbz11luV0h5Hsmefe+KJ\nJxg4cCARERFMmTKFmjy9rz3jlu/pp58mIiLCYW2oDPaM25AhQ3jooYcYOHAgkZGRpKWlObw9jmLP\nuF29epVXXnmFXr160adPH7755huHt8dR7BW3zMxMaz8bOHAgHTp0YNq0aZXSJkewZ39bu3YtERER\nDBgwgBEjRnD+/HmHt8dR7Bm3pKQk+vfvT0REBLNmzXJ4WxyprHE7f/48MTExtGrVin/+85+Fytq/\nfz8RERH06tWL1157zeFtcSR7xk33DGWPW227Z7Bnf9P9Qvnilq823C+IVEsWuWFnzpyxHDhwwGKx\nWCwZGRmWnj17Wo4cOWKZOXOmZeHChRaLxWJZsGCB5Y033rBYLBbLb7/9ZhkwYIDl6tWrlhMnTli6\nd+9uycvLs1gsFssvv/xiOXv2rKVVq1aV0xgHslfcsrOzLT/++KPFYrFYrl69avnb3/5m+fbbbyun\nUQ5izz6XkZFhLfe5556zrFu3zsGtcRx7xs1isVi+/vpry9ixYy39+vVzfGMcyJ5xi46Otuzfv79y\nGuJg9ozbv/71L8vs2bOtZaenpzu4NY5j789pvsjISMvOnTsd1xAHs1fczGazpWPHjpbz589bLBaL\nZebMmZZ33nmnchrlAPaKW3p6uqVLly7Wz+ZLL71k2b59e+U0ygHKGresrCzLrl27LCtWrLBMnTq1\nUFlRUVGWX375xWKxWCxPPPFEjf4OZ8+46Z6h7HGrbfcM9uxvul8oX9wsltpzvyBSHWnEZxn4+/tz\n1113AeDh4UFQUBAmk4mNGzcSGRkJQGRkJBs2bABg06ZN9OnTBxcXF5o2bUqzZs3Ys2cPAGFhYfj5\n+VVOQxzMXnGrW7cu7dq1A8DFxYW7776b06dPV06jHMSefc7DwwO4NqLsypUrGAyGSmiRY9gzbllZ\nWXzyySc888wzldMYB7Jn3ADy8vIc34hKYM+4ffHFFzz11FPWsuvXr+/g1jiOvfsbwNGjR0lPT6dN\nmzaObYwD2Stulv8bxZOZmYnFYiEjI4OAgIDKaZQD2CtuJ06c4Pbbb7d+Njt06MDXX39dOY1ygLLG\nzd3dndatW+Pm5laonLNnz5KZmUlYWBgAAwcOtJ5TE9krbqB7hvLErbbdM9izv+l+oXxxq033CyLV\nkRKf5XTy5EkOHTpEy5YtOXfunPULib+/v/WRTpPJROPGja3nBAQEYDKZKqW+VYW94nbx4kU2b95M\nx44dHVf5SmaP2A0fPpz7778fT09PHnroIcc2oJJUNG5z5sxh2LBh1K1b1/GVr0T26G+xsbFERkYy\nf/58x1a+ElUkbvmPUs2ePZuHH36YMWPG1OgpAgqy1++GpKQkevfu7biKV7KKxM3FxYXJkycTERFB\n586d+f3334mKiqqUdjhaReLWrFkzjh49SkpKCmazmY0bN3Lq1KlKaYej3UjcbDGZTDRq1Mj6ujZ9\nJ65I3Goze8Wttt0z2CNuul8oe9xq6/2CSHWhxGc5ZGZmMnr0aCZMmICHh0eRv4TV5L+MVYS94pab\nm8vYsWN57LHHaNq06c2oapVjr9h9+OGHfPfdd1y5coUffvjhZlS1Sqlo3A4dOsTx48fp1q1bjZ7j\n6Hr26G+zZs0iMTGRTz/9lF27dpGQkHCzqltlVDRuZrOZ06dP06ZNG1atWsW9997L9OnTb2aVqwR7\n/k5NSkqiX79+9q5ilWSP/rZ8+XISEhL47rvvCA4O5r333ruZVa4SKho3b29vpkyZwpgxY4iOjiYw\nMBBnZ+ebWeUqQd99y0dxKx/dM5SP7hfKR/cLIjWfEp9lZDabGT16NAMGDKB79+4A+Pr6kpqaClx7\nlMfHxwe49tfsgqMATp8+XaMfIyuJPeM2adIkmjdvzpAhQxzYgspj7z7n5uZGeHg4GzdudFALKoc9\n4vbTTz+xf/9+unXrxuDBgzl69CgxMTGOb4wD2au/NWzYEIB69erRr18/9u7d68hmOJw94tagQQPc\n3d3p0aMHAA899BAHDx50cEscy57/vx06dIjc3FzuvvtuB7agctgjbgcPHsRgMFiTAb179+bnn392\ncEscy179rUuXLnz++eesWLGC5s2bc/vttzu2IQ5WlrjZcn08TSZTjf9ObI+41Ub2jFttumewd3/T\n/cKNx6023i+IVDdKfJbRhAkTaNGiBY899ph1W3h4OKtWrQIgPj6ebt26WbcnJSVx5coVTpw4wfHj\nx61zG+WrLX8Vslfc3n77bTIyMpgwYYLjG1FJ7BG7rKwszp49C1z7Bf/vf/+b5s2bO74xDmSPuP31\nr3/l22+/ZePGjSxbtozmzZtbV3ysqewRt9zcXNLT04Frc0Rt3ryZO++80/GNcSB7/R8XHh5uHV3x\n/fffExQU5OCWOJY9f6euW7eu1oz2tEfcAgICOHLkiPWzum3bNu644w7HN8aB7NXf8h97vHDhAsuW\nLeORRx5xcEscqyxxK6jgd1x/f3+8vLys88uuXr262HNqEnvE7Ua21zT2ilttu2ewR9x0v3BNWeNW\nG+8XRKobg6W2/Ba1g127dhEdHU1wcDAGgwGDwcDzzz9PWFgYY8aM4dSpUwQGBjJ79my8vb0BWLBg\nAStXrsTFxYWXX36Z+++/H4A33niDtWvXcvbsWRo2bEhUVBSjRo2qzObdNPaKm8lk4sEHHyQoKAhX\nV1cMBgODBw+u0XOS2St2586d46mnnuLq1avk5eXRvn17JkyYgJNTzfzbhz0/q/mSk5N5+umnSUxM\nrIwmOYS94padnc3gwYPJzc0lLy+Pjh07EhsbW2Mf6bNnf0tJSWH8+PFcunQJHx8fpk2bVmhevJrE\n3p/THj16sHDhwhp/k2bPuH322WcsWrQIV1dXmjRpwvTp07nlllsqs3k3jT3jNnbsWA4dOoTBYODZ\nZ5+t0fPKlidu4eHhZGZmcvXqVby9vfnwww8JCgpi3759xMbGkpOTQ+fOnZk4cWIlt+7msWfcdM9Q\n9rh5enrWqnsGe8Wtfv36ul8o5+c0X224XxCpjpT4FBERERERERERkRqnZv75RkRERERERERERGo1\nJT5FRERERERERESkxlHiU0RERERERERERGocJT5FRERERERERESkxlHiU0RERERERERERGocJT5F\nRERERERERESkxlHiU0RERERERERERGocJT5FRERERERERESkxlHiU0REROQ648ePJy4uzvo6JiaG\nPXv2MGzYMB5++GEGDx7MwYMHAfjtt9+IiYnhkUceITw8nKVLlwIwd+5cnnjiCfr168fy5csrpR0i\nIiIiIrWZS2VXQERERKSq+fOf/8w777zDI488QkpKCmlpaUyfPp1XXnmFkJAQjEYjzz77LOvXrycu\nLo6RI0fSoUMHTpw4wYABA4iOjgbgypUrrF27tpJbIyIiIiJSOxksFoulsishIiIiUtX06tWLjz/+\nmNWrV2OxWHj33Xe58847yf/qdP78eRISEvDy8uK7777j119/5ddffyUpKYmDBw8yd+5ccnJyGDt2\nbCW3RERERESkdtKITxEREZFiDBw4kLVr17J+/XoWLFjAxx9/THx8vHW/yWTilltu4bnnnqN+/fp0\n7dqVPn36kJSUZD2mTp06lVF1ERERERFBc3yKiIiIFCsyMpIVK1bQpEkTGjduTLNmzVizZg0A27Zt\nsz7O/v333zN69GjCw8PZsWMHAHqgRkRERESk8mnEp4iIiEgxGjVqRKNGjRg4cCAAb7zxBpMnT+aD\nDz7Azc2N2bNnA/Dcc8/x17/+FW9vb5o3b07Tpk05efJkZVZdRERERETQHJ8iIiIixTKZTMTExLB2\n7VpcXV0ruzoiIiIiIlJGetRdRERE5DpfffUVkZGRjBs3TklPEREREZFqSiM+RUREREREREREpMbR\niE8RERERERERERGpcZT4FBERERERERERkRpHiU8RERERERERERGpcZT4FBERERERERERkRpHiU8R\nERERERERERGpcf4XgBnpZwZT4DcAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11bd8d668>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"with sns.axes_style('white'):\n",
|
|
" g = sns.factorplot(\"year\", data=planets, aspect=4.0, kind='count',\n",
|
|
" hue='method', order=range(2001, 2015))\n",
|
|
" g.set_ylabels('Number of Planets Discovered')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"For more information on plotting with Seaborn, see the [Seaborn documentation](http://seaborn.pydata.org/), a [tutorial](http://seaborn.pydata.org/\n",
|
|
"tutorial.htm), and the [Seaborn gallery](http://seaborn.pydata.org/examples/index.html)."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Example: Exploring Marathon Finishing Times\n",
|
|
"\n",
|
|
"Here we'll look at using Seaborn to help visualize and understand finishing results from a marathon.\n",
|
|
"I've scraped the data from sources on the Web, aggregated it and removed any identifying information, and put it on GitHub where it can be downloaded\n",
|
|
"(if you are interested in using Python for web scraping, I would recommend [*Web Scraping with Python*](http://shop.oreilly.com/product/0636920034391.do) by Ryan Mitchell).\n",
|
|
"We will start by downloading the data from\n",
|
|
"the Web, and loading it into Pandas:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# !curl -O https://raw.githubusercontent.com/jakevdp/marathon-data/master/marathon-data.csv"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>age</th>\n",
|
|
" <th>gender</th>\n",
|
|
" <th>split</th>\n",
|
|
" <th>final</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>33</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:05:38</td>\n",
|
|
" <td>02:08:51</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>32</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:26</td>\n",
|
|
" <td>02:09:28</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>31</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:49</td>\n",
|
|
" <td>02:10:42</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>38</td>\n",
|
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" <td>M</td>\n",
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" <td>01:06:16</td>\n",
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" <td>02:13:45</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>4</th>\n",
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" <td>31</td>\n",
|
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" <td>M</td>\n",
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" <td>01:06:32</td>\n",
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" <td>02:13:59</td>\n",
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" </tr>\n",
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" </tbody>\n",
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"</table>\n",
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"</div>"
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],
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"text/plain": [
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" age gender split final\n",
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"0 33 M 01:05:38 02:08:51\n",
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"1 32 M 01:06:26 02:09:28\n",
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"2 31 M 01:06:49 02:10:42\n",
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"3 38 M 01:06:16 02:13:45\n",
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"4 31 M 01:06:32 02:13:59"
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]
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},
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"execution_count": 23,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"data = pd.read_csv('marathon-data.csv')\n",
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"data.head()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"By default, Pandas loaded the time columns as Python strings (type ``object``); we can see this by looking at the ``dtypes`` attribute of the DataFrame:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 24,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"age int64\n",
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"gender object\n",
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"split object\n",
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"final object\n",
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"dtype: object"
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]
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},
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"execution_count": 24,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"data.dtypes"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Let's fix this by providing a converter for the times:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 25,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<div>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>age</th>\n",
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" <th>gender</th>\n",
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" <th>split</th>\n",
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" <th>final</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>0</th>\n",
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" <td>33</td>\n",
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" <td>M</td>\n",
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" <td>01:05:38</td>\n",
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" <td>02:08:51</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>1</th>\n",
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" <td>32</td>\n",
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" <td>M</td>\n",
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" <td>01:06:26</td>\n",
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" <td>02:09:28</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>2</th>\n",
|
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" <td>31</td>\n",
|
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" <td>M</td>\n",
|
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" <td>01:06:49</td>\n",
|
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" <td>02:10:42</td>\n",
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" </tr>\n",
|
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" <tr>\n",
|
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" <th>3</th>\n",
|
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" <td>38</td>\n",
|
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" <td>M</td>\n",
|
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" <td>01:06:16</td>\n",
|
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" <td>02:13:45</td>\n",
|
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" </tr>\n",
|
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" <tr>\n",
|
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" <th>4</th>\n",
|
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" <td>31</td>\n",
|
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" <td>M</td>\n",
|
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" <td>01:06:32</td>\n",
|
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" <td>02:13:59</td>\n",
|
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" </tr>\n",
|
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" </tbody>\n",
|
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"</table>\n",
|
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"</div>"
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],
|
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"text/plain": [
|
|
" age gender split final\n",
|
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"0 33 M 01:05:38 02:08:51\n",
|
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"1 32 M 01:06:26 02:09:28\n",
|
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"2 31 M 01:06:49 02:10:42\n",
|
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"3 38 M 01:06:16 02:13:45\n",
|
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"4 31 M 01:06:32 02:13:59"
|
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]
|
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},
|
|
"execution_count": 25,
|
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"metadata": {},
|
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"output_type": "execute_result"
|
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}
|
|
],
|
|
"source": [
|
|
"def convert_time(s):\n",
|
|
" h, m, s = map(int, s.split(':'))\n",
|
|
" return pd.datetools.timedelta(hours=h, minutes=m, seconds=s)\n",
|
|
"\n",
|
|
"data = pd.read_csv('marathon-data.csv',\n",
|
|
" converters={'split':convert_time, 'final':convert_time})\n",
|
|
"data.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
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"execution_count": 26,
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"metadata": {
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"collapsed": false
|
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},
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"outputs": [
|
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{
|
|
"data": {
|
|
"text/plain": [
|
|
"age int64\n",
|
|
"gender object\n",
|
|
"split timedelta64[ns]\n",
|
|
"final timedelta64[ns]\n",
|
|
"dtype: object"
|
|
]
|
|
},
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"data.dtypes"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"That looks much better. For the purpose of our Seaborn plotting utilities, let's next add columns that give the times in seconds:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>age</th>\n",
|
|
" <th>gender</th>\n",
|
|
" <th>split</th>\n",
|
|
" <th>final</th>\n",
|
|
" <th>split_sec</th>\n",
|
|
" <th>final_sec</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>33</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:05:38</td>\n",
|
|
" <td>02:08:51</td>\n",
|
|
" <td>3938.0</td>\n",
|
|
" <td>7731.0</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>32</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:26</td>\n",
|
|
" <td>02:09:28</td>\n",
|
|
" <td>3986.0</td>\n",
|
|
" <td>7768.0</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>31</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:49</td>\n",
|
|
" <td>02:10:42</td>\n",
|
|
" <td>4009.0</td>\n",
|
|
" <td>7842.0</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>38</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:16</td>\n",
|
|
" <td>02:13:45</td>\n",
|
|
" <td>3976.0</td>\n",
|
|
" <td>8025.0</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>31</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:32</td>\n",
|
|
" <td>02:13:59</td>\n",
|
|
" <td>3992.0</td>\n",
|
|
" <td>8039.0</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" age gender split final split_sec final_sec\n",
|
|
"0 33 M 01:05:38 02:08:51 3938.0 7731.0\n",
|
|
"1 32 M 01:06:26 02:09:28 3986.0 7768.0\n",
|
|
"2 31 M 01:06:49 02:10:42 4009.0 7842.0\n",
|
|
"3 38 M 01:06:16 02:13:45 3976.0 8025.0\n",
|
|
"4 31 M 01:06:32 02:13:59 3992.0 8039.0"
|
|
]
|
|
},
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"data['split_sec'] = data['split'].astype(int) / 1E9\n",
|
|
"data['final_sec'] = data['final'].astype(int) / 1E9\n",
|
|
"data.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"To get an idea of what the data looks like, we can plot a ``jointplot`` over the data:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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GG2/EsGHDMoxa2JvpqRYqhmHgu9/9bhBSveCCC/Cxj30MSqlA6PHFL34Ru3btwtKlS4N5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0XN7XaTnp7O8uXLAWhpaSErK4uEhASee+452traPI8tLi4mPj6epKQkvvzyS097XV0dKSkpJCQk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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11b646ac8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"with sns.axes_style('white'):\n",
|
|
" g = sns.jointplot(\"split_sec\", \"final_sec\", data, kind='hex')\n",
|
|
" g.ax_joint.plot(np.linspace(4000, 16000),\n",
|
|
" np.linspace(8000, 32000), ':k')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The dotted line shows where someone's time would lie if they ran the marathon at a perfectly steady pace. The fact that the distribution lies above this indicates (as you might expect) that most people slow down over the course of the marathon.\n",
|
|
"If you have run competitively, you'll know that those who do the opposite—run faster during the second half of the race—are said to have \"negative-split\" the race.\n",
|
|
"\n",
|
|
"Let's create another column in the data, the split fraction, which measures the degree to which each runner negative-splits or positive-splits the race:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>age</th>\n",
|
|
" <th>gender</th>\n",
|
|
" <th>split</th>\n",
|
|
" <th>final</th>\n",
|
|
" <th>split_sec</th>\n",
|
|
" <th>final_sec</th>\n",
|
|
" <th>split_frac</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>33</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:05:38</td>\n",
|
|
" <td>02:08:51</td>\n",
|
|
" <td>3938.0</td>\n",
|
|
" <td>7731.0</td>\n",
|
|
" <td>-0.018756</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>32</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:26</td>\n",
|
|
" <td>02:09:28</td>\n",
|
|
" <td>3986.0</td>\n",
|
|
" <td>7768.0</td>\n",
|
|
" <td>-0.026262</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>31</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:49</td>\n",
|
|
" <td>02:10:42</td>\n",
|
|
" <td>4009.0</td>\n",
|
|
" <td>7842.0</td>\n",
|
|
" <td>-0.022443</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>38</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:16</td>\n",
|
|
" <td>02:13:45</td>\n",
|
|
" <td>3976.0</td>\n",
|
|
" <td>8025.0</td>\n",
|
|
" <td>0.009097</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>31</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:32</td>\n",
|
|
" <td>02:13:59</td>\n",
|
|
" <td>3992.0</td>\n",
|
|
" <td>8039.0</td>\n",
|
|
" <td>0.006842</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" age gender split final split_sec final_sec split_frac\n",
|
|
"0 33 M 01:05:38 02:08:51 3938.0 7731.0 -0.018756\n",
|
|
"1 32 M 01:06:26 02:09:28 3986.0 7768.0 -0.026262\n",
|
|
"2 31 M 01:06:49 02:10:42 4009.0 7842.0 -0.022443\n",
|
|
"3 38 M 01:06:16 02:13:45 3976.0 8025.0 0.009097\n",
|
|
"4 31 M 01:06:32 02:13:59 3992.0 8039.0 0.006842"
|
|
]
|
|
},
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"data['split_frac'] = 1 - 2 * data['split_sec'] / data['final_sec']\n",
|
|
"data.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Where this split difference is less than zero, the person negative-split the race by that fraction.\n",
|
|
"Let's do a distribution plot of this split fraction:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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i1atXa/HixVq0aJEkKSMjI9L/0EMPadWqVZL69sDPnz8f6WttbZXf7+/XblmW/H5/1Pee\nOjVVLlfS0LZmHPP5Bn6gBWLr3Lnfx7uEG5Kc3Ks0d1DutMkD9neFk+V03iTPBO2XpDT3JHm9Hk2Z\nwmck3viemviGFOobNmxQdna2HnvssUhbIBCQz+eTJB06dEhz5syRJOXn52vdunV6/PHHZVmWzp07\np9zcXDkcDnk8HjU3N2vevHmqra1VZWVl1Pe+eLFzONs1rvh8HgUCoXiXgf82kcajvT2kjnC3enV5\nwP5wuEdO51VNSpmY/Z7/fkpbW1tIPT3cYRtPE+lzYbqR/LiKGupNTU06cOCA5syZo/LycjkcDq1d\nu1b/9m//ptOnT8vpdCozM1MvvPCCJCk7O1vFxcUqLS2Vy+XS5s2b5XA4JEmbNm3S+vXr1d3drby8\nPOXl5Q27cAAAcK2ooT5//nydPn26X/v1AnnlypVauXJlv/acnBwdOHDgBksEAABDwfEuAAAMQagD\nAGAIQh0JhbnfAZiMUAcAwBCEOgAAhiDUAQAwBKEOAIAhCHUAAAxBqCOhNDWdVEtLS7zLAIAxQagD\nAGAIQh0AAEMQ6gAAGIJQBwDAEIQ6AACGINSRUJj7HYDJCHUAAAzhincBQCKzbVuhUPug/aFQu2TH\nsCAAExqhDsRRKNSuQyfOKiXVPWB/sM1SqjtdqWmeGFcGYCIi1IE4S0l1K9U9cGh3hjtiXA2AiYxz\n6gAAGIJQR0Jh7ncAJiPUAQAwBKEOAIAhCHUAAAxBqAMAYAhCHQAAQxDqSCjM/Q7AZIQ6AACGINQB\nADAEoQ4AgCGihnpra6seffRRlZaWqqysTLt27ZIkXbp0ScuWLVNRUZGeeOIJhUKhyDrV1dUqLCxU\ncXGxjh8/Hmk/deqUysrKVFRUpKqqqjHYHAAAElfUUE9KStL69ev11ltv6Y033tA///M/64MPPtCO\nHTu0cOFC1dfXa8GCBaqurpYknT17VgcPHlRdXZ127typrVu3yrb7nh25ZcsWVVVVqb6+Xi0tLTp2\n7NjYbh0AAAkkaqj7fD7NnTtXkuR2uzV79mxZlqXGxkZVVFRIkioqKtTQ0CBJOnz4sEpKSuRyuTRr\n1ixlZWWpublZgUBA4XBYubm5kqTy8vLIOkCsMPc7AJPd0Dn1jz76SGfOnNGtt96qCxcuyOv1SuoL\n/mAwKEmyLEszZ86MrOP3+2VZlizL0owZM/q1AwCA0THk56mHw2GtXr1aGzZskNvtlsPhuKb/j/8e\nLVOnpsrlShqT144ln2/g52UjPsbLeCQn9yrNHZQ7bfKA/V3hZDmdN8ljaL8kpbknyev1aMqU8TEm\niWy8fC4wfEMK9StXrmj16tVavHixFi1aJEmaNm2a2tra5PV6FQgElJGRIalvD/z8+fORdVtbW+X3\n+/u1W5Ylv98f9b0vXuy8oQ0aj3w+jwKBUPQFERPjaTza20PqCHerV5cH7A+He+R0XtWkFDP7PWmT\n1RHuVltbSD093IwTT+Ppc5HoRvLjakifog0bNig7O1uPPfZYpC0/P1/79++XJNXU1KigoCDSXldX\np56eHn344Yc6d+6ccnNz5fP55PF41NzcLNu2VVtbG1kHAACMXNQ99aamJh04cEBz5sxReXm5HA6H\n1q5dq+XLl2vNmjXat2+fMjMztW3bNklSdna2iouLVVpaKpfLpc2bN0cOzW/atEnr169Xd3e38vLy\nlJeXN7ZbBwBAAoka6vPnz9fp06cH7HvttdcGbF+5cqVWrlzZrz0nJ0cHDhy4sQqBUTR/fo6cTofe\nfff9eJcCAKOOk1gAABiCUAcAwBBDvqUNwI2zbVuhUPug/aFQu2THsCAARiPUgTEUCrXr0ImzSkl1\nD9gfbLOU6k5Xahr3BwMYOUIdGGMpqW6lugcO7c5wR4yrAWAyzqkjoTD3OwCTEeoAABiCUAcAwBCE\nOgAAhuBCOWAEuGUNwHhCqAMjwC1rAMYTQh0J5Ubnfh/KnnhKCresARgfCHXgOtgTBzCREOpAFEwe\nA2Ci4Op3AAAMwZ46gLiKdt2CJHk86XI4HDGqCJi4CHUAcdXVGdaR94K6OWPaoP33LchWevqUGFcG\nTDyEOhJKU9NJ+XweBQKheJeCz5mckjrodQsAho5z6gAAGIJQBwDAEIQ6AACGINQBADAEoQ4AgCEI\ndSSU+fNzdMstt8S7DAAYE4Q6AACGINQBADAEoQ4AgCEIdQAADEGoAwBgiKihvmHDBt1xxx0qKyuL\ntG3fvl15eXmqqKhQRUWFjh49Gumrrq5WYWGhiouLdfz48Uj7qVOnVFZWpqKiIlVVVY3yZgBD09R0\nUi0tLfEuAwDGRNRQf+CBB/TjH/+4X/vSpUtVU1Ojmpoa5eXlSZI++OADHTx4UHV1ddq5c6e2bt0q\n27YlSVu2bFFVVZXq6+vV0tKiY8eOjfKmAACQ2KKG+u2336709PR+7Z+F9ec1NjaqpKRELpdLs2bN\nUlZWlpqbmxUIBBQOh5WbmytJKi8vV0NDwyiUDwAAPjPsc+q7d+/W4sWLtXHjRoVCfY+xtCxLM2fO\njCzj9/tlWZYsy9KMGTP6tQMAgNEzrFB/5JFH1NjYqDfffFNer1cvvfTSaNcFAABukGs4K2VkZET+\n/0MPPaRVq1ZJ6tsDP3/+fKSvtbVVfr+/X7tlWfL7/UN6r6lTU+VyJQ2nzHHF5/PEuwR8zlDHIzm5\nV2nuoNxpkwfs7wony+m8SR76h9UvSW739Zdxqkder0dTpvAZGmt8T018Qwr1Pz5/HggE5PP5JEmH\nDh3SnDlzJEn5+flat26dHn/8cVmWpXPnzik3N1cOh0Mej0fNzc2aN2+eamtrVVlZOaQCL17svJHt\nGZd8Po8CgVC8y4D65n53Oh169933h7R8e3tIHeFu9erygP3hcI+czqualEL/cPo9aZOjLtMZ7lZb\nW0g9PdyBO5b4nho/RvLjKmqoP/PMMzpx4oQ+/fRTfe1rX9PTTz+tEydO6PTp03I6ncrMzNQLL7wg\nScrOzlZxcbFKS0vlcrm0efNmORwOSdKmTZu0fv16dXd3Ky8vL3LFPAAAGB1RQ/2HP/xhv7YlS5YM\nuvzKlSu1cuXKfu05OTk6cODADZYHAACGiuNZAAAYglAHAMAQhDoAAIYg1JFQmPsdgMkIdQAADEGo\nAwBgCEIdAABDEOoAABiCUAcAwBCEOhLK/Pk5uuWWW+JdBgCMCUIdAABDEOoAABiCUAcAwBCEOgAA\nhoj66FXAVLZtKxRqv+4yoVC7ZMeoIAAYIUIdCaWp6aR8Po8CgZBCoXYdOnFWKanuQZcPtllKdacr\nNc0TwyoBYHgIdSS0lFS3Ut2DB3ZnuCOG1QDAyHBOHQAAQxDqAAAYglAHAMAQhDoAAIYg1JFQmPsd\ngMkIdQAADEGoAwBgCEIdAABDEOoAABiCUAcAwBCEOhJKU9NJtbS0xLsMABgThDoAAIaIGuobNmzQ\nHXfcobKyskjbpUuXtGzZMhUVFemJJ55QKBSK9FVXV6uwsFDFxcU6fvx4pP3UqVMqKytTUVGRqqqq\nRnkzAABA1FB/4IEH9OMf//iath07dmjhwoWqr6/XggULVF1dLUk6e/asDh48qLq6Ou3cuVNbt26V\nbfc9jHrLli2qqqpSfX29WlpadOzYsTHYHACm+ey59+3tlwb932ffM0Cii/ro1dtvv10ff/zxNW2N\njY3avXu3JKmiokKVlZVat26dDh8+rJKSErlcLs2aNUtZWVlqbm7WF77wBYXDYeXm5kqSysvL1dDQ\noLvvvnsMNgmASbo6wzryXlA3Z0wbtP++BdlKT58S48qA8WdYz1MPBoPyer2SJJ/Pp2AwKEmyLEu3\n3XZbZDm/3y/LspSUlKQZM2b0aweAoZicknrd594D6DMqF8o5HI7ReBlgzDH3OwCTDWtPfdq0aWpr\na5PX61UgEFBGRoakvj3w8+fPR5ZrbW2V3+/v125Zlvx+/5Dea+rUVLlcScMpc1zx+djLGA+czr4f\noD6fR8nJvUpzB+VOmzzo8l3hZDmdN8kzyDL0j6xfktzukb2GUz3yej2aMoXP2EjxPTXxDSnU//gi\nlPz8fO3fv18rVqxQTU2NCgoKIu3r1q3T448/LsuydO7cOeXm5srhcMjj8ai5uVnz5s1TbW2tKisr\nh1TgxYudN7hJ44/P51EgEIq+IMZcb68tp9OhQCCk9vaQOsLd6tXlQZcPh3vkdF7VpJSBl6F/ZP2e\ntMkjfo3OcLfa2kLq6eEO3ZHge2r8GMmPq6ih/swzz+jEiRP69NNP9bWvfU1PP/20VqxYoW9/+9va\nt2+fMjMztW3bNklSdna2iouLVVpaKpfLpc2bN0cOzW/atEnr169Xd3e38vLylJeXN+yiAQBAf1FD\n/Yc//OGA7a+99tqA7StXrtTKlSv7tefk5OjAgQM3Vh0AABgyjlcBAGAIQh0JhbnfAZiMUAcAwBCE\nOgAAhiDUAQAwBKEOAIAhCHUAAAxBqCOhMPc7AJMR6gAAGIJQBwDAEIQ6AACGINQBADAEoQ4AgCEI\ndSQU5n4HYDJCHQAAQxDqAAAYglAHAMAQhDoAAIYg1AEAMAShjoTC3O8ATEaoAwBgCEIdAABDEOoA\nABiCUAcAwBCEOgAAhiDUkVCY+x2AyVzxLgAARsK2bYVC7dddxuNJl8PhiFFFQPwQ6gAmtK7OsI68\nF9TNGdMG7b9vQbbS06fEuDIg9gh1ABPe5JRUpbo98S4DiDvOqQMAYIgR7ann5+crLS1NTqdTLpdL\ne/fu1aVLl7R27Vp9/PHHmjVrlrZt2yaPp+8XdHV1tfbt26ekpCRt3LhRd91116hsBAAAGOGeusPh\n0Ouvv67a2lrt3btXkrRjxw4tXLhQ9fX1WrBggaqrqyVJZ8+e1cGDB1VXV6edO3dq69atsm175FsA\n3ADmfgdgshGFum3b6u3tvaatsbFRFRUVkqSKigo1NDRIkg4fPqySkhK5XC7NmjVLWVlZam5uHsnb\nAwCAzxnxnvqyZcu0ZMkS7dmzR5J04cIFeb1eSZLP51MwGJQkWZalmTNnRtb1+/2yLGskbw8AAD5n\nROfUf/azn2n69OkKBoNatmyZvvjFL/a7F3Sk94ZOnZoqlytpRK8xHvh8XJk7Hjidff89+nweJSf3\nKs0dlDtt8qDLd4WT5XTeJM8gy9A/sn5JcrvH9j2c6pHX69GUKXwGo+F7auIbUahPnz5dkpSRkaFF\nixapublZ06ZNU1tbm7xerwKBgDIyMiT17ZmfP38+sm5ra6v8fn/U97h4sXMkJY4LPp9HgUAo3mVA\nUm+vLafToUAgpPb2kDrC3erV5UGXD4d75HRe1aSUgZehf2T9nrTJY/4eneFutbWF1NPDzT7Xw/fU\n+DGSH1fD/q+8q6tL4XBYktTZ2anjx49rzpw5ys/P1/79+yVJNTU1KigokNR3pXxdXZ16enr04Ycf\n6ty5c8rNzR124QAA4FrD3lNva2vTt771LTkcDl29elVlZWW66667lJOTozVr1mjfvn3KzMzUtm3b\nJEnZ2dkqLi5WaWmpXC6XNm/ezLSNiLmmppPskQAw1rBD/U/+5E/05ptv9mu/+eab9dprrw24zsqV\nK7Vy5crhviUAALgOpomFsQZ70Edycq/a20N9fUyVAMAghDqMFQq169CJs0pJdV/TnuYOqiPcrWCb\npVR3ulLTuOIXgBkIdRgtJdXd70Ef7rTJ6tVldYY74lQVAIwN7vEAAMAQhDoSylOVBXrsAR4kBMBM\nhDoAAIYg1AEAMAQXygEw2mC3Nn6ex5POZFgwAqEOwGhdnWEdeS+omzOmDdp/34JspadPiXFlwOgj\n1AEYb3JKar9bGwETEepIKP/j9UZ50iYr1DH4k9kAYKLiQjkAAAxBqAMAYAhCHQAAQxDqAAAYglAH\nAMAQhDoSCnO/AzAZoQ4AgCEIdQAADEGoAwBgCGaUA5DQeOALTEKoA0hoPPAFJiHUkVCY+x0D4YEv\nMAXn1AEAMAShDgCAIQh1AAAMwTl1TFjRrloOhdolO4YFAUCcEeqYsEKhdh06cVYpqe4B+4NtllLd\n6UpN4wIoDB+3vGEiIdQxoaWkuge9arkz3NGv7anKAjkcDm3f1TDWpcEQ3PKGiSTmoX706FG9+OKL\nsm1bS5YiB6EwAAAJlUlEQVQs0YoVK2JdAgDcEG55w0QR01Dv7e3V97//fb322muaPn26vvnNb6qg\noECzZ8+OZRkAMGo4PI/xJKah3tzcrKysLGVmZkqSSktL1djYSKhjQFwIh4kg2uH5znCHFn7FL48n\nfcB+2+77j/h6oc+PAgxVTEPdsizNnDkz8rff79f7778fyxIQQ9FCOdqXWSjUrl+e+kQpbi6Ew/h2\nvcPzneEOHXnv3KChH2yz5HS6hv2jQOKHAf4/LpQbRE9Pj06888vrLjP3y3+m5OSbor5WcnKv2ttD\no1XahBEKtet/Nf1fTZ6cMmD/xWCbnM4kTbl56qD9bnf6oKEuSZe7OtUZHvjf9nJXWE6n65r+3l5b\nTqfUGQ4N2D+U16B/9Pqd6ol7DbHqH67LXWH9z/99etDPiRT9s3T5cpfunf/F6/4wSNTvqViKxcWU\nMQ11v9+vP/zhD5G/LcvS9OnTr7uOzxe/vbAHKkpH7bWmTEnMK2Nvu+3P4l3CNR4r/0P0hRBjufEu\nAP8tUb+nTBLTGeXmzZunc+fO6eOPP1ZPT4/eeustFRQUxLIEAACMFdM99aSkJD3//PNatmyZbNvW\nN7/5TS6SAwBglDjsz66wAAAAExoPdAEAwBCEOgAAhiDUAQAwBKE+Bi5duqRly5apqKhITzzxhEKh\n/vd+tra26tFHH1VpaanKysq0a9euOFRqrqNHj+rrX/+6ioqKtGPHjgGX+cEPfqDCwkItXrxYp0+f\njnGFiSPaWBw4cED333+/7r//fj388MP6j//4jzhUmTiG8tmQ+mYA/cpXvqK33347htUllqGMxYkT\nJ1ReXq5vfOMbqqysjP6iNkbdyy+/bO/YscO2bduurq62X3nllX7LfPLJJ/Zvf/tb27Ztu6Ojwy4s\nLLTPnj0b0zpNdfXqVXvRokX2Rx99ZPf09Nj3339/v3/bn//85/by5ctt27bt3/zmN/aDDz4Yj1KN\nN5Sx+PWvf223t7fbtm3bR44cYSzG0FDG47PlHn30UXvFihV2fX19HCo131DGor293S4pKbFbW1tt\n27btCxcuRH1d9tTHQGNjoyoqKiRJFRUVamjo/5hPn8+nuXPnSpLcbrdmz56tTz75JKZ1murzzxi4\n6aabIs8Y+LzGxkaVl5dLkm699VaFQiG1tbXFo1yjDWUsbrvtNnk8nsj/tywrHqUmhKGMhyS9/vrr\nKioqUkZGRhyqTAxDGYsDBw6osLBQfr9fkoY0HoT6GAgGg/J6vZL6wjsYDF53+Y8++khnzpxRbi4z\na42GgZ4x8Mc/mD755BPNmDHjmmUIk9E3lLH4vD179igvLy8WpSWkoYyHZVlqaGjQI488EuvyEspQ\nxqKlpUWXLl1SZWWllixZotra2qivy9zvw7R06dIB9+zWrFnTr+16D1EIh8NavXq1NmzYIPd15jgH\nTPfLX/5S+/fv17/8y7/Eu5SE9uKLL+rZZ5+N/G0zlUncXL16Vb/97W/105/+VJ2dnfrrv/5r/fmf\n/7mysrIGXYdQH6Z/+qd/GrRv2rRpamtrk9frVSAQGPSQyZUrV7R69WotXrxYixYtGqtSE85QnjEw\nffp0tba2Rv5ubW2NHOLC6Bnq8x7OnDmjTZs26R//8R+Zf3wMDWU8Tp48qbVr18q2bV28eFFHjx6V\ny+ViSu9RNpSx8Pv9mjp1qiZNmqRJkybp9ttv15kzZ64b6hx+HwP5+fnav3+/JKmmpmbQD8OGDRuU\nnZ2txx57LJblGW8ozxgoKCiIHMr6zW9+o/T09MgpE4yeoYzFH/7wB61evVovv/yy/vRP/zROlSaG\noYxHY2OjGhsbdfjwYX3961/X5s2bCfQxMNTvqaamJl29elVdXV1qbm6OOrU6e+pjYPny5VqzZo32\n7dunzMxMbdu2TVLfedznn39e1dXVampq0oEDBzRnzhyVl5fL4XBo7dq1nE8cBYM9Y+CNN96Qw+HQ\nX/3VX+mee+7RkSNHdN999yklJUV/93d/F++yjTSUsfjRj36kS5cuaevWrbJtWy6XS3v37o136UYa\nynggNoYyFrNnz9Zdd92l+++/X06nUw899JCys7Ov+7rM/Q4AgCE4/A4AgCEIdQAADEGoAwBgCEId\nAABDEOoAABiCUAcAwBCEOpBAKisr9e677+rkyZN6/vnnJUn/+q//qrq6uuuu19HRoSVLlqiiokK/\n//3vY1EqgGFg8hkgAeXk5CgnJ0eS9Otf/1oLFiy47vKnT59WcnKyfvazn8WiPADDRKgDE5xlWVq3\nbp26urrkdDq1ceNGrV27VgUFBfrVr34lh8OhF198UV/+8pcj67zzzjv6h3/4Bz355JM6fPiwTpw4\nIZ/PpzvvvLPf6weDQW3cuFFtbW168skndd9996mmpkaffvqp7r33Xn3jG9/Q97//fXV1denChQta\nunSpKisrdenSJW3cuFG/+93vNGnSJH33u9/VX/7lX8bynwZIOBx+Bya4PXv26N5779XevXv17LPP\nqqmpSQ6HQzfffLNqamr09NNP67nnnuu3nsPh0MKFC5Wfn6/Vq1cPGOhS3zOcf/CDHygnJ0c/+tGP\nJPX9kHjzzTe1du1a7d27V08++aT27Nmjn/70p3r11VclSdu2bVNWVpbq6ur093//95HpkgGMHUId\nmODuuOMO/eQnP9Ezzzwjy7L0N3/zN7JtOzKP97333ivLsvTpp5+O2nt+5StfiTxS+Lvf/a66u7u1\nY8cObdu2TV1dXZKkX/3qV1q8eLEkac6cOXrjjTdG7f0BDIxQBya4v/iLv9Bbb72lu+++W3V1dVq1\napUcDoeSkpIiy9i2fc3fIzVp0qTI///2t7+thoYGZWdna+3atZF2l+vas3u/+93vRu39AQyMUAcm\nuFdeeUW1tbUqLy/X888/r1OnTklS5Ir2Q4cO6Utf+pI8Hs+A6yclJem//uu/hv3+//7v/67Vq1cr\nPz9f77zzjqS+HxG333673nrrLUnSBx98oOXLlw/7PQAMDRfKARNcZWWlnnnmGdXU1CgpKUlbt27V\nyy+/rPfee0979uxRamqqXn75ZUmKHDL/vDvuuEOvvvqqpkyZosLCwht+/29961t6+OGHlZ6eri9+\n8YvKzMzURx99pNWrV+tv//ZvtXjxYrlcLr3yyisj3lYA18ejVwED5efna/fu3frCF74Q71IAxBB7\n6oCBBtojj+a1115TbW3tNevati2/36/q6urRLA/AGGFPHQAAQ3ChHAAAhiDUAQAwBKEOAIAhCHUA\nAAxBqAMAYAhCHQAAQ/w/HaCoKnHAZlAAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11bb754a8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.distplot(data['split_frac'], kde=False);\n",
|
|
"plt.axvline(0, color=\"k\", linestyle=\"--\");"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"251"
|
|
]
|
|
},
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"sum(data.split_frac < 0)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Out of nearly 40,000 participants, there were only 250 people who negative-split their marathon.\n",
|
|
"\n",
|
|
"Let's see whether there is any correlation between this split fraction and other variables. We'll do this using a ``pairgrid``, which draws plots of all these correlations:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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r1y6+/OUv8+yzz/LMM8/geR4/+7M/y7Fjx7jnnnt47rnnuPvuuzl69OhaT9Uw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UUul6OtLUoPuH37dl5//fXyMXfccQcAW7ZsYffu3dPZndkn8LBP7cX71X9dWAMQeNgf/ILUvpdI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\noIBDhw5RXV2NVqvF0dGxT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"text/plain": [
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"<matplotlib.figure.Figure at 0x11aeb5908>"
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]
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},
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"metadata": {},
|
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"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"g = sns.PairGrid(data, vars=['age', 'split_sec', 'final_sec', 'split_frac'],\n",
|
|
" hue='gender', palette='RdBu_r')\n",
|
|
"g.map(plt.scatter, alpha=0.8)\n",
|
|
"g.add_legend();"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"It looks like the split fraction does not correlate particularly with age, but does correlate with the final time: faster runners tend to have closer to even splits on their marathon time.\n",
|
|
"(We see here that Seaborn is no panacea for Matplotlib's ills when it comes to plot styles: in particular, the x-axis labels overlap. Because the output is a simple Matplotlib plot, however, the methods in [Customizing Ticks](04.10-Customizing-Ticks.ipynb) can be used to adjust such things if desired.)\n",
|
|
"\n",
|
|
"The difference between men and women here is interesting. Let's look at the histogram of split fractions for these two groups:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 33,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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9991X8oXb2sa2ZaKWeGEMgDfG4YUxANUbx/5YEgDQFIyguXls94gBIKD5kcgmD6vbC58P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\n/wdn9tHNYmsjqgAAAABJRU5ErkJggg==\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11bdb3a58>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.kdeplot(data.split_frac[data.gender=='M'], label='men', shade=True)\n",
|
|
"sns.kdeplot(data.split_frac[data.gender=='W'], label='women', shade=True)\n",
|
|
"plt.xlabel('split_frac');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The interesting thing here is that there are many more men than women who are running close to an even split!\n",
|
|
"This almost looks like some kind of bimodal distribution among the men and women. Let's see if we can suss-out what's going on by looking at the distributions as a function of age.\n",
|
|
"\n",
|
|
"A nice way to compare distributions is to use a *violin plot*"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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MTAoLCykrK+OOO+6gqkoLLshH6+zs4I03XuO5535NQ0MdiRk5LLztTlx5RePa3R4eE8vs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\niMUp7EVERP7/DXMAAPmmNk33GAG5AAAAAElFTkSuQmCC\n",
|
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"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11d2aeeb8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.violinplot(\"gender\", \"split_frac\", data=data,\n",
|
|
" palette=[\"lightblue\", \"lightpink\"]);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"This is yet another way to compare the distributions between men and women.\n",
|
|
"\n",
|
|
"Let's look a little deeper, and compare these violin plots as a function of age. We'll start by creating a new column in the array that specifies the decade of age that each person is in:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>age</th>\n",
|
|
" <th>gender</th>\n",
|
|
" <th>split</th>\n",
|
|
" <th>final</th>\n",
|
|
" <th>split_sec</th>\n",
|
|
" <th>final_sec</th>\n",
|
|
" <th>split_frac</th>\n",
|
|
" <th>age_dec</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>33</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:05:38</td>\n",
|
|
" <td>02:08:51</td>\n",
|
|
" <td>3938.0</td>\n",
|
|
" <td>7731.0</td>\n",
|
|
" <td>-0.018756</td>\n",
|
|
" <td>30</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>32</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:26</td>\n",
|
|
" <td>02:09:28</td>\n",
|
|
" <td>3986.0</td>\n",
|
|
" <td>7768.0</td>\n",
|
|
" <td>-0.026262</td>\n",
|
|
" <td>30</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>31</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:49</td>\n",
|
|
" <td>02:10:42</td>\n",
|
|
" <td>4009.0</td>\n",
|
|
" <td>7842.0</td>\n",
|
|
" <td>-0.022443</td>\n",
|
|
" <td>30</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>38</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:16</td>\n",
|
|
" <td>02:13:45</td>\n",
|
|
" <td>3976.0</td>\n",
|
|
" <td>8025.0</td>\n",
|
|
" <td>0.009097</td>\n",
|
|
" <td>30</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>31</td>\n",
|
|
" <td>M</td>\n",
|
|
" <td>01:06:32</td>\n",
|
|
" <td>02:13:59</td>\n",
|
|
" <td>3992.0</td>\n",
|
|
" <td>8039.0</td>\n",
|
|
" <td>0.006842</td>\n",
|
|
" <td>30</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" age gender split final split_sec final_sec split_frac age_dec\n",
|
|
"0 33 M 01:05:38 02:08:51 3938.0 7731.0 -0.018756 30\n",
|
|
"1 32 M 01:06:26 02:09:28 3986.0 7768.0 -0.026262 30\n",
|
|
"2 31 M 01:06:49 02:10:42 4009.0 7842.0 -0.022443 30\n",
|
|
"3 38 M 01:06:16 02:13:45 3976.0 8025.0 0.009097 30\n",
|
|
"4 31 M 01:06:32 02:13:59 3992.0 8039.0 0.006842 30"
|
|
]
|
|
},
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"data['age_dec'] = data.age.map(lambda age: 10 * (age // 10))\n",
|
|
"data.head()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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zz/36eiiwOioOg4MDi6J3X1ZWgvv378HLPxAxmbNfV2YjFonwteVrEOXnj6qq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\nhBBCCOMo2BNCCCGMo2BPCCGEMO7/A2wATbzbo2s4AAAAAElFTkSuQmCC\n",
|
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"text/plain": [
|
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"<matplotlib.figure.Figure at 0x11bd81c18>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"men = (data.gender == 'M')\n",
|
|
"women = (data.gender == 'W')\n",
|
|
"\n",
|
|
"with sns.axes_style(style=None):\n",
|
|
" sns.violinplot(\"age_dec\", \"split_frac\", hue=\"gender\", data=data,\n",
|
|
" split=True, inner=\"quartile\",\n",
|
|
" palette=[\"lightblue\", \"lightpink\"]);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Looking at this, we can see where the distributions of men and women differ: the split distributions of men in their 20s to 50s show a pronounced over-density toward lower splits when compared to women of the same age (or of any age, for that matter).\n",
|
|
"\n",
|
|
"Also surprisingly, the 80-year-old women seem to outperform *everyone* in terms of their split time. This is probably due to the fact that we're estimating the distribution from small numbers, as there are only a handful of runners in that range:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 38,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"7"
|
|
]
|
|
},
|
|
"execution_count": 38,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"(data.age > 80).sum()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Back to the men with negative splits: who are these runners? Does this split fraction correlate with finishing quickly? We can plot this very easily. We'll use ``regplot``, which will automatically fit a linear regression to the data:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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5xMfKpiraGn14XCpVHg/ORfyBQQLiCjM6KzB6Ymh1OvlmU1vZKt/pGl2zuzsV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ULs7PNj/9FO7D/aiR538qU+AcBabcS0eWX4j7IwujWFstnnyMIApmk0cKsqVADTdXp8z1SCQwEf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\nAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11e0dfba8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"g = sns.lmplot('final_sec', 'split_frac', col='gender', data=data,\n",
|
|
" markers=\".\", scatter_kws=dict(color='c'))\n",
|
|
"g.map(plt.axhline, y=0.1, color=\"k\", ls=\":\");"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Apparently the people with fast splits are the elite runners who are finishing within ~15,000 seconds, or about 4 hours. People slower than that are much less likely to have a fast second split."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<!--NAVIGATION-->\n",
|
|
"< [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) | [Contents](Index.ipynb) | [Further Resources](04.15-Further-Resources.ipynb) >"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"anaconda-cloud": {},
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.4.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 0
|
|
}
|