{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualization\n", "\n", "See also the slides that summarize a portion of this content.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In preparation for today, you learned many [data visualization tools from DataCamp](big-cheat-sheet.html#before-week-5). In fact, if you're doing this reading before you do the DataCamp homework, I strongly suggest that you stop here, do the DataCamp first, and then come back here.\n", "\n", "Rather than review those tools here, I will categorize them instead. This page is therefore a reference in which you can look up the kind of data you *have* and see which visualizations make the most sense for it, and what each visualization accomplishes.\n", "\n", "We will use two datasets throughout the examples below. The first is a set of sales data for the employees of an imaginary company (Dunder Mifflin, perhaps?). The data has the following format, organized by employee ID numbers, and including year, quarter, sales quantity, and bonus earned for each ID in each relevant time frame." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
emp_idyearquartersalesbonus
01275342201028.0000000
1127534220103333.0000000
2127534220104594.0000002000
3127534220111276.0661770
4127534220112340.0000000
\n", "
" ], "text/plain": [ " emp_id year quarter sales bonus\n", "0 1275342 2010 2 8.000000 0\n", "1 1275342 2010 3 333.000000 0\n", "2 1275342 2010 4 594.000000 2000\n", "3 1275342 2011 1 276.066177 0\n", "4 1275342 2011 2 340.000000 0" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "sales_df = pd.read_csv( './_static/fictitious-sales-data.csv' )\n", "sales_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second dataset is the basic NASDAQ data for Renewable Energy Group, Inc. (symbol REGI) for the first half of 2020." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
DateOpenHighLowCloseAdj CloseVolume
02-Jan-2027.2127.9526.6227.8927.89781100
13-Jan-2028.1628.9527.7328.8228.821405100
26-Jan-2028.5328.8128.0028.3928.39716800
37-Jan-2028.1728.2826.0826.4426.441378900
48-Jan-2026.3726.4024.8625.1925.191195900
\n", "
" ], "text/plain": [ " Date Open High Low Close Adj Close Volume\n", "0 2-Jan-20 27.21 27.95 26.62 27.89 27.89 781100\n", "1 3-Jan-20 28.16 28.95 27.73 28.82 28.82 1405100\n", "2 6-Jan-20 28.53 28.81 28.00 28.39 28.39 716800\n", "3 7-Jan-20 28.17 28.28 26.08 26.44 26.44 1378900\n", "4 8-Jan-20 26.37 26.40 24.86 25.19 25.19 1195900" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "regi_df = pd.read_csv( './_static/regi-prices-2020.csv' )\n", "regi_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What if I have two columns of numeric data?\n", "\n", "This situation is *extremely common,* and that's why we address it first. If we consider the two datasets described above, we can find many ways to create two columns of numeric data, including the following examples.\n", "\n", " 1. The year and sales columns from `sales_df`\n", " 2. The year and sales columns we would get by grouping `sales_df` by year\n", " 3. The Volume and High columns from `regi_df`\n", " 4. The index and the Close column from `regi_df`\n", "\n", "```{admonition} Big Picture - Visualizing relations vs. functions\n", "---\n", "class: alert alert-primary\n", "---\n", "Recall from [Chapter 2](chapter-2-mathematical-foundations) that two columns of data always form a binary relation, but may or may not be a function. Noticing whether the data are a function is very important when deciding how to visualize them.\n", " * A **function** can be shown with a **line plot**, as in algebra classes.\n", " * A **relation** that is not a function must be shown as a **scatterplot.**\n", "```\n", "\n", "Both scatterplots and line plots are drawn with `plt.plot()` in Matplotlib. There are many ways to specify the plot type, as you've seen in DataCamp. Let's look at the same four examples mentioned above.\n", "\n", "**Example 1:** The year and sales columns from `sales_df` do not form a function, because each year has multiple sales figures. We can see this if we visualize them with a scatterplot." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.plot( sales_df['year'], sales_df['sales'], 'bo' ) # blue circles\n", "plt.title( 'This is a relation,\\nso we use a scatterplot.', fontdict={ \"fontsize\": 25 } )\n", "plt.xlabel( 'Year' )\n", "plt.ylabel( 'Sales' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same example would have gone quite wrong if we had attempted to use a line plot instead, as you can see below. Matplotlib tries to connect the dots in sequence to show a line, but it doesn't make any sense, because the data is not a function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot( sales_df['year'], sales_df['sales'], '-o' ) # dots and lines\n", "plt.title( 'Whoops! This is a relation, so we\\nshould have used a scatterplot!',\n", " fontdict={ \"fontsize\": 25 } )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It would have been even more hideous if the data hadn't been sorted by year. Let's see what it would have been like if it had been sorted by employee instead, for instance." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "temp_df = sales_df.sort_values( 'emp_id' )\n", "plt.plot( temp_df['year'], temp_df['sales'], '-o' ) # dots and lines\n", "plt.title( 'Whoops! This is a relation, so we\\nshould have used a scatterplot!',\n", " fontdict={ \"fontsize\": 25 } )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bad graphs just shown illustrate the importance of knowing whether your data is a function or relation, and choosing the appropriate plotting technique. Let's see how line plots can look nice when the data *is* a function.\n", "\n", "**Example 2:** If we group the sales data by year, then each year appears only once, and the relationship between year and sales becomes a function. Let's use `sum()` to do the grouping, so that we can see total sales by year." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grouped_df = sales_df.groupby( 'year' ).sum()\n", "plt.plot( grouped_df.index, grouped_df['sales'], '-o' ) # dots and lines\n", "plt.title( 'This is a function,\\nso we use a line plot.', fontdict={ \"fontsize\": 25 } )\n", "plt.xlabel( 'Year' )\n", "plt.ylabel( 'Total Sales' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That plot looks the way we expect. It is especially sensible because the independent variable ($x$ axis) is sequential, so it makes sense for us to think of the data as connected and flowing from left to right.\n", "\n", "Note that if your data aren't already sorted by the independent variable, connecting the dots with lines will jump all over your plot as it plots points in the wrong order. Use `sort_values()` to get the data in the right order, in such a case.\n", "\n", "Let's consider one more example of a function and a non-function, but we'll do them quickly.\n", "\n", "**Example 3:** The Volume and High columns from `regi_df` may or may not be a function; it depends on the data we happened to get. The *meanings* of the columns indicate that they probably are not a function, if given enough historical data. So we'll use a scatterplot." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot( regi_df['Volume'], regi_df['High'], 'bo' ) # blue circles\n", "plt.title( 'This is a relation,\\nso we use a scatterplot.', fontdict={ \"fontsize\": 25 } )\n", "plt.xlabel( 'Volume Traded' )\n", "plt.ylabel( 'High Price' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can clearly see that there *might* be a collision in there of two $x$ values having the same $y$ value. Even if they don't, we certainly wouldn't want to try connecting those dots with lines; it would be a meaningless mess.\n", "\n", "**Example 4:** The index and the Close column from `regi_df` are a function, because each index represents a separate day, and thus only appears once in the data. Let's see." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot( regi_df.index, regi_df['Close'], '-o' ) # dots and lines\n", "plt.title( 'This is a function,\\nso we use a line plot.', fontdict={ \"fontsize\": 25 } )\n", "plt.xlabel( 'Date' )\n", "plt.ylabel( 'Closing Price' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## But can my two columns of data look more awesome?\n", "\n", "Recall that the Seaborn library makes it easy to add histograms to both the horizontal and vertical axes of a standard plot to get a better sense of the distribution. This is possible with both line and scatter plots, but it is more commonly useful with scatterplots." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "sns.jointplot( x='Volume', y='High', data=regi_df )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If there were thousands of datapoints (or more), I suggest trying any of the following options. I'll illustrate some of them using the same data we just saw, even thought it doesn't have thousands of points.\n", " 1. Use `kind='kde'` in a joint plot to smooth the histograms, as shown in the first plot below.\n", " 2. Use `alpha=0.5` or an even smaller number, so that points in your scatterplot that stack up on top of one another show different levels of density throughout the graph.\n", " 3. Use `kind='hex'` to bin values within the scatterplot as well, again showing the varying density throughout the plot, as in the second plot below." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.jointplot( x='Volume', y='High', data=regi_df, kind='kde' )\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.jointplot( x='Volume', y='High', data=regi_df, kind='hex' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What if my two columns are very related?\n", "\n", "Seaborn provides a few tools for showing how one variable depends on another.\n", "\n", "First, you can plot a line of best fit over a scatterplot, together with confidence bars for the predictions made by that linear model. **Recall from GB213 that it is not always sensible to fit a linear model to data!** But in cases where it makes sense, Seaborn makes it easy to visualize.\n", "\n", "**Keep in mind that Seaborn is quite happy to show you a linear model even when it does not make any sense to use a linear model!** Just because Python will plot it for you does not mean that you should ask it to! Here's an example of just such a situation." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWAAAAGVCAYAAADAPivmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOydeZxcZZW/n1NLV+9bkk5Ckk4nEAiCQiAJKIgR92VEFFEGt5lRmBkdcRud0RkEHGdA/eng6GhQERmXqKgjyqYCMcIASVhDIGFJOnsnve+1v78/3lud6uqqrqquqq6lz/NJfdJ16y7vreXcc897zveIMQZFURRl9nEVewCKoihzFTXAiqIoRUINsKIoSpFQA6woilIk1AAriqIUCTXAiqIoRUIN8CwiIiaDxwYR+aDzd32a/W0WkdtyHFOniHw1l33M8LhVInKNiJyZ5/1m9N5lsJ/Xi8jH8zWuDI436XMQkVtEZHsG2xkR+Wgejp/2uyQi9c7xPpjr8VLs/xoR6SnEvksVT7EHMMd4edzfNcB9wL8Bd8QtfwboyHB/fw+EchzTxUBvjvuYCVXAF4BO4IkiHD8drwcuAf5zlo5XrM8hRj6+S0qWqAGeRYwxD8f+jvPQXoxf7ryW6f6eycOYHs91H4VGRGqMMePFHkcuiEi1McafZHmNMWa82J9DPr5LSvZoCKK0WSEifxCRURHZJSLviH8x8bZRRJaKyM9F5JiIjIvIiyLyxekOkOTW9zQRuVtE+pzjPisiH0mzj0+JyDYRGRSRoyLyWxE5Kc25DTv//yAu/NLhPIyIXC4it4rIAPBb5zhTbrfT3bY64/pBkuU/FJHHUmxzDfApYHnc2G6Je/18EfmTiIyJSK+IfFdEGuJej4VB1juf0Tjwj2nOLWkoSETe7nz2fhF5QERekupc47a5SES2O9t0iciXRcSbZpspIQgReaeIPOd8l7YAq1Ns+yER2SkiARHZJyKfSXj95SJyu4gcdr5TT4jI5enOYy6gHnBp8xPgJuArwD8Am0RkpTHmYIr1b8WGNq4ABoCVpPjRTMPtwC7gvUAAOAVoTLPNUuCbwD5n3b8FHhSRk40xgym2uZCpIZgjwGLn768CvwLeBUSyPId4vgf8PxH5B2PMCEzcfbwT+OdptlnljPFiZ1m3s+15wL3A/2JDFPOA64EW53k8PwW+DVyL/TxiZHpuy4GvAf8KjDv7uUdEViXzpp3xXeocdyPwOeBE4D+wztanpzlW4n7OAn4G/Bq4CjgN+HmS9f4R+Hfgy8Bm4GzgiyIyZoz5Ztx5PAh8B/AD52EvvFFjzE8zHVNFYozRRxEeQD1ggA8mee2Dzmt/HbdsHhAG/jZu2WbgtrjnI8BfZDmOTuCrzt/zneO+NIfzcmMvAsPA+7M9f2z82wC/TrKNAT6asOwaoCfJe1fvPG8ERoG/ilvnr7EXl3nTjO+rQGeS5X8G7k9YdqFzzNMTxnBVFuc28Tk4z29x1n1F3LLlSb4DE+8JINiL4A8S9v3XWAM+3fkmfpd+jp2PkLhln4//zJz3dgT4QsK+rgO6AHeS4wjW8dsI3Jfw2ueBI7n+tsrpoSGI0ub3sT+MMb3AMay3mYongP9wboHbZ3C8PuAA8B0RebeItGWykYic64RKerEGYgxrYE+ewRhi3JF+lfQYY4aA27BGMcYHgdud9zRjRKQWO5H6cxHxxB7AA9gJrLMTNkl1Dpme2zFjzP/Fnhhj9gGPAutTrH8y0J5kfPcB1cDpGR4X5xi3G8cyOvwqYZ2XA3XAL5IcbyHOd1VEWkTkGyKyD/s+hbB3aYnfjxGOh6bmBGqAS5uBhOdB7A8pFe8GtgNfB/Y5sbbXZHowY0wUO/vfBdwMdInIn0VkTaptHEP/e6xncyX29nId9mIx3VjTcTSHbRP5PvBKETlRRE4EXok9v2xpwXr4/81xQxLCetNeYFnC+qnOIdNzO5Zi2eIky8HewQDcmTC+vc7yxPFNx6Ikx098HjvezoTj3Z9wvFuw382vYL9f67Dvf+L3YxhrhOcMGgOuIIwxh4APiogL68FcA9wuIu2ZenvGmF3AO51Jm1cCNwB3iMhSx0An8kagFrjIGDMK4HhBrbmeTpJlAWz6Wjxpj2OM2SIizwMfwF4oDhN3d5EFA864rsEauUQOJx461ZAyPF6yO5A2rMFLRp/z/xVAsqyKvUmWpaIryfETn8eO91aSX1R2i0g18BZsmOQ7sRec7+gkjDE3M7MLY9miBrgCcQzlwyJyLfB/2NhhVrfbxpgQcJ+IfA07GdjM8R9cPDVAFBt6iHEp6b9bQef/bLzkg8CpsSfOj/jCDLe9GZvrCnCrMSbdxN6Uuw1jzKiIPAycYoy5LsPj5kKbiLwiFoZw7jbOAqZkdTjsBg4BHcaY7+Z47G3A20Tkn+PCEO9IWOchbGz5BGNM0rCKiDRh7xoCccsagLeR+YWoYlEDXCE4X/R7sJkQzwE+bCpVF/Bshvt4GXby6WfAHuwt92eBJ40xyYwv2HifGzur/X3sbPmnmRo+mYQxJigie4FLReRp7Oz4U2mG+GvgIyLyuDO+D5E+QyPGD7EZFx7sLXE6dgELxVZ9PY2d6OsEPgPcKyJRbGx5GBt3fQvweWPMcxmOJxN6gP8RkVgWxHXYMEDS8RtjoiLyKWebRuAu7IVkJfB24BJjzFiGx74BeAQbT/4+Nn78NwnHG3BS9m4UkeXAFmxY82Tg1caYi40xgyKyDbhaRIawF+t/AgZJ+OxE5Grg740xizIcY9mjBrhy8AM7sClDy7ATYQ8DrzeZFzF0YW8lPw+cgDWi92ONcFKMMTtE5K+wVW0XA09i06t+lsHx/hZr8P+IvWCsSLP+tdjb4H/DGpZvYo1j2lJcY0yXiDzi/L07g7H9HHg1Nr1qAdaAf9AY84CIXOCM5X+wF599wN3kN26Ns99/x6a5LcfG9y8zKVLQAIwxP3MM3eew2Q8R7MXqdxy/60iLMWa7iLwHm8L2v86x3w1sTVjvyyJyGPgE9oLvxzoA8Z//X2LTKW/F3ol9Exu2SvzcXMwxmySTJzkVpTIRkVbs7flHjTHfL/Z4FAXm2NVGmXs48caXYO8MhrFFCopSEqgBViqds7FhlH3YwpBMY6CKUnA0BKEoilIktBBDURSlSKgBVhRFKRJqgNMgJdjFIsV+PyoiWcWTJM9dKeS43OJb87G/XBErB3lNsceRK7mch/PdNCKSjQ5Esv1M+n6X2mediGTYUaTY6CRcekqxi0W+yHdXiiPY92tXHvaVD9Zjz++aIo8jV0rxPErtsy5L1ACnwZRgF4tSxRgTwBZ/lD2OFkY0g5LlOUkpftbl+JlpCCL/rJDCd7Hwicg3RWRAbOeKr2PVuOLXqXPW2S22c8NeEfmWU6IaI2lXCmf760Vkh4iMiMhBEfmxiExbIprstlRE3iYijzrvR7+IPCIir5pmH7Fb5g0i8gvn+HtE5O+TrHupM8aAiBwQkS+JFQLCKSH+L+fv2Lltnua4m0XkNhG5QkRexFZ0neC8drqI3CEiw87jF/HvRdyYXyMiv3HO9XmxjT3dIvIVEekRkUMi8sl8nke6sSU51i9E5P4ky68V281k2s4Zcesn+6w7ReSrIvIJ5zvTLyKbRKQ5YdtWEdnoHM8vIv8nIuckrJO2y8p0n1m5oAY4//wE21XiYuB5bBeL6TR8b8WWDl8BvAn4ErYsdzqux+ogfBG4HFum+qmEdWqxZbKfd/b7r1jhml/ErRMTsvk37O3ky7G3lmBLfv8dq3HwcayewH0i4k4ztgnESj/ehg3b/IUz1t+RmVLad7FlzRdjxcK/JSITOrgi8npsuetjwEVYI/VpbJkr2BDR/3P+jp3bFCOewHnA32FLr/8CGHR+9A9ihXneh9USPg34rciU256NWG3gi7F5x7c542nAluPehu3OcW4+ziPLscX4HvAqEZko+3bWfT/wI0eEKRcuBV6D/T5/FquU9u9xx/JhS89fB/wjVqOiG/hjwoUj1mXlIuDD2O/yg2I1T+KZ8pnlOP7ZpdiK8OX0oAS6WDj7HAc+G7fMhY3FmWm282C/rAZoT3c+Cdu6gSXOuhdMs16Hs85bneeXAL1ZvscbnH1cF7fMi/2RXh+37GGmdqb4DFb7YKnz/KPTvScJ22523tdFCcv/B6syVhW3bJVznLckjPkLceu8xFl2X9wyF1Zv44Z8nEeWYzs9bgz7gGvjtpnU0SPF+xP7fsc6jUz6rJ1lncCLgCdu2X8CXXHP/warSbEq4bv5IvCVab5/U7qspPrMnNe+CzyUzXevGA/1gPNPobtYvBTr8fwm7jjR+OcxROR9IvK4iIxgJ/4ecF5K26lCRN7k3BoOYi8isT502XS52AE0iW2A+XoRqcti2/j3MYS9m4h1WHBjZRl/kbDNz7AG5uXMjEeNMV0Jy16LVWGLyvGOD3uxxmZtwrr3xv39gvP/fXHnEcUK4yzJ03lkM7b4MdwCvD/OS/4gsN0Y83Sa42XC/caYeGnSZ7CymjEd59diu3rsjRszwJ/ixyyZd1lJ9plBmXTXUAOcfwrdxSJ2mzZttwIRuRgb3ngIq052LscbTE6rwSsi67BhlIPYW9uXO9un3TYeY1XHLsKGL+4EekTkJyKyIIPNp3sf52O94kT1sdjzmYrBJ1Mzm4+9vQ0lPFYytcPExJiNMcHEZQ75PI9sxhbPD7Bhq1eL1cp4J/kTQk92vsJxIf352O9S4pj/KjZmya7LSioFurLorqFZEEXGZN/FIna1b2OyQHpit4J3AY8YYybinjLN5FcCF2Nv+d9tnPs5sXqvWWOsUPcdTuzuLdhb0v8C3jOT/Tn0YH+0iee80Pk/lXZxOpLlUfdhvczvpRhHLuR6HjMamzGmU0T+iPV8V2AdsdkSKerDOhx/l+S1mGh7Nl1Wkua+G2Ouzn2ohUcNcIlgMu9isQM723sRTg6mY7wvSlivhrguBA6XJzxP1ZWiBgjFjG+KbbPC2Pb0P3EuAjMNEcT2FRGRR7EXmW/HvXQpVvD7Ied5EEBEqs00GrppuBcrRv5owvuRM3k4j1zG9n2s13sa8L/GmGkF9PPIvdi+cPuNMcl63sHMu6yUHRV3QuWEzKCLhTGmV0RuAq4VkTC2P9iHsfGxeP6AzRz4PLazwZuxs9Px+0rVleIPwMdF5D+B3wKvAN47g/O7Emts78b2S1uFNTa3ZruvJHwBuEdEfgBswsbGvwh81xgTi1fHigSuEpH7gCGTmRh7PNdgRcjvEJGbsZ7lEuws/i3GmM05nUVu55HL2P4X21z0LOCfczyHbLgVK8S/WUS+io2Jz8Pe/XUZY77ODLusxBPbzhhzbtqVi4jGgItLfBeL27FdF8ZI38XiM1jv5WrsreNh4GsJ62zEpi9dhW0nvhybCpXI32Ljcn/E9gE7wRhzJza2+E5nXK/CphNly1PYbhJfw8b0/gU7O52yw0amGGN+jw1jrMVeJD6OPd/4Lgt/xnbivQp7Edo4g+M8h41ZjmG7OtyF7YYR4PhE24zJ5TxyGZuxhRR3AQewn/2s4Hjwr8Ze5K/Ffi9uxF6ctzrr7MDGhM/Bpi3+JfbCnU2KmZsycDBVjlJR5iBOTHUfcLMx5l+LPZ65SslfIRRFyR9OOtgZWK9yHjO4K1DyhxpgRZlbnIC91T8GXBkXZ1aKgIYgFEVRioROwimKohSJijfAYtnrKDedlH6LqWLOkqHY+lzGUaXanOU2MxYLF5HtInJLttuVOmKV0T6Y4bpGRD6afs20+ylJcfXE32ExKZQNqHgDjM1D7XD+nmn11R3OfrSjrlJoLsVWqClzgLlggC8DRrH5k5fNZAfGmG5jzMNOtVpJICI1xR6DopQrIuLNRlq1UFS0AXbe4HdhiwluBl4iIi+bwX5S9cO6VKyw9KBYAeprnbLg+G3TiXlnIpweu938pIj8p4h0Yws4Uo3XiBXF/n8i0itWDPzTzmsfECtwPiAiN4tIdcK2Z4rIvc5Y+sUKsS9MWGeZiNwpVkC+U0Q+lGIcWYmFT3M+p4vIg2LFu58VkbelWC+lsHncOu1iRcL7nHO8R0ROSVjnn0XkBed4R0Xk7unGLbavXo+IrBGRh539Pi4ir0xYz+2su98Z404R+cu412/BFr+8So6Lr1+T5u2pEpEbnfMZEJH/kuPKYxmfc5JzmnassfGKDQW9TkSeEitE/4CInJawXotz/FEROSwinxUr3N6Z5txi26fbv0tE/sn5zAIi8pyIfCBhnRkL7heUYuthFvKBLck0wNuwQh5B4D8y2O4WrDxf7PkHSa6F2omtWnodViTdAJfGbXcStnrnXqzw9Dux8nzbOJ6BsgCrA3AJtuLsvdgy5HsSxmSwYuk/w4qVvHma8RusktlGbN39N5xlXwbux1a1/T22Yuqf4rZbgC33fMgZ73ud/TyFozmLVah6DNiPzSV9B/ZicAjYnOW5byC9Dm2Ns+8nnWNdji1fPYYtt42t93pnXz903p/POOf3nbh1Wp1xP4691X8rVqLzAFDjrPN+rJLW3zufxzuwwuAnTjPGa7DhqaewFVxvwur89gC1cet9CSu+8y/AG7DVawa4zHn9RGwZ7mPYCrdzcTSBp/mcDwG/dI75aeecv5LlOXcwVdt32rHG/U6OYSVV3439nT2HLY+XuPV+g9U1+ZBz/Hud43dm8DvMZP/fwiqffQYrd3kDVhM5/nw2Y38/j2N/a28GGsnge5rMBuTNRhXbSBbygfV6+zluPO7A6qVKmu1uITMDfGvCdk8Am+KepxXMTnLsKcLpcT+2xzM8b0OcyDf2TueI8140xi3/OVYxLfb8eqwBjl9nPZONxJud5+fErbMcK5yyOZtzJzMDHGtiujRuWez9uSVuWSbC5l/EGoLWuHVanB/gR5zn3wR+meX37BpnPBfGLTvTWfZG53krNhT2hYRt7wR2xz2/Lf59zOBz3gW44pZ9HnsxaM3inGPf57dmOdZbnM89Xlz97c6+VjvPT3eevytunRrsxakzg99huv2fhBXu+UDCtrcC2+Keb2aGgvvOssud4/qy+W6ke1RsCEJs65OLgV+b49qsP8V+2fIl0PH7hOfPMFl8PSPBbMlcOP0OMmdCHNzY2PVerGrWUNw6L+CIgzusB34fv44xZqsz3vPj1jlqjHkkbp19WJHteLIWC0/BemfcEwUDxpgHidM/lsyFzV+L1SAYihvTsDP22JieAN4sNpy0XjKPE4awP/IYsearse/D6ViJxWRjPFlEEiUpM+U3ZvLcxK+wBi6WWZLJOSeSzVg7jTHPxz1PPO/YMX4bW8FYnZNM9SfS7f81WAP869j5Oed4L3BmwueXi+D+CFYhMFFhMCcq1gBjb8magTtFpFlsY8DN2Fu0GU3GJSGd+HpawWzJTjg9lfh0pmNLN97FKY5xlONarIuYKgZPkmUzFQtPJJPjZSpsPh97K5s4plfHjelm4HPY2/VHgKMi8sUMDPFQvCGMu+jH3t/FCWNKHGNLmv2nIpUwf+x4mZxzItmMNdl3Co6f9yJg2EyVA+1OcexE0u1/PlZ4Z5DJ53cL9m5ycdy2uQjuF0TgvZJLkWNGNvEqDlZ+8ROm8O2rMxHMzkY4vdBli0eYKg4OViA85uF2pVinDXuLFyNfQuZdwOoUx4vfXybC5n3YCdlkXaeHYeJu4evA10VkGfbW80vYWOt3shh3IvHNTuN1nnMVkU8859jz2PHSnnMS8jnWLqBBpmoZZ9IVJRP6sGGK87CecCLxF6hkv5+MvqfGmPuYeaeVlFSkARabrfBWbMjhpoSX12DlEV9N4WX4MhHMzkQ4fbZ4BPg7EWkwxgzDRHuiDo6HRbYBXxCRc2JhCLEtZM7CduiNkS8h823A5SKyNBaGEJHziDM8JnNh83udZTvN9HKfsf0eAK4Xkb/CNtnMhaexsdl3AdcljPE5Y0zMI0zXwiqRi0Tkn+O873dgL4Sx/m5ZnXOWY82EWCHF27BzDrEUyteRn55tMe3gJmPMH2awfcEE9zOhIg0wtjtELXBjfKwSQEQexE5UXEbhDfA1pBfMTiucPot8Ddsq5h4RuQEr8n49Nsvhl846d2IzEn4hIp/FpvNcx9Rb4WvIj5D5D7Az8Xc4KVk1WG8u0Yv+AumFzb+Gzey4T0T+C+vVLsRmOzxgjPmpiGzEekUPY29rX42dlMlJw9gY0ydW4P5fxArpb8cayzczOSS2C2tU347NQDlsjDk8za4bsJ/Fd7HC5VcD3zTGxLzUtOecw1gzOe+nReS3wLfF9p/rAj6JNfA559UbY3aLyHeATSLyZWes1dj34mRjTNIUyTiuIYPvqYi8HxueajJOm6S8kM8ZvVJ5YEWcn5vm9f/GZgQkndEk8yyIt063nbNsNXZmuw/rmbyATQ+Lzcy7ga9iDdgQ1tCdk7h/5/lHMzz/Keti49+3JSy7BuhJWLYG61WMYeNvPwEWJqzTju1yMY7VlL2SJLP3GZz7BtJkQTjrvQzbpimAnbF+O/aHdkvCeu/GXiyCWOP1JeJapDvrnIA16ked/XUCP8J2T4h91g86Y46llv1NmvFNeR+TfQ7OZ30tNgUriJ1Qujxhm/nYW+I+Z/tr0nzOn8RmbvRjLxjfIuF7ncE5dyT5vmUy1luY+n1Ptq9W7ATeqDOGq7HC/E+keV8z3b9ghex3OufXje2ynNjC/rYUx5n2e5rMBuTroWpoiqLMKk6mwdPYuY8PFHs8xaRSQxCKopQIIvIurBe+A1v88GFsWOf9xRxXKaAGWFGUQjOKrRA8CRva2AH8hbE55nMaDUEoiqIUiUouxFAURSlpyiIE8cY3vtHcfffdxR6GoijKTJFkC8vCA+7pyaZwSlEUpTwoCwOsKIpSiagBVhRFKRJqgBVFUYqEGmBFUZQioQZYURSlSKgBVhRFKRJqgBVFUYqEGmBFUZQioQZYURSlSJRFKfJcZPOuY2zcsocD/WMsa6nlygtWsmH1TBvnKopSiqgHXIJs3nWMq2/fybFhP801Xo4N+7n69p1s3pWsObCiKOWKesBZkk/PNNW+Nm7Zg9ct1FbZj6e2ysNYMMzGLXvUC1aUCkI94CzIp2c63b4O9I9R43VPWr/G6+Zg/1i+TkVRlBJADXAWxHumIvZ/r1vYuGVPXve1rKWW8VBk0vrjoQhLW2rzdSqKopQAaoCzIJ+e6XT7uvKClYQihrFgGGPs/6GI4coLVuY0fkVRSgs1wFmQT890un1tWN3GdW87jbaGagbHQ7Q1VHPd207T+K+iVBg6CZcFV16wkqtv38lYMEyN1814KDJjzzTdvjasblODqygVjnrAWZBPz1S9XEVRyqIr8tq1a8327duLPQxFUZSZkrQnnIYgyhytmFOU8kVDEGWMVswpSnmjBriMyWdesqIos48a4DJGK+YUpbxRA1zGaMWcopQ3aoDLGK2YU5TypmAGWESqRWSriDwpIjtF5Fpn+Y9FZLeIPC0iN4uIt1BjqHQ0l1hRypuC5QGLiAB1xpgRx8g+AFwFtAJ3Oav9BNhijPn2dPvSPGBFUcqc2c0DNtayjzhPvc7DGGPunBiRyFZgaaHGoCiKUsoUNAYsIm4ReQI4BvzBGPNI3Gte4H3A3YUcg6IoSqlSUANsjIkYY87EernrReT0uJf/Gxt++HOybUXkChHZLiLbu7u7CzlMRVGUojArWRDGmAFgM/BGABH5ArAA+OQ029xkjFlrjFm7YMGC2RimoijKrFLILIgFItLs/F0DvBbYJSIfAt4AXGaMiRbq+IqiKKVOIcV4FgM/FBE31tD/3BjzOxEJA/uAh2yiBL8yxlxXwHEoiqKUJIXMgngKWJNkuSqwKYqioJVwiqIoRUO90Tyi2ryKomSDesB5QrV5FUXJFjXAeUK1eRVFyRY1wHlCtXkVRckWNcB5QrV5FUXJFjXAeUK1eRVFyRY1wHlCtXkVRckWTUPLIxtWt6nBVRQlY9QDVhRFKRLqAc8htFBEUUoL9YDnCFoooiilhxrgOYIWiihK6aEhiDRUym37gf4xmmsmN6DWQhFFKS7qAU9DJd22a6GIopQeaoCnoZJu27VQRFFKDzXA01BJ+g5aKKIopYfGgKdhWUstx4b91FYdf5vK+bZdC0UUpbRQD3ga9LZdUZRCogZ4GvS2XVGUQqIhiDTobbuiKIVCPWBFUZQioR5wgamUQg5FUfKPesAFpJIKORRFyT9qgAtIJRVyKIqSf9QAF5BKKuRQFCX/qAEuIKq/oCjKdKgBTsHmXce47KaHOf+G+7jspodnFLfVQg5FUaajYAZYRKpFZKuIPCkiO0XkWmf5ChF5RESeF5GfiUhVocYwU/I1eaaFHIqiTIcYYwqzYxEB6owxIyLiBR4ArgI+CfzKGLNJRL4DPGmM+fZ0+1q7dq3Zvn17QcaZjMtueniKBsRYMExbQzU/veLcWRtHIprSpihliyRbWDAP2FhGnKde52GAC4HbnOU/BN5eqDHMlFKcPNOUNkWpPAoaAxYRt4g8ARwD/gC8CAwYY8LOKgeBJYUcw0woxckzTWlTlMqjoJVwxpgIcKaINAO/Bk5NtlqybUXkCuAKgPb29oKNMRlXXrCSq2/fyVgwTI3XzXgoknTybPOuY1x/17Ps7bWe8cr5dXz2jasLEhbQlkKKUnnMShaEMWYA2AycCzSLSMzwLwUOp9jmJmPMWmPM2gULFszGMCfIZPJs865jfPq2J3mhexRjDMYYnj82wj/e9mRBwgKl6JUripIbBfOARWQBEDLGDIhIDfBa4AbgfuASYBPwAeA3hRpDLqRTQdu4ZQ8jgTBuEVwuG18XYxj2h9m4ZU/eveBMvXJFUcqHQnrAi4H7ReQpYBvwB2PM74DPAp8UkReAecD3CziGgnGgf4xI1CBxc5siEI5GCxIW0JQ2Rak8CuYBG2OeAtYkWb4HWF+o4+aT6dK+lrXU0jMSwESZMMLGgMflKlhYQLWJFaWy0Eq4FKRL+7rygpXU+zxEjCESjToPQ0O1J+lkXa5VdYqiVB5qgFOQLu1rw+o2vnrJGZy0oA4RQURY1VbPVy45Y8pknebvKoqSDDXAKci0GKOlzseCBh9ntbckTUHT/F1FUaXFuCoAACAASURBVFKhBjgF6dK+MvVs4w35sD/Enu4R9vWO8tj+fvWCFWWOowY4BemUzDL1bGOGfNgf4vCAn3DU4BJBhIoIRWh8W1FmjhrgFKRL+8o0RBEz5F2DfsDE/rGwobrsQxEa31aU3NCmnNMwXdrXspbaKYppySrTNqxu4zrgyh89igG8bmF+fTWNNV6MMWVdShx/FwBQW+VhLFiYQhRFqUTUAGdBfF5wg8/D4HgIsJ5v72iAvtEQA2NBLrvp4Uk5wxtWt3FWe0tGBrucUH0KRckNDUFkSOLtdjASRQCvS+ga8tM3GqKl1svippqkt+KV2B1D9SkUJTfUAGdIskm3xhovLXU+VrU1sLSlhgUN1Skn5GZaSlzKk1yVeFFRlNlEQxAZMt3ttoGMbsWzLSWOed1et0ya5LrO2VexicW3N27Zw8H+MZZqlw5FyQo1wBmSbtKtEPHdcpjkmok+hbZWUhTLnDLAufzw08lBppOKnMmxK3GSq9S9ekWZTeZMDDjXnNXpYrjp4rszPXYlTnJpabaiHGfOeMD5uJ2f7nZ7utfijz3sD9E9HMAfjvCxTY/zjfesSbldJYqwV6JXrygzZc4Y4Ol++IWOScaOHStHFgGPSxgLRqa9/a7ESa5MC1gUZS4wZwxwqh9+vc9T8Jhk7NjdwwFEwCVCNAo+j0zcfs/Esy5HKtGrV5SZMmdiwKlyVo0xOcUkM8nTjR3bH44AhmjUEMUwv943526/tbWSohxnznjA8bfzzx8bJhiO4nULR4ciLGr0TVo3nVGMhSyeOzrESCBCbZWLYNgK7jy2v5+PbDiRj7325CnH/timxxkLRvB5jutBjAXDc+72u9K8ekWZKXPGAMPxkMLVt++kqUao8bp54dgIhwb8gNDoxIgTY5KJGhDdIwGaarz4Q1FCkSj9Y1E8LsHjEiLG8K3NL/Kypc2TjMyG1W184z1rJsIdNV53yVeOab6uohSWOROCiJGYBrWoqRqAo8P+pOW0iSlke3tGGRgLEY4YgpHoxH6jxiAiuF1COBpNGsIop9tvlZpUlMIzpzxgmJoN0VDtZUmzoWsowOB4aEqmQWL6WsQYXAI9IwGq3C5GIzZP1xgm/ve5XSlDGOVy+10OVXiKUu7MOQOcLBvC43ZxVnsLP73i3CnrJxrsKreLUCRKMBLlhKYaxvqsFoSI9YKNgaY6b9nHdTVfV1EKz5wLQWSr4JVYjbagwUfUgNslNFR7aKqxhlwAt8C8ei9et7tk47qZUolVeIpSasw5A5wsDnvJWUvYuGVP0lSyRIPtdgkttV46WmsZHA9x6uImPvnaVaxfMY959T465tWXbFw3GwohNVnK0pqKUgzExIKXJczatWvN9u3bC7Lv2GRTMBxh2B8mEI7idsmkVLJYNkClVKNlSj7PO16EJ74AoxIuVoqSAZJ04Vw3wJfd9DB7e0boHQ3iQogaQyhq35PVC+v5pzedqgYiD1x208NTYu9jwTBtDdVJY++p0NQ4pUxJaoDnXAgikQP9Ywz7w7gQDBCOmol3qrNvLGXqld5OZ0emXaSnQ1PjlEqjYAZYRJaJyP0i8qyI7BSRq5zlZ4rIwyLyhIhsF5H1hRpDJixrqSUQjiIC4ejxvF4BIlGTtCw5G0OghtqSj0k9lbJUKo1CesBh4FPGmFOBc4GPiMhLgC8D1xpjzgSudp4XjSsvWInbqWCbyOV1HuGILS9+/ujQpG0yNQTqsR0nH5N6+fCiFaWUKJgBNsYcMcY85vw9DDwLLMHatkZntSbgcKHGkAkbVrfxkQ0n4hKZMLwxPC4IRqIMByKTjGamhiAbjy1XT7nUPe18VAFqapxSacxKIYaIdABrgEeAjwP3iMhXsReAV8zGGKbjY689mZctbeaGu3fxbNcwgjW+LpcLY6C1zjupAixTTdtMixlybdNTLm1+cq0CVClLpdIo+CSciNQDvwQ+bowZAv4O+IQxZhnwCeD7Kba7wokRb+/u7i70MNmwuo27Pn4B8+urqPG6QKy4TnONh77REA/t6eWUf7mLN379T7x8ZWtGt9OZemy5xjbnSmy0nLQ0FCUTCuoBi4gXa3x/bIz5lbP4A8BVzt+/AL6XbFtjzE3ATWDT0Ao5znhWtTVMeLdD4yEODowTcdLSjDG80D3KrQ/v4/3nLuehPX3T5shm6rHlWvY7l8qGy0VLQ1EyoWAGWEQE690+a4z5WtxLh4FXAZuBC4HnCzWGmRBvNHtGAhPGt8rtwu0SJGoYCYR5aE9f2vzVTFsK5dqmR9v8KEp5UkgP+DzgfcAOEXnCWfY54MPAjSLiAfzAFQUcQ9bEG83OXutBVrmtzCRY0Z1I1GTsXWbiseUa29TYqKKUJwUzwMaYB0hR/QGcXajjpiKbCqqY0bzspod5fH//pMwI4wjxJPMuUx0jtjy+E8fJCxsnXp9p883449VXuRGRpJKaiqKUJnOiFHmmOgSbdx3jH297kv6xEI4DTNRAc62Xr15yxqRtUx3jkrOWcNtjhwhFIvQMBycuSfPqqqjyuGc8iZTNOWn5rqIUnblZirx51zE+tulxDg2M0TXoZyQQzjhLYMPqNr5yyRmsaqtHRBARTlpQN8X4QupMhO89sBevWxgaD+NyCR6XCxfCsD+cU6aCFoMoSvlT0YLsMeMzGgjjdlmdh8MDfk5ohnqfJ6M4bqoYbqJX+dzRIRY31Uxap8brZjQYod3rJhiJToojByPRnDIVMs180M4WilK6VLQHHDM+Po8LY2J3AIZjQ/6csgSSeZUjgQg9I4FJ642HItRV2fBAlds1qW1RlduV0xgyzTHW8l1FKV0q2gDHjM+8eh8GQzRqMBj84Sj+UJQPn79iRvtNdvvfWuelfyw0pTjjQ+evIBQxNNZ4iEYN4WiUKIaGak9OmQqZaito+a6ilC4VHYKI5cc2VnuJRA39Y0GCYUON180/vPokVrTV0z0coLHGg89z3EtMN2mV7PZ/Xp2PUMTQ1lA9JZPhZUub2bhlD6GIzYKocgsr5tfnNBmWaeaEpqgpSulS0VkQsVCB2wUel+APRQlHDVdduIr1K1snrVvv89BSV8WDz/ekzS7Il7j4bDFXO3ooSgmRNAuioj3gmJf435tfZH/fKIsaa3jPumVTjC/ASCDMaDDCN+9/AY+LaSetys2r1PJdRSlNKtoAgzU+61e20jXoT7uuMYYD/WM0VnsIO1kLIpJ00qrW62KvUym3cn4d//qW1WrkFEXJioo3wNmyuLGG3tEANV4r0u4SIRg+PmkVXwCxqq2e8VCE0WAkzV4VRVGmUtFZEDPhPeuWEY4axkMRjDGMBsKMh6JcunYpgXBkzkg/KopSeNQAJ7B+ZStXXbiKeXU+hv1h5tX5uOrCVZyxrJlD/eN09o7i80x+2zSvVlGUmaAhiCSsX9madKIOYGFDNb2jAep8HtwiuFyS17xa1W1QlLmDGuAM2Lqnj03bDnBkaJw6r5uRQBiAaq+LQCBKNAoffuXMijriKZfWQoqi5AcNQaRh654+brzveXpHAzRWewg5Au1et4thf5jWWh8fffVJrFhQz7FhP+M5TMhpfFlR5hbqAadh07YDeFwyoacQ+7+x2sv3PrB2Yj1jDPc9c4xN2w7QNTTOkuZaPvTKFbzhtEW4XKlkkSczl1oLKYoyBwxw93CA3z51mNULG1jUVA1MDiksnqY4A+DI0DiN1ZPfpmqvi66h8UnLYp6yxyU0VHs4Nuznut89w+B4iFedsoDaKg/1Ps+EIloykrUW6hkJMBaMcP4N92lMWFEqjIo3wJt3H+O63z4DwLKWGtpba3ny4ACBcARjoH8syA33jPLZN6xOaoSP5wXb2K/Vk4hS7XWzdU/fxDbJPOXxUIRNWw+wfkUr48EIfaNBaqvc1Pk81HrdUzzjxAq7npEA3SNB2hqqNCasKBVIxRvg0UCYphovg+MhDvSPc6D/uOcqQNQYBsdCbPzTC6xfuX7K9u9Zt4wb73uevtEAA+Ohie3cLvjX25+m3udheWsdnb0jLGjwTdo20VOO5RWPTkziuan2uvF5XFR73VMEdsaCEdoaqphfbz131fJVlMqiosV4Ygz7Q2x5rpttnX388P/2keqM3/zSRazvaOWs9hbq48IOW/f08cU7nmE8FMHnceEGRkLRide9LghF7f8LGqqp99ltx0MR5tX5+Nq7z8honF63i5oqNzWOYX7VV+6nucaLbTBtMcYwOB7iz5+9MOv3QVGUojH3xHhiuF3CqYsbOXVxIz9+ZD8makCEqDFE46zxnTu6uHNHFy6B005oZF1HK+tXtLJ2hTXIJzRXMxqIcDhBVyIUte9uKApHh/zQ6MPtchGOGt6zblnG4wxFooTGoww5nnZbg4++0SB1Pg8CiOQ351hRlOIyJwxwPMtaatnXO4pLrERlNGqIRqG5toqO+bXsODRIKGLYcWiIHYeGuPnBTscLhd6RIGPBcMp9u8Ua++6RIKctbpp2ci8TLj3bhj8i0RDVXjfBcIRwFN53bjuhSBSve/ayCLVARJlrzMZ3fk6EIMaC4Qk1tK17+rjhnl2MBsJEoga3S6jzeSYm4f78XDe3/N8+uobGiRgIhqNp9n6cGq+LpS01DPvD/OTD+dEFjmVsdA2NT5HTjIUsqjwuqtwuvG7XtFkWM2WmXaUVpVwpwHd+7oYg4lm/spXPvmF1UqO2dU8f39myB49LWNpSgz8UxR+K8IoT53NsOMD2fX2EIqkvWI01XvyhKIsaa1KuM5PxpvKiYyGLeDwuF16PWIPsGOYqtyvjXORkaGNPZa4xW9/5OWeAIbVRS1V0sa93jK+9+wyC4Si3bT/IT7ftxx+OEElwjo8OBfC4hOWttWzr7OOMpc1UeWa32DAcjRIOwjiTK/I8LhdVHhc+jwuf1xplT4YhDC0QUeYas/Wdn5MGOBXpii6qPC7+8tx2TmqrZ9O2AxwaGAMDY6EIY8EIBghHDQ+82MsDL/bi87g4Y2kT61a0sq6jlWUtNZMyGmYTa5ijjAWPLxMRPC7B457sMSeGMpIViOhkoFLJzNZ3Xg1wHPFFFzGShRSSedCRqGF31zBbO/vY1tnHriPDBMJRtnb2s7WzH3iRRY3VrOtoYV1HK2vam6nzFfftN8YQihhCkakes9sleN0uPG7h8nPauf7uXURNiFqvG384WtItmBQlV2ar7dicm4Sbjvhy4mqva9omnonbxZc2r1nWxLbOfg4MjOESIRwxDAcmZ0+4BE5f0sT6jlbWdbRwYls9riJ5x5kwaTKwqYbL17dzwSkL8LgkpeesKOVMnpvZJv1hFMwAi8gy4FZgERAFbjLG3Oi89g/AR4EwcIcx5jPT7Wu2DDBMn3WQav14o90/GqRvLMS8Oi/NtVX4Q1GG/SEixhrdYDjKeGhqZkVLrZd1HTZUsXZ5C0213iRHK31innOVxxpka5gl43izolQos54FEQY+ZYx5TEQagEdF5A/AQuAi4GXGmICIlNQ0+nRZB8lInLgbDUZwCYwEIrTU2uVHBmxKm9tlU8cWNfoIRwwG+7xryE//WIjfP3OU3z9zFAFOXtTAeidccerixrLxLCNRQyQawR+aHNKIxZu9bhcuF7hFcLusYfa4YrFoNdLK3KJgBtgYcwQ44vw9LCLPAkuADwPXG2MCzmvHCjWGGFVuF611VYSjhnDEEI5GHUORu/efOHEXikQRsf+DbXcfdg4TC0f0jARoa/ARNfDjD63nYP842zr72NbZzxMHBgiEo+zuGmZ31zD/8/B+6nxuzm5vcTzkFtoaq3Me92xzPN6cOq86ZqRdjkF2uwSvk1YXy+JQlEpiVmaBRKQDWAM8AnwFeKWIfAnwA582xmwr5PE9bhfNtVVTlkeihmA4SjAcJRCOODHfzAsvYOrEndftmlSl1h+XdiAiiEA0Cj2jQV6yqAkRYVlrLctaa3nHWUsJhqPsODTI1r19bHmum6PDAUYDEbY838OW53sA6JhXO1Em/dIlTRVjmGJGmggEkrwuInjd1jDH2kHFDHXMQJfLnYKiwCwYYBGpB34JfNwYMyQiHqAFOBdYB/xcRFaahGC0iFwBXAHQ3t5ekLG5XWLFb6rcgI25hiN2hj8YiRKKWE/Zes7RpB5zTC1tPBSh2uuirspN31iUep8bgzXwLrCG1xjsPJshHCGpTkSVx8XZy1uIRAwPvNDD4iYfkahh2B/GH4pigM7eMTp7x/jFowdxCaxqa+B1L1nI+hUtLGkuXqpbItnoLmeCMYZgePq7lljmRnyIo8pZ5nFJybw3igIFzoIQES/wO+AeY8zXnGV3Y0MQm53nLwLnGmO6U+0n10m4fBGK2Mo4f8h6zLEy5cSJuzXLmnj8wCBdQ+MM+8PUVrmo8rjpGw0SikRxibC0pXZSR40YsX3tPDKICMyv802oq40Fw0SjhqFAmICTCpbI4qZq1ne0srajhTXtzZPyGGeTmWaUFBqXY5jdrqnhjomHs44aayWPzHoWhAA/BPqMMR+PW/63wAnGmKtF5GTgXqA90QOOJ58GOJ8CG9GoIRB2jHI4wp92d7Np62SPD8jYEMUbrcMD47gEDNDmSFwaDJ29YyxqrKbG6yYcNYwFwwz5wwTDdr/xeFzC6UuaWNfRwvqOVlYuqJs1o/LJnz05Jac6W3nOYuN2CS6RKR61121DHl63GmklY3IzwCKyBFhOXNjCGLNlmvXPB/4M7MCmoQF8DvgjcDNwJhDExoDvm+7Y+TLAhRKV2bzrGDfcvYvdR4fxuoUF9T7cLiEYsYYWyCi1Ld5oHegfswbVgMctLGupZTwUoWvIT8e8WiTu8zQYhsZDXHfR6U4hSD87Dw9NCZnMq6tirWOMz17eQmNN4VLdLvvuwzRWe6aMM59CRaWA19HZ8DjG2iXWyxaxMWuXo5AX86w102POMvM0NBG5AXg38AxMlEwZIKUBNsY8kOqgwHszOW6+KYTARsyoHxvy43EJGOHocIATmmqo8Qq/evwQ37x8DeeeOI9omotdfEZFa10Vx4YCgJ2YGg9FCEcNy1pq8YeiU6r1FjfVsmphA6sWNnD5OcsZDYR5fP8A2zr7eGRvH8eGA/SOBrln51Hu2XkUl8ApixrsZF5HK6csasjrBFamVYXlTigSTTlpmAyRmCGOm0B0UvFihjpmyNW7rnwyDRC+HTglljpWruQqsJEsfBEz6hFjpS0Fgahtprlifh1HBsdpa6jG1FsjOhaMMBaIJM22iDdadVUe2hptU1GAeXW+SSGN2KRfLKSROKFX5/Nw/qr5nL9qPsYYDvSNT5RJP3lwkGA4yrNHhnn2yDC3PrSPhmqPTXVbYVPd5tf7powvGxInJ1ONc65hjCFsDJmonEqcRx0Lg7gSYtexmLZOMJYnGYUgROQu4F3GmJHCD2kq+QpBXHbTw1MENsaCYdoaqvnpFdPfFqcKX4wFwyxqrGZvzyjhqMElgjGGiDG0t9bS1lA9YajjDfcrTprPeChCIBRhPBQhEjUZT1xlW62XSCAU4Skn1W1bZz/7+6ZegFbOr7O6FStaOf2EmaW65TpOJTviJxgnTSjGxbDVWBeN7GPAIvJf2FDDEuAM7ITZhBdsjPlYfseYnELHgC85awkP7embdmIulfHuHg6woMGmih0e8CNivRyXS2hrqOaSs5Zw22OH0sadg+Eoo4Ewf3zmKD9+ZP+sGq2uQT/b9/WxdW8/j+/vZzQ4uYqt2utizbKWCYO8pLmywghzkWTZIGqsC8qMDPAHptujMeaHOQ4qIwqRBRET2Hj5ytaMDOT5N9yXtEFm1+A4tT4vXrcQjkQ5OhQgFI2yakE9//SmU9m4ZU/WXvd4MMKwP8RoMEImdyj5zLcNR6I8c2Rowjt+/tjUm54lzTUTqm5ntjdPivMqlUeisY73sD0uW1rucWkRTBpmNw0tnxQyDzjTsETiekPjIY4O+zHG3q4bYxgNRqaoJqUy3Jl0Ng5Hogz5wwyNh1JO4BU637ZvNMh2J7Ni+75+Bp2GoTG8buGlS5omKvM65tWqxzRHiZWSxwy1x+3CLYLEaX+IMFfzrHPKgtgBU7q5DwLbgX8zxvTmNrbikenEXLw+aDgS5dCAVVdb0lztVM0ZvnjR6VNCF7kIO3scDYumGi/9Y0GG/eEpHnGyLh7joQibth3IiwFuravi9act4vWnLSJqDM8fHWFrZx/bO/vYeXiIUMTw2P4BHts/wMYte5hfXzWh6nb28mYaqstT1U3Jnnh96UyIZXzEe9Yxj3oiB9tV2cY60yyIu7DpZz9xnr8Ha9EHgVuAv8j7yGaJTA3khtVtXIdNZXtsfz8el7CoqXrCwKRKZ8uHsLPbJcyv99FU42VgLMRI4LghTtfFI5+4RDhlUQOnLGrgfecuZ8Qf5rH9/RPhiu6RAD0jQe56uou7nu7CJXDq4saJyryTF+Y31U0pbyJRQ4TMDLbH5cLtnuxhT07bO55zXU7GOtMsiAeNMeclWyYiO4wxLy3YCClsCGImxRnZhhXyLOxMKBKdMMSf2PRESVScGWPY1zfGNscYP3lwYEqpdGO1h7OXt7DeadHUWjdVIElRcqVEs0Fy0gOuF5FzjDGPAIjIeqDeeS2cerPSJ96zzdRAZhtW2LC6La+dVL1uFwsafLTUevmb8zv497t2FT3fVkTomFdHx7w63rV2Gf5QhCcPDrBtbz9bO/s42D/OkD/M/bu7uX+3lf04aUE961bYyryXnNA4oSCnKLkQNYZohqGQRGOd6EnHF24Vgkw94HXY8uF6rCUfAj4E7ATeYoz5ecFGSOmI8cSIec2hSITBsRCBSBSPy8VHNpzIx1578qyP5/5nj/LtP+3hQP8oCxtKM9/2yOA42zptuOLx/QOMJ/w6arxuzmpvnigEWdykqW5K8fG6XSxrzUsjztyzIESkydlmIB8jypRSM8AA3/jjc3xr84tEogafx0VDtYcqjztnXYlcGQmE6XdU10qVUCTKzsNDVoR+bz8vdE9NdVvaUmP75a1o4YylzVRrqptSBIpqgEXkvcaYH4nIJ5O9HpOYLDSlaIBzqapLR66KbbF4dP9YKKM84mLTNxqc6AiyvbOPIf/kqJbXLZyx9Lh3vLxVU92U2aHQBjhdcKPO+b8hHyOoJHLVlUhF/KRgc42XY8N+rr59J9dBxkZYRGiuraLO56F3JMhYsLTD9K11VbzhtEW84bRFRKKG544OT2RW7OqyqW7b99k85G8DbQ2+ifZMZ7W3UF9dHM1jRcmVOV+IMVPy6QHHe7xD4yHqfG7m1x/v+5arZz0aCNM7Esy63VIpMDQe4rH9A9Yg7+ujdyQ46XWXwGknNE4UgpzUVo9LvWMlTxTVAxaRb0z3+mxpQRSDdGGAfOT3xo4T7/F2DfoZD0bwedwTOca5etZ1Pg+1VW76x0IMjpdHWCJGY42XDacsYMMpCzDGsLdnlK1OqGLHoUFCEcOOQ0PsODTEzQ920lzjZa1TJr22o4WWJL0AFaVUyEYL4lrgC/Gvl6MWRCZkmhucLL8XyCp+m+hJ7+keIRiJUuV2sXKBzfTLV2wZIBCO0DMSJJBpuVIJMx6K8OQB6x1v7ezjsFOdGM/JC+snwhUvWdyoguhKVpRMFoSIPG6MWZOPkWRLPgxwNhNbMw0v5KOoY2g8xOHBcaLGcOqixrTGf6YTdYPjIQbGgkkbjZYrh/qPax4/sX8Af4Lobl2VmzXtLaxfYT3khY3VKfakKJZiT8LFU7a/1GwntmY6wTaTjhuJRR2NNV4CYSvcPjgeSloYko+JuqYaL/U+D/1jQYYSBHbKlSUtNVzcsoSL1ywhGI7y9KHBieyKPT2jjAYjPPBCDw+80APA8tZa1jnG+GVLmvBpqpsyy8yJ6eNsDeNMBXRmYriTxZKrPG6uf8fLUhrTdOeTqXcc05hoqLbZEv4KCEvEqPK4OGt5C2ctb+HKV9nOItv39bNtbx+P7u9n2B9mX98Y+/rGuO3RQ1R5XJy5tIm1ToumZa01muqmFJx0k3DDHPd8a0VkKPYSYIwxjYUcXL7I1jBmM8GWmMEQjkRZ0HD81jad4Z5JKfR05zMT79jncXNCcw3D/hD9o6GyzJZIx4IGH286fRFvOt2muu3uGmZrZx9b9/axu2uYYDjK1s5+tnb289+8yMJGny0E6WhlTXszdb454asos8ycSEObSUw3EwGdxJhv72iAY8NBFtRXMb/el7euy9mcD5BTepwxhoGxEANlli2RC4PjIR7d1z8RrugbnZzq5nYJpzupbus6WjhRU93mDCUzCVdMcjXAhWpHn8wQ9oz4GQ1EaKrx5kX5LBnTnc+//ObpGQvAxxOKROkZCTAerJywRCYYY9jTPepM5vXz9KFBwgkTlS213gljvHZ5K021qnlcqZTSJFzZMpPb/ExIFgqYV+fD48rO2GXLdOezbEstnb0jDI2HJ9LZGms8dMyrT7vfeLxuF4ubahjyh+gbCabsyFFpiAgnttVzYls9l61vZywY5vH9A2zrtB7ykUE//WMhfv/MUX7/zFEEOHlRA+s6rKrbqYsbVfNYyZg5YYAh/5KQkFu3i1xJdT4vX9nK1s4+p505BCNRjg0HuWzdzNTRGqu91Hrd9JRBSXMhqK3ycN5J8znvpPkYYzg0MM5WR2LzyQMDBMJRdncNs7trmB89vJ86n5uz21smKvMWNPiKfQpKCTNnDHAhyFc1XD55aE8fC+qrGPYf94Abqj08tKePmZYtetwuFjVVM+wP0TuHvOFERISlLbUsbanlHWfZVLenDlrveGtnH/t6xxgNRNjyfA9bnrepbh3zaieM8UuXNFHl0UIQ5ThzIgZcSFJN1uVaKDFTcmkCmgnBcJRjw36C4crLlMiVY0P+iVDFo/v7GQ1Mjp9Xe1yc2d7M2uWtrF/RwpJmTXUrdXQSjtmvhMuVQk36ZUIhZTJjGGPoHS2PAo6te/rYtO0AR4bGWdw4e2L1kajh6P9yigAAHOZJREFUmcNDbNtnNY93Hx2ess7ipuoJzeM1y1qoqdJCkFJDDTClmwWRitkwgqmYzXP1hyJ0DwdKVvx9654+brzveTwumdSu6aoLV816x5CBsSCP7uufEBLqH5t88fK4hNOXNE1M5q1cUKfecQlQtlkQIrIMuBVYBESBm4wxN8a9/mngK8ACY0xPocYBMysRzoVCaQVnQqEyPpJR7XWztKWmZPOGN207gMclEw1LYxekTdsOzNgAz9Sjbq6t4jWnLuQ1py4kagwvHBthuxM7jqW6PXFggCcODPDdP++lta6KdY6q29nLW2iq0VS3SqSQk3Bh4FPGmMdEpAF4VET+YIx5xjHOrwP2F/D4E8QM4rA/RPdwgGAkitclDBboFrqY2RFQmIyPVIgILXVV1FS5S84bPjI0TmOCWHu110XX0PiM9hfvUTdWe+gdDXDjfc9zFdl51C4RTl7YwMkLG/jLc9oZCcRS3ayQ0NGhAH2jQe7ZeZR7dtpUt9WLG1i33IYrVi/SVLdKoWAG2BhzBDji/D0sIs8CS4BngK8DnwF+U6jjx7OsxebG9o6EEKfjaShqGPaH2bzrWN6NVSlmRxSamDdcSprDixtr6B0NTHjAAP5QlEWNM2v4WQiPGqDe5+GVq+bzylU21e1A33FVtycPDhIMR3n2yDDPHhnm1of30VDtsaluToum+fWa6lauzEoamoh0AGuAR0TkbcAhY8yTsxXjuvKClVz5o0cxGFwIxnHSWmq9BQlDzGYYoJQQEVrrqqj3We+w2FV071m3jBvve57xUGRSDPg965bNaH/59qiTISK0z6ulfV4tl5y9lEAowpMHj6u67e8bs47Dc91sfq4bgJUL6ljvCNCffoKmupUTBTfAIlIP/BL4ODYs8Xng9RlsdwVwBUB7e3tOY9iwuo16nxt/KDqRGzu/vpqGak/B4rKzGQYoNao8topu2B+ib7R4msPrV7ZyFavYtO0AXUPjLMoxCyLfHnUm+Lxu1q+wecQAXUN+tnf2sXVvP4/t72csGGFP9yh7ukfZtO0A1V4Xa5a12PjxilaWNBdubEruFDQLQkS8wO+Ae4wxXxORlwL3AjGrtxQ4DKw3xnSl2k8+0tCKmZkwl4lEDT0jAUYD5V9FV0pZFQDhSJRnjgzZQpC9fTx/bGTKOkuaa1jrZFac2d486eKhpKds09DExhd+CPQZYz6eYp1OYG26LIh85QEXKzdXoWKq6GJZEPnwqPNN32hwQvN4+77+KZPMXrfw0iVNE0JCK+Zrqls6ytkAnw/8GdiBTUMD+Jwx5s64dTqZJQMMmUlMKvkn9r7v7xtlYWM1l55dOkarUomlum3dazWPnzkyRGIkaF591YTm8dnLmyeawCrHKVsDnE9KuRRZmZ5kdx6BcJSrLlzF2R0txR7enGHEH+bR/Y7m8d5+ukcCk153Caxe1DjRL+/khQ2a6oYaYEANcDmTKva+oN7HxvetpX+s/MMS5YYxhs7eMTuZ19nPUwcHCEUmfwaN1R7OXt7COStaWdvRSmtdVZFGW1zKthKu1CmWWM5cI1VV4KGBcZpqvdRXe+gbDTLsL31diUpBRFgxv44V8+t419pl+EMRnjw4wDZHZvNg/zhD/jD37+7m/t021e2kBfWsW2En815yQiNet6a65YM5aYDz0VVYyYx0VYFul7CgwUe9z0PPSHEr6Yol3FNsqr1uzlkxj3NWzAPgyKDVPN7e2cdj+wcYD0V4oXuEF7pH+OnWA9RWuVmzrHmiEGRxk6a6zZQ5GYLQlLTZI5vsk2jUqqwVwxsutRSzUiEUibLz8BBb9/axvbOfF7qnprotbamZUHU7Y2kz1RWU6qYhiAJQTLGcuUY2VYEuxxuurXLTMxKY1QKOQpUZlztet4szlzVz5rJmrrgAekcCbN9n844f3dfPkD/Mwf5xDvYf4lePH8LrFs5Yetw7Xt5aq6lu0zAnDXCxxXLmGtlWBdb5PPg8LrpnsSnobJQZVwLz6n284bRFvOG0RUSihueODrPNqczb1TVEKGLYvq+f7fv6+TbQ1uCbKAQ5q72F+uo5aXJSMiffjdkQy9FJvtzwOE1BB8dC9I0FCy7uU4wy43LH7RJOXdzIqYsbef/LOxj2h3h0X/9EV5CekSDHhgPcuaOLO3d04RI47YRGpxCklVUL63HNce94TsaAobBFGeninqVunEttfMFwlO6RAIFQ4bxhjQHnF2MMe3tGJ4zxjkODU1Ldmmu8rHU0j9d2tNBSW3qpbpoHTPnlAU83yRfzvku1JLqUS7YHx0IFzRsu5TLjcmc8GOGJAwMTqm6HBqaGdla11bPeiR2/ZHEjnhJIdVMDTPkZ4OkaYy5NEn8upQyMUs8QCUWi9MxibFgpDIcGxidU3R4/0I8/NDn9sK7KzZr2lonKvIWN1UUZp2ZBlCHTTfKVegZGqY/P6z4udVkJ4j5zlSXNNSw5cwkXnbmEYDjK04cH2ba3j237+tnTPcpoMMIDL/TwwAtWJqa9tdb2y1vRysuWNOGrkFQ3NcAFYLpJvo1b9pR0Bka5ZIg0VHup8brpGQkyFix/qcu5TJXHxVntLZzV3sKVQPdwYKJM+rH9/Qz7w+zvG2N/3xi/fOwQVR4XZy5tsqluy1tZ1lpTtqluaoALQLrc11JuV1RO7ZQ8bheLmqqLLvyu5JcFDT7e9NLFvOmli4lEDbu6hiYm83YdGSYYjrK103aYhhdZ2OibUHVb095Mna98zJrGgIvA5l3HuP6uZ9nba2/rV86v47NvXF30Sa4Y5SjbGYkaekcDjPjVG65kBsdjqW52Mq9vNDjpdbdLOO2ERscgt3BiW26pbjoJR2Ua4FLNNCh3xoORomtKKLODMYY9PaNs29vH1s4+nj40RDjhLqil1svajlbWd7Rw9vIWmrNMdVMDTOUZ4FLPNCh3Yhkn/WOl0Z1ZmR3GgmEe3z/A1k6rW3Fk0D/pdQFOXtTAeif3+NTFjWk1jzULogIp9UyDckdEaK6tos7noVcn6eYMtVUezjtpPuedNB9jDAf7xydix08cGCAQjrK7a5jdXcP8z8P7qfO5OXt5C+uW26anCxp8sz5mNcBFoFwyDcodrzNJNxII0zvL4j5KcRERlrXWsqy1lnecZVPddhwatC2aOvvY1zvGaCDClud62PKcTXXrmFc70S/vZUubqfIUvhBEQxBFIBYDDkUiDI6FCESieFwuPrLhRD722pOLPbyKRCfplHiODfmtd7zPqrqNBiYX9vg8VgXu3JXzePuaJXTMy1nVTWPApcQ3/vgc39r8IpGowedx0VDtocrj1om4AqOTdEoikajh2SNDbHUyK57rGibRKj7yudfkWo2nMeBS4qE9fSxtqZkyEbdxyx41wAWkpsrN0pYa+sdCDI7rJJ1iU9dOX9LE6Uua+OvzVjAwFuTRfTbPeHtnH20N1QUrhVYDXCR0Iq54iPz/9u4+Rq7qvOP495n3md3ZF9trs17bMlRUvESpAw51CiKotISgiiZVqsAfidugOKG0xVGqCoKUEtQ/SmiRGqVtoAUVVcglKVBQ1NRQgmNRCYhLDDYyBEPT8O534/V6X336xz1jj4eZ3Z3duXPvnfl9pNXcPXNn7jOzu8/eOfec5xhLenL05IOZdGFWWZPkGSjluPL8FVx5/grSKaOYC2/ac/TlhrrU6sESJ2r+8HUhrr3ymTQjA0WW9ua7vi6t1JcyY3k5vEJASsAR+crl5zA14xibnMa54DauU347XX8x+6HuIJF20G9cA2EXJW9mrTQJX0ZD1iQCSsB1hLlsfdxWm5Az9eYzFLNpDkW0OrN0F3VB1HHP9jfIpo1SLoNZcJtNG/dsf2NRz1tJ7PuOjZ+R2Le9sq9FkbfWtlf2cf29z3LZnT/m+nufjW2crZb2qzMP9xfJxmBVBulcOgOuY7YRCos5g61O7BBMnWzV0LNWn1mH+SkgKTRkTcIW2r93M1ttZk+b2R4ze9nMbvbtd5nZK2b2kpk9amYDYcWwUI1GKPTmM4s6g33z8NgZq+5Ca4aehXFmHdangKSpDFlbOVDomFUYJD7C/Hw1DXzdOXc+sAG4ycwuAJ4EPuKc+yjwc+DWEGNYkEYjFJxzi0pKYQ09CyNZhvXPIqk0ZE3CEFoCds6965x7wW8fA/YAI865J5xzlQn5zwKrwophoa44bzl3XHshy8sFjp6YYnm5wB3XXsjo5MyiklJYQ8/CSJYap1yfhqxJK7Xlt8jM1gIfA56ruetLwEPtiKFZV5y3/EN9nau3L66KWVhDz8KorpakpYnarXrI2qHRSaZPqq6ELEzoCdjMeoGHgc3OuQ+q2m8j6KZ4sMHjNgGbANasWRN2mPOykKRU7+JYq4uuh5EsNU55br35DKVsmoMasiYLFGo1NDPLAj8Etjrn7q5q3wh8FbjSOTfn5+Q4VUNrZr20di49lMR13DrJ+NQM+4+pylqnSeySRBYUz3wAOOSc21zVfjVwN/BJ59z++TxXnBJwM7T0UHfRUkidJ8lLEl0KfAHYZWY7fds3gO8AeeBJX+D4WefcV0OMIzKqeNZdqpdCOnR8kuMTKv4uswstATvnnqF+1v+PsI4ZN1p6qDtl0ylW9BUYm5zm4OikuiWkIc2zDJEqnnW3Ui7DqsEig6XcYpezkQ6lwYyzWOz0Xo0kEDNjsCdHb0HdEvJhWhOugXaOYJDuoW6JZAn7Ipy6IBpQLQQJQ6VbYkDdEoIScEOqhSBhqS7wk8voT7Cb6affgGohSNgqBX6W9OhsuFspATegEQz1dWuR9rBUxg6PDBQpqNxl11ECbqBRRbRuvgCXtBU9kiSXSbFS5S67joahzaJeRbRuFuaKHhLoL2Yp5dIcGJ3gxOTM3A+QRNMZsMybLky2RzadYri/yFA5Tzqls+FOpjNgmbd2Ta3WytGBciFLKZfh4PEJRsc1gaMT6Qy4yyzmIlo7Lkyqn/lM6ZSxvFzQCs0dSj/RLrLY5NaOC5OaAFNfZYXmgVIu6lCkhdQFsUBJ/JjciotoYV+YVAnPxioTOEq5tIq/dwidAS9AUj8mJ+EimibAzK2Q1dlwp1ACXoCkfkxOQnLTBJj5OT2dWX3DSaaf3AIk4UyyniQkN02AaU7lbLi/pttGkkF9wAuQ1JUuklKfWBNgmmNmLO3N05PPcGB0gslp9Q0nhRLwAoSxDPxsWnnBb7bklsQLi3JaIRsU9zkyNsWRE1oYNAnUBbEA7fyY3K4Lfkm9sChnqqzAoeI+yaAz4AVq18fkdtRf2PbKPv70X3/G2OQM+UyKZb15+opZ1XlIsEpxn6Mnpjh8fJKTOhuOJSXgmAt7XGzlzPf45DSZlDE943jn6AkAyoVM7C8syuz6i1l6cmkOaj26WFICjkAzfa1hX/CrnGEXMmmmTzpSKYOTcGB0gkzaYn9hUeaWSadY0Vfg+ESwHt30SV2kiwv1AbdZs32tYQ8dqwypGyrncY7go6o5JqZPxm6ImixOTz5Yj65c0JC1uFACbrO5JnHUFssBQr3gV5mcUS5kWTlQCLohTjpKubTG33agVMoYKuc1gSMm1AXRZm8eHiNt8Mb+USZnTpJLp1jWm+Otw2Onzo6zaTvj7PiOay9ky6YNocRTPaSuN58hnTKmZpySb4erTODQkLVo6V9gm5XzGd4+Ms70SUfan22+fWSc3nwmkinOmnnWvaqHrOU1ZC0SOgNus1NnGpUTDne6PapKYJp51t1ymRQjA0WOjk1xeExD1toptDNgM1ttZk+b2R4ze9nMbvbtS8zsSTN7zd8OhhVDHI1OzjAyUCCTNmacI5M2RgYKHJ+cSUSxHOlc/aUsI4M6G26nMLsgpoGvO+fOBzYAN5nZBcAtwFPOuXOBp/z3XWP1YIlMOsU5Q72cd1Yf5wz1kkmnTtVliHuxHOls2XRwNjxYymFanTl0oSVg59y7zrkX/PYxYA8wAvwu8IDf7QHgM2HFEEezJVn1x0pcDPbkGO4vaKREyKwdVz/NbC2wHfgI8Evn3EDVfYedc7N2Q6xfv97t2LEj1BjbqTIRI84VyUQguDZxeGyKI2OTUYcSiWw6xeolLekCrPtxIvSLcGbWCzwMbHbOfTDfjzVmtgnYBLBmzZrwAoyALnpJUlQvg6RSl60X6ucLM8sSJN8HnXOP+Ob3zWzY3z8M1J0C5py71zm33jm3fmhoKMwwRWQOlVKX6hturTBHQRhwH7DHOXd31V2PAxv99kbgsbBiEJHWqYwbXjlQ0EiJFgmzC+JS4AvALjPb6du+AfwV8H0zuwH4JfD7IcYgVVRwXVohn6kUfp/k8Jhm0S1GaAnYOfcMDTqegSvDOq7U13CaMygJy4IMlHKUcsEySOM149dlfjTGpEskdSVnibdK4felvXlS6htumhJwl0jqSs6SDP3FYBZddd1qmZsScJfQNGcJWzad4qz+AkPlPOmUzobnQwk4hmprArdiYUxNc5Z2KReyjAwU6cnrbHguSsAxE9bqxJrmLO1UWQZpqKy+4dnoX1TMhLkKsmbgSbuVC1mK2TT7Ryc4MamRErWUgGOgenzu/mMTnNWXP+N+XSyTJMukUwz3a9xwPeqCiFhtl4MZvH1knGPjU6f20cUy6QQDpaDCWi6jtFOhdyJiteNzV5QLALx3dFwXy6TjVGpKLO1R3zCoCyJytcsQ9RWzgOO9DyY4emJK5Sql45gZ/aUsPfk0h45PMjoxHXVIkVECjtjqwRL7jo2fMYA9k05x0ZrB0FZCFomDTDrF8r4C5ckZDoxOMDXTfaUu1QURMY3PlW5XzKVZNVhkoAtLXSoBR0zjc0VOF37vtlKX6oKIAY3PFQlUSl0eHZvi0Nhkxw9Z0xmwiMROfymYzlzo8LNhJWARiaVuKHWpBCwisdZfzLKqQ0tdKgGLSOxlOrTUpRKwiCRGuZBl1WCJ3g4pdakELCKJkk4Zy/sKrOgrkEklO4UlO3oR6Vo9+Qwjg0V6C8k9G1YCFpHESqeM5eUCw/1FsunkpbPkRSwiUqOYCyZw9FUVtkoCJWAR6QiplLGsN8/KgeScDScjShGReSpkTxf3iTslYBHpOJXiPiODxVivwBHfyEREFqlS3GdJTzxLXSoBi0hHMzMGSjlGBoqxK3UZWgI2s/vNbJ+Z7a5qW2dmz5rZTjPbYWaXhHV8EZFquUzq1Hp0cTkbDvMM+J+Bq2vavg18yzm3Dvim/15EpG36S0Fxn2Iu+rPh0BKwc247cKi2Gejz2/3AO2EdX0SkkWw6xXB/kWXlaEtdtnsO32Zgq5n9NUHy/41GO5rZJmATwJo1a9oTnYh0lb5CllI2zcHjkxyPYHXmdl+EuxH4mnNuNfA14L5GOzrn7nXOrXfOrR8aGmpbgCLSXTLpFCv6CizvK7S91GW7E/BG4BG//QNAF+FEJBZ685m2l7psdwJ+B/ik3/5N4LU2H19EpKFKqcuz+ttT6jK0VG9mW4ArgGVm9hbwF8CXgb81swwwju/jFRGJk1Iuw6rBNB+MT4V6nNASsHPu+gZ3XRzWMUVEWiWVstDrSWgmnIhIRJSARUQiogQsIhIRJWARkYgoAYuIREQJWEQkIkrAIiIRUQIWEYmIErCISESUgEVEIqIELCISESVgEZGIKAGLiETEnHNRxzAnM9sP/F/EYSwDDkQcw0Ip9ugkOf4kxw7xiv+Ac652keJkJOA4MLMdzrn1UcexEIo9OkmOP8mxQzLiVxeEiEhElIBFRCKiBDx/90YdwCIo9ugkOf4kxw4JiF99wCIiEdEZsIhIVJxzHf8F/ALYBewEdvi2JcCTwGv+dtC3G/AdYC/wEnBR1fNs9Pu/Bmysar/YP/9e/1ib7RhzxHo/sA/YXdUWWayzHaOJ+G8H3vbv/07gmqr7bvXP/Srwqar2q33bXuCWqvazged8nA8BOd+e99/v9fevnesYdWJfDTwN7AFeBm5Oyvs/S+yxf++BAvA88KKP/VutPl4rX1NLc1MYTxq3L4IEvKym7duVHwRwC3Cn374G+JH/xd8APFf1B/KGvx3025U/kueBT/jH/Aj49GzHmCPWy4GLODOBRRZro2M0Gf/twJ/V2fcC/0eX938IrwNp//U6cA6Q8/tc4B/zfeA6v/094Ea//UfA9/z2dcBDsx2jQezD+AQHlIGf+8fH/v2fJfbYv/f+tfX67SxBwtvQquO18jW1PDeFlfTi9EX9BPwqMFz1y/uq374HuL52P+B64J6q9nt82zDwSlX7qf0aHWMe8a7lzAQWWayNjtFk/LdTPwncCtxa9f1WguT0CWBr7X4Ef6gHgIxvP7Vf5bF+O+P3s0bHmOfP4THgt5P2/tfEnqj3HigBLwC/3qrjtfI1zef3ppmvbukDdsATZvY/ZrbJt61wzr0L4G+X+/YR4M2qx77l22Zrf6tO+2zHaFaUsTZ6rmb9sZm9ZGb3m9ngAuNfChxxzk3XieXUY/z9R/3+C4rfzNYCHyM4G0vU+18TOyTgvTeztJntJOi+epLgjLVVx2vla2qpbknAlzrnLgI+DdxkZpfPsq/VaXMLaG+HdsTaitf3D8CvAOuAd4G/meO5FxJ/y16zmfUCDwObnXMfzLZrk8cM/f2vE3si3nvn3Ixzbh2wCrgEOL+Fx2vla2qprkjAzrl3/O0+4FGCH/D7ZjYM4G/3+d3fIrigUbEKeGeO9lV12pnlGM2KMtZGzzVvzrn3/R/YSeAfCd7/hcR/ABgws0ydWE49xt/fDxxqNn4zyxIksAedc4/45kS8//ViT9J77+M9Amwj6ANu1fFa+ZpaquMTsJn1mFm5sg1cBewGHie4Uo2/fcxvPw580QIbgKP+I+FW4CozG/Qf464i6C96FzhmZhvMzIAv1jxXvWM0K8pYGx1j3iqJxfsswftfee7rzCxvZmcD5xJcpPopcK6ZnW1mOYKLII+7oEPuaeBzDeKsxP854Md+/0bHqBenAfcBe5xzd1fdFfv3v1HsSXjvzWzIzAb8dhH4LYLRHK06XitfU2u1ulM5bl8EVz5f5PQQl9t8+1LgKYLhJ08BS3y7AX9H0Ae1C1hf9VxfIhiWshf4w6r29QS/2K8D3+X00KK6x5gj3i0EHxWnCP4L3xBlrLMdo4n4/8U/9iWCX+zhqv1v88/9Kn5EgG+/huBK/uuVn1nVz/N5/7p+AOR9e8F/v9fff85cx6gT+2UEHzNfomrYVhLe/1lij/17D3wU+JmPcTfwzVYfr5WvqZVfmgknIhKRju+CEBGJKyVgEZGIKAGLiERECVhEJCJKwCIiEVEClkQys21m9qmats1m9vcN9l9rZrvr3ScSFSVgSaotBAPqq13n20USQQlYkurfgN8xszycKkCzEnjGzO4ys91mtsvMPl/7QDP7AzP7btX3PzSzK/z2qJnd6Qs3/ZeZXeLPtt8ws2v9Pml/jJ/6IjdfCf/lSidSApZEcs4dJJihdLVvuo6ggPbvERSe+TWCKa131UzHnUsPsM05dzFwDPhLgrKOnwXu8PvcQDAl+OPAx4Ev+6mvIk1RApYkq+6GqHQ/XAZscUEBmveBnxAkyfmaBP7Tb+8CfuKcm/Lba337VQT1GXYSlHxcSlB3QKQpSsCSZP8OXGlmFwFF59wL1C8jWGuaM3/3C1XbU+70/PyTwASAC6qJVapmGfAnzrl1/uts59wTi3kh0p2UgCWxnHOjBKUL7+f0xbftwOd9P+0QwRJJtRW4fgGsM7OUma3mdInG+doK3OjLP2Jmv+or7Yk0JTP3LiKxtgV4hNNdEY8SLC3zIkF1sD93zr3nL9JV/DfwvwTdCrsJlsBpxj8RdEe84MtA7gc+s7DwpZupGpqISETUBSEiEhElYBGRiCgBi4hERAlYRCQiSsAiIhFRAhYRiYgSsIhIRJSARUQi8v+Lau9eT+ef/wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.lmplot( x='Volume', y='High', data=regi_df )\n", "plt.title( 'This is a truly terrible idea!\\n'\n", " + 'This data is not remotely linear!\\n'\n", " + 'A linear model does not belong here!',\n", " fontdict={ \"fontsize\": 15 } )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seaborn won't show you the coefficients of the model, nor measure its goodness of fit; see [the GB213 review](GB213-review-in-Python) for how to do those things in Python.\n", "\n", "Of course, there are some situations where a linear model is reasonable, like the total sales over time plot from earlier. Seaborn restricts us to using only column names in `lmplot`, so we must convert the index to be an actual column in this example." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAFyCAYAAAA6dFtRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO3deZwcdZ3/8denj7kzuS9ykBOj4B0CiIYEXRcBQV2PuB4IrICCor9dD/ZAFnfd1XV1WUEMKyi6SkTWI6usLksSIsiRgByGK5MQksAkM0kmmUnm6un+/v6o6qSn0zPTM9M9XdX9fj4e85jp6urqb3VXv6f6W5/6ljnnEBGRcImUugEiIjJ8Cm8RkRBSeIuIhJDCW0QkhBTeIiIhpPAWEQmh0IS3eV4wM2dmi0rdHikMM9tgZncNMc88/30/vwDP93kzW5FjujOzq0a7/NEws1ea2e/M7IjfnnmlbE8mM7vOzPZl3F7ht/GUUrYryMzs62a2Y5iPyXtbD014A2cA8/y/V5WwHRJunwdW5Jh+BvDTsW3Kcf4FmABcgNee5tI2Z1CP4bVxW6kbUqnCFN4fBI4AD/t/B46Zxc0sWsDlmZnVFGp5MjDn3EPOub0lbsYS4B7n3L1+e3pGspCx2G6cc+1+G7uK+TzDYWa1pW7DWApFePuB+D5gLXAb8Coze00ej/u+mW02s/PM7Gkz6zSzX5vZJDNbZGbr/a+om7OXZ2Z1ZvbvZrbHzLrNbJOZvT1rng1mdpeZXWZm24Bu4AT/vlP85+rwf35qZjOGaO91ZrbPzN5sZpv85b3Pv2+Sma02s71+e35vZqdlPf4v/XYe8uf77+wuJn/ZvzOzdv/ncTN7X+Zr7bdjp5n1mNkWM/vzAV7XPzGzJ/3X8H4zO3m47cmY9zIz22FmXf7rNmuw18p/zF/47esxsxfN7PNDzL8DmAx8yf9q6tJdKNndJhnv7cXmddcdNrMfmlm1mS0zs0f8aRvMbG7W89SY2dfMbJfftifM7NxB2jXPzBywEPis35YNGfdfZWZb/WU1mdlnsx4/4HaT47mWmNkav22d/uv3GTMbVhZYjm4T//bVZvYVM2s1sxYzu8nMqrMeO9dvwwG/Db81s1dkzfPPZvaU/xrvNrMfZX9+/O3lX83s78xsN9A+SHt3mNeN8UUza/a3yX81z7n+69BhZr8ws4lZj53vT2/358n1uZpgZj/2PwvNZvY3A7RjyHXPm3Mu8D/AnwAO7+vkJKAX+Kc8Hvd9oAV4FHgP8GGgDbgL2AxcDrwDeBx4GrCMx/4I6AA+5c/zMyABvDljng14X23/ALwXOBdoBBYBh4B7gXcBf+Yvf1Pmc+Ro73VAJ95X0cuBlcArgGq8r6nbgY8C5wC/9Ns3I+Px3wQuwusWuAC4G9gLjPfvbwQOArf7r+nbgb8EPp6xjH/01/NvgT8FbvFf+w/meF0fBz7gP9fzwJas13DQ9mS8hi8BT/nv0Z8Du4BNGfPM89twfsa0z/nt/Ed/Xb4I9ABXDfL6vt5f/+8Cp/s/jf59LvOxfrt2+7/PBz7pL/8W4AngQ/57uxP4Tdbz/Mp/fT7hv8bfBfqA1w3Qrmq/Lc14293pwKv8+z7ut+1f/WX9E5ACvjjUdjPAc70V+Hvgnf778hm8bfWaIT5L1wH7Mm6v8Nt1SsY0578e3/e3nc/56/35jHkm+fP8AXi//9re77/ntRnz3Yb3DfssvM/Wg3ifoWjGPDv81+z/8Lav9wzS/h3++/kzvM/P3/jt/SbH8uFDePnwnaz3ZjvwHN62/mfAH/G22UkZ8/3cf+zH/df2Pv/5dgxn3cmxrQ+4TqUO5nx+/DeyDajyb/8aeIFBgjAjZPqAhRnTvua/OB/NmHauP+2V/u1X4n1ALsqYJ+K/ab/N+oB3kRGg/vQf+m92Vca0xUASOG+ID4gDLsyafineP6zFGdNieB/WfxlgWVGgFi/gP+pPW+ovf9wAj5mE1zX1pazpdwPP5XhdM9vzLn/ZS/JtT8ZrmABOzJh2pr+sc3Jt0Hj/hA7naOf1wB4yPuA52rEPuC7H9FzhfZD+/2ju9OdbnjHtk/60Ov/2W/3bZ2UtfyPw0yG21x3A17O2uZeA72XN9228wK0ZbLvJ43Nl/nb018D2Iea9jvzCe2PW434BPJRx+8vAfvoH30R/fa4cZNuZleO134EX3jV5rOsOoIn+4f+Ivx3Pz5j2NWBvxu0r/HkWZEybjfd5vMa/fbLftg9kzNMAHKB/eA+57gwjvAPfbeJ/5Xo38HPnXK8/+Q68lTw9j0XscM5lHlRp8n+vyzEt/VX9VLwN++gBLOdcyr/95qzlP+qc25M17W14/4lTZhYzsxjeP5sdeAE6GAf8T47lPQq8kLE88P67H12emZ1uZveY2X68Da4TbyM6yZ9lG17o/djMLjSzCVnPcwpQx/EH7n4CnGRm0zKm7XDObc24/bT/e/Yw2pP2mHPuxaMvgHMP4O25LiO3M4B64Kfp18N/TdYB0zPbMEqbnXOHMm434X1o78+aBn53Gd57tQd4IKtt9zL0e59ttr/cXO9HI/DqjGm5tpvj+F06f29mTXjfJNLfXuZnbFej8b9Zt5+m//vxNuAeoD3jtenA274zt+V3mNc1eAhv29nt35W97dzrnOvOs20bnHPJjNtNeNvxC1nTpppZlX97Gd72uT09g3NuN/AAx7LgVP/32ox5DvvrmSmvdc9X4MMbr8tiAnC33680AW+vqIf8DlwezLrdm2N6elr6IM9M4LBzrjPrsXuBuqw+vFwHuaYAX8D7YGT+LADmDNHetox/UpnLOz3H8i5OL8/vd/1fvH86l+PtvZ6KF4I1AM65Nryv3nG8vchW8/qXF2Ssd651St/O7Asc6HWtybc9GVqOfxloyWhPtin+7y30fz3W+9OHeo3zlWsdO/x/5JnT4Ng6TQFmcPx7dd0I2jXU+zEpY1qu7SaXrwJ/hdf9cy7ee/IP/n2FOMiZ6zXLXO4UvO6H7NdnJce25VPxgnA38BG8f9bpHbXsNg7nIHOutuWaZkA6vGcO8Bx7Ofb6z8DbLrIP3mZv10Ou+3AU4j9tsaUDOlcZ1/vN7LNZ/00LoRloMLO6rACfDnS6/lUAucbUPYC35/3dHPftyzEt00DL24zXh5ot3ZZz8PaaL3TOHQHw/7NnfsBxzj0InGPekfm3Ad8AfsyxPleAaXhf79KmZ7QjX3m1J+P5ck0bqFQu3Y7zyf3Bem4Y7Sy0A3hdHe8qwLIy349Mud6PfMd2fh/wLefc19ITzOy8kTVvRA7gBfOXc9zX4f9+N9CK1w3h9e+YnTjA8vJd75FqxusWyTadY6//HmCcmdVmBXj2+5bPuuct0OFtZg14H9A78PYUMr0eL3hW4h2wKKRNeBvFe4Ef+G0x//b9gzwu7V68LohH0xvfKN2Lt8e80zmXay8VvP7kFN5XzLT3M8B77G9k/+1XC1zjT/4jXtfG+/D6jzOX87xzrnUYbR5Oe95gZnOdczsBzOxMvA3/kQGW/SDesYYTnHO/Hkab4Pg9wUK7F+8g8GHn3LOjXNZu4GW89yOzS+T9eJUVT41gmbUc+4efruQay/Mm7sVr/5Yce6pptUAi67PzoaK3LLeHgY+a2fx094p5lVBvwvs2BV5egHfQ9Cf+PA14B9IzK2DyWfe8BTq8gQvx9t5ucM49nHmHmT2Ad8T4gxQ4vJ1zz5jZHcCNZtaI1w/2cbw63Fx7v9muwwueX5vZbXh727Pw3szvO+c2DLNJP8A7cLLBzL6Od/R7Ml5/3B7n3Dfx+nujwPfM7Fa8vYW/IuNrob+HdQneQaSdfpsu9x+Lc+6Amf0b8Ldm1oe3t/8evK/Xw62tH7I9GVqAX5nZdXjB+lW8fsbf5Fqwc+6gP+8N/h7ZRrwuwJOAlc65dw/SrmeB88zsN3j9/88554a91zOIe4DfAveY2VfxunYagdfhHVi7ZrAHZ3LOpfz1XO0fN7gHr/riE8BfD6OvN7t9V/p93geAK/EqKsbKN/CqvtaZ2bfwvqVMx1uv+51zd/ht/Iy/Lf43XlB+eAzbmOn7eF2g/2Nm1+IVHVyH95leDeCc22Jma4Gb/bxoxqu0ye52zWfd8xb08P4gsDU7uAGccwkzuxP4oJl90o3whIZBfBwvRP4Or8/9KbwjwEPueTvnnjez0/H6Em/B25N4Ce8/b9Ngjx1ged1mthJvb/jv8d7wFrx/EGv9eZ4ys4uBL+F97XwCb4/tJxmLasL7RvEVvD3bVryytr/OmOdavL3lT/jP0wR82Dm3Zphtzqc9aQ/i/QP+N2Aq3jGNy4ZY/tfM7GXgs3h7ut145Yq5lp/pc8BNeBVLdXjf3Dbks075cM45M3sP3mv6GWAuXkg+DnxrBMv7D/8Yy2eAq/H2xv/S/4c9Ep8CvoP3GnThlY3+nOO/2RaFc26f/9n4R7wyvQl4YXc/8KQ/z91m9gW/rR/H2z7Ox3t/x5RzrsfM0t2Lt+L1h2/AK0vM7Lb6GHAz3jZ8GO/13YT3bT29rCHXfTisMN/qRURkLIWh2kRERLIovEVEQkjhLSISQgpvEZEQCnq1yYicc8457je/yVllJiJSClboBZblnve+fUOdxCgiEm5lGd4iIuVO4S0iEkIKbxGREFJ4i4iEkMJbRCSEFN4iIiGk8BYRCSGFt4hICCm8RURCSOEtIhJCCm8RkRBSeIuIhJDCW0RkED19yVI3IaeyHBJWRKQQDhzpBaA6Fi1xS46nPW8RkRwOdvZysLO31M0YkMJbRCRLe3fi6F53UCm8RUQyHO7pY19HT6mbMSSFt4iIr6s3SWsIght0wFJEQmLDsy2s3ridXW2dzJlYx+XLF7BiybSCLb87kWRvezfOuYIts5i05y0igbfh2RauXbuFlo5uJtTGaeno5tq1W9jwbEtBlt/T5wV3KiTBDQpvEQmB1Ru3E48adVUxzLzf8aixeuP2US87kUyx91APyVR4ghsU3iISArvaOqmN96+1ro1H2d3WOarlJpIp9hzqpi+VGtVySkHhLSKBN2diHV2J/mc6diWSzJ5YN+JlpoM7kQxfcIPCW0RC4PLlC0gkHZ29fTjn/U4kHZcvXzCi5YU9uEHhLSIhsGLJNK6/4GSmjavhUFeCaeNquP6Ck0dUbZJIpmg+GO7gBpUKikhIrFgybdSlgb194e3jzqY9bxGpCOUU3KA9bxGpAL19KZoPdYWuHHAwCm8RKWs9fUn2HOouq+AGdZuISBkr1+AG7XmLSJlKj1VSjsENCm8RKUPdCW+PO0xjlQyXuk1EpKyEcZCpkVB4i0jZKOc+7mwKbxEpC+k67koIblB4i0gZqLTgBoW3iIRcmId1HQ2Ft4iEVnqQqUoLblB4i0hI9VXoHneawltEQqcvmaI55ONxj5bCW0RCJZlyFR/coPAWkRBJphwvH+yq+OAGhbeIhIS3x63gTlN4i0jgpfzg7u1TcKcpvEUk0FIpR3N7t4I7i8JbRAIrlXLsae+mJ5EsdVMCR+EtIoHknBfc3QrunBTeIhI4Cu6hKbxFJFCcc+xt76GrV8E9GIW3iARGOrg7e/tK3ZTAK2p4m9lnzWyLmf3RzO4wsxozm29mD5vZVjP7iZlV+fNW+7eb/PvnZSznGn/6c2b2p8Vss4iUhnOOlg4Fd76KFt5mNgv4NLDUOXcKEAVWAV8FvumcWwy0AZf6D7kUaHPOLQK+6c+Hmb3Kf9zJwDnAt80sWqx2i0hptHb0cKRHwZ2vYnebxIBaM4sBdUAzcDZwl3//7cC7/L8v9G/j3/9WMzN/+hrnXI9z7gWgCVhW5HaLyBhqae/msIJ7WIoW3s65l4CvAzvxQvsQ8Chw0DmXfpd2A7P8v2cBu/zH9vnzT86cnuMxR5nZZWa22cw2t7a2Fn6FRKQoWjoU3CNRzG6TiXh7zfOBE4B64B05Zk1ft8gGuG+g6f0nOHeLc26pc27p1KlTR9ZoERlTLR3dHO5WcI9EMbtN3ga84Jxrdc4lgJ8BbwIm+N0oALOBl/2/dwNzAPz7xwMHMqfneIyIhJBzzusqUXCPWDHDeydwupnV+X3XbwWeBtYD7/XnuQj4pf/3Wv82/v3rnHPOn77Kr0aZDywGHiliu0WkiNKnvKurZHRiQ88yMs65h83sLuAxoA/4A3AL8GtgjZn9gz/tVv8htwI/NLMmvD3uVf5ytpjZnXjB3wdc6ZxT9b5ICPUlU+zRIFMFYd7ObXlZunSp27x5c6mbISIZevtS7G0P3xVwJtRVMam+arSLyXXsblSKtuctIpLWnUiyt72bZKr8dhZLReEtIkV1pKePlo4eyvFbfikpvEWkaNq7E+zr6Cl1M8qSwltEiqLtSC9tnb2lbkbZUniLSMG1dvTQ0Z0odTPKmsJbRApGQ7qOHYW3iBRE+uo3uojC2FB4i8iopc+a1GXLxo6upCMio6LgLg3teYvIiKVSjub2bnoU3GNO4S0iI5L097gV3KWh8BaRYUumHM2HujTAVAmpz1tEhkXBHQwKbxHJm4I7ONRtIiJ56UumaD4UviFdy5X2vEVkSAru4FF4i8igFNzBpPAWkQEpuINL4S0iOSm4g03hLSI5tR7uUXAHmMJbRI7TdqRXowMGnMJbRPrp6k3qCjghoPAWkaN6+1K0dHSXuhmSB4W3iADeAco9h7pJpnSV9zBQeIuIf9p7N30pHaAMC50eL1LhVBIYTtrzFqlgCu7w0p63SIVK+H3cCu5wUniLVKCevqQOToacwlukwnT1Jtnb3k3KKbjDTOEtUkG6E0n2tHfjFNyhpwOWIhUi3VWi4C4PCm+RCtDb5x2cVFdJ+VC3iUiZ08HJ8qTwFilj3Ymk9rhHKahnnarbRKRMHe7po1nBPSoPbd/P+25+kA3PtZS6KcfRnrdIGWo70qthXUdhd1sn396wjYe2HwDgK3c/w1knTcXMStyyYxTeImXEOUdrRw+He/pK3ZRQ6uzt4z8f2sldj+6mzz9GsGz+JL584SmBCm5QeIuUjWTKsbe9m+6EroAzXCnn+L+n93LL717gwBHvG8uMxhquWLGAd77mBCY3VJe4hcdTeIuUAY1TMnLPNLdz4/omnmnuAKA6FuHPl83l/UtnUx2PBm6PO03hLRJyiWSK5oMai3u4Dhzp5T9+t53fbtl7dNrKV0zl8uULmNZYU8KW5UfhLRJiCu7hSyRT/Oyxl/jhQy/S6V9keeHUeq46exGvnT2hxK3Ln8JbJKQU3MP38Av7uWn9Nna3dQHQWBPjkjfP57xXzyQaCWb3yEAU3iIhlO7jVnDnJ7v0L2JwwWtP4GNvmkdjbbzErRsZhbdIyPTp4GTecpX+vX7uBK5auYj5U+pL3LrRUXiLhEh6gCntcQ8uV+nf9MZqPnHWQt6yeEpgK0iGQ+EtEhIaYCo/z+5p58Z1TTydUfr3wWVz+MDSOVTHoyVuXeEovEVCQANMDe3AkV5uvf8F/uePe45OW/mKqVy2fAHTQ1D6N1wKb5GAU3APLlfp34Kp9Xxq5SJeOyc8pX/DpfAWCbCuXl22bDC5Sv8uPnM+578mfKV/w6XwFgkoBffAXmrr4qYNTWVV+jdcCm+RAFJw55Yu/fuvx3aTSHqvzevmTOCqlQtZMLWhxK0bWwpvkYDpTiTZq+DuJ+Uc//dMC/+xcTv7y7T0b7iKGt5mNgH4LnAK4IBLgOeAnwDzgB3A+51zbea9+jcA5wKdwMecc4/5y7kI+Ft/sf/gnLu9mO0WKRUdnDxepZT+DVex97xvAH7jnHuvmVUBdcBfA/c65/7ZzL4IfBH4AvAOYLH/cxpwM3CamU0CvgQsxfsH8KiZrXXOtRW57SJjSsHdX67SvxUnTeXys8qz9G+4ihbeZtYILAc+BuCc6wV6zexCYIU/2+3ABrzwvhD4gfO+Kz5kZhPMbKY/7z3OuQP+cu8BzgHuKFbbRcaagvuYRDLFz//wEj988EWOVFDp33AVc897AdAKfM/MXgs8ClwNTHfONQM455rNbJo//yxgV8bjd/vTBprej5ldBlwGMHfu3MKuiUgR6eDkMZt2HODGdU3sqsDSv+EqZnjHgDcAn3LOPWxmN+B1kQwk1zvjBpnef4JztwC3ACxdulSfAgmFIz19tHT0VHxwv9TWxbc3bOPB7fsBr/Tvna89gYsrqPRvuIoZ3ruB3c65h/3bd+GF914zm+nvdc8EWjLmn5Px+NnAy/70FVnTNxSx3SJj4mBn79FBkypVV2+S/3z4Re56NLP0bzxXrlzEwgor/RuuooW3c26Pme0ys1c4554D3go87f9cBPyz//uX/kPWAleZ2Rq8A5aH/ID/LfAVM5voz/d24JpitVuk2JxztB7u4XB35V7h3fmlf7dklP5NG1fNJ1YsZHmFlv4NV7GrTT4F/MivNNkOXAxEgDvN7FJgJ/A+f9678coEm/BKBS8GcM4dMLMvA5v8+a5PH7wUCRtd4R2e29PBt9Y18XRzOwBVsQgfPHUOHzh1DjUVXPo3XFaOfW1Lly51mzdvLnUzRPrp7Uuxt71yL6KQLv37zR/3HD1odZZf+jcjwKV/E+qqmFRfNdrFFPyrhM6wFBkDlTwWdyKZ4hd/eIkfZJb+TfEu+Ps6lf6NmMJbpMgqObg37TjATeu3sfNAJ5Au/ZvH+a85QaV/o6TwFimi9GXLKi24XzrYxc0btvH7bRmlf685gY+dOY/xKv0rCIW3SJGkr/BeScGt0r+xo/AWKYL0Fd4r5ULBA5X+XXHWQs46SaV/xaDwFimwvmSK5kOVU1Xy/N4O/v3e/qV/q06dwyqV/hWVwlukgCopuNs6e7n1d96of+mOoeUnTeGK5QuZMT64pX/lQuEtUiCVEtx9yRQ/f/xlfvD7Hf1K/65cuZDXz504xKOlUBTeIgVQKcGdXfo3ribGxW+axztfq9K/sabwFhmlSghulf4Fj8JbZBTS5YDlGtxdvUl+9PCL/DSj9O+1s8dz1dkq/Ss1hbfICHUnkrS095RlOaBzjnufbWH1xu3sP6zSvyBSeIuMQDlfROH5vd6of1teVulfkCm8pWxt8Pccd7V1MmdiHZcvX8CKJdOGfuAgnHO0dSY42Fl+F1Fo6/Qv+PtURunf4ilcsWJhoEf9q1QKbylLG55t4dq1W4hHjQm1cVo6url27RauhxEHeCKZoqWjh54yG4u7L5niF4+/zO0P7uBIj7du86fUc5VK/wJN4S1lafXG7cSjRl2Vt4nXVcXo7O1j9cbtIwrvju4E+w/3lt3V3TftOMC312/jxYzSv4+9aR4XqPQv8BTeUpZ2tXUyIauErTYeZXdb57CWk0w59h3u4UhPeV2y7GW/9O+BjNK/814zk0veNJ/xdSr9CwOFt5SlORPraOnoPrrnDdCVSDJ7Yl3eyyjHK9909Sb58SM7uXPzrqOlf6+ZPZ5PrVzEwmkq/QsThbeUpcuXL+DatVvo7O2jNh6lK5EkkXRcvnxBXo/vTiTZ2x6O4Vwf2X6ANZt20dzexczGWladOodlCyb1m2fg0r8FnHXSVJX+hZDCW8rSiiXTuB6v73t3Wyezh1FtcrCzl7bORCjKAB/ZfoAb1m0lFjEaa2LsP9LDDeu2cjWLjwb483s7uHFdE3/MLP1bOodVy1T6F2YKbylbK5ZMG9bByd6+FK2Hw1VNsmbTLmIRo9YP4fS3jDWbdrF4RkPu0r+zNOpfORh2eJtZBGhwzrUXoT0iJXGkp4/Wjp7QVZM0t3fRWNP/Y1wdM7a1dvDR2x7pV/p35cqFvEGlf2Ujr/A2sx8DVwBJ4FFgvJl9wzn3L8VsnMhYONSZYP+RnlI3Y0RmNtay/0jP0T3vI7197G3voc/vq1fpX/mK5Dnfq/w97XcBdwNzgY8UrVUiYyA9qFRYgxtg1alz6Es5OroTvHSwi5cOdtOXchjwztfO5AcXL+Pdr5+l4C5D+XabxM0sjhfeNzrnEmYWru+XIhnCdFByMK+ePZ4l08ex4fnWo/3a8yfXc825S1ik0r+ylm94rwZ2AE8AG83sREB93hI6zjlaO3o4HPKTbnKV/k1t8Er/VrxCpX+VIK/wds79O/DvGZNeNLOVxWmSSHH0JVPsLYOxSVT6J5D/AcvpwFeAE5xz7zCzVwFnALcWs3EihdLVm6S1I9xjbx/s7OW2B3bw6yebVfoneXebfB/4HvA3/u3ngZ+g8JaAK4chXPuSKX75xMvc/vsXj3b3zJtcx1VnL1LpXwXLN7ynOOfuNLNrAJxzfWYW7u+eUvaO9PRx4EhvqMcm2bzjADdt2MaL+70BtRqqY1x8ZulL//I5JV+KK9/wPmJmk8H7tmZmpwOHitYqkVFIJFPsO9xDV2949y9ePtjFzfdt44Gm4I36l88p+VJ8+Yb3/wPWAgvN7AFgKvDeorVKyk4xrmqTS3t3ggMhHne7K5Hkxw8fP+rfVSsXBab0b7BT8hXeYyffapPHzOws4BWAAc855xJFbZmUjWJc1SZbKuVoDfG428451j3byuqN29iXUfp3+VkLWBmw0r9cp+TXxCPsae8qUYsq06DhbWbvGeCuk8wM59zPitAmKTOFvqpNtp4+7yruYe3b3rq3gxvXN/HUS17pXzxq3gV/l809uncbJNmn5AN0J1LMaKwtYasqz1B73u8c5D4HKLxlSIW6qk22VMpxsCvBoa5wnimZq/TvLYuncMVZC5g5PrhBuOrUOdywbitdiSQ18QjdiRR9KceqU+eUumkVZdDwds5dPFYNkfJViKvaZHLO0d7dx8HO3lBcLCFbuvTv+78/dsHfeZPruGrlIt5wYvBL/5YtmMTVLGbNpl3sae9ihqpNSiLvIWHN7DzgZODo2QDOueuL0SgpL6O9qk2msJf/PfpiGzeub+pX+vexN83jwteFa9S/ZQsmKaxLLN8zLL8D1AErge/iVZo8UsR2SRkZ6VVtUilHR3cfh3v7SKUcyZQLbRVJdumfAee/ZiaXnFn60j8JJ8unr9DMnnTOvSbjdwPwM+fc24vfxOFbunSp27x5c6mbISOUTDkOdSVo70qENqzTcpX+vXpWI1etXMTi6eNK3DoZSnU8ysS6eL8uvxEq+NeqfFvU7f/uNLMTgAPA/EI3RipbIkr4TjAAABpjSURBVJmivStBR3df6EM7Xfp3y8bttB72xgsPaumfHBMxo64qSl11jLp4lEiAu7LyDe//NrMJwL8Aj+FVmvxH0VolZS2ZciSSqaPdIMmU40hvMvSj/aU1tRzmW+u2hqb0r9LFoxFqq6LUVUWpjUdD84813/B+Fkg65/7LH1HwDcAvitcsKQfOOXqTKXr6UvT6P+nQLkeHOhPc9sAL/CpkpX+VJh6NUF8do64qSlU0Eui968HkG95/55z7qZm9GfgT4F+Bm4HTitYyCZVkytGXSpFIOnoSSXr6vNAOY/31cCVTjl8+7pX+pUf9O9Ev/XtjCEr/ylnEjKpYhHg0QlUsQnUsUjZjnucb3unvs+cB33HO/dLMritOkyTIUqmsvelkikRfKvR91CP1mF/6t6Nf6d+JXPDaE4hF871ErBRCLOIFdPqn2g/tcpVveL9kZquBtwFfNbNq8r94sYRQussjkXT9ujzCWl9daM2Hurh5w3bub9oHHCv9u/jMeUyoqypt4ypALOL1U6dDOszdHyOVb3i/HzgH+Lpz7qCZzQQ+V7xmyUD6kiky93HTm2vmQZZj046/L1vSr5/uSx3rl+7p8053roQuj+HqSiRZ88hO1mxS6d9YiZgRixpV0cjRg4vl0vUxGvmOKthJxjgmzrlmoLlYjap0fek93uSxvd2+pCtIoGYHuQI6P8451j/Xyur7jpX+TWmo4oqzFqr0r4C8PWnvQGI8ZsSj5d31MRqjrjyXkXHOkUi6o+Gc7qIodv+xwnr4vFH/tvHUS971R+JR4/1L5/Dnp6n0bzTMjLi/R10di1JXHVVQD4PCu8jSB/gS6XBOel0T6pYIvlylf29e5JX+nTBBpX/5SJ/0UlMVJR6JEI8a0Yjpm0oBKLxHKJU+wcQ5UilI+iebpFJe90Z6j7pca5rLmUr/RsbMiEWMar/rozruHUxUUBeHwjsH5wdxOpATfd7ec1+qcH3PEkzZpX/11VFv1D+V/uUUjRgN1TEaamJURRXUY0nhncO+w710dOsqb5Vkz6Fubr5vG7/beqz077zXzOQSlf4dJ+pfv7KuOkZ9VXhOJy83RQ9vM4sCm4GXnHPnm9l8YA0wCW+clI8453r92vEfAG8E9gMfcM7t8JdxDXAp3slCn3bO/bbY7ZbKkKv075QTGvnU2Sr9y1Qdj1IXj6pML0DGYs/7auAZoNG//VXgm865Nf444ZfinWp/KdDmnFtkZqv8+T7gj6WyCu9CECcA/2dmJznnymMUIykJ5xwbnmtl9cbttHQcK/27fPkCzl4yTXuTeGV7DdUx6qtjFVsFsuHZFlZv3M6utk7m5DkO/Vgpanib2Wy8U+r/Efh/5n0izgb+3J/lduA6vPC+0P8b4C7gRn/+C4E1zrke4AUzawKWAQ8Ws+1Svra1HOZb65t4cndW6d+yudRWVfZeZTqw66piVMUqM7DTNjzbwrVrtxCPGhNq47R0dHPt2i1cD4EI8GLvef8b8Hkg/f1zMnDQOdfn394NzPL/ngXsAnDO9ZnZIX/+WcBDGcvMfIxI3g51Jrjt9y/w6yebSRcBnbloMp84a2FFl/4psHNbvXE78agdvRBDXVWMzt4+Vm/cXt7hbWbnAy3OuUfNbEV6co5Z3RD3DfaYzOe7DLgMYO7cucNur5SvnKV/k+q4cuVCls6rvOswRiNGTTxKTSx6dHwQOd6utk4m1Pa/RF1tPMruts4Stai/Yu55nwlcYGbn4l20uBFvT3yCmcX8ve/ZwMv+/LuBOcBuM4sB4/Gu2JOenpb5mKOcc7cAt4B3GbSirJGEzmM727hp/TZe2HcE8Er/LjpjHu96XeWU/ln6RJl4lJq4V4MtQ5szsY6Wju5+l0DrSiSZPbGuhK06pmhbr3PuGufcbOfcPLwDjuuccx8C1uNdwBjgIuCX/t9r/dv4969zXjH1WmCVmVX7lSqL0cWPZQh7DnXzpbVb+KufPskL+454pX+vnskPL1nGe984uyKCu746xvTGGuZNrmN6Yw3ja+MK7mG4fPkCEklHZ28fznm/E0nH5csXlLppQGnqvL8ArDGzfwD+ANzqT78V+KF/QPIAXuDjnNtiZncCTwN9wJWqNJGBdCeS3PHITn6yeTe9fd7wtaec0MhVZy/ipAoo/YtGjHE1cRprYhXxD6qYViyZxvV4fd+72zqZHbBqk7yuHh82o716fGtHj07SCRnnHPc938p37qvM0r94NEJjbZxx1bGKG9c6JEp29XiRwNrWcpgb1zfxRIWV/kUjRn11jIbqmE6cqUAKbwmtQ10JvvfADn715MvHSv8WTuaKFQuZVaalf2ZGfVX06AV0y/0bhQxM4S2hk0w51j7hlf51dFdG6V+tH9gNVeoWEY/CW0Klkkr/4tHI0RH7KvX0dBmYwltCYc+hbr5z3zY2Zoz6d+6rZ3Lpm8tr1D8zo746SmNNXP3YMiiFtwRadyLJmkd2sWbzrqOlfyf7o/6VU+lfVSzCuBpVi0j+FN4SSLlG/ZvcUMUVAS/9e2T7AdZs2kVzexczG2tZdeocli3I3Q8fMa9apLE2ppNnZNgU3hI4YS39e2T7AW5Yt5VYxGisibH/SA83rNvK1SzuF+A18SjjarwSv6D+E5LgU3hLYOQc9S9EpX9rNu0i5l9lBrxBjLoSSdZs2sUZiybTUB1jXE1cA0FJQSi8K9BwvtqPhYFK/z65ciGnhqj0r7m9i8aa/h+puqoorYe7mTupTnvZUlAK7wqT71f7sfKHnW3cWCalfzMba9l/pIe6qhgR886A7EokmTupXsEtBafwrjCDfbUfy/De0+6X/j1/rPTvHa+ewaVvns/EkJb+feT0uXzz3q0kkknqqmJ0JZKBGoVOyovCu8Lk+mpfE4+wp71rTJ6/2/9HsWbTsdK/V830Sv9eMSOcpX9VsQiT66tZsLSByQ3VgR2FTsqLwrvCpL/a12acANKdSDGjsbgHBL1R//bxnfu29Sv9u3z5At4a4NK/wdTEo4yvjVNffexjtGLJNIW1jAmFd4VZdeocbli3la5Ekpp4hO5Eir6UY9Wpc4Z+8Ahtaz3Mjev6l/69742z+dBpJwa69C+XWCRCXXVUI/lJySm8K8yyBZO4msWs2bSLPe1dzChitcmhrgTff2AH/50x6t+bFk7mEyEp/UuLRyPUV8eor47qZBoJDIV3BVq2YFJRD04mU45fPfky33tgB+1+6d+cibVcdfaiUJX+1VXFmFCnMUYkmBTeUlCP7zrIjeua2J4u/auK8tE3eaV/YRgZL32Bg0adTCMBp/CWgtjT3s3q+7Zz3/OtgF/6d8oMLn1LOEr/auJRGmvj1OsCBxISCm8Zle5Ekp9s2sUdWaV/n35rOEb9a6iJ6arqEkoKbxmRnKV/9VVctnwBb3tl8Ev/6qtjTKyrUteIhJbCW4ZtW+thblrfxOO7jpX+vfeNs/nQaXOpqwr2JtVQHWN8nfa0JfyC/UmTQBmw9O+shcyaGNzSv/TVaSbWVYXioKlIPhTeMqSBSv+uXLmIZfODXfrXUBNTaEtZUnjLoJ7YdZBvrW9ie2tG6d8ZJ/Ku188KdCDWVcWYWK/uESlfCm/Jaa9f+rchq/TvkjfPZ1J9MEv/4tHI0SvUhG04WZHhUnhLPz0Zo/71HC39G8dVZy9iyYzGErcut3g0woS6OONq4qVuisiYUXgL4JX+bdzqlf7tbT9W+vdxv/QvErDSPzOjvirKuJp46Aa3EikEhbewvfUwN67fxuO7DgLBLv2LmNFYG2d8bZxoJFj/UETGUrA+mTKm2rsSfP/3O1j7xLHSvzMWTOaTK4JZ+je+Ns6EuiqFtggK74qUTDl+/VQzt93/QihK/6rjUaY0VKlyRCSDwrvChKn0z8yYWOftbYtIfwrvCpGr9O+cU7wL/gax9K8qFmHquGrtbYsMQOFd5noSSX6yeRd3PBKO0r/03vb42njgB7cSKSWFd5lyzvG7rfu4OaP0b1LGqH9BK/0Db9CoifU6lV0kHwrvMrS99TA3bdjGH3Z6pX+xiFf69+HTg1f6B1Bb5Q0apcuNieQveJ9kGbFcpX+nL5jEJ1csZPbEutI2LodYJMKkhioaqrUZigyXPjVlIFfp3+yJtVy5ciGnzZ9c4tYdz8wYVxNjUl0VEdVsi4yIwjvkntjtXfB3m1/6V+eX/r07gKV/4HWRTKpXzbbIaCm8Q6qlvZvVG7ez/rnWo9PeEdDSv/Q4JI21cfVrixSIwjtkcpX+vXLmOK5auYhXzgxe6V91PMq0cdWB/BYgEmYK75AYsPTvLfN526umB7L0b1xNnCkNVarXFikChXcIvLDvCDeubwpN6V8sEmFyQxX1qiIRKRp9ugKsozvB93//Ir98/KV+pX+fOGshcyYFr/TPzBhfG2dinc6OFCk2hXcADVT698kVCzl9QTBL/xprYhquVWQMKbwDJlfp30dOP5H3vCGYpX91VTGmNFTpmpEiY0zhHRC5Sv/OOXkGf/GW4JX+gdevPbFe140UKRWFd4n1JJLcuXk3P35k59HSvyUzxvGps4NZ+hePRhhfF2dcdUz92iIlpPAuEeccv2vax3c2bGdPezfglf59/C3z+ZMAlv7FIhEm1Cu0RYJC4V0CuUr//uwNs/jw6ScGsrxuQl2VKkhEAiZ4SVHGOroT3P77F/lFRunfafO9Uf+CWPoXMWNaY3Uga8lFKp0+lWMgmXLc/VQzt4ak9A+8AaSmNOi0dpGgUngX2ZO7D3Ljum00tR4GvNK/D59+In8W0NK/eNQ7O1J72yLBVrRPqJnNAX4AzABSwC3OuRvMbBLwE2AesAN4v3OuzbwO1RuAc4FO4GPOucf8ZV0E/K2/6H9wzt1erHYXSq7Svz89eToff8uCQJb+ATTUxJjaUK2+bZEQKObuVR/wl865x8xsHPComd0DfAy41zn3z2b2ReCLwBeAdwCL/Z/TgJuB0/yw/xKwFHD+ctY659qK2PYR60kkufPR3dzx8E66Q1D6B94ZkpPqqxhfq5ptkbAoWng755qBZv/vDjN7BpgFXAis8Ge7HdiAF94XAj9wzjngITObYGYz/Xnvcc4dAPD/AZwD3FGsto+Ec477m/Zz84ZtR0v/JtbF+fhbFvD2k4NX+pdWFYswdVy1Lo4gEjJj0rFpZvOA1wMPA9P9YMc512xm0/zZZgG7Mh6225820PTs57gMuAxg7ty5hV2BIezYf4Sb1jXxaEhK/0CDSImEXdGTxcwagP8CPuOcax8kKHLd4QaZ3n+Cc7cAtwAsXbr0uPuLIWylf2lVsQhTGqp1VRuRECtqeJtZHC+4f+Sc+5k/ea+ZzfT3umcCLf703cCcjIfPBl72p6/Imr6hmO0eSjLl+J8/NnPr/Ts41JXwGjWxlk+ctZAzFgaz9C9NJ9yIlIdiVpsYcCvwjHPuGxl3rQUuAv7Z//3LjOlXmdkavAOWh/yA/y3wFTOb6M/3duCaYrV7KE/tPsS31jfR1BKO0r+0aMSYOk4n3IiUi2J+ks8EPgI8ZWaP+9P+Gi+07zSzS4GdwPv8++7GKxNswisVvBjAOXfAzL4MbPLnuz598HIstXb0sHrjdtY923J0WtBL/9Li0QgzxtcE+p+LiAyPecUd5WXp0qVu8+bNI358a0cPHd1ed0hvX4o7N+/ixxmlf6+YMY5PB7j0L1N1PMqMxhpdJEGktAr+AdR36AE453igaT8337eN5kPhKf3LVFsVZfq4GiIKbpGyo/DOYXvrYb72m2f7lf695w2z+EiAS/+yNVTHmDpOZ0uKlKtwJNEY6e1L8U//8ww/+P2LJP3upGXzJvLJlYuYG+DSv2zja+NMbqgudTNEpIgU3hniUWPr3sMknQv8qH8DmVxfzfg6neYuUu4U3hnMjC+981WsfeJlznv1TKpi4anO0NjbIpUlPOk0RhZPH8dHz5gXquCORSLMnFCj4BapIPq0h5xquEUqk8I7xKpiEWaOr1UNt0gFUniHVF1VjGnjqlXDLVKhFN4h1FgbZ4pKAUUqmsI7ZFQKKCKg8A4NM29UwIaQnOEpIsWlJAgBM2O6arhFJIPqywJOwS0iuSi8A25KQ5WCW0SOo1QIKDNjSkMV42p0cFJEjqfwDqB4NMK0xmqqY7pAsIjkpvAOmPrqGFMbdPKNiAxO4R0gE+uqmBjw62GKSDAovANANdwiMlxKixKLmDG9sYbaKvVvi0j+FN4lFItEmD5eByZFZPgU3iWicbhFZDQU3iUQj0aYOb6GmIJbREZI4Z1hw7MtrN64nR37jzB9XA2rTp3DsgWTCvoc2RdQSD/nrrZO5kys4/LlC1ixZFpBn1NEyo92/Xwbnm3h2rVbaOnoZnxNjP1Herhh3VYe2X6gYM9RVxXjhKzgTj/nhNo4LR3dXLt2CxuebSnYc4pIeVJ4+1Zv3E48at44ImbUxqPEIsaaTbsKsvxxNXFmjK/pd/JN5nOaeb/jUWP1xu0FeU4RKV8Kb9+utk5q4/2rPmriEfa0d4162Q01MaaOO/7KN7meszYeZXdb56ifU0TKm8LbN2diHV2JZL9p3YkUMxprR7XcuirvdPd8n7MrkWT2xLpRPaeIlD+Ft+/y5QtIJB2dvX3gHF2JJH0px6pT54x4mbVVUaY3VmOWe5ySzOd0zvudSDouX75gxM8pIpVB4e1bsWQa119wMtPG1dDe3cfk+mquPnvxiKtNaquizGisGTC4s5/zUFeCaeNquP6Ck1VtIiJDMudcqdtQcEuXLnWbN28e8eNbO3ro6E6M+PH5BLeIVJSCh4H2vAtMwS0iY0HhXUA18SjTxym4RaT4FN4FUhWLMKOxRhdREJExofAuAG+skloFt4iMGYX3KKUHmYoquEVkDCm8RyEW0eiAIlIaSp0RikUizJyg4BaR0lDyjEA0YrqQgoiUlNJnmNLBXRXTSycipaMEGoZ0cOuakyJSarqSTp5ikYj2uEUkMBTeedDFgkUkaBTeQ9DFgkUkiBTeg6iOe4NM6QQcEQkahfcAavzg1invIhJECu8c6qqi1FVVaXRAEQkshXcO9dV6WUQk2HQUTkQkhBTeIiIhpPAWEQmh0IS3mZ1jZs+ZWZOZfbHU7RERKaVQhLeZRYGbgHcArwI+aGavKm2rRERKJxThDSwDmpxz251zvcAa4MISt0lEpGTCEt6zgF0Zt3f700REKlJYwjvX2TKu3wxml5nZZjPb3NraOkbNEhEpjbCE925gTsbt2cDLmTM4525xzi11zi2dOnXqmDZORGSshSW8NwGLzWy+mVUBq4C1JW6TiEjJhOI8cOdcn5ldBfwWiAK3Oee2lLhZIiIlE4rwBnDO3Q3cXep2iIgEQVi6TUREJIM554aeK2TMrBV4cRSLmALsK1BzgkzrWV60nsG1zzl3TiEXWJbhPVpmttk5t7TU7Sg2rWd50XpWFnWbiIiEkMJbRCSEFN653VLqBowRrWd50XpWEPV5i4iEkPa8RURCSOEtIhJCFRPeZjbHzNab2TNmtsXMrvanTzKze8xsq/97oj99iZk9aGY9ZvZXWcsK5FV9CrWOAy0nKAr5Xvr3R83sD2b2q7Fel8EUeJudYGZ3mdmz/vLOKMU65VLg9fysv4w/mtkdZlZTinUaCxUT3kAf8JfOuVcCpwNX+lfj+SJwr3NuMXCvfxvgAPBp4OuZCwn4VX0Kso6DLCcoCrWeaVcDzxS3ySNSyPW8AfiNc24J8FqCtb6F+mzO8qcvdc6dgjcO0qqxWYWxVzHh7Zxrds495v/dgbfxzsK7Is/t/my3A+/y52lxzm0CElmLCuxVfQq1joMsJxAK+F5iZrOB84DvjkHTh6VQ62lmjcBy4FZ/vl7n3MExWYk8FPL9xBuvqdbMYkAdWUNHl5OKCe9MZjYPeD3wMDDdOdcM3kYETBvi4aG4qs8o13Gg5QROAdbz34DPA6kiNbEgRrmeC4BW4Ht+99B3zay+iM0dsdGsp3PuJby98Z1AM3DIOfe/xWxvKVVceJtZA/BfwGecc+0jWUSOaYGqtyzAOhZ0OcUy2vaZ2flAi3Pu0YI3roAK8D7EgDcANzvnXg8c4VgXRGAU4P2ciLe3Ph84Aag3sw8XtpXBUVHhbWZxvI3jR865n/mT95rZTP/+mUDLEIsZ8qo+pVSgdRxoOYFRoPU8E7jAzHbgdX+dbWb/WaQmj0gBt9ndzrn0t6e78MI8MAq0nm8DXnDOtTrnEsDPgDcVq82lVjHhbWaG1+f3jHPuGxl3rQUu8v++CPjlEIsK7FV9CrWOgywnEAq1ns65a5xzs51z8/Dex3XOucDsqRVwPfcAu8zsFf6ktwJPF7i5I1bAz+ZO4HQzq/OX+VaCdWC2sJxzFfEDvBmve+NJ4HH/51xgMt6R7K3+70n+/DPw9ljagYP+343+fecCzwPbgL8p9boVeh0HWk6p168Y72XGMlcAvyr1uhVxm30dsNlf1i+AiaVevyKt598DzwJ/BH4IVJd6/Yr1o9PjRURCqGK6TUREyonCW0QkhBTeIiIhpPAWEQkhhbeISAgpvEVEQkjhLVIA/miTImNG4S0Vx8y+nDlGuZn9o5l92sw+Z2abzOxJM/v7jPt/YWaP+uNEX5Yx/bCZXW9mDwOBGR9bKoPCWyrRrfinXZtZBO/U+L3AYrwhf18HvNHMlvvzX+KceyOwFPi0mU32p9cDf3TOneacu38sV0AkVuoGiIw159wOM9tvZq8HpgN/AE4F3u7/DdCAF+Yb8QL73f70Of70/UASbzAlkTGn8JZK9V3gY3jjZNyGN4jRPznnVmfOZGYr8EarO8M512lmG4D0pbW6nXPJsWqwSCZ1m0il+jlwDt4e92/9n0v8MaUxs1lmNg0YD7T5wb0E7zJdIiWnPW+pSM65XjNbDxz0957/18xeCTzojSbKYeDDwG+AK8zsSeA54KFStVkkk0YVlIrkH6h8DHifc25rqdsjMlzqNpGK41+ZvAnvyuQKbgkl7XmLiISQ9rxFREJI4S0iEkIKbxGREFJ4i4iEkMJbRCSE/j9C6epj9HDAsAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "grouped_df['year'] = grouped_df.index\n", "sns.lmplot( x='year', y='sales', data=grouped_df )\n", "plt.title( 'A more reasonable time for a linear model',\n", " fontdict={ \"fontsize\": 15 } )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you know from GB213, part of assessing whether linear regression is appropriate involves inspecting the residuals (the difference between each data point and the linear model). Seaborn makes this easy, too." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.residplot( x='year', y='sales', data=grouped_df )\n", "plt.title( 'Residuals' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What if I have only one column of data?\n", "\n", "The primary visualization tools appropriate for such a situation are variations on the idea of a histogram. These include a standard histogram plus swarm plots, strip plots, and violin plots. A secondary visualization in this situation is an ECDF, which we will return to below.\n", "\n", "We can plot a standard histogram with `plt.hist()`, but this doesn't work very well for very small data sets. It can also suffer from \"binning bias,\" which distorts the actual distribution through the approximation inherent in clustering points into bars. But if you have a large number of data points distributed smoothly along the horizontal axis, it works well.\n", "\n", "When labeling a histogram, the $y$ axis is almost always \"frequency\" and the title should typically mention the idea of a \"distribution.\"" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.hist( sales_df['sales'] )\n", "plt.xlabel( 'Sales' )\n", "plt.ylabel( 'Frequency' )\n", "plt.title( 'Distribution of Quarterly Sales' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib's built-in `plt.hist()` works fine, but to up your histogram game, consider checking out [Seaborn's `sns.distplot()`](https://seaborn.pydata.org/generated/seaborn.distplot.html), which also shows histograms, but with handy options for commonly-desired additional features.\n", "\n", "To remove the problem of binning bias, you can try a swarm plot. This works well with a small-to-medium number of data points, but becomes unmanageable for large datasets, because it attempts to give each data point its own visual space. Also, data points are just plotted *close* to where they actually belong, so the distortion of a histogram's binning bias has been reduced, but not fully removed. The picture is still an approximation of the actual data, but still much more accurate than a histogram.\n", "\n", "Note that in a one-column swarm plot, there is no horizontal variable, and thus we do not label that axis." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.swarmplot( y='sales', data=sales_df )\n", "plt.title( 'Distribution of Quarterly Sales' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A swarm plot can get quite wide if there are many data points clustered in a small area. If your data has this problem, try using a strip plot, which keeps a constant width everywhere.\n", "\n", "This comes at a price, however. Some data points are stacked on top of one another, so you won't really be able to see as much variation in density. You can combat this problem by choosing `alpha=0.5` or some smaller number, so that overlapping data points show variations in color.\n", "\n", "Finally, a strip plot uses random jittering to place the points, so it won't always look the same each time you render it!" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.stripplot( y='sales', data=sales_df )\n", "plt.title( 'Distribution of Quarterly Sales' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, if you have enough data, you may want to simply smooth it out into curves instead. This is not a faithful representation of sparse data, but it can be a faithful representation of a very large dataset." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAD7CAYAAACWq8i5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO3deXxU9b34/9d7MtkTEkISdkiAsKnggopaFesGVm2/92pve7+t67fUe+vSVtTaXttbW39Xe2u1VGvdrWJdsWrdEEVBbaEgakB2skAgLAlJyDrr+/fHOQkBAiSQmZOE9/PxmEdmzvmcM++ZJPOez3I+H1FVjDHGmM7weR2AMcaY3sOShjHGmE6zpGGMMabTLGkYY4zpNEsaxhhjOs2ShjHGmE6zpGG6TET+JCJ3dNO5RohIg4gkuI8/FJH/1x3nds/3tohc2V3n68Lz/lpEqkRkW7yfO5ZE5CkR+XWcn3OaiFTE8znNgVnSMHsRkTIRaRaRehGpFZG/i8h1ItL2t6Kq16nqrzp5rvMOVkZVN6lqhqpGuiH2/xaROfucf4aq/vlIz93FOIYDNwMTVXXQAcpki8hDIrJNRJpEZEWsk1t3J+TDeP6fikip+yWhQkRe8CoWc/j8XgdgeqRLVPU9EckCzgZ+D5wKXN2dTyIiflUNd+c5e4iRQLWq7uhop4gkAe8BO4DTgArgXODPIpKlqrO7MxgREUC64TwJR3DslcB3gfNUdaOIDAIuPdKYjAdU1W52a7sBZTj/2O23nQJEgWPdx08Bv3bv5wJvALXALuAjnBrsM+4xzUADcCtQAChwLbAJWNRum98934fA/wD/BOqA14Acd980oKKjeIHpQBAIuc/3Rbvz/T/3vg/4L6Ac5wP7aSDL3dcax5VubFXAzw7yPmW5x+90z/df7vnPc19z1I3jqQ6OvdZ9/vR9tv8bsBvIdB8rMKbd/vbve3/3fd8J1Lj3h7Ur+yFwF/CJG8+zQARoceN6wC03Hpjv/u7WAt/c5/keAt4CGt3X1j6GlThfMFrLJ7rv2/EdvOYHgPsP8n5eDawG6oES4Pvt9u31eweGAHPd114K3LjP3+oy933cDvzO6/+pvnaz5ilzSKr6T5xvw2d2sPtmd18eMBD4qXOIfhfnw/cSdZqfftPumLOBCcCFB3jKK4BrcD4cwsAhv3mr6jvA/we84D7f5A6KXeXezgFGARk4H2btfQUYh/PN/+ciMuEAT/kHnMQxyn09VwBXq+p7wAxgqxvHVR0cez7wtqo27rN9LpAGTD3wK23jA57EqdWMwEkM+76W7wIzgUyc1/0RcL0b1/Uiko6TMP4C5APfBv4oIse0O8e/4ySfTODjfc7/NPCddo8vAipV9fMO4l0MXCEit4jIlA5qLTuAi4F+OAnkPhE5cd+TuM2kfwO+AIbi/J5+KCKtf0u/B36vqv2A0cCLHcRijoAlDdNZW4GcDraHgMHASFUNqepH6n7lO4j/VtVGVW0+wP5nVHWl+6F6B/DNI2kaaef/4nzzLFHVBuB24Fsi0r6Z9peq2qyqX+B8MO2XfNxY/g24XVXrVbUMuBfnQ7ozcoHKfTeq01RXhZOAD0pVq1V1rqo2qWo9zgf72fsUe0pVv1TVsKqGOjjNxUCZqj7pllmOk7gua1fmNVX9RFWjqtqyz/FzgItEpJ/7+Ls4NcyO4p0D3IDzRWEhsENEftJu/5uqulEdC4F36fhLyslAnqreqapBVS0BHgW+5e4PAWNEJFdVG1R1cUfxmMNnScN01lCcJox9/S+wAXhXRErafxAcxOYu7C/HafbI7VSUBzfEPV/7c/txakit2o92asKpjewrF0jq4FxDOxlHFU6i3YubvHJxml0OSkTSRORhESkXkd04TX3Z+yTXQ73PI4FT3QEPtSJSi5NY23feH/AcqroVp/nrX0UkG6eG9exByj+rqucB2cB1wJ2tNQQRmSEii0VklxvHRXT8Ox8JDNkn5p+y53d4LTAWWCMiS0Xk4kO8B6aLLGmYQxKRk3E+EPdtnsD9pn2zqo4CLgF+LCLntu4+wCkPVRMZ3u7+CJxvj1U47epp7eJKYO9v5Yc671acD5325w7jtH13RZUb077n2tLJ498DZrjNQ+39q3vef7qPm2j3etn7w/xmnGa0U92mmLPc7e07vPd9P/Z9vBlYqKrZ7W4ZqvofBzlmX3/GaaK6HPiHqh7yPXBrpC8BxcCxIpKMU8P5LTBQVbNx+lE66rzfDJTuE3Omql7knnu9qn4bp7ntHuDlDt5ncwQsaZgDEpF+7je154E5qrqigzIXi8gYd4TObpzO1tbhs9tx2vy76jsiMlFE0oA7gZfVGZK7DkgRka+JSCJO53Nyu+O2AwXthwfv4zngRyJSKCIZ7OkD6dIILjeWF4G7RCRTREYCP8ZprumMZ3D6gV4SkQIRSXS/cc8GfqOqdW65z4F/F5EEEZnO3s1PmTj9GLUikgP8ohPPu+/v4w1grIh8140hUUROPkg/TkdeBU4EbsLp4+iQiFzl/t4yRcQnIjOAY4AlOLW2ZJwaVtjdd8EBTvVPYLeI3CYiqe57c6z7xQYR+Y6I5KlqFGdwBuz5ezTdwJKG6cjfRKQe51vdz4DfceDhtkU435wbgH8Af1TVD919/wP8l9uMMKsLz/8MziidbUAKcCOA+2H6n8BjON/qG3E+fFu95P6sFpHlHZz3Cffci3BG3bTgtLMfjhvc5y/BqYH9xT3/IalqAGck0macD81m4B3gfuCX7YrehFN7a202erXdvvuBVJxaz2L3+EP5PXCZiNSIyGy3L+QCnP6ArTjv9z3snYgP9VqacWoJhcArBym6G6cZaZP7en4D/IeqfuzGcSNOIq7B6Xx//QDPF8F5T47H+R1W4fw9ZLlFpgNfikiD+3q/1UFfjDkCcug+S2NMLLm1prdxEuFVnRhI0KOIyM+Bsar6nUMWNr2e1TSM8Zg7sulfgY04/RS9hts0di3wiNexmPiwmoYx5rCIyPdwmsmeUdXrvI7HxIclDWOMMZ1mzVPGGGM6zZKGMcaYTuvTs9zm5uZqQUGB12EYY0yv8umnn1apaofT2fTppFFQUMCyZcu8DsMYY3oVESk/0D5rnjLGGNNpljSMMcZ0miUNY4wxnWZJwxhjTKdZ0jDGGNNpljSMMcZ0WsyThog8ISI7RGRlB/tmiYiKSK77WERktohsEJHi9msEi8iVIrLevV0Z67iNMcbsLx41jadw5rjfi4gMB87HmV+/1Qyc9RmKgJnAQ27Z1kVmTgVOAX4hIv1jGrUxMbRmzRqefvppamtrD13YmB4k5klDVRfR8drS9wG3svdykl8HnnYXl1+Ms+bxYJzF6Oer6i5VrQHm00EiMqa3ePDBB3niiSdYuHCh16EY0yWe9GmIyKXAFlX9Yp9dQ9l7IfsKd9uBtnd07pkiskxElu3cubMbozam+zQ1NQNQX1/vcSTGdE3ck4a77vPPgJ93tLuDbXqQ7ftvVH1EVaeo6pS8vA6nTjHGc03NTQDs3r3b40iM6RovahqjcdYT/kJEyoBhwHIRGYRTgxjeruwwnLWLD7TdmF6prm63+7PO40iM6Zq4Jw1VXaGq+apaoKoFOAnhRFXdhrOY/BXuKKqpQJ2qVgLzgAtEpL/bAX6Bu82YXicUCtHU2ABgHeGm14nHkNvngH8A40SkQkSuPUjxt4ASYAPwKPCfAKq6C/gVsNS93eluM6bXqampabu/s6rKw0iM6bqYT42uqt8+xP6CdvcV+MEByj0BPNGtwRnjgerqagCiialUWdIwvYxdEW5MnLWO6ouk57O7ro5gMOhxRMZ0niUNY+Js+/btAEQy8oE9ScSY3sCShjFxtm3bNiQhkWj6AGBPEjGmN7CkYUycbdu2DU3OIJqU0fbYmN7CkoYxcba1spJwYgaalAEiVFZWeh2SMZ1mScOYOFJVKiu3EU3OAJ8PSc6wpGF6FUsaxsRRQ0MDLc1NRJMzAQgnZlBZac1TpvewpGFMHLX2X6jbnxFNzmBrpc2IY3oPSxrGxFFr0ogmu0kjKZ3amhrC4bCXYRnTaZY0jImjHTt2AKBJ6W0/VdWu1TC9hiUNY+KoqqoKxIf6UwCIJqbt2W5ML2BJw5g42rVrF5KcBuIsEaNJTtJonY/KmJ7OkoYxcVRTU0MkIaXtsfpTAVtXw/QeljSMiaOamhqi/vZJw7lv62qY3sKShjFxtHt3PZqQtGeDz4ckJNpa4abXsKRhTBw1NDag/qS9NyYm09DQ4E1AxnRRPFbue0JEdojIynbb/ldE1ohIsYj8VUSy2+27XUQ2iMhaEbmw3fbp7rYNIvKTWMdtTCy0NDejvsS9tqkvkaamJo8iMqZr4lHTeAqYvs+2+cCxqjoJWAfcDiAiE4FvAce4x/xRRBJEJAF4EJgBTAS+7ZY1ptcIhUJEIhFI2DtpRH1+mpubPYrKmK6JedJQ1UXArn22vauqrZfALgaGufe/DjyvqgFVLcVZK/wU97ZBVUtUNQg875Y1ptdoTQz71jSiYknD9B49oU/jGuBt9/5QYHO7fRXutgNt34+IzBSRZSKyzK6yNT1JS0uLcyfBv/cOn5+mJksapnfwNGmIyM+AMPBs66YOiulBtu+/UfURVZ2iqlPy8vK6J1BjusGemsbeSUMT/DS3WNIwvYP/0EViQ0SuBC4GzlXV1gRQAQxvV2wY0DoF6IG2G9MrtCWNhI46wu06DdM7eFLTEJHpwG3AparaftjI68C3RCRZRAqBIuCfwFKgSEQKRSQJp7P89XjHbcyRaGxsdO4k7DPkNiGJZhs9ZXqJmNc0ROQ5YBqQKyIVwC9wRkslA/PFmYNnsapep6pfisiLwCqcZqsfqGrEPc/1wDwgAXhCVb+MdezGdKfWC/h0n6Sh/iSCwQDBYJCkpKSODjWmx4h50lDVb3ew+fGDlL8LuKuD7W8Bb3VjaMbEVetUIZqYstf29lOJ5Ofnxz0uY7qiJ4yeMuaosGvXLhBpSxKtNDF1z35jejhLGsbEyfbt25GkNJC9/+2i7tKvrQs0GdOTWdIwJk62VlYSTszYb3vr0q9bt9qAQNPzWdIwJk42lW8iktJv/x3+ZCQplc2bN++/z5gexpKGMXFQV1dHXV0t0ZTsDveHk7MoKSmJc1TGdJ0lDWPiYP369QBE0wd0uD+SmsPGkhJnQkNjejBLGsbEwdq1awGIpOV0uD+SPoBgIEB5eXk8wzKmyyxpGBMHX375JaRmwT7DbVtF0p3rM1avXh3PsIzpMksaxsSYqrJixUpCaQeeQFNT+iGJKaxcufKAZYzpCSxpGBNjmzZtor5+N5HMQQcuJEIwPZ/PPv8ifoEZcxgsaRgTY8XFxQCEMwcetFwkcyDbKrdSVVUVj7CMOSyWNIyJsS+++AJJSkOTO7hGo51IxqC28sb0VJY0jImxzz7/gmB6PkhHa4ntEU0fgCQksmLFijhFZkzXWdIwJoZ27NhBddVOIhkHb5oCQHyE0/MotqRhejBLGsbE0KpVqwCIZHRuyvNwRj6lJSVtq/wZ09NY0jAmhtauXQviI3qAi/r2FUnPRVXZsGFDjCMz5vDEPGmIyBMiskNEVrbbliMi80Vkvfuzv7tdRGS2iGwQkWIRObHdMVe65de764sb0+OtX78eTesPvoROlY+mOdOMWNIwPVU8ahpPAdP32fYT4H1VLQLedx8DzMBZF7wImAk8BE6SwVkm9lTgFOAXrYnGmJ6spLSM8AEmKeyIJqYh/iTKyspiF5QxRyDmSUNVFwH7Lkn2deDP7v0/A99ot/1pdSwGskVkMHAhMF9Vd6lqDTCf/RORMT1KS0sLu6qriKZkdf4gESLJWTZNuumxvOrTGKiqlQDuz9ZewqFA+/+WCnfbgbbvR0RmisgyEVm2c+fObg/cmM7avn07ANHkzC4dF0nOYGvltliEZMwR62kd4R0NZNeDbN9/o+ojqjpFVafk5R14rh9jYq31S4smpXfpOE1Mp7qqCtUO/8SN8ZRXSWO72+yE+7N1ceQKYHi7csOArQfZbkyPVVdXB4AeYGbbA9HEFEKhIC0tLbEIy5gj4lXSeB1oHQF1JfBau+1XuKOopgJ1bvPVPOACEenvdoBf4G4zpseqr68HQP3JXTqutXzr8cb0JP5YP4GIPAdMA3JFpAJnFNTdwIsici2wCbjcLf4WcBGwAWgCrgZQ1V0i8itgqVvuTlXdt3PdmB6l9QI99XXt30x9iXsdb0xPEvOkoarfPsCuczsoq8APDnCeJ4AnujE0Y2KqrXmpy0nDv/fxxvQgPa0j3Jg+IxQKgfgOOVHhfnzOv2U4HI5BVMYcGUsaxsRIOBxGOnkl+F7E+bcMhULdHJExR86ShjExEg6H22oNXSJW0zA9lyUNY2LEaZ7qek1D3WOCwWB3h2TMEbOkYUyMtLS0QMJhjDVxjwkEAt0ckTFHzpKGMTHS1NREtIsjp2DPkNvGxsbuDsmYI2ZJw5gYqa2rI+Lr2oV9YBf3mZ7NkoYxMVK1swpNTO36gT4/kpBIVVVV9wdlzBGypGFMDITDYXbu3EE0OaPrB4ugyZls22Yz3Zqex5KGMTGwZcsWotFo19bSaCeUnMnGjSXdHJUxR86ShjExsHbtWgCiabmHdXw0LZdt2yqtX8P0OJY0jImBL774AvEnEU09vJpGJMNZl2zFihXdGZYxR8yShjHdTFVZvHgJwcwhbVd3d1UkIx9JSGTJkiXdHJ0xR8aShjHdbNWqVVRXVxHOHn7owgfiSyCYOYSFCxfZdCKmR7GkYUw3e/fdd5EEP+H+I4/oPOHc0dTW1vDpp592U2TGHDlLGsZ0o/r6et6ZN49g9khISDqic4WzhiNJqcx95ZVuis6YI+dp0hCRH4nIlyKyUkSeE5EUESkUkSUisl5EXhCRJLdssvt4g7u/wMvYjenI66+/TqClheCgY4/8ZL4EWvIm8M8lSygpseG3pmfwLGmIyFDgRmCKqh4LJADfAu4B7lPVIqAGuNY95FqgRlXHAPe55YzpMerr6/nLX54jkjWMaNqAbjlnMH8C4k/iscce65bzGXOkvG6e8gOpIuIH0oBK4KvAy+7+PwPfcO9/3X2Mu/9cka4uiWZM7DzzzDM0NjbQMmxK953Un0zLwOP4+9//zueff9595zXmMHmWNFR1C/BbYBNOsqgDPgVqVbV1uEgFMNS9PxTY7B4bdsvv93VORGaKyDIRWbZz587YvghjXOvXr+fll18mmFtENC2nW88dHHQMpGTy23t/Z2tsGM952TzVH6f2UAgMAdKBGR0U1dZDDrJvzwbVR1R1iqpOycvL665wjTmgcDjMPb/5DepPJjD8lO5/Ap+fphGnUbF5E08//XT3n9+YLvCyeeo8oFRVd6pqCHgFOB3IdpurAIYBW937FcBwAHd/FrArviEbs7/HH3+cDevX0zR8Kvg7NxV68qbFJG9a3OnniGQNIzRgDM8++6w1UxlPeZk0NgFTRSTN7Zs4F1gFfABc5pa5EnjNvf+6+xh3/wJV3a+mYUw8LV68mOeee45g3jjCOYWdPs7XtAtfU9e+87SMPA1N6ccv7/wVNTU1XQ3VmG7hZZ/GEpwO7eXACjeWR4DbgB+LyAacPovH3UMeBwa4238M/CTuQRvTTllZGb/85Z1oWg6BEafG/gkTEmkcNY3a2jp+9rP/suVgjSc8HT2lqr9Q1fGqeqyqfldVA6paoqqnqOoYVb1cVQNu2Rb38Rh3vw1cN57ZtWsXt/3kJ7REoHHMeXAYy7oejmjaAJoKz2TVqi/5zW9+QzQajcvzGtMqPn/pxvQhu3fv5sc3z2LHzioaxk5HD2ehpSMQzikk0LKb999/n8zMTG666SZs9LmJF0saxnRBQ0MDt9x6K2Xl5TSNOY+oO4V5vAUHT0IiAV599VVSUlL4/ve/b4nDxIUlDWM6qba2lptvnsXG0hKaR51DJGvooQ+KFRECw06GaJjnn3+eQCDADTfcgM/n9fW6pq+zpGFMJ2zbto1Zt9zCli2VNI0+l8iRTHveXUQIjDgNfH7++te/0tDQwK233kpiYqLXkZk+zL6WGHMIa9as4fvXXceWyh00jr2gZySMVm6NIzD0RObPn8+sW26xJWJNTFnSMOYgPvjgA2648UbqWqI0jL+ISOYgr0PanwjBIcfTXHgWxcUruO4//oPNmzd7HZXpo7qcNETEJyL9YhGMMT1FOBzmj3/8I7/85S8JJGfTMP5rRFP7ex3WQYVzx9A49kK2bq/iezNn8tFHH3kdkumDOpU0ROQvItJPRNJxrtpeKyK3xDY0Y7xRXV3NzTffzIsvvkgwfwKNY2egialeh9UpkcxB1E+4lKaEDO644w4efvhhWy7WdKvO1jQmqupunGnK3wJGAN+NWVTGeGTJkiVcdfU1FK/8kubCswiMPA18CV6H1SWanEHjuBkE88bx3HPPccONN7Jt2zavwzJ9RGeTRqKIJOIkjdfcCQZt3ifTZwSDQR566CFuu+02docTaJhwKeHcMV6Hdfh8fgIFZ9A8ahpr1m3gmmuvZeHChV5HZfqAziaNh4EynOnLF4nISGB3rIIyJp5KS0v5/nXX8cILLxDMG0/DhIuJpmZ7HVa3CA8YRf2ES2mQNH7xi19w991309jY6HVYphfrVNJQ1dmqOlRVL1JHOXBOjGMzJqai0Shz585l5syZlFVU0lR0HoGC0+M2j1S8aEo/Gsd9jcDgybwzbx7XXHMtK1as8Dos00t1tiN8oIg8LiJvu48nsmeacmN6nR07djBr1i384Q9/oDltIPUTv04ke4TXYcWOz0dw2Ek0jbuI7XVN3HjjjTz66KOEQiGvIzO9TGebp54C5uGssAewDvhhLAIyJtYWLFjAVVdfzWdfFNMy8nSai85HE9O8DisuIplOggwMKOLZZ5/l+9ddR1lZmddhmV6ks0kjV1VfBKLQtkZ3JGZRGRMDDQ0N3HXXXdx55500SDr1Ey8llD8ejraJ/hISCRR+heYx51K6aQvf+973eOWVV7A1zUxndDZpNIrIANwRUyIyFaiLWVTGdLOVK1dy9TXXMP+99wgMOYHG8RehKVleh+WpcP+R1B/zDZrTBjJ79mxuvfU2du2yFZTNwXU2afwYZ7nV0SLyCfA0cMORPrmIZIvIyyKyRkRWi8hpIpIjIvNFZL37s79bVkRktohsEJFiETnxSJ/f9H2RSIQ5c+Zw4403snN3C43jv0Zw6AkgNoMOgCam0Vx0Pi0jprLs0+Vcc821LFu2zOuwTA/W2dFTy4GzgdOB7wPHqGpxNzz/74F3VHU8MBlYjbOM6/uqWgS8z55lXWcARe5tJvBQNzy/6cNqamqYNesWHnvsMQLZI6mfeKln61/0aCKEBk6kYcLF1ASUWbc471kkYi3QZn8HHVsoIv9ygF1jRQRVfeVwn9idv+os4CoAVQ0CQRH5OjDNLfZn4EOcdcO/DjytTsPrYreWMlhVKw83BtN3rVq1ijvu+Dm7amppKTiDUO7Yo6/voouiaTk0TLiElE2LmTNnDqvXrOHnd9xBVtbR3Yxn9naoAemXHGSfAoedNIBRwE7gSRGZDHwK3AQMbE0EqlopIq1fDYcC7afurHC37ZU0RGQmTk2EESP68BBKc0Bvv/02v733XiL+VBrHf41o+gCvQ+o9EhJpKTyTSEY+ny5fzPe+N5O77/4fRo0a5XVkpoc4aNJQ1atj/NwnAjeo6hIR+T17mqI60tHXxP2Ge6jqI8AjAFOmTLHhIEeRaDTKE088wZw5c4j0G0LT6GngT/E6rF4plDeOSGoOO0oW8J8/+AG/uvNOTj75ZK/DMj1Ap3sDReRrInKriPy89XaEz10BVKjqEvfxyzhJZLuIDHafczCwo1359qvfDAO2HmEMpo8Ih8PcddddzJkzh2DuWJqKLrCEcYSiGXk0jL+YZknltttu4+233/Y6JNMDdPaK8D8B/4YzYkqAy4GRR/LEqroN2Cwi49xN5+JMu/46e642vxJ4zb3/OnCFO4pqKlBn/RkGIBAIcMcdd/D+++8TGHoSgYIzwNbK7haalE7D+IsIZQ7mnnvu4ZVXjqRF2vQFnZ1k53RVnSQixar6SxG5lyPrz2h1A/CsiCQBJcDVOInsRRG5FtiEk6DAmZL9ImAD0OSWNUe5QCDA7T/9Kcs//ZSWkacRyp/gdUh9T0ISTWPOI7XkQ2bPnk0gEODb3/6211EZj3Q2abS4P5tEZAiwCyg80idX1c+BKR3sOreDsgr84Eif0/QdwWCQ//qvO1j+6ac0F55JOLfI65D6Ll8CzaPPIaVkEQ8//DCJiYlcdtllXkdlPNDZpPE3EckG/hdYjtMB/WjMojLmEMLhMHfeeSdLl/6TloIzLGHEg/hoGXUWohEeeOABUlJSuPjii72OysRZZxt+1wARVZ0LPAgsBl6NWVTGHISq8rvf/Y6PP/6YluGnEsobd+iDTPcQH82jphHOGsa9997LokWLvI7IxFlnk8YdqlovIl8BzseZ9dauyDaeePTRR3nrrbcIDJ5MaNAxXodz9HGbqiLpefzyzjv57LPPvI7IxFFnk0brfAJfA/6kqq8BSbEJyZgDe/755/nLX/5CMG8cwaE2/ZhnEhJpLDqfcFImP7n9dtasWeN1RCZOOps0tojIw8A3gbdEJLkLxxrTLf72t7/xpz/9iVBOIYGRp9m0IF7zJ9NYdCEBkrh51i2UlJR4HZGJg85+8H8TZxGm6apaC+QAt8QsKmP28dprr3HvvfcSyR5GS+FZNkttD6FJaTQUXUBjKMqNN93Ehg0bvA7JxFhnZ7ltUtVXVHW9+7hSVd+NbWjGOJ3eL7zwAvfddx/h7BE0jT4XfAleh2Xa0ZR+NIydQUNQuemmH/Lll196HZKJIfu6ZnqscDjM7373Ox566CHC/QtoHn2OJYweSlP60TBuBo0RHzfd9EPef/99r0MyMWJJw/RI1dXVzLrlFv72t78RGDTJEkYvoMmZNIy/mGDqAH71q1/x2GOPEQ6HvQ7LdDNLGqbH+eijj7jqqqv54osVNBeeSXD4FOv07iU0MYXGsRcSzC1izpw5/OAH11NRUeF1WKYbWdIwPUZNTQ1333zJm28AABqhSURBVH03d9xxB7ujSTRMvNSu9O6NfAkECs+kefQ5rCsp5ZprruXll1+2Wkcf0dlpRIyJmVAoxF//+leefPIpmltaCAyeRHDICdYc1cuFcwqpz8gntewTHnjgAV57/XVuuvFGpkzpaLo501tY0jCeiUQiLFq0iMcef5wtFRWEs4bRMvpUNNWWF+0rNCmdpqLz8dduYnPFUmbNmsVpp53GNddcQ1GR1SJ7I0saJu7C4TALFizg6WeeoWLzZkjNpqnofCLZww99sOl9RAj3H0l91jCStq9k8dLl/OMf/+DUU6dy5ZVXMHHiRK8jNF1gScPETWNjI/PmzePFl15iW2UlmpZDy+hzCPcfaRfrHQ18CQQHTyaYN56kHav55/LPWbJkMSeeeBKXXfavnHrqqSQkWJNkT2dJw8RcSUkJr776KvPmvUsg0EI0I5/AmHMJZ4+wUVFHI38ywSHHExx4DIk71vDZyi9Zvvyn5OcP5P/8n29w0UUXkZVlTZQ9lThrG3kYgEgCsAzYoqoXi0gh8DzOVCXLge+qatCd7+pp4CSgGvg3VS072LmnTJmiy5Yti2n8pmNNTU0sWrSIN996ixXFxYgvgWD/QoL5E4hm5HkdnudS17wFQPP4izyOpAeIRvHXlpO0YzUJ9dvw+xM555xpzJgxg+OPPx6fLd0bdyLyqap2OGKhJ9Q0bgJWA/3cx/cA96nq8+7a5NfiTMN+LVCjqmNE5FtuuX/zImDTsWg0yueff84777zDwoWLCARaIKUfgWFTCOWORRNTvA7R9EQ+H+GcQsI5hfiaakjcsZr3PljI/Pnzyc3LY/qFFzJ9+nSGDRvmdaQGj2saIjIM+DNwF/Bj4BJgJzBIVcMichrw36p6oYjMc+//Q0T8wDYgTw/yAqymEXuqysaNG1mwYAHvzp9P1c6diD+JQHYB4dwxRDIGWhNUB6ymcQjRMP6achKrN+DfvRVUmTBxIuefdx5nn302AwYM8DrCPq0n1zTuB24FMt3HA4BaVW29CqgCGOreHwpsBnATSp1bvqr9CUVkJjATYMSIETEN/mhWXl7OggULeO/999lSUeGMkOk3hNCos52ObZ/Xf1qmV/P5CQ8YTXjAaCTYRGL1BlaVlbB69mz+8Ic/MPn44zn3q1/lzDPPJDs72+tojyqe/WeLyMXADlX9VESmtW7uoKh2Yt+eDaqPAI+AU9PohlCNq7y8nIULF7JgwQeUlZUCEMkcTGjk6YT7j0QTUz2OsHdI3rSYhKZqwKlxRNNyCIyY6nFUPZcmpREcPIng4En4mmvw7yrl8zUlfP7ZZ9x3332ceNJJnDNtGmeccYYlkDjw8uvgGcClInIRkILTp3E/kC0ifre2MQzY6pavAIYDFW7zVBawK/5hHz1UlZKSEhYtWsSCDz5g86ZNAEQz8gmOmEq4fwGalOZxlL2Pr2kXEgkB4K/fhk2u0XnR1P4Eh/YnOOQEfM278FeXsGzFWpYtXcq9997L5OOPZ9rZZ3PmmWeSk5Pjdbh9kmdJQ1VvB24HcGsas1T1/4rIS8BlOCOorgRecw953X38D3f/goP1Z5jDo6qsW7eOhQsX8sGHC6ncugVEiGQMIjRiqlOjSEr3OkxztBMhmjaAYNoAgsOm4Gvahb+mlM9Wb+Sz5cu5//77Ofa44zhn2jTOPPNM8vJsxF536YkNz7cBz4vIr4HPgMfd7Y8Dz4jIBpwaxrc8iq/PiUajrF69moULF/LhhwvZsWO7kyis6cn0BiJE0wcQTB9AcOhJ+Jpr8deUUryhnBXFs5k9ezbjJ0zgnGnTOOussxg8eLDXEfdqnl+nEUs2eurAVJVVq1axYMECPvjwQ3ZVVztDHzOHEOpfQLj/CPDbENlYSF3zFv76bW2Pw5mDbBRVjDgJpIyk2nKk0elHGlNUxLlf/SrTpk2zBHIABxs9ZUnjKKKqrF27lg8++ID3Fyxwhsf6Egj2G0q4fwHh7OHgT/Y6zD7PkoY3pGU3/ppykmrL8DXsBGD8+PGce+65TJs2zZqw2rGkcZTbunUr8+bNY96777KtstKtUQwllFPo1CgSkrwO8ahiScN70rKbxJpSkmrKkMZqRIRjjzuO6RdeyLRp00hPP7r77SxpHIWamppYuHAhb739NiuKiwGI9BtCMGeUcx2F1Sg8Y0mjZ5GWOhJ3lZK8qwSaa0lMSuLss85i+vTpnHDCCUflJIo9+eI+083Wr1/P3LlzWbDgA4LBAKRmERh6EqHcMTbqyZgOaEqWM4Hi4Mn4GqtIrFrP+x9+xHvvvceAAblceuklXHLJJTaE12VJow8Ih8N88sknvPTyy6xcsQJJSCSQU0godyzR9DybxsOYzhAhmpFHICOPwIhT8NduYnvVep588kmefuYZzjv3XC677LKjfvEoSxq9WDgc5s033+SZOXOo2rkTUjJpGX4Kodwia34y5kj4/IRzRhHOGYU015G0YxXvvreAefPmcexxx3HtNddwwgkneB2lJyxp9ELRaJQPPviARx97jG2VlUQzB7rrUwy3xYyM6WaamkVg5GkEhp5IYtV6Vq77kh/96EecfPIpzJz5vaOu5mFJo5dZt24d9/zmf9m4YT2alkNz0flEsoZZE5QxseZPJjToWEL540ncvppln3/B0u99j/PPP58bbriBfv36HfocfYAljV4iEonw3HPP8cQTTxJNTKF51NmEc0ZZsjAm3nx+QoOPI5Q3lqRtK5j/3vss+3Q5P/vp7UyZ0uGAoz7F2jJ6gdraWm686SYee+wxAtkjqJ/4DcIDRlvCMMZL/mSCw6bQOOFidjVHmDVrFg899BDRaNTryGLKaho9XHV1NT/68Y/ZvHmLU7sYMNrrkIwx7UTTc2mYeCnJm/7JCy+8QH19PTfffHOfvb7Daho9WG1tLdffcCObK7bSWHS+JYy+IhIkJSWFyy67jJSUFIgEvY7IHCmf3+ksH3I8b731Fvfccw999cJpSxo9VDQa5dd33cW2bdtoKLqASD+bWK2vkHCQiy++mOuvv56vfe1rSNiSRp8gQnDoiQSGnMC7777Lq6++6nVEMWHNUz3Uiy++yLKlS2kZeTrRzIFeh2O6kfqTeOONN1BV3nzzTdRvC1n1JcEhx5PQuJMHHnyQSZMmMXp032ohsJpGD7Rz506eePJJwtkjCOWN8zoc090SkmhpaWHu3Lm0tLTYhJF9jQgthWcRFT/3//73fa6ZypJGD/Too48SDIVpGX6KjZAyphfSxBSah5zIiuJiFi1a5HU43cqzpCEiw0XkAxFZLSJfishN7vYcEZkvIuvdn/3d7SIis0Vkg4gUi8iJXsUeSxs2bODd+fMJ5E9EU46Oi4WM6YtCeWPRtBz+9PAjhMN9ZyV4L2saYeBmVZ0ATAV+ICITgZ8A76tqEfC++xhgBlDk3mYCD8U/5NhSVf708MNIQhLBwZO8DscYcyTER/PQE6ncuoU33njD62i6jWdJQ1UrVXW5e78eWA0MBb4O/Nkt9mfgG+79rwNPq2MxkC0ifWpI0ccff8yypUtpHjzZJhw0pg+IZA0n0m8wjz76GDU1NV6H0y16RJ+GiBQAJwBLgIGqWglOYgHy3WJDgc3tDqtwt+17rpkiskxElu3cuTOWYXer+vp67v/9bDQth1D+RK/DMcZ0BxFaRpxGY3MTDz74oNfRdAvPk4aIZABzgR+q6u6DFe1g237DElT1EVWdoqpTesuav6rK/9x9N9XV1TSNPB18nv9ajDHdJJqaTWDQZN577z3efPNNr8M5Yp5+OolIIk7CeFZVX3E3b29tdnJ/7nC3VwDD2x0+DNgar1hjac6cOfz9k09oGXYy0Yz8Qx9gjOlVgkMmE+k3hPvuu59Vq1Z5Hc4R8XL0lACPA6tV9Xftdr0OXOnevxJ4rd32K9xRVFOButZmrN7stdde4/HHHyeUM5rQQGuWMqZPEp8zd5w/lVtuuZWSkhKvIzpsXtY0zgC+C3xVRD53bxcBdwPni8h64Hz3McBbQAmwAXgU+E8PYu5Wb7/9Nvfdfz/h7OG0FJ5p12QY04dpYioNYy+kMaz86Mc/pry83OuQDotn04io6sd03E8BcG4H5RX4QUyDiqNXXnmF2bNnE+k3hObR51g/hjFHAU3OpLHoQmTdO1x/ww3c+9vfMnbsWK/D6hL7pPLAnDlzmD17NuHsETQVnQc+mwLMmKNFNDWb+nEzqA9EuemmH1JcXOx1SF1iSSOOVJVHHnmExx57jFDOaJpHf9UShjFHIU3JomHcRTSTyKxZt7Bs2TKvQ+o0Sxpx9Mc//pG//OUvBPPG0zLqLGuSMuYopskZNIy7iIA/ndt+8hOWLFnidUidYp9acTJ37lxeeuklgvkTCYw8zTq9jTFO5/i4GYSTs/j5L37Bxo0bvQ7pkCxpxMHy5ct54IEHCPcfQWCEzVxrjGnHn0zjmPMIaAK33nobDQ0NXkd0UJY04uCpp/6MJqXTXHg2iL3lxpi9aVI6jaPOobq6irfeesvrcA7KPsFirLS0lOLiL2jJmwAJiV6HY4zpoaIZ+UQzBzH3lVcOXdhDljRirKmpCQBNyfQ4EmNMTxdJzqSpscnrMA7KkkaMFRUVkeD346/dDH1s2UdjTDeKhEisr+S44471OpKDsqQRY0lJSXztootIrFpP8uYlljiMMfuRUDPp697BF2ri4osv9jqcg7Iry+Lghz/8IYmJicydOxdfSz2BYScSTRvgdVjGGK+p4q8pJ3XLMhIjzfz3r37F6aef7nVUB2VJIw58Ph/XX389AwcO5Iknn8T/5WuEs4YTHDyJSOZAr8MzxsRbNIp/10ZSt62A5loGDxnC7T/5NZMm9fxlni1pxImI8M1vfpMZM2bw17/+lRdfeomGNW8Sycgn1L+QcP+RaHKG12GaOIim5aBN1QBE0gYQTcvxOCITF6r4GnfiryknuaYUAg0UFI7iiu/eyNlnn01CQoLXEXaKaB9uY58yZYr21DldmpubeeONN/jbG2+wyZ0iWdMHEMweSTh7BNHU/nYRYB+WusYZi988/iKPIzExFY2QUL/NSRS7N6OBRnw+H8cffwKXX34ZU6dORXrg/7mIfKqqUzraZzUNj6SmpnL55Zdz+eWXU1FRwccff8zCRYtYvWo5yVuWQ0o/gpmDiGQMIpI5EE3KsCRiTE+nUXxNu0io305Cw3aS6ivRcICkpGROPfUUzjzzTE477TQyM3vvEHyrafQw1dXVfPLJJ/z973/ni+Jimt3rPCQ5g2B6PpHMgUQyBlpNpJezmkYfEQ2T0LCThIbtJNRvJ7FpJxoOApCXn8+Uk07iK1/5CieddBIpKSkeB9t5faqmISLTgd8DCcBjqnr3IQ7pVQYMGMCll17KpZdeSiQSca8oL2bFihV8/sUX1JQ7y0RKYjKhtFwiablE0wYQSR9gtRFjYikaxddSg6+xmoSmavxN1fgaq0CjAIwcWcDx58xg0qRJHHfcceTn53sccGz0qqQhIgnAgzjLwFYAS0XkdVXt3Su1H0BCQgJjxoxhzJgx/Mu//AuqSmVlJcXFxRQXF7Nq9Ro2la8gGnX+aCUxhVBqjtu56iaS5H6WSIzpqmgYX3MtCY1V+Jqq8Tftwte8C6IRAJJTUhhbVMSxx57Lcccdx3HHHderm5y6olclDeAUYIOqlgCIyPPA14E+mTT2JSIMGTKEIUOGMH36dAACgQClpaWsXbuW9evXs2btWkpLVxMJh51j/EmEU/sTSe1PNDWHaGo2kdT+4E/28qUY0zOoIsFGfM01JDTX4Guuwd9SizTVtNUg0tLTGTd2LGPHfpWxY8cyduxYhg4diu8oXQ+ntyWNocDmdo8rgFPbFxCRmcBMgBEjRsQvMo8kJyczfvx4xo8f37YtFApRVlbGunXrWLduHevXr6ektIyWHWvaykhyBqGUbKJtCaU/0dQsW0kwTmyYrQfCAScxNO1yahFugtBwoK1I/5wBjJk4irFjx1JUVMTYsWMZPHhwjxzh5JVe1REuIpcDF6rq/3Mffxc4RVVv6Kh8b+wIjxVVZceOHZSWllJSUkJpaSkbNm5k06ZNbbUSRCAli1BKFtGUbKKp7i3FkonpRcItJDTX4muuxdfi/EwM1KGBxrYiaenpjB41ilHurbCwkIKCAvr16+dh4D1HX+oIrwCGt3s8DNjqUSy9iogwcOBABg4cyNSpU9u2h8NhtmzZQmlpaVtCKSkto3Lrnr4SAFL7EU7KItKWSJyfNt278YQqEm52EoObHBKa6/AH6tDgnllik5NTGDFyBKMKj6OwsLAtQeTm5lrt4TD1tqSxFCgSkUJgC/At4N+9Dal38/v9jBw5kpEjRzJt2rS27aFQiIqKCsrLyykrK6O8vJzS0jI2V+zpLwGQlAxCSVltNZLWhKKJvWd4oenBVJFgg5sY6pxmpZZaJzmE9jQrpaalUVhQQEHBCRQUFDBy5EgKCgrIy8s7avseYqVXJQ1VDYvI9cA8nCG3T6jqlx6H1SclJiZSWFhIYWHhXtvD4TCVlZVtiaSsrIyysnI2bd5AMLDnn1iSUgknZxFpl0iiqdloYpqN5jL7i0bxBXa3a1Jyag2+ljo0Emorltkvi4JRIyksmLpXcsjJybGaQ5z0qj6NrrI+jfiJRqNs376dTZs27Ukm5eWUlZXT1LhnzWPxJxFJySKSkk2krd+kP5qUbsnkaBCNuMmhpq1pKTFQB811baOVAAbk5jGqsKCtFtx6y8rK8i72o0hf6tMwPZTP52Pw4MEMHjyYU0/dM6BNVampqaG8vLztVlZWRklJKXVV69vKSUIikVQnkUTcRBJNybZk0lu1JYfatgSxb3IQEQYOGsyoCRMoKCigoKCAESNGMGLECNLS0jx+AeZALGmYmBIRcnJyyMnJ4YQTTthrX11dndtXUkpZWZnTEV9ayu72ycSfRCQlm3DrsOC0HCKpOeBPivdLMR1RRUJNznxL7gVw/pZaZJ/kkD9wEKMnTGgbpdSaIJKT7Xqh3saShvFMVlYWkyZN2m8Ngdra2rYaSWsi2bBhI0071+4plJJJKKVdIknLQZMzQazTM2Zar5Ju2uUkieYa/C01aKilrUhuXj5Fk8e3JYfCwkJLDn2MJQ3T42RnZ5Odnc3kyZPbtqkqO3fuZOPGjZSUlLBx40bWrd/AlopiWvvlWpu4wmm5RNJziablOhcsWiLpukiIhKZqZ56lxioSW6rdpiXnvU5KTmZUYSFFRVMYNWoUo0ePprCw8KiZSuNoZknD9AoiQn5+Pvn5+Zx22mlt2wOBAOXl5WzcuNFNJOtZu3YtgR2rneMS/ITTBhBxE0kkPdfm49pXNOI2L1WR0FiFv6kaaa5pSxD9cwYw4fiJFBUVtSWIIUOG2FDWo5QlDdOrJScnt80H1CoajbJ582bWrl3L2rVrWb16Des3rCe03RmdLf5kQmkDiGQOIpIxkEhG3lF1xbuEmtvWe/A3bMfXtKut/yEzsx8Tjp3AhAnjGTduHOPGjWPAAFvP3uxhQ27NUSEcDlNeXs7atWtZs2YNxStWUl5W6jRt+RKIpOcSzhjoJpGBfaqjXQIN7noP20hq3AFNNYBzLc7EicdwzDETGTduHOPHjyc/P9+udzAHHXJrScMctXbv3s3KlSspLi7ms88/Z/369UQjERAhmjaAUNYwwlnDiKbn9a7mrEiIhN2V+Os2k1S/FVrqAUhNTWPSpOOYNGkSkydPZuzYsSQl9Z3kaLqPJQ1jOqG5uZlVq1ZRXFzMsmWfsmrVl6gqkpRKMHMo4ezhhPsN7ZG1EAnU46/djL9uM4n129BohOSUFE6eMoXjjz+eyZMnM2rUKBISErwO1fQCljSMOQx1dXUsXbqUv//97yxZ8k8aGxtAfEQyBxHMLSKcPRISvOsLkWAjidUbSNpVijTtAmDwkKGccfppTJ06lUmTJllNwhwWSxrGHKFwOMyqVav4xz/+wfvvL2DHju2IP4lAdgHh3DFOP0g8mrAiYfy15SRWbcC/ewsAxxx7LNPOPpupU6cyfPjwQ5zAmEOzpGFMN4pGoxQXF/POO+/wwQcfEgi0QGoWLfnHEMotAl/3NwFJqImkypUkV69Dw0Hy8vOZMX06F1xwAcOGDev25zNHN0saxsRIU1MTH330EXNfeYV1a9dCcgYtg44jlDu2W5KHBJtI2lZM8s51oBHOOeccLrnkEiZPnmzXSZiYsaRhTIypKkuXLuXJp55i9apVkJxO8/BTCfcvOLwTRiMkbf2clO0rEZQLLriA73znO1arMHFhs9waE2MiwimnnMLJJ5/M8uXLefCPf6RkwwJCOaNpGTkV/J2fe8nXWE1a2UdI0y7OO/98rr76aoYMGRLD6I3pPKtpGBMD4XCYOXPm8PTTz6AJfmfxqc5qriM7O5tbb5nF6aefHrsgjTmAHlfTEJH/BS4BgsBG4GpVrXX33Q5cC0SAG1V1nrt9OvB7nBX7HlPVu72I3ZjO8Pv9XHXVVZxxxhm8+OKLBIPBTh+bl5fHFVdcQb9+/WIYoTGHx5OahohcACxwl2+9B0BVbxORicBzwCnAEOA9oHVSoXXA+UAFzlrh31bVVQd7HqtpGGNM1x2spuHJ8AtVfVdVw+7DxUBr797XgedVNaCqpcAGnARyCrBBVUtUNQg875Y1xhgTRz1hzN41wNvu/aHA5nb7KtxtB9q+HxGZKSLLRGTZzp07YxCuMcYcvWLWpyEi7wGDOtj1M1V9zS3zMyAMPNt6WAfllY6TW4ftaqr6CPAIOM1TXQzbGGPMQcQsaajqeQfbLyJXAhcD5+qejpUKoP08CMOAre79A203xhgTJ540T7kjoW4DLlXVpna7Xge+JSLJIlIIFAH/xOn4LhKRQhFJAr7lljXGGBNHXl3c9wCQDMx3F3xZrKrXqeqXIvIisAqn2eoHqhoBEJHrgXk4Q26fUNUvvQndGGOOXnZxnzHGmL0ctXNPichOoNzrOIw5gFygyusgjOnASFXN62hHn04axvRkIrLsQN/mjOmpesJ1GsYYY3oJSxrGGGM6zZKGMd55xOsAjOkq69MwxhjTaVbTMMYY02mWNIwxxnSaJQ1jjDGdZknDGGNMp1nSMMYY02n/P/ikZG8bhA6zAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.violinplot( y='sales', data=sales_df )\n", "plt.title( 'Distribution of Quarterly Sales' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, if you care only about the quartiles of the distribution (25%, 50%, 75%) and the outliers, you can use a box plot." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.boxplot( y='sales', data=sales_df )\n", "plt.title( 'Distribution of Quarterly Sales' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Every one of the options above can also be shown horizontally instead. Just use `orient='h'` in the plotting command." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.swarmplot( y='sales', data=sales_df, orient='h' )\n", "plt.title( 'Distribution of Quarterly Sales' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Can't I test a single column for normality?\n", "\n", "I'm so glad you asked! One of the most common assumptions in statistics is that a dataset comes from an approximately normally distributed population. We can get a sense of whether that holds true for some dataset we have by plotting the cumulative distribution function (CDF) of the data against that of a normal distribution, as you saw in DataCamp. (A CDF from data is called an empirical CDF, or ECDF.)\n", "\n", "While DataCamp did it manually, there are libraries that can handle it for you. [The notes for Chapter 9](chapter-9-math-and-stats) suggested a Learning On Your Own activity about Pingouin, a new Python statistics module, which implements QQ plots (quartile-quartile plots), for comparing two cumulative distribution functions.\n", "\n", "Here, we'll use what you saw in DataCamp." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "# create an ECDF from the data\n", "ecdf_xs = sales_df['sales'].sort_values()\n", "ecdf_ys = np.arange( 1, len(ecdf_xs)+1 ) / len(ecdf_xs)\n", "\n", "# simulate a normal CDF with the same mean and std dev\n", "sample_mean = ecdf_xs.mean()\n", "sample_std = ecdf_xs.std()\n", "samples = np.random.normal( sample_mean, sample_std, size=10000 )\n", "normal_xs = np.sort( samples )\n", "normal_ys = np.arange( 1, len(normal_xs)+1 ) / len(normal_xs)\n", "\n", "# plot them on the same graph\n", "plt.plot( normal_xs, normal_ys, 'b-' )\n", "plt.plot( ecdf_xs, ecdf_ys, 'r-' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This case is hard to judge visually. The graphs are quite different for the leftmost 30% of the graph, and somewhat different for the middle, only converging at the end. If the project you're working on is something quick and dirty that just needs to be approximate, you might call this distribution close enough to normal. But if your project demands high accuracy, such as something in health care, you should resort to official statistical tests for normality of an empirical distribution. We do not cover those in MA346." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What if I have lots of columns of data?\n", "\n", "If you want to compare them as distributions, then all of the Seaborn plotting commands from the previous section still apply. They will show multiple distributions side-by-side, horizontally or vertically. Here are two examples." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.swarmplot( x='emp_id', y='sales', data=sales_df )\n", "plt.title( 'Distribution of Quarterly Sales by Employee' )\n", "plt.xticks( rotation=90 )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When showing only one variable (earlier), a box plot was quite boring. But when showing many variables, the simplicity of a box plot helps reduce visual clutter and make the variables much easier to compare." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.boxplot( x='emp_id', y='sales', data=sales_df )\n", "plt.title( 'Distribution of Quarterly Sales by Employee' )\n", "plt.xticks( rotation=90 )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if we wanted to plot the four price distributions in the REGI dataset, the open, close, low, and high prices, side-by-side? Right now, these are stored in three separate columns in the data. But as you can see from the code above, Seaborn expects the data to be in a single column, and it will use a separate column to split the values into categories.\n", "\n", "Of course, we know how to combine four columns of related data into one based on our work in a previous week---it's melting!" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
DateType of pricePrice
02-Jan-20Open27.21
13-Jan-20Open28.16
26-Jan-20Open28.53
37-Jan-20Open28.17
48-Jan-20Open26.37
\n", "
" ], "text/plain": [ " Date Type of price Price\n", "0 2-Jan-20 Open 27.21\n", "1 3-Jan-20 Open 28.16\n", "2 6-Jan-20 Open 28.53\n", "3 7-Jan-20 Open 28.17\n", "4 8-Jan-20 Open 26.37" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "melted_df = regi_df.melt( id_vars=['Date'], value_vars=['Open','Close','Low','High'],\n", " var_name='Type of price', value_name='Price' )\n", "melted_df.head()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.swarmplot( x='Type of price', y='Price', data=melted_df )\n", "plt.title( 'Distribution of REGI Prices' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And you can use the old, trusty histogram to compare distributions as well. Simply pass an array of Series instead of just one Series when calling `plt.hist()`." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAD5CAYAAAA+0W6bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAATzUlEQVR4nO3df5DcdZ3n8ef7JkMGD0QIE0yZhIkWi8jhBRkDFh7nwvJDpFBSWCy54xLOrfBLTFb2bjmpEm79FZdd8SxRLggFFrkABjAq7GoW47GxTmDCDRDMLrCIMIpJTE4BJWCS9/3R36SGZpLpmemZ7k/yfFRNTfenv939yo9+zWe+/envNzITSVJ5/lWrA0iSRscCl6RCWeCSVCgLXJIKZYFLUqEscEkq1KThNoiILuABYHK1/YrMvDoiZgG3A4cAjwAXZOZre3qsQw89NHt6esYcWpL2JWvXrv11ZnbXjw9b4MCrwMmZ+XJEdAJrIuLvgE8C12Xm7RFxA/Ax4Ot7eqCenh76+vpGEV+S9l0R8fOhxofdhZI1L1dXO6uvBE4GVlTjtwIfaUJOSVKDGtoHHhEdEdEPbARWAf8C/CYzt1WbDABvG5+IkqShNFTgmbk9M2cD04E5wFFDbTbUfSNiYUT0RUTfpk2bRp9UkvQ6jewD3yUzfxMRPwJOAN4SEZOqWfh04Je7uc9SYClAb2+vB16RNKw//OEPDAwMsHXr1lZHmVBdXV1Mnz6dzs7OhrZvZBVKN/CHqrz3B/4E+CKwGjiX2kqU+cDKUaeWpEEGBgY48MAD6enpISJaHWdCZCabN29mYGCAWbNmNXSfRnahTANWR8RjwMPAqsz8HvCXwCcj4mlgCnDTKHNL0uts3bqVKVOm7DPlDRARTJkyZUS/dQw7A8/Mx4Bjhxh/htr+cElqun2pvHca6Z/ZT2JKUqFG9CamJLVCz5X3NvXxnl3yoWG3GRgY4LLLLuOnP/0pO3bs4KyzzuLaa69lv/32a2qWsbDApTqjKYtGCkHlyEzmzp3LJZdcwsqVK9m+fTsLFy7kqquu4tprr211vF0scEmq88Mf/pCuri4uvPBCADo6OrjuuuuYNWsWs2bN4vvf/z6vvvoqP/vZz5g3bx5XX301ALfddhtf+cpXeO211zj++OP52te+RkdHBwcccACLFi3ie9/7Hvvvvz8rV67ksMMOG3NO94FLUp0nnniC44477nVjb37zm5k5cybbtm3joYceYtmyZfT39/Otb32Lvr4+1q9fzx133MGPf/xj+vv76ejoYNmyZQD87ne/44QTTuDRRx/lpJNO4sYbb2xKTmfgklQnM4dcEbJz/NRTT2XKlCkAzJ07lzVr1jBp0iTWrl3Le9/7XgBeeeUVpk6dCsB+++3HWWedBcBxxx3HqlWrmpLTApekOkcffTR33XXX68ZefPFFnn/+eTo6Ot5Q7hFBZjJ//ny+8IUvvOHxOjs7d92no6ODbdu2vWGb0XAXiiTVOeWUU/j973/PN7/5TQC2b9/OFVdcwYIFC3jTm97EqlWr2LJlC6+88grf/va3OfHEEznllFNYsWIFGzduBGDLli38/OdDHgW2aZyBS2p7E73KJyK45557uPTSS/nMZz7Djh07OPPMM/n85z/P8uXLef/7388FF1zA008/zbx58+jt7QXgs5/9LKeddho7duygs7OT66+/nsMPP3zcclrgkjSEGTNm8N3vfnfI26ZOncpXv/rVN4yfd955nHfeeW8Yf/nll3ddPvfcczn33HObktFdKJJUKGfgkjQCCxYsYMGCBa2OATgDl6RiWeCSVCgLXJIKZYFLUqF8E1NS+7vmoCY/3m+H3eRXv/oVixcv5uGHH2by5Mn09PTw5S9/mblz57Ju3brm5hklC1yS6mQm55xzDvPnz+f2228HoL+/nw0bNrQ42eu5C0WS6qxevZrOzk4uvvjiXWOzZ89mxowZu65v3bqVCy+8kGOOOYZjjz2W1atXA7UjGc6ZM4fZs2fz7ne/m6eeegqoHWp25/hFF13E9u3bx5zTApekOuvWrXvD4WTrXX/99QA8/vjjLF++nPnz57N161ZuuOEGFi1aRH9/P319fUyfPn2Ph5odC3ehSNIorFmzhssvvxyAd77znRx++OE8+eSTvO997+Nzn/scAwMDzJ07lyOOOIL7779/t4eaHQsLXJLqHH300axYsWKP22TmkOPz5s3j+OOP59577+X000/nG9/4xh4PNTsW7kKRpDonn3wyr7766uvOnPPwww+/7vCwJ5100q7dIE8++STPPfccRx55JM888wxvf/vb+cQnPsHZZ5/NY489Nm6HmnUGLqn9NbDsr5l2Hk528eLFLFmyhK6url3LCHe69NJLufjiiznmmGOYNGkSt9xyC5MnT+aOO+7gtttuo7Ozk7e+9a18+tOf5pBDDhmXQ83G7n4NGA+9vb3Z19c3Yc8njYZnpW+99evXc9RRR7U6RksM9WePiLWZ2Vu/rbtQJKlQFrgkFWrYAo+IGRGxOiLWR8QTEbGoGr8mIn4REf3V15njH1fSvmIid++2i5H+mRt5E3MbcEVmPhIRBwJrI2JVddt1mfk3I8woSXvU1dXF5s2bmTJlyhvOAL+3ykw2b95MV1dXw/cZtsAz8wXgherySxGxHnjbqFNK0jCmT5/OwMAAmzZtanWUCdXV1cX06dMb3n5Eywgjogc4FngQOBH4eET8J6CP2iz9/w1xn4XAQoCZM2eO5OkkNWKkR+qb4CV5o9HZ2cmsWbNaHaPtNfwmZkQcANwFLM7MF4GvA+8AZlObof/tUPfLzKWZ2ZuZvd3d3U2ILEmCBgs8IjqplfeyzLwbIDM3ZOb2zNwB3AjMGb+YkqR6jaxCCeAmYH1mfmnQ+LRBm50DtMcRziVpH9HIPvATgQuAxyOivxr7FHB+RMwGEngWuGhcEkqShtTIKpQ1wFDreO5rfhxJUqP8JKYkFcoCl6RCWeCSVCgLXJIKZYFLUqEscEkqlAUuSYWywCWpUBa4JBXKs9JLzbAXHtJV7c8ZuCQVygKXpEJZ4JJUKAtckgplgUtSoSxwSSqUywilNtNz5b0j2v7ZrnEKorbnDFySCmWBS1KhLHBJKpQFLkmFssAlqVAWuCQVygKXpEJZ4JJUKAtckgplgUtSoYYt8IiYERGrI2J9RDwREYuq8UMiYlVEPFV9P3j840qSdmpkBr4NuCIzjwJOAC6LiHcBVwL3Z+YRwP3VdUnSBBm2wDPzhcx8pLr8ErAeeBvwYeDWarNbgY+MV0hJ0huNaB94RPQAxwIPAodl5gtQK3lg6m7uszAi+iKib9OmTWNLK0napeECj4gDgLuAxZn5YqP3y8ylmdmbmb3d3d2jyShJGkJDBR4RndTKe1lm3l0Nb4iIadXt04CN4xNRkjSURlahBHATsD4zvzTopu8A86vL84GVzY8nSdqdRs7IcyJwAfB4RPRXY58ClgB3RsTHgOeAj45PREnSUIYt8MxcA8Rubj6luXEkSY3yk5iSVChPaixplxGfUHnJh8YpiRrhDFySCmWBS1KhLHBJKpQFLkmFssAlqVAWuCQVymWEkkbvmoNGuP1vxyfHPsoZuCQVygKXpEJZ4JJUKAtckgplgUtSoSxwSSqUywi193BJm/YxzsAlqVAWuCQVygKXpEJZ4JJUKAtckgplgUtSoSxwSSqUBS5JhbLAJalQFrgkFWrYAo+ImyNiY0SsGzR2TUT8IiL6q68zxzemJKleIzPwW4Azhhi/LjNnV1/3NTeWJGk4wxZ4Zj4AbJmALJKkERjLPvCPR8Rj1S6Wg5uWSJLUkNEW+NeBdwCzgReAv93dhhGxMCL6IqJv06ZNo3w6SVK9URV4Zm7IzO2ZuQO4EZizh22XZmZvZvZ2d3ePNqckqc6oCjwipg26eg6wbnfbSpLGx7Bn5ImI5cAHgEMjYgC4GvhARMwGEngWuGgcM0qShjBsgWfm+UMM3zQOWSRJI+AnMSWpUBa4JBXKApekQlngklQoC1ySCmWBS1KhLHBJKpQFLkmFssAlqVDDfhJT+66eK+8d8X2eXfKhcUgiaSjOwCWpUBa4JBXKApekQlngklQoC1ySCmWBS1KhXEao5rrmoBFu/9shh0e1hLFrxHeRiuYMXJIKZYFLUqEscEkqlAUuSYWywCWpUBa4JBXKZYTjpUnL6SRpd5yBS1KhLHBJKpQFLkmFGrbAI+LmiNgYEesGjR0SEasi4qnq+8HjG1OSVK+RGfgtwBl1Y1cC92fmEcD91XVJ0gQatsAz8wFgS93wh4Fbq8u3Ah9pci5J0jBGuw/8sMx8AaD6PnV3G0bEwojoi4i+TZs2jfLpJEn1xv1NzMxcmpm9mdnb3d093k8nSfuM0Rb4hoiYBlB939i8SJKkRoy2wL8DzK8uzwdWNieOJKlRjSwjXA78H+DIiBiIiI8BS4BTI+Ip4NTquiRpAg17LJTMPH83N53S5CySpBHwk5iSVCgLXJIK5eFkG9DKM6SP6rmXfKg5Ty6prTkDl6RCWeCSVCgLXJIKZYFLUqEscEkqlAUuSYVyGeHe6JqDRrj9b8cnh6Rx5QxckgplgUtSoSxwSSqUBS5JhbLAJalQFrgkFcoCl6RCWeCSVCgLXJIKZYFLUqEscEkqlAUuSYWywCWpUB6NUFJbGOkJvD15tzNwSSqWBS5JhbLAJalQY9oHHhHPAi8B24FtmdnbjFCSpOE1403MP87MXzfhcSRJI+AuFEkq1Fhn4An8ICIS+J+ZubR+g4hYCCwEmDlz5hifTpIqnrx7zDPwEzPzPcAHgcsi4qT6DTJzaWb2ZmZvd3f3GJ9OkrTTmAo8M39Zfd8I3APMaUYoSdLwRl3gEfGvI+LAnZeB04B1zQomSdqzsewDPwy4JyJ2Ps7/ysy/b0oqSdKwRl3gmfkM8G+bmEWSNAIuI5SkQnk0QkkaqZEuYYRxWcboDFySCmWBS1KhLHBJKpQFLkmFssAlqVAWuCQVqphlhCM94Sl40lNJjRnxCZW7xinICDkDl6RCWeCSVCgLXJIKZYFLUqEscEkqlAUuSYWywCWpUMWsAx8Vz1otaS/mDFySCmWBS1KhLHBJKpQFLkmFssAlqVAWuCQVygKXpEJZ4JJUKAtckgo1pgKPiDMi4p8j4umIuLJZoSRJwxt1gUdEB3A98EHgXcD5EfGuZgWTJO3ZWGbgc4CnM/OZzHwNuB34cHNiSZKGM5YCfxvw/KDrA9WYJGkCRGaO7o4RHwVOz8w/q65fAMzJzMvrtlsILKyuHgn88+jjjsqhwK8n+DlHqt0zmm9s2j0ftH/GfT3f4ZnZXT84lsPJDgAzBl2fDvyyfqPMXAosHcPzjElE9GVmb6uevxHtntF8Y9Pu+aD9M5pvaGPZhfIwcEREzIqI/YA/Bb7TnFiSpOGMegaemdsi4uPA94EO4ObMfKJpySRJezSmM/Jk5n3AfU3KMl5atvtmBNo9o/nGpt3zQftnNN8QRv0mpiSptfwovSQVaq8q8Ii4OSI2RsS6QWOzI+InEdEfEX0RMaeF+WZExOqIWB8RT0TEomr8kIhYFRFPVd8PbrN810bEP0XEYxFxT0S8pZ3yDbr9LyIiI+LQVuQbLmNEXF4deuKJiPjrdsrXLq+TiOiKiIci4tEq33+vxmdFxIPVa+SOauFEO+VbVv3brqt6qHNCAmXmXvMFnAS8B1g3aOwHwAery2cCP2phvmnAe6rLBwJPUjsMwV8DV1bjVwJfbLN8pwGTqvEvtlu+6voMam+o/xw4tA3/jf8Y+AdgcnXb1DbL1xavEyCAA6rLncCDwAnAncCfVuM3AJe0Wb4zq9sCWD5R+faqGXhmPgBsqR8G3lxdPogh1qpPlMx8ITMfqS6/BKyn9unVDwO3VpvdCnyknfJl5g8yc1u12U+orflvm3zVzdcB/5Xav3fL7CHjJcCSzHy1um1jm+Vri9dJ1rxcXe2svhI4GVhRjbfyNTJkvsy8r7otgYeYoNfIXlXgu7EYuDYingf+BvhvLc4DQET0AMdS+wl+WGa+ALUXGDC1dclq6vIN9p+Bv5voPPUG54uIs4FfZOajLQ1Vp+7v8I+Af1ftBvjfEfHeVmaDN+Rrm9dJRHRERD+wEVgF/Avwm0GTiJYetqM+X2Y+OOi2TuAC4O8nIsu+UOCXAH+emTOAPwduanEeIuIA4C5gcWa+2Oo89XaXLyKuArYBy1qVrcqxK1+V5yrg063MVG+Iv8NJwMHUft3+L8CdERFtlK9tXieZuT0zZ1Obxc4Bjhpqs4lNNeiJ6/JFxL8ZdPPXgAcy8x8nIsu+UODzgbury9+i9h+iZaqf0HcByzJzZ64NETGtun0atZ/s7ZSPiJgPnAX8h+rXxHbJ9w5gFvBoRDxL7UX1SES8tY0yQm3WeHf1W/ZDwA5qx89ol3xt9ToByMzfAD+i9kPvLRGx83MrQx62Y6INyncGQERcDXQDn5yoDPtCgf8S+PfV5ZOBp1oVpJpx3QSsz8wvDbrpO9ReQFTfV050Nth9vog4A/hL4OzM/H0rsu0uX2Y+nplTM7MnM3uoFeV7MvNX7ZKx8m1q//+IiD8C9qMFB2faQ762eJ1ERPfOVU4RsT/wJ9T2068Gzq02a+VrZKh8/xQRfwacDpyfmTsmLE8LJ1NNFxHLgQ9Qm9lsAK6mdvTD/0HtV9itwKWZubZF+d4P/CPwOLUZGMCnqO2DvBOYCTwHfDQz69+MbWW+rwCTgc3V2E8y8+J2yZe1TwTv3OZZoDczW3Lkuj38Hf4DcDMwG3gN+IvM/GEb5XuRNnidRMS7qb1J2UFtgnlnZv5VRLyd2jkHDgH+L/Afd74h3Cb5tlFbAfVStendmflX455nbypwSdqX7Au7UCRpr2SBS1KhLHBJKpQFLkmFssAlqVAWuCQVygKXpEJZ4JJUqP8P5D+rPkngIIoAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.hist( [ regi_df['Open'], regi_df['Close'] ], label=[ 'Open', 'Close' ] )\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The REGI dataset is already set up for us to do this, because each distribution is in its own column. If it had not been so (but had been like the sales data, for instance), recall that the opposite of melting is pivoting, and that would get the data in the needed form.\n", "\n", "It's also possible to do overlapping histograms with transparent bars, but to get it to look good, you need to create the bin boundaries in advance and tell each histogram to use the same boundaries. Otherwise, `plt.hist()` will choose different bins for each Series of data." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "bins = np.linspace( 15, 35, 21 ) # 20 bins from x=15 to x=35\n", "plt.hist( regi_df['Open'], bins, label='Open', alpha=0.5, edgecolor='black' )\n", "plt.hist( regi_df['Close'], bins, label='Close', alpha=0.5, edgecolor='black' )\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There's a lot more that could be said about plotting distributions; for instance, [here's a cool blog post](https://towardsdatascience.com/sorry-but-sns-distplot-just-isnt-good-enough-this-is-though-ef2ddbf28078) about how to make an even more beautiful plot that compares several distributions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What if I need to know if the colums are related?\n", "\n", "DataCamp showed you two visualizations for this. One focuses on giving you some visual intuition for whether the variables are related, by showing you the shape of all possible scatterplots of your data. It's called a pair plot because it pairs up the variables in every possible way. Let's try it on the REGI dataset; the explanation follows the picture." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.pairplot( regi_df )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histograms shown along the diagonal of this graph are histograms of each variable, which are not the interesting part of the visualization.\n", "\n", "Next, take a look at the scatterplots that are *not* in the last row or last column. Almost all of them show a very tight linear relationship, but this is unsurprising because of the meaning of the data. For instance, the leftmost scatterplot in the second row relates the High price of a stock with the Open price of the stock on the same day. Because the stock opens and closes at approximately the same price on most days (no enormous fluctuations in any one day), these numbers are always close together, and thus highly correlated. The same goes for all the histograms except the final row and final column.\n", "\n", "The final row and final column include the Volume variable. One might naturally wonder whether the volume of the stock traded on a day correlates to anything about the value of the stock on that day. In the case of Renewable Energy Group, Inc., for the first half of 2020, the answer seems to be no. There does not seem to be any discernable relationship in those histograms; they're just fuzzy blobs of data points.\n", "\n", "Earlier I mentioned that `sns.pairplot()` was the technique that would give us some visual intuition for relationships, and it did. But there is another visualiation technique that doesn't show us as much visually, but gives us more easy-to-read measurements of the relationships among the variables. It's a heat map of the covariance matrix." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "numeric_columns_only = regi_df.drop( 'Date', axis=1 )\n", "correlation_coefficients = np.corrcoef( numeric_columns_only, rowvar=False )\n", "sns.heatmap( correlation_coefficients, annot=True )\n", "plt.xticks( np.arange(6)+0.5, numeric_columns_only.columns )\n", "plt.yticks( np.arange(6)+0.5, numeric_columns_only.columns, rotation=0 )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, because we used the same data, we still find out that all the prices are highly correlated (because they're organized by day) and the volume isn't really correlated much with anything. But it's much easier to tell both the correlations and the lacks of correlation when we have hard numbers to look at, rather than having to estimate it ourselves from pictures." ] }, { "source": [ "## What if I'm just starting to explore my data?\n", "\n", "Many of the sections above assumed you knew what was in your data and had something you wanted to communicate or investigate, such as the relationship between two distributions, or the correlations among some variables of interest. But perhaps you're not that far along yet. Maybe you just got a dataset and don't know what's in it, or what might seem interesting. There are tools for that situation as well!\n", "\n", "In fact, there are so many tools that I don't have time to cover them all here. Instead, I'll turn each one into a Learning on Your Own opportunity.\n", "\n", "```{admonition} Learning on Your Own - Visual EDA Tools\n", "---\n", "class: alert alert-danger\n", "---\n", "[This blog post](https://towardsdatascience.com/data-frame-eda-packages-comparison-pandas-profiling-sweetviz-and-pandasgui-bbab4841943b) covers three Python tools for visual exploratory data analysis, and a fourth is covered in [this post](https://towardsdatascience.com/introduction-to-d-tale-5eddd81abe3f). Read them and create a report that answers the following questions.\n", "\n", " * Which of the four tools are usable within Deepnote? Which are compatible with VSCode?\n", " * If I want to install the tools in Deepnote or VSCode, how do I do it?\n", " * How do the tools compare with the [similar features built into Deepnote's interface](https://www.youtube.com/watch?v=3PhEO41WVLQ&ab_channel=Deepnote)?\n", " * Based on your reading, do you have a recommendation of which of these (now five) options is best?\n", "```\n", "\n", "```{admonition} Learning on Your Own - SandDance\n", "---\n", "class: alert alert-danger\n", "---\n", "[This GitHub repository](https://github.com/microsoft/SandDance) contains a tool from Microsoft Research called SandDance, for fancy interactive visual data exploration.\n", "\n", " * Is it usable within Deepnote? If so, how do I install it there?\n", " * It has a VSCode extension. Once I've installed that, how do I use it?\n", " * What are the 3 or 4 most useful features you found when you read about SandDance?\n", " * Give some examples that showcase the use of those features, either in a notebook you can share or a video demonstration/screencast.\n", " * What source do you recommend someone go to if they want to read more about SandDance?\n", "```\n" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary of plotting tools\n", "\n", "I know that was a huge amount to take in! So let's make it simpler:\n", "\n", "### With one numeric column of data:\n", "\n", "| If you want to see this | Then use this |\n", "|-------------------------|---------------|\n", "| Just the distribution's quartiles and outliers | Box plot |\n", "| Simple approximation of the distribution | Histogram |\n", "| Very good approximation of the distribution, maybe very wide | Swarm plot |\n", "| Good approximation of the distribution, not too wide | Strip plot |\n", "| Good approximation of a large distribution, smoothed | Violin plot |\n", "| Whether the distribution is approximately normal | Overlapping ECDFs |\n", "\n", "### With two numeric columns of data:\n", "\n", "| If you want to see this | Then use this |\n", "|-------------------------|---------------|\n", "| A graph of the data when the data is a function | Line plot |\n", "| The shape of the data when the data is a relation | Scatter plot |\n", "| The shape of the data when the data is a relation, plus each variable's distribution | Joint plot |\n", "| The line of best fit through the data | `sns.lmplot` |\n", "\n", "### With many numeric columns of data:\n", "\n", "| If you want to see this | Then use this |\n", "|-------------------------|---------------|\n", "| The quartiles and outliers of each | Side-by-side box plots |\n", "| Simple approximation of the distributions | Histograms with side-by-side bars |\n", "| Very good approximation of each distribution (can't fit too many) | Side-by-side swarm plots |\n", "| Good approximation of each distribution (can fit more) | Side-by-side strip plots |\n", "| Good approximation if the distributions are large (will be smoothed) | Side-by-side violin plots |\n", "| The shape of all possible two-column relationships | Pair plot |\n", "| A measurement of all possible correlations | Heat map of correlation coefficients |\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Techniques *not* to use (and why)\n", "\n", "You may notice that we did not cover **pie charts** anywhere in this tutorial. Matplotlib can certainly produce pie charts for you, but visualization experts recommend against them, because viewers tend to have trouble assessing the exact meanings of the shapes. It's much harder to compare how much bigger one pie slice is to another than it is to compare, say, two bars on a histogram, or two points on a graph. So I suggest you avoid pie charts.\n", "\n", "We also did not cover **bubble charts** anywhere in this tutorial. (A bubble chart is one in which each data point is plotted by a large circle, proportional to one of the variables in the data.) These are very popular in modern data visualization because they are eye-catching and attractive. But visualization experts recommend against these as well, because each person perceives the bubble sizes differently. For example, some people perceive the magnitude of a bubble on a graph in proportion to its radius, some perceive it in proportion to its area, and others are somewhere in between.\n", "\n", "Visualization is a type of communication, and doing it well means focusing on the message you want to convey. Using a visualization that gives each viewer a different message is a bad idea. Unpredictability of viewer response is undesirable. So I suggest you avoid bubble charts as well.\n", "\n", "We did not cover charts with **3D elements,** as Microsoft Excel often creates. This is because those elements also tend to distort the viewer's perception of the data and make it unclear exactly how extreme (or not) they're perceiving what you're showing. Thus we avoid any 3D elements in charts for the same reason we avoid bubble charts.\n", "\n", "Finally, DataCamp showed you how to fit polynomial models to data using `sns.regplot()`. But I did not cover it here, because it is dangerous to dive into polynomial models without a solid grounding in mathematical modeling, which this course does not cover. Before using a polynomial model, you would need a solid, domain-specific reason to believe that such a model is applicable, or `sns.regplot()` will (obediently) produce result that are unreliable if used for prediction. Consequently, I won't cover `sns.regplot()` in MA346." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What about plot styles?\n", "\n", "I didn't cover plot styles here, but there's nothing wrong with them. I simply left them out because most of them are only cosmetic; [see this section in the DataCamp cheat sheet](big-cheat-sheet#before-day-5) for details on items like `sns.set()`, `plt.subplot()`, and `plt.style`.\n", "\n", "There are also some good blog posts on Matplotlib styles you might want to check out, such as [this](https://towardsdatascience.com/the-last-matplotlib-tweaking-guide-youll-ever-need-dbd4374a1c1e) or [this](https://towardsdatascience.com/cyberpunk-style-with-matplotlib-f47404c9d4c5).\n", "\n", "But there is one stylistic element I want to highlight: DataCamp showed that `plt.annotate()` can be used to place text on a plot, which can be very useful for drawing a viewer's attention to the part of the graph that you want them to focus on. Consider the following graph, which we produced earlier, but now with a prominent annotation to explain why sales were so high one year." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot( grouped_df.index, grouped_df['sales'], '-o' ) # dots and lines\n", "plt.title( 'Yearly Sales', fontdict={ \"fontsize\": 25 } )\n", "plt.xlabel( 'Year' )\n", "plt.ylabel( 'Total Sales' )\n", "plt.ylim( [ 0, 10000 ] )\n", "plt.annotate( 'Competitor\\nflooded', xy=(2017.5,8000),\n", " color='red', size=15, ha='right' )\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## There's so much more!\n", "\n", "Because visualization is a huge topic, I list several Learning On Your Own opportunities for extending your visualization knowledge and sharing it with the rest of the class.\n", "\n", "```{admonition} Learning on Your Own - Plot with Less Code\n", "---\n", "class: alert alert-danger\n", "---\n", "In some cases, you can plot data directly from pandas without needing to use Matplotlib. [Investigate this blog post for details](https://towardsdatascience.com/the-simplest-way-to-create-complex-visualizations-in-python-isnt-with-matplotlib-a5802f2dba92) and decide on the best format by which to report that information to the class.\n", "```\n", "\n", "```{admonition} Learning on Your Own - Geographical Plots\n", "---\n", "class: alert alert-danger\n", "---\n", "Drawing data on a map is extremely common and useful, but we don't have time to cover it in today's notes. Here are two blog posts on easy ways to plot geographical data in Python: [one using Leaflet and Folium](https://www.earthdatascience.org/tutorials/introduction-to-leaflet-animated-maps/) and [one using Matplotlib and Geopandas](https://towardsdatascience.com/the-easiest-way-to-plot-data-from-pandas-on-a-world-map-1a62962a27f3). Investigate which of the two seems better to you and decide on the best format by which to report on one or both of these to the class. As an example, try showing how housing costs vary across the U.S. by plotting on a map the property values in the mortgage dataset from Day 3.\n", "```\n", "\n", "```{admonition} Learning on Your Own - Tableau\n", "---\n", "class: alert alert-danger\n", "---\n", "One of the most famous tools for data visualization in industry is Tableau. Although coding in Python, R, etc., is always the most flexible option, tools like Tableau are far easier and faster when you don't need maximal flexibility. Take a Tableau tutorial and report to the class on its key features. Ensure your tutorial covers:\n", "\n", " * how to get a copy of Tableau\n", " * how to get data into Tableau\n", " * what tasks Tableau is most suited to accomplishing\n", " * a few examples of how to do common and useful visualization tasks in Tableau, maybe using the mortgage dataset from Day 3 so that readers are familiar with it\n", "```\n", "\n", "```{admonition} Learning on Your Own - Charticulator\n", "---\n", "class: alert alert-danger\n", "---\n", "Microsoft Research recently made [Charticulator](https://charticulator.com/) a free and open-source tool. It is for interactively creating custom visualizations, and thus has a very similar purpose to Tableau, mentioned above. Create a report just like the one suggested above for Tableau, but for Charticulator instead.\n", "```\n", "\n", "```{admonition} Learning on Your Own - Visualization Design Principles\n", "---\n", "class: alert alert-danger\n", "---\n", "I've suggested a few concepts [up above](#techniques-not-to-use-and-why) that can guide you towards effective visualizations and away from ineffective ones. But there is a lot to learn about visualization design principles that we can't cover here. Consider checking out [this blog post](https://flowingdata.com/2017/01/24/one-dataset-visualized-25-ways/) or [this free online book](https://serialmentor.com/dataviz/) and chooosing about five important concepts you learn that are relevant to our work in MA346. Find a good way to report them to the rest of the class, and be sure to include plenty of visual examples in your work of what to do and what not to do.\n", "```\n" ] } ], "metadata": { "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }