{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 5-1: Multiple Linear Regression\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are going to try and improve upon our simple linear regression model from Lab 4-1 with the snow water equivalent (SWE) data (if you're interested, [read about SWE and snow pillows here](https://www.nrcs.usda.gov/wps/portal/nrcs/detail/null/?cid=nrcseprd1314833)). In Lab 4-1 we used SWE observations from Slide Canyon to predict SWE at Blue Canyon. In this lab we will use two explanatory variables, SWE at Slide Canyon and time, to try and predict SWE at Blue Canyon. We can also compare both of these to the quantile regression model from Lab 4-2." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import scipy.stats as stats\n", "from scipy.linalg import lstsq # for the multiple linear regression, we'll use the scipy linear algebra least-squares function\n", "from scipy.interpolate import interp1d # for quantile regression, we'll want this 1d interpolation function\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load the csv file with snow water equivalent (SWE) measurements from two sites in California's Sierra Nevada. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yearsBLC_maxSLI_max
019836882446
119841121471
219852161143
319861501085
4198794569
\n", "
" ], "text/plain": [ " years BLC_max SLI_max\n", "0 1983 688 2446\n", "1 1984 112 1471\n", "2 1985 216 1143\n", "3 1986 150 1085\n", "4 1987 94 569" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Read in a .csv file\n", "data = pd.read_csv('../data/pillows_example_2024.csv')\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These data are annual maximum SWE values (mm) for the Blue Canyon (BLC), and Slide Canyon (SLI) measurement sites." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the original SWE data for both sites." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,5))\n", "\n", "data.plot(x='years', y='SLI_max', c='r', linestyle='-', linewidth=1, marker='x', ax=ax, label='Slide Canyon')\n", "data.plot(x='years', y='BLC_max', c='b', linestyle='-', linewidth=1, marker='.', ax=ax, label='Blue Canyon')\n", "\n", "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)', fontsize=15)\n", "ax.set_xlabel('Water Year', fontsize=12)\n", "ax.set_ylabel('Peak SWE (mm)', fontsize=12);\n", "plt.legend(loc=(0.2,-0.36), fontsize=12);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**What does the above plot show?** What you see above is a plot of the maximum value of snow water equivalent (SWE) measured at two snow pillows (these weigh the snow and convert that weight into the water content of the snow). These measurements of snow are not too far from each other geographically (both in the Sierra Nevada, California, although Slide Canyon is at a higher elevation and further south), and we might expect that more snow at one site woud correspond to more snow at the other site as well. We can check this by examining a regression between the data at the two sites." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Simple Linear Regression\n", "\n", "We'll start off by replicating our simple linear regression model from Lab 4-1. The first step to any regression or correlation analysis is to create a scatter plot of the data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(4,4))\n", "\n", "# Scatterplot\n", "data.plot.scatter(x='SLI_max', y='BLC_max', c='k', ax=ax);\n", "\n", "ax.set_xlabel('Slide Canyon max SWE (mm)')\n", "ax.set_ylabel('Blue Canyon max SWE (mm)');\n", "\n", "ax.set_xlim((0,3000))\n", "ax.set_ylim((0,1000));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Linear regression**: Could we use SWE measurements at Slide Canyon to predict SWE at Blue Canyon?\n", "\n", "The plot above suggests that this is a borderline case for applying linear regression analysis. What rules of linear regression might we worry about here? ([*heteroscedasticity*](https://en.wikipedia.org/wiki/Heteroscedasticity))\n", "\n", "We will proceed with calculating the regression and then look at the residuals to get a better idea of whether this is the best approach." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we're using the [`scipy.stats.linregress()`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.linregress.html) function to create a least-squares linear regression model." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# use the linear regression function\n", "B1, B0, rvalue, pvalue, sB1 = stats.linregress(data.SLI_max, data.BLC_max)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the result." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(4,4))\n", "\n", "# Scatterplot\n", "data.plot.scatter(x='SLI_max', y='BLC_max', c='k', ax=ax);\n", "\n", "# Create points for the regression line\n", "x_line = np.array([data.SLI_max.min(), data.SLI_max.max()]) # x coordinates from min and max values of SLI_max\n", "y_line = B1 * x_line + B0 # y coordinates using the slope and intercept from our linear regression\n", "\n", "# Plot the regression line\n", "ax.plot(x_line, y_line, '-r')\n", "\n", "ax.set_xlabel('Slide Canyon max SWE (mm)')\n", "ax.set_ylabel('Blue Canyon max SWE (mm)');\n", "\n", "ax.set_xlim((0,3000))\n", "ax.set_ylim((0,1000));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the linear regression at our original x data points." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "x = data.SLI_max\n", "y = B1 * x + B0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Print out our linear regression parameter (slope and intercept), our correlation coefficient, standard error of the gradient. Then compute the standard error of the regression from the standard error of the gradient:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "B0 : 54.499\n", "B1 : 0.3113\n", "R^2 : 0.325\n", "R : 0.57\n", "stderr of the gradient: 0.078\n", "stderr of the regression : 226.628\n" ] } ], "source": [ "print('B0 : {}'.format(np.round(B0,4)))\n", "print('B1 : {}'.format(np.round(B1,4)))\n", "print('R^2 : {}'.format(np.round(rvalue**2,3)))\n", "print('R : {}'.format(np.round(rvalue,3)))\n", "print('stderr of the gradient: {}'.format(np.round(sB1,3)))\n", "\n", "# Compute the SST for x\n", "sst_x = np.sum( (x - np.mean(x))**2 )\n", "\n", "# Compute the standard error\n", "stderr = sB1 * np.sqrt(sst_x)\n", "print('stderr of the regression : {}'.format(np.round(stderr,3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Plot residuals**\n", "\n", "We should make a plot of the residuals (actual - predicted values). For a good linear fit, we hope that our residuals are small, don't have any trends or patterns themselves, want them to be normally distributed:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "residuals = data.BLC_max - y\n", "\n", "f, (ax1, ax2) = plt.subplots(1,2,figsize=(9,4))\n", "\n", "ax1.plot(data.years,residuals)\n", "ax1.set_xlabel('years')\n", "ax1.set_ylabel('residuals (mm SWE)')\n", "\n", "ax2.hist(residuals)\n", "ax2.set_xlabel('residuals (mm SWE)')\n", "ax2.set_ylabel('count')\n", "\n", "f.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ideally our residuals should be \"random\" and normally distributed. (Note that ours are not.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Another way of checking the validity of a model is to see if it predicts better than simply estimating the mean.**\n", "\n", "We can also make those plots and compare them to the plots above." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "meanBC = np.mean(data.BLC_max)\n", "diffmean = data.BLC_max - meanBC\n", "\n", "f, (ax1, ax2) = plt.subplots(1,2,figsize=(9,4))\n", "\n", "ax1.plot(data.years,diffmean)\n", "ax1.set_xlabel('years')\n", "ax1.set_ylabel('difference from mean (mm SWE)')\n", "\n", "ax2.hist(diffmean)\n", "ax2.set_xlabel('difference from mean (mm SWE)')\n", "ax2.set_ylabel('count')\n", "\n", "f.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trend with time is still apparent, and the histogram looks much less normally distributed. To me, this suggests that there is some value in our regression, but we should consider a multi-linear regression that also includes a trend with time. We will explore this more below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Finally, make predictions with our linear model**\n", "\n", "Let's plot what the predictions of Blue Canyon SWE would look like if we were to use this linear model:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Use our linear model to make predictions:\n", "BLC_linear_model = B1 * data.SLI_max + B0" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,5))\n", "\n", "data.plot(x='years', y='SLI_max', c='r', linestyle='-', linewidth=1, marker='x', ax=ax, label='Slide Canyon')\n", "data.plot(x='years', y='BLC_max', c='b', linestyle='-', linewidth=1, marker='.', ax=ax, label='Blue Canyon')\n", "\n", "# Plot the predicted SWE at Blue Canyon\n", "ax.plot(data.years, BLC_linear_model, c='k', linestyle='--', linewidth=3, label='Blue Canyon Predicted with Linear Regression')\n", "\n", "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)', fontsize=15)\n", "ax.set_xlabel('Water Year', fontsize=12)\n", "ax.set_ylabel('Peak SWE (mm)', fontsize=12);\n", "plt.legend(loc=(0.2,-0.36), fontsize=12);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Is the slope of our linear regression significantly different from zero?** In Lab 4-3 we performed a hypothesis test on the slope of a linear regression to test the null hypothesis that the slope is zero. We can repeat that here too." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "t_critical = 2.0345152974493383\n", "t_test = 3.9845541414498813\n" ] } ], "source": [ "# null hypothesis B1 = 0\n", "nullB1 = 0\n", "# our alpha for 95% confidence\n", "alpha = 0.05\n", "# length of the dataset\n", "n = len(x)\n", "# degrees of freedom\n", "dof = n - 2\n", "# find our critical t values for a two-tailed t-distribution (t-value for alpha/2 with n-2 degrees of freedom)\n", "t_critical = stats.t.ppf(1-alpha/2, dof)\n", "print('t_critical = {}'.format(t_critical))\n", "# compute the t-test statistic\n", "t_test = (B1 - nullB1) / sB1\n", "print('t_test = {}'.format(t_test))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "t-test > t-critical (at 95% confidence), therefore we can reject the null hypothesis and say that the slope is non-zero." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Multiple Linear Regression\n", "\n", "Now we are going to use both Slide Canyon SWE and time to try and predict Blue Canyon SWE.\n", "\n", "Start off by making scatter plots of our two independent variables (Slide Canyon SWE, time) and the dependent variable (Blue Canyon SWE)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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A4yKvf//+vogDQJDJyspSRkaGy53FwvWBowg/5EIgvJEDYXUeF3mSdOzYMW3ZskVFRUWqqKhwmTdixAivBAbA2uLi4pSdnR3SDxwFakIuBMIXORBW53GRl52drdtvv10//fRTpXlchwCEHx44inBELgQgkQNhXR7fXXPs2LH65S9/qX379qmiosLlRVIDAIQDciEAwMo8LvKKior0wAMPKD4+3hfxAABgeeRCAICVeVzk3XzzzVq5cqUPQgEAIDiQCwEAVhZhjDGevOHIkSP65S9/qebNm6tLly6KiopymX/fffd5NUCrKCsrU2xsrEpLS9W4ceNAhwMAYcdK/TC5MPDbAADCkbv9sMc3Xnn77beVk5Oj+vXra+XKlYqIiHDOi4iICNnEBgDAaeRCAICVeVzk/fnPf9aTTz6pP/7xj4qM9Hi0JwAAQY9cCACwMo8z04kTJ3TrrbeS1AAAYYtcCACwMo+z06hRo/TOO+/4IhYAAIICuRAAYGUeD9csLy/XjBkzlJOTo65du1a62HzmzJleCw4AACsiFwIArMzjIm/r1q3q3r27JGnbtm0u88688BwAgFBFLgQAWJnHRd6KFSt8EQcAAEGDXAgAsDKuGAcAAACAEOJWkTdmzBjt2bPHrQ9855139NZbb9UqKAAArIZcCAAIFm4N12zevLk6d+6svn37asSIEerZs6cSExNVr149lZSUaMeOHVqzZo0WLFigVq1aac6cOb6OGwAAvyIXAgCCRYQxxrjTsKioSHPnztWCBQsqXWQeExOjtLQ0/e53v9OQIUN8EmiglZWVKTY2VqWlpWrcuHGgwwEQRhwOhwoKCpSUlKTk5ORAhxMwVuiHyYW12wb8lgGgdtzth90u8s504MABfffddzp69KiaNWumDh06hPzdxKywcwEgvBQXFyszM1M5OTnOaXa7XVlZWYqLiwtgZIFhtX6YXOj+NuC3DADe4dMiLxxZbecCQOhLT09Xbm6uysvLndNsNpvS0tKUnZ0dwMgCg3448M53G/BbBgDvcLcf5u6aAGBBDodDOTk5LjvF0s8P4c7JyVFeXl6AIgM8w28ZAPyPIg8ALKigoKDG+fn5+X6KBKgdfssA4H8UeQBgQR06dKhxflJSkp8iAWqH3zIA+B9FHgBYUEpKiux2u2w2m8t0m80mu93OnQkRNPgtA4D/uV3kFRUV1Tj/1KlT+uKLL2odEADgZ1lZWUpLS3OZlpaWpqysrABFBHLh+eG3DAD+5fbdNW02m/bt26cWLVpIki6++GLl5OSobdu2kqQffvhBiYmJlS6sDhXc1Q1AoOTl5Sk/Pz/sny1mhX6YXFi7bcBvGQBqx91+uI67H3h2Lfj999/r1KlTNbYBANRecnIyO8QWQS6sHX7LAOAfXr0mL9QfAgsAwLmQCwEAgcaNVwAAAAAghLg9XDMiIkIHDx5UvXr1ZIxRRESEDh06pLKyMkly/hcAgFBFLgQABAOPrslLSUlx+bt79+4ufzNEBQAQysiFAIBg4HaRt2LFCl/GAQCA5ZELAQDBwO0ir3///r6MAwAAyyMXAgCCgdtF3pVXXqlrrrlGAwcOVJ8+fVSvXj1fxgUAgOWQCwEAwcDtu2umpqbq7bff1qBBgxQXF6cBAwboySef1OrVq3Xy5ElfxggAgCWQCwEAwSDCePjU1u+//17Lly/XqlWrtHLlSu3atUv169dX3759dc0112jixIm+ijWg3H26PADAN6zUD5MLA78NACAcudsPe1zknW3Pnj36+9//rueee06HDh1SeXl5bT7OskhsABBYVu6HyYUAAH9wtx92+5q8MxUUFGjlypXO14EDB9SnTx8uSAcAhA1yIQDAqtwu8ubNm6cVK1Zo5cqVKi0tVb9+/dS/f3/de++96tmzp+rUOa96EQCAoEEuBAAEA7ez0ejRo9W2bVs9+uijuvPOOxUVFeXLuAD4kMPhUEFBgZKSkpScnBzocICgQS5EoNBvA/CE23fXfOGFF9S7d29NnjxZLVq00HXXXadnnnlGX375pWp5WR8APykuLlZ6erpSU1M1bNgwpaSkKD09XSUlJYEODQgK5EL4G/02gPNxXjde2bFjh/OOYqtWrdKxY8fUr18/DRw4UBMmTPBFnAHHxeYIBenp6crNzXW5KYTNZlNaWpqys7MDGBlwblbrh8mFgd8G4YB+G8CZ/HZ3zf/+97968cUXuaMYYHEOh0Opqak1zmcIEKzMyv0wuRC+QL8N4Gw+u7vmDz/84HI3MYfDobp166pXr14aOHBgrYIG4DsFBQU1zs/Pz2dnAXATuRD+QL8N4Hy5fU3evffeq06dOikxMVG33367tm7dqptvvlnLli1TSUmJVq5cqUmTJnk9wL179+rXv/61mjZtqgYNGujSSy/Vhg0bnPONMZo8ebISExNVv359DRgwQNu3b3f5jOPHj2vcuHFq1qyZGjZsqBEjRuj777/3eqyAlXXo0KHG+UlJSX6KBAhegcqFEvkwHNFvAzhfbhd5Gzdu1A033KDs7GyVlJRozZo1mjJliq655hrVq1fPJ8GVlJSoX79+ioqK0tKlS7Vjxw4988wzuuCCC5xtZsyYoZkzZ+r555/X+vXrlZCQoMGDB+vgwYPONuPHj9eiRYu0YMECrVmzRocOHdLw4cNDdjgNUJWUlBTZ7XbZbDaX6TabTXa7naPBgBsCkQsl8mG4ot8GcN6MhT3yyCPmyiuvrHZ+RUWFSUhIMNOnT3dOO3bsmImNjTWzZ882xhhz4MABExUVZRYsWOBss3fvXhMZGWmys7PdjqW0tNRIMqWlpeexJIA1FBcXG7vdbiQ5X3a73RQXFwc6NOCcwrkftko+DOdtECj02wDO5G4/7PaZvPz8fJdhIZL0ySefaODAgbriiis0depUL5Wd/7N48WL17NlTv/zlL9WiRQt1795dL7/8snP+rl27VFhYqCFDhjinRUdHq3///lq7dq0kacOGDTp58qRLm8TERHXu3NnZBggXcXFxys7OlsPh0JIlS+RwOJSdna24uLhAhwYEhUDkQol8GM7otwGcD7eLvIceekgffPCB8+9du3bpuuuuU926ddWnTx9NmzZN/+///T+vBvftt9/qpZdeUnJysnJycjRmzBjdd999ev311yVJhYWFkqT4+HiX98XHxzvnFRYWqm7dupU6wzPbVOX48eMqKytzeQGhIjk5WUOHDmWoD+ChQORCKXD5kFxoHfTbADzh9t01v/zySz388MPOv9966y2lpKQoJydHktS1a1c999xzGj9+vNeCq6ioUM+ePZ1HRrt3767t27frpZde0u233+5sFxER4fI+Y0ylaWc7V5tp06bpiSeeqEX0AIBQE4hcKAUuH5ILASA4uX0m76efflLr1q2df69YsULXXXed8+8BAwboP//5j1eDa9mypTp16uQy7eKLL9bu3bslSQkJCZJU6QhkUVGR82hmQkKCTpw4oZKSkmrbVGXixIkqLS11vvbs2VPr5QEABLdA5EIpcPmQXAgAwcntIq9Jkybat2+fpJ+PKH755Zfq1auXc/6JEydkavdc9Ur69eunnTt3ukxzOBxq166dJKl9+/ZKSEjQsmXLXOJYtWqV+vbtK0nq0aOHoqKiXNrs27dP27Ztc7apSnR0tBo3buzyAgCEt0DkQilw+ZBcCADBye3hmv3799eUKVP04osv6r333lNFRYXLA1937NihCy+80KvB/eEPf1Dfvn01depU3XLLLfriiy80Z84czZkzR9LPw1LGjx+vqVOnKjk5WcnJyZo6daoaNGigzMxMSVJsbKxGjx6tBx98UE2bNlWTJk00YcIEdenSRWlpaV6NFwAQ2gKRCyXyIQDAQ+7ervPbb781HTp0MJGRkaZOnTrmxRdfdJl//fXXm/Hjx3t6F9Bz+te//mU6d+5soqOjTceOHc2cOXNc5ldUVJhJkyaZhIQEEx0dba6++mqzdetWlzZHjx41Y8eONU2aNDH169c3w4cPN7t37/YoDm4bDQCBZYV+OFC50Bhr5EMrbAMACGfu9sMRxrg/ruTkyZPasWOHmjdvrsTERJd5X331lVq3bq2mTZt6tQi1irKyMsXGxqq0tJThKgAQAFbph8mFgd8GABCu3O2H3R6uKUlRUVHq1q1blfOqmw4AQCghFwIArM7tG68AAAAAAKyPIg8AAAAAQghFHgAAAACEEIo8AAAAAAghHhd5jz32mMrLyytNLy0tVUZGhleCAvzN4XBo6dKlysvLC3QoAIIAuRBAoLHvgpp4XOS9/vrr6tevnwoKCpzTVq5cqS5duug///mPN2MDfK64uFjp6elKTU3VsGHDlJKSoquvvlolJSWBDg2AhZELgdAQjIVSVfsu6enp7LvAhcdF3pYtW3ThhRfq0ksv1csvv6yHHnpIQ4YM0R133KE1a9b4IkbAZzIzM5Wbm+sybfXq1UpOTqazBFAtciEQ3IK5UKpq3yU3N5dRBHDh0cPQz/Too49q2rRpqlOnjpYuXapBgwZ5OzZL4QGwocfhcCg1NbXa+VdeeaVWr17tx4gA1MSK/TC5EAhO6enpys3NdRl2bbPZlJaWpuzs7ABGVrNz7bs4HA4lJyf7MSL4m7v98HndeOW5557TrFmzlJGRoYsuukj33Xefvvrqq/MOFgiEM4dZVWXNmjVBNXwDgH+RC4Hg5HA4lJOTU+m62vLycuXk5Fg6959r3yU/P99PkcDqPC7yhg4dqieeeEKvv/663nrrLW3atElXX321evfurRkzZvgiRsAnOnTocM42dJYAqkIuBIJXMBdK59p3SUpK8lMksDqPi7xTp05py5YtuvnmmyVJ9evX10svvaT3339fs2bN8nqAgK+kpKToyiuvrLENnSWAqpALgeAVzIVSSkqK7Ha7bDaby3SbzSa73c5QTTid9zV5Vfnpp5/UrFkzb32cpXAdQmgqKSlRcnKy9u/f7zI9MjJSgwcPtvS4fCDcBEs/TC4ErC9Yr8mTft53ycjIUE5OjnOa3W5XVlaW4uLiAhgZ/MGn1+RVJ1STGkJXXFyc8vLyKp3RGzx4sLKysgIUFYBgRi4ErC8rK0tpaWku09LS0oIi98fFxSk7O1sOh0NLliyRw+FQdnY2BR5ceHwmr7y8XLNmzdK7776r3bt368SJEy7zi4uLvRqgVXD0MvTl5eUpPz9fSUlJDHcALMhK/TC5MPDbAPAGcj+Cjc/O5D3xxBOaOXOmbrnlFpWWluqBBx7QTTfdpMjISE2ePLk2MQMBlZycrKFDh9LJAzgnciEQGsj9CFUeF3lvvfWWXn75ZU2YMEF16tRRRkaGXnnlFT3++OP6/PPPfREjAACWQi4EAFiZx0VeYWGhunTpIklq1KiRSktLJUnDhw/XRx995N3oALjF4XBo6dKlln62DxBKyIXA/5CDAOvxuMhr3bq19u3bJ+nnW8x+/PHHkqT169crOjrau9EBqFFxcbHS09OVmpqqYcOGKSUlRenp6SopKQl0aEBIIxcC5CDAyjwu8m688UZ98sknkqT7779fjz32mJKTk3X77bfrzjvv9HqAAKqXmZmp3Nxcl2m5ubnKyMgIUERAeCAXAuQgwMpq/Zy8zz//XGvXrlVSUpJGjBjhrbgshzuKwWocDodSU1NrnM+F5AglVu6HyYUIN+QgIDDc7Yfr1PaLevfurd69e9f2YwB4qKCgoMb5+fn5JFjAT8iFCDfkIMDazqvI27t3rz777DMVFRWpoqLCZd59993nlcAA1KxDhw41zk9KSvJTJEB4IhcinJGDAGvzuMibN2+exowZo7p166pp06aKiIhwzouIiCCxAX6SkpIiu92u3NxclZeXO6fbbDalpaVxBBXwIXIhwh05CLA2j6/Ja9OmjcaMGaOJEycqMtLj+7YELa5DgBWVlJQoIyNDOTk5zml2u11ZWVmKi4sLYGSA91mpHyYXBn4bIPDIQYD/+eyavCNHjuhXv/pVWCU1wKri4uKUnZ2tvLw85efnKykpiaOngB+QCwFyEGBlHmen0aNH67333vNFLADOU3JysoYOHUpyBfyEXAj8DzkIsB6Ph2uWl5dr+PDhOnr0qLp06aKoqCiX+TNnzvRqgFbBEBUACCwr9cPkwsBvAwAIRz4brjl16lTl5OQ4n41y9sXmAACEOnIhAMDKPC7yZs6cqVdffVV33HGHD8IBAMD6yIUAACvz+Jq86Oho9evXzxexAAAQFMiFAAAr87jIu//++/Xcc8/5IhYAAIICuRAAYGUeD9f84osvtHz5cn344Ye65JJLKl1s/o9//MNrwQEAYEXkQgCAlXlc5F1wwQW66aabfBELAABBgVwIALAyj4u8efPm+SIOAACCBrkQAGBlHl+TBwAAAACwLoo8AAAAAAghFHkAAAAAEEIo8gAAAAAghFDkAQAAAEAI8fjumpL0ySef6JNPPlFRUZEqKipc5r366qteCQwAACsjFwIArMrjIu+JJ57Qk08+qZ49e6ply5aKiIjwRVwIcg6HQwUFBUpKSlJycnKgwwEAryIXAkB4CpZ9XI+LvNmzZ2v+/PkaOXKkL+JBkCsuLlZmZqZycnKc0+x2u7KyshQXF+f3eILlHyKA4EIuBOBr7MNYi9X2cc/F42vyTpw4ob59+/oiFoSAzMxM5ebmukzLzc1VRkaGX+MoLi5Wenq6UlNTNWzYMKWkpCg9PV0lJSV+jQNAaCIXAvAV9mGsySr7uO7yuMj77W9/q7ffftsXsSDIORwO5eTkqLy83GV6eXm5cnJylJeX57dYgu0fIoDgQi4E4Cvsw1iPlfZx3eXxcM1jx45pzpw5ys3NVdeuXRUVFeUyf+bMmV4LDsGloKCgxvn5+fl+GW5w+h/i2c78h8iwBwC1QS4E4Avsw1iTVfZxPeFxkbdlyxZdeumlkqRt27a5zOPC8/DWoUOHGucnJSX5JY5z/UNctWqV5f4hwv+41gG1QS5EMLF6f2f1+PwpGIuJcGCVfVxPeFzkrVixwhdxIASkpKTIbrcrNzfX5XS2zWZTWlqa3zqlc/1DvOuuu/T+++9b9kJZ+FawXTgNayIXIhhYvb+zenyBEIzFRDiwyj6uJ2r1MPTvv/9ee/fu9VYsCAFZWVlKS0tzmZaWlqasrCy/xXD6H6LNZqu2DWPbwxfXOsDbyIWwKqv3d1aPLxCq24ex2Wyy2+2WLCbChRX2cT0RYYwxnryhoqJCf/nLX/TMM8/o0KFDkqSYmBg9+OCDevTRRxUZWau60bLKysoUGxur0tJSNW7cONDhWF5eXp7y8/MDNvSipKREGRkZVY5rP5PD4aDDDCMOh0Opqak1zuf3YF1W6ofJhYHfBqiZ1fs7q8cXSFXtw4T7GU4rCfQ+rrv9sMfDNR999FHNnTtX06dPV79+/WSM0WeffabJkyfr2LFjeuqpp2oVOEJDcnJyQDvnuLg4ZWdn65VXXtFdd91VbTvGtocXrnWAt5ALYXVW7++sHl8gnd6HCXQxgaoFeh/XXR4Xea+99ppeeeUVjRgxwjmtW7duatWqle655x4SGyzl6quvrnE+Y9vDC9c6wFvIhbA6q/d3Vo/PCoKlmIA1eTyepLi4WB07dqw0vWPHjiouLvZKUIC3MLYdZ+L3AG8hF8LqrN7fWT0+INh5XOR169ZNzz//fKXpzz//vLp16+aVoABvCrYLZeFb/B7gDeRCBAOr93dWjw8IasZDK1euNA0bNjQXX3yxufPOO83o0aPNxRdfbBo1amQ+/fRTTz/OI1OnTjWSzP333++cVlFRYSZNmmRatmxp6tWrZ/r372+2bdvm8r5jx46ZsWPHmqZNm5oGDRqY6667zuzZs8ej7y4tLTWSTGlpqTcWBQHgcDjMkiVLjMPhCHQosAB+D8HHSv0wuTDw2wDus3p/Z/X4ACtxtx/2+Exe//79tXPnTt144406cOCAiouLddNNN2nnzp266qqrvFuBnmH9+vWaM2eOunbt6jJ9xowZmjlzpp5//nmtX79eCQkJGjx4sA4ePOhsM378eC1atEgLFizQmjVrdOjQIQ0fPtzlORcIfcnJyRo6dChDQCCJ3wNqh1yIYGL1/s7q8QFByU9FZ60cPHjQJCcnm2XLlpn+/fs7j15WVFSYhIQEM336dGfbY8eOmdjYWDN79mxjjDEHDhwwUVFRZsGCBc42e/fuNZGRkSY7O9vtGDh6aX07d+7kSCAQwsK9HyYXAkDwq+3+qs/O5F144YV68skntWfPHm/Xm9W69957de2111Yat71r1y4VFhZqyJAhzmnR0dHq37+/1q5dK0nasGGDTp486dImMTFRnTt3drapyvHjx1VWVubygjUVFxcrPT1dqampGjZsmFJSUpSenq6SkpJAhwYgRJELAQCe8Pf+qsdF3oMPPqh//vOfat++vQYPHqwFCxbo+PHjvohNkrRgwQJt3LhR06ZNqzSvsLBQkhQfH+8yPT4+3jmvsLBQdevWrfTwyDPbVGXatGmKjY11vtq0aVPbRYGPZGZmKjc312Vabm6uMjIyAhQRgFBHLgQAeMLf+6seF3njxo3Thg0btGHDBnXq1En33XefWrZsqbFjx2rjxo1eDW7Pnj26//779eabb6pevXrVtouIiHD52xhTadrZztVm4sSJKi0tdb78ebQW7nM4HMrJyal0TUl5eblycnKUl5cXoMgAhDJyIQDAXYHYX/W4yDutW7du+tvf/qa9e/dq0qRJeuWVV3T55ZerW7duevXVV2WMqXVwGzZsUFFRkXr06KE6deqoTp06WrVqlZ599lnVqVPHedTy7KOQRUVFznkJCQk6ceJEpVOhZ7apSnR0tBo3buzygvUUFBTUOD8/P99PkQAIR+RCAMC5BGJ/9byLvJMnT+rdd9/ViBEj9OCDD6pnz5565ZVXdMstt+jRRx/VbbfdVuvgBg0apK1bt2rz5s3OV8+ePXXbbbdp8+bNuuiii5SQkKBly5Y533PixAmtWrVKffv2lST16NFDUVFRLm327dunbdu2OdsgeHXo0KHG+UlJSX6KBEA4IhcCAM4lEPurdTx9w8aNGzVv3jxlZWXJZrNp5MiRmjVrljp27OhsM2TIEF199dW1Di4mJkadO3d2mdawYUM1bdrUOX38+PGaOnWqkpOTlZycrKlTp6pBgwbKzMyUJMXGxmr06NF68MEH1bRpUzVp0kQTJkxQly5dKl28juCTkpIiu92u3Nxcl1PgNptNaWlp3I4ZgE+QCwEA7grE/qrHRd7ll1+uwYMH66WXXtINN9ygqKioSm06deqkX/3qV14J8FwefvhhHT16VPfcc49KSkrUq1cvffzxx4qJiXG2mTVrlurUqaNbbrlFR48e1aBBgzR//nzZbDa/xAjfysrKUkZGhnJycpzT0tLSlJWVFcCoAIQyciEAwBP+3l+NMB5eMPDdd9+pXbt2PgnGysrKyhQbG6vS0lKuSbCovLw85efnKykpiTN4QAiyUj9MLgz8NgCAYFTb/VV3+2GPz+SdTmonTpxQUVGRKioqXOa3bdvW048EvOL0MCUA8DVyIQDgfPhrf9XjIs/hcGj06NGVHp56+jbMZ98aFACAUEMuBABYmcdF3m9+8xvVqVNHH374oVq2bHnOZ/AAABBqyIUAACvzuMjbvHmzNmzY4HIHMQAAwgm5EABgZR4XeZ06ddJPP/3ki1gQghwOhwoKCrgZCoCQQi4EgOAVDvunHj8M/emnn9bDDz+slStXav/+/SorK3N5AZJUXFys9PR0paamatiwYUpJSVF6erpKSkoCHRoA1Bq5EACCTzjtn3r8CIXIyJ/rwrOvPwj1i825bbRn0tPTq33gY3Z2dgAjAxCsrNQPkwsDvw0AwFOhsH/qs0corFixolaBIfQ5HA6XBz2eVl5erpycHOXl5YXsqXEA4YFcCADBJdz2Tz0u8vr37++LOBBCCgoKapyfn58fUv+IwmFcNwBX5EIgOJCjcVq47Z96XOSdduTIEe3evVsnTpxwmd61a9daB4Xg1qFDhxrnJyUl+SkS3youLlZmZqbLUSG73a6srCzFxcUFMDIA/kIuBKyJHI2zubt/GioHBjy+8cqPP/6o4cOHKyYmRpdccom6d+/u8gJSUlJkt9tls9mqnD9u3LiQuMA1MzNTubm5LtNyc3OVkZERoIgA+Au5ELA2cjTOVt3+qc1mk91uV9OmTUPqpiweF3njx49XSUmJPv/8c9WvX1/Z2dl67bXXlJycrMWLF/siRgShrKwspaWlVTkvFDrZ0+O6z765wpnjugGELnIhYF3kaFSnqv3TtLQ0ZWVlhdyBAY+Hay5fvlz//Oc/dfnllysyMlLt2rXT4MGD1bhxY02bNk3XXnutL+JEkImLi9Ozzz6r1NTUSvNC4QLXcBvXDcAVuRCwLnI0qhMXF6fs7Gzl5eUpPz/fOSQzFG/K4vGZvMOHD6tFixaSpCZNmujHH3+UJHXp0kUbN270bnQIau50ssHKatcdOhwOLV26lKOTgJ+QCwHr8maOJr+GpuTkZA0dOtRZuIXiPqvHRV5qaqp27twpSbr00kv197//XXv37tXs2bPVsmVLrweI4GW1QsibzjWu219He8LpoZ6AlZALAevyRo4mv4aXUNxnPa9r8vbt2ydJmjRpkrKzs9W2bVs9++yzmjp1qtcDRPDyViFk1aNoNY3r9pdQGz8OBAtyIWBttc3R5Fdr8/a+oVUO3ntThDHG1OYDjhw5om+++UZt27ZVs2bNvBWX5bj7dHm4KikpUUZGxnndwjhYbn989rhuf3E4HFVe83jm/GDslIDqWLkfJhcC1nQ+OZr8al2+3DeszT6rP7nbD3tU5JWVlalRo0aKjHQ9AVhRUaFDhw6FdIdPYqud8+lk09PTlZub63J3LJvNprS0NGVnZ/sq1KCxdOlSDRs2rNr5S5Ys0dChQ/0YEeBbVumHyYWB3waAL5Ffrcsf+4aBOnjvLnf7YbeHay5atEg9e/bUsWPHKs07duyYLr/8cv3rX/86v2gR8s6+wPVcuP3xuYXi+HHA6siFQOgjv1qTv/YNPd1ntSq3i7yXXnpJDz/8sBo0aFBpXoMGDfTII4/o+eef92pwCF+heJcjbwvF8eOA1ZELgdBHfrUm9g0943aRt23bNg0YMKDa+VdffbW2bt3qjZgAjqK5yQo3fwHCCbkQCA/kV+th39Azbj8MvaSkRKdOnap2/smTJ7mtLLzm9FG06sZdcxTtZ9U91BOAb5ALgfBAfrUe9g094/aZvAsvvFBffvlltfO//PJLtWvXzitBARJH0TwRKuPHAasjFwLhhfxqLewbus/tM3k33XSTHn30UQ0ePFjx8fEu8woLC/XnP/9Zv/71r70eIMKXP4+iORwOFRQUcKQOQI3IheGLPAEEHmdY3ef2IxQOHjyoPn36aPfu3fr1r3+t1NRURURE6Ouvv9Zbb72lNm3a6PPPP1dMTIyvYw4IbhsdmoLlWXwArNEPkwsDvw38jTwBwEp88py80tJSTZw4Ue+8847zmoO4uDjdeuutmjp1qi644IJaB25V4ZjYwgHP4gOCh1X6YXJh4LeBP5EnAFiJT4q804wx+umnn2SMUfPmzRUREVGrYINBOCY2q/H2UBmHw6HU1NQa5zMEALAOq/XD5MLAbwNf82aeYLgnAG/w+sPQzxQREaHmzZurRYsWYZHUEFjFxcVKT09Xamqqhg0bppSUFKWnp9f6DnY8bwVAbZALQ5838oSvchgA1OS8ijzAnzIzM5Wbm+syLTc3VxkZGbX6XJ63AgCoiTfyhK9yGADUhCIPXudwOLR06VLl5eV55bNycnJcroWQpPLycuXk5NTqO04/b8Vms7lMt9lsstvtDKcBgDDnSZ6oKvf5MocBQE0o8uA1vhiS4ushlTxvBQBQk3PliZpyH5cFAAgUt5+TV5Vjx46pXr163ooFQa6mISnnewcyXw+p5HkrAGqLXBjazpUnasp9zz77bI2fzWUBAHzF4zN5FRUVmjJlilq1aqVGjRrp22+/lSQ99thjmjt3rtcDRHDw1ZAUfw2pTE5O1tChQynwALiFXBh+qsoT58p9ERERXBYAICA8LvL+8pe/aP78+ZoxY4bq1q3rnN6lSxe98sorXg0OwcOXQ1IYUgnAasiFkNzLfeQwAIHg8XDN119/XXPmzNGgQYM0ZswY5/SuXbvqm2++8WpwCB6+HFbJkEoAVkMuhORe7iOHAQgEj4u8vXv3VrnDXlFRoZMnT3olKASf08Mqc3NzXYat2Gw2paWleSWhJScnkxgBWAK5EJJnuY8cBsCfPB6ueckll2j16tWVpr/33nvq3r27V4JCcGJICoBwQS7EaeQ+AFbk8Zm8SZMmaeTIkdq7d68qKir0j3/8Qzt37tTrr7+uDz/80BcxIkgwJAVAuCAX4jRyHwArijDGGE/flJOTo6lTp2rDhg2qqKjQZZddpscff1xDhgzxRYyWUFZWptjYWJWWlqpx48aBDgcAwo7V+mFyYeC3AQCEG3f74fMq8sIRiQ0AAot+OPDYBgAQWO72w7V6GDoA73M4HCooKGDIDwDAL8g7QOjx+MYrkZGRstls1b4QnhwOh5YuXXreDz2HVFxcrPT0dKWmpmrYsGFKSUlRenq6SkpKAh0agLOQC2E155OHyTtA6PL4TN6iRYtc/j558qQ2bdqk1157TU888YTXAkNwKC4uVmZmpnJycpzT7Ha7srKyFBcXF8DIgk9mZqZyc3NdpuXm5iojI0PZ2dkBigpAVciFsIra5GHyDhC6vHZN3ttvv6133nlH//znP73xcZbDdQhVS09Pr/b5QCQI9zkcDqWmptY4nyE0CHfB0A+TC+Fv55uHyTtAcHK3H/Z4uGZ1evXqVeloEEKbw+FQTk6OS2KRpPLycuXk5DB00wMFBQU1zs/Pz/dTJABqg1wIf6pNHibvAKHNK0Xe0aNH9dxzz6l169be+DgECRKE93To0KHG+UlJSX6KBMD5IhfC32qTh/2Zd7huH/A/j6/Ji4uLU0REhPNvY4wOHjyoBg0a6M033/RqcLA2ChPvSUlJkd1urzTk5rRx48ZxnSNgIeRCWEFt8nB1eef0UE9vDNXkun0gcDy+Jm/+/PkuiS0yMlLNmzdXr169QvofLNchVK26awG6deumBQsWMJ7fAyUlJcrIyHBJhqdxnSNgrX6YXBj4beBtwfoYgdpcG19V3vFmEcZ1+4D38TB0LwvlxFYbNRUmUngcsfPmjgEXwgPVox8OvEBvA18UYsF+tskbhVpeXp7y8/O9ul7JZ4BvePVh6Fu2bHH7i7t27ep2WwS/uLg4ZWdnKy8vT7/61a+0efNmVVRUOOeH8q2YfbFj4M71FSRFIDDIhYHjy0Is2B8jcGYePt9CLTk52eu5hXwGBJZbZ/IiIyMVERGhczWNiIio8nqiUBDoo5dWF45H7HwxDCUc1yPgrkD3w+TCwG0DXw37o8/1HdYt4BtePZO3a9curwWG0BRuR+xO37b6bGfetvp8ltcfF8IDOD/kwsDwVX8rhV/u8ifyGRBYbhV57dq183UcCHLhdqdNX+4YZGVlVbq+Ii0tTVlZWef1eQC8g1wYGL7sb8Mtd/kb+QwIHI+fk7d//37n/+/Zs0ePP/64HnroIa1evdqrgUnStGnTdPnllysmJkYtWrTQDTfcoJ07d7q0McZo8uTJSkxMVP369TVgwABt377dpc3x48c1btw4NWvWTA0bNtSIESP0/fffez3ecHb6iJ3NZnOZbrPZZLfbQ+6InS93DE5fX+FwOLRkyRI5HA5lZ2cHxQ0AgHDhz1wohXc+9GV/G265y9/IZ0AAGTdt2bLFtGvXzkRGRprU1FSzadMmEx8fbxo1amQaN25sbDabWbRokbsf5xa73W7mzZtntm3bZjZv3myuvfZa07ZtW3Po0CFnm+nTp5uYmBizcOFCs3XrVnPrrbeali1bmrKyMmebMWPGmFatWplly5aZjRs3moEDB5pu3bqZU6dOuR1LaWmpkWRKS0u9uoyhpLi42NjtdiPJ+bLb7aa4uDjQofmE3W43NpvNZXltNpux2+2BDg0ISVbohwORC42xTj4M1DbwZX8bbrkLQHBztx92u8hLT083w4cPN6tXrzZ33323adWqlfnNb35jysvLTXl5ubnnnntMr169ah14TYqKiowks2rVKmOMMRUVFSYhIcFMnz7d2ebYsWMmNjbWzJ492xhjzIEDB0xUVJRZsGCBs83evXtNZGSkyc7Odvu7rbBzESwcDodZsmSJcTgcgQ7Fp9gxAPzLCv2wFXKhMYHLh4HaBv7ob8MldwEIbu72w24/J69Zs2Zavny5unbtqkOHDqlx48b64osv1LNnT0nSN998o969e+vAgQO1PblYrdPj7rdu3arOnTvr22+/VYcOHbRx40Z1797d2e7666/XBRdcoNdee03Lly/XoEGDVFxc7DI8oFu3brrhhhv0xBNPVPldx48f1/Hjx51/l5WVqU2bNtxdE5X44vlCACoL9N01JWvkQsl/+dBquZD+FkC48+rdNaWfn1GTkJAgSWrUqJEaNmyoJk2aOOfHxcXp4MGDtQi5ZsYYPfDAA7ryyivVuXNnSVJhYaEkKT4+3qVtfHy8vvvuO2ebunXrVhr/HR8f73x/VaZNm1ZtAQicyRfPF/IXXzxYGAhlgc6Fkn/zodVyYTD3t8GMXAEEH49uvBIREVHj3740duxYbdmypco7Mp0dhzHmnLGdq83EiRNVWlrqfO3Zs+f8AgcsqLi4WOnp6UpNTdWwYcOUkpKi9PR0lZSUBDo0wPICmQsl/+ZDcmF4I1cAwcvtM3mSdMcddyg6OlqSdOzYMY0ZM0YNGzaUJJfhHN42btw4LV68WJ9++qlat27tnH76aGphYaFatmzpnF5UVOQ8mpmQkKATJ06opKTE5ehlUVGR+vbtW+13RkdHO5cVCDWZmZnKzc11mZabm6uMjIxaPVgYCAeByoWS//MhuTC8kSuA4OX2mbxRo0apRYsWio2NVWxsrH79618rMTHR+XeLFi10++23ezU4Y4zGjh2rf/zjH1q+fLnat2/vMr99+/ZKSEjQsmXLnNNOnDihVatWORNWjx49FBUV5dJm37592rZtW41FHhCqTj9Y+MyH00quDxYGULVA5EKJfAj/I1cAwc3tM3nz5s3zZRxVuvfee/X222/rn//8p2JiYpzXDMTGxqp+/fqKiIjQ+PHjNXXqVOc4/alTp6pBgwbKzMx0th09erQefPBBNW3aVE2aNNGECRPUpUsXpaWl+X2ZgEDz5YOFgVAXiFwokQ/hf+QKILh5NFzT31566SVJ0oABA1ymz5s3T3fccYck6eGHH9bRo0d1zz33qKSkRL169dLHH3+smJgYZ/tZs2apTp06uuWWW3T06FENGjRI8+fPr/TwUyAc+PLBwgB8g3wIfyNXAMHN7UcohDsr3Lob8Jb09HTl5ua6DMOx2WxKS0vjOgtYFv1w4LENwgu5ArAed/thj+6uCSA0ZGVlVRqelZaWVuXd+gAA4YlcAQQvSw/XBOAbcXFxys7O5sHCAIBqkSuA4EWRB4QxHiwMADgXcgUQfBiuCQAAAAAhhCIPAAAAAEIIRR4AAAAAhBCuyQPc4HA4VFBQwEXnAGBh9NUA8DPO5AE1KC4uVnp6ulJTUzVs2DClpKQoPT1dJSUlgQ4NAPD/o68GAFcUeUANMjMzlZub6zItNzdXGRkZAYoIAHA2+moAcEWRB1TD4XAoJydH5eXlLtPLy8uVk5OjvLy8AEUGADiNvhoAKqPIA6pRUFBQ4/z8/Hw/RQIAqA59NQBURpEHVKNDhw41zk9KSvJTJACA6tBXA0BlFHlANVJSUmS322Wz2Vym22w22e127twGABZAXw0AlVHkATXIyspSWlqay7S0tDRlZWUFKCIAwNnoqwHAFc/JA2oQFxen7Oxs5eXlKT8/n2cvAYAF0VcDgCuKPMANycnJ7DAAgMXRVwPAzxiuCQAAAAAhhCIPAAAAAEIIwzWBEOVwOFRQUMC1KQCCBv0WAHgHZ/KAEFNcXKz09HSlpqZq2LBhSklJUXp6ukpKSgIdGgBUiX4LALyLIg8IMZmZmcrNzXWZlpubq4yMjABFBAA1o98CAO+iyANCiMPhUE5OjsrLy12ml5eXKycnR3l5eQGKDACqRr8FAN5HkYdacTgcWrp0KUnYIgoKCmqcn5+f76dIAMA99FsIZewnIVAo8nBeuH7Cmjp06FDj/KSkJD9FAgDuod9CKGI/CYFGkQePORwODR48mOsnLCglJUV2u102m81lus1mk91u5251ACzHn/0WZ1XgL1xnikCjyIPbzjwqtXHjRq6fsKisrCylpaW5TEtLS1NWVlaAIgKAmvm63wqGsyoUoKGD60xhBTwnD26r6qhUVfLz8zljFEBxcXHKzs5WXl6e8vPzed4UAMvzdb9V01mV7Oxsr33P+SguLlZmZqZycnKc0+x2u7KyshQXFxfAyHC+3LnOlLwMX4swxphABxEMysrKFBsbq9LSUjVu3DjQ4fidw+FQamqq223pvAB4W7j3w1YQjNvgXPkr0DkrPT1dubm5Lmd9bDab0tLSAl6A4vxY/TeH4OZuP8xwTbjlXEelTrvqqqvouAAAlmHlu3cyrC80cX08rIAiD245193PThs7dqyPIwEAwH1WvnunlQtQ1A7XxyPQKPLgltNHpSIja/7JdO/e3U8RAQBwblY+q2LlAhS1c/o6U4fDoSVLlsjhcCg7O5vrLOE3FHlh6nzu4pWVlaXBgwdXOc8KyRIAgKpY9ayKlQtQeEdycrKGDh0adtuSu8UGHkVemKnNbaRPH5Vav369LrvsMpd5VkiWAABUxcpnVaxagALnIxgeVxIuuLumm4LxjmJV8eZdvLhFPwB/CpV+OJixDXyHnIpQwN1ifc/dfpgiz02hkNi4pS+AYBYK/XCwYxsAqA77mf7BIxRQCXfxAgAAgC+wn2ktFHlhhLt4AQAAwBfYz7QWirwwwl28AAAA4AvsZ1oLRV6Y4S5eAAAA8AX2M62jTqADgH+dvo00d/ECAACAN7GfaR0UeWEqOTmZf3QAAADwOvYzA4/hmgAAAAAQQijyAAAAACCEUOQBAAAAQAihyAMAAACAEEKRBwAAAAAhhCIPAAAAAEIIRR4AAAAAhBCKPAAAAAAIIRR5AAAAABBCKPIAAAAAIIRQ5AEAAABACKHIAwAAAIAQElZF3osvvqj27durXr166tGjh1avXh3okAAA8CtyIQCEvrAp8t555x2NHz9ejz76qDZt2qSrrrpKQ4cO1e7duwMdGgAAfkEuBIDwEGGMMYEOwh969eqlyy67TC+99JJz2sUXX6wbbrhB06ZNO+f7y8rKFBsbq9LSUjVu3NiXoQIAqkA/XHvkQgAIbu72w2FxJu/EiRPasGGDhgwZ4jJ9yJAhWrt2bYCiAgDAf8iFABA+6gQ6AH/46aefVF5ervj4eJfp8fHxKiwsrPI9x48f1/Hjx51/l5aWSvq5egYA+N/p/jdMBqB4HbkQAIKfu7kwLIq80yIiIlz+NsZUmnbatGnT9MQTT1Sa3qZNG5/EBgBwz/79+xUbGxvoMIIWuRAAgt/BgwdrzIVhUeQ1a9ZMNput0pHKoqKiSkc0T5s4caIeeOAB598HDhxQu3bttHv37pDfuSgrK1ObNm20Z8+ekL/mgmUNTSxraCotLVXbtm3VpEmTQIcSlLyRCysqKlRcXKymTZtWWxiGq3D6t+htrLvzw3o7f8G87owxOnjwoBITE2tsFxZFXt26ddWjRw8tW7ZMN954o3P6smXLdP3111f5nujoaEVHR1eaHhsbG3Q/hvPVuHFjljUEsayhKZyWNTIyLC4n9zpv5cILLrjAl2EGvXD6t+htrLvzw3o7f8G67tw54RQWRZ4kPfDAAxo5cqR69uypPn36aM6cOdq9e7fGjBkT6NAAAPALciEAhIewKfJuvfVW7d+/X08++aT27dunzp07a8mSJWrXrl2gQwMAwC/IhQAQHsKmyJOke+65R/fcc895vTc6OlqTJk2qcghnqGFZQxPLGppYVniqNrkQ1eP3ef5Yd+eH9Xb+wmHdhc3D0AEAAAAgHHD1OgAAAACEEIo8AAAAAAghFHkAAAAAEEIo8tzw4osvqn379qpXr5569Oih1atXBzokj02ePFkREREur4SEBOd8Y4wmT56sxMRE1a9fXwMGDND27dtdPuP48eMaN26cmjVrpoYNG2rEiBH6/vvv/b0olXz66ae67rrrlJiYqIiICH3wwQcu8721bCUlJRo5cqRiY2MVGxurkSNH6sCBAz5eOlfnWtY77rij0nbu3bu3S5tgWNZp06bp8ssvV0xMjFq0aKEbbrhBO3fudGkTKtvVnWUNle360ksvqWvXrs7nEvXp00dLly51zg+VbYrgda4+9ocfftAdd9yhxMRENWjQQOnp6crLy3NpU1BQoBtvvFHNmzdX48aNdcstt+iHH35waRNqv9Fw6rO9yVvrbc6cORowYIAaN26siIiIKtdHKK03yTvrrri4WOPGjVNqaqoaNGigtm3b6r777lNpaanL5wTtujOo0YIFC0xUVJR5+eWXzY4dO8z9999vGjZsaL777rtAh+aRSZMmmUsuucTs27fP+SoqKnLOnz59uomJiTELFy40W7duNbfeeqtp2bKlKSsrc7YZM2aMadWqlVm2bJnZuHGjGThwoOnWrZs5depUIBbJacmSJebRRx81CxcuNJLMokWLXOZ7a9nS09NN586dzdq1a83atWtN586dzfDhw/21mMaYcy/rqFGjTHp6ust23r9/v0ubYFhWu91u5s2bZ7Zt22Y2b95srr32WtO2bVtz6NAhZ5tQ2a7uLGuobNfFixebjz76yOzcudPs3LnT/OlPfzJRUVFm27ZtxpjQ2aYIXjX1sRUVFaZ3797mqquuMl988YX55ptvzO9+9zuXf6+HDh0yF110kbnxxhvNli1bzJYtW8z1119vLr/8clNeXu78rFD7jYZTn+1N3lpvs2bNMtOmTTPTpk0zkkxJSUml7wql9WaMd9bd1q1bzU033WQWL15s8vPzzSeffGKSk5PNL37xC5fvCtZ1R5F3DldccYUZM2aMy7SOHTuaP/7xjwGK6PxMmjTJdOvWrcp5FRUVJiEhwUyfPt057dixYyY2NtbMnj3bGGPMgQMHTFRUlFmwYIGzzd69e01kZKTJzs72aeyeqCope2PZduzYYSSZzz//3Nlm3bp1RpL55ptvfLxUVauuyLv++uurfU+wLmtRUZGRZFatWmWMCe3tevayGhO629UYY+Li4swrr7wS0tsUwensPnbnzp1GkvOghDHGnDp1yjRp0sS8/PLLxhhjcnJyTGRkpCktLXW2KS4uNpLMsmXLjDHh8RsNpz7bm85nvZ1pxYoVVRZ5ob7ejKn9ujvt3XffNXXr1jUnT540xgT3umO4Zg1OnDihDRs2aMiQIS7ThwwZorVr1wYoqvOXl5enxMREtW/fXr/61a/07bffSpJ27dqlwsJCl+WMjo5W//79ncu5YcMGnTx50qVNYmKiOnfubOl14a1lW7dunWJjY9WrVy9nm969eys2NtZyy79y5Uq1aNFCKSkpuuuuu1RUVOScF6zLenroRJMmTSSF9nY9e1lPC7XtWl5ergULFujw4cPq06dPSG9ThIbjx49LkurVq+ecZrPZVLduXa1Zs8bZJiIiwuXZW/Xq1VNkZKSzTTj8RsOpz/am81lv7gj19SZ5b92VlpaqcePGqlPn50eJB/O6o8irwU8//aTy8nLFx8e7TI+Pj1dhYWGAojo/vXr10uuvv66cnBy9/PLLKiwsVN++fbV//37nstS0nIWFhapbt67i4uKqbWNF3lq2wsJCtWjRotLnt2jRwlLLP3ToUL311ltavny5nnnmGa1fv17XXHONc+ckGJfVGKMHHnhAV155pTp37iwpdLdrVcsqhdZ23bp1qxo1aqTo6GiNGTNGixYtUqdOnUJ2myJ0dOzYUe3atdPEiRNVUlKiEydOaPr06SosLNS+ffsk/bzz17BhQz3yyCM6cuSIDh8+rIceekgVFRXONqH+Gw2nPtubzne9uSOU15vkvXW3f/9+TZkyRXfffbdzWjCvuzqBDiAYREREuPxtjKk0zeqGDh3q/P8uXbqoT58+6tChg1577TXnDRzOZzmDZV14Y9mqam+15b/11lud/9+5c2f17NlT7dq100cffaSbbrqp2vdZeVnHjh2rLVu2OI+CnynUtmt1yxpK2zU1NVWbN2/WgQMHtHDhQo0aNUqrVq2qNsZg36YIHVFRUVq4cKFGjx6tJk2ayGazKS0tzSW/Nm/eXO+9955+//vf69lnn1VkZKQyMjJ02WWXyWazOduF8m80nPpsb/L2ejvXZ5zv51iRN9ZdWVmZrr32WnXq1EmTJk2q8TNq+hwr4UxeDZo1ayabzVapUi8qKqp0ZCDYNGzYUF26dFFeXp7zLps1LWdCQoJOnDihkpKSattYkbeWLSEhodLd0STpxx9/tPTyt2zZUu3atXPe/S3YlnXcuHFavHixVqxYodatWzunh+J2rW5ZqxLM27Vu3bpKSkpSz549NW3aNHXr1k1/+9vfQnKbIvT06NHDeZBi3759ys7O1v79+9W+fXtnmyFDhqigoEBFRUX66aef9MYbb2jv3r3ONqH8Gw2nPtubarPe3BGq603yzro7ePCg0tPT1ahRIy1atEhRUVEunxOs644irwZ169ZVjx49tGzZMpfpy5YtU9++fQMUlXccP35cX3/9tVq2bKn27dsrISHBZTlPnDihVatWOZezR48eioqKcmmzb98+bdu2zdLrwlvL1qdPH5WWluqLL75wtvn3v/+t0tJSSy///v37tWfPHrVs2VJS8CyrMUZjx47VP/7xDy1fvtxlB0oKre16rmWtSrBu16oYY3T8+PGQ2qYIfbGxsWrevLny8vL05Zdf6vrrr6/UplmzZrrgggu0fPlyFRUVacSIEZJC8zcaTn22N3ljvbkj1Nab5L11V1ZWpiFDhqhu3bpavHixyzW3UpCvOx/f2CXonX6Ewty5c82OHTvM+PHjTcOGDc1//vOfQIfmkQcffNCsXLnSfPvtt+bzzz83w4cPNzExMc7lmD59uomNjTX/+Mc/zNatW01GRkaVtzZu3bq1yc3NNRs3bjTXXHONJR6hcPDgQbNp0yazadMmI8nMnDnTbNq0yfmYC28tW3p6uunatatZt26dWbdunenSpYvfb6Fb07IePHjQPPjgg2bt2rVm165dZsWKFaZPnz6mVatWQbesv//9701sbKxZuXKly2MDjhw54mwTKtv1XMsaStt14sSJ5tNPPzW7du0yW7ZsMX/6059MZGSk+fjjj40xobNNEbzOlU/effdds2LFClNQUGA++OAD065dO3PTTTe5fMarr75q1q1bZ/Lz880bb7xhmjRpYh544AGXNqH2Gw2nPtubvLXe9u3bZzZt2mRefvllI8l8+umnZtOmTS6P2gml9WaMd9ZdWVmZ6dWrl+nSpYvJz893+ZxQ+M1R5LnhhRdeMO3atTN169Y1l112mcutzYPF6WeDREVFmcTERHPTTTeZ7du3O+dXVFSYSZMmmYSEBBMdHW2uvvpqs3XrVpfPOHr0qBk7dqxp0qSJqV+/vhk+fLjZvXu3vxelktO3DD77NWrUKGOM95Zt//795rbbbjMxMTEmJibG3HbbbVU+i8aXalrWI0eOmCFDhpjmzZubqKgo07ZtWzNq1KhKyxEMy1rVMkoy8+bNc7YJle16rmUNpe165513OvvS5s2bm0GDBjkLPGNCZ5sieJ0rn/ztb38zrVu3dv5b/POf/2yOHz/u8hmPPPKIiY+PN1FRUSY5Odk888wzpqKiwqVNqP1Gw6nP9iZvrbdJkyad83NCab0Z4511V92/d0lm165dznbBuu4ijDHGO+cEAQAAAACBxjV5AAAAABBCKPIAAAAAIIRQ5AEAAABACKHIAwAAAIAQQpEHAAAAACGEIg8AAAAAQghFHgAAAACEEIo8AAAAAAghFHkIqIiICH3wwQeSpP/85z+KiIjQ5s2bq22/cuVKRURE6MCBA36JD6Fp7ty5GjJkSEC+e8KECbrvvvsC8t0AACA8UOTBZ4qKinT33Xerbdu2io6OVkJCgux2u9atW1dl+zZt2mjfvn3q3Lmzz2M7ceKEZsyYoW7duqlBgwZq1qyZ+vXrp3nz5unkyZM+//5wcq7fwa9+9SsNHTrU5T1Lly5VRESEHnvsMZfpU6ZMUWJioqT/HRSo6vX5559XG8/x48f1+OOPV/psf3n44Yc1b9487dq1KyDfDwD+NHv2bMXExOjUqVPOaYcOHVJUVJSuuuoql7arV69WRESEHA7HOT/Xlwd9HQ6HGjRooLfffttlekVFhfr27asbb7zR698JeFudQAeA0PWLX/xCJ0+e1GuvvaaLLrpIP/zwgz755BMVFxdX2d5msykhIcHncZ04cUJ2u11fffWVpkyZon79+qlx48b6/PPP9X//93/q3r27Lr30Up/HES7O9TsYOHCgJkyYoFOnTqlOnZ+7pJUrV6pNmzZasWKFy2etXLlSAwcOdJmWm5urSy65xGVa06ZNq41n4cKFatSoUaWdC39p0aKFhgwZotmzZ+vpp58OSAwA4C8DBw7UoUOH9OWXX6p3796Sfi7mEhIStH79eh05ckQNGjSQ9HMfn5iYqJSUFL/FZ4xReXm5M/9IUkpKiqZPn65x48Zp4MCBatmypSTpmWeeUX5+vnMEkjedPHlSUVFRXv9chDED+EBJSYmRZFauXFljO0lm0aJFxhhjdu3aZSSZTZs2Oed/9NFHJjk52dSrV88MGDDAzJs3z0gyJSUlzjafffaZueqqq0y9evVM69atzbhx48yhQ4eq/c6nn37aREZGmo0bN1aad+LECed7ly5davr162diY2NNkyZNzLXXXmvy8/OdbU/Hu3DhQjNgwABTv35907VrV7N27VpjjDGHDh0yMTEx5r333nP5jsWLF5sGDRqYsrIyY4wxW7ZsMQMHDjT16tUzTZo0MXfddZc5ePCgs/2oUaPM9ddfb/7617+ahIQE06RJE3PPPfeYEydOVLuMkyZNMt26dTNz5841bdq0MQ0bNjRjxowxp06dMk8//bSJj483zZs3N3/5y19c3vfMM8+Yzp07mwYNGpjWrVub3//+9y6x/OY3vzFdunQxx44dc66vyy67zGRmZlYZhzu/g507dxpJZt26dc5pV1xxhXnhhRdM3bp1zeHDh40xxhw/ftzUr1/fvPzyyy7r/8zfizuuu+46M2HCBJdpp9fxU089ZVq0aGFiY2PN5MmTzcmTJ82ECRNMXFycadWqlZk7d67zPae//5133jFXXnmlqVevnunZs6fZuXOn+eKLL0yPHj1Mw4YNjd1uN0VFRS7fN3/+fNOmTRuP4gaAYJWYmGimTZvm/Pvhhx829957r+nUqZNZtmyZc/o111xjbrvtNmOMMW+88Ybp0aOHadSokYmPjzcZGRnmhx9+MMb8r/898zVq1ChjjDEVFRXm6aefNu3btzf16tUzXbt2dcnDK1asMJJMdna26dGjh4mKijLLly+vFHNFRYW55pprzLXXXmuMMebrr7829erVc+6zvPrqq6Zjx44mOjrapKammhdeeMHl/Q8//LBJTk429evXN+3btzd//vOfXfL2mXm6ffv2JiIiwlRUVNRiLQOuKPLgEydPnjSNGjUy48ePdxYEVampyNu9e7eJjo42999/v/nmm2/Mm2++aeLj412KvC1btphGjRqZWbNmGYfDYT777DPTvXt3c8cdd1T7nV27djVDhgw55zK8//77ZuHChcbhcJhNmzaZ6667znTp0sWUl5e7xNuxY0fz4Ycfmp07d5qbb77ZtGvXzpw8edIYY8xdd91lhg0b5vK5N954o7n99tuNMcYcPnzYJCYmmptuusls3brVfPLJJ6Z9+/bOZGXMzwVI48aNzZgxY8zXX39t/vWvf5kGDRqYOXPmVBv7pEmTTKNGjczNN99stm/fbhYvXmzq1q1r7Ha7GTdunPnmm2/Mq6++Wqm4mjVrllm+fLn59ttvzSeffGJSU1PN73//e+f8gwcPmosuusiMHz/eGGPMI488Ytq2bWsOHDhQZRzu/g4SExPN1KlTjTHGlJWVmTp16piioiJz8cUXm48//tgYY8yqVauMJGehfb5F3gUXXGAWLFjgMm3UqFEmJibG3Hvvveabb74xc+fONZKM3W43Tz31lHE4HGbKlCkmKirK7N692+X7O3bsaLKzs82OHTtM7969zWWXXWYGDBhg1qxZYzZu3GiSkpLMmDFjXL5vx44dRpL5z3/+41HsABCMMjMzXfLu5Zdfbt577z3z+9//3vzpT38yxvzvQN4rr7xijDFm7ty5ZsmSJaagoMCsW7fO9O7d2wwdOtQYY8ypU6fMwoULjSSzc+dOs2/fPmce+tOf/uTslwsKCsy8efNMdHS082Dj6SKva9eu5uOPPzb5+fnmp59+qjLu7777zjRu3NjMmTPH9OrVy5mb58yZY1q2bGkWLlxovv32W7Nw4ULTpEkTM3/+fOd7p0yZYj777DOza9cus3jxYhMfH2+efvpp5/xJkyY5DwRu3LjRfPXVVxR58CqKPPjM+++/b+Li4ky9evVM3759zcSJE81XX33l0qamIm/ixInm4osvdun0HnnkEZcib+TIkeZ3v/udy2euXr3aREZGmqNHj1YZV/369c19993n8fIUFRUZSWbr1q0u8Z5OSMYYs337diPJfP3118YYY/79738bm81m9u7da4wx5scffzRRUVHOZDNnzhwTFxfncubxo48+MpGRkaawsNAY83MB0q5dO3Pq1Clnm1/+8pfm1ltvrTbWSZMmuZwtNMYYu91uLrzwQmeRaowxqampLkdXz/buu++apk2bukxbu3atiYqKMo899pipU6eOWbVqVbXvN8a938GZOwAfffSR6dSpkzHGmDFjxjh3AJ544gmXs1+n13/9+vVNw4YNXV5nrqsznT6z+Omnn7pMP72Oz143V111lfPvU6dOmYYNG5qsrCyX7z9z+2dlZRlJ5pNPPnFOmzZtmklNTXX5vtLSUrfOdANAKJgzZ45p2LChOXnypPNA3g8//GAWLFhg+vbta4z534G8goKCKj/jiy++MJKco0tOF2tnjuw5dOiQqVevnnNEzWmjR482GRkZLu/74IMP3Ir91VdfNZGRkaZNmzbOQrJNmzbm7bffdmk3ZcoU06dPn2o/Z8aMGaZHjx7OvydNmmSioqIqjfQAvIUbr8BnfvGLX+i///2vFi9eLLvdrpUrV+qyyy7T/Pnz3Xr/119/rd69eysiIsI5rU+fPi5tNmzYoPnz56tRo0bOl91uV0VFRbU3tjDGuHxmdQoKCpSZmamLLrpIjRs3Vvv27SVJu3fvdmnXtWtX5/+fHrdfVFQkSbriiit0ySWX6PXXX5ckvfHGG2rbtq2uvvpq5zJ269ZNDRs2dH5Gv379VFFRoZ07dzqnXXLJJbLZbC7fc/o7qnPhhRcqJibG+Xd8fLw6deqkyMhIl2lnfs6KFSs0ePBgtWrVSjExMbr99tu1f/9+HT582NmmT58+mjBhgqZMmaIHH3zQuSzVced3MHDgQH322Wc6efKkVq5cqQEDBkiS+vfvr5UrV0r6+VqNa665ptLnv/POO9q8ebPL68x1daajR49KkurVq1dp3iWXXFJp3XTp0sX5t81mU9OmTSut9zO3f3x8vCS5vO/sdSxJ9evXlyQdOXKkyjgBIJQMHDhQhw8f1vr167V69WqlpKSoRYsW6t+/v9avX6/Dhw9r5cqVatu2rS666CJJ0qZNm3T99derXbt2iomJceaFs3PwmXbs2KFjx45p8ODBLvsFr7/+ugoKClza9uzZ063Yf/Ob36hly5a67777FBsbqx9//FF79uzR6NGjXb7jL3/5i8t3vP/++7ryyiuVkJCgRo0a6bHHHqsUe7t27dS8eXO34gA8RZEHn6pXr54GDx6sxx9/XGvXrtUdd9yhSZMmufVeY8w521RUVOjuu+922cH/6quvlJeXpw4dOlT5npSUFH399dfn/OzrrrtO+/fv18svv6x///vf+ve//y3p5xu3nOnMC6VPF48VFRXOab/97W81b948SdK8efP0m9/8xtmupoLzzOlnX4wdERHh8h1Vqeo9NX3Od999p2HDhqlz585auHChNmzYoBdeeEGSXO44WlFRoc8++0w2m015eXk1xnDauX4HZ+4ArFixQv3795ck5w5AcXGx1q1bV+mmK9LPd2VNSkpyeVWnadOmioiIUElJSaV5nq6vqt53epudPe3s95y+6QzJHUA4SEpKUuvWrbVixQqXPj4hIUHt27fXZ599phUrVjgP5B0+fFhDhgxRo0aN9Oabb2r9+vVatGiRpMo5+Eyn+9qPPvrIZb9gx44dev/9913annlw9Vzq1KnjvDHL6e94+eWXXb5j27Ztzjs7f/755847R3/44YfatGmTHn300UqxexID4CmKPPhVp06dXM4Knavt2bfCP/vvyy67TNu3b6+0k5+UlKS6detW+bmZmZnKzc3Vpk2bKs07deqUDh8+rP379+vrr7/Wn//8Zw0aNEgXX3xxlYWBO379619r9+7devbZZ7V9+3aNGjXKZRk3b97ssk4+++wzRUZG+vXuYpL05Zdf6tSpU3rmmWfUu3dvpaSk6L///W+ldn/961/19ddfa9WqVcrJyXEWsJ44+3fQoUMHtWnTRosXL9bmzZudOwAtW7bUhRdeqGeeeUbHjh2rssjzRN26ddWpUyft2LGjVp9TW9u2bVNUVFSlu4ICQKgaOHCgVq5c6TJaQ/r5YF5OTo4+//xzZx//zTff6KefftL06dN11VVXqWPHjpVGRJzO8eXl5c5pnTp1UnR0tHbv3l1pn6BNmzZeWY74+Hi1atVK3377baXvOD3i57PPPlO7du306KOPqmfPnkpOTtZ3333nle8H3EWRB5/Yv3+/rrnmGr355pvasmWLdu3apffee08zZszQ9ddf79ZnjBkzRgUFBXrggQe0c+dOvf3225WGej7yyCNat26d7r33Xm3evFl5eXlavHixxo0bV+3njh8/Xv369dOgQYP0wgsv6KuvvtK3336rd999V7169VJeXp7i4uLUtGlTzZkzR/n5+Vq+fLkeeOCB81oXcXFxuummm/TQQw9pyJAhat26tXPebbfdpnr16mnUqFHatm2bVqxYoXHjxmnkyJHOoX/+0qFDB506dUrPPfecvv32W73xxhuaPXu2S5vNmzfr8ccf19y5c9WvXz/97W9/0/33369vv/22ys/05HcwcOBAvfjii0pKSnJZ9v79++u5557TRRddpLZt21b5HYWFhS6vY8eOVbucdrtda9as8WTVeN3q1at11VVXOYdtAkCoGzhwoNasWeNyIE/6uY9/+eWXXQ7ktW3bVnXr1nXmo8WLF2vKlCkun9euXTtFREToww8/1I8//qhDhw4pJiZGEyZM0B/+8Ae99tprKigo0KZNm/TCCy/otdde89qyTJ48WdOmTdPf/vY3ORwObd26VfPmzdPMmTMl/Xzmcvfu3VqwYIEKCgr07LPPOs9EAv5CkQefaNSokXr16qVZs2bp6quvVufOnfXYY4/prrvu0vPPP+/WZ7Rt21YLFy7Uv/71L3Xr1k2zZ8/W1KlTXdp07dpVq1atUl5enq666ip1795djz32mPPauKpER0dr2bJlevjhh/X3v/9dvXv31uWXX65nn31W9913nzp37qzIyEgtWLBAGzZsUOfOnfWHP/xBf/3rX897fYwePVonTpzQnXfe6TK9QYMGysnJUXFxsS6//HLdfPPNGjRokNvryJsuvfRSzZw5U08//bQ6d+6st956S9OmTXPOP3bsmG677Tbdcccduu666yT9vFxpaWkaOXKky9HU0zz5HQwcOFAHDx50OcIr/bwDcPDgwWrP4qWlpally5Yur5qeYXTXXXdpyZIlKi0tdXPNeF9WVpbuuuuugH0/APjbwIEDdfTo0SoP5B08eNA5okP6eSj7/Pnz9d5776lTp06aPn26/u///s/l81q1aqUnnnhCf/zjHxUfH6+xY8dKkqZMmaLHH39c06ZN08UXXyy73a5//etfzrNs3vDb3/5Wr7zyiubPn68uXbqof//+mj9/vvM7rr/+ev3hD3/Q2LFjdemll2rt2rV67LHHvPb9gDsijDsXPgGolbfeekv333+//vvf/1Y7jBT+c8stt6h79+6aOHGi37/7o48+0kMPPaQtW7a4PHwXAADAWziTB/jQkSNHtH37dk2bNk133303BZ5F/PWvf1WjRo0C8t2HDx/WvHnzKPAAAIDPcCYP8KHJkyfrqaee0tVXX61//vOfASssAAAAED4o8gAAAAAghDBcEwAAAABCCEUeAAAAAIQQijwAAAAACCEUeQAAAAAQQijyAAAAACCEUOQBAAAAQAihyAMAAACAEEKRBwAAAAAhhCIPAAAAAELI/wek70rG/0m1fQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2] = plt.subplots(nrows=1, ncols=2, figsize=(9,4), tight_layout=True)\n", "\n", "# Scatterplot of SLI and BLC SWE\n", "data.plot.scatter(x='SLI_max', y='BLC_max', c='k', ax=ax1);\n", "ax1.set_xlabel('Slide Canyon max SWE (mm)')\n", "ax1.set_ylabel('Blue Canyon max SWE (mm)');\n", "ax1.set_xlim((0,3000))\n", "ax1.set_ylim((0,1000));\n", "\n", "# Scatterplot of Time and BLC SWE\n", "data.plot.scatter(x='years', y='BLC_max', c='k', ax=ax2);\n", "ax2.set_xlabel('Water Year')\n", "ax2.set_ylabel('Blue Canyon max SWE (mm)');\n", "ax2.set_ylim((0,1000));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also use a function like the [scatterplot matrix](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.plotting.scatter_matrix.html) in pandas to plot each variable against each other variable (such as for visualizing correlation between all our variables). By default it's not the best looking plot, but there are plenty of options in the documentation to improve the appearance." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pd.plotting.scatter_matrix(data, figsize=(6,6), color='k', marker='.', alpha=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also calculate the correlation coefficient between the variables we plotted here to quantify (not only visualize) how well they are correlated. The below function, shared by a student taking this class, illustrates a way to calculate and plot this." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def cross_corr(\n", " data_frame, # panda dataframe\n", " method:str='pearson', # type of correlation: either {'pearson', 'kendall', 'spearman'}\n", " title:str=None, # a string representing the title of your plot\n", " figsize:tuple=(10,10), # a tuple\n", " )->None:\n", " \n", " \"\"\"\n", " This function performs the cross correlation on all the variables in panda datafram\n", " and plots the data in the form of a matrix of cross correlation.\n", " \n", " Arguments:\n", " data_frame: a panda dataframe\n", " \n", " Optional arguments:\n", " method: default='pearson'; type of correlation: either {'pearson', 'kendall', 'spearman'}\n", " title: default=None; a string representing the tiltle of your plot\n", " figsize: default=(10,10); # a tuple\n", " \n", " This function adapted from Collins Owusu [https://github.com/collinsowusu]\n", " and modified by George Darkwah for the CEWA 465/565 - Data Analysis in Water Sciences class.\n", " \"\"\"\n", " import pandas as pd\n", " import seaborn\n", " import matplotlib.pyplot as plt\n", " import numpy as np\n", "\n", " colormap = plt.cm.RdBu\n", " # plt.figure(figsize=(6,6), dpi=300)\n", " plt.figure(figsize=figsize,)\n", " mask = np.zeros_like(data_frame.corr(method=method))\n", " mask[np.triu_indices_from(mask)]=True\n", " svm = seaborn.heatmap(data_frame.corr(method=method), mask=mask, linewidths=0.1, vmax=1.0, square=True, cmap=colormap, linecolor='white', annot=True, annot_kws={\"size\":12}).set(title=title)\n", " \n", " plt.show();" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cross_corr(data);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above shows what you can determine by eye from the prior plot. Blue Canyon SWE (BLC_max) is correlated with both time (year) and with Slide Canyon SWE (SLI_max), but Slide Canyon SWE is not correlated with time." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the multiple linear regression, we'll use the scipy linear algebra least-squares function, [`scipy.linalg.lstsq()`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lstsq.html#scipy.linalg.lstsq)." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[0;31mSignature:\u001b[0m\n", "\u001b[0mlstsq\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mcond\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0moverwrite_a\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0moverwrite_b\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mcheck_finite\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mlapack_driver\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mDocstring:\u001b[0m\n", "Compute least-squares solution to equation Ax = b.\n", "\n", "Compute a vector x such that the 2-norm ``|b - A x|`` is minimized.\n", "\n", "Parameters\n", "----------\n", "a : (M, N) array_like\n", " Left-hand side array\n", "b : (M,) or (M, K) array_like\n", " Right hand side array\n", "cond : float, optional\n", " Cutoff for 'small' singular values; used to determine effective\n", " rank of a. Singular values smaller than\n", " ``cond * largest_singular_value`` are considered zero.\n", "overwrite_a : bool, optional\n", " Discard data in `a` (may enhance performance). Default is False.\n", "overwrite_b : bool, optional\n", " Discard data in `b` (may enhance performance). Default is False.\n", "check_finite : bool, optional\n", " Whether to check that the input matrices contain only finite numbers.\n", " Disabling may give a performance gain, but may result in problems\n", " (crashes, non-termination) if the inputs do contain infinities or NaNs.\n", "lapack_driver : str, optional\n", " Which LAPACK driver is used to solve the least-squares problem.\n", " Options are ``'gelsd'``, ``'gelsy'``, ``'gelss'``. Default\n", " (``'gelsd'``) is a good choice. However, ``'gelsy'`` can be slightly\n", " faster on many problems. ``'gelss'`` was used historically. It is\n", " generally slow but uses less memory.\n", "\n", " .. versionadded:: 0.17.0\n", "\n", "Returns\n", "-------\n", "x : (N,) or (N, K) ndarray\n", " Least-squares solution.\n", "residues : (K,) ndarray or float\n", " Square of the 2-norm for each column in ``b - a x``, if ``M > N`` and\n", " ``ndim(A) == n`` (returns a scalar if ``b`` is 1-D). Otherwise a\n", " (0,)-shaped array is returned.\n", "rank : int\n", " Effective rank of `a`.\n", "s : (min(M, N),) ndarray or None\n", " Singular values of `a`. The condition number of ``a`` is\n", " ``s[0] / s[-1]``.\n", "\n", "Raises\n", "------\n", "LinAlgError\n", " If computation does not converge.\n", "\n", "ValueError\n", " When parameters are not compatible.\n", "\n", "See Also\n", "--------\n", "scipy.optimize.nnls : linear least squares with non-negativity constraint\n", "\n", "Notes\n", "-----\n", "When ``'gelsy'`` is used as a driver, `residues` is set to a (0,)-shaped\n", "array and `s` is always ``None``.\n", "\n", "Examples\n", "--------\n", ">>> import numpy as np\n", ">>> from scipy.linalg import lstsq\n", ">>> import matplotlib.pyplot as plt\n", "\n", "Suppose we have the following data:\n", "\n", ">>> x = np.array([1, 2.5, 3.5, 4, 5, 7, 8.5])\n", ">>> y = np.array([0.3, 1.1, 1.5, 2.0, 3.2, 6.6, 8.6])\n", "\n", "We want to fit a quadratic polynomial of the form ``y = a + b*x**2``\n", "to this data. We first form the \"design matrix\" M, with a constant\n", "column of 1s and a column containing ``x**2``:\n", "\n", ">>> M = x[:, np.newaxis]**[0, 2]\n", ">>> M\n", "array([[ 1. , 1. ],\n", " [ 1. , 6.25],\n", " [ 1. , 12.25],\n", " [ 1. , 16. ],\n", " [ 1. , 25. ],\n", " [ 1. , 49. ],\n", " [ 1. , 72.25]])\n", "\n", "We want to find the least-squares solution to ``M.dot(p) = y``,\n", "where ``p`` is a vector with length 2 that holds the parameters\n", "``a`` and ``b``.\n", "\n", ">>> p, res, rnk, s = lstsq(M, y)\n", ">>> p\n", "array([ 0.20925829, 0.12013861])\n", "\n", "Plot the data and the fitted curve.\n", "\n", ">>> plt.plot(x, y, 'o', label='data')\n", ">>> xx = np.linspace(0, 9, 101)\n", ">>> yy = p[0] + p[1]*xx**2\n", ">>> plt.plot(xx, yy, label='least squares fit, $y = a + bx^2$')\n", ">>> plt.xlabel('x')\n", ">>> plt.ylabel('y')\n", ">>> plt.legend(framealpha=1, shadow=True)\n", ">>> plt.grid(alpha=0.25)\n", ">>> plt.show()\n", "\u001b[0;31mFile:\u001b[0m /opt/conda/lib/python3.10/site-packages/scipy/linalg/_basic.py\n", "\u001b[0;31mType:\u001b[0m function" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# check out the function's documentation\n", "lstsq?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the [documentation for this function](https://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.lstsq.html#scipy.linalg.lstsq) states that it requires input of an array that includes vectors of all of the predictor variables we are considering.\n", "\n", "Below, we create an array made up of the maximum annual SWE at Slide Canyon and the year. We also need an array of ones (which allows for a constant term, the intercept, in the regression)." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(35, 3)\n", "(35,)\n" ] } ], "source": [ "years_array = np.linspace(1,data.years.size,data.years.size)\n", "\n", "# create the input array\n", "multi_input = np.array([ \n", " data.SLI_max, # SWE at slide canyon\n", " years_array, # instead of the actual year numbers, just use a count of years starting at 1\n", " np.ones_like(data.years) # array of ones so we allow a constant, y-intercept, value\n", " ]).T # Transform this array with \".T\" to swap rows and columns\n", "\n", "# Show the shapes of our two inputs to the lstsq function to make sure they have the same first dimension length\n", "print(multi_input.shape)\n", "print(data.BLC_max.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now use the lstsq function and print the resulting regression parameters." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.3393747 12.94627806 -210.23759614]\n" ] } ], "source": [ "B, _, _, _ = lstsq(multi_input, data.BLC_max) # I'm using \"_\" as a placeholder for the outputs I don't need\n", "print(B)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The values of B, above, show the coefficients we would assing to the Slide Canyon SWE (B[0]), the year (B[1]), and the constant offset (B[2]), in the order shown." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Make predictions with our linear model**\n", "\n", "Here we're using the [`.dot()`](https://numpy.org/doc/stable/reference/generated/numpy.dot.html) method to take the dot product between our input array and output regression coefficients." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# Use our linear model to make predictions:\n", "BLC_multiple_linear_model = multi_input.dot(B)\n", "\n", "# We could also do it this way:\n", "#BLC_multiple_linear_model = B[0]*data.SLI_max + B[1]*years_array + B[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Plot residuals**\n", "\n", "We should make a plot of the residuals (actual - predicted values). For a good linear fit, we hope that our residuals are small, don't have any trends or patterns themselves, want them to be normally distributed.\n", "\n", "How do these compare to the residuals of the simple linear regression model?\n", "\n", "Generally, adding more predictors will always decrease the residual error in the region where the model is developed but may increase the error in a region outside of when it was developed. (To test this, it's best practice to keep some data separate from the regression model development and then test model performance there. You could take a subset of the data above, recalcuate the regression coefficients and then check your model prediction vs. observed for years outside of your original dataset to see if the mulitple regression actually improves your predictive capabilities.)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ml_residuals = data.BLC_max - BLC_multiple_linear_model\n", "\n", "f, (ax1, ax2) = plt.subplots(1,2,figsize=(9,4))\n", "\n", "ax1.plot(data.years,ml_residuals)\n", "ax1.set_xlabel('years')\n", "ax1.set_ylabel('residuals (mm SWE)')\n", "\n", "ax2.hist(ml_residuals)\n", "ax2.set_xlabel('residuals (mm SWE)')\n", "ax2.set_ylabel('count')\n", "\n", "f.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Now compare our simple regression model with our multi-regression model.** \n", "\n", "Plot the results from the two different regression methods. How and where are they different?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,5))\n", "\n", "# Original data\n", "data.plot(x='years', y='SLI_max', c='r', linestyle='-', linewidth=1, marker='x', ax=ax, label='Slide Canyon')\n", "data.plot(x='years', y='BLC_max', c='b', linestyle='-', linewidth=1, marker='.', ax=ax, label='Blue Canyon')\n", "\n", "# Plot the predicted SWE at Blue Canyon from the simple linear regression model\n", "ax.plot(data.years, BLC_linear_model, c='k', linestyle='--', linewidth=3, label='Blue Canyon Predicted with Simple Linear Regression')\n", "\n", "# Plot the predicted SWE at Blue Canyon from the multiple linear regression model\n", "ax.plot(data.years, BLC_multiple_linear_model, c='k', linestyle='-', linewidth=3, label='Blue Canyon Predicted with Multiple Linear Regression')\n", "\n", "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)', fontsize=15)\n", "ax.set_xlabel('Water Year', fontsize=12)\n", "ax.set_ylabel('Peak SWE (mm)', fontsize=12);\n", "plt.legend(loc=(0.2,-0.45), fontsize=12);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## Quantile Regression\n", "\n", "For completeness, we can also perform a quantile regression like in Lab 4-2, then compare all three types of regression models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create empirical CDFs for both SWE data sets" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "quantiles = np.linspace(0,1,100)\n", "\n", "# This is our empirical cdf of the Slide Canyon data, which also includes values down to 0 and up to 1.\n", "SLI_ordered = stats.mstats.mquantiles(data.SLI_max, quantiles)\n", "\n", "# This is our empirical cdf of the Blue Canyon data, which also includes values down to 0 and up to 1.\n", "BLC_ordered = stats.mstats.mquantiles(data.BLC_max, quantiles)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use the CDFs to \"look up\" SWE from Slide Canyon to predict SWE in Blue Canyon" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Create our interpolation function for looking up a quantile given a value of SWE at Slide Canyon\n", "f_SLI = interp1d(SLI_ordered, quantiles)\n", "# Create our interpolation function for looking up SWE at Blue Canyon given a quantile\n", "g_BLC = interp1d(quantiles, BLC_ordered)\n", "\n", "# Now, we can create a prediction for every value in the Slide Canyon dataset to come up with a matching prediction for the Blue Canyon dataset\n", "BLC_predicted=g_BLC( f_SLI( data.SLI_max ) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Plot the results from all three regression models together**" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,5))\n", "\n", "# Original data\n", "data.plot(x='years', y='SLI_max', c='r', linestyle='-', linewidth=1, marker='x', ax=ax, label='Slide Canyon')\n", "data.plot(x='years', y='BLC_max', c='b', linestyle='-', linewidth=1, marker='.', ax=ax, label='Blue Canyon')\n", "\n", "# Plot the predicted SWE at Blue Canyon from the simple linear regression model\n", "ax.plot(data.years, BLC_linear_model, c='k', linestyle='--', linewidth=3, label='Blue Canyon Predicted with Simple Linear Regression')\n", "\n", "# Plot the predicted SWE at Blue Canyon from the multiple linear regression model\n", "ax.plot(data.years, BLC_multiple_linear_model, c='k', linestyle='-', linewidth=3, label='Blue Canyon Predicted with Multiple Linear Regression')\n", "\n", "# Predicted with linear regression between Slide Canyon and Blue Canyon\n", "plt.plot(data.years,BLC_predicted, c='k', linestyle=':', linewidth=3, label='Blue Canyon Predicted from Quantile Regression')\n", "\n", "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)', fontsize=15)\n", "ax.set_xlabel('Water Year', fontsize=12)\n", "ax.set_ylabel('Peak SWE (mm)', fontsize=12);\n", "plt.legend(loc=(0.2,-0.5), fontsize=12);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Which of these models do you think would be the most appropriate here? What tools could you use to decide?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Food for Thought**\n", "When thinking about choice of models, it is always important to think about your underlying science or engineering questions. Why do we want to predict Blue Canyon from Slide Canyon? (One answer might be that all of these instruments are costly to maintain, so why do we need them all.) Another question might be, are we really using the best data for the task? (For example, our data is peak SWE each year, which sometimes occurs on different dates at the two sites. For example, sometimes Blue Canyon's peak SWE is in January, and Slide Canyon's peak SWE is in April -- does it make sense to compare these?) These details about snow science are beyond the scope of this class, but you should always think about your statistics and data analysis in the context of your science." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }