{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 4-1: Linear regression\n", "\n", "---" ] }, { "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", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load in a csv file with snow water equivalent (SWE) measurements from two snow pillow sites (which measure the mass of snow) in California's Sierra Nevada. \n", "\n", "(If you're interested, [read about SWE and snow pillows here](https://www.nrcs.usda.gov/wps/portal/wcc/home/dataAccessHelp/faqs/climateHydrologyFaqs))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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yearsBLC_maxSLI_max
019836882446
119841121471
219852161143
\n", "
" ], "text/plain": [ " years BLC_max SLI_max\n", "0 1983 688 2446\n", "1 1984 112 1471\n", "2 1985 216 1143" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('../data/pillows_example_2024.csv')\n", "# The original class lab uses pillows_example.csv, which goes through 2010\n", "# Sometimes people say that predictability from one snow site to another is changing. \n", "# Note, if you're curious to see whether we get the same results with more recent years, \n", "# instead use pillows_example_2024.csv\n", "\n", "data.head(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This data give us the peak SWE value (mm) at the Blue Canyon (BLC), and Slide Canyon (SLI) measurement sites.\n", "These sites are maintained by the California Department of Water Resources, with metadata for [Blue Canyon here](https://cdec.water.ca.gov/dynamicapp/staMeta?station_id=BLC) and for [Slide Canyon here](https://cdec.water.ca.gov/dynamicapp/staMeta?station_id=SLI). Note that they are in different watersheds and at different elevations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the SWE data from the two sites" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "data.plot(x='years', y='SLI_max', c='r', ax=ax, label='Slide Canyon')\n", "data.plot(x='years', y='BLC_max', c='b', ax=ax, label='Blue Canyon')\n", "\n", "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)')\n", "ax.set_xlabel('Water Year')\n", "ax.set_ylabel('Peak SWE (mm)');\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**What does the above plot show?**\n", "\n", "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.\n", "\n", "\n", "**The first step to any regression or correlation analysis is to create a scatter plot of the data.**\n" ] }, { "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": [ "---\n", "\n", "### Manual calculation of linear regression\n", "\n", "Here we'll first compute it manually, solving for our y-intercept, $B_0$, and slope $B_1$:\n", "\n", "$B_1 = \\displaystyle \\frac{n(\\sum_{i=1}^{n}x_iy_i)-(\\sum_{i=1}^{n}x_i)(\\sum_{i=1}^{n}y_i)}{n(\\sum_{i=1}^{n}x_i^2)-(\\sum_{i=1}^{n}x_i)^2}$\n", "\n", "$B_0 = \\displaystyle \\frac{(\\sum_{i=1}^{n}y_i)-B_1(\\sum_{i=1}^{n}x_i)}{n} = \\bar{y} - B_1\\bar{x}$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "B0 : 54.499\n", "B1 : 0.3113\n" ] } ], "source": [ "n = len(data) # length of our dataset\n", "\n", "x = data.SLI_max # using x for shorthand below\n", "y = data.BLC_max # using y for shorthand below\n", "\n", "B1 = ( n*np.sum(x*y) - np.sum(x)*np.sum(y) ) / ( n*np.sum(x**2) - np.sum(x)**2 ) # B1 parameter, slope\n", "B0 = np.mean(y) - B1*np.mean(x) # B0 parameter, y-intercept\n", "\n", "print('B0 : {}'.format(np.round(B0,4)))\n", "print('B1 : {}'.format(np.round(B1,4)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then our linear model to predict $y$ at each $x_i$ is: $\\hat{y}_i = B_0 + B_1x_i$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "y_predicted = B0 + B1*x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And our residuals are: $(y_i - \\hat{y}_i)$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "residuals = (y - y_predicted)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, compute our Sum of Squared Errors (from our residuals) and Total Sum of Squares to get the correlation coefficient, R, for this linear model.\n", "\n", "$SSE = \\displaystyle\\sum_{i=1}^{n} (y_i - \\hat{y}_i)^2$ \n", "\n", "$SST = \\displaystyle\\sum_{i=1}^{n} (y_i - \\bar{y}_i)^2$\n", "\n", "$R^2 = 1 - \\displaystyle \\frac{SSE}{SST}$\n", "\n", "And compute the standard error of the estimate, $\\sigma$ for this model.\n", "\n", "$\\sigma = \\sqrt{\\displaystyle\\frac{SSE}{(n-2)}}$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "sse = np.sum(residuals**2)\n", "\n", "sst = np.sum( (y - np.mean(y))**2 )\n", "\n", "r_squared = 1 - sse/sst\n", "r = np.sqrt(r_squared)\n", "\n", "sigma = np.sqrt(sse/(n-2))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SSE : 1694894.64 cfs\n", "SST : 2510327.54 cfs\n", "R^2 : 0.325\n", "R : 0.57\n", "sigma : 226.628\n" ] } ], "source": [ "print('SSE : {} cfs'.format(np.round(sse,2)))\n", "print('SST : {} cfs'.format(np.round(sst,2)))\n", "print('R^2 : {}'.format(np.round(r_squared,3)))\n", "print('R : {}'.format(np.round(r,3)))\n", "print('sigma : {}'.format(np.round(sigma,3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot our results:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2, ax3] = plt.subplots(nrows=1, ncols=3, figsize=(14,4), tight_layout=True)\n", "\n", "# Scatterplot\n", "data.plot.scatter(x='SLI_max', y='BLC_max', c='k', ax=ax1);\n", "\n", "# Plot the regression line, we only need two points to define a line, use xmin and xmax\n", "ax1.plot([x.min(), x.max()], [B0 + B1*x.min(), B0 + B1*x.max()] , '-r')\n", "\n", "ax1.set_xlabel('Slide Canyon max SWE (mm)')\n", "ax1.set_ylabel('Blue Canyon max SWE (mm)');\n", "\n", "ax1.set_xlim((0,3000))\n", "ax1.set_ylim((0,1000));\n", "\n", "# Plot the residuals\n", "ax2.plot(data.years,residuals,'-o')\n", "\n", "ax2.set_xlabel('Years')\n", "ax2.set_ylabel('Residuals, SWE (mm)');\n", "\n", "# Plot a histogram of the residuals\n", "ax3.hist(residuals, bins=10)\n", "\n", "ax3.set_xlabel('Residuals, SWE (mm)')\n", "ax3.set_ylabel('Number of Data Points');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "### Linear regression using the scipy library\n", "\n", "Now we'll use the `scipy.stats.linregress()` function to do the same thing. Review the documentation or help text for this function before proceeding. " ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[0;31mSignature:\u001b[0m \u001b[0mstats\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlinregress\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0malternative\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'two-sided'\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", "Calculate a linear least-squares regression for two sets of measurements.\n", "\n", "Parameters\n", "----------\n", "x, y : array_like\n", " Two sets of measurements. Both arrays should have the same length. If\n", " only `x` is given (and ``y=None``), then it must be a two-dimensional\n", " array where one dimension has length 2. The two sets of measurements\n", " are then found by splitting the array along the length-2 dimension. In\n", " the case where ``y=None`` and `x` is a 2x2 array, ``linregress(x)`` is\n", " equivalent to ``linregress(x[0], x[1])``.\n", "alternative : {'two-sided', 'less', 'greater'}, optional\n", " Defines the alternative hypothesis. Default is 'two-sided'.\n", " The following options are available:\n", "\n", " * 'two-sided': the slope of the regression line is nonzero\n", " * 'less': the slope of the regression line is less than zero\n", " * 'greater': the slope of the regression line is greater than zero\n", "\n", " .. versionadded:: 1.7.0\n", "\n", "Returns\n", "-------\n", "result : ``LinregressResult`` instance\n", " The return value is an object with the following attributes:\n", "\n", " slope : float\n", " Slope of the regression line.\n", " intercept : float\n", " Intercept of the regression line.\n", " rvalue : float\n", " The Pearson correlation coefficient. The square of ``rvalue``\n", " is equal to the coefficient of determination.\n", " pvalue : float\n", " The p-value for a hypothesis test whose null hypothesis is\n", " that the slope is zero, using Wald Test with t-distribution of\n", " the test statistic. See `alternative` above for alternative\n", " hypotheses.\n", " stderr : float\n", " Standard error of the estimated slope (gradient), under the\n", " assumption of residual normality.\n", " intercept_stderr : float\n", " Standard error of the estimated intercept, under the assumption\n", " of residual normality.\n", "\n", "See Also\n", "--------\n", "scipy.optimize.curve_fit :\n", " Use non-linear least squares to fit a function to data.\n", "scipy.optimize.leastsq :\n", " Minimize the sum of squares of a set of equations.\n", "\n", "Notes\n", "-----\n", "Missing values are considered pair-wise: if a value is missing in `x`,\n", "the corresponding value in `y` is masked.\n", "\n", "For compatibility with older versions of SciPy, the return value acts\n", "like a ``namedtuple`` of length 5, with fields ``slope``, ``intercept``,\n", "``rvalue``, ``pvalue`` and ``stderr``, so one can continue to write::\n", "\n", " slope, intercept, r, p, se = linregress(x, y)\n", "\n", "With that style, however, the standard error of the intercept is not\n", "available. To have access to all the computed values, including the\n", "standard error of the intercept, use the return value as an object\n", "with attributes, e.g.::\n", "\n", " result = linregress(x, y)\n", " print(result.intercept, result.intercept_stderr)\n", "\n", "Examples\n", "--------\n", ">>> import numpy as np\n", ">>> import matplotlib.pyplot as plt\n", ">>> from scipy import stats\n", ">>> rng = np.random.default_rng()\n", "\n", "Generate some data:\n", "\n", ">>> x = rng.random(10)\n", ">>> y = 1.6*x + rng.random(10)\n", "\n", "Perform the linear regression:\n", "\n", ">>> res = stats.linregress(x, y)\n", "\n", "Coefficient of determination (R-squared):\n", "\n", ">>> print(f\"R-squared: {res.rvalue**2:.6f}\")\n", "R-squared: 0.717533\n", "\n", "Plot the data along with the fitted line:\n", "\n", ">>> plt.plot(x, y, 'o', label='original data')\n", ">>> plt.plot(x, res.intercept + res.slope*x, 'r', label='fitted line')\n", ">>> plt.legend()\n", ">>> plt.show()\n", "\n", "Calculate 95% confidence interval on slope and intercept:\n", "\n", ">>> # Two-sided inverse Students t-distribution\n", ">>> # p - probability, df - degrees of freedom\n", ">>> from scipy.stats import t\n", ">>> tinv = lambda p, df: abs(t.ppf(p/2, df))\n", "\n", ">>> ts = tinv(0.05, len(x)-2)\n", ">>> print(f\"slope (95%): {res.slope:.6f} +/- {ts*res.stderr:.6f}\")\n", "slope (95%): 1.453392 +/- 0.743465\n", ">>> print(f\"intercept (95%): {res.intercept:.6f}\"\n", "... f\" +/- {ts*res.intercept_stderr:.6f}\")\n", "intercept (95%): 0.616950 +/- 0.544475\n", "\u001b[0;31mFile:\u001b[0m /opt/conda/lib/python3.10/site-packages/scipy/stats/_stats_mstats_common.py\n", "\u001b[0;31mType:\u001b[0m function" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stats.linregress?" ] }, { "cell_type": "code", "execution_count": 11, "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 : 0.078\n" ] } ], "source": [ "# use the linear regression function\n", "slope, intercept, rvalue, pvalue, stderr = stats.linregress(data.SLI_max, data.BLC_max)\n", "\n", "print('B0 : {}'.format(np.round(intercept,4)))\n", "print('B1 : {}'.format(np.round(slope,4)))\n", "\n", "print('R^2 : {}'.format(np.round(rvalue**2,3)))\n", "print('R : {}'.format(np.round(rvalue,3)))\n", "print('stderr : {}'.format(np.round(stderr,3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do we get the same results as above?\n", "\n", "No, our \"standard error\" is different. Why is that? If you look into the documentation for the lingregress function, you'll see that it calls this output the \"standard error of the **gradient**\" meaning the standard error of the slope, $B1$.\n", "\n", "This is related to the \"standard error\", $\\sigma$ like:\n", "\n", "$SE_{B_1} = \\displaystyle \\frac{\\sigma}{\\sqrt{SST_x}} $ where $SST_x = \\displaystyle\\sum_{i=1}^{n} (x_i - \\bar{x}_i)^2$\n", "\n", "Compute the standard error from the standard error of the gradient:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sigma : 226.628\n" ] } ], "source": [ "# Compute the SST for x\n", "sst_x = np.sum( (x - np.mean(x))**2 )\n", "\n", "# Compute the standard error\n", "sigma = stderr * np.sqrt(sst_x)\n", "print('sigma : {}'.format(np.round(sigma,3)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This should now match what we solved for manually above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, plot the result" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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yadFCqB7AyabB0PgK58GDB3jxxRfRpk0b9OrVCxaPDMc610QHMuIrHMYM7Pp1wM8PkMmAtm2BiAigb19DR9WgGf17OD/99BMiIyNhbW2N2NhYlRdAzczMTDbhMMYM6MoVIdncuAF06iQU4TSV51GNiMYJ5+OPP8Ynn3yCDz/8sNrgaIwxpnVnzwL+/kBuLtC9u3AbrX17Q0fF6kHjjFFWVobJkydzsmGM6V5MjPDMJjcXGDBAeHbDyabB0jhrTJs2Dbt379ZFLIwx9j+//SYMCX3vHjBypFCEs3VrQ0fFnoDGt9QqKyuxbt06REZGonfv3tU6DWzYsEFrwTHGGqkdO4AZM4RKAs89B4SFcRFOE6BxwklOTkbf/+8ZcvHiRZVlj1aQZowxjX3+OfDuu8K/p08Htm3jIpwmgqtFM8aMAxGwbBnw6afC9IIFwGefcRFOE8J/NjDGDE+hAObMAb7+WphevRpYvJiLcJoYtf50CAoKQlZWllor3L17N3ZVFdNjjLHHKS8HXnlFSDZmZsJ/P/qIk40JUusKp02bNnB3d8fQoUMxYcIEDBgwAE5OTmjatCny8/Nx+fJlHD9+HOHh4WjXrh22bt2q67gZY6bgwQPgxReBgweF5zT//S/w8suGjorpiNqlbXJycrB9+3aEh4dX6yxga2sLX19fvPnmm/Dz89NJoIbGpW0Y07KCAmD8eOD4ccDaGtizR+gGzfTG6KtFA0BBQQGuX7+O4uJitG7dGl27djX5HmqccBjTojt3AKkUOH8eEIuBAwcAT09DR6VCJpMhPT3dtIZ1eITR11IDgJYtW6Jly5ZaDoUx1ij88w8wejSQlgY4OACRkYCHh6GjUsrLy0NgYKDKwHVSqRRhYWGws7MzYGQNH/c3ZIzpz+XLwpVMWhrQubNwO82Ikg0ABAYGIjo6WmVedHQ0AgICDBSR6eCEwxjTj7//BoYPB27dAnr0EJKNs7Oho1Ihk8kQGRmJyspKlfmVlZWIjIxEamqqgSIzDZxwGGO6d/iwUA8tLw94+mmhCGe7doaOqpr09PQ6l6elpekpEtPECYcxplv79gFjxwL37wOjRgnJx97e0FHVqGvXrnUudzayK7KGRu2Ek5OTU+fyiooK/P33308cEGPMhHz/PTBpElBWBkycKPRGa97c0FHVytXVFVKpFCKRSGW+SCSCVCo12d5q+qJ2wnF0dFRJOt27d0dmZqZyOjc3F0OGDNFudIyxhmv9+v9VfJ4xA9i9G7CyMnRUjxUWFgZfX1+Veb6+vggLCzNQRKZD7W7Rj76uc+PGDVRUVNTZhjHWCBEBH38MrFkjTC9aBKxd22BK1djZ2SEiIgKpqalIS0sz6fdw9E2rxTtN/eVPxthjVFYC77wDfPutMB0cDHz4oWFjqicXFxdONFrG1aIZY9pRVga8+qpw68zMDPjmG2DWLENHxYyI2gnHzMwMRUVFaNq0KYgIZmZmuHfvHgoLCwFA+V/GWCN0/77QOSAiArCwEIpwTp5s6KiYkdHoGY6rq6vKdNXIn1XTfEuNsUYoPx8YNw6IjweaNQP27hXqpDH2CLUTDo/0yRirJjsb8PMDkpOBli2Fbs9Dhxo6Kmak1E44Xl5euoyDMdbQZGQIRTjT0wGJRCjC2bu3oaNiRkzthDNs2DCMHDkSPj4+GDJkCJo2barLuBhjxuziReHK5vZtoEsXICoKeMxb+oyp/eKnm5sbfvrpJ4waNQp2dnbw9vbGJ598gmPHjqG8vFyXMTLGjMmpU8CIEUKycXcXinBysmFq0HgAths3buDIkSOIi4tDbGwsMjIyYG1tjaFDh2LkyJFYvHixrmI1KB6AjTEIVzLPPy/0Shs8WHhm06qVoaNi9dQgRvx8WFZWFr799lts2rQJ9+7dq1bW21RwwmGN3q+/AoGBQHm5cDtt717AxsbQUbEn0CBG/ExPT0dsbKzyU1BQgCFDhnDHAsZM1XffCS9xKhTAiy8K79k0gLpozLionXBCQ0MRExOD2NhYyOVyeHp6wsvLC++88w4GDBiAJk24aAFjJmndOuCDD4R/v/EGsGUL8Eg1ZcbUoXaWmDFjBjp27IglS5bg9ddfh4WFhS7jYqzRk8lkSE9PN1zxSCJg8WKh8CYgJJ3g4AZThJMZH7V7qX311VcYPHgwVqxYgbZt22L8+PFYv349zp49y1WiGdOivLw8+Pv7w83NDWPHjoWrqyv8/f2Rn5+vvyAqK4VbaFXJZu1aICSEkw17IvXqNHD58mVlL7W4uDiUlJTA09MTPj4+WLhwoS7iNDjuNMD0xd/fH9HR0SodcEQiEXx9fREREaH7AEpLgalTgV9+AczNhcrPb7yh++0yvWtwvdRu3bqFr7/+mnupMaYFMpkMbm5udS7X6e21+/eFkTn/+ksowvnTT0JRTmaSjL6X2p07d1R6qMlkMlhaWmLQoEHw8fHRRYyMNRrp6el1Lk9LS9NdwsnLE4pwnjwpdHfet08oXcOYlqidcN555x3ExMQgJSUFTZo0wcCBAzFp0iT4+Phg6NChXOqGMS3o+pg39p2dnXWz4du3hXdrLl4E7OyAgweFFzsZ0yK1Ow0kJibiueeeQ0REBPLz83H8+HGsWrUKI0eO1GmyuXnzJl555RXY29ujWbNm6NOnDxISEpTLiQgrVqyAk5MTrK2t4e3tjUuXLqmso7S0FHPmzEHr1q1hY2ODCRMm4MaNGzqLmbH6cnV1hVQqheiRbscikQhSqVQ3Vzfp6YCnp5BsHB2Bo0c52TDdICOWl5dHnTp1ounTp9Pp06cpIyODoqOjKS0tTdkmJCSEbG1tac+ePZScnEyTJ08mR0dHKiwsVLYJCgqidu3aUVRUFCUmJpKPjw95eHhQRUWF2rHI5XICQHK5XKv7yNij8vLySCqVEgDlRyqVUl5envY3duECkURCBBB17Up07Zr2t8GMlr7Pa2onnNTUVDp79qzKvOjoaPL29qaBAwfS6tWrtR7cBx98QMOGDat1uUKhIIlEQiEhIcp5JSUlJBaLacuWLUREVFBQQBYWFhQeHq5sc/PmTTI3N6eIiAi1Y+GEw/RNJpPRwYMHSSaT6WYDJ04QtWwpJJtevYhu3dLNdpjR0vd5Te1baosWLcJvv/2mnM7IyMD48eNhaWmJIUOGIDg4GJ9//rk2L76wf/9+DBgwAC+++CLatm2Lvn37Ytu2bSoxZGdnw8/PTznPysoKXl5eiI+PBwAkJCSgvLxcpY2TkxPc3d2VbWpSWlqKwsJClQ9j+uTi4oIxY8bo5jZaZKTQIaCgABgyBIiLE26nMaZDaiecs2fPYuzYscrpXbt2wdXVFZGRkfjiiy/w+eefY8eOHVoN7tq1a/jmm2/g4uKCyMhIBAUFYe7cufjxxx8BANnZ2QAABwcHle85ODgol2VnZ8PS0hJ2dna1tqlJcHAwxGKx8tOhQwdt7hpjhvPzz8D48cCDB8JQ0FFRQkcBxnRM7YRz9+5dtG/fXjkdExOD8ePHK6e9vb3xzz//aDU4hUKBfv36Yc2aNejbty9mzZqFmTNn4ptvvlFpZ/bI289EVG3eox7XZvHixZDL5cpPVlZW/XeEMWOxdSvw8stCxefJk4H9+7niM9MbtRNOq1atcPv2bQBCIjh79iwGDRqkXF5WVqb1EjeOjo7o0aOHyrzu3bsjMzMTACCRSACg2pVKTk6O8qpHIpGgrKysWlmQh9vUxMrKCi1atFD5MNaghYQI5WqIhP/u2gVYWho6KtaIqJ1wvLy8sGrVKmRlZeHzzz+HQqFQedHz8uXL6Ny5s1aD8/T0REpKiso8mUyGTp06AQC6dOkCiUSCqKgo5fKysjLExcVh6NChAID+/fvDwsJCpc3t27dx8eJFZRvGTBoR8P77QiFOAPjoI+Cbb7jiM9M/dXsXXLt2jbp27Urm5ubUpEkT+vrrr1WWP/vsszR//nyt9mj4+++/qUmTJrR69WpKTU2lXbt2UbNmzWjnzp3KNiEhISQWi2nv3r2UnJxMAQEBNXaLbt++PUVHR1NiYiKNHDmSu0WzxqGigmjGDKEnGkD0n/8YOiJmRIy2WzQRUVlZGSUlJdHNmzerLUtKSqK7d+9qLbAqf/zxB7m7u5OVlRV169aNtm7dqrJcoVDQ8uXLSSKRkJWVFY0YMYKSk5NV2hQXF9Ps2bOpVatWZG1tTePGjaPMzEyN4uCEwxqckhKiF14QEo25OdH27YaOiBkZfZ/Xnrh4Z2PBxTtZg3LvHvD880B0tPCcJixMKMrJ2EOMvngnY8zI5eYCzzwDnD4t9ED7/Xdg1ChDR8UYJxzGTMrNm0IRzsuXgVatgEOHgKefNnRUjAHghMOY6UhLE6oH/PMP4OQkjGnTs6eho2JMiRMOMxkymQzp6elwdnbW7SBlxuj8eaFqwJ07gLOzUD1Ay68pMPak1H4Pp8rSpUtrHNVTLpcjICBAK0Expom8vDz4+/vDzc0NY8eOhaurK0aMGFHtZV+TdeIE4OUlJBsPD+D4cU42zChpnHB+/PFHeHp6qoxMGBsbi169emm9tA1j6ggMDER0dLTKvGPHjsHFxcX0k05EhHAbTS4XxrSJjQXqqKDBmCFpnHAuXLiAzp07o0+fPti2bRsWLVoEPz8/TJ8+HcePH9dFjIzVSiaTITIyssar7tzcXEyYMMEAUelJeLhQhLO4GBgzRnhm07KloaNirFYaP8MRi8UIDw/HkiVLMGvWLDRp0gSHDh3CKO52yQzg4Svtmhw/fhypqamm90xnyxbg7beF+gEBAcCOHVwXjRk9ja9wAGDTpk3YuHEjAgIC8NRTT2Hu3Lk4f/68tmNj7LG6du362DZpaWl6iERPiIA1a4C33hL+/fbbwM6dnGxYg6BxwhkzZgxWrlyJH3/8Ebt27cK5c+cwYsQIDB48GOvWrdNFjIzVytXVFcOGDauzjbOzs56i0TEiYOFCYMkSYfrjj4HNmwHzev3dyJjeafybWlFRgQsXLmDSpEkAAGtra3zzzTf49ddfsXHjRq0HyNjj7N+/H/b29tXmm5ubQyqVmsbttIoKYMYMYMMGYXrDBmDVKuAx4z4xZky0Wkvt7t27aN26tbZWZ1S4lppxy8/Px4QJE1Q6rkilUoSFhVUb7bXBKSkRntP89ptwNbN9OzB9uqGjYiagQddSM9Vkw4yfnZ0djh07htTUVKSlpZnOy59FRcBzzwFHjgjPaXbvFqYZa4A0TjiVlZXYuHEjfv75Z2RmZqKsrExleV5entaCY0xTLi4uppFoAODuXWDsWODMGaB5c6EI58iRho6KsXrT+BnOypUrsWHDBrz00kuQy+VYsGABJk6cCHNzc6xYsUIHITLWCN24AYwYISQbe3vhCoeTDWvgNE44u3btwrZt27Bw4UI0adIEAQEB+O6777Bs2TKcOnVKFzEyZlJkMhkOHTqE1NTUmhukpgLDhgFXrgDt2gHHjgEDB+o3SMZ0QOOEk52djV69egEAmjdvDrlcDgAYN24cDhw4oN3oGDMhNdV88/f3Vy2/k5QkJJvr1wEXF6FOWvfuBouZMW3SOOG0b98et2/fBiC83/DXX38BAM6cOQMrKyvtRseYCamp5lt0dPT/it4eOyYU4czJAfr0EYpwduqk/0AZ0xGNE87zzz+Pw4cPAwDmzZuHpUuXwsXFBa+++ipef/11rQfImCmoreZbZWUlIiMjcXPrVmHgtMJCYPhwoQhn27aGCZYxHdG4l1pISIjy35MmTUL79u0RHx8PZ2dn0y6UyNgTqKvmWwAAx7ffBiorgXHjgJ9/Bqyt9RccY3ryxO/hDB48GIMHD9ZGLIyZrNpqvr0NYBMA88pKYMoUIDQUsLDQa2yM6Uu9Es7Nmzdx4sQJ5OTkQKFQqCybO3euVgJjzJS4urpCKpUiOjpaeVvtYwCrqhrMng188QXXRWMmTePSNqGhoQgKCoKlpSXs7e1h9lAtJzMzM1y7dk3rQRoDLm3DnlR+fj4CAgLwV2QkNgCY///zixctgvXatVwXjemdvs9rGiecDh06ICgoCIsXL4Z5I/prjBMO04qKChS++CJa/PabMP3558C8eYaMiDViRl9L7cGDB3j55ZcbVbJhTCtKSoDJk9Fi/35AJAK+/x549VVDR8WY3micNWbMmIFffvlFF7EwZroKC4W6aPv3A1ZWwN69nGxYo6PxLbXKykqMGzcOxcXF6NWrFywe6VGzoWq8DhPDt9RYvf37LzBmDJCQANjaCknH29vQUTFm/LfU1qxZg8jISLi5uQFAtU4DjLGHZGUJL3RevQq0bg1ERAD9+xs6KsYMQuOEs2HDBnz//feYzgNAMVa3lBRg9Ggh6XToAPz1F9Ctm6GjYsxgNH6GY2VlBU9PT13EwpjpSEwUStRkZQFubkJdNE42rJHTOOHMmzcPmzZt0kUsjJmGuDjhGc2//wL9+glFOTt2NHRUjBmcxrfU/v77bxw5cgR//vknevbsWa3TwN69e7UWHGMNzh9/AC+9JHSB9vISOghwJxPGANQj4bRs2RITJ07URSyMNWw7dwLTpwtFOMePB3bv5iKcjD1E44QTGhqqizgYa9g2bQKq6ghOnQps385FOBl7BJcLYOxJEAErV/4v2cydC+zYwcmGsRo88fAEjDVaCgXw7rvAl18K0ytXAkuXchFOxmrBCYex+igvB15/XXhuAwi31GbPNmxMjBk5TjiMaaq4GJg8WeiRJhIBP/wgDJ7GGKsTJxymMZlMhvT0dDg7O8PFxcXQ4eiXXA5MmAAcPQo0bQr88oswLDRj7LHqlXAOHz6Mw4cP1zji5/fff6+VwJjxycvLQ2BgICIjI5XzpFIpwsLCYGdnp9NtG0WSy8kB/P2Bc+eEd2v++AMYMcIwsTDWAGncS23lypXw8/PD4cOHcffuXeTn56t8mOkKDAxEdHS0yrzo6GgEBATobJt5eXnw9/eHm5sbxo4dC1dXV/j7++v/dy0zUyhVc+4c0KYNEBPDyYYxDWk8PIGjoyPWrVuHqVOn6iomo9TYhyeQyWTKCuG1LdfFlYe/vz+io6NRWVmpnCcSieDr64uIiAitb69GV68KRThv3BBK1ERFAa6u+tk2Yzqk7/Oaxlc4ZWVlGDp0qC5iYUYsPT29zuVpaWla36ZMJkNkZKRKsgGEMZkiIyORmpqq9W1Wc/ascGVz44ZQfPP4cU42jNWTxgnnjTfewE8//aSLWJgR69q1a53LnZ2dtb7NxyW5uLg4rW9TRWws4OMD3L0LDBggFOHs0EG322yEZDIZDh06pJ8/IJhBadxpoKSkBFu3bkV0dDR69+7daEb8bOxcXV0hlUprvb2li9tpj0tyM2fOxK+//qqbTgv79wtFOEtLhaTz++/CaJ1MawzZCYUZhsbPcHx8fGpfmZkZjhw58sRBGaPG/gwHAPLz8xEQEKDXE0RNz3AeppPnOT/+KLzUWVkJPPssEB4udIFmWmUUz+caOX2f1zROOI0VJ5z/SU1NRVpaml66KNeU5GqitU4LX3wBzJ8v/Hv6dGDbNqAJv66mbYbqhMJUGX2ngYfduHEDN2/e1FYsrIFwcXHBmDFj9HJCsLOzQ0REBLZt21ZnuyfutEAELFv2v2Tz7rtCxWdONjphiE4ozPA0TjgKhQKffPIJxGIxOnXqhI4dO6Jly5ZYtWpVtZdAGdOWEY955+WJOi0oFMCcOcCqVcL0p58C69cD5lxMXVcM0QmFGZ7G/0ctWbIEmzdvRkhICM6dO4fExESsWbMGmzZtwtKlS3URI2PKTgsikUhlvkgkglQqrf/VVnm5MH7NV18JVZ6/+gpYsoQrPuuYzo4nM26kIUdHR/r999+rzf/tt9/IyclJ09U1GHK5nACQXC43dCiNVl5eHkmlUgKg/EilUsrLy6vfCu/fJ3rmGSKAqEkTop9+0m7ArE5aP55MY/o+r2l8hZOXl4du3bpVm9+tWzfk5eU9UfJ7nODgYJiZmWF+1X12AESEFStWwMnJCdbW1vD29salS5dUvldaWoo5c+agdevWsLGxwYQJE3Djxg2dxsq0r+p5jkwmw8GDByGTyRAREVG/HnIFBYBUChw4IPRA+/13QIclelh1Wj2erEHQOOF4eHhg8+bN1eZv3rwZHh4eWgmqJmfOnMHWrVvRu3dvlfnr1q3Dhg0bsHnzZpw5cwYSiQSjR49GUVGRss38+fOxb98+hIeH4/jx47h37x7GjRtXa1dbZnh1vQz4xJ0W7twR3q05fhwQi4VSNWPHPmHErL702QmFGZiml0SxsbFkY2ND3bt3p9dff51mzJhB3bt3p+bNm9PRo0d1cBFGVFRURC4uLhQVFUVeXl40b948IiJSKBQkkUgoJCRE2bakpITEYjFt2bKFiIgKCgrIwsKCwsPDlW1u3rxJ5ubmFBERoXYMfEtNP3Jzc3V7m+Wff4icnYXbaG3bEp07p531MtYAGf0tNS8vL6SkpOD5559HQUEB8vLyMHHiRKSkpGD48OFaToeCd955B8888wx8fX1V5mdkZCA7Oxt+fn7KeVZWVvDy8kJ8fDwAICEhAeXl5SptnJyc4O7urmxTk9LSUhQWFqp8mO7ptCL15cuApyeQlgZ06iRc4fTp8+TrZYyppV4vGbRr1w6rV6/Wdiw1Cg8PR2JiIs6cOVNtWXZ2NgDAwcFBZb6DgwOuX7+ubGNpaVntvrCDg4Py+zUJDg7GypUrnzR8poGqYp2PerhYZ71vu5w5A4wZA+TmAj16AH/9BbRr94QRM8Y0ofEVTufOnfHJJ58gKytLF/GoyMrKwrx587Bz5040raO0iNkjXViJqNq8Rz2uzeLFiyGXy5UffexvY6ezlwGPHAFGjhSSzdNPC6N1crJhTO80Tjjvvfcefv/9d3Tp0gWjR49GeHg4SktLdREbEhISkJOTg/79+6NJkyZo0qQJ4uLi8OWXX6JJkybKK5tHr1RycnKUyyQSCcrKyqoN2PVwm5pYWVmhRYsWKh+mWzp5GfC334Qrm3v3gFGjgOhowN6+fgEyxp6Ixglnzpw5SEhIQEJCAnr06IG5c+fC0dERs2fPRmJiolaDGzVqFJKTk5GUlKT8DBgwAFOmTEFSUhKeeuopSCQSREVFKb9TVlaGuLg45Zg9/fv3h4WFhUqb27dv4+LFizyuj5HR+suAoaHACy8AZWXAxIlCF2iu+MyY4Txpr4OysjL6/PPPycrKiszNzal37960fft2UigUT96loQYP91IjIgoJCSGxWEx79+6l5ORkCggIIEdHRyosLFS2CQoKovbt21N0dDQlJibSyJEjycPDgyoqKtTeLvdS0w+tvQy4fr3QEw0geu01ovJy3QTMWAOm7/NavSsTlpeXY9++fQgNDUVUVBQGDx6MGTNm4NatW1iyZAmio6P1MlDb+++/j+LiYrz99tvIz8/HoEGD8Ndff8H2ob9kN27ciCZNmuCll15CcXExRo0ahR07dlT7S5oZXtXLgPWuSE0ELF0KVHVqee894LPPuFQNY0ZA4+EJEhMTERoairCwMIhEIkydOhVvvPGGSvWBM2fOYMSIESguLtZ6wIbCwxM0AJWVwOzZwJYtwvSaNcCHH3KyYawW+j6vaXyFM3DgQIwePRrffPMNnnvuuWojfgJAjx498PLLL2slQMbUUlYGTJsmDJZmZgZ8/TUQFGToqBhjD9E44Vy7dg2dOnWqs42NjQ1CQ0PrHRRjGnnwAJg0CTh0SBi/ZudOYPJkQ0fFGHuExgmnKtmUlZUhJyen2hg4HTt21E5kzOjJZDKkp6frZeTPWhUUAOPGASdOANbWwN69gL+/YWJhjNVJ44Qjk8kwY8aMamVh6P9fpOSCmKYvLy8PgYGBKlUBpFIpwsLC9FvpNztbSC7nzwMtWwJ//imUrmGMGSWNE85rr72GJk2a4M8//4Sjo+Nj3+hnpqeuemcRERH6CSIjAxg9GkhPBxwchFI1j1QSZ4wZF417qdnY2CAhIaHGMXFMGfdSE8hkMri5udW5XOe31y5dAvz8gFu3gC5dhOEFHlOlgDFWnb7PaxpXGujRowfu3r2ri1hYA6CzemfqOn0aGDFCSDY9ewoVn58g2dQ17g5jTLs0Tjhr167F+++/j9jYWOTm5nIJ/0ZGJ/XO1BUdLdRDy8sDBg0SinA6OdVrVXl5efD394ebmxvGjh0LV1dX+Pv7V6u5xxjTHo1vqZmbCzmqtgrNptppgG+p/Y+/vz+ioqKq9VC0t7dHamqqbjoO7NkDBAYK79v4+gL79gHNm9d7df7+/oiOjlb5fRWJRPD19dXfcyjGDEzf5zWNE05cXFydy728vJ4oIGPFCed/8vPz4eLigtzcXJX5Ojthb98OvPkmoFAIxTh37QKsrOq9OqN4DsWYETD6SgOmmlCY+v79999qyQbQ0kBpj/rPf4BFi4R/z5gBfPst8IQ18NR5DsUJhzHtq3fxzgcPHiAzMxNlZWUq83tz11STp5cTNhGwZAkQHCxMv/8+EBKilbpoBn0OxVgjpnHC+ffff/Haa6/h0KFDNS431Wc47H90fsKurATeeUe4mgGERPPBB0+2zodUjbtT2zMcfVzdGEWVBsb0TONeavPnz0d+fj5OnToFa2trRERE4IcffoCLiwv279+vixiZkdHGQGm1dkcuKxM6B3z7rXA1s3WrVpNNlbCwMPj6+qrM8/X1RVhYmNa39TDuHccaNU0H0JFIJHT69GkiIrK1taWUlBQiIvr999/J09NTG2P0GCUegE1VfQdKy83Nrf179+4RSaXCoGkWFkQ//6zz/ZDJZHTw4EGSyWQ63xYRkVQqJZFIpLL/IpGIpFKpXrbP2MP0fV7TuJdaixYtcOHCBXTu3BmdO3fGrl274OnpiYyMDPTs2RMPHjzQakI0FtxLrWaaDpRWW3fk57y88GtxMXDyJNCsmdDt2c9Pl6HrHfeOY8bG6Hupubm5ISUlBZ07d0afPn3w7bffonPnztiyZQscHR11ESMzYi4uLmqfJGUymUrBzyptKiux7MgRYaJlS+DgQWDIEC1GaRy4dxxr7DROOPPnz8ft27cBAMuXL4dUKsWuXbtgaWmJHTt2aDs+ZkJqOuF2ARAFoCuAEjs7NI2LA3r10ndoesG941hjp/EttUc9ePAAV69eRceOHdG6dWttxWV0+Jbak3v0lpI7gEgATgDSAZhHR6PLqFEGik4/uMIBMyZGXbyzsLCwWjmTZs2aoU+fPrC0tNRqYMz0PNy7bTCAoxCSTTKApd7eJp9sAMP1jmPMGKidcPbt24cBAwagpKSk2rKSkhIMHDgQf/zxh1aDY6YnLCwM7/fpg2gAdgDiAawcORJf7d1r4Mj0w87ODhEREZDJZDh48CBkMhkiIiL0O3AdYwai9i01Pz8/vPTSS3jjjTdqXP79999j9+7dNT4UNgV8S01Lfv1VeM+mvBz/9usH+fffw9nDQyur5pcpGdOM0d5Su3jxIry9vWtdPmLECCQnJ2sjJmaqtm0DJk8GysuBl15Cm5MntZJs+GVKxhoGtRNOfn4+Kioqal1eXl7O/4Oz2q1d+7+Kz2++Cfz0E6Cl5351DXnNGDMeaieczp074+zZs7UuP3v2LDp16qSVoJgJIRJK03z4oTC9eDGwZQsgEmlltM2qd3sereH3cOVqxphxUDvhTJw4EUuWLMGdO3eqLcvOzsbHH3+MF154QavBsQauslK4mlm3Tpj+7DNgzRrk5edr7RaYwYe8ZoypTe1OA0VFRRgyZAgyMzPxyiuvwM3NDWZmZrhy5Qp27dqFDh064NSpU7C1tdV1zAbBnQYEaj+YLy0FXnlF6CRgbi4U4ZwxA4B230XhcjGM1Z/ez2uaFF4rKCigt956i1q1akVmZmZkZmZGrVq1orfeeovy8/O1XObNuDT24p11Ft18VFER0ejRQhFOS0uiX39VLkpJSVFZx6Of+hTR5IKYjNWPvs9rGleLJiJSKBSUk5NDd+7cIYVCoe2YjFJjTzhqn9Rzc4kGDRKSjY0NUVSUyuKDBw/WmXAOHjyocWz1rVzNWGNn9NWiG6vGfEtN7dtWt24JFZ4vXQLs7IBDh4BBg+q3rnrQtHI1Y42d0VeLZo2PWlWOzc2B0aOBjAzAyQn46y+gZ89qbXU52qYmlasZY/qn8YifrPF5XJXjHhUVwLBhQrLp2hU4frzGZFOF64kx1jjxLTU1NeZbakDtPcvm9O+PjTIZUFAA9O4NREYCEola6+RbYIwZltGWtqlJTYU8mWmq6arkAw8PbEhOFpKNpycQF6d2sgGEW2BjxozhZMNYI6FxwlEoFFi1ahXatWuH5s2b49q1awCApUuXYvv27VoPkBmHR6sc39q4EauTk2FWXAyMGSM8s2nZ0tBhMsaMmMYJ59NPP8WOHTuwbt06lTFwevXqhe+++06rwTHj4+LigjGZmXBcsEAowjl5MvDbb0CzZoYOjTFm5DROOD/++CO2bt2KKVOmQCQSKef37t0bV69e1WpwzMgQAcHBQFCQ8O+gIGDXLq0V4WSMmTaNE87NmzdrHHtdoVCgvLxcK0ExI0QELFoEfPSRML1kCfD118BDf3Q0VtooQspYY6BxwunZsyeOHTtWbf4vv/yCvn37aiUoZlxkly8jy98fWL9emLF+PfDpp4CZmWEDMzAeh4cxzWj84ufy5csxdepU3Lx5EwqFAnv37kVKSgp+/PFH/Pnnn7qIkRlIXl4epr38MqZHReEFAJUAPnd3x+uvvQYeELnucXg0LULKWGNQr/dwIiMjsWbNGiQkJEChUKBfv35YtmwZ/Pz8dBGjUWiM7+E87+uL2YcPYxSAUgAvA/ijnlWdTQ1XqWamoEGUtpFKpZBKpdqOhRmRtNOn8eHhwxgEoAjAcwCOAMBDA5s15hOqWuV+GvHPh7GacGkbVt3Nm3B46SUMAnAXwEj8f7J5SGMf2Oxx5X5q6ljDWGOnccIxNzeHSCSq9cMauNRUwNMTtpmZuAFgBICaBhZv7CfUqiKktf3Oz5kzhzsPMPYIjW+p7du3T2W6vLwc586dww8//ICVK1dqLTBmAElJgFQK5OQALi74yNERshMnhKGi/5+5uTk8PT35dhGEcj8BAQGIjIystow7DzBWndaKd/7000/YvXs3fv/9d22szuiYfKeB48eBceMAuRzo0weIiEC+pWWtJ1SpVIqwsDDY2TXs/mpqD5ldx/e58wBrqBpU8c6HDRo0qFoXUdZAHDwoDJwmlwvDDMTEAA4Oyvppw4YNg7m56q9K1V/wDZW23qFRp/MAY0yglYRTXFyMTZs2oX379tpYHdOnsDDg2WeB4mJg7FhheIGHinDKZDIcP34cCoVC5WuVD/VWa4jqeodGE9x5gDH1afwMx87ODmYPvWFORCgqKkKzZs2wc+dOrQbHdOzrr4HZs4WyNYGBwI4dgIWFShNT7P4rk8lqvE1YWY8u37ocwZQxU6Nxwtm4caNKwjE3N0ebNm0waNCgBn8/v9EgAlavBpYuFabfeQf48kvAvPoFryn+Ba/tJFpT5wEewZSxGpARW7NmDQ0YMICaN29Obdq0oWeffZauXr2q0kahUNDy5cvJ0dGRmjZtSl5eXnTx4kWVNiUlJTR79myyt7enZs2a0fjx4ykrK0ujWORyOQEguVz+xPtlUJWVRO++SySkHaKlS4kUijq/IpVKSSQSEQDlRyQSkVQq1VPQ2pWSkqKyL49+ZDJZvdYrk8no4MGD9f4+Y/qm7/OaWr3ULly4oHYC6927t8ZJrzb+/v54+eWXMXDgQFRUVGDJkiVITk7G5cuXYWNjAwBYu3YtVq9ejR07dsDV1RWffvopjh49ipSUFNja2gIA3nrrLfzxxx/YsWMH7O3t8d577yEvLw8JCQlqvztkEr3UKiqAmTOFW2cAsHEjMH/+Y7+Wn59f7S/4ht5LrbYhs7lsD2tM9H5eUysrmZmRubk5mZmZ1fkxNzfXaXbMyckhABQXF0dEwtWNRCKhkJAQZZuSkhISi8W0ZcsWIiIqKCggCwsLCg8PV7a5efMmmZubU0REhNrbbvBXOMXFRM89J1zViEREP/yg8SpM6S/4vLw8kkqlKlc2UqmU8vLyDB0aY3qj7/OaWs9wMjIydJfxNCCXywEArVq1AiDElZ2drVI01MrKCl5eXoiPj8esWbOQkJCA8vJylTZOTk5wd3dHfHx8rTXhSktLUVpaqpwuLCzUxS7pR1GR0BMtJgawsgJ+/hmYMEHj1bi4uJjMQ/CqLt+pqalIS0ur93s4+vCk7woxZizUSjidOnXSdRyPRURYsGABhg0bBnd3dwBAdnY2AMDBwUGlrYODA65fv65sY2lpWe3Wj4ODg/L7NQkODjaNygl37wJjxgBnzwK2tsD+/YC3t6GjMhrGnETz8vIQGBhoUrcyWeOm8Xs4ubm5yn9nZWVh2bJlWLRoUY2DsmnT7NmzceHChRp7/pg9MhAYEVWb96jHtVm8eDHkcrnyk5WVVb/ADSkrCxg+XEg29vbAkSOcbBoQbb0rxJixUDvhJCcno3Pnzmjbti26deuGpKQkDBw4EBs3bsTWrVvh4+OD3377TSdBzpkzB/v370dMTIzKy6USiQQAql2p5OTkKK96JBIJysrKqr1B/nCbmlhZWaFFixYqnwbl1i2hasDVq0D79sCxY8CAAYaOiqmp6l2hhzs1AA3/hVvWuKmdcN5//3306tULcXFx8Pb2xrhx4zB27FjI5XLk5+dj1qxZCAkJ0WpwRITZs2dj7969OHLkCLp06aKyvEuXLpBIJIiKilLOKysrQ1xcHIYOHQoA6N+/PywsLFTa3L59GxcvXlS2MUkODsCgQYCrK3DiBNC9u6EjYhrgkjnMJKnbu8De3p7Onz9PRERFRUVkZmZGZ86cUS6/cuUKicVirfZoeOutt0gsFlNsbCzdvn1b+Xnw4IGyTUhICInFYtq7dy8lJydTQEAAOTo6UmFhobJNUFAQtW/fnqKjoykxMZFGjhxJHh4eVFFRoXYsDbKXWkkJ0b//GjoKVg+6eleIsYfp+7ymdsIxMzOjO3fuKKebN29O6enpyuns7Gytd4uu7X+20NBQZZuqFz8lEglZWVnRiBEjKDk5WWU9xcXFNHv2bGrVqhVZW1vTuHHjKDMzU6NYGmTCYQ2aqb1wy4yPUb74CQglbO7cuYM2bdoAAGxtbXHhwgXlba47d+7Aycmp2j1nU2ESL36yBsUUX7hlxkXf5zWNaqlNnz4dVlZWAICSkhIEBQUp3/h/+J0VxtiTa0jvCjGmDrWvcF577TW1VhgaGvpEARkrvsJhjJkao73CMdVEwhhjTD+0NuInY4wxVhdOOIwxxvRC4wHYGGuIuAAmY4bHVzjMpOXl5cHf3x9ubm4YO3YsXF1d4e/vX63UEWNM9zjhMJPGBTAZMx6ccJjJ4gKYjBkXTjjMZHEBTMaMCyccZrK6du1a53JnZ2c9RcIYAzjhMBPm6uoKqVQKkUikMl8kEkEqlXJvNcb0jBMOM2lhYWHw9fVVmefr61vjyLGMMd3i93CYSeMCmIwZD044rFFwcXHhRMOYgfEtNcYYY3rBVziMGQEuvcMaA77CYcyAuPQOa0w44TBmQFx6hzUmnHAYMxAuvcMaG044rFYymQyHDh3iE5+OcOkd1thwwmHV8HMF/eDSO6yx4YTDqnn22WcRFRWlMo+fK2gfl95hjQ0nHKaUl5eH4cOH4/jx41AoFCrL+LmCbnDpHdaY8Hs4TCkwMBAnTpyos01aWhr/5a1FXHqHNSaccBiA//WYehx+rqAbXHqHNQZ8S40BeHyPKQAYPnw4nxQZY/XGCYcBeHyPKQCYPXu2HiJhjJkqTjgMgNBjatiwYXW26du3r56iYYyZIk44JkzTFzf3798Pe3v7avO5my5jTBs44Zig+r64aWdnh9TUVAwfPlxlPnfTZYxpgxkRkaGDaAgKCwshFoshl8vRokULQ4dTJ39/f0RHR6vU6BKJRPD19UVERIRa6+BuuoyZPn2f1zjhqKmhJByZTAY3N7c6l3MCYYwB+j+v8S01E8MFIRljxooTjonhgpCMMWPFCcfEcEFIxpix4oRjgrggJGPMGHEtNRPEBSEZY8aIE44J44KQjDFjwrfUGGOM6QUnHMYYY3rBCYcxxphecMJhjDGmF5xwGGOM6QUnHMYYY3rBCYcxxphecMJhjDGmF5xwGGOM6QUnHMYYY3rBCYcxxphecMJhjDGmF40q4Xz99dfo0qULmjZtiv79++PYsWOGDokxxhqNRpNwdu/ejfnz52PJkiU4d+4chg8fjjFjxiAzM9PQoTHGWKNgRkRk6CD0YdCgQejXrx+++eYb5bzu3bvjueeeQ3Bw8GO/X1hYCLFYDLlcjhYtWugyVMYY0wt9n9caxXg4ZWVlSEhIwIcffqgy38/PD/Hx8TV+p7S0FKWlpcppuVwOQDhAjDFmCqrOZ/q67mgUCefu3buorKyEg4ODynwHBwdkZ2fX+J3g4GCsXLmy2vwOHTroJEbGGDOU3NxciMVinW+nUSScKmZmZirTRFRtXpXFixdjwYIFyumCggJ06tQJmZmZejkwulRYWIgOHTogKyvLJG4P8v4YL1PaF8D09kcul6Njx45o1aqVXrbXKBJO69atIRKJql3N5OTkVLvqqWJlZQUrK6tq88VisUn8ogFAixYtTGZfAN4fY2ZK+wKY3v6Ym+un/1ij6KVmaWmJ/v37IyoqSmV+VFQUhg4daqCoGGOscWkUVzgAsGDBAkydOhUDBgzAkCFDsHXrVmRmZiIoKMjQoTHGWKPQaBLO5MmTkZubi08++QS3b9+Gu7s7Dh48iE6dOqn1fSsrKyxfvrzG22wNjSntC8D7Y8xMaV8A3p8n1Wjew2GMMWZYjeIZDmOMMcPjhMMYY0wvOOEwxhjTC044jDHG9IITjhoawrAGK1asgJmZmcpHIpEolxMRVqxYAScnJ1hbW8Pb2xuXLl1SWUdpaSnmzJmD1q1bw8bGBhMmTMCNGzf0Ev/Ro0cxfvx4ODk5wczMDL/99pvKcm3Fn5+fj6lTp0IsFkMsFmPq1KkoKCjQ+/5Mnz692vEaPHiwUe5PcHAwBg4cCFtbW7Rt2xbPPfccUlJSVNo0lOOjzr40pGPzzTffoHfv3soXUYcMGYJDhw4plxvdcSFWp/DwcLKwsKBt27bR5cuXad68eWRjY0PXr183dGgqli9fTj179qTbt28rPzk5OcrlISEhZGtrS3v27KHk5GSaPHkyOTo6UmFhobJNUFAQtWvXjqKioigxMZF8fHzIw8ODKioqdB7/wYMHacmSJbRnzx4CQPv27VNZrq34/f39yd3dneLj4yk+Pp7c3d1p3Lhxet+fadOmkb+/v8rxys3NVWljLPsjlUopNDSULl68SElJSfTMM89Qx44d6d69e8o2DeX4qLMvDenY7N+/nw4cOEApKSmUkpJCH330EVlYWNDFixeJyPiOCyecx3j66acpKChIZV63bt3oww8/NFBENVu+fDl5eHjUuEyhUJBEIqGQkBDlvJKSEhKLxbRlyxYiIiooKCALCwsKDw9Xtrl58yaZm5tTRESETmN/1KMnaG3Ff/nyZQJAp06dUrY5efIkAaCrV6/qbX+IhJPas88+W+t3jHl/cnJyCADFxcURUcM+Po/uC1HDPjZERHZ2dvTdd98Z5XHhW2p1qBrWwM/PT2V+XcMaGFJqaiqcnJzQpUsXvPzyy7h27RoAICMjA9nZ2Sr7YWVlBS8vL+V+JCQkoLy8XKWNk5MT3N3dDb6v2or/5MmTEIvFGDRokLLN4MGDIRaLDbKPsbGxaNu2LVxdXTFz5kzk5OQolxnz/lQN1VFV8LEhH59H96VKQzw2lZWVCA8Px/379zFkyBCjPC6ccOpQn2ENDGXQoEH48ccfERkZiW3btiE7OxtDhw5Fbm6uMta69iM7OxuWlpaws7OrtY2haCv+7OxstG3bttr627Ztq/d9HDNmDHbt2oUjR45g/fr1OHPmDEaOHKkcg8lY94eIsGDBAgwbNgzu7u7KOKpiqytWY9ufmvYFaHjHJjk5Gc2bN4eVlRWCgoKwb98+9OjRwyiPS6MpbfMkNBnWwFDGjBmj/HevXr0wZMgQdO3aFT/88IPygWd99sOY9lUb8dfU3hD7OHnyZOW/3d3dMWDAAHTq1AkHDhzAxIkTa/2eofdn9uzZuHDhAo4fP15tWUM7PrXtS0M7Nm5ubkhKSkJBQQH27NmDadOmIS4urtY4DHlc+AqnDvUZ1sBY2NjYoFevXkhNTVX2VqtrPyQSCcrKypCfn19rG0PRVvwSiQR37typtv5///3X4Pvo6OiITp06ITU1FYBx7s+cOXOwf/9+xMTEoH379sr5DfH41LYvNTH2Y2NpaQlnZ2cMGDAAwcHB8PDwwBdffGGUx4UTTh0a8rAGpaWluHLlChwdHdGlSxdIJBKV/SgrK0NcXJxyP/r37w8LCwuVNrdv38bFixcNvq/ain/IkCGQy+X4+++/lW1Onz4NuVxu8H3Mzc1FVlYWHB0dARjX/hARZs+ejb179+LIkSPo0qWLyvKGdHwety81MeZjUxMiQmlpqXEeF426GDRCVd2it2/fTpcvX6b58+eTjY0N/fPPP4YOTcV7771HsbGxdO3aNTp16hSNGzeObG1tlXGGhISQWCymvXv3UnJyMgUEBNTYPbJ9+/YUHR1NiYmJNHLkSL11iy4qKqJz587RuXPnCABt2LCBzp07p+x+rq34/f39qXfv3nTy5Ek6efIk9erVSyfdouvan6KiInrvvfcoPj6eMjIyKCYmhoYMGULt2rUzyv156623SCwWU2xsrEpX4QcPHijbNJTj87h9aWjHZvHixXT06FHKyMigCxcu0EcffUTm5ub0119/EZHxHRdOOGr46quvqFOnTmRpaUn9+vVT6UJpLKr611tYWJCTkxNNnDiRLl26pFyuUCho+fLlJJFIyMrKikaMGEHJyckq6yguLqbZs2dTq1atyNramsaNG0eZmZl6iT8mJoYAVPtMmzZNq/Hn5ubSlClTyNbWlmxtbWnKlCmUn5+v1/158OAB+fn5UZs2bcjCwoI6duxI06ZNqxarsexPTfsBgEJDQ5VtGsrxedy+NLRj8/rrryvPTW3atKFRo0Ypkw2R8R0XHp6AMcaYXvAzHMYYY3rBCYcxxphecMJhjDGmF5xwGGOM6QUnHMYYY3rBCYcxxphecMJhjDGmF5xwGGOM6QUnHKaWh4dJ/ueff2BmZoakpKRa28fGxsLMzEwnwzezxmP79u3VxqPSl4ULF2Lu3LkG2bap4oTDkJOTg1mzZqFjx46wsrKCRCKBVCrFyZMna2zfoUMH3L59W2UMEV0pKyvDunXr4OHhgWbNmqF169bw9PREaGgoysvLdb79xuRxvwcvv/yyyjAYAHDo0CGYmZlh6dKlKvNXrVoFJycnAP/7A6Wmz6lTp2qNp7S0FMuWLau2bn15//33ERoaioyMDINs3xTxeDgML7zwAsrLy/HDDz/gqaeewp07d3D48GHk5eXV2F4kEilLn+tSWVkZpFIpzp8/j1WrVsHT0xMtWrTAqVOn8J///Ad9+/ZFnz59dB5HY/G43wMfHx8sXLgQFRUVaNJEOHXExsaiQ4cOiImJUVlXbGwsfHx8VOZFR0ejZ8+eKvPs7e1rjWfPnj1o3rw5hg8fro3d01jbtm3h5+eHLVu2YO3atQaJweTUo14cMyH5+fkEgGJjY+tsB4D27dtHREQZGRkEgM6dO6dcfuDAAXJxcaGmTZuSt7c3hYaGEgCVAn8nTpyg4cOHU9OmTal9+/Y0Z84cunfvXq3bXLt2LZmbm1NiYmK1ZWVlZcrvHjp0iDw9PUksFlOrVq3omWeeobS0NGXbqnj37NlD3t7eZG1tTb1796b4+HgiIrp37x7Z2trSL7/8orKN/fv3U7NmzZSVdS9cuEA+Pj7UtGlTatWqFc2cOZOKioqU7adNm0bPPvssffbZZySRSKhVq1b09ttvU1lZWa37uHz5cvLw8KDt27dThw4dyMbGhoKCgqiiooLWrl1LDg4O1KZNG/r0009Vvrd+/Xpyd3enZs2aUfv27emtt95SieW1116jXr16UUlJifLn1a9fPwoMDKwxDnV+D1JSUggAnTx5Ujnv6aefpq+++oosLS3p/v37RERUWlpK1tbWtG3bNpWf/8O/L+oYP348LVy4UGVe1c949erV1LZtWxKLxbRixQoqLy+nhQsXkp2dHbVr1462b9+u/E7V9nfv3k3Dhg2jpk2b0oABAyglJYX+/vtv6t+/P9nY2JBUKqWcnByV7e3YsYM6dOigUdysdpxwGrny8nJq3rw5zZ8/X3lyqkldCSczM5OsrKxo3rx5dPXqVdq5cyc5ODioJJwLFy5Q8+bNaePGjSSTyejEiRPUt29fmj59eq3b7N27N/n5+T12H3799Vfas2cPyWQyOnfuHI0fP5569epFlZWVKvF269aN/vzzT0pJSaFJkyZRp06dqLy8nIiIZs6cSWPHjlVZ7/PPP0+vvvoqERHdv39fWYU7OTmZDh8+TF26dFFWsyYSToYtWrSgoKAgunLlCv3xxx/UrFkz2rp1a62xL1++nJo3b06TJk2iS5cu0f79+8nS0pKkUinNmTOHrl69St9//321E/3GjRvpyJEjdO3aNTp8+DC5ubnRW2+9pVxeVFRETz31FM2fP5+IiD744APq2LEjFRQU1BiHur8HTk5OtGbNGiIiKiwspCZNmlBOTg51795dWaU4Li6OACiTfn0TTsuWLSk8PFxl3rRp08jW1pbeeecdunr1Km3fvp0AkFQqpdWrV5NMJqNVq1aRhYWFsuLxw8c/IiKCLl++TIMHD6Z+/fqRt7c3HT9+nBITE8nZ2ZmCgoJUtnf58mUCYHTDkTRUnHAY/frrr2RnZ0dNmzaloUOH0uLFi+n8+fMqbepKOIsXL6bu3buTQqFQtv/ggw9UEs7UqVPpzTffVFnnsWPHyNzcnIqLi2uMy9ramubOnavx/uTk5BAAZRn2qni/++47ZZtLly4RALpy5QoREZ0+fZpEIhHdvHmTiIj+/fdfsrCwUP7Fv3XrVrKzs1O5Ijtw4ACZm5tTdnY2EQknw06dOqmMI/Liiy/S5MmTa411+fLlKldRRERSqZQ6d+6sTJhERG5ubhQcHFzren7++Weyt7dXmRcfH08WFha0dOlSatKkyWOH1VDn9yAwMFD5R8CBAweoR48eRCSMqfLRRx8REdHKlStVrgqqfv7W1tZkY2Oj8qltrKWqK66jR4+qzK/6GT/6sxk+fLhyuqKigmxsbCgsLExl+w8f/7CwMAJAhw8fVs4LDg4mNzc3le3J5XK17gAw9XCnAYYXXngBt27dwv79+yGVShEbG4t+/fphx44dan3/ypUrGDx4sMr45kOGDFFpk5CQgB07dqB58+bKj1QqhUKhqPWhLKk5Znp6ejoCAwPx1FNPoUWLFspRHDMzM1Xa9e7dW/nvqtEbc3JyAABPP/00evbsiR9//BEA8N///hcdO3bEiBEjlPvo4eEBGxsb5To8PT2hUCiQkpKinNezZ0+IRCKV7VRtozadO3eGra2tctrBwQE9evSAubm5yryH1xMTE4PRo0ejXbt2sLW1xauvvorc3Fzcv39f2WbIkCFYuHAhVq1ahffee0+5L7VR5/fAx8cHJ06cQHl5OWJjY+Ht7Q0A8PLyQmxsLADh+c3IkSOrrX/37t1ISkpS+Tz8s3pYcXExAKBp06bVlvXs2bPaz6ZXr17KaZFIBHt7+2o/94ePf9XQyA9/79GfMQBYW1sDAB48eFBjnEwznHAYAOF/7NGjR2PZsmWIj4/H9OnTsXz5crW+S2oMqaRQKDBr1iyVk8358+eRmpqKrl271vgdV1dXXLly5bHrHj9+PHJzc7Ft2zacPn0ap0+fBiB0OniYhYWF8t9ViUyhUCjnvfHGGwgNDQUAhIaG4rXXXlO2qyv5PTz/4W1ULXt4GzWp6Tt1ref69esYO3Ys3N3dsWfPHiQkJOCrr74CAJWeewqFAidOnIBIJEJqamqdMVR53O+Bj48P7t+/jzNnziAmJgZeXl4AhIRz5swZ5OXl4eTJk9U6DABC70ZnZ2eVT23s7e1hZmaG/Pz8ass0/XnV9L2qY/bovEe/U9Vhok2bNrXGytTHCYfVqEePHip/LT+u7aPdWx+d7tevHy5dulTthOPs7AxLS8sa1xsYGIjo6GicO3eu2rKKigrcv38fubm5uHLlCj7++GOMGjUK3bt3r/EkpY5XXnkFmZmZ+PLLL3Hp0iVMmzZNZR+TkpJUfiYnTpyAubk5XF1d67W9+jp79iwqKiqwfv16DB48GK6urrh161a1dp999hmuXLmCuLg4REZGKpOpJh79PejatSs6dOiA/fv3IykpSZlwHB0d0blzZ6xfvx4lJSU1JhxNWFpaokePHrh8+fITredJXbx4ERYWFtV617H64YTTyOXm5mLkyJHYuXMnLly4gIyMDPzyyy9Yt24dnn32WbXWERQUhPT0dCxYsAApKSn46aefqt2O++CDD3Dy5Em88847SEpKQmpqKvbv3485c+bUut758+fD09MTo0aNwldffYXz58/j2rVr+PnnnzFo0CCkpqbCzs4O9vb22Lp1K9LS0nDkyBEsWLCgXj8LOzs7TJw4EYsWLYKfnx/at2+vXDZlyhQ0bdoU06ZNw8WLFxETE4M5c+Zg6tSpytsz+tK1a1dUVFRg06ZNuHbtGv773/9iy5YtKm2SkpKwbNkybN++HZ6envjiiy8wb948XLt2rcZ1avJ74OPjg6+//hrOzs4q++7l5YVNmzbhqaeeQseOHWvcRnZ2tsqnpKSk1v2USqU4fvy4Jj8arTt27BiGDx+uvLXGngwnnEauefPmGDRoEDZu3IgRI0bA3d0dS5cuxcyZM7F582a11tGxY0fs2bMHf/zxBzw8PLBlyxasWbNGpU3v3r0RFxeH1NRUDB8+HH379sXSpUuVz1JqYmVlhaioKLz//vv49ttvMXjwYAwcOBBffvkl5s6dC3d3d5ibmyM8PBwJCQlwd3fHu+++i88++6zeP48ZM2agrKwMr7/+usr8Zs2aITIyEnl5eRg4cCAmTZqEUaNGqf0z0qY+ffpgw4YNWLt2Ldzd3bFr1y4EBwcrl5eUlGDKlCmYPn06xo8fD0DYL19fX0ydOhWVlZXV1qnJ74GPjw+KioqUz2+qeHl5oaioqNarG19fXzg6Oqp8qqpX1GTmzJk4ePAg5HK5mj8Z7QsLC8PMmTMNtn1TY0bq3IBnrJHYtWsX5s2bh1u3btV6q4/pz0svvYS+ffti8eLFet/2gQMHsGjRIly4cEH5oit7MnyFwxiEXkiXLl1CcHAwZs2axcnGSHz22Wdo3ry5QbZ9//59hIaGcrLRIr7CYQzAihUrsHr1aowYMQK///67wU5yjJkyTjiMMcb0gm+pMcYY0wtOOIwxxvSCEw5jjDG94ITDGGNMLzjhMMYY0wtOOIwxxvSCEw5jjDG94ITDGGNML/4PoLnlbk6CRBEAAAAASUVORK5CYII=", "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 = np.linspace(data.SLI_max.min(), data.SLI_max.max(), 2) # make two x coordinates from min and max values of SLI_max\n", "y = slope * x + intercept # y coordinates using the slope and intercept from our linear regression to draw a regression line\n", "\n", "# Plot the regression line\n", "ax.plot(x, y, '-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": [ "We've used the slope and intercept from the linear regression, what were the other values the function returned to us?\n", "\n", "This function gives us our R value, we can report how well our linear regression fits our data with this or R-squared (you can see in this case linear regression did a poor job)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "r-value = 0.5699397138434139\n", "r-squared = 0.32483127741591256\n" ] } ], "source": [ "print('r-value = {}'.format(rvalue))\n", "\n", "print('r-squared = {}'.format(rvalue**2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This function also performed a two-sided \"Wald Test\" (t-distribution) to test if the slope of the linear regression is different from zero (null hypothesis is that the slope is not different from a slope of zero). Be careful using this default statistical test though, is this the test that you really need to use on your data set?" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value = 0.0003515297274446997\n" ] } ], "source": [ "print('p-value = {}'.format(pvalue))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And finally it gave us the standard error of the gradient" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "standard error = 0.07812811196902456\n" ] } ], "source": [ "print('standard error = {}'.format(stderr))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now use this linear model to predict a $y$ (Blue Canyon) value for each $x$ (Slide Canyon) value:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "y_predicted = slope * data.SLI_max + intercept" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Plot residuals**\n", "\n", "We should make a plot of the residuals (actual - predicted values)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "residuals = data.BLC_max - y_predicted" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "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": [ "That distribution doesn't look quite normal, and there seems to maybe be a negative bias (our predictions here might be biased higher then the observations).\n", "\n", "There does seem to be a trend in the residuals over time, so this model may not be the best. \n", "We will explore this again in Lab 5." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "### Making 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": 20, "metadata": {}, "outputs": [], "source": [ "# Use our linear model to make predictions:\n", "BLC_pred = slope * data.SLI_max + intercept" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,5))\n", "\n", "data.plot(x='years', y='SLI_max', c='r', ax=ax, label='Slide Canyon Observed')\n", "data.plot(x='years', y='BLC_max', c='b', ax=ax, label='Blue Canyon Observed')\n", "\n", "# Plot the predicted SWE at Blue Canyon\n", "ax.plot(data.years, BLC_pred, c='k', linestyle='--', label='Blue Canyon Predicted with Linear Regression')\n", "\n", "ax.set_title('Timeline of Peak Snow Water Equivalent (SWE)')\n", "ax.set_xlabel('Water Year')\n", "ax.set_ylabel('Peak SWE (mm)');\n", "plt.legend(loc=\"best\")" ] }, { "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 }