{ "cells": [ { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "from datascience import *\n", "import numpy as np\n", "import matplotlib\n", "%matplotlib inline\n", "import matplotlib.pyplot as plots\n", "from mpl_toolkits.mplot3d import Axes3D\n", "plots.style.use('fivethirtyeight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lecture 34" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "def standard_units(arr):\n", " return (arr - np.average(arr))/np.std(arr)\n", "\n", "def correlation(t, x, y):\n", " x_standard = standard_units(t.column(x))\n", " y_standard = standard_units(t.column(y))\n", " return np.average(x_standard * y_standard)\n", "\n", "def slope(t, x, y):\n", " r = correlation(t, x, y)\n", " y_sd = np.std(t.column(y))\n", " x_sd = np.std(t.column(x))\n", " return r * y_sd / x_sd\n", "\n", "def intercept(t, x, y):\n", " x_mean = np.mean(t.column(x))\n", " y_mean = np.mean(t.column(y))\n", " return y_mean - slope(t, x, y)*x_mean\n", "\n", "def get_fitted_values(t, x, y):\n", " \"\"\"Return an array of the regression estimates at all the x values\"\"\"\n", " a = slope(t, x, y)\n", " b = intercept(t, x, y)\n", " return a*t.column(x) + b\n", "\n", "def get_residuals(t, x, y):\n", " predictions = get_fitted_values(t, x, y)\n", " return t.column(y) - predictions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regression Model \n", "\n", "Let's examine the relationship between:\n", "\n", "- True regression line that captures the linear relationship between two variables (green line)\n", "- A random sample of n points that come from the underlying linear relationship plus random noise off the regression line\n", "- A line fit to the sample of points that approximates the true regression line (i.e., the \"line best fit\" shown in blue)\n", "\n", "To do this we will use the function `draw_and_compare` defined below that takes three arguments:\n", "\n", "1. The true slope of a linear relationship between our variables\n", "2. The true y-intercept of a linear relationship between our variables\n", "3. A sample size (n) of random points that will be used to calculate the \"line of best fit\"\n", "\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def draw_and_compare(true_slope, true_int, sample_size):\n", " \n", " x = np.random.normal(50, 5, sample_size)\n", " xlims = np.array([np.min(x), np.max(x)])\n", " errors = np.random.normal(0, 6, sample_size)\n", " y = (true_slope * x + true_int) + errors\n", " sample = Table().with_columns('x', x, 'y', y)\n", "\n", " sample.scatter('x', 'y')\n", " plots.plot(xlims, true_slope*xlims + true_int, lw=2, color='green')\n", " plots.title('True Line, and Points Created')\n", "\n", " sample.scatter('x', 'y')\n", " plots.title('What We Get to See')\n", "\n", " sample.scatter('x', 'y', fit_line=True)\n", " plots.title('Regression Line: Estimate of True Line')\n", "\n", " sample.scatter('x', 'y', fit_line=True)\n", " plots.plot(xlims, true_slope*xlims + true_int, lw=2, color='green')\n", " plots.title(\"Regression Line and True Line\")" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# have a true slope of 2, an true intercept of -5 and draw 10 random points\n", "draw_and_compare(2, -5, 10)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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u6NevH+PNLLvpt2/fQk9Pr8pzlv3Blf3irSglJaXS41ksllBZWQwdOnQQ9EVJonv37ggNDUVRUREeP36Mq1ev4scff8TixYvRuHFjODk5ASj9JePp6QlPT098+PABd+7cwfHjx3HmzBk8f/4cUVFRYvtaymITd195eXnIysqCvr6+xHErg+p+LmSpWbNm2L59O7Zt24aXL1/i9u3b+OmnnxAcHIzMzMwqk6UsHTp0CHFxcSI7/O/fvy+2hi9O2fuyfv16LFy4sFaxVfXZTk5OZuwnD6K+L4D/mlyLi4uFtvF4POTk5Ij8nuvVqxcuXbpUB5HWvbJ7CA8Px8CBA2t8HpkNp7awsIC7uzuys7Ph5+fH2FbWqSnpF35Z88Nff/0l8hd7WXWwOpo0aYIOHTogNjZWos7+itTV1dGjRw8sW7YMe/fuBVA6hFWUZs2aYdy4cQgLC0OvXr0QGxsr1CZfnra2NiwtLZGSkiKoypZX1rkuqrqszKr7uZAHFouFdu3aYfbs2Th//jwaNWrEeN/lVbMsr2zYuaiRk2XDpisqi7v8r90yvXr1AgCJh85Wpmy0mrjplRT5s13Wl5eYmCi07cmTJygqKmKUGRsbo0WLFnjy5Ilca3C1Ia2/SZnO1ebq6goDAwMcOXIEr169EpTPmzcP6urqWLFihch2YR6Px/hgmpubo3///oiLi2MMAwVKR7VV1r9TGTc3N3C5XLi6uiI9PV1oe3Z2Nv7++2/Bv6OiokT2kZT9SivrQE9NTcVff/0ltF9hYaHgWZ+qnoqfNm0agNJRbOWbUbKysrBu3ToApZ2x9Ul1PxdAaRPTy5cvJepfqKmnT58KPV8ClDZDcLlcxntZNnAkISGhzuKpSosWLQAIf7lHR0dj27ZtIo8pizs+Pl5oW9euXdGvXz9ERETgl19+Efn81atXr0QeW5GjoyP09fVx+vRpoSR45MgRPHz4EO3btxd84SmSsr7i0NBQ5OfnC8qzsrLg5eUl8piFCxciLy8PixYtEppNASgdASvuOUdFMHbsWJiZmWHPnj1iv2cfPHhQZWKV6XM82tra8PDwwMqVK+Hn54eDBw8CAKysrLB79264ubmhT58+GDx4MFq3bg0ej4fExETcu3cPhYWFeP/+veBcgYGBGDp0KJYvX44rV67AxsYGcXFxOH36tKAjv6wqLKkpU6YgOjoa+/btQ9euXTFo0CC0aNECmZmZeP/+PaKiomBvby8Y4bRr1y5cvXoV/fv3R8uWLaGtrY1Xr17h4sWL0NTUFDzUlpSUhCFDhsDKygpdu3aFmZkZcnNzcfXqVbx+/RqjRo1CmzZtKo3Nzc0Nf/75J/7880/07dsXQ4cOBZfLxZkzZ5CUlAQnJyehodR14dChQ7h165bIbY6Ojhg5cqTUrlWTz0VSUpLgF3l1B05UNpwaAGbPng1jY2Ncu3YNvr6+6NmzJ9q2bQsjIyMkJycjIiICJSUl8PDwYNxD8+bNcefOHcydOxetW7cGm83G8OHD0alTp2q+IjXj5OSEnTt3wsfHB7du3ULr1q3x+vVrXLx4EaNGjUJ4eLjQMfb29vj999/h7u6O0aNHQ0tLC7q6upg3bx4AYP/+/Rg9ejTc3d2xd+9e9OzZE3p6ekhKSsLz58/x+PFjHD58GM2bN680Ni0tLezevRvTp0/HmDFj8PXXX6Nly5Z48uQJLl26BF1dXYSEhIht7pKnli1bYty4cQgPD4ednR0GDx6MnJwcXLlyBe3btxc5d9zcuXPx77//4tChQ7hx4wYGDhwIc3NzZGRkIC4uDlFRURg9ejT27dsncRzXr18X+wCtjY2NyJkbakpTUxNHjhzBhAkTMHbsWPTp0wedOnWChoYGEhMT8ejRI7x58wYPHjyotHlU5g+QzpkzB7t378apU6fg4eEhqGpPmDABnTp1QnBwMK5fv47IyEhoaGjAxMQEgwcPxujRoxnnsba2xuXLl7Fu3TrcuHEDt27dQseOHXH48GG8fPkSERERNWoX3rRpExwcHHDgwAHcunUL6enp0NXVhampKb799ltMnDiRcS96enr4559/cP/+fXC5XDRr1gxOTk5YuHChYHRVixYt4OPjg5s3b+L27dtITU2Frq4uLC0t4e7uXun8YGXU1dURHh6OkJAQHD9+HPv374eKigrat28PLy8vQY2ort29exd3794Vua1FixZSTTxA9T8XtVE2nFocR0dHGBsbY9CgQUhISMCdO3dw4cIFZGVlwcjICL169cKCBQsYw/lVVFRw5MgRrF69GpcuXUJWVhb4fD5MTU1llniaNWuG8+fPY82aNbh79y6uXr0KKysrbNmyBQMGDBCZeKZOnYrExEQcP34cwcHB4HK5aN68uSDxNGvWDJGRkfjxxx9x+vRp/Pbbb+ByuTAyMkKbNm2wYcMGiafFGjZsGC5duoStW7fi+vXrOH36NAwNDeHs7Ixly5aJHAWpKHbv3g1TU1OEh4dj//79MDU1xdSpU7F06VJYW1sL7c9isRAUFIRhw4bhl19+wbVr15CRkQE9PT2YmZnBxcUFkyZNqlYMldXw09LSpJp4gNIab1RUFIKDg3Hx4kUcPnwYLBYLxsbG6NChA5YsWSIYpSoOKyMjo27mTZGjuXPn4sSJE7XuACOEECJ9SrseD5/Px8ePH4XKr1+/jvDwcBgYGAjmhiOEEKI45DJXmzTweDx07NgRdnZ2sLKygqqqKp4/f47IyEioqKhgy5YtMh0HTwghRDJK29TG5/MFc0olJCQgJycHHA4HvXr1wqJFi9C7d295h0gIIUQEpU08hBBClJPS9vEQQghRTpR4CCGEyBQlHkIIITJFiUfG5LH+jSzQfSkXui/lUt/uixIPIYQQmaLEQwghRKYo8RBCCJEpSjyEEEJkihIPIYQQmaLEQwghRKYo8RBCCJEpSjyEEEJkihIPIYTI0d2Hz/Dpc/WWaVd2lHgIIUROjp+7jq/nrIbzogDkFxTKOxyZocRDCCEyxufzsXnfCczz3oEibjH+/jcW87x3oKSkRN6hyQQlHkIIkSEutxgLVwfDb1coo/zMlbu4cf9fOUUlW0q79DUhhCibjKxczFiyGdfvPWaUq6upInjdQnzVu4ucIpMtSjyEECID75NSMNnND89exzPKOTpNcGT7cvTr0VFOkckeJR5CCKljD2Newek7fySnMkevtTQ3Rsj6RQg7cw17jp6Dvq42fN2cYdSUI6dIZYP6eAghpA5FRN6H46yVQkmnZ+e2+PPwBoSduYaklDQUFRUjKSUN/rtDxZyp/qAaDyGE1JG9R8/Ba+NP4PP5jPKvB/fGXn93aGo0QlpmNlRYLACACouFzxnZ8ghVpijxEEKIlPF4PKzY8gtCDp8V2rZo5his8ZgKFZXSBid9XW0kpaRBhcVCCZ8PfV1tWYcrc9TURgghUpSbV4BpizcLJR0VFRVsXTEf6xZPFyQdAPB1c4aZsT7U1VVhaqQPXzdnWYcsc1TjIYQQKUlOTYfTd/54GPOaUa6lqYGDgUvg8GV3oWOMmnKwfZWLrEJUCJR4CCFECp6/jsdEt/WIT/rEKG9mpI+wIB90aW8pp8gUDyUeQgippev3/sW0xRuRlZ3HKO/Y1gLHd/nCzKSpnCJTTNTHQwghtXD0dCTGu6wTSjqD+nbF+Z/9KOmIQDUeQohSSk5Nh39wGNIyswUPXsoSn89HwO5j2LT3uNC2mROGYLP3XKip0VesKFTjIYQoJf/gMLk9eFlYxMUC350ik85aj2nYtnIBJZ1K0CtDCFFK8nrwMiMrB1M8NuL23zGM8kbqatjjtwhjh/aTSRzKjBIPIUQpyePBy3cJHzHR1Q+x7xKZsXC0EbrTG7Zdres8hvqAmtoIIUpJ1g9e/v34JQZP8RJKOq0tmuHPwxso6VQD1XgIIUpJ1IOXmemfxOxdO6cv38F8nx0oKCxilPf5oj2O7PCCPqf+T3MjTZR4CCFEDD6fj+BDZ7Byyy9CE32OH9YfwT8shEYjdTlFp7wo8RBCiAjFxTx4bTyA/ccuCG1bMmc8fBc6M+ZcI5KT+at2+/ZtODk5oX379uBwODhy5IhgG5fLxerVq9G3b1+YmpqiXbt2mDNnDuLjmSv2FRYWwtPTE5aWljA1NYWTkxMSExMrXooQQmokJy8fUzw2CCUdNlsFO9e4YuWiKZR0akHmr1xubi46dOiADRs2QFNTk7EtLy8P0dHRWLp0Ka5fv46jR48iMTEREyZMQHFxsWA/b29vnDlzBgcOHEBERASys7MxefJk8Hg8Wd8OIaSe+ZCShhEzV+DijX8Y5dpamjgRvALTxw2WU2T1h8yb2hwcHODg4AAAcHV1ZWzT1dXFqVOnGGXbtm1D79698eLFC3Ts2BGZmZk4dOgQgoODYW9vDwDYu3cvbGxscO3aNQwaNEg2N0IIqXdiXsZhktt6JCZ/ZpSbmzTFsV2+6NjWQk6R1S8KX1fMzi59KIzDKV2D/NGjR+ByuRg4cKBgH3Nzc7Rr1w737t2TS4yEEOV3NeoRhs3wEUo6na1b4fLhDZR0pEihBxcUFRVhxYoVGDZsGMzMzAAAKSkpYLPZMDAwYOxraGiIlJQUseeKjY2t01irQ5FikSa6L+VC9/WfU3/ex4a9v4NXUsIo79/dGn7ff4OczM+Izfws5mjZEHdfVlZWMo6k9hQ28RQXF2PevHnIzMxEaGjVczDx+Xyw/j99hiiK8ubExsYqTCzSRPelXOi+SpWUlGB90FFsPRAutG2u03AELJsNVVW2NEOskfr2filkU1txcTG+/fZbxMTE4PTp09DX1xdsMzIyAo/Hw+fPzF8fqampMDQ0lHWohBAlVVBYhDle24SSDovFgp/nLGzynqMQSac+UrjEw+VyMWvWLMTExODMmTMwNjZmbO/atSvU1NQQGRkpKEtMTMSLFy9ga2sr63AJIUroc3oWxsxbg/ALtxnlmhrq+HWrJ9ymjaq0BYXUjsyb2nJycvDmzRsApdXchIQEPH78GHp6emjWrBlmzJiBhw8fIjQ0FCwWC8nJyQAAHR0daGpqQldXF9OmTcOqVatgaGgIPT09+Pr6omPHjvjqq69kfTuEKKXU9CzsWhvCWMvGqClH3mHVmfJr96iqqOBBzCvEJTL7hJvq6SAsyAc9OreVU5QNh8wTz8OHDzFq1CjBvwMCAhAQEABnZ2d4eXkhIiICAISSSHBwMKZMmQIA8Pf3B5vNxqxZs1BQUAA7Ozvs2bMHbDZViwmRxN6wy8gt5EGFxRKsZVNx3jN5EbXAW22TYtnaPZlZOXgY8wrcYuYzf21bmeF4sC9ampvU6jpEMjJPPF9++SUyMjLEbq9sWxkNDQ1s3rwZmzdvlmZohDQYmdl5UG+kAUC2a9lIoixJSDMppmVmI/lTOp68eIuSCnOu9e/ZCYe3LQNHp0mtrkEkp3B9PISQuqer3VjwBSyrtWwkJe0F3vh8PhI/puLx8zdCSWfyyAEI37OSko6MUeIhpAFa4Owg07VsqkNfV1tqSZHLLYbHuj148OSV0LblCyZhj98iqKup1fj8pGYU9jkeQkjdMeBoK0yfTkW+bs7w3x2Kzxn/9fHURFZOHmYtDcSVqEeMcjVVVexY7YJvRttLI1xSA5R4CCEKRdQCb9WV8DEVk9z88DQ2jlGuo90Yh7YuxwBbm1qdn9QOJR5CSJXqYqRZXYl+9gZO3/njQ0oao7y5qSFOBK+AdevmcoqMlKHEQwhhEJVk6mKkWV24/c9z+G4LRW5+AaO8W6c2CN3pDeOmenKKjJRHiYcQwiAqyUh7pFldOHDsAjw3/IySEubINceBvfBjwPdorNlITpGRiijxEEIYRCUZfV1tQTJStOHXJSUlWL3tEIJ+OS20zWXqSKxfMoMeLlcwNJyaEMIgajizr5uzQg6/zi8oxMylgUJJR0VFBZu85yBg2WxKOgqIajyEEAZRw5mlMdJM2j59zsA37hvw1+OXjPLGGo1wYNNiDP+qp5wiI1WhxEMIYVDEJFPRy7cJmOjqh7jEZEa5AUcbv+1Zha4dWsspMiIJamojhCiVW3/HwGGaj1DSad+6OQ4GuFHSUQKUeAghSuP4uesYO28tMrJyGOVf9e6MC7/6o5kRDZcmnAQpAAAgAElEQVRWBpR4CCEKj8/nY/O+E5jnvQPc4mLGtqljB+FE8AroamvJKTpSXdTHQwhRaEVcLjzW7cHR05FC21Ys/AZL5o6n1UKVDCUeQojCysjKxfTFm3Dj/r+McnU1Vez+4TtMGPGlnCIjtUGJhxCikN4npWCSmx+ev45nlHN0muDoDi/07d5BTpGR2qLEQwhROA9jXmHyQn+kfGauSNzS3BgnglfAqpWZnCIj0kCJhxCiMJJT07HAdydu3PsXvJISxraendsidKc3murr1vjcyjLDdn1Ho9oIIQpj2vebEHknWijpjB7SB3/sX1vjpAP8N/lpUVGxYPJTIh9U4yGEyB2Px4Nv4M+4H/1CaJv7rDFY7T4VKiq1+52sDDNsNxSUeAghcpWbV4C53tsREXlfaJuRAQdrv58uleso8gzbDQ01tRFC5CY5NR0jv10plHRYLMBAT0eq098o6gzbDRHVeAghcvHs1XtMWuiH+KRPjPJG6mro1skKTbQ00cxIX+SxNRkooAyTnzYUlHgIIbVW3URw/e5jTFuyCVnZeYzydpbm6GzdCgVFXMF5RFGWpbiJaJR4CCG1Vp1EcOT0VbivDUFxMY9RPrjfF/hp8xLoNGlc5fVooIByoz4eQkitSZII+Hw+/IJD4bZyl1DSmTXRAWFBPhIlHUD0KqlEeVDiIYTUWlWJoLCIi/m+O7F57wmhY9d9Px1bV8yHqqrkS1TTQAHlRk1thJBaE7Vcdpn0zGxM8diIqH+eMo5ppK6Gvf7uGOPQt9rXo4ECyo0SDyGk1sQlgncJHzHR1Q+x7xIZ5QZ6Oji6wwu2Xa1lFSJRIJR4CCF14q/oF3BeFIDU9CxGeWuLZjgRvAKWLZrJKTIib9THQwiRutOX72DUnNVCSafPF+1x+dAGSjoNnMwTz+3bt+Hk5IT27duDw+HgyJEjjO1//PEHxo0bh9atW4PD4eDmzZtC5ygsLISnpycsLS1hamoKJycnJCYmCu1HCJEtPp+PoF9OY+bSQBQUFjG2TRj+JX7ftxr6HBqB1tDJPPHk5uaiQ4cO2LBhAzQ1NYW25+XloVevXvDz8xN7Dm9vb5w5cwYHDhxAREQEsrOzMXnyZPB4PLHHEELqVnExD0v99mHlll/A//8ItzJL507AvgB3aDRSl1N0RJHIvI/HwcEBDg4OAABXV1eh7U5OTgCAz58/izw+MzMThw4dQnBwMOzt7QEAe/fuhY2NDa5du4ZBgwbVUeSEEHFy8vIx23MLLt18wChXVWVj28oFmDaW/i7Jf5RucMGjR4/A5XIxcOBAQZm5uTnatWuHe/fuUeIhpArJqenwC/kNPKhIZUG0pOTPmPydP/59/pZRrtOkMX7d6omvenepbciknlG6xJOSkgI2mw0DAwNGuaGhIVJSUsQeFxsbW9ehSUyRYpEmui/l4BfyGz6lZYHFYiEtLQPL/ffAx2V8jc4V++4DPPwPIuVzJqPcuKkutvvOhplBY5m/fvXt/Soj7r6srKxkHEntKV3iEYfP54P1/yk7RFGUNyc2NlZhYpEmui/lwYMKWCwWtLS0AADFUKnRPV65/RDzV+1Fdm4+o7xLe0uEBfmInVm6LtXH9wuof/eldMOpjYyMwOPxhPqAUlNTYWhoKKeoCFEe+rrags7/ms5z9svJy5i00E8o6Qy164FzB3+QS9IhykPpEk/Xrl2hpqaGyMhIQVliYiJevHgBW1tbOUZGiHLwdXOGkb5OjeY5Kykpwdodh+G+LgQ8Xglj21zn4Ti6YzmaNBYerUpIeTJvasvJycGbN28AlH6IExIS8PjxY+jp6aF58+ZIT09HfHw8MjNL24zfvn0LXV1dGBsbw9jYGLq6upg2bRpWrVoFQ0ND6OnpwdfXFx07dsRXX30l69shROkYNeXAx2V8tZtuCgqL4LoyCOEXbjPKWSwW/JbOhMvUkZU2dxNSRuY1nocPH8LOzg52dnbIz89HQEAA7Ozs4O/vDwCIiIiAnZ0dRo0aBQBYtGgR7Ozs8NNPPwnO4e/vj5EjR2LWrFkYNmwYtLS0EBYWBjZb8tltCSGS+5yehTHz1gglHU0Ndfy61ROu00ZR0iESY2VkZPCr3o1IS33rJCxD96VYqloRtDr39TouCRPd/PDm/QdGuaG+LsKCfNDdRnFeH2V9v6pS3+5L6fp4CCFVK1sRtKioWLAiaE3cefAMQ6Z5CyWdtq3McPnwBoVKOkR51Jvh1ISQ/0hjaejwC7ewwHcnirjFjPL+PTvh8LZl4Og0kUqspOGhGg8h9VBtlobm8/nYdiAcs5dtFUo6k0cOQPielZR0SK1QjYcQJVJV302ZylYErQyXW4wlfvvwa/ifQtu8XCZj+YJJNIiA1BolHkKUSFnfjQqLJei7EbXyZ02Whs7KycPMpYG4GvWIUa6mqoqda1zg/LV9rWInpAwlHkIUgKQ1GWn03YiS8DEVk9z88DQ2jlGuq62Fw9uX48uenaRyHUIA6uMhRCFIOgqtNn034jx6+hqDpywXSjotTI1w6VAAJR0idVTjIQ2CpDUKeZG0JlPdvpuq7vvijb8x23MrcvMLGMd169QGYUE+4PP5cF8bIvJ4RX9NieKiGg9pEKT1XEtdkbQmU9Z3c2jrMuxY7VLlF31l970/7DycF20QSjojB9ni7IEfYGTAqfR4RX9NieKiGg9pEOqqb0RaajoKrSppmdkoKuLidVwSirjFePEmHh9T0rD9l7M48sdNof1dp43CD4unC6afqux1U/TXlCguSjykQdDX1RaMBpNW34g01WQUmiT0dbXx4EksCgu5AIsFLrcYQ2f4IC6RuWiiiooKNnp9i7lOw4WOF/e6KfprShQXNbWRBsHXzRlmxvo1WgpAmfm6OYPNVgGbrQI1Nhu5eQVCSaexRiMc3eEllHTKjhf3ujXU15TUHtV4SINQVzUKRWfUlAP73l0R+y4JD2NikV9QxNhu3JSDY7t80bVDa7HHi3vdGuprSmqPajyE1HND+nfD349fCCWd9q2b488jG8UmHULqCiUeQuqxY2evY5bnFqE513p1boMLv/qjeTNaLp7IHjW1EVIP8fl8bN53Av7BYULbpo0dBFenQdDV1qrTGOg5HyIO1XhIg5Wcmg73tSGYtngT3NeGICU1Q94hSUURlwu3VbtEJp1uHdtg5xpXqKrW/Wq99JwPEYcSD2mw6uMXY0ZWLia4rMfR05GMchaLhc7WrWDWrKnMZpem53yIONTURhqsil+MicmfhaaHUSZxiSmYvNAPz1/HM8rVVNn4omMb6Oo0kemzNvScDxGHajykwao4Tc27hGSlrQE9eBKLIVO9hJJOC1MjjBxkC2NDvWo9a5Ocmo653tvRefh8dB6+AHO9tle7KZKe8yHiUI2HNFgVp6lhAYJmKGVqGjoXeR9zlm8VGi7dq0s7HN3hhab6utU+p39wGKL+jkEhtxjg8xH1IEbs2j/i0HM+RBxKPKTBqvjF6L42ROmahkIOn4XP5oPg/7/mVqaZkT6sWpmhpIQv5sjKpWVmo5jHAwv4/1Q7PKVJxETxUVMbIf8n76ah6oyy4/F4WL7hALw3/SSUdFqaG8OmXSukfM6scXOhvq42VNls8FE6NFtNja0UiZgoB6rxEPJ/opqGMtM/yez6ki5rnZtXgDle23D+2l+McjZbBR2tLNDMyAAAwAJqXEvxdXNGQWEh7jx8BoAF2y7W1EdDpIYSDyEKQpLhx8mp6Zi80B+Pnr5mlDdprIGfA5fizJV7UmkuNGrKwV5/jxodS0hVKPEQIiNVPclf1fDjZ6/eY6LbeiR8SGWUmxrp41iwL2zatUJna8s6WdeHEGmixEOIjFTVlFbZYnDX7z7GtMWbkJWTxzhnp3YtcSzIB2YmTQHQSDKiHCjxEKWkjPOAVdWUJippJKemY7bnVkQ9eCo0iGBwvy9wMHAptLU06zZwEZJT07Ei8Bfci34OgI/eXdtj/ZKZCv8eEMVAo9qIUlLG6W4qPrBaVf8Ln8/HRNf1uP1PjFDSmT1xKMKCfOSSdID/P+fzIAZ5eQXIyy/C7X9ilOI9IIqBEg9RSso4D1h1hmsXFnEx32cHHj9/K7Rt3ffTsWXFPJlM9ClOWmY2uFweWCwWWACKi+k5HyI5amojSkkZ5wGTtP8lPTMbUzw2Iuqfp4xyFRUWvuxpg0WzxtRViBLT19WGmhobhYVcgMWCKpue8yGSk3mN5/bt23ByckL79u3B4XBw5MgRxnY+n4+AgABYW1vDxMQEjo6OePbsGWOfwsJCeHp6wtLSEqampnByckJiYqIsb4PImTQe9hT3wGb5cr+Q30Q+yFlXSyq8jf8Ih2k+QklHXU0VQ+164McAxRji7OvmjH7dO6JxYw001lRHvx4daQQdkZjME09ubi46dOiADRs2QFNTuH16x44dCA4OxsaNG3H16lUYGhpi7NixyM7+rxrv7e2NM2fO4MCBA4iIiEB2djYmT54MHo8ny1shclRWezi0dRl2rHapUae2uH6i8uWf0rJE9l3URR/TX9EvMHiqF2LfMX9EtbEwxb1TOxG601thOu+NmnKwL8ADj8/vwePze7EvwENhYiOKT+ZNbQ4ODnBwcAAAuLq6Mrbx+XyEhITAw8MDo0ePBgCEhITAysoKJ0+exKxZs5CZmYlDhw4hODgY9vb2AIC9e/fCxsYG165dw6BBg2R7Q0RpiesnKl/OEtN/JO0+ptOX72C+zw4UFDIn+uzTrQOObF8OfQ6zGUsZR/URUkahBhfExcUhOTkZAwcOFJRpamqib9++uHfvHgDg0aNH4HK5jH3Mzc3Rrl07wT6ESELcKLPy5Xwx/UfVHaEmDp/PR9DPpzBzaaBQ0pk44kuc2rdaKOkAyjmqj5AyCjW4IDk5GQBgaGjIKDc0NMSHDx8AACkpKWCz2TAwMBDaJyUlRey5Y2NjpRxtzSlSLNKkbPflPMIWe0MvISM7D7rajeE8whaxsbGMckN9HUG5JMdWRzGPh8ADf+C3i3eFts2eMBALnBzwPu6dyGPfJ3wAt/i/puW4+MJqX1/Z3i9JNbT7srKyknEktadQiadMxaV5+Xx+lcv1VrWPorw5sbGxChOLNCnjfVkB6N2zW6Xl4u5L3LGSys7Nx7fLtuDSzQeMclVVNratXIBpYytvMm5h3owxqs/USL9ar78yvl+SoPtSDgrV1GZsbAwAQjWX1NRUQS3IyMgIPB4Pnz9/FrsPIYosKfkzRsxaIZR0dJo0xsndK6pMOoD8l3AgpDYUqsZjYWEBY2NjREZGolu30l+TBQUFuHPnDtatWwcA6Nq1K9TU1BAZGYmJEycCABITE/HixQvY2trKLXZCJHH93mM4LwpAXn4ho9y8WVMc3+WLDlYWEp2H5mQjykzmiScnJwdv3rwBAJSUlCAhIQGPHz+Gnp4emjdvDhcXF2zZsgVWVlZo06YNAgMDoaWlhQkTJgAAdHV1MW3aNKxatQqGhobQ09ODr68vOnbsiK+++krWt0OIxK7cfojJ3/mjuJg57L9Le0sc2+UDE0N9OUVGiGzJPPE8fPgQo0aNEvw7ICAAAQEBcHZ2RkhICNzd3ZGfnw9PT09kZGSge/fuCA8Ph7b2fyN7/P39wWazMWvWLBQUFMDOzg579uwBmy2/KUQIESc5NR0zlwTi7qNnqDDlGoyb6uHcwR/QpLF85lwjRB5YGRkZNVuUndRIfeskLEP3JVpJSQnsJi3Fk5fvhLY1NzXEV727IGiNq/CBdYzeL+VS3+5Lofp4CKkNWT5UKcm1CgqL4LJip8ik07GtBXrYtKVBAaRBosRD6o2qFlqTVPmkwkYJNvksEEoqVV3rc3oWvnEPwL1HLxjHqaiwMKBXZ/y+b3XNbpKQekChhlMTUhvSmsZGkrnaKrvW67gkDJnmLZR01NXVMHxAT+z1d69RXITUF1TjIfWGtJZKkGSuNnHXuvPgGb5xD0B6Zg5j/3aW5jgevAIWZkY1iomQ+oRqPKTemOc0HO8SPuLxszd4l/AR851H1Og8ZfOwFRQWIfZdEqKfvRZa+kDUA5y/nb+F0XNXCyWdL3t2wsVf/SnpEPJ/VOMh9ca+sPNoaW4iqIXsC4uoUR+Pr5sz/HeH4uqdaPABtG5uKtSPU/4BTj6fj20HwrFu5xGhczmN+go717hAXU1N7PVopmnS0FCNh9Qb0urjKUsqXdpbom1LU6irq4k9H5dbjEVrdotMOt6uTghZ/12lSQegmaZJw0M1HlJvSHs5bH1dbaSllTaviTpfZnYuZi4NROSdaEa5mqoqgta6wmnUVxJdR9pr+xCi6KjGQ+qN6k6cWdXy1b5uzjDS1xF5vvgPnzB8hq9Q0tHV1kL43lUSJx1Aemv7EKIsqMZD6o3qTpxZ1bM4Rk058HEZL/TE+KOnr+H0nT8+fkpnlLcwNcKJ3SvQztK8WnGX9Sl9zvivj4eQ+owSD2mwatLEdfHG35jtuRW5+QWM8u6drBAa5A0jg+oPCqCZpklDQ01tpMGqbhPX/rDzcF60QSjpjBxkizMH1tUo6RDSEFHiIQ2WpH1CJSUl8A08iKX+P6KkpISxzW36KPwSuBSNNRvJImRC6gWJm9qGDh2KWbNmYezYsWjUiP7IiPKTpImroLAIM5YE4syVu4xyFRUVbPT6Fl8P7o3F6/fRMziEVIPENR5VVVW4uLjA2toaPj4+ePnyZV3GRYjcpXzOwILV+4SSjpamBo7u8MJcp+H0DA4hNSBx4jl37hzu378PZ2dnhIWFoXfv3nB0dER4eDi4XG5dxkiIzL14k4DBU7wQExvPKDcy0MW5gz9g2IAeAOgZHEJqolp9PFZWVvD398ezZ8+we/dulJSUYM6cOejQoQPWrFmDd+/e1VGYhMjOzb+ewGGaN94npTDKmzTWwADbzujaobWgjJ7BIaT6ajS4oFGjRnByckJAQAD69OmD1NRU7NixA927d8eMGTOQnJws7TgJkTpRD5AeO3sd4+avQ2Z2LmNfA44OenW1RkERs3Zf3YdWCSE1eI4nPz8fJ0+exMGDB/Ho0SO0bdsWGzZswJgxY3DhwgVs2LABc+fOxR9//FEX8RIiNeUfIE1M/oxJC9fj0dM3QvuZmTRFhzYtABZLqEZDz+AQUn0SJ56YmBj8/PPPOH78OPLy8jBixAisWbMGdnZ2gn1mzJgBIyMjzJw5sy5iJUSqyvpnSkpK8DQ2DknJn4X2mTnOHnwWG2mZOTSrACFSInHi6d+/P5o1awYXFxfMnDkTJiYmIveztLREz549pRYgIXVFX1cbcUkpePz0DdIymYMC1NVUEbJ+ETq3MRaaMocQUjsSJ56ff/4ZI0eOBJvNrnS/du3a4ezZs7UOjBBpErXmzYzxQzB2/lqh/hw93SY4usMbfbq1R2xsbKXnoGd2CKk+iRPP6NGj6zIO0oDJ4gu94oSgi9fvwb1HL4SSTqvmJji5ewVaW5hWeY6Kk4oSQiRDk4QSuZPFF3r5521SP2cg+vlboelvbLu2w5HtXmiqrysoS03Pwq61IUjLzEb0szdoZW4CjUbq9MwOIbVAiYfInSwewixbJC4+KQXPX8cLbR87tC9C1i+CRiN1RvnesMvILeRBhcUCr5iHV3GJ6NS2VY2e2aGmOkJK0SShRO7EPYRZ1UJt1eG1YDISPohOOh6zx+LAxsVCSQcAMrPzBEmxbStzsNkqNX5mh6bXIaQU1XiI3IlbCE1aTXC5eQX4fv0ePHvFTDpstgq2+s7HjAlDxB6rq91YUONRVVOFfe+u2LFadAxV1Whoeh1CSlHiIXWiOs1K5R/CTE5Nh19waI36VERds4RfAqfvAvDo6WvGvtpamvg5cCkG9fui0nMucHZA2Pl7Eq0OWlWiLGvuU2GxaHod0qBR4iF1oqa1lfLHSdKnUj7ZPH8dD1MjA2g0UkdSSho8A37EP09ikfAhlXGMmbEBjgX7olPbllXGY8DRlriWVVWNhpa4JqQUJR5SJ2rarFT+uLatzPE6Pgnq6qpiv6jLJ6qMrFzkFxSio1VLpGdkI/LpaxTzeIz9baxb4ViQD0yNDWp5h8KqqtHQ9DqElKLEQ+pETZuVyh9XVZ8KwExUjdRUUVTEReLHVMTEvsP/xysIDOnfDT9tXgJtLU2x56vYXOc8whaSzltANRpCJEOj2kidqOmszWXH8fkleJfwEUkpnysd0VZ+RFyr5iYo5pXgyUvhpDN74lCE7vSuNOkAwiPP9oZekihu4L8azaGty7BjtQsNlSZEDIVMPNnZ2fDy8kKnTp1gYmICBwcHPHjwQLCdz+cjICAA1tbWMDExgaOjI549eybHiElFNf0SLjuumZEBWpqbQIWlUunQ47JExVZVQcLHVKSJaNL7YfF0bFkxD6qqwtM9VRyy/eH/tS2gtIkwIzuvGndNCJGEQiaeRYsW4erVqwgJCUFUVBTs7e0xZswYJCUlAQB27NiB4OBgbNy4EVevXoWhoSHGjh2L7GwanlpfSNpHZNSUg1WLpiI9Iwdv4z8ytmk0UscvgUvx3cwxYP3/XBVVrOG8TfjIeKZIV7uxRPFK85kjQuo7hUs8+fn5+OOPP7B69Wp8+eWXsLS0hLe3N1q1aoWffvoJfD4fISEh8PDwwOjRo9GhQweEhIQgJycHJ0+elHf4REokXdnzbfxHOEzzxp0HTxnlTfV0cGb/Wox26FvpdSomuJbmxowmwgXODhLFK+7hUEpIhAhTuMRTXFwMHo8HDQ0NRrmmpibu3LmDuLg4JCcnY+DAgYxtffv2xb1792QdLqkjkvQR3Y9+gcFTvfAqLolR3sbCFJcPb0DPLu2qvE7FBGdqZMBoIjTgSDYoQlwNjWYrIESYwo1q09bWRq9evRAYGIj27dvD2NgYJ0+exP3792FpaSlYVtvQ0JBxnKGhIT58+CD2vOWnt5c3RYpFmqR9X27OgwX/n5n+CZnpnwT/vnLnMVbvPIbComLGMV+0b4XNy6ejuCAbsbFVN706j7DF3tBLyMjOg652YziPsBW6D0nui40S5OTkgMVigc/nw1BfB7GxsXif8AHc4v+GdMfFFyrM+68ocUhbQ7svZVwvSuESDwDs3bsXbm5u6NChA9hsNrp06YIJEyYgOjpasE/FNns+ny+2HR9QnDcnNjZWYWKpCXEzEsjqvvh8PoJ+Po1V244IbZs44kvsWrcQjdTVJD6fFYDePbuJ3S7pfW3yWSA0lNqoKQctzJsxhpWbGukrxPuv7J9Dcei+lIPCNbUBQKtWrRAREYHExETExMTg6tWr4HK5sLCwgLGxMQAgJSWFcUxqaqpQLYhInzybjoqLeViyfh9WbftVaJvn/InYF+BRraQjLWXT/FRMOkDNh5UTUp8pZI2njJaWFrS0tJCRkYErV65g3bp1guQTGRmJbt1Kf6kWFBTgzp07WLdunZwjrv/kNdFldm4+ZntuweVbDxjlqqpsbF+1AFPHDJJJHKJUNj0QzVZAiDCFTDxXrlxBSUkJrKys8PbtW6xcuRJWVlaYMmUKWCwWXFxcsGXLFlhZWaFNmzYIDAyElpYWJkyYIO/Q6z15THSZlPwZkxb64cmLd4xynSaNcWjrMgzo3VlQJo81b2jWaUKqRyETT1ZWFtauXYukpCTo6enh66+/xooVK6CmVtqM4u7ujvz8fHh6eiIjIwPdu3dHeHg4tLVptt+6JutpYf598RaT3fyQlJLGKNdqrIHQHd7o17Mjo1zSyUmlmaBo1mlCqoeVkZHBr3o3Ii31rZOwTF3c15+3HmDm0kDk5BUwynWaNEbXjm1g2dxYKKlMW7wJReVGuqmrq+LQ1mVC53ZfG8JIFmbG+iITlCT3lZKaIXJggSKjz6FyqW/3pZA1HkJ+PnkJS/z2gccrYZQb6uuic3tLqLLZIpu0Kqt9lK/lVHetn8pQPw4h1UOJhyiUkpISrN1xGDsOnhLa1r51c5g1MwRbRUVsk1ZlTYHVXetH1uTRP0WIPFDiIQojv6AQLiuCcOpSFKOcxWLB33MWxg/rX2X/UmW1j+qu9SNr0lrqmxBFR4mHKITUtEx8474B96NfMMo1NdSxf+NiONr3AoBafRFXd60fWaPRcaShUMgHSEnD8updEoZM8xZKOkYGHJz76QdB0qktRX+YU9KJUQlRdpR4iFzdefAMQ6Z5CS1p0M7SHJcPb0C3TtIbycMHX2iBOEWi6ImREGmhpjYiNycjbsJ1ZRCKuMyJPu162eDXrcvA0dGS6vWq6kMR1bkvSzQ6jjQUVOMhMsfn87Hlx5OY47VNKOk4f22PkyErpJ50gKr7UGgJA0Jkg2o8RKa43GIsXr8Xh36/IrTNx80JnvMmVjrLeG1UNcMAde4TIhtU4yEyk5mdi0kL/YSSjpqqKvb6u2PZ/El1lnSAqvtQqHOfENmgGg+RifgPnzDZzQ9PX71nlHN0muDw9uXo36OjmCOlp6o+FFEPn5ZffI4QIh2UeEide/T0NSYv9ENyagaj3MLMGCd2+6JtK3M5RcYkKjFR4iFE+ijxkDp14frf+HbZVuTmMyf67GFjhdCd3jA0oClhCGloKPGQOvNj2Hks33AAJSXMiT5HDeqNvf7uaKzZSE6REULkiRIPkToej4eVW3/F7kNnhLYtnP411i2eDhUVGtdCSENFiYdIVV5+Ieb5bMfZK/cY5SoqKtjk9S3mOA2XU2SEEEVBiYdUqjpT9ad8zoDzdwH450kso1xLUwM/bV6MoXY9ZBEyIUTBUXsHqZSkT/O/TUjG4CleQknHxFAPET+vp6RDCBGgGg8REFW7keRp/pt/PcG3PiHIzs1nlHewssDxYF+YmzSVSfyEEOVANR4iIKp2U9XT/GFnrmHc/HVCSWdg36648IsfJR1CiBBKPERAVO1G3DQzfD4fG0KOYYHvTnCLmRN9Th83GMeCfKDTpLHM74EQovioqY0IiJpEU9TT/EVcLhatCUHYmReBxpUAABbySURBVGtC51jtPhUes8fW6ZxrhBDlRomHCIiaq6yijKwcTPt+E27+9YRRrq6mij1+izBuWH9ZhVsnKvZzOY+whfSWoiOEAJR4SDlVTaIZl5iCSW7r8eJNAqNcn6ONTZ5TlT7pAMKLxe0NvYTePbvJOyxC6hVKPEQi//wbC6fv/PEpLZNRbtmiGU4E+6KkKLdG563Oc0KyULGfKyM7T26xEFJf0eACUqWzV+9h5LcrhZJO7y+scflQAFpbmNb43Iq26mfFUXy62jRAghBpo8RDxOLz+dh96Aymfb8J+QVFjG3jhvXDqX1rYKCnU6trKNqqnxVH8S1wdpBrPITUR9TURkTi8Xjw2vQTfgw9L7Tt+2/HYeV330hlos+qlqOWtYr9XLGxsZXsTQipCarxECE5efn4xn2jUNJhs1WwY5ULVrtPldrs0lUtR00IqX+oxkMYPn5Kw+SF/oh+9oZRrq2liZ8Dl2JQvy+ker2qRtIRQuofSjxE4GlsHCa5+SHhYyqj3MzYAMeCfdGpbUv5BEYIqVco8RAAwLW70Zi+eDOycpjDh22sW+H4Ll80M9Kvs2tLc0i1og3PJoQIU7g+Hh6Ph/Xr16Nz584wNjZG586dsX79ehSXmw+Mz+cjICAA1tbWMDExgaOjI549eybHqJXbod+vYILreqGk4/BlN0QcXC9x0klOTYf72hBMW7wJ7mtDkJKaIdFx0hxSrWjDswkhwhSuxrN9+3bs378fISEh6NChA2JiYuDi4gJ1dXUsW7YMALBjxw4EBwcjODgYVlZW2LRpE8aOHYu//voL2tryHRWlqETVBAwNdOG3KxSBP54U2v/bSUOx0WsOVFXZVZ6nrEZR8al//92hEvXf1HZIdfmYop+9QStzE2g0UleI4dmEEGEKV+O5f/8+hg0bhuHDh8PCwgIjRozA8OHD8c8//wAore2EhITAw8MDo0ePRocOHRASEoKcnBycPCn8BUpKVawJ/BB0BHO9tgslHRaLhR+WzECg7zyhpCPqPOVrFDVNIFUtvVCde+MV8/AqLrHG5yKE1D2FSzy9e/fGrVu38PLlSwDA8+fPcfPmTQwZMgQAEBcXh+TkZAwcOFBwjKamJvr27Yt79+7JJWZlUD4pFBfzcC7yPk6ev8nYR6OROn4OXIrvZowWO7t0ZcmlpgmktkOqy8fUtpU52GwVGp5NiAJTuKY2Dw8P5OTkwNbWFmw2G8XFxVi6dCnmzJkDAEhOTgYAGBoaMo4zNDTEhw8fxJ5XkR4ElEcsbJQgJycHBUVcxMS+R0Ehl7FdT0cLW7xnoEPLppXGV3YeFosFPp8PQ30dwf7OI2yxN/QSMrLzoKvdGM4jbCW+VzfnwYL/z0z/hMz0T9W+t7KYurVvBV+XsTU6lyiK9NmRJrov5SLuvqyslG/+dIVLPOHh4QgLC8P+/fthbW2Nf//9F15eXmjRogWmT58u2K/iL3I+n1/pGjCK8ubExsbKJZZNPgvg8UMI/rr1EEVc5sJtVi3NcGK3L1qam0h0nopLJxg15SA2Nha9e3ZD757dBH0uwaF/ymRkmbiYpEFe71ddo/tSLvXtvhQu8axatQoLFy7E+PHjAQAdO3ZEfHw8tm3bhunTp8PY2BgAkJKSAnNzc8FxqampQrUg8p+oB09x5fYjoaTTr0dHHN62DHoSNotJ8sBnTQcZ1BQ9hEqIclG4Pp68vDyw2cxObTabjZKSEgCAhYUFjI2NERkZKdheUFCAO3fuwNbWVqaxKgM+n48dP/2OmUsDUVjEbF6b5GiH8D2rJE46klK0iT8JIYpF4Wo8w4YNw/bt22FhYQFra2s8fvwYwcHBcHJyAlDaxObi4oItW7bAysoKbdq0QWBgILS0tDBhwgSZxakMDyoWF/PgGfAjDp64JLTNc/5E+Lg61ckS1Yo28SchRLEoXOLZtGkT/Pz8sGTJEqSmpsLY2BgzZswQPMMDAO7u7sjPz4enpycyMjLQvXt3hIeHy/QZHlk3J1VXdm4+Zi0NxJ+3HzLKVVXZ2LHaBVNGDxRzZO1JsoQ2IaThUrjEo62tjQ0bNmDDhg1i92GxWPD29oa3t7cMI2NS5OakxI+pmPydP568eMco19FujENblmFA784Sn6smNTvqcyGEVEbh+niURW0feqwr/754iyFTvYSSTnNTQ1z6NaBaSQegKWgIIdKncDUeZSHv5iRRNZHoZ28wyzMQOXkFjH2/6NgaYUE+MG6qV+3rKHLNjhCinCjx1JC8m5Mq9jHNWLoZ96NfgMcrYew3/Kue2L/he2g11qjRdWigACFE2qipTUmV1UT4fD5i3ybizoNnQklnwRRHHN62rMZJB6AVQgkh0kc1HiWlr6uN+A+piHn5Dsmp6YxtLBYLActmY8EUx1pfR941O0JI/UOJR8GV78vRUFcHiwXkFxaBBSD66Wt8zshi7N9YoxH2b/weI+x7ySdgQgipAiUeBVe+L+fBk9JJAluZN8M/T2KRX1DI2NfIgINju3zwRcc28giVEEIkQolHwZUfVcbl8sAtLsa9R8/ALeYx9mvfujmOBfuihamRPMIkhBCJ0eACBVf+eSFucTHSM3OEko5dLxuc/8Wfkg4hRClQ4lFwvm7OMDXSw7vEZKRn5ght/2a0PU6GrABHR0sO0RFCSPVRU5uE5DUpqJ5uE/BK+HjxOl5om+9CZyydO6FOJvokhJC6QjUeCclj6pjM7FxMdFuPw79fYZSrq6liX4A7POdNpKRDCFE6VOORkKynjon/8AmTXNfjWYWaDkenCQ5vX47+PTrW6fUJIaSuUI1HQrKcFPTR09cYPGW5UNJpaW6My4cCKOkQQpQaJR4JyWrqmPPX/sKImSuQnJrBKO9hY4XLhwJg1cqsTq5LCCGyQk1tEpLF1DH7QiPgtfEnwTLf/2vv7qOirvM9gL8HFEShJWDuYEvSA0MaiQ+DB/JSdLio7Zr4QCvbA3kpLTEJtEuJcI+KmMrDJSOcNXE9ZJZLHvOU1pb3iopF6ra3Vq7Vwp3ASBoe3HHVeFD83T/2MjnMwIw6v6fx/TpnzoHvD5jP93yEt9/f/Ob37ZecFIctr2TBb4SvqM9PRCQFBo8C9PX1Ib+0Csa39tkdy1wwG2uWpcHLi4tTIvIMDB6Z/dTVg0W5Zdh/8LjNuJeXF4pzF+KZ1IdlqoyISBwMHhm1dVrw28xX8Of6RpvxUX4jsL3kRUx/wCBTZURE4mHwyORbUwt+s6QQp8+02YyP/qcg7CpfiQnj7pKpMiIicTF4ZHDk+EmkLSvCufMXbcajIsNR/XoefhkaIlNlRETiY/BIbP+hL7DOuAeXLl+2Gf+XqROxveTfcIv/SJkqIyKSBoNHIoIgYIPxD9j4u2q7YwtSpqFk5SIMH852EJHn4186CfReuoTMVZvxh32H7Y6tzn4SWelzec81IrppMHhEZvn7BTy5rAhHT9TbjPv6DIexMBPzHo6XqTIiInkweFxwvVsiNLWYMf/5Qvz1ux9sxoMCA/D2phWImzROrJKJiBSLb4d3wfVsifDFyQZMe3KFXeiMGR2C/3xrg03omDv+hqw1RqQtL0LWGiPaBtynjYjIkzB4XHCtWyJ88F+f45Fn/h3tZ8/ZjMdNGott65fgrjGjbcbl2OuHiEguDB4XuLolgiAIqNjxAZ5aXoyu7l6bYykPx2PvG6sRGGC/RbXUe/0QEcmJr/G4IO/5x/DK5nfQafn5NZ6BLl/uQ27R77F110d2x5Y/Mw/5mY8PeqPPoF8E4EzbWXhpNKLv9XOt5Nrym4g8F4PHBc62RLjwUxeeeakMHx/5k824t7cXyvKfw1Mp04b8+a4Em1z6TwN6aTTW04Bibw9BRJ5NccEzfvx4fP/993bj06dPR3V19T/eiLlhA6qqqmCxWGAwGFBSUoJx4+S5Qqy17SxSl67DX775zmY8YJQfqkpzkDh1otOfIcVeP9eLpwGJyN0U9xpPTU0Nvv32W+vj8OHD0Gg0mDNnDgBg06ZNqKiowMaNG3Hw4EFotVrMnTsX589L/wfxf/7ajGlPrrALnbDQEPyx6hWXQkfppNzym4huDooLnpCQEOh0OuvjwIEDCAgIwJw5cyAIAoxGI7KzszF79mzce++9MBqNuHDhAnbv3i1pnTV1X+JX/5qHlh87bMajx96JA29tQFRkuKT1iEWqLb+J6OahuFNtVxMEATt27EBqaipGjhyJpqYmmM1mJCYmWr/Gz88PU6dOxbFjx5Ceni5qPf0vtH956n/xl2++g/D/K4F+Mx40YFvRcviP9BO1Dikp+TQgEamTooOnpqYGzc3NSEtLAwCYzWYAgFartfk6rVaL1tbWIX9WQ0PDDddTuHk3vqg3ocXcaXfs0Yfvx4tPz0LrDy1Of447alEizktdOC91GWxeer1e4kpunKKDp6qqCpMnT0Z0dLTN+MAbagqC4PQmmzfanO6eXpyoN+HMgNDRaDRY++ICPJ82y6UbfTY0NKjyH4oznJe6cF7q4mnzUtxrPP3a29vx4YcfYsGCBdYxnU4HAGhrs921s6Ojw24V5E5nLecx99k1dqHj7eWFqtIcLH0qmXeXJiJykWKDZ+fOnfD19cW8efOsY+Hh4dDpdKipqbGOdXd3o66uDrGxsaLUYTrdimlpK1D331/bjI/wHY5d5blITooT5XmJiDyVIk+1CYKAN998E/PmzUNAwM+X72o0GmRkZKC0tBR6vR4REREoKSnBqFGj8Oijj7q9jmNffoPHszag829/txmPvPOXqK7Iwx1hoW5/TiIiT6fI4KmtrYXJZMLWrVvtjmVlZaGrqws5OTnWN5Du2bPHJqDcYe8nn+G5lZvQ03vJZvyfY6Kw89WXEXiLv1ufj4joZqHI4HnwwQdhsTjeGkCj0SA3Nxe5ubmiPf+uDw5hcd5rduPzH0lA+eol8PUZLtpzExF5OkUGj9weiotG2OgQtLT+/ObQl56bj9wlqaJcRMAbcRLRzUSxFxfIKVQbhOrX83CL/0gMG+aNzWszsfL534p25Rr34yGimwlXPIO4Vx+OHf/xEqDRICF2vKjPdfWNOHt7L+Fg3VdIW17E1Q8ReSSueIaQEBcteugAtjfibGz+AX2X+7j6ISKPxeBRgKtvxOnt7YXIO8MAcBsCIvJMPNWmAFffiDNrjRFn2s4C4DYEROSZuOJRGG5DQESejiseheE2BETk6bjiISIiSTF4iIhIUgweIiKSFIOHiIgkxYsLRDbwPmyP/ToWnrOPIBHRteOKR2QD78O25Z1P5C6JiEhWDB6RXX0fNi+NBpbzP8lcERGRvBg8Irv6PmxXBAG/CBgpc0VERPJi8Ihs4J0IFj82Xe6SiIhkxYsLRDbwTgQNDQ0yVkNEJD8GjwPcEZSISDw81eYAdwQlIhIPg8eBgVeicU8cIiL3YfA4MPBKNO6JQ0TkPgweB7gnDhGReHhxgQPcE4eISDxc8RARkaQYPEREJCkGDxERSYrBQ0REkmLwEBGRpBg8REQkKQYPERFJisFDRESS0lgsFkHuIoiI6ObBFQ8REUmKwUNERJJi8BARkaQYPEREJCkGDxERSYrBI7LS0lIEBgYiJyfHOiYIAtavX4+xY8ciNDQUM2fOxNdffy1jldfO0bwyMjIQGBho80hKSpKxStesX7/eru7IyEjrcTX2y9mc1NorAPjxxx+xePFi3H333dDpdIiNjcXRo0etx9XYL8D5vNTcs4G4H4+ITpw4gaqqKkRFRdmMb9q0CRUVFaioqIBer0dRURHmzp2LEydOICBA+budDjYvAHjooYewZcsW6+c+Pj5Slnbd9Ho99u3bZ/3c29vb+rFa+zXUnAB19spisWDGjBmIi4tDdXU1goOD0dzcDK1Wa/0aNfbLlXkB6uyZIwwekZw7dw6LFi1CeXk5ioqKrOOCIMBoNCI7OxuzZ88GABiNRuj1euzevRvp6elyleySwebVz9fXFzqdTobKbsywYcMc1q3mfg02p35q7NVrr72G0NBQmz++d9xxh/VjtfbL2bz6qbFnjvBUm0j6/+EnJCTYjDc3N8NsNiMxMdE65ufnh6lTp+LYsWNSl3nNBptXv7q6OkRERMBgMOCFF15Ae3u7xBVen6amJowbNw7R0dF4+umn0dTUBEDd/RpsTv3U2Kv9+/fDYDAgPT0dERERiI+PxxtvvAFB+Mf74NXaL2fz6qfGnjnCFY8IqqqqYDKZbP730s9sNgOA3RJaq9WitbVVkvqu11DzAoCkpCTMmjUL4eHhOH36NAoLC5GcnIxDhw7B19dX4mpdFxMTg82bN0Ov16OjowPFxcWYPn06Pv/8c9X2a6g5BQUFqbZXTU1N2LZtG5YsWYLs7GycPHkSL7/8MgDg2WefVW2/nM0LUO/vlyMMHjdraGhAQUEBPvrooyHPv2o0GpvPBUGwG1MSV+aVkpJi/TgqKgoTJ07E+PHj8fHHHyM5OVmqUq/ZtGnTbD6PiYnBxIkT8fbbb2PKlCkA1Nevoea0dOlS1fbqypUrmDRpElatWgUAmDBhAkwmEyorK61/oAH19cuVeam1Z47wVJubHT9+HJ2dnbj//vsRHByM4OBgfPrpp6isrERwcDCCgoIAAG1tbTbf19HRYfe/NCVxNq+enh677xk9ejRuu+02mEwmGSq+fv7+/hg7dixMJpP1fLra+jXQ1XNyRC290ul0uOeee2zGIiMj0dLSYj0OqK9fzubliFp65giDx81mzpyJzz77DLW1tdbHpEmTkJKSgtraWkRERECn06Gmpsb6Pd3d3airq0NsbKyMlQ/N2bwcrYI6OzvR2tqquhdDu7u70dDQAJ1Oh/DwcFX2a6Cr5+SIWnoVFxeHxsZGm7HGxkbcfvvtAKDafjmblyNq6Zkj3itWrFgtdxGeZMSIEdBqtTaPd999F2PGjMETTzwBjUaDvr4+lJWVISIiAn19fcjLy4PZbMarr76q2HO1zuZ18eJFFBQUwN/fH5cvX8bJkyeRmZmJvr4+FBcXK3ZeAJCfnw8fHx9cuXIFjY2NyMnJgclkQllZGQIDA1XZr6Hm5O3trdpehYWFYePGjfDy8kJoaCgOHz6MwsJCLFu2DAaDQbW/X87mdeHCBdX2zBG+xiODrKwsdHV1IScnBxaLBQaDAXv27FHsewxc4e3tjVOnTmHXrl04d+4cdDodHnjgAWzfvl3x8zpz5gwWLlyIzs5OhISEICYmBgcOHMCYMWMAqLNfQ82pq6tLtb2aPHkydu7ciYKCAhQXFyMsLAwrV67EwoULrV+jxn45m5eaf78c4X48REQkKb7GQ0REkmLwEBGRpBg8REQkKQYPERFJisFDRESSYvAQEZGkGDxERCQpBg8REUmKwUNERJJi8BDdoIsXL2LKlClITEzEpUuXrOMHDx7Erbfeiq1bt8pYHZHyMHiIbtCoUaNQWVmJ+vp6rFu3DgDQ3t6OxYsXY8aMGVi0aJHMFRIpC+/VRuQmFRUVyM/Px3vvvYfy8nKcOnUKR48eRXBwsNylESkKg4fITQRBwPz583HkyBH09vZi7969SEhIkLssIsXhqTYiN9FoNEhNTUVPTw/uu+8+hg7RIBg8RG5iNpuRm5uLCRMmoL6+HkajUe6SiBSJwUPkBoIgICMjAz4+Pti7dy8yMjKwevVq1NfXy10akeLwNR4iNygvL8eqVavw/vvvIz4+Hr29vUhKSkJvby9qamrg5+cnd4lEisEVD9EN+uqrr7B27VosX74c8fHxAAAfHx9s27YNp0+fRl5enswVEikLVzxERCQprniIiEhSDB4iIpIUg4eIiCTF4CEiIkkxeIiISFIMHiIikhSDh4iIJMXgISIiSTF4iIhIUv8HF3eRyHPPlR0AAAAASUVORK5CYII=\n", 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f7du3q258pvypmlk9e/bk0qVLrFy5kpo1a9KyZUtKly5NeHg4Dx484MSJEzRv3pwNGzYAybXjAwcO0LhxY8qWLYulpSX//vsve/fuxczMjCFDhgDJd/5bt26Ni4sLNWvWpFSpUrx8+ZIDBw5w+/ZtOnbsSIUKFdKNbdiwYfz111/89ddfNGzYkDZt2hAfH8/OnTt5/PgxHh4eGkMrtWHt2rVp/sNu3769xhOdOZGd70VahgwZwv79+2nXrh1dunTBysqKCxcucOrUKTp37sz27dtzHG+ZMmWYPn06U6ZMwc3Nja5du2Jra8v+/fsJCwujWrVqqfaa89KYMWMYM2YMLVq0oEuXLpiYmHDy5ElCQ0OpV6+exl/DNWrU4JtvvmHMmDHUrVuXli1b8u677xIfH8+jR484deoUpqam/PPPP5mO4fHjx6p/G28zNTXlm2++ydE1vu27777jwYMHTJ8+nbVr11K/fn0cHBx48uQJAQEBnD9/nsWLF1O+fPksn1sSfRoGDBjAsmXL2LZtG6NHj1b9uZvyxKKvry+HDx/m4MGDmJqaUrx4cVq1akXnzp3VzlO5cmX27dvHrFmzOHLkCMeOHaNatWqsW7eOW7du4e/vn60HVObPn4+7uzurV6/m2LFjhIaGYm1tTcmSJfn888/Vhq0NGDAAW1tb/v77b86cOUN8fDwlSpTAw8OD4cOHq0bflC5dmsmTJ3P06FGOHz9OSEgI1tbWlC9fnlGjRmk8mZsaExMTtm7dip+fH1u2bOH777/HwMCAKlWqMHHiRFWPX9tOnTqV5p/xpUuXztVED1n/XqSlVatWbNq0iYULF/L7779jYGBA7dq12blzJ/fu3cuVRA8wfPhwihcvznfffcemTZsoWrQoLVu2ZObMmRpDgXWhf//+GBoa4ufnx4YNG7CysqJ169ZMnz6dr776KtVj+vTpw/vvv4+vry/Hjh3jwIEDmJmZUaJECdq3b5/lDkZ4eHia811ZWFjkeqK3sbFh7969/PDDD2zdupUdO3YQExODo6MjZcuWZdasWbRt2zZb51aEhYVp5/lykaGBAwfyyy+/sHXrVlq0aKHrcIQQBZTU6LVMqVTy9OlTjfbDhw+zdetW7O3tUx3PLIQQuUVKN1qWmJhItWrVcHNzw8XFBSMjI27cuMHBgwcxMDDg66+/zpfDwYQQ+YeUbrRMqVQyadIkjh07xqNHj1Sz3dWtW5eRI0dSv359XYcohCjgJNELIUQBJzV6IYQo4CTRCyFEASeJXgghCjhJ9HlMF/Oq5wW5rvxFrit/yel1SaIXQogCThK9EEIUcJLohRCigJNEL4QQBZwkeiGEKOAk0QshRAEniV4IIQo4SfRCCFHASaIXQggdOnXhOs+ea67pnJsk0QshhI5s+eMwnQZMx3OkD9ExsVp7HUn0QgiRx5RKJQtW/sKgSYuJi0/g3JUABk1aTFJSklZeTxK9EELkofj4BIZP98V7qfrC4zv3n+LImStaeU1ZSlAIIfJIWMRLPhu7gMOnL6u1mxgb4TtrOM3qv6eV15VEL4QQeeDB42B6DPPm+u2Hau02VkVZ/+0EGn1QTWuvLYleCCG07MK1f/EYMYegEPXRNWWdnfCbPZJNOw+xfMMf2Flb4jXME8diNrn6+lKjF0IILfI/eIb2/aZqJPk6NSry17q5bNp5iMfBL4iLS+Bx8AvmLNuYxpmyT3r0QgihJSs2/MHEeWtQKpVq7Z1a1WfFnFGYmRbhRXgkBgoFAAYKBc/DInM9Dkn0QgiRyxITE5ny9U/4rdulsW1k3y7MGN0LA4PkgoqdtSWPg19goFCQpFRiZ22Z6/FI6UYIIXLRy1cx9B6zQCPJGxgYsGjKF8wa00eV5AFGDepIcOnzGJkoKOloh9cwz1yPSXr0QgiRS4JCQvEYMYcL126rtVuYmfLDwrG4N6mt1h7wIoBe+3pxs8hN3LpW5X9NJmklLkn0QgiRC27cfkj3YbN5+PiZWnsJRzs2LZnMe1XKq7X73/Zn8N7BRMRFUNmuMp9V/0xrsUmiF0KIHDp8+gq9x8wjIvKVWnu1imXYstSLUsWLqdqSlEn4nPJhwekFAHR26Yxva1+KmhTVWnyS6IUQIgc2bD/IyJnLSEhIVGtv2bAmPywch1VRc1VbWEwYg/YM4s97f2KgMGB6o+mMrD0SxX+jbrRFEr0QIl8KCgllju8mXoRHqh40yktKpRKfZZuZv2KLxra+3VqzYNJAjI1fp9hrIdfotbMXd8PvYmdqx5oP19CsdLM8iVVG3Qgh8qU5vpu0/qBRWmLj4hns9V2qSX7m6N58M3WwWpL/7eZvtN7Umrvhd6nhUIODngfzLMmD9OiFEPlUXjxolJqwiCh6jp7H8XPX1NqLmBiz3HskXds0UrUlJCUw/dh0fM/7AuBRxYNvWn6DmZFZnsSaQhK9ECJfyosHjd5279FTug/1JuBeoHosNpZs/G4S9WpWVrWFvAqhn38/jj46ipGBET5NfRhQY4DW6/GpkdKNECJf8hrmSSknO0xMjLT2oNGbzl2+RaueEzWS/LtlSvDXurlqSf780/M029iMo4+O4mTuxM6PdzLwvYE6SfIgPXohRD7lWMyGb6cNUWsLD32Wxt45s33fSb6YvJiY2Di19gbvV2H94onY2bz+a2LttbWMOzCO2MRY6paoy0/tf6JE0RJaiSuzJNELIUQalEolvmt3MvXrnzQmJvu4bWN8/zcc0yImAMQmxDLx8ER+uPIDAJ/X+Byfpj6YGJrkedxvk0QvhBCpSEhIZOK81Xy/eY/GtrEDPsZruKdqzprHUY/5bNdnnH16liKGRfi6xdf0qtYrr0NOU57X6I8fP46HhwdVqlTBxsaG9evXq7bFx8czffp0GjZsSMmSJalUqRIDBgzg4UP1FVliY2MZP3485cuXp2TJknh4eBAYGPj2SwkhRLZEvYqm5+i5Gkne0NCA72YMZerInqokfyLwBM02NOPs07M4Wzqz55M9epXkQQeJ/uXLl1StWpW5c+diZqY+xOjVq1dcunSJcePGcfjwYTZs2EBgYCDdunUjISFBtd+kSZPYuXMnq1evxt/fn8jISHr06EFiYuLbLyeEEFnyJPgFH/adwt4jf6u1W1qY8YvvFPp81ApILuusuLiCTr91IvhVMG7vuHHI8xDvO72vi7DTleelG3d3d9zd3QEYOnSo2jZra2u2bdum1vbNN99Qv359bt68SbVq1QgPD2ft2rX4+vrSvHlzAFasWIGrqyuHDh2iZcuWeXMhQogC59qt+3wybDaBQc/V2p2LF2PzUi+qVSwDwKv4V3x54Es2X98MwIjaI5jeaDpGBvpZDdf74ZWRkckPQdjYJK+hePHiReLj42nRooVqH2dnZypVqsTp06d1EqMQIv87cOIibT+brJHka1Qux751c1VJ/n74fdpsacPm65sxNzJnTbs1/K/J//Q2yYOe34yNi4tjypQptG3bllKlSgEQHByMoaEh9vb2avs6ODgQHByc5rkCAgK0GmtW6FMsuUmuK3+R63pt219nmLvidxKTktTaG9eujPeXnxIV/pyA8OecfnYarwtehMeH42zuzIIPFlDBoEKevJdpvYaLi0uGx+ptok9ISGDQoEGEh4ezcWPGc1golcp0H0bIzJuRFwICAvQmltwk15W/yHUlS0pKYvaSDSxavVVj20CPdvh81R8jI0OUSiWLzy1m1tlZJCmTcC/rzsq2K7ExtcnN8NOU089LLxN9QkICn3/+Of/88w+7du3Czs5Otc3R0ZHExESeP39OsWKv53gOCQmhYcOGughXCJEPxcTGMXTqErbuOa7WrlAomD2uL0N7dUChUBAZF8mwP4ex498dAEyoN4EJ9SdgoND7yreK3iX6+Ph4+vfvz/Xr19m1axdOTk5q22vWrImxsTEHDx6ke/fuAAQGBnLz5k3q1auni5CFEPnM89AIeo6ey6kLN9TazUxNWOkzmo4t6wPwb+i/9NrZixsvbmBlYsWKtitoV76dLkLOkTxP9FFRUdy5cwdI/rPp0aNHXL58GVtbW0qUKMFnn33GhQsX2LhxIwqFgqCgIACsrKwwMzPD2tqa3r17M23aNBwcHLC1tcXLy4tq1arRrFmzvL4cIfKlkNAIls70U5vL3bFY3pQhdOHNueuNDAw4f+1f7geq39MrZmvFpiWT+aBGRUBzqb91HddRwbaCLsLPsTxP9BcuXKBjx46q//bx8cHHxwdPT08mTpyIv78/gEbS9vX1pWfPngDMmTMHQ0ND+vXrR0xMDG5ubixfvhxDQ8M8uw4h8rMVm/bxMjYRA4VCNZf72/PG6EpqC4rk9EcoZe768IgoLlz7l/i3VoOqWK4UW3y9KOtcPNWl/pa2XoqlifZnx9SWPE/0TZo0ISwsLM3t6W1LYWpqyoIFC1iwYEFuhiZEoREe+QqTIqZA3s7lnhkpSTk3f4RehEcS9CyUqzfvkvTWnDWN61Rn3TdfYWNVVGdL/Wmb3tXohRDaZ21prurR59Vc7pmV2wuKKJVKAp+GcPnGHY1tPTo0ZcnMoZgYG6st9WdrasuadmtoXqZ5jl5bX+Sf28ZCiFwz2NM9T+dyzwo7a0tVrzunP0Lx8QmMnrWc81f/1dg2YfAnLPceiYmxscZSf4c8DxWYJA/SoxeiULK3sdSbmvzbvIZ5MmfZRp6H5WzR74ioV/Qbt5D9Jy6qtRsbGbF4+hA+7dychKQEZhydwdLzSwHdLfWnbZLohRB6JbUFRbLq0dMQPhnmzT8B99XarSzNWbtoAk3ruWos9TfHbY5OV4HSJkn0QogMaWMkjLZcun4HjxFzeBL8Qq39nZIO/OI7hcrvvsP5p+fp80cfHkU+wsnciR/b/0iDUg10FLH2SaIXQqhJLalrYySMNhz/+wZe32zkZXSMWnut6hXY+N0knIrZ6uVSf9omiV4IoSa1pJ7bI2G0YfXmPYyf+yNJSerDJ9u3qMsqny8xMlEwZv8Y1lxZA0B/1/7MbTZXL5b60zZJ9EIINakldTtrS1Xy17fhmElJSUz/Zi1LftqusW1Irw7MHvsZwdHB9Pmlj2qpv4UtFtK7Wm8dRKsbMrxSCKEmteGNXsM89XI4ZnRMLH3HLdRI8gYGBsyfNACfr/pz5ukZmm5oqrbUX2FK8iA9eiHEW1Ib3pgbI2Fy27PnYXw6ai5nL99Sazc3LcLq+WNo2/QDVl5cyeQjk0lISqCJcxN++PAHipkXS+OMBZckeiGEGn1M6m+7dfcR3Yd6cz8wSK3d3saS35ZPo1LFkgz+c3C+WepP2wrnVQsh8q1j567Ra/Q8wiKi1NqrvPsO88b1xLaUEW02t+Hys8uYG5mztPVSPqr0kY6i1Q9SoxdC5Btb/jhM10EzNZJ8s/o12PPzHB4obtF8Y3MuP7tMOety7PPYV+iTPEiPXgiRDyiVShau+hXvpZrLivbq2pJFXoNYdsmXWWdmkUTeL/Wn7yTRCyH0Wlx8PKNnLWfD9oMa26YM/5RBn7kzcN8Atgckj7z5qt5XTKw/MV8t9adtkuiFEHorLOIlfcbM58iZK2rtJsZGLPvfCGo2KIH7ZnfVUn/TakxjQIMBOopWf0miF0LopQePg/lkmDc3bj9Ua7exKsqGxRMJs7lHi409VUv9re2wFp7rKFg9J3/bCCH0zoVr/9Kq50SNJF/W2Ym9P3tzKG4bn+78lIi4CDq7dGafxz5c7Fx0FK3+kx69EEJvBIWEMtjrO46cvkJiUpLatjo1KrJ8wVAmnR6rWupvWsNpjPpgVKamFs5PM3DmNunRCyH0Ru8v53Pw5CWNJN+5dQPmzetBtz2d+fPen9ia2vJbl98YXWd0puePT5msLS4uQTVZW2EhPXohhM4lJibitfBHzly6qbFtVL8uuLYzp8Pv7XmV8IoaDjVY22EtZazLZOk18sMMnNoiiV4IoVMvX8UwcNK3+B88o7HNoZgVibVvMWBP8lJ/Par04NuW32ZrqT99noFT26R0I4TQmaCQUDp8PlUjySsUYOtUhIRW51l6filGBkbMbzaf5e7Ls72eq77OwJkXpEcvhNCJ6/8+4JPh3jx8/EytvYiJMRXrWBFQfg8xxpE4mjvyY/sfaViqoWr2K4CoAAAgAElEQVSf7NxYzQ+TtWmLJHohRI5lNfEePnWZ3mPnExH5Sq29UnlnLN8P47zVVpIUibxfrBYbuqzXWOovvyxtqC+kdCOEyLGsjGhZv/0AHw/9n0aSb9GoBnUGwznrHSQpEunv2p+9nntSXc+1MN9YzQ7p0QshciwziVepVDJn2SYWrPhFY1uPT+pzp8I+1t3I3FJ/hfnGanZIj14IkWOpLT/4pti4eL7w+i7VJP/5iPocclytWupvd/fdGS71V5hvrGaH9OiFEDmW2vKDKULDI+k5eh4n/v5H7RgTEyM+GfcuPwXPz/JSf4X5xmp2SKIXQuRYWon33qOndB/qTcC9QLV2O3sLag1KZN1TPwCG1xrOjMYzCu1Sf9om76oQQivOXrqJ50gfQkIj1NpLV7LE/MNb/BV0HXMjc5a0XsLHlT7WUZSFgyR6IUSu277vJF9MXkxMbJxaexW3ojytdoQH4aGUsy7Huo7rqFasmo6iLDzy/Gbs8ePH8fDwoEqVKtjY2LB+/Xq17Tt27OCjjz7i3XffxcbGhqNHj2qcIzY2lvHjx1O+fHlKliyJh4cHgYGBGvsJIfKWUqlkyU/b6Ttu4VtJXolrNwNuuuwiNDYU97LuHPQ8KEk+j+R5on/58iVVq1Zl7ty5mJlpPsr86tUr6tati7e3d5rnmDRpEjt37mT16tX4+/sTGRlJjx49SExM1GboQoh0JCQkMs57JVO//gnlfyNwADBKoGL/MK5Y/UWSMomv6n3Fps6bZD3XPJTnpRt3d3fc3d0BGDp0qMZ2Dw8PAJ4/T32pmPDwcNauXYuvry/NmzcHYMWKFbi6unLo0CFatmyppciFEGmJehVN//Ff8+fR82rthrYxOHzygFvxj7AysWJ5m+V8+O6HOoqy8Mp3NfqLFy8SHx9PixYtVG3Ozs5UqlSJ06dPS6IXIgNBIaF4+/1GIga5sgDH46Dn9Bgxhys37qq1m1WMQNH0Ok/jX1LJrhLrOqyTVaB0JN8l+uDgYAwNDbG3t1drd3BwIDg4OM3jAgICtB1apulTLLlJrit/8Pb7jWcvIlAoFLx4EcaEOcuZPCR7o14C7j1h9JwfCH4e/karEotGT3hZ6QYkQoviLZj23jR4DgHPtf9eFrTPK0Va1+XikvGPZ75L9GlRKpXprjSTmTcjLwQEBOhNLLlJriv/SMQAhUKBhYUFAAkYZOsa9x+/wBfTVhD5Mvp1o0k8lu3vEWn7MMtL/eWGgvh5Qc6vK99NgeDo6EhiYqJGDT8kJAQHBwcdRSVE/mFnbam6WZrdeWJ++nUfnwz3Vk/ytlGYfXKFSNuH2VrqT2hPvkv0NWvWxNjYmIMHD6raAgMDuXnzJvXq1dNhZELkD17DPHG0s8rWPDFJSUnMXLyOUbP8SEx8Y13XckEYdblAtEkYNRxqcMjzEM3LNNdC9CI78rx0ExUVxZ07d4DkL82jR4+4fPkytra2vPPOO4SGhvLw4UPCw5Nrfnfv3sXa2honJyecnJywtramd+/eTJs2DQcHB2xtbfHy8qJatWo0a9Ysry9HiHzHsZgNk4d8nOVSQExsHEOnLmHrnuOvGxVJUOcOVH9AAjlb6k9oT5736C9cuICbmxtubm5ER0fj4+ODm5sbc+bMAcDf3x83Nzc6duwIwMiRI3Fzc2PNmjWqc8yZM4cOHTrQr18/2rZti4WFBZs2bcLQ0DCvL0eIQuF5aARdBs1QT/KmcRi0uwzVH2BkYMS8ZvNytNSf0B5FWFiYMuPdRG6Rm0X5S369roxWfMrKdd2+/5juw7y58+DJ60b7CAxaXyPJPDrVpf50Jb9+XhkpdDdjhRAZy8qKT+k5ef46rXtPUk/yLo9RdDhPknk0dYrX4dCnh/QiyYu0FZjhlUKI13Jjqb2te44x2Os74uITkhsMkqBeAFQJRAn0d+2PT1MfihgVycXIhTZIoheiAMrJUntKpZJv1/zOzMXrXjeaxUKLK+AUkaml/oR+kUQvRD6SUe09RXorPqUnPj6Bsd4r+XnrX68bncKg+VUwj6NU0VKs7bCWWsVr5dYliTwgiV6IfCSl9m6gUKhq76mt7JSdpfYiol7Rd9xCDpy4+F+LEqoEJpdrDJQ0dm7MDx/+gIO5PJiY30iiF0IPZLannhu199Q8ehrCJ8O8+SfgfnKDYSI0vAkuTwFZ6i+/k1E3QuiBzI6SsbO2JCmH0xe87eI/t2nVc8LrJG8RDe3Pg8tTTA3NWN1uNbPdZkuSz8fkkxOFQmZ7zLqS2Z56VmvvGV333iPn6D9+ES+jY5IbSr6AZtfANJ53ipZmadPlbN1wiW3h8zWO1/f3VLwmPXpRKOTWuHJtyWxPPaX2vnbRVyyePiTDxJredX+/aTeeI+f+l+SV4Hof3C+CaTwt3mnJ0V5H2LrhUprH6/t7Kl6THr0oFLRV284t2R0lk5EX4ZHExcVz+/5j4uITuHnnIU+DX/DtT7tYv+O/9ZiNEqDJDSiXvJ7DuDrjmNxwMgYKg3TfN31/T8VrkuhFoZCTceV5ITujZDLDztqS81cDiI2NB4WC+PgE2nw2mfuB/y3SY/UKWl4B25eYKsxY02G12lJ/6b1v+v6eitekdCMKBa9hnpRyssvW1Lz5mdcwTwwNDTA0NMDY0JCXr2JeJ/l3QqDTWbB9SSnT0hztfURjPdf03rfC+p7mR9KjF4WCtnrM+s6xmA3N69ck4N5jLlwLIDomDlDC+3fh/XsAuDm2ZH23H7E00eyRp/e+Fdb3ND+SHr0QBVzrxrU4d/lmcpI3iYdWl5OTvFLB6Brj2O75a6pJXhQc0qMXogDbvOsww6f5Ep+QADZR0OoKWEVjmFCEnzr8SIfK7XQdosgDkuiFKICUSiULVv7CHN9NyQ3lgqDxdTBOwjahBN8396Vl5RZajUHG2esPSfSi0CqoiSguPp7Rs5azYfvB5KX+PrgDrg8AsHvmwpXph3h8/7HW48jsvDxC+6RGLwqtgvjAT1jES7oNmZ2c5E3joM2l5CSfpKDknfo0jO6GhYlFnsQi4+z1h/ToRaH1diIKDHrOqJl+aj38/OR+YDA9hntz4/ZDsI9IHh9fNBaiTajyoB3OBhWxt7fKs3hknL3+kB69KLTennbg3qOgfNvDP381gNa9JiYn+QpPkiclKxqLSZg9bcMGU8GsWpbGugeFhDJw0rfUaPcFNdoNZuDEbwkOCctSTDLOXn9Ij14UWm9PO6AAFPmw1PDHwTMMmLCI6LgYaJC81B+A47OqHBy9jVIOjlk+5xzfTZw4d43Y+ARQKjlx/lqWa+wyzl5/SKIXhdbbiWjUTL98V2rwW7eLyQt+QGkaA+2uglM4JCqwvlqL1u90xVhhkq3zvgiPJCExEQX8N3VCYr754ROapHQjxH90XWoICgll1Ew/eo+Zz6iZfumWShITE5kwdzWT5q9B6RgKnc8mJ/moIpQ425p65i0Ifh6e7fKTnbUlRoaGKEkeqmlsbJgvfvhE6qRHL8R/Uis1hIc+y7PXz+xwxJevYhgw8Rt2HzqjttQfT2yp+qgd7xRzBkAB2e6Few3zJCY2lpMXrgMK6r1XWWrs+ZgkeiH0RGaGIwaFhNJj+Bwu3rwFTV4v9Wd8oxzreq7E/8C5XCk/ORazYcWc0dm/GKFXJNELkUcyekAro+GI1/99QPdhs3kU8RDaX4VikRBvgO2VOuzwWo5rpXK8X8VFK/Pai/xNEr0QeSSj0kx6i48cPnWZ3mPmE2H1CDonL/VHhCkVbrdl+/yFlCpeDJCRLiJ1kuhFvpQfpy/IqDSTWpIOCgml//hFHD9/Dardhw9uJw+heGhP0xgP1i2bgqWFWV5dglpcUxb+xOlLNwAl9WtWYfbYvnr/GRRWMupG5Ev5cfqCzK4Lm0KpVNJ96GyOX7oEza5C3f+S/IWy9LUZx2+LZ+kkycN/4+zPX+PVqxheRcdx/O9r+eIzKKwk0Yt8KT/Oo5KV4ZuxcfF8MXkxlx9fg45/J6/nGmcIf7kyq9kMvpkyGCMjwzyMXt2L8Eji4xNRKBQogIQEGWevz6R0I/Kl/DiPSmbr56HhkfQcPY8TwUeg0zUwSYRQcxQHa+BWqT4j+3XJg2jTZ2dtibGxoWotWiNDGWevz/K8R3/8+HE8PDyoUqUKNjY2rF+/Xm27UqnEx8eHypUrU7x4cdq3b8/169fV9omNjWX8+PGUL1+ekiVL4uHhQWBgYF5ehtCx3Hi4Ka0HlN5s9/b7LdUHl7LycFNW3H34lNa9J3EiaRe0vpyc5O86YLynPm1rNmWVj34MefQa5kmj2tUwNzfF3MyERh9UkxE+eizPe/QvX76katWqeHp6MnjwYI3tixcvxtfXF19fX1xcXJg/fz5du3bl7NmzWFom9xgmTZqEv78/q1evxtbWFi8vL3r06MHhw4cxNNTdn7Mi7+TG6JK0RsG82R4VFZXqg0vamGv97KWbfDJ2JqE1TkPp55AEnC/Pu+EN+PXXqZR7p3iOzp+bHIvZsFJPfnRExvI80bu7u+Pu7g7A0KFD1bYplUr8/PwYPXo0nTt3BsDPzw8XFxd+/fVX+vXrR3h4OGvXrsXX15fmzZsDsGLFClxdXTl06BAtW7bM2wsS+VZadf432xVp1P9z+x7B9n0nGThvNnFNzoN1NMQYwaFqNCjehPVrJ2Bno14WyY+jjoTu6NXN2Pv37xMUFESLFq+XODMzM6Nhw4acPn0agIsXLxIfH6+2j7OzM5UqVVLtI0RmpDUK5s12ZRr1/6yOoEmLUqlkyY/b+GzpeOLanEpO8s+Lwo46dK/ZhW0rp2skecifo46E7ujVzdigoCAAHBwc1NodHBx48uQJAMHBwRgaGmJvb6+xT3BwcJrnDggIyOVos0+fYslN+e26PD+sx4qNfxIW+QprS3M8P6xHQECAWruDnZWqPTPHZkVCYiLzV2/j9xcboHnyUn/86wTHK9O/a2sGe7jz4P69VI998OgJ8QmJqv++/zA2y6+f3z6vzCps1+Xi4pLhsXqV6FOkzAmeQqlUarS9LaN9MvNm5IWAgAC9iSU35cfrcgHq16mVbnta15XWsZkV+TKa3hP/xyGzjeAaCkkKOF0Bw4AyfDttCL27pl+CLO1cQm3UUUlHuyy9//nx88oMua7U6VXpxsnJCUCjZx4SEqLq5Ts6OpKYmMjz58/T3EcIffY46DnNhw/mkNNqKBkKr0xgd02sHlbit2VTM0zyoPsplUX+olc9+jJlyuDk5MTBgwepVSu5txQTE8PJkyeZNWsWADVr1sTY2JiDBw/SvXt3AAIDA7l58yb16tXTWexCZMbh05fp/s0w4j64BkZJEGwFB1xxti7Flp+8qOpSJlPnkTltRFbkeaKPiorizp07ACQlJfHo0SMuX76Mra0t77zzDkOGDOHrr7/GxcWFChUqsHDhQiwsLOjWrRsA1tbW9O7dm2nTpuHg4KAaXlmtWjWaNWuW15cjRKbtOXoGz/X9UdZ/lNxwoyScqsh7lSqweelkijvY6TZAUWDleaK/cOECHTt2VP23j48PPj4+eHp64ufnx6hRo4iOjmb8+PGEhYVRu3Zttm7dqhpDDzBnzhwMDQ3p168fMTExuLm5sXz5chlDL/RSUEgon06Yyd+Ov0Pl5KX+OFEJAkriVMyWP374H0XNdTNnjSgcFGFhYUpdB1GYyM2i/CWn15WUlETtz3tz12UfmMdBVBE44AohVrxT0oFm9d9jyYyhGZ8ol8nnlb/k9Lr0qkYvRE7k5UNEmXmt6JhY2s79jLuue/9b6s8GDlaHGBOqVSzDB64V5SaqyBOS6EWBkVvTEryZxA1JYv7kwRpJPKPXCnwWTNPvOhJifzO54eo7cPZdDBSGNK1fg99XTs/RtQqRFXo1vFKInMitaQnefOr02YuIVJ86Te+1jl0/y/t+9ZOTfIIBHKoKZ1wwMS5Cu6Z1WDFnVLbiEiK7pEcvCozcmro4M3PdpPVay/b/hNe58Sit4iDCFPbXgNCiVCrvzBbfKZQp5Zj9CxQim6RHLwqMQR7tuPfoKZev3+Heo6d84flhts6TMo9NTGwcAfcec+n6bY2piN9+YGnyUA8Grv+SyZdGoSwSBw/tYUcdCC1KkzrV2fvzHEnyQmekRy8KjJWbdlPWubiql71yk3+2avQpi3QfOHkJJfDuOyU16vBvPrAUGRtJm1Vd+SfhXHLX6WJZuFAOlAo8OjbjuxlDMDE2TvP1ZCZKoW3SoxcFRm7V6FOS+HtVylOxbElMTIzTPN+NZzepvrR2cpL/b6k/zpcHpYJJQz3wmz0i3SQPMhOl0D5J9KLAyK2pg988nzKd8229to1GPzch3DAYQs1hxwfwwAFjIyOWe49kwuBPMpyMD/Ln+rcif5FELwqMrE70ldFygF7DPHG0s9I4X5IyiUn7ptJ/X18SDePgngPs/AAiLLC2tGDriml4dGyW6bhz+wdKiLdJjV4UGFmd6CujsfCOxWyYPORjtScSw2LC8Py1NydDjqqW+uNyGUBB6ZKO/LJsCpXKO2cp7pR7As/DXtfohchNkuhFoZXVksk/If/w0S/deRobqFrqj8fJC+DUru7CxiWTcLTP+k1UmYlSaJuUbkShlZWSye+3fqfZ+ubJSf6/pf5SknyHlvXYuXpWtpK8EHlBEr0otDJT009ISmDqkan08+9HnDI2eam/XbUhKnm2yWF9OvLTwnGYmxXJ6/CFyLRMl27atGlDv3796Nq1K0WKyJda5H8ZlUyeRz9n+OkR/P3inGqpP647AwoMDAyYN/FzOrWqz5jZK2UMvNBrme7RGxkZMWTIECpXrszkyZO5deuWNuMSQqcuBl2kyTq35CQfbQy7a8L1dwAFFmambFg8kYEe7WQMvMgXMp3o//jjD86cOYOnpyebNm2ifv36tG/fnq1btxIfH6/NGIXIUxv+2YD7ZncevwxMXupve10IsgXA0d6aP374H22bfgDIGHiRP2SpRu/i4sKcOXO4fv06y5YtIykpiQEDBlC1alVmzJjBvXv3tBSmENoXlxjHuAPjGPrnUOKS4pKX+vOvBa+SS5VFzU1pWq8GNau+qzpGxsCL/CBbwyuLFCmCh4cHlStXxsvLixMnTrB48WKWLFlChw4dmD9/Pk5OTrkdqxC56s05ZkxtlNx+dx/nn51TW+ovhb2NFe9VLU9MnPpfrzIGXuQHWU700dHR/Prrr/zwww9cvHiRihUrMnfuXLp06cKePXuYO3cuAwcOZMeOHdqIV4hck1JfDzcL5KL5duKevVRb6i9FqeLFqFqhNCgUGj12GQMv8oNMJ/pr167x448/smXLFl69esWHH37IjBkzcHNzU+3z2Wef4ejoSN++fbURqxC56nl4BI+sL3LDYT9KRZLaUn8p+n7UHKXCkBfhUdJjF/lWphN948aNKVGiBEOGDKFv374UL1481f3Kly9PnTp1ci1AIbQhOiGa68X/5LbJ38kN/y31hzL5tpWJsRF+s0dSo4JTgVxsWhQumU70P/74Ix06dMDQ0DDd/SpVqsSuXbtyHJgQuenNeryJTQI3y+7mtsmV5KX+jlWGO687LrbWRdmweBINalUhICAg1XPImHmRn2Q60Xfu3FmbcYhCLC8SaEo9PtT8AZcsdhD/IhqDlxYk/VkNQouq9iv3TnF+XTaFd8uUTPMcOV18XIi8JpOaCZ3LiwT6PDyC+7ZnuGV/BBRKeGRP0qGqEPd6UZB6NSux/tuJFLOzVrWFhEawdKYfL8IjuXT9DuWci2NaxETGzIt8RRK90DltP3QUFRfF1eK7uGdyJbnhjaX+UnRt0xC/2SMxLWKiduyKTft4GZuIgUJBYkIi/94PpHrFctkaMy+lH6ErMqmZ0Lm0HjrKaGGQzLgdepvWm1tzz+QKBgnGakv9pRjdvyur543RSPIA4ZGvVD9CFcs5Y2hokOmFTd4m0yUIXZEevdC5tB46ymlJZ8+dPQzaM4iIuAgs4ux4udMFwi1U2w0NDVjk9QWfdWud5jmsLc1VPXojYyOa16/J4umpx5BRj12mSxC6IoleaEVWyhRvPnQUFBKKt+/GbNXEU17zeXgEDx3PcMl0PwDWz8sS/kdpSHj9dbe0MOPHheNo2ej9dM852NOdTbtPZ+rJ14x+mOysLVXbZboEkZck0QutyG5v/M3jMlMTf/MH5cbthzgWt+BW6X08M70NSrC65Ur48WLA61JNKSd7Nvt6Ub1i2QzjsbexzPRfERn12GW6BKErkuiFVmS3TPHmcRXLOXP74WNMTIzSTIxv/jCEKJ9wt/QpEiyiMEwogvJgNSIeqv8V4Vq5HJuXTKakk30Or1BTRj12mS5B6IokeqEV2S1TvHlcRjVxeP3D8NTiBmFuh1AaJWAaZUfM7koQaaa2b+vGtVizYCyWFmZpnE2z5OT5YT0y+1ys9NiFvpJRN0IrMrNMX3rHKZVJ3Hv0lMfBz9MdcWNjbc4Nu4NcKrEDpVECJg+cifnNVSPJ9+/eho3fTUo3yYPmyJgVG//M3AXzuse+dtFXLJ4+RIZOCr2hlz36yMhIvL292bVrFyEhIdSoUYO5c+dSq1YtAJRKJXPnzuWnn34iLCyM2rVrs3DhQqpUqaLjyEWK7JYpUo4bNdMPJYp0a/zPo5/zb6Xd3H96FoXSANub7/PihBVv1uMB/jemD8M/64xCod4Omj34J//9NQHJJaewyFdZvgYh9I1e9uhHjhzJgQMH8PPz48SJEzRv3pwuXbrw+PFjABYvXoyvry/z5s3jwIEDODg40LVrVyIjZbhaQZFRjf9i0EWabmjKyafHsTctRtV/O/PihDVvJnnTIib8tHAcI/p2STXJg2YP/u6jp2pj+q0tzTMVb26M+RdCW/Qu0UdHR7Njxw6mT59OkyZNKF++PJMmTaJcuXKsWbMGpVKJn58fo0ePpnPnzlStWhU/Pz+ioqL49ddfdR2+yCXprdy04Z8NtNnShkeRj3C1ew/Lv9y4djRc7fhitlbs/H4mnd0bpvs6b/+glHV2Uis5DfZ0z1S8aT0MJT8AQh/oXaJPSEggMTERU1NTtXYzMzNOnjzJ/fv3CQoKokWLFmrbGjZsyOnTp/M6XKElqdX44xLjGH9wPEP/HEpsYiztS3Yl8IfS3LulnjwrlCnJvnVzqfNepQxf5+0flJKO9mp1dnubzN1ETusvEHkaVugDvavRW1paUrduXVXN3cnJiV9//ZUzZ85Qvnx5goKCAHBwcFA7zsHBgSdPnqR53jenm9U1fYolN+X2dQ3zbKX6/7efXGfiHxO5FHoJYwNjOpn1ZNf8x8TGJagd836VciyY0IeEmEgCAjIu5Xl+WI8VG/8kLPIV1pbmeH5YT+M6MnNdhiQRFRWFQqFAqVTiYGdFQEAADx49IT4hUbXf/YexevP560scua2wXVdm1kvQu0QPsGLFCoYNG0bVqlUxNDTkvffeo1u3bly6dEm1z9s1V6VSmWYdFjL3ZuSFgIAAvYklO9J64lWb13X68Wn6HerH05dPKVm0JB2UA1i55JjGft0/bMLSWcMpYmKcyllS5wLUr1Mrze2Zva75kwdrDK10LGZDaecSasNMSzra6cXnn9+/h2mR60qd3pVuAMqVK4e/vz+BgYFcu3aNAwcOEB8fT5kyZVSLjgcHB6sdExISotHLF7kvL0sRSqWS7y99T4dfO/D05VMalmxE06efp5rkx3/RnZU+o7OU5HNLyrQNbyd5yP4wUyFyk1726FNYWFhgYWFBWFgY+/fvZ9asWapkf/DgQdVwy5iYGE6ePMmsWbN0HHHBl1cTc0UnRDP2wFg2/LMBgAHVB3F3a1E2Hjuutp+RkSHfThtMry4ttRJHZqQ33YM8DSv0gV4m+v3795OUlISLiwt3795l6tSpuLi40LNnTxQKBUOGDOHrr7/GxcWFChUqsHDhQiwsLOjWrZuuQy/w8mJirgcRD+izqw8Xgy9iZmTGzDpz+HnhFa7evKi2n1VRc9Yu+oqm9Wuo2nQx57vMSin0nV4m+oiICGbOnMnjx4+xtbWlU6dOTJkyBWPj5D/LR40aRXR0NOPHj1c9MLV161YsLWU2QG3T9mP+hx8epr9/f55HP6esdVmmV5+H16RfeBz8Qm0/C3NTNi6eRKM61dTaMzuZWm7+IMislELfKcLCwpS6DqIwkZtFqVMqlSw9v5Tpx6aTpEyiVZlW9LQdzoiJK4l6FaO2r1VRc2pWq0D5d5w0knjvMfOJe2MkjomJEWsXfaXxeqNm+qkl51JOdqn+IGTmuoJDwlK9EavP5HuYv+T0uvSyRy8Kl6i4KEbsG8HvAb8DMK7uOEoGfsCAL5eSmJiktq+DnTU1qpTHyNAw1RJJer3rN3vxubn+q9Thhb7Ty1E3ovC4E3YH983u/B7wO5Ymlqxtv5b406UZ87+VGkm+yrvv8F7VdzEyNEyzRJLeKJc3RwylzHUPmk/e6oo8RSu0RXr0Qmf23t3LwN0DiYiLoKJtRb53X8Oir/ew7c8TavspFArmjO/Hx20bZ3h/IL3edVbnus9rOV06UYi0SKIXeS5JmcT80/OZe2ouAB0rdOR/deYyaNxSzly6qbavmakJ388bQ/vmdQFylPiyOtd9XpPRO0JbpHQj8lRYTBieOzyZe2ouChRMaziNadXm0rW/t0aSd7S34Y81/1Ml+ZzS94eX0pvITYickEQv8sz159dpuakle+/uxaaIDb91/Y0GRu1w7zOJuw+fqu1bqbwz+9bNpVb13BtBoUSJUo/HmOn7D5HIv6R0I/LEtlvbGLZvGC/jX1K9WHXWdVzHueMPGTp1OnHx6hOTudV15edFX2FjZZGrMWRUA09tbH1ektE7QlukRy+0KiEpgelHp9PXvy8v41/ySeVP2PvJXn7bco4BE7/RSPKenZrzq9+UXE/ykHENXKYUFgWV9OiF1jyPfk5///4cfngYQ4Uh3m7e9EScnnoAAB2+SURBVK/2OWO9V7L29/0a+08e5sH4Qd3TnYU0JzJ6glVuhoqCSnr0QisuBl+k2YZmHH54GAdzB3Z8vAPPCr3pMWKORpI3NjJixZxRfPXFJ1pL8pBxDVxuhoqCSnr0Itdt+GcDY/aPISYxhg+Kf8BP7X8iKcqEdp958c+/D9T2tbEqyrpvJ9D4g2ppnC33ZFQDT20en/DQZ1qPSwhtk0Qvck1cYhxeR7xYdWkVAH2r92Ves3lcv/WIHsOnEvTWk55lSjnxyzIvKpZz1kW4GlL7IZBELwoCSfQiV4TEhDDitxGcenwKE0MTFjZfSJ/qfdhz+Byff7WIl9HqE5N94OrCxu8m4WCv35N/CVEQSKIXOXb68Wl6H+tNSGwIpYqW4ucOP1O7eG1WbdrNhLmrSUpSn7OmY8v6rJgzCnOzIjqKWIjCRRK9yDalUsnqy6uZdHgS8UnxNCrViB/b/4hdETsmL/iBZWt3ahwzvE8nZo3pg4GBjAMQIq9IohfZEpMQw5gDY1RL/X1a7lMWd1hMfFwSn41byK79p9X2NzAwYP7Ezxng0U4X4QpRqEmiF+lK7WnRWJNIeu/qrVrq77tW31HTsCahYS/xHOHD31cD1M5hYWbKmgVjaOP2gY6uQojCTRK9SNfb0waMWDGbc8V+53n0c8pYlWFdx3W4Orjy58FjjBvxNQ8eB6sdX9zBls1LvXivSnkdXYEQQhK9UEmt957ytKgSJfdtz3LL/DBEK2lVphWr2q3C1tSWo2ev8vlkPyJfRqudr6pLGbb4euFcvJiOrkgIAfJkrHhDanO92FlbEkcsl512cKvYIVAoGVd3HJs7b8bW1JZNOw/x0RezNJJ8i4Y12fOTtyR5IfSA9OiFSmpzvYwc4U73rT0IMwzCWFmEb5t9R8/3e6BUKpnrt5m5fps1ztPno1Z87TUIY2P5egmhD+RfolB5e9KvV/aBfLy7ExGGyUv9reu4jop2FYmLj2fkDD827TykcY7po3oxun9Xrc5ZI4TIGkn0QiVlrpeQsAgeOZ7lkul+lHFKOlboyDL3ZViaWBIWEUXvL+dz9OxVtWNNjI1Y7j2Sj9o21lH0uePt+xSeH9Yj95Y+EUI3pEYvVByL2TBzwqckNLvARdO/AJjWcBo/t/8ZSxNL7gcG06bPZI0kb2djybIZA/N9kgfN+xQrNv6p65CEyDHp0QuV68+v02tnL26H3camiA2r262mZdmWAPx9JQCPEXN49iJc7ZjypUvwi68XSXEvs/WaqY30cSymu/lv3r5PERb5SmexCJFbpEcvgOSl/lptasXtsNtUL1adQ58eUiX5XQdO0+HzqRpJvv77ldm31od3y5TM9uvq26pOb89Jb21prtN4hMgNkugLudSW+vuzx5+UtS6LUqlk2dqd9P5yPtExcWrHfdS2EdtWzsDe1ipHr69vqzq9vTjJYE93ncYjRG6Q0k0h9jz6OZ/v/pxDDw6plvr7ouYXKBQKEhMTmTh/Das27tY47svPP2LqiE9zZWKyjJb3y2tvz0kfEBCQzt5C5A+S6Aupi8EX6b2zNw8jH+Jg7sCPH/5II+dGAES9iubzr75h75FzascYGhqwyOsLPuvWOtfiSG1VJyFE7pJEXwht/GcjX+7/Um2pv1KWpQB4+uwFPYbP4dL1O2rHWFqY8ePCcbRs9H6uxpLR8n5CiJyTRF+IpLXUXxGj5AVA/gm4zyfDvHn0NETtuFJO9mz29aJ6xbJ5HbIQIhdIoi8knr58Sr8/+nHy8Um1pf5SHDp1iT5jFhARpT6c0LVyObYs9aKEo53WYsvNIZb6NlxTCH2gd6NuEhMTmT17NjVq1MDJyYkaNWowe/ZsEhISVPsolUp8fHyoXLkyxYsXp3379ly/fl2HUeu3049P02xDM04+PknJoiXx7+avluTX/r6fbkNnayR59ya18P9hdqaTfFBIKKNm+tF7zHxGzfQj+K3FwP/f3r2HRVXtfQD/DoMgKoYiDRqJHhlD8Q4GkSc9iIqZkpc0S+FYWuDliBdMRLO8QYAhGc5JMV+8pBkv2cV8005YWKRkZZKaIII3HAUbCuTOfv/wMDIMlxFmmD3D9/M8PA+s2Xvmt1z6c7H23r/VEH3eYim22zWJxEB0M/otW7YgISEBCoUC/fv3x2+//Ybg4GBYWVlhxYoVAIC4uDjEx8cjPj4ecrkcUVFRmDx5MtLT02Fra9y7NsREEAS8/+v7WPnNSlRUV0BW2RsDLkzEnuvp6LnABQ72D2Hju/sRsyNJ69yXp4/DWyvnwtJSqtHe2Iy5bu36Tdv267T+3tJbLGvHdOZ8Nno7OaK9tZUobtckEgPRJfpTp07Bz88P48ff23LO2dkZ48ePx+nTpwHcS14KhQIhISHw9/cHACgUCsjlciQlJWHOnDlGi11MSitLsezrZdh3bh8AoF/Zk+hxxRMSiSVulNzB+q37UFJajqQjqRrnSSQSrFsagIUBk+otTNZYMm9uwm7pLZa1Y6qqrEJW7nUM6NtbFLdrEomB6JZuvLy8cOLECVy8eBEAcOHCBaSmpmLMmHu39OXm5kKpVMLHx0d9jo2NDby9vXHy5Ml637OtufrnVfgd9MO+c/tgY2mDHX474KIcCUvJvf/XKyurcDjllFaSb29thf+JWY5Fgf4NVp9sLJnXfapU1yRb9yGlB73FsnZMfXs7QSq1aPZ7EZkj0c3oQ0JCUFRUBE9PT0ilUlRWVmL58uWYO3cuAECpVAIAHBwcNM5zcHBAXl5eg+8rpgdfDBlLen46Vv28CqpyFXrY9EC0RzT6SvviMC6hqKgIpeUV+C3zCkrLKjTO69K5IzaHBaJ/r26NxidFNYqKiiCRSCAIAhy6dlYfP/NpT7y3/yhUf93FQ7YdMPNpT537umCmr/r7wj9uo/CP2zr3uW5Mw/r1Rnjw5Ga9V33E9HdHn9gv09JQv+Typuurii7RJycn48CBA0hISICrqyvOnj2LlStXomfPnggIuH8Bse6MUxCERmug6/KH0RoyMzMNEosgCHj3p3ex9tRaVAvVGO08GgnjE9ClfRcAQNSqIISsVyD9xM8or6jUOFfe6xF8tC0cvZwcm/ycqFVBWg84PdzNDpmZmfAaPgxew4ep18zj93/VKne+NBSTPhhqvIyN/TItLe2X6BL966+/joULF2Lq1KkAADc3N1y9ehWxsbEICAiATCYDANy6dQtOTk7q8/Lz87Vm+W1FcUUxFh1bhOSLyQCA5Y8vR5hXGKQW9y+kfv/TOfznu1+0kvyTHm7YG7sCXXRcZtHlAafmXpRtLj50RdQ40a3R3717F1Kp5p0eUqkU1dXVAO5dnJXJZEhJSVG/XlpairS0NHh6erZqrGKQrcrGmANjkHwxGbZWttjzzB6s9l6tTvKCICDu/Y/xz+UxKCvXXK6ZPuEpJP/7dZ2TvK7EVqiMqK0T3Yzez88PW7ZsgbOzM1xdXfHrr78iPj4ezz//PIB7SzbBwcHYvHkz5HI5XFxcEBMTg44dO2LatGmtFqcYHsz58vKXmHdkHv4s19zqr0ZlZRVCI3Zg10fam2eEvvocVs1/3iBb/omtUBlRWye6RB8VFYWNGzdi2bJlyM/Ph0wmQ2BgoPoeegBYvHgxSkpKEBoaCpVKBXd3dyQnJ7fqPfStvTxRW7VQjeiT0Yj8IRICBDzT5xlsG7sNna3vlwz+q7gEc5bH4KvvftY419JSiri1wXjR36fu2+oNC5URiYvoEr2trS0iIyMRGRnZ4DESiQRhYWEICwtrxcg0GWt5orCsEEFfBuFI9hFIIMHr3q8jZHgILCT3V+Gu38zHjEWbkPF7jsa5nW07YM/mFRjpNUjnz2vOby5cMycSF9Gt0ZuK5t4z3hLnC87DZ78PjmQfgZ21HZKeTcLSx5dqJPmzv1/GmFkrtZL8oz0ccHR3xAMleYAlBYjMARN9M7X0IZ8H9UnmJxpb/SX5fYJPEy9q1JU5lvoTxgeG48atOxrnDnXrg6/2RsK1z6MP/Lm8sEpk+kS3dGMqWmt5oqq6Cuu/X48tP24BADz32HOI841D2KZEjWsEgcujcerM76iqqtY4f/yo4UiIXIKOHdo36/N5YZXI9HFGL2IFJQWYemgqtvy4BVKJFBEjI7Ddbzs6tOugnmkLgoDMy9eR9tN5rSQf9OIE7I1d0ewkD7T+by5EpH+c0YtU3a3+dj29CyOcRqhf7/qQLa7m5eO3izlQ5v+hca5EIkHEipcQ9OKEFsfBC6tEpo+JXoRqb/U3uNsQyLP98N7b3yPR6kdIJEBJWTkkAM6cu4QC1Z8a53Zob42Et5bg6X88bpzgiUh0mOhFpO5Wf4EDAlH1nQuUt/6EhaQaP2XcK2rU26k7TmdkoqS0TOP8h+3t8OG7qzDUzaXVYyci8eIavUgoi5Xw/19/7DizA1ZSK8SNjkOcbxwKC0vUd71UVFThbkkZTv5yXivJ9+vzKL7aF8kkT0RaOKMXgVM3TiHgcABuFt9Ej049sHvCbnh09wCgeddLRWUl/igs0jr/qccHYvfbK2DXuWNrh05EJoAzeiOq2epvQtIE3Cy+Ce9HvHF85nF1kgfu3fXS4+EuyLmurDfJv+D/DyQpVjPJE1GDOKPXkb6LmNXd6i94aDDWjViHdtJ2Gsd1eagTqqoF/H7pqtZ7hC+cieXzphmkMBkRmQ/O6HWkz1IAV/+8ivEfjdfY6i9iZIRWki/8qxjPLdiAvR//R6Pdqp0ltkcsRugrzzHJE1GTOKPXkb5KAaTnp2PN12tQUFIA587O2DtxLwY6DNQ67mrebUyfvwHn68zk7Tp3wt4tr2GEh1uzPp+I2h7O6HXU0iJmgiBg6+mtWHhyIQpKCjDaeTSOv3C83iT/y7lL8H3xNa0k38tJhmN7IpjkieiBMNHrqCWlAIorivHykZexJnUNqlGN5Y8vx0H/g+r9XGs7cjwdT/9zNZT5Ko12j4FyHNsTAXnvR1rcFyJqW7h0o6PmlgLIVmVj1mezcK7gHGytbLFm4Bq84v1Kvcdu3/8FVr71vnrbxBqTfL3w3qbFsGlv3azYiahtY6I3oKOXj2Le/81DYVmheqs/SYH2xdOqqiqs3pwIxd7PtV5bFOiPN5fMhoUFf/kiouZhojeAaqEaMadiEJEWobXVX2ZBpsaxd0vKMC8sFoe/PqXRbmFhgeiwuXh5hl9rhk5EZoiJXs/qbvW3xnsNlgxforELVI1bBSo8v2gTfsrI0mjvaNMeu2KWYezf3VsrbCIyY0z0enSh4AJmfT4LWX9kwc7aDjvH78ToXqPrPfb37Gt4bv4GXLlxS6O9+8NdcWDrKgzu97fWCJmI2gAmej35JPMTzD86H8UVxRjQbQD2TtyLXg/1qvfYb0+dxewlUSj8q1ij3a2vMw6+G45HHLu1QsRE1FYw0bdQQ1v9dWjXod7jDx8/jY2KZFRUVmq0j/Yegl0xy9G5U/3nERE1FxN9C9wpuYOXjryE41eOQyqRYsNTGxA0JKjesgSCICBS8SHe+vdBrdcCp45BzKp5aNeOw0FE+sfM0kxNbfVXW3lFBRat3YYPP/9G67U3QmZh8ZzJrFlDRAbDRN8Mtbf6c5e5Y/czu/GIbf1PrKr+LMKsJVE4kZ6h0W5t1Q6KDYswxa/+/xyIiPSFiV4HNSWK8wtVuCT7Fhes0wDc2+ovalQUrC3rf2I155oS0xdswMXL1zXau9rZ4oO4lfAa2s/gsRMRMdHrYFP8AVwuuIJfu38GlfU1WAhSxPq+jcCBgQ2ec/psJp5ftAm37xRqtPfs3g2HdryJv/Xsrm7Td617IqLa+Fy9DrJKzuNkz91Q2VyDdWUneCtnNZrkP/vPD3jm5TVaSd5rqCt2RszXSPKAfmvdExHVxUTfiJqt/tJk+1BmWYwuJU7wvBKAPjauDR4fv+czBCyNRklpucZrU/1G4ND2N2Bnq73ln75q3RMR1YdLNw0orSzF8pTl2PvbXkAC9C97Er1vj0A3e7t6SxRXVlYhLOp97DhwROu1pS9PwepFLzRYmKz2BuDNqXVvSFxWIjJ9TPQNCPg8AEdzjsLG0gZxvnGY7jq9wWOL7pbg5RWx+PLbHzXapVILxK5+FQFTxzT6WeELZmLTtv0oUN1PpmJRs6xkIZGol5WaU66ZiIxHdIl+4MCBuHpVeyPssWPH4uDBg/cePIqMRGJiIlQqFdzd3RETE4N+/fR7B8sC9wW4pLqEXU/vwqCHBzV4XN6tO5ixcCN+vXBZo922ow0SN4fCx3tIk5/V3Fr3rYHLSkSmT3SJPiUlBVVVVeqfb968iVGjRuHZZ58FAMTFxSE+Ph7x8fGQy+WIiorC5MmTkZ6eDltb/S15jHx0JH6Y/YPWht21/XYxFzMWbsS1m/ka7U6O3fDhu+Fw6+ust3iMRczLSkSkG9FdjO3WrRtkMpn669ixY7C1tcWzzz4LQRCgUCgQEhICf39/9O/fHwqFAkVFRUhKStJ7LI0l+ZS0XzD+n+FaSX6Qa28c2xtpFkkeaNkWikQkDqKb0dcmCAL27NmDGTNmoEOHDsjJyYFSqYSPj4/6GBsbG3h7e+PkyZOYM2eOQeOpuTD5y7lL+PXCZQj/3Sy8xrin3LEzaik6dbAxaBytSczLSkSkG1En+pSUFOTm5mL27NkAAKVSCQBwcHDQOM7BwQF5eXmNvldmZmajr+tiw7YknM7IxjVlgdZr0/yewLKXJiLv+rUm30cfsYgR+2Va2C/T0lC/5HJ5k+eKOtEnJiZi2LBhGDRI82Jo3QJggiA0WRRMlz+MxpSWlSM9Ixs36iR5iUSC9csCsWD2RJ0Kk2VmZrY4FjFiv0wL+2VaWtov0a3R17h9+za++OILBAbefwJVJpMBAG7d0tyVKT8/X2uWr093VH9h8itvaiV5qYUFEjeHYmHAJFafJCLREm2i37dvH6ytrTFlyhR1m7OzM2QyGVJSUtRtpaWlSEtLg6enp0HiyL6ShzGzVyLt5/Ma7e2t2+HA1jBM8vUyyOcSEemLKJduBEHA7t27MWXKFI1bJiUSCYKDg7F582bI5XK4uLggJiYGHTt2xLRp0/Qex8lfLuCFxZEo+ONPjfa+vR/Bwfhw9HJy1PtnEhHpmygTfWpqKrKzs7Fjxw6t1xYvXoySkhKEhoaqH5hKTk7W6z30AHDo6Pd4dVUcysorNNqf9HDDvi2vwa5zJ71+HhGRoYgy0T/11FNQqVT1viaRSBAWFoawsDCDff6Bz44jKPwdrfbpz4zE1jfmw9qq4fvriYjERpSJ3thGeQ2CU/duuJZ3/2GoFa9OR9j8GQa56MrCYURkSKK9GGtMjg5dcfDdcHTu1AGWllJsW78IqxY8b7A7a1iPnogMiTP6BvSXO2PP2ysAiQQjPQca9LNqFw4rL6/A12lnMHtpFGf3RKQXnNE3YqTXIIMneeBe4bDq/5ZTyMq9jqrKKs7uiUhvmOhFoHbhMKnUAn17OwFgWWAi0g8u3YhA7cJhi99U4MatOwDAssBEpBec0YsMywITkb5xRi8yLAtMRPrGGT0RkZljoiciMnNM9EREZo6JnojIzPFirIHVrWMz82lPmN/+N0QkZpzRG1jdOjbv7T9q7JCIqI1hojew2nVsLCQSqP66a+SIiKitYaI3sNp1bKoFAQ/ZdjByRETU1jDRG1jdJ12DZo41dkhE1MbwYqyB1X3SNTMz04jREFFbxERfD+74RETmhEs39eCOT0RkTpjo61H3ThnWhCciU8ZEX4+6d8qwJjwRmTIm+nqwJjwRmRNejK0Ha8ITkTnhjJ6IyMwx0RMRmTkmeiIiM8dET0Rk5pjoiYjMHBM9EZGZY6InIjJzTPRERGZOolKpBGMHQUREhsMZPRGRmWOiJyIyc0z0RERmjomeiMjMMdETEZk5JnoD27x5M+zs7BAaGqpuEwQBERERcHV1haOjIyZMmIDz588bMcoHV1+/goODYWdnp/Hl6+trxCh1ExERoRV337591a+b4ng11SdTHSsAuHnzJoKCgtCnTx/IZDJ4enrixIkT6tdNcbyApvvVkjFjPXoDSk9PR2JiItzc3DTa4+LiEB8fj/j4eMjlckRFRWHy5MlIT0+Hra34d7NqqF8AMGrUKLz33nvqn62srFoztGaTy+X4/PPP1T9LpVL196Y6Xo31CTDNsVKpVBg3bhy8vLxw8OBB2NvbIzc3Fw4ODupjTHG8dOkX0PwxY6I3kMLCQsybNw9bt25FVFSUul0QBCgUCoSEhMDf3x8AoFAoIJfLkZSUhDlz5hgrZJ001K8a1tbWkMlkRoisZSwtLeuN25THq6E+1TDFsXrnnXfg6Oiokex69eql/t5Ux6upftVo7phx6cZAav6ijRw5UqM9NzcXSqUSPj4+6jYbGxt4e3vj5MmTrR3mA2uoXzXS0tLg4uICd3d3/Otf/8Lt27dbOcLmycnJQb9+/TBo0CC89NJLyMnJAWDa49VQn2qY4lgdPnwY7u7umDNnDlxcXDBixAhs374dwn/3eDbV8WqqXzWaO2ac0RtAYmIisrOzNf53rqFUKgFA61cyBwcH5OXltUp8zdVYvwDA19cXEydOhLOzM65cuYINGzZg0qRJOH78OKytrVs5Wt15eHhg27ZtkMvlyM/PR3R0NMaOHYsffvjBZMersT517drVZMcqJycHO3fuxPz58xESEoKzZ8/itddeAwC88sorJjteTfULaNm/LyZ6PcvMzMS6detw5MiRRtfPJBKJxs+CIGi1iYku/Zo6dar6ezc3NwwZMgQDBw7El19+iUmTJrVWqA9szJgxGj97eHhgyJAh+OCDDzB8+HAApjdejfVp4cKFJjtW1dXVGDp0KNauXQsAGDx4MLKzs5GQkKBOiIDpjZcu/WrJmHHpRs9OnTqFgoICPPHEE7C3t4e9vT2+++47JCQkwN7eHl27dgUA3Lp1S+O8/Px8rVmImDTVr7KyMq1zunfvjh49eiA7O9sIETdfp06d4OrqiuzsbPV6qKmNV121+1QfUxkrmUyGxx57TKOtb9++uHbtmvp1wPTGq6l+1edBxoyJXs8mTJiA77//HqmpqeqvoUOHYurUqUhNTYWLiwtkMhlSUlLU55SWliItLQ2enp5GjLxxTfWrvll+QUEB8vLyTO6CX2lpKTIzMyGTyeDs7GyS41VX7T7Vx1TGysvLC1lZWRptWVlZePTRRwHAZMerqX7V50HGTLpy5co3Whok3de+fXs4ODhofH300Ufo2bMnXnzxRUgkElRVVSE2NhYuLi6oqqpCeHg4lEoltmzZItr10ab6VVxcjHXr1qFTp06orKzE2bNnsWjRIlRVVSE6Olq0/QKA1atXw8rKCtXV1cjKykJoaCiys7MRGxsLOzs7kxyvxvoklUpNdqycnJzw1ltvwcLCAo6Ojvjmm2+wYcMGLFmyBO7u7ib776upfhUVFbVozLhGbwSLFy9GSUkJQkNDoVKp4O7ujuTkZNHe46sLqVSKc+fO4cCBAygsLIRMJsPf//537Nq1S/T9unHjBubOnYuCggJ069YNHh4eOHbsGHr27AnANMersT6VlJSY7FgNGzYM+/btw7p16xAdHQ0nJyesWrUKc+fOVR9jiuPVVL9a+u+L9eiJiMwc1+iJiMwcEz0RkZljoiciMnNM9EREZo6JnojIzDHRExGZOSZ6IiIzx0RPRGTmmOiJiMwcEz1RCxUXF2P48OHw8fFBRUWFuv3rr79Gly5dsGPHDiNGR8RET9RiHTt2REJCAjIyMrBx40YAwO3btxEUFIRx48Zh3rx5Ro6Q2jrWuiHSk/j4eKxevRoff/wxtm7dinPnzuHEiROwt7c3dmjUxjHRE+mJIAiYPn06vv32W5SXl+PQoUMN7q1L1Jq4dEOkJxKJBDNmzEBZWRkGDBjAJE+iwURPpCdKpRJhYWEYPHgwMjIyoFAojB0SEQAmeiK9EAQBwcHBsLKywqFDhxAcHIw33ngDGRkZxg6NiGv0RPqwdetWrF27Fp9++ilGjBiB8vJy+Pr6ory8HCkpKbCxsTF2iNSGcUZP1EJnzpzB+vXrsXTpUowYMQIAYGVlhZ07d+LKlSsIDw83coTU1nFGT0Rk5jijJyIyc0z0RERmjomeiMjMMdETEZk5JnoiIjPHRE9EZOaY6ImIzBwTPRGRmWOiJyIyc/8P/t2aLFuXgqAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# have a true slope of 2, an true intercept of -5 and draw 100 random points\n", "draw_and_compare(2, -5, 100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bootstrap slopes, intercepts and regression lines" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Bananas Clementines Weight
9 19 7.91585
4 25 6.69871
5 26 7.3679
\n", "

... (47 rows omitted)

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load data on fruits\n", "fruit = Table.read_table('fruit_baskets.csv')\n", "fruit.show(3)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# take a random sample (with replacement) from our original fruit sample and fit a regression line\n", "fruit_sample = fruit.sample()\n", "fruit_sample.scatter('Clementines', 'Weight', fit_line = True)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "# create a bootstrap distribution for the slope and intercept\n", "bootstrap_slopes = make_array()\n", "bootstrap_intercepts = make_array()\n", "\n", "for i in np.arange(1000):\n", " \n", " fruit_sample = fruit.sample()\n", " bootstrap_slopes = np.append(bootstrap_slopes, slope(fruit_sample, 'Clementines', 'Weight'))\n", " bootstrap_intercepts = np.append(bootstrap_intercepts, intercept(fruit_sample, 'Clementines', 'Weight'))\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualize all the bootstrap lines\n", "xlims = make_array(14, 28)\n", "\n", "for i in np.arange(len(bootstrap_slopes)):\n", " plots.plot(xlims, bootstrap_slopes[i] * xlims + bootstrap_intercepts[i], lw=1, color = \"blue\", alpha = 1);\n", " plots.xlabel(\"Clementines\")\n", " plots.xlabel(\"Weight\")" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.0674331 , 0.15311039])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# create a 95% confidence interval for the regression slope\n", "bootstrap_CI = make_array(percentile(2.5, bootstrap_slopes), percentile(97.5, bootstrap_slopes))\n", "bootstrap_CI" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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Qos+dP38enp6e8PT0xL179xATEwNPT09ER0ejqKgIqampuHHjBry8vODg4CC8kpOTATwsxqdPn0ZgYCBGjBiBiIgIeHt7IyUlRemuPNu3b8fgwYMRGBiIqVOnYvDgwYiPj1dH6kRE1M785bNSKysrcfv2bRgbGyMuLq5FCx8zZkyzd6B53N1pbGxskJqa+tjlmJmZ4dNPP21RbERE1DGpXBhHjx7doDCKRCKYmppiwIABmDp1aoPrC4mIiNoalQvj1q1bNRkHERFRq6CWY4xERETtBQsjERGRAhZGIiIiBSyMREREClgYiYiIFKhUGO/fv4/169fjxIkTmo6HiIhIp1QqjAYGBvjoo49QWFio6XiIiIh0SuVdqc7OzsJ9TYmIiNorlQtjVFQUdu3ahaNHj2oyHiIiIp1S+c43mzdvhqmpKUJCQtCrVy/069cPhoaGSn1EIhESExPVHiQREZG2qFwYL1++DJFIBBsbGwBAQUFBgz6N3WSciIioLVG5MF64cEGTcRAREbUKvI6RiIhIQYsKo0wmQ2JiIl577TUEBQXh4sWLAB4+N/HgwYP4888/NRIkERGRtqhcGCsrK+Hn54ewsDCkpKTg2LFjKCsrAwCYmJhg5cqVfBgwERG1eSofY1yzZg0uX76MAwcOYNiwYRg4cKAwTSwWY9KkSTh27BiioqI0EihRe1J8sxyl5be1uswqaQ0uXbmm1FZdU6PVGIjaApUL4zfffIP58+fD19cXt27dajDdzs4O+/fvV2twRO1VafltrN28R6vLlEqlMDIyUmp7Y84LWo2BqC1QeVdqRUUF+vfv3+R0uVyOGv71SUREbZzKhdHW1hbZ2dlNTk9LS1PavUpERNQWqbwrdfr06fj4448xadIkDBo0CMD/LuiPj4/H119/jejo6BYtPC0tDZ988gl+++033LhxA3FxcZg5c6YwXS6XY926ddi5cycqKirg6uqKDz74QFg+AFRXV2PVqlVISkrC/fv34enpiQ8//BC9e/cW+lRUVGD58uU4cuQIAGD8+PHYsGEDTE1NWxQvEbVvIhEaHIfVFQuzbrCSmOk6jA5J5cK4dOlS/PzzzwgICMDAgQMhEomwYsUK3Lp1C8XFxfD390dYWFiLFi6VSuHo6IiQkBAsWLCgwfRNmzYhLi4OcXFxsLe3x4YNG/DCCy/gp59+gomJCQAgMjISqampSEhIgJmZGVauXImgoCCcPn0aYrEYADBv3jwUFhbiwIEDEIlEWLJkCcLCwnhMlIiUVN65i493HNR1GACAqCUzWRh1ROXC2LlzZyQmJuLAgQP46quvIBKJUFtbi6FDhyIwMBAzZsxo8S3h/Pz84OfnBwBYtGiR0jS5XI6tW7fijTfewOTJkwEAW7duhb29Pb788kuEhoaisrISu3fvRlxcHLy9vQE8HL06Ozvj1KlT8PHxQU5ODo4fP44jR47A3d0dAPDRRx9hwoQJyM3Nhb29fYtiJiKi9k3lwlhv+vTpmD59uiZiUXLt2jUUFxdj7NixQpuhoSFGjRqF9PR0hIaGIjMzEw8ePFDqY2NjAwcHB6Snp8PHxwcZGRkwNjYWiiIAeHh4wMjICOnp6SyMRESkpMWFEQAuXryI//73vwCAPn36wMnJSe03EC8uLgYASCQSpXaJRIIbN24AAEpKSiAWi2Fubt6gT0lJidDH3NxcKT6RSAQLCwuhT2Nyc3Nb1N4eMVfNqZLWQCqVanWZABoss1ZWq5M4HqWJOJ5kfq3l+wCAKmmVSj+X3E5V05JBUIsKY1JSElavXo3r169DLpcDeFhkevXqhdWrV2tkJPlowZXL5Y8two/2aaz/4+bT2JfYkXa9MlfNunTlWoNrCjWtsesY9cR6Wo+jMeqOo7FcdRHHX2FsZAx7+77N9uF2qhkqF8Y9e/bgtddeg729PdasWYOBAwdCLpfjjz/+wK5duxAWFoaamhqls0r/CisrKwAPR3z1j7oCgNLSUmEUaWlpCZlMhrKyMlhYWCj1GTVqlNCntLRUqRDK5XKUlZU1GI0SERGpfB3jxo0b4erqijNnzmDx4sWYMGECJk6ciMWLF+Ps2bNwcXHBxo0b1RZY3759YWVlhZMnTwpt9+/fx48//igcL3RxcUHnzp2V+hQVFSEnJ0fo4+bmhqqqKmRkZAh9MjIyIJVKlY47EhERAS0YMRYVFWH+/PkwMDBoMM3AwABBQUF45513WrTwqqoq5OXlAQDq6upQWFiIrKwsmJmZoU+fPli4cCE+/PBD2NvbY+DAgfjggw9gZGSEadOmAQC6d++OWbNmISoqChKJRLhcw8nJCV5eXgAABwcH+Pr6YunSpdi0aRPkcjmWLl2KcePGdZhdEEREpDqVC+PTTz8tnPTSmOvXr8PBwaFFCz9//jwmTZokvI+JiUFMTAxCQkKwdetWvP7667h37x7Cw8OFC/yTk5OFaxgBIDo6GmKxGKGhocIF/tu2bROuYQSA7du3IyIiAoGBgQCACRMmYMOGDS2KlYiIOgaVC+PatWsxe/ZsDB06FC+8oHzj4aSkJOzatQu7du1q0cLHjBmDioqKJqeLRCJERkYiMjKyyT4GBgaIjY1FbGxsk33MzMz4SCwiIlKJyoXxk08+gbm5OebOnYsVK1agf//+EIlEyMvLw82bN2FnZ4fNmzdj8+bNwmdEIhESExM1EjgREZEmqFwYL1++DJFIJJwhev36dQCAvr4+bGxsUF1djZycHKXPqPvaRiIiIk1TuTBeuHBBk3EQERG1CipfrkFERNQRsDASEREpYGEkIiJSwMJIRESkgIWRiIhIAQsjERGRApUL49ChQ5Gamtrk9CNHjmDo0KFqCYqIiEhXVC6MBQUFzT7AUyqVCg8vJiIiaqtatCu1uTvZ/P7770o39yYiImqLmr3zzd69e7Fv3z7h/QcffICdO3c26FdRUYHs7GyMGzdO/RESERFpUbOFUSqVori4WHhfWVmJuro6pT4ikQhdu3bF7NmzsWLFCs1ESUREpCXNFsZXXnkFr7zyCgBgyJAhWLduHSZOnKiVwIiIiHRB5ZuIZ2VlaTIOIiKiVkHlwljvzp07KCwsRHl5OeRyeYPpo0ePVktgREREuqByYSwvL0dERAQOHjwImUzWYLpcLodIJMKtW7fUGiAREZE2qVwYly5diq+//hqvvPIKRo8eDVNTU03GRUREpBMqF8bjx48jLCwM77//vibjISIi0imVL/Dv0qUL7OzsNBkLERGRzqlcGCdPnoxjx45pMpYGnJ2dYWpq2uA1Y8YMAMDChQsbTPP19VWaR3V1NcLDwzFgwAD06tULwcHBKCoq0moeRETUdqi8K3Xx4sWYO3cuFixYgLlz56JPnz4Qi8UN+kkkErUFd/LkSaUTff788094eXlhypQpQpuXlxfi4+OF9126dFGaR2RkJFJTU5GQkAAzMzOsXLkSQUFBOH36dKPxExFRx6ZyYXR1dYVIJEJmZiYSExOb7KfOs1ItLCyU3u/evRsmJiZKhVFfXx9WVlaNfr6yshK7d+9GXFwcvL29AQDx8fFwdnbGqVOn4OPjo7ZYiYiofVC5MC5fvrzZm4hrmlwux+7duxEUFISuXbsK7T/++CMGDhyI7t27Y/To0Xj77beFUWtmZiYePHiAsWPHCv1tbGzg4OCA9PR0FkYiImpA5cIYGRmpyTge6+TJk7h27RpmzZoltPn6+mLSpEno27cvCgoK8N577yEgIACnTp2Cvr4+SkpKIBaLYW5urjQviUSCkpKSZpeXm5vbovb2iLlqTpW0ptnHuGnKo8usldXqJI5HaSKOJ5lfa/k+AKBKWqXSzyW3U9XY29ur3LfFd74BAJlMhsrKSnTr1g16ek80ixbbuXMnnnnmGQwZMkRomzp1qvB/JycnuLi4wNnZGUePHkVAQECT86q/GUFzGvsSc3NzW/TltmXMVbMuXbkGIyMjrS5TKpU2WKaeWE/rcTRG3XE0lqsu4vgrjI2MYW/ft9k+3E41o0XPY/z1118xZcoU9OrVCwMHDkRaWhoAoKysDDNmzMDp06c1EuTNmzeRmpqK2bNnN9uvZ8+e6NWrF/Ly8gAAlpaWkMlkKCsrU+pXWlqq1pOEiIio/VC5MGZkZGDixIm4evUqgoODle6Tam5ujqqqKuzevVsjQe7Zswf6+voIDAxstl9ZWRlu3LghnIzj4uKCzp074+TJk0KfoqIi5OTkwN3dXSOxEhFR26byftB3330XdnZ2+O677yCVSrFr1y6l6WPGjMH+/fvVHqBcLseuXbsQGBgIExMTob2qqgrr1q1DQEAArKysUFBQgLVr10IikeD5558HAHTv3h2zZs1CVFQUJBKJcLmGk5MTvLy81B4rERG1fSoXxl9//RWrVq2CgYEB7t6922B67969lR5qrC5nz55FXl4etm/frtQuFouRnZ2NL774ApWVlbCyssKYMWPw+eefKxXQ6OhoiMVihIaG4v79+/D09MS2bdt4DSMRETVK5cLYqVMndOrU9J7X4uJiGBoaqiUoRZ6enqioqGjQbmhoiOTk5Md+3sDAALGxsYiNjVV7bERE1P6ofIzRxcUFR44caXRaTU0NDhw4ADc3N7UFRkREpAsqF8Y333wTZ86cwWuvvYYLFy4AeHiLtuPHjyMgIABXr17FW2+9pbFAiYiItEHlXane3t6Ij49HeHg49u7dC+DhTbzlcjm6d++Ozz77DCNGjNBYoERERNrQoqvzp02bhokTJ+LkyZP4448/UFdXh/79+8PHxwfGxsaaipGIiEhrWnzbmq5du8Lf318TsRAREemcyscYU1NTER4e3uT08PDwJk/OISIiaitULoyffPJJo9cv1rt//z42bdqklqCIiIh0ReXCmJ2dDRcXlyanDx06FJcvX1ZLUERERLqicmGsra3FvXv3mpx+7949VFdXqyUoIiIiXVG5MDo6OuLQoUOoq6trMK2urg6HDh3C008/rdbgiIiItE3lwrhgwQL88ssvCAkJQWZmJqqrq1FdXY3MzEy8+OKL+OWXXxAWFqbJWImIiDRO5cs1pk6diqtXryImJgbHjh0DAIhEIuGhvxEREQgKCtJYoERERNrQousYly1bhmnTpuHw4cPIz8+HXC5H//79MWnSJPTr109DIRIREWmPSoWxuroaycnJeOqpp+Dq6orFixdrOi4iIiKdUOkYo76+Pl5//XXh5uFERETtlcon39jb22vkQcRERESticqFcfny5di+fTsuXbqkyXiIiIh0SuWTb86cOQOJRAJPT0+4ubmhf//+MDQ0VOojEonwwQcfqD1IInUpvlmO0vLbSm1V0hpcunJNq3FU19RodXlEpDqVC+OOHTuE/587dw7nzp1r0IeFkVq70vLbWLt5j1KbVCqFkZGRVuN4Y84LWl0eEalO5cJYXl6uyTiIiIhaBZWPMepCTEwMTE1NlV5PPfWUMF0ulyMmJgZPP/00rK2t4e/vj//85z9K86iurkZ4eDgGDBiAXr16ITg4GEVFRdpOhYiI2ogWF8Zz585hw4YNCA8Px++//w7g4a6oX375Bbdv337Mp1vO3t4eOTk5wuuHH34Qpm3atAlxcXFYv349Tpw4AYlEghdeeAF37twR+kRGRuLw4cNISEhAamoq7ty5g6CgIMhkMrXHSkREbZ/KhbGmpgYvvfQSJk6ciJiYGCQkJAgjL7FYjGnTpuHTTz9Ve4B6enqwsrISXhYWFgAejha3bt2KN954A5MnT4ajoyO2bt2KqqoqfPnllwCAyspK7N69G2vXroW3tzdcXFwQHx+PS5cu4dSpU2qPlYiI2j6VC2NMTAyOHj2K2NhY/PTTT5DL5cI0AwMDTJkyBd9++63aA8zPz8egQYMwZMgQzJkzB/n5+QCAa9euobi4GGPHjhX6GhoaYtSoUUhPTwcAZGZm4sGDB0p9bGxs4ODgIPQhIiJSpHJhPHDgAF5++WXMnTsXPXr0aDDd3t5eKFrqMnz4cGzZsgUHDhzA5s2bUVxcDD8/P9y6dUu42YBEIlH6jEQiQUlJCQCgpKQEYrEY5ubmTfYhIiJSpPJZqTdv3oSzs3OT0/X19SGVStUSVL3nnntO6f3w4cPh4uKCvXv3YsSIEQAeXiLU4CK5AAAbjklEQVSiqP5pH81RpU9ubm6L2tuj9phrlbSm0Z9Tdf/sPk6trFbrywQa5qmrOB6liTieZH6t5fsAgCpplUrbYHvcTpvyV3K1t7dXua/KhdHKyqrZEeEvv/yCvn37qrzgJ2FsbIynn34aeXl5eP755wE8HBXa2NgIfUpLS4VRpKWlJWQyGcrKyoRjk/V9Ro0a1eyyGvsSc3NzW/TltmXtNddLV641uGZRF9cx6on1tL7MxvLURRyNUXccT7pOW8v3AQDGRsawt2/+d2p73U4bo81cVd6VGhAQgM8//1w4ExX432jt22+/xYEDBxAYGKj+CBXcv38fubm5sLKyQt++fWFlZYWTJ08qTf/xxx/h7u4OAHBxcUHnzp2V+hQVFSEnJ0foQ0REpEjlEWNERATOnDmDZ599Fu7u7hCJRNi4cSPWrl2LX3/9Fa6urnj99dfVGtyqVaswfvx42NjYoLS0FLGxsbh79y5CQkIgEomwcOFCfPjhh7C3t8fAgQPxwQcfwMjICNOmTQMAdO/eHbNmzUJUVBQkEgnMzMywcuVKODk5wcvLS62xEhFR+6ByYTQxMcG///1vxMXF4auvvoKBgQHOnTuH/v37IzIyEosXL4aBgYFag7t+/TrmzZsn7AodPnw4jh07BltbWwDA66+/jnv37iE8PBwVFRVwdXVFcnIyTExMhHlER0dDLBYjNDQU9+/fh6enJ7Zt2waxWKzWWImIqH1QuTACDy/LeOutt/DWW29pKh4livdnbYxIJEJkZCQiIyOb7GNgYIDY2FjExsaqOzwiImqHHlsYq6urkZqaivz8fPTo0QPjxo2DtbW1NmIjIiLSumYLY3FxMSZOnIirV68KF/R37doViYmJGD16tFYCJCIi0qZmz0p97733kJ+fj0WLFmH//v2IiYmBgYEBli9frq34iIiItKrZEeOJEycQEhKC9957T2iztLTEvHnzUFRUhN69e2s8QCIiIm1qdsRYXFzc4Ho/Dw8PyOVyFBYWajQwIiIiXWi2MMpksgaXYNS/v3//vuaiIiIi0pHHnpWan5+PX375RXhf/8zF3NxcGBsbN+jv6uqqxvCIiIi067GFMSYmBjExMQ3aHz0Bp/7G3Ldu3VJfdERERFrWbGGMi4vTVhxEREStQrOF8cUXX9RWHERERK2Cyk/XICIi6ghYGImIiBSwMBIRESlgYSQiIlLQosdOERGRdohEwKUr15rtUyWteWyfv8rCrBusJGYaXUZrw8JIRNQKVd65i493HGy2j1QqhZGRkUbjiFoys8MVRu5KJSIiUsDCSEREpICFkYiISAELIxERkQIWRiIiIgWtujBu3LgR3t7e6NOnD+zs7BAUFITs7GylPgsXLoSpqanSy9fXV6lPdXU1wsPDMWDAAPTq1QvBwcEoKirSZipERNRGtOrC+P3332Pu3Lk4evQoDh06BD09PUyZMgXl5eVK/by8vJCTkyO8Dhw4oDQ9MjIShw8fRkJCAlJTU3Hnzh0EBQVBJpNpMx0iImoDWvV1jMnJyUrv4+PjYWtri3PnzmHChAlCu76+PqysrBqdR2VlJXbv3o24uDh4e3sL83F2dsapU6fg4+OjuQSIiKjNadUjxkdVVVWhrq4OpqamSu0//vgjBg4cCFdXVyxZsgQ3b94UpmVmZuLBgwcYO3as0GZjYwMHBwekp6drLXYiImobWvWI8VErVqyAs7Mz3NzchDZfX19MmjQJffv2RUFBAd577z0EBATg1KlT0NfXR0lJCcRiMczNzZXmJZFIUFJSou0UiIiolWszhfEf//gHzp07hyNHjkAsFgvtU6dOFf7v5OQEFxcXODs74+jRowgICGhyfnK5HCKRqMnpubm5LWpvj9SZax30UFF1V23ze3IiSKXSBq2NtWlSraxW68sEGuapqzgepYk4nmR+reX7AFSPRdPxVkmrWs3vvb8Sh729vcp920RhjIyMRHJyMg4fPox+/fo127dnz57o1asX8vLyAACWlpaQyWQoKyuDhYWF0K+0tBSjRo1qcj6NfYm5ubkt+nLbMnXneunKNWxMSFHb/J7UG3NeaHBvSW3cb/JRemI9rS+zsTx1EUdj1B3Hk67T1vJ9AKrFoo2fXWMjY9jb99XoMlShzd+/rf4YY0REBL788kscOnQITz311GP7l5WV4caNG8LJOC4uLujcuTNOnjwp9CkqKkJOTg7c3d01FjcREbVNrXrEuGzZMuzfvx//+te/YGpqiuLiYgCAkZERjI2NUVVVhXXr1iEgIABWVlYoKCjA2rVrIZFI8PzzzwMAunfvjlmzZiEqKgoSiQRmZmZYuXIlnJyc4OXlpcPsiIioNWrVhfGzzz4DAEyePFmpPSIiApGRkRCLxcjOzsYXX3yByspKWFlZYcyYMfj8889hYmIi9I+OjoZYLEZoaCju378PT09PbNu2TelYJREREdDKC2NFRUWz0w0NDRtc69gYAwMDxMbGIjY2Vl2hERFRO9XqjzESERFpEwsjERGRAhZGIiIiBSyMREREClgYiYiIFLAwEhERKWBhJCIiUsDCSEREpICFkYiISAELIxERkQIWRiIiIgUsjERERApYGImIiBSwMBIRESlgYSQiIlLAwkhERKRAVFFRIdd1EG1Fbm4u7O3tdR2GVqg710tXrmHt5j1qmx8AHFm5Qa3zI2pvxr+//C/PI2rJTDg91VcN0fw12vz9q6eVpRARUZskEj38w1bX9ETaK1csjERE1KTKO3fx8Y6Dug4Db86drLVlsTC2Y8U3y1FafvuJPlslrVHrX4nVNTVqmxcRkSaxMLZjpeW3n/i4nlQqhZGRkdpieWPOC2qbFxGRJnWos1I/++wzDBkyBFZWVnj22Wfxww8/6DokIiJqZTpMYUxOTsaKFSvw1ltv4cyZM3Bzc8P06dPx3//+V9ehERFRK9JhCmNcXBxefPFFzJ49Gw4ODoiNjYWVlRV27Nih69CIiKgV6RDXMdbU1KBnz55ISEjAlClThPZly5YhOzsbqampOoyOiIhakw4xYiwrK4NMJoNEIlFql0gkKCkp0VFURETUGnWIwlhPJBIpvZfL5Q3aiIioY+sQhdHc3BxisbjB6LC0tLTBKJKIiDq2DlEYu3TpAhcXF5w8eVKp/eTJk3B3d9dRVERE1Bp1mAv8X331VYSFhcHV1RXu7u7YsWMH/vzzT4SGhuo6NCIiakU6xIgRAG7dugVjY2MsWbIEHh4e+O6775CYmAhbW9tG+1+6dAkTJ06EtbU1Bg0ahPXr10Mu/98JvIcOHcILL7wAOzs72NjYwMfHp8HZrXv27IGpqWmD1/379zWaa0tvZPC4XM+ePdtoHleuXFGaT0pKCtzd3WFpaQl3d3ccPnxYI/nVU3eeCxcubDTPXr16CX3awjq9f/8+Fi5ciFGjRsHCwgL+/v6N9vv+++/x7LPPwsrKCkOHDm300iVtr1NA/bm21m1V3Xm21u0UUH+umt5WO0RhrL+4/5133kF6ejrmzZuHGzduNFkUb9++jRdeeAGWlpY4ceIE1q1bh08++QT//Oc/hT5paWnw9PREYmIizpw5g+eeew4vvfRSgxXetWtX5OTkKL0MDAw0nquqNzJQJdd6586dU8rDzs5OmJaRkYE5c+Zg+vTpOHv2LKZPn46XX34ZP//8c5vJc926dQ3WVb9+/ZQu8QFa/zqVyWQwMDDA/Pnz4efn12if/Px8zJgxA25ubjhz5gzefPNNLF++HCkpKUIfba9TQDO5tsZtVRN51mtN2ymgmVw1va12iOsYfXx84OTkhM2bNwttzzzzDCZPnozVq1c36J+QkIB33nkHV65cgaGhIQAgNjYWO3bsQHZ2dpNnso4dOxYjR47E+++/D+DhXyzLly9HUVGRBrJqnCZyPXv2LCZNmoQ//vgD5ubmjS43NDQU5eXl+Oqrr4S2yZMnw8LCAgkJCWrOUjvr9Ny5cxg/fjyOHj0qHItuC+tUUXh4OLKzs/HNN98ota9evRqHDx/Gr7/+KrQtXrwYly9fxrFjxwBof50Cmsm1MbreVjWRZ2vcTgHtrFN1b6vtfsRYU1ODzMxMjB07Vql97NixSE9Pb/QzGRkZGDlypPALFHi4cm/cuIFr15p+4kRVVRVMTU2V2u7du4fBgwfD0dERQUFB+O233/5CNs3TdK5eXl5wcHBAQEAAzpw5ozTtp59+arBcHx+fJpf7V2hrne7cuRODBg1qcIJWa1+nqsjIyGh0fZ0/fx4PHjwAoN11Cmgu18boclvVdJ6tZTsFtLdO1b2ttvvC+CQX95eUlDTav35aY7Zv347r168jKChIaLO3t8c///lP7N27F5999hn09fUxfvx4/PHHH38lpSZpKldra2ts3LgRu3fvxu7du2Fvb4/JkycjLS1N+ExxcbHWbqCgjXVaWVmJlJQU/P3vf1dqbwvrVBVNfR+1tbUoKysDoN11CmjvRhy63lY1lWdr204B7axTTWyrHeas1JZe3N9Y/8bagYcHs6OiopCQkKB03NLNzQ1ubm7Ce3d3d4wZMwbx8fHYsGHDE+WhCnXnam9vD3t7e2G6m5sbCgoK8Mknn2D06NFPvNy/SpPrNDExETKZDMHBwUrtbWWdPuk8H23XxU0xNLnM1rStqjvP1rqdanqZmthW2/2I8Uku7re0tGy0P4AGn0lJScGCBQuwbds2TJw4sdlYxGIxXFxckJeX19I0VKLpXBW5uroq5WFlZaW1GyhoI8+dO3ciICAAZmZmzcbSGtepKpr6PvT09NCjRw8A2l2ngOZvxNFatlVt3nBEl9spoJ1cNbGttvvC+CQX97u5ueHHH39UOq335MmT6NmzJ/r27Su0HTx4EGFhYdiyZQsmT5782FjkcjkuXboEKyurJ8ymeZrM9VEXLlxQymPEiBFau4GCpvP8+eefcfHixQa7ZhrTGtepKtzc3HDq1KkG8xw2bBg6d+4MQLvrFNDsjTha07aqzRuO6HI7BTSfq6a21XZfGIGHF/fv3bsXu3btQk5ODiIiIpQu7l+zZg0CAgKE/tOmTYOhoSEWLVqE7OxsHDp0CB9//DEWLVokDP+TkpLwyiuvYPXq1Rg1ahSKi4tRXFyM8vJyYT7r1q3Dd999h/z8fGRlZeG1117DpUuXMGfOnDaV65YtW/D111/jjz/+wH/+8x+sWbMG33zzDV555RVhPgsWLMCZM2ewceNGXLlyBRs3bsTZs2excOHCNpNnvZ07d8LOzg5/+9vfGiy3LaxTALh8+TKysrJQVlYGqVSKrKwsZGVlCdNDQ0Nx/fp1rFixAjk5Odi1axf27t2L1157Teij7XWqqVxb47aqiTxb43aqqVzraWpb7RDHGAMDA3Hr1i3ExsaiuLgYgwYNUrq4/88//8TVq1eF/t27d8fBgwexbNkyeHt7w9TUFK+++qrSL40dO3agtrYWkZGRiIyMFNpHjx4tnFpcWVmJ119/HSUlJejWrRuGDBmC1NRUuLq6tqlcHzx4gLfffhs3btyAgYGBME/Fa4zq7yb03nvvISYmBv3798eOHTswfPjwNpMnANy5cwfJyclYvnx5o8dA2sI6BdDgOjFPT08AQEVFBQCgX79+SExMxD/+8Q/s2LED1tbWWL9+vdJoStvrVFO5tsZtVRN5tsbtVFO5AprdVjvEdYxERESq6hC7UomIiFTFwkhERKSAhZGIiEgBCyMREZECFkYiIiIFLIxEREQKWBipQ3r0IaY9evTAoEGD8PLLLyM3N1djy62oqEBMTAwyMzNb/Nmvv/660edktgWmpqaIiYnRdRhEKmFhpA5t586dOHbsGFJTUxEVFYWsrCxMnjwZlZWVGlleZWUl1q9f3+hdPB7nm2++wZYtWzQQFREp6hB3viFqirOzMwYMGAAA8PDwQM+ePTFlyhRkZGTgueee03F0T666uhr6+vq6DoOoTeKIkUiBiYkJAAgP6613/PhxPPfcc7C2toatrS1efPHFBrtc5XI54uLiMHz4cEgkEjg4OCA8PBy3b98GAFy7dg1Dhw4FACxZskTYjbtnzx4AwHfffYdx48bB1tYWvXv3xvDhw7F+/XoAwMKFC7Fv3z5cv35d+JyzszOAh09uNzU1xaFDh7BkyRLY2dkJjx/Ky8vD/PnzMWTIEFhbW2Po0KF48803lW6tVT9/R0dHpKenw9vbG1ZWVnB2dkZ8fPxjv7OqqiqEh4dj8ODBsLS0FJ4DeOXKlWY/p8p36u/vj/Hjx+Obb77ByJEjYWlpiREjRuDgwYMN5nfhwgUEBwejb9++sLa2xrhx4/DDDz8o9fn1118xZcoU9O/fHz179sTQoUPx1ltvPTZH6lg4YqQOTSaToba2FjKZDPn5+Vi7di0kEonSTYmPHz+OGTNmwNPTEzt27IBUKkV0dDTGjx+Ps2fPolevXgCAd999Fxs3bsQrr7yC8ePH4/Lly4iOjsbFixfxzTffwNraGrt378asWbPw5ptvYsKECQCA/v37Iz8/HyEhIZg8eTLCw8PRuXNn5OXlIT8/HwCwfPlylJWV4ddff8W+ffsAPHxygaKIiAj4+voiPj5eeIrIjRs30Lt3b8TExMDU1BT5+fnYuHEjpk+fjmPHjil9/s6dO5gzZw5ef/11DBgwAElJSYiIiICxsTFmzpzZ5Hf4j3/8A99++y3efvtt2NnZ4datW0hPT292d7Sq3ynwsLhHRERgxYoVkEgk2LFjB+bMmQNzc3PhHpqZmZmYOHEihgwZgs2bN8PQ0BA7duzAlClT8O9//xsuLi6oqqpCYGAgXF1dsWXLFhgbG6OgoAAZGRnN/oxQx8N7pVKHtGfPHrz66qsN2nv27Ik9e/bgmWeeEdq8vLxw+/ZtZGRkQE/v4d+S+fn5GD58OObPn4/o6GiUl5fj6aefRmBgILZu3Sp8dv/+/QgLC8PevXsxceJEYdS4efNmpUflpKSkYPbs2SgoKEC3bt0ajXnhwoU4ffo0srOzldrPnj2LSZMmwd/fXxh9NqW2thY//fQTJkyYgNOnTwsj2PoRaUJCAqZOnSr0nzJlCn7//XdcuHChyQfLjhw5Et7e3oiOjm5yuaampoiIiBBu4q3Kdwo8HDGmpaXh2LFjGDFiBICHf8x4eHjAwsIC3377LQAgICAAf/75J77//nvhDwaZTIaRI0di4MCB2Lt3L86fPw9vb298//33GDx4cLPfE3Vs3JVKHdq//vUvnDx5EidOnMCePXvg4OCA6dOnIycnBwAglUrx22+/ITAwUPgFDjx8OoW7uzvS0tIAAD/99BOqq6sRFBSkNP+pU6dCT09P6NcUZ2dndO7cGXPnzkVKSgpu3rzZ4lyef/75Bm01NTX48MMPMWLECFhbW8PCwkIYqf7+++9KfcVicYPH/wQGBqKwsBDXr19vcrnDhg3D3r178eGHH+L8+fOQyWTNxqnqd1rPxsZGKIr1cU6ePBm//PIL6urqcO/ePaSlpWHy5Mno1KkTamtrUVtbC7lcjmeffVbYnTpgwAB0794dS5cuxf79+1FYWNhsnNRxsTBSh+bo6Ihhw4bhmWeegb+/P/bt2we5XI5169YBeHh5hVwub/ThplZWVsIz/er/fbSfnp4eevToofTsv8bU77qsq6tDWFgYnnrqKfj4+OD7779XORdra+sGbWvWrMG6deswY8YM7N+/HydOnMDu3bsBQOmhzcDDUV39Q4rrWVpaAni4S7YpGzZsQGhoKP71r3/B29sbAwcORGRkJO7evdtof1W/03qNPend0tISNTU1KC0tRXl5OWQyGWJjY2FhYaH02r59OyoqKlBXV4fu3bvj8OHDsLa2xrJlyzB48GCMHDkSKSkpTeZGHROPMRIpMDQ0RL9+/XDp0iUAD4uFSCRCcXFxg77FxcXo0aMHAMDMzAwAUFJSgkGDBgl9amtrcevWLaFfczw9PeHp6Ynq6mqcO3cOMTExCAoKQlZWFszNzR/7+cZ2dSYnJyM4OBjh4eFCW1VVVaOfr6iowIMHD5SKY0lJCYCHu5ibYmxsjNWrV2P16tUoKChASkoK1qxZgy5dumDNmjUN+qv6ndZrbPRcUlKCLl26wMLCAvfu3UOnTp0wb948hISENBpjp04PxwBDhgzB7t27UVtbi/Pnz2Pjxo0IDQ3F999/D0dHxyZzpI6FI0YiBXfv3sXVq1eFQmRkZAQXFxekpKQo7SKsP2lj9OjRAIARI0ZAX18fSUlJSvNLTk5GbW2t0K/+Eop79+41GYO+vj6effZZLFmyBFKpFNeuXRPam/tcU/k8Ogps6jikTCbDoUOHGsRvY2OjdDJMc2xtbbF48WI4OjriP//5T6N9VP1O6xUWFuKnn35SijMlJQWurq7o1KkTjIyMMHLkSFy8eBFDhw7FsGHDGrwepaenhxEjRmDlypWoq6t77Bm01LFwxEgd2oULF1BWVga5XI4///wT27dvR3l5OcLCwoQ+K1euxIwZMxAUFIS5c+dCKpUiJiYG3bp1w2uvvQbg4Yjx1VdfxcaNG9G1a1f4+fkhJycH77//PkaOHIlx48YBeLgLsEePHkhOToaTkxOMjIzQt29ffPXVV/jhhx/w3HPPoXfv3igrK8NHH32Enj17CiNQBwcHlJeXIyEhAcOGDYO+vj6cnJyazc/X1xf79u2Do6MjBgwYgMOHDzd5FqaJiQlWr16NsrIy2NnZ4csvv8SpU6ewZcuWJk+8AYDnnnsOEyZMgKOjI4yMjJCWloaLFy82OXpT9TutZ2lpidDQUERGRsLCwgI7duzA77//jg8//FDo8/7778Pf3x+BgYGYNWsWrKysUFZWhqysLMhkMrzzzjs4cuQI/u///g/+/v7o27cv7t69i/j4eJiYmCgdwyRiYaQObfbs2cL/LSwsMGjQICQlJcHHx0do9/X1RWJiItavX4/Q0FB06dIFo0ePxtq1a5V2Mb799tswNzfH559/joSEBPTo0QPBwcGIiooSduV16tQJmzdvxrvvvospU6agtrYWcXFxGDx4MI4dO4a1a9fi5s2bMDMzg4eHB7Zv3w5DQ0MAwN///nf8/PPPWLt2LSorK9GnTx9cuHCh2fw2bNgAuVyOd999FwDg5+eHhIQEjB07tkFfExMTJCQkYMWKFcjOzoZEIsG6devw4osvNruMUaNG4eDBg/j4449RW1uLfv36ITo6GgsWLGjyM6p+p8DD469LlizBu+++iz/++AO2trZISEgQLtUAABcXF5w4cQLr169HREQEbt++DQsLCwwZMgRz5swBANjZ2cHQ0BCxsbEoLi6GsbExnnnmGRw8eBC9e/duNkfqWHi5BhE1eSmIrvn7+0Mmk+HIkSO6DoU6EB5jJCIiUsDCSEREpIC7UomIiBRwxEhERKSAhZGIiEgBCyMREZECFkYiIiIFLIxEREQKWBiJiIgU/D+nBP5QSI96zQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualize the bootstrap distribution\n", "Table().with_column(\"Bootstrap slopes\", bootstrap_slopes).hist(\"Bootstrap slopes\")\n", "plots.plot(bootstrap_CI, [0, 0], color='gold', lw=18);\n", "\n", "# Question:\n", "# Is a slope of 0 plausible? \n", "# i.e, no linear association between the number of Clementines and Weight?\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Question: could you run a hypothesis test assessing whether the regression slope is 0? " ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "# create a null distribution \n", "\n", "null_fruit_slopes = make_array()\n", "\n", "for i in np.arange(1000):\n", " fruit_shuff = fruit.with_column('Weight', fruit.sample(with_replacement = False).column(\"Weight\"))\n", " null_fruit_slopes = np.append(null_fruit_slopes, slope(fruit_shuff, 'Clementines', 'Weight'))\n", "\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.11468767835062636" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Table().with_column(\"Null slopes\", null_fruit_slopes).hist(\"Null slopes\", bins = np.arange(-.1, .1, .01))\n", "real_slope = slope(fruit, 'Clementines', 'Weight')\n", "real_slope" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Classification" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
WaveletVar WaveletSkew WaveletCurt Entropy Class
3.6216 8.6661 -2.8073 -0.44699 0
4.5459 8.1674 -2.4586 -1.4621 0
3.866 -2.6383 1.9242 0.10645 0
3.4566 9.5228 -4.0112 -3.5944 0
0.32924 -4.4552 4.5718 -0.9888 0
4.3684 9.6718 -3.9606 -3.1625 0
3.5912 3.0129 0.72888 0.56421 0
2.0922 -6.81 8.4636 -0.60216 0
3.2032 5.7588 -0.75345 -0.61251 0
1.5356 9.1772 -2.2718 -0.73535 0
\n", "

... (1362 rows omitted)

" ], "text/plain": [ "WaveletVar | WaveletSkew | WaveletCurt | Entropy | Class\n", "3.6216 | 8.6661 | -2.8073 | -0.44699 | 0\n", "4.5459 | 8.1674 | -2.4586 | -1.4621 | 0\n", "3.866 | -2.6383 | 1.9242 | 0.10645 | 0\n", "3.4566 | 9.5228 | -4.0112 | -3.5944 | 0\n", "0.32924 | -4.4552 | 4.5718 | -0.9888 | 0\n", "4.3684 | 9.6718 | -3.9606 | -3.1625 | 0\n", "3.5912 | 3.0129 | 0.72888 | 0.56421 | 0\n", "2.0922 | -6.81 | 8.4636 | -0.60216 | 0\n", "3.2032 | 5.7588 | -0.75345 | -0.61251 | 0\n", "1.5356 | 9.1772 | -2.2718 | -0.73535 | 0\n", "... (1362 rows omitted)" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Can you tell if a bank note is counterfeit or legitimate?\n", "# Variables based on photgraphs of many banknotes (a few numbers for each image calculated)\n", "\n", "banknotes = Table.read_table('banknote.csv')\n", "banknotes" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize 'WaveletVar' and 'WaveletCurt'\n", "banknotes.scatter('WaveletVar', 'WaveletCurt', colors='Class')" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize 'WaveletSkew', 'Entropy'\n", "banknotes.scatter('WaveletSkew', 'Entropy', colors='Class')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Two attributes have some overlap of classes...what happens with three attributes?\n", "fig = plots.figure(figsize=(8,8))\n", "ax = Axes3D(fig)\n", "\n", "ax.scatter(banknotes.column('WaveletSkew'), \n", " banknotes.column('WaveletVar'), \n", " banknotes.column('WaveletCurt'), \n", " c=banknotes.column('Class'),\n", " cmap='rainbow', #'viridis',\n", " s=50);" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }