{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"2020-11-19 - lesson #14 notebook.ipynb","provenance":[],"collapsed_sections":["3kkBap_0fx2C","sKzOWHhARA7q"],"authorship_tag":"ABX9TyMvmFodaSPHvLL6cPEfuwNL"},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"markdown","metadata":{"id":"n-tRl-ouYOAe"},"source":["# Video lesson \\#14 notebook"]},{"cell_type":"markdown","metadata":{"id":"3kkBap_0fx2C"},"source":["## Part 1: `SciPy` linear regression"]},{"cell_type":"code","metadata":{"id":"dvM2sCXVfr3L","executionInfo":{"status":"ok","timestamp":1605739696150,"user_tz":480,"elapsed":1632,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}}},"source":["# Import two modules from SciPy package\n","from scipy import interpolate, stats\n","\n","# Also import other useful libraries\n","import numpy as np\n","import pandas as pd\n","from datetime import datetime, timedelta\n","import matplotlib.pyplot as plt"],"execution_count":2,"outputs":[]},{"cell_type":"code","metadata":{"id":"eacdDvjYqxxh","executionInfo":{"status":"ok","timestamp":1605739696150,"user_tz":480,"elapsed":1625,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}}},"source":["# Sample noisy data with a trend\n","x = np.arange(0,10,0.1)\n","y = 5*x - 25 + np.random.normal(0,25,size=100)"],"execution_count":3,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":54},"id":"hg4rieMjthHJ","executionInfo":{"status":"ok","timestamp":1605739696151,"user_tz":480,"elapsed":1620,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}},"outputId":"9984aab6-f989-4d40-b45d-50628db37b7f"},"source":["# Plot sample data\n","plt.figure(figsize=(7,4)) # dpi=300\n","plt.scatter(x,y,c='k',zorder=2)\n","plt.plot(x,y,c='k',zorder=3)\n","plt.grid(zorder=1)\n","plt.xlabel('x')\n","plt.ylabel('y');"],"execution_count":4,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":54},"id":"ExdT8Vr90q_n","executionInfo":{"status":"ok","timestamp":1605739696855,"user_tz":480,"elapsed":2319,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}},"outputId":"ccfe682a-2253-44d0-d656-19bdda0bba80"},"source":["# Plot sample data with trend line\n","plt.figure(figsize=(7,4))\n","plt.scatter(x,y,c='k',zorder=2)\n","plt.plot(x,y,c='k',zorder=3)\n","plt.plot(x,5*x - 25,c='r',zorder=4)\n","plt.grid(zorder=1)\n","plt.xlabel('x')\n","plt.ylabel('y');"],"execution_count":5,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"oO-bAroY1Qd2","executionInfo":{"status":"ok","timestamp":1605739696856,"user_tz":480,"elapsed":2317,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}}},"source":["# Sample noisy data with a quadratic trend\n","x = np.arange(0,10,0.1)\n","y_quad = 4*(x-5)**2 + 5*x - 25 + np.random.normal(0,25,size=100)"],"execution_count":6,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":54},"id":"_e5xhUf12BhQ","executionInfo":{"status":"ok","timestamp":1605739696857,"user_tz":480,"elapsed":2312,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}},"outputId":"3dd22219-6584-457e-db1e-339b06a36c6b"},"source":["# Plot sample quadratic data with trend line\n","plt.figure(figsize=(7,4))\n","plt.scatter(x,y_quad,c='k',zorder=2)\n","plt.plot(x,y_quad,c='k',zorder=3)\n","plt.plot(x,6*x,c='r',zorder=4)\n","plt.grid(zorder=1)\n","plt.xlabel('x')\n","plt.ylabel('y');"],"execution_count":7,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"d-AMxBYD8_ax","executionInfo":{"status":"ok","timestamp":1605739696858,"user_tz":480,"elapsed":2309,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}}},"source":["# Sample noisy data with outliers and a trend\n","x = np.arange(0,10,0.1)\n","y_outlier = 25*x - 150 + np.random.normal(0,25,size=100)\n","y_outlier[-10:] -= 200"],"execution_count":8,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":54},"id":"UFqmR_LB9PTv","executionInfo":{"status":"ok","timestamp":1605739697374,"user_tz":480,"elapsed":2821,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}},"outputId":"a4e50132-6379-4e8f-f65e-a0a94a3a547c"},"source":["# Plot sample data with trend line\n","m, b = stats.linregress(x,y_outlier)[0:2]\n","plt.figure(figsize=(7,4))\n","plt.scatter(x,y_outlier,c='k',zorder=2)\n","plt.plot(x,y_outlier,c='k',zorder=3)\n","plt.plot(x,m*x + b,c='r',zorder=4,label='Regression')\n","plt.plot(x,25*x - 150,'r--',zorder=4,label='Regression without outliers')\n","plt.legend()\n","plt.grid(zorder=1)\n","plt.xlabel('x')\n","plt.ylabel('y');"],"execution_count":9,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"RyyO9_j2RBoc","executionInfo":{"status":"ok","timestamp":1605739697374,"user_tz":480,"elapsed":2817,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}},"outputId":"d5811050-fdbe-426a-b2e7-600df1e089c0"},"source":["# Linear regression on original noisy data\n","slope, intercept, rvalue, pvalue, stderr = stats.linregress(x,y)\n","\n","print('The slope is',round(slope,2))\n","print('The y-intercept is',round(intercept,2))\n","print('The r-value is',round(rvalue,2))\n","print('The p-value is',pvalue)\n","print('The standard error is',round(stderr,2))"],"execution_count":10,"outputs":[{"output_type":"stream","text":["The slope is 4.29\n","The y-intercept is -16.16\n","The r-value is 0.47\n","The p-value is 6.830058503530004e-07\n","The standard error is 0.81\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"VB2_F-W8T8Tj","executionInfo":{"status":"ok","timestamp":1605739697375,"user_tz":480,"elapsed":2815,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}},"outputId":"96528c49-dba6-4e6d-c8a8-080303b63296"},"source":["# This is how you can make an array of Datetime objects useable in a regression\n","import matplotlib.dates as mdates\n","\n","t = np.array([datetime(2020,1,1),datetime(2020,2,1),datetime(2020,3,1)])\n","t_as_numbers = mdates.date2num(t)\n","\n","print(t_as_numbers)"],"execution_count":11,"outputs":[{"output_type":"stream","text":["[737425. 737456. 737485.]\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"sKzOWHhARA7q"},"source":["## Part 2: `SciPy` 1-D interpolation (for 2-D examples, stay tuned for Class \\#14 activities)"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":295},"id":"fnRkhDhXcEg7","executionInfo":{"status":"ok","timestamp":1605739697375,"user_tz":480,"elapsed":2810,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}},"outputId":"692901b0-480f-4254-fe84-5897eb101fad"},"source":["# Monthly climatological high temperatures for Seattle\n","mid_months = np.array([datetime(2020,mo,15) for mo in np.arange(1,13)]) # months 1 through 12\n","high_t = np.array([45,48,52,58,64,69,72,73,67,59,51,47]) # units: °F\n","\n","# Plot original data\n","plt.figure(figsize=(7,4))\n","plt.plot(mid_months,high_t,c='k',lw=2,zorder=2)\n","plt.scatter(mid_months,high_t,c='k',zorder=3)\n","plt.ylabel('Temperature (°F)')\n","plt.xlabel('Month')\n","plt.title('Climatological high temperatures in Seattle');\n","plt.grid(alpha=0.5)\n","plt.gca().xaxis.set_major_formatter(mdates.DateFormatter('%b'))"],"execution_count":12,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAbYAAAEWCAYAAAAKFbKeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3dd3gU5drH8e8dQu9IEZEkoqKiKB0LoBwFRTwWmmCOjRIVlSogxIIURRCliYeICkpAAQH1eKQpoKAvgnQBsSUUESlSA4Qk9/vHTnIWSNlAdie7uT/XtVd2Z2dnfvPsZu99poqqYowxxoSKMLcDGGOMMXnJCpsxxpiQYoXNGGNMSLHCZowxJqRYYTPGGBNSrLAZY4wJKVbYQoSIDBaRac79CBE5KiKF8lOu85xOUxH5KQ+mkyAit2Xx3BQRGZbNa4+KSA0f56Mictm55jTnT0SiRWSh2znORU6fRZM9K2xBREQeEJHVzhfsbhH5QkSanDmeqm5X1VKqmuqHDHlSqHJLVb9R1SsCPd8zMpRS1d/yerputak/iEiUU9TD3c6iqvGq2vJcXisi5UTkXRH5U0SOiMg2EXn2fDNl1j4i8oiILD/faZv/scIWJESkDzAGeBmoAkQAE4F73MxlChZ/rwUQj/zwvfQGUAq4CigL3A384moi47P88AEyORCRssAQ4ElVnaOqx1T1lKp+pqr9Mhn/tF+FIrJURIaJyLdOb+8zEblAROJF5LCIrBKRKK/XjxWRHc5zP4hIU2f4HcAg4H5nOuud4ReJyKcickBEfhGRbtksy90i8qOIHHRyXeX1XD0RWev8Qp4lIh+lr44RkVtEZKfXuNVFZI6I7BWR/SIywRl+qYh85Qzb5yxjuVw0d3kR+dzJsFJELvWaZ8bqRaf9PvNqv2GZ/Oq+TUR+dpb1TRGRTNojqzYtKyLvOD3zXc70CznPPSIiK0TkDWfav4nIjc7wHSLyl4g87DWPKSLybxFZ5CzXMhGJ9Hr+Sue5AyLyk4h0OOO1b4nIf0XkGNBcRFo779NhZ36DvRbpa+fvQWd5bpAzeqRZfD6Hi8gKIAmokUOmO0Vks7Msu0TkmczeSDmjJ+TM8/Gc3hNHQ2C6qv6tqmmqulVVZ/vYZrlqH+DfwA3O44NZLMtdIrLOyf2tiFybRW4DoKp2y+c34A4gBQjPZpzBwDTnfhSg6eMDS/H82rwUz6/PzcA24DYgHHgfeM9rWv8CLnCe6wv8CRQ7cz5e43+Np/dYDKgD7AX+kUmumsAxoAVQGOjv5Cri3BKBns5zbYBkYJjz2luAnc79QsB6PL+qSzrzbeI8d5kz/aJAJSfbGK+sCcBtWbThFGA/0MhZ9njgQ6/nFbjMuf+hcysB1AJ2AMvPGPc/QDk8veu9wB05vXdew+YCk5zlqwx8DzzmPPeI83l41GmLYcB24E1nuVsCR4BSXst1BGjmPD82Pasz/R3OtMKBusA+oJbXaw8BN+H5IVzMeS9qO4+vBfYA92b22cts+c4cB8/ncztwtZOhbA6ZdgNNnfvlgXpZtOsj5/GeTAZ+dDJcfsZzObVZbtvntJxe7Z7+2a8L/AU0dt7vh/F8jou6/d2UX2/WYwsOFwD7VDXlPKbxnqr+qqqHgC+AX1V1sTPNWXj+eQBQ1Wmqul9VU1R1NJ4vw0y3b4lIdTxfegNU9YSqrsPzpfBQJqPfD3yuqotU9RTwGlAcuBG4Hs+XxDj19Ebn4Pkyz0wj4CKgn3p6rydUdbmT/Rdn+idVdS/wOnBzLtpprqp+77RLPJ5CfeYyFwLaAi+qapKqbgamZjKtEap6UFW3A0sym1ZmRKQKcCfQy1m+v/AU8Y5eo/2uqu+pZzvqR0B1YIiz3Avx/Cjw3nnlc1X9WlVPArF4egjVgbuABGdaKaq6FvgYaO/12k9UdYV6ei4nVHWpqm50Hm8AZpC7Ns7MFFX90Wn3O3LIdAqoJSJl1NOjWpOL+fj6njyN5/1/CtgsnjURrZznsm0zP7RPDDBJVVeqaqqqTgVO4vmfMZmwwhYc9gMV5fw2yO/xun88k8el0h+IyDMiskVEDjmrRsoCFbOY7kXAAVU94jUsEaiWxbiJ6Q9UNQ3PL99qznO7VNX7rNw7sphndSAxs0IvIlVE5ENnFdVhYFo22TPzp9f9JLzaxUslPEXYO19mWX2ZVmYi8fRadzurng7i6b1V9hrnzPcPVc3yPfXOp6pHgQN42jwSaJw+H2de0cCFWS2biDQWkSXiWQ18CHic3LVxZrznkVOmtngKf6KzWvWGXMzHp/dEVY+r6suqWh/PD8uZwCwRqZBTPj+0TyTQ94z5Vcfz/plMWGELDt/h+YV2r79nJJ7taf2BDkB5VS2HZ1VU+raIMy8H8QdQQURKew2LAHZlMvk/8PyTps9L8PyD7sKzeqnaGds8qmcRcwcQkUWhf9nJWFtVy+BZrZrVdpRztRfPqsCLvYZlldUXZ7bpDjzvd0VVLefcyqjq1ecxj4x8IlIKqIDn/dgBLPOaTzn17P35RDb5pgOfAtVVtSyebURZfT7As/q5hNfjCzMZ58wfNFlmUtVVqnoPnkI/D0/R8RtVPYznc1USuCSnfOS+fXK6xMoOYPgZ8yuhqjPOd9lClRW2IOCsPnwBeFNE7hWREiJSWERaicjIPJ5daTxf2nuBcBF5ASjj9fweIEqcPddUdQfwLfCKiBRzNmp3wdNTOtNMoLWI3CoihfFsvzvpvP47IBV4SkTCReQePKscM/M9nkI4QkRKOvO9ySv/UeCQiFQDztq55nw5q//mAIOd9+JKMl/16qsz23Q3sBAYLSJlRCRMPDvFnM/qrDtFpImIFAGGAv/nvHf/AWqKyIPOZ6qwiDQUr516MlEaTy/9hIg0Ah7wem4vkAZ4H++3DmgmnuMrywIDc8iaZSYRKSKe49PKOquzDzvzy1Mi8rwzzyIiUgzPtt+DwE/Z5XNentv22QNc7Lw3mXkbeNzpCYrzmW99xo9J48UKW5BwtnX1AZ7D88+xA8/6/3l5PKsFwHw8O5ckAic4fTXRLOfvfhFJ37bRCc9G8T/w7PTwoqouzmQZfsLTgxqPZ2P7P4F/qmqyqibj2WGkC54vkH/h+QI5mcl0Up3XXoZnp4OdeLbfAbwE1MPTy/wcTwHyh6fwrKL9E/gAz3aUs7L6KLM2fQjPDjWbgb+B2UDVc07r6UW8iGcVZH087YuzCrklnu13f+BZnlfxbFfNSndgiIgcwfODK6PHpKpJwHBghbPa7HpVXYRnO+AG4Ac872uWfMj0IJDgrGp+HM9qwLymwHt4Pqd/4NkhqbWqHvUhX67aB/gKz44qf4rIvrOCqK4GugET8HwWfsGzw4nJgpy+ScOY/ENEVgL/VtX33M6SExF5FbhQVR/OceQAE5EpePYofc7tLMYEgvXYTL4hIjeLyIXOqsiH8ewqPd/tXJkRz3FM1zqrhhrh6WnOdTuXMcazZ5cx+cUVeFbblAR+A9o525vyo9J4Vj9ehGcbyWjgE1cTGWMAWxVpjDEmxNiqSGOMMSElKFZFVqxYUaOiogBITk6mSJGs9ooNbQV52dNZG1gbgLUBWBsA/PDDD/tUtdKZw4OisEVFRbF69WoAEhISSC9yBU1BXvZ01gbWBmBtANYGACKSmNlwWxVpjDEmpFhhM8YYE1KssBljjAkpVtiMMcaEFCtsxhhjQooVNmOM38XHxxMVFUVYWBhRUVHEx8e7HcmEsKDY3d8YE7zi4+OJiYkhKSkJgMTERGJiYgCIjvbHiflNQWc9NmOM36gq/fv3zyhq6ZKSkoiNjXUplQl11mMzxuSZ/fv38/3337Ny5UpWrlzJ999/z4EDBzIdd/v27QFOZwoKK2zGmHOSnJzMunXrMorYypUr+eWXX84aLywsjLS0sy9yXb169UDENAWQFTZjTI5Uld9+++20IrZ27VqSk5NPG69YsWLUr1+fxo0bZ9yWL19+2ja2dA0aNAjkIpgCxAqbMeYsf//991mrFPft23fWeFdeeeVpRax27doULlz4tHEiIyMBiI2NZfv27VSqVIm//vqLuXPnMn/+fO64446ALJMpOKywGVMAxMfHZxSWiIgIhg8fnrFHYnJyMhs2bDitN7Zt27azplGpUqXTiljDhg0pV66cT/OPjo4+bQ/IoUOH8sILLxAdHc0PP/xQ4E/ma/KWFTZjQlxmu9t37tyZadOmcejQIdasWcPJkydPe03RokWpV6/eaYUsKioKEcmTTLGxsaxcuZLPP/+cdu3asXz5cooVK5Yn0zbGCpsxIS42Nvas7VvJycnMnz8/43HNmjVPK2LXXnutX6/1FRYWxgcffEC9evX44Ycf6NmzJ5MmTfLb/EzBYoXNmBB26tQpEhMzvWQVAPPnz6dhw4ZUqFAhgKk8ypcvz8cff8yNN95IXFwcN9xwA4888kjAc5jQYwdoGxOiNmzYQOPGjbN8PjIykttvv92VopauXr16TJw4EYAnnniCdevWuZbFhA4rbMaEmFOnTjFkyBAaNGjA2rVrqVixIkWLFj1tnBIlSjB8+HCXEp6uc+fOdOnShRMnTtC2bVv+/vtvtyOZIGeFzZgQsn79eho1asSLL77IqVOn6N69O7///jvvvPMOkZGRiAiRkZHExcXlq/M0TpgwgXr16vHbb7/x0EMPZXpAtzG+ssJmTAjw7qWtW7eOqKgovvrqK958801KlSpFdHQ0CQkJpKWlkZCQkK+KGngO7J49ezbly5fnP//5DyNGjHA7kgliVtiMCXLevbSUlBS6d+/Oxo0bad68udvRcuWSSy5h2rRpiAjPP/88ixcvdjuSCVJW2IwJUqdOneKll17K6KVdcsklp/XSgtGdd97J888/T1paGp06dWLHjh1uRzJByAqbMUFo3bp1NGrUiMGDB5OSksKTTz7Jhg0bgq6XlpkXXniBli1bsm/fPtq3b3/WwePG5MQKmzFBJDk5mbFjx9KwYcPTemkTJkwI2l7amQoVKsT06dOJiIhg5cqV9OnTx+1IJshYYTMmSKT30saMGUNKSgpPPfVUyPTSznTBBRcwe/ZsihQpwsSJE5k2bZrbkUwQscJmTD6XnJzM4MGDadiwIevXr6d69eosWbKE8ePHh0wvLTMNGzZk3LhxAMTExLBx40aXE5lg4bfCJiJXiMg6r9thEeklIhVEZJGI/Oz8Le+vDMYEu/Re2ksvvZTRS/viiy+45ZZb3I4WEDExMTz88MMcP36ctm3bcujQIbcjmSDgt8Kmqj+pah1VrQPUB5KAucCzwJeqejnwpfPYGOMlOTmZF198MaOXVqNGDZYuXcr48eMpWbKk2/ECRkSYOHEi1157LT///DOPPvooqup2LJPPBWpV5K3Ar6qaCNwDTHWGTwXuDVAGY4LC2rVradiwIUOGDDltW9rNN9/sdjRXlChRgo8//piyZcsyd+5cRo0a5XYkk88F6uz+HYEZzv0qqrrbuf8nUCWzF4hIDBADUK1aNRISEgDYv3+/X4PmZwV52dOFchskJyfz5ptvMnHiRFJSUoiIiODVV1/l+uuvZ+/evezduxcI7TbISnh4OKNGjSImJoaBAwdStmxZbr/9drdjuaogfg58pqp+vQFFgH14ChrAwTOe/zunadSvX1/T/f7771pQFeRlTxeqbbBmzRq99tprFVBAn376aT169Gim44ZqG/hi4MCBCugFF1ygO3fudDuOqwry5yAdsFozqRmBWBXZClijqnucx3tEpCqA8/evAGQwJl9KTk7mhRdeoFGjRmzYsCFjW9q4ceMK1LY0Xw0dOpRbb72V/fv306FDB06dOuV2JJMPBaKwdeJ/qyEBPgUedu4/DHwSgAzG5Dtr1qyhQYMGDB06lJSUFHr06FGgt6X5Iv3g7QsvvJBvv/2Wfv36uR3J5EN+LWwiUhJoAczxGjwCaCEiPwO3OY+NCWnx8fFERUURFhZGZGQk9913H40aNWLjxo3UqFGDZcuWMXbsWOul+aBy5cpMnDiRwoULM3bsWD766CO3I5l8xq+FTVWPqeoFqnrIa9h+Vb1VVS9X1dtU9YA/Mxjjtvj4eGJiYkhMTERV2b59O/PmzSM1NTWjl9asWTO3YwaVunXr8vrrrwPQpUsXNm/e7HIik5/YmUeM8bPY2FiSkpLOGl6lShXrpZ2HJ598kgceeIBjx47Rtm1bjhw54nYkk09YYTPGz7Zv357p8L/+sv2mzoeIEBcXx9VXX83WrVvp0qWLHbxtACtsxvhdmTJlMh0eERER4CShp2TJksyZM4fSpUsza9YsxowZ43Ykkw9YYTPGj8aNG5fp+Q1LlCjB8OHDXUgUemrWrMmUKVMA6NevH9988427gYzrrLAZ4ycffPABPXv2BKBr165ERkYiIkRGRhIXF0d0dLTLCUNHmzZteOaZZ0hNTeX+++/nzz//dDuScVGgTqllTIHy6aef8uijjwIwevRou1hmALzyyiusWrWKZcuWcf/997N48WIKFy7sdizjAuuxGZPHlixZQocOHUhNTSU2NtaKWoCEh4fz4YcfUrVqVb7++msGDRrkdiTjEitsxuSh1atXc/fdd3Py5Em6d+/O0KFD3Y5UoFx44YXMnDmT8PBwXnvtNT7++GO3IxkXWGEzJo9s2bKFO+64g6NHj/LAAw8wfvx4RMTtWAVOkyZNMi5t8+ijj/LTTz+5nMgEmhU2Y/JAQkICLVq0YP/+/bRu3ZopU6YQFmb/Xm7p2bMnHTp04MiRI7Rt25Zjx465HckEkP3nGXOe9uzZQ4sWLdi1axdNmzZl5syZttOCy0SEyZMnc+WVV/Ljjz/SrVs3O3i7ALHCZsx5OHjwILfffju//PILdevW5bPPPqNEiRJuxzJA6dKlmTNnDiVLlmTGjBm8+eabbkcyAWKFzZhzlJSUxF133cX69eupWbMm8+fPp2zZsm7HMl6uuuoq3n33XQD69OnDd99953IiEwhW2Iw5B8nJybRt25YVK1Zw8cUXs2jRIipXrux2LJOJDh060KtXL06dOkXTpk0JCwsjKiqK+Ph4t6MZP7EDtI3JpdTUVB566CHmz59PxYoVWbRokZ33MZ+rW7cuYWFhpKamApCYmEhMTAyAnQEmBFmPzZhcUFWefPJJPvroI0qXLs2CBQu48sor3Y5lcvDCCy+QlpZ22rCkpCRiY2NdSmT8yQqbMbkwaNAgJk2aRLFixfjss8+oV6+e25GMD7K6dFBWw01ws8JmjI9GjhzJiBEjCA8PZ9asWdx8881uRzI+ympVsa1CDk1W2Izxwdtvv82AAQMQEaZOncpdd93ldiSTC8OHD8/0MIynn37ahTTG36ywGZODWbNm8dhjjwEwfvx4HnjgAZcTmdyKjo4mLi4u49JBJUuWBGDFihUuJzP+YIXNmGwsWLCA6OhoVJWhQ4fy5JNPuh3JnKPo6GgSEhJIS0tj27ZtlCxZkrlz57Js2TK3o5k8ZoXNmCx8++23tGnThlOnTtG7d2/bgy6EXHTRRQwYMADwHLh95h6TJrhZYTMmExs2bKB169YkJSXx6KOPMnr0aDtTf4jp27cv1apVY82aNUybNs3tOCYPWWEz5gy//PILLVu25ODBg9x3333ExcVZUQtBJUqU4JVXXgE8h3HYFQBChxU2Y7zs2rWLFi1asGfPHm699VamT59OeLidoCdURUdHU79+fXbt2sVrr73mdhyTR6ywGePYv38/LVu2JCEhgcaNGzNv3jyKFSvmdizjR2FhYbz++uuA5zjFXbt2uZzI5AUrbMYAR44coVWrVmzevJmrr76azz//nFKlSrkdywRAs2bNaNOmDUlJSTz33HNuxzF5wK+FTUTKichsEdkqIltE5AYRGSwiu0RknXO7058ZjMnJiRMnuPfee1m1ahVRUVEsXLiQCy64wO1YJoBeffVVChcuzNSpU1mzZo3bccx58nePbSwwX1WvBK4DtjjD31DVOs7tv37OYEyWUlJS6NSpE1999RUXXnghixcv5qKLLnI7lgmwyy67jB49eqCq9O3b1662HeT8VthEpCzQDHgHQFWTVfWgv+ZnTG6lpaXRtWtX5s2bR7ly5Vi4cCGXXnqp27GMS5577jkuuOACli5dyqeffup2HHMe/Lm71yXAXuA9EbkO+AHo6Tz3lIg8BKwG+qrq32e+WERigBiAatWqkZCQAHg28BdUBXnZ0+VVG6SfSWTq1KkUL16cd955h9KlS2d8zvIz+xz4rw2efvppBg8eTK9evbjqqqsoUqSIX+aTF+xzkA1V9csNaACkAI2dx2OBoUAVoBCe3uJw4N2cplW/fn1N9/vvv2tBVZCXPV1etcGQIUMU0MKFC+vChQvzZJqBYp8D/7VBcnKyXnHFFQromDFj/DKPvGKfA1VgtWZSM7JdFSkiF4vIMyLyiYisEpGvRWSiiLQWkZxWY+4EdqrqSufxbKCequ5R1VRVTQPeBhqdQz025pxNmDCBF154gbCwMKZPn06LFi3cjmTyicKFC2ccz/bSSy9x4MABlxOZc5FlcRKR94B3gWTgVaAT0B1YDNwBLBeRZlm9XlX/BHaIyBXOoFuBzSJS1Wu0+4BN57UExuTCtGnTMi5VEhcXR7t27VxOZPKb1q1bc+utt/L3338zZMgQt+OYc5DdNrbRqppZ0dkEzBGRIkBOV+l7Goh3xv0NeBQYJyJ1AAUSgMdyndqYXIiPjyc2Npbt27dn7O02atQounTp4nIykx+JCKNHj6Zu3bq8+eabdO/enZo1a7ody+RCdqsTD2f3QvXs5fhLDuOsU9UGqnqtqt6rqn+r6oOqWtsZdreq7j6n5Mb4ID4+npiYGBITEzOKWnh4OFWrVs3hlaYgu+666+jcuTMpKSn079/f7Tgml7IrbPPS74jIxwHIYkyei42NJSkp6bRhKSkpdgkak6Nhw4ZRsmRJPvnkE5YsWeJ2HJML2RU279OZ1/B3EGP8Yfv27bkabky6Cy+8kIEDBwKea7alpqa6nMj4KrvCplncNyZolCxZMtPhERE5bR42xlPQqlevzrp16/jggw/cjmN8lF1hu05EDovIEeBa5/5hETkiItlufzMmP/joo484evToWcNLlCjB8OHDXUhkgk3x4sXtmm1BKMvCpqqFVLWMqpZW1XDnfvrjMoEMaUxu/fzzz3Tr1g2Ahx56iMjISESEyMhI4uLiiI6OdjmhCRadOnWiYcOG7N69m5EjR7odx/jALltjQs6JEyfo0KEDR44coV27dkyZMoWEhATS0tJISEiwomZyxfuabaNGjWLnzp0uJzI5ye4A7fYiMk9E5opIx0CGMuZ89OnTh3Xr1lGjRg0mT56MiOT8ImOy0aRJE9q1a8fx48dtj9ogkF2PbQDQBmgL9AtMHGPOz0cffcRbb71FkSJFmDlzJmXLlnU7kgkRr776KkWKFOH9999n9erVbscx2ciusE0D3nduswITx5hz571d7fXXX6d+/fouJzKhpEaNGvTs6blAiV2zLX/LbueRMXhOd/W4qo4IXCRjcu/EiRO0b98+Y7ta9+7d3Y5kQtCgQYOoWLEiX3/9NfPmzcv5BcYV2W1jE1U9pqpn7y/tNY5/YhmTO71792b9+vVceumltl3N+E25cuV46aWXAOjXrx/JyckuJzKZyW5V5BIReVpETjuSVUSKiMg/RGQq8LB/4xmTsw8//JB///vftl3NBERMTAxXXXUVv/76KxMmTHA7jslEdoXtDiAVmCEif4jIZhH5DfgZzyVsxqjqlABkNCZL3tvV3njjDerVq+dyIhPqwsPDM67ZNmTIEPbt2+dyInOm7LaxnVDViap6ExCJ53pq9VQ1UlW7qeragKU0JhPp29WOHj1K+/bteeKJJ9yOZAqIVq1a0aJFCw4dOmTXbMuHfDpAW1VPqepuVT3o70DG+KpXr14Z29Xefvtt265mAib9mm1hYWFMnDiRrVu3uh3JeLEzj5igNGPGDCZNmmTb1YxrateuTZcuXUhNTbVrtuUzVthM0Nm2bRsxMTEAjBkzxrarGdcMHTqUUqVK8dlnn/Hll1+6Hcc4fCpsIhIpIrc594uLSGn/xjImc+nngTx69CgdOnTg8ccfdzuSKcCqVKnCoEGDAM9B23bNtvwhx8ImIt2A2cAkZ9DFeF1d25hAGjp0qG1XM/lKr169iIiIYP369UydOtXtOAbfemxPAjcBhwFU9Wegsj9DGZOZGTNmMH36dIoUKcKsWbMoU8aunmTcV7x4cUaM8JycKTY2liNHjricyPhS2E6qasbh9SISjl1R2wTYTz/9dNp2tbp167qcyJj/6dixI40bN+bPP/+0a7blA74UtmUiMggoLiIt8JwQ+TP/xjLmf44fP56xXe2uu+6y7Wom3xGRjGu2vfbaa+zYscPlRAWbL4VtALAX2IjnpMj/BZ7zZyhjvPXq1YsNGzZw2WWX8fLLL9t2NZMv3XjjjXTo0IETJ05k7FBi3JFtYRORQsAWVX1bVdurajvnvq2KNAExffp04uLiKFq0KDNnzqR0adsh1+Rfr776KkWLFmXatGmsWrXK7TgFVraFTVVTgZ/OPBGyMYHw008/8dhjjwG2Xc0Eh6ioKHr16gV4ruRufQB3+LIqsjzwo4h8KSKfpt/8HcwUbN7b1e6///6MAmdMfjdw4EAqVarE8uXLmTNnjttxCiRfCtvzwF3AEGC01y1HIlJORGaLyFYR2SIiN4hIBRFZJCI/O3/Ln3t8E6p69uzJhg0buPzyy4mLi7PtaiZolC1bNuPEyP379+fkyZMuJyp4cixsqross5uP0x8LzFfVK4HrgC3As8CXqno58KXz2JgM8fHxvP322xnb1ex4NRNsunbtSq1atfjtt98YP36823EKHF/OPHJERA47txMikioih314XVmgGfAOgKomO1cHuAdIPzx/KnDvucc3ocZ7u9rYsWOpU6eOy4mMyb3w8HBGj/as2Bo6dCh79+51OVHBEp7TCKqasRuaeNYH3QNc78O0L8FzmMB7InId8APQE6iiqrudcf4EqmT2YhGJAWIAqlWrRkJCAgD79+/3YdahKdSX/cSJE9x7770cO3aMf/7zn7Rs2TLjfU8X6m3gC2uD4GiDK/svcb8AAB+wSURBVK+8kmbNmvH111/Tt2/fPL9uWzC0gWtUNdc3YK0P4zQAUoDGzuOxwFDg4Bnj/Z3TtOrXr6/pfv/9dy2oQn3Zu3XrpoBefvnleujQoUzHCfU28IW1QfC0wcaNGzUsLEwLFSqkmzdvztNpB0sb+BOwWjOpGb6simzjdWsnIiOAEz7UzJ3ATlVd6TyeDdQD9ohIVWfaVYG/fK7CJmR5b1ez80CaUHHNNdcQExNDamoq/fr1cztOgeHLXpH/9LrdDhzBszoyW6r6J7BDRK5wBt0KbAY+BR52hj0MfJLLzCbEbN26NWO72rhx47juuutcTmRM3nnppZcoXbo0n3/+OYsWLXI7ToHgS2GbrKqPOrduqjocuNzH6T8NxIvIBqAO8DIwAmghIj8DtzmPTQGVlJRE+/btOXbsGJ06daJbt25uRzImT1WuXJnY2FgAWrduTVhYGFFRUcTHx7ucLHTluPMIMB7PKsSchp1FVdfh2dZ2plt9mK8pAHr27MmmTZu4/PLLmTRpkh2vZkJSlSpVEBFOnToFQGJiYsbVKqKjo92MFpKyLGwicgNwI1BJRPp4PVUGKOTvYCb0TZs2jcmTJ1OsWDFmzZpl54E0IWvw4MFnnV4rKSmJ2NhYK2x+kF2PrQhQyhnH+xvnMNDOn6FM6Nu6dWvG5Wdsu5oJddu3b8/VcHN+sixs6jm7yDIRmaKqiQHMZEKc93a1Bx54gK5du7odyRi/ioiIIDHx7K/RiAg7v7w/+LLzSJKIjBKR/4rIV+k3vyczIatHjx5s2rSJmjVr8u9//9u2q5mQN3z4cEqUKHHasEKFCjF8+HCXEoU2XwpbPLAVz5lEXgISALvQkDknH3zwAe+8845tVzMFSnR0NHFxcURGRiIiiAipqalUqFDB7WghyZfCdoGqvgOcUs8JkDsD//BzLhNC4uPjiYqKIiwsjIcf9hzCOG7cOK699lqXkxkTONHR0SQkJJCWlsbIkSMB6N27N8nJyS4nCz2+FLZTzt/dItJaROoC9jPD+CQ+Pp6YmBgSExMzTndTqFChs1bLGFOQ9OjRg5o1a/LTTz8xYcIEt+OEHF8K2zDnTP19gWeAyUBvv6YyISM2NpakpKTThqWmpmYcsGpMQVSkSBHeeOMNwHNmkj179ricKLRkW9hEpBBwuaoeUtVNqtpcVeurql1B2/jEdnM2JnN33nknd955J4cPH7Yfenks28KmqqlApwBlMSGoSpVMr0pkuzkbA7zxxhsULlyYd999lx9++MHtOCHDl1WRK0Rkgog0FZF66Te/JzNB78CBA6SkpJw1vESJErabszFAzZo16dmzJ6pKjx49zjo7iTk3vhS2OsDVwBBgtHN7zZ+hTPBLS0vjwQcfZN++fVxyySVUr14dESEyMpK4uDg7jZAxjueff54qVarw7bffMn36dLfjhARfrqDdPBBBTGgZNmwY//3vf6lQoQJLliwhMjLS7UjG5EtlypThlVdeoXPnzvTv35977rmHUqVKuR0rqPlyodEqIvKOiHzhPK4lIl38H80EqwULFjB48GBEhOnTp1tRMyYHDz/8MA0bNuSPP/7glVdecTtO0PNlVeQUYAFwkfN4G9DLX4FMcEtMTOSBBx5AVRk8eDC3336725GMyffCwsIYN24cAKNHj+a3335zOVFw86WwVVTVmUAagKqmAKl+TWWC0smTJ2nXrh0HDhygVatWPPfcc25HMiZoXH/99Tz44IOcPHmSvn37uh0nqPlS2I6JyAWAAojI9cAhv6YyQalnz56sXr2aqKgopk2bRliYLx8vY0y6ESNGULJkSebNm8fixYvdjhO0fPnm6QN8ClwqIiuA94Gn/ZrKBJ2pU6cyadIkihYtyuzZs+3krsacg4suuijjYO2ePXtmXHHb5E6OhU1V1wA347ma9mPA1aq6wd/BTPBYv359xkVDJ0yYQP369V1OZEzw6t27NzVq1GDz5s289dZbbscJSr7sFVkM6AEMxXPZmiedYcZw8OBB2rZty4kTJ+jcubNdNNSY81SsWDFef/11AF588UX27t3rcqLg48uqyPfxHKA9Hpjg3P/An6FMcEhLS+Ohhx7i119/pW7dunaWcmPyyN13302LFi04ePAgzz//vNtxgo4vhe0aVe2iqkucWzc8xc0UcK+++iqfffYZ5cqVY/bs2RQvXtztSMaEBBFhzJgxFCpUiLi4ONatW+d2pKDiS2Fb4+wJCYCINAZW+y+SCQZffvllxu7806ZNo0aNGi4nMia01KpVi6eeesrOI3kOfCls9YFvRSRBRBKA74CGIrJRRGwnkgJo586ddOrUibS0NJ577jlat27tdiRjQtLgwYOpWLEi33zzDTNnznQ7TtDwpbDdAVyCZ8/Im537dwB3Af/0XzSTHyUnJ9O+fXv27t1LixYtGDx4sNuRjAlZ5cqVy7gSRr9+/c66aK/JnC+7+ycCh4GywAXpN1VNdJ4zBUjfvn35v//7P6pXr8706dMpVKiQ25GMCWldunShbt267Nixg5EjR7odJyj4srv/UGADMI5cXrbGWX25UUTWichqZ9hgEdnlDFsnIneeR34TQPHx8UyYMIEiRYowe/ZsKlas6HYkY0JeoUKFGDt2LODZYSsx0foTOfFlVWQH4FJVvUVVmzu3f+RiHs1VtY6qNvAa9oYzrI6q/jd3kY0bNm3aRExMDABjx46lUaNGLicypuBo2rQpHTt25MSJE/Tr18/tOPmeL4VtE1DO30FM/nX48GHatm1LUlISDz74II899pjbkYwpcEaOHEnx4sWZNWsWS5cudTtOvpbjhUaBV4C1IrIJOJk+UFXv9uG1CiwUEQUmqWqcM/wpEXkIz2EDfVX17zNfKCIxQAxAtWrVSEhIAGD//v0+zDY0ubHsqkr37t3Ztm0bV1xxBQMHDnR1VUhBfv/TWRsU3DZ4/PHHeeONN3jiiSeYMmWK23HyL1XN9gb8iOeUWs35356RN+f0Oue11Zy/lYH1QDOgClAIT29xOPBuTtOpX7++pvv999+1oHJj2UeNGqWAlilTRrdt2xbw+Z+pIL//6awNCm4bJCUlaVRUlAI6dOhQt+O4DlitmdQMX1ZFJqnqOPWcdWRZ+s3HornL+fsXMBdopKp7VDVVVdOAtwHbWJNPLVu2jGeffRaA999/n8svv9zlRMYUbMWLF+e11zz77o0ePZoDBw64nCh/8qWwfSMir4jIDSJSL/2W04tEpKSIlE6/D7QENolIVa/R7sOzDc/kM3/88Qf3338/qampPPvss9xzzz1uRzLGAG3atKF58+YcPHiQF1980e04+ZIv29jqOn+v9xqmQE57RlYB5opI+nymq+p8EflAROo400jAcykck4+cOnWKDh06sGfPHpo3b87QoUPdjmSMcYgIY8eOpU6dOrz11ls89thjXHPNNW7HyldyLGyq2vxcJqyqvwHXZTL8wXOZngmcAQMGsGLFCi666CI+/PBDwsN9+f1jjAmU2rVrEx0dzQcffEDPnj1ZvHgxTifC4NsB2lVE5B0R+cJ5XEtEuvg/mnHDzJkzeeONNwgPD2fWrFlUrlzZ7UjGmEz07t2b8uXL89VXXzF37ly34+QrvmxjmwIsAC5yHm8DevkrkHHPli1b6Ny5MwCvv/46N954o8uJjDFZKV++fMZmgr59+3L8+HGXE+UfWRY2EUlf/1RRVWcCaQCqmgKkBiCbCaAjR47Qpk0bjh07RqdOnXjqqafcjmSMycFjjz1G7dq1SUhIYPTo0W7HyTey67F97/w9JiIX4NnZA+fabIf8HcwEjqrStWtXtm7dSq1atYiLi7P19cYEgfDw8IzzSL7yyivs3LnT5UT5Q3aFLf2brQ/wKXCpiKwA3gee9ncwEzjjxo1j5syZlCpVijlz5lCqVCm3IxljfNS8efOMU97179/f7Tj5QnaFrZKI9AFuwXNw9UjgCzwHVd/m/2gmEFasWMEzzzwDwHvvvccVV1zhciJjTG699tprFCtWjBkzZrB8+XK347guu8JWCCgFlAZK4jk0oBBQwhlmgtyePXto3749KSkp9O3bl3bt2rkdyRhzDqKiojLO+t+jRw9SUwv2bhDZHaC0W1WHBCyJCaiUlBQ6duzI7t27adq0Ka+88orbkYwx52HAgAG89957rF27lvfee4+uXbu6Hck1vmxjMyFo0KBBLF26lAsvvJCPPvqIwoULux3JGHMeSpYsyahRowDP//fBgwddTuSe7ArbrQFLYQJqzpw5jBo1ikKFCjFz5kyqVq2a84uMMfne/fffT9OmTdm7dy9DhhTcFW5ZFjZVtdNGh6Bt27bxyCOPAJ4LFzZt2tTdQMaYPJN+HkkRYfz48WzZssXtSK7w5cwjJkQcO3aMtm3bcuTIEdq1a0fv3r3djmSMyWN169alW7dupKSk0Lt37/RrYxYoVthCXHx8PFFRUYSFhVG5cmU2bdrEFVdcwbvvvmsHYRsTooYNG0bZsmVZsGAB//nPf9yOE3BW2EJYfHw8MTExJCYmoqokJSUB0LlzZ0qXtiM2jAlVlSpV4qWXXgI8J0s+efKky4kCywpbCIuNjc0oZt4mTpzoQhpjTCB1796dWrVq8euvvzJmzBi34wSUFbYQtn379lwNN8aEjsKFC2cUtGHDhrF7926XEwWOFbYQVrFixUyHR0REBDiJMcYNLVq04J577uHo0aM8++yzbscJGCtsIWrKlCns27fvrOElSpRg+PDhLiQyxrhh9OjRFClShPfff5+VK1e6HScgrLCFoNdee41HH30UVeXee+8lIiICESEyMpK4uDiio6PdjmiMCZBLL72UPn36APD000+TlpbmciL/s8IWQlSVAQMGZJwMdezYscydO5fExETS0tJISEiwomZMATRo0CCqVq3KqlWreP/9992O43dW2EJESkoKXbt2ZeTIkYSHhzNt2jR69OjhdixjTD5QunRpXn31VQC6dOlCWFgYUVFRxMfHu5zMP7I7u78JEidOnKBTp07MmzeP4sWLM3v2bO688063Yxlj8hERISwsLGNVZGJiIjExMQAhtybHemxB7vDhw7Rq1Yp58+ZRrlw5Fi1aZEXNGHOW55577qzta0lJScTGxrqUyH+sxxbE9uzZQ6tWrVi7di1Vq1ZlwYIF1K5d2+1Yxph8qCAd12o9tiCVkJBAkyZNWLt2LZdddhkrVqywomaMyVJWx68WL16cEydOBDiNf1lhC0KbNm3ixhtv5JdffqFu3bosX76cSy65xO1Yxph8bPjw4ZQoUeKs4UlJSdx+++38/fffLqTyD78WNhFJEJGNIrJORFY7wyqIyCIR+dn5W96fGULNt99+S9OmTdm9ezc333wzS5YsoUqVKm7HMsbkc9HR0cTFxREZGZlxXOvLL7/MRRddxNdff03Tpk3ZsWOH2zHzRCB6bM1VtY6qNnAePwt8qaqXA186j40PlixZwm233cbBgwe59957mT9/PmXLlnU7ljEmSERHR5OQkJBxXOvAgQP57rvvqFWrFj/++CM33HADGzdudDvmeXNjVeQ9wFTn/lTgXhcyBJ30S9AcP36czp07M2vWLIoVK+Z2LGNMkIuIiGD58uU0bdqUXbt20aRJE5YsWeJ2rPPi78KmwEIR+UFEYpxhVVQ1/TTTfwK2Hi0H48aN41//+hcpKSn079+fyZMnEx5uO7QaY/JG+fLlWbhwIe3bt+fw4cPcfvvtfPjhh27HOmf+/nZsoqq7RKQysEhEtno/qaoqIplet9wphDEA1apVIyEhAYD9+/f7N3E+oqq8/vrrTJgwAYCePXvyxBNPkJiY6HIy9xSk9z8r1gbWBuCfNhgxYgSlS5fm3XffpVOnTmzcuJGuXbsiInk+L3/ya2FT1V3O379EZC7QCNgjIlVVdbeIVAX+yuK1cUAcQIMGDTQqKirjOe/7oSo1NZUnn3ySSZMmUahQISZPnswtt9xSIJY9J9YG1gZgbQD+aYN33nmHq6++mr59+/Lyyy9z7NgxRo8eTaFChfJ8Xv7it1WRIlJSREqn3wdaApuAT4GHndEeBj7xV4ZgdfLkSTp16sSkSZMoWrQoc+bM4ZFHHnE7ljGmgOjTpw8zZsygcOHCjB07lo4dOwbVsW7+7LFVAeY6XdhwYLqqzheRVcBMEekCJAId/Jgh6Bw5coQ2bdqwePFiypQpw2effUazZs3cjmWMKWA6duxIlSpVuO+++5g9ezZ79uzhk08+oXz5/H+Elt8Km6r+BlyXyfD9wK3+mm8w27dvH3feeSerVq2icuXKLFiwgDp16rgdyxhTQDVv3pxvvvmGVq1a8c0333DTTTcxf/78LM9ikl/YmUfyie3bt9O0aVNWrVrFJZdcwooVK6yoGWNcV7t2bb777juuvvpqtmzZwg033MD69evdjpUtK2z5wJYtW7jpppvYunUrtWvXZsWKFVx22WVuxzLGGACqV6/O8uXLufnmm/njjz9o2rQpX375pduxsmSFzWXff/89TZs2ZefOndx0000sW7aMqlWruh3LGGNOU65cORYsWECHDh04cuQIrVq1Yvr06W7HypQVNhctWrSIf/zjH+zfv5/WrVuzcOHCoNgwa4wpmIoWLcqMGTPo06cPp06dIjo6mpEjR6Ka6eHIrrHC5pKZM2fSunVrjh07xoMPPsjcuXMzPfO2McbkJ2FhYYwePZrXX38dgAEDBtCzZ09SU1NdTvY/Vthc8NZbb9GxY0dOnTpF7969mTJlCoULF3Y7ljHG+Kx379589NFHFClShPHjx9OhQweOHz/udizAClvAxMfHZ1wuonv37qgqL7/8MqNHjyYszN4GY0zw6dChAwsXLqRs2bLMmTOHli1bcuDAAbdjWWELhPQz83tfgr1IkSJEREQE3TnYjDHG280338zy5cu5+OKLWb58OU2aNHH9fLZW2AKgf//+JCUlnTYsOTmZ2NhYlxIZY0zeueaaa/juu++oXbt2xrFu69atcy2PFTY/Sk5OZtiwYfzxxx+ZPu/dgzPGmGB28cUX880339C8eXN2795Ns2bNWLx4sStZrLD5yapVq2jQoAHPP/98luPk99PSGGNMbpQtW5YvvviCjh07ZhzrNm3atIDnsMKWx44dO0bfvn25/vrr2bhxIzVq1GDgwIFn7cpfokQJhg8f7lJKY4zxj6JFixIfH88zzzxDSkoKDz74ICNGjAjosW5W2PLQ4sWLqV27dsbxHc888wwbN27k5ZdfJi4uLmOvyMjISOLi4oiOjnY5sTHG5L2wsDBGjRrFmDFjEBEGDhzI008/HbBj3ayw5YG///6bzp0706JFC37//XeuvfZaVq5cyahRozJ6atHR0SQkJJCWlkZCQoIVNWNMyOvZsyczZ86kaNGivPnmm1x//fVEREQQFhZGVFQU8fHxfpmvX6+gHepUlY8//pinnnqKPXv2UKRIEV588UX69etnB1wbYwzQrl07KleuzB133MHq1aszhicmJhITEwOQ5z/0rcd2jv744w/atGlD+/bt2bNnD02aNGH9+vUMGjTIipoxxnhp1qwZ5cqVO2t4UlKSXw57ssKWS6rK22+/Ta1atZg3bx6lS5dm4sSJLFu2jCuvvNLteMYYky/9+eefmQ73x2FPtioyF3755Re6devG0qVLAbjrrruYOHEi1atXdzeYMcbkcxEREZmekcQfhz1Zj80HKSkpjBw5ktq1a7N06VIqVarEjBkz+PTTT62oGWOMD4YPHx6ww56ssOVg3bp1NG7cmAEDBnDixAkefPBBNm/eTMeOHe08j8YY46Po6OiAHfZkqyKzcPz4cYYMGcKoUaNITU0lIiKCSZMmcccdd7gdzRhjglJ0dHRADnWywpaJr7/+mq5du/Lzzz8jIvTo0YNhw4ZRunRpt6MZY4zJgRU2L4cOHWLAgAFMmjQJgFq1ajF58mRuuOEGl5MZY4zxlW1jc3z66adcffXVTJo0icKFC/Piiy+yZs0aK2rGGBNkCnyPbc+ePfTo0YOZM2cC0LhxYyZPnsw111zjcjJjjDHnosD22FSVqVOnctVVVzFz5kxKlCjBmDFjWLFihRU1Y4wJYgWyx5aQkMBjjz3GwoULAWjZsiWTJk0iKirK3WDGGGPOm997bCJSSETWish/nMdTROR3EVnn3Or4O0N8fDxRUVGEhYVRoUIFatasycKFC6lQoQJTp05l/vz5VtSMMSZEBKLH1hPYApTxGtZPVWcHYN7Ex8cTExNDUlIS4LnEDMD111/PvHnzqFKlSiBiGGOMCRC/9thE5GKgNTDZn/PJTmxsbEZR87Z7924rasYYE4L83WMbA/QHzjyyebiIvAB8CTyrqifPfKGIxAAxANWqVSMhIQGA/fv35ypAVmeO3r59e8Y0g0Vulz0UWRtYG4C1AVgbZMdvhU1E7gL+UtUfROQWr6cGAn8CRYA4YAAw5MzXq2qc8zwNGjRQ721gudkelt0ZpYNxu1owZs5r1gbWBmBtANYGWfHnqsibgLtFJAH4EPiHiExT1d3qcRJ4D2jkxwwBPaO0McYY9/mtsKnqQFW9WFWjgI7AV6r6LxGpCiCeU+PfC2zyVwYI7BmljTHGuM+N49jiRaQSIMA64HF/zzBQZ5Q2xhjjvoAUNlVdCix17v8jEPM0xhhTMBXYU2oZY4wJTVbYjDHGhBQrbMYYY0KKFTZjjDEhRVTV7Qw5EpG9QPpR1hWBfS7GcVNBXvZ01gbWBmBtANYGAJGqWunMgUFR2LyJyGpVbeB2DjcU5GVPZ21gbQDWBmBtkB1bFWmMMSakWGEzxhgTUoKxsMW5HcBFBXnZ01kbWBuAtQFYG2Qp6LaxGWOMMdkJxh6bMcYYkyUrbMYYY0JKvi1sInLU7QyBJiIqItO8HoeLyF4R+Y+buQKloC9/ZnL6PxCRpSISkrt8i0isiPwoIhtEZJ2INHY7U6A4/wujvR4/IyKDXYwUVPJtYSugjgHXiEhx53ELYFduJiAiblyKKK+c9/Kb0CAiNwB3AfVU9VrgNmCHu6kC6iTQRkQquh0kGOXrwiYipUTkSxFZIyIbReQeZ3iUiGwRkbedX3QLvb4Mg91/gdbO/U7AjPQnRKSRiHwnImtF5FsRucIZ/oiIfCoiXwFfBj5ynjqX5f9aROp4jbdcRK4LaGo/EpFbvHutIjJBRB5xMVIgVAX2qepJAFXdp6p/iEh9EVkmIj+IyAKvCxcvFZGxTs9uk4g0cjX9+UvBs9dj7zOfcL7/vnJ6sl+KSISIlBWRRBEJc8YpKSI7RKRwoIPnB/m6sAEngPtUtR7QHBjtXHkb4HLgTVW9GjgItHUpY177EOgoIsWAa4GVXs9tBZqqal3gBeBlr+fqAe1U9eaAJfWPc1n+d4BHAESkJlBMVdcHLLHxh4VAdRHZJiITReRm50t6PJ7PeX3gXWC412tKqGodoLvzXLB7E4gWkbJnDB8PTHV6svHAOFU9hOfCzen//3cBC1T1VMDS5iP5fbWVAC+LSDMgDagGVHGe+11V1zn3fwCiAh8v76nqBhGJwtNb+e8ZT5cFporI5YAC3r/GFqnqgYCE9KNzXP5ZwPMi0g/oDEwJSFjjN6p6VETqA03x/Kj9CBgGXAMscn7fFgJ2e71shvPar0WkjIiUU9WDgU2ed1T1sIi8D/QAjns9dQPQxrn/ATDSuf8RcD+wBOgITAxQ1Hwnvxe2aKASUF9VT4lIAlDMee6k13ipQKisigT4FHgNuAW4wGv4UGCJqt7nfPkv9XruWICyBUKull9Vk0RkEXAP0AGoH8CsgZDC6WtXimU1YihR1VQ87/FSEdkIPAn8qKo3ZPWSHB4HozHAGuA9H8b9FE9HoAKe/4Gv/BksP8vvqyLLAn85Ra05EOl2oAB5F3hJVTeeMbws/9uZ4pGAJgqsc1n+ycA4YJWq/u3feAGXCNQSkaIiUg641e1A/iYiVzg983R1gC1AJWfHEkSksIhc7TXO/c7wJsAhZ/VcUHPWwswEungN/hZPjww8P/6/ccY9CqwCxgL/cX4YFEj5srA5e/adxLP+uIHza+0hPNtYQp6q7lTVcZk8NRJ4RUTWkv972+fsXJZfVX8ADuPbL9ugkP5/oKo78Hy5bXL+rnU1WGCUwrPaebOIbABq4dmu2g54VUTW49mmdKPXa044n41/c3ohCHaj8VyiJt3TwKNOuzwI9PR67iPgX87fAitfnlLL2aPtbVUN9j2bTICIyEV4VltdqappLsfJE/Z/4DsRWQo8o6qr3c5i3Jfvemwi8jiejcDPuZ3FBAcReQjP3pOxIVTU7P/AmHOUL3tsxhhjzLnKdz02Y4wx5nxYYTPGGBNSrLAZY4wJKVbYjHGB5PGVDESknIh093p8y7lOy5hgZ4XNGHfk9ZUMyuE5R6IxBZ4VNmPck92VDCqIyDznDO7/JyLXOsMHi8i7ztnsfxORHs5LRgCXOme3H+UMKyUis0Vkq4jEe51A3JiQZoXNGPdkdyWDl4C1zhncBwHvez13JXA70Ah40Tnr/bPAr6paR1X7OePVBXrhOWtHDeAmfy6MMfmFFTZjXKKqG/BclSKzKxk0wXPmdlT1K+ACESnjPPe5qp5U1X3AX/zvihdn+t45PVkantNPReXtEhiTP4Xs+QaNCRJZXckgO2de2SKr/2NfxzMmpFiPzRh3ZXUlg2/wnLkdEbkFz9WkD2cznSNAab8kNCbI2C84Y1ykqjvxXG7nTIOBd50zuCcBD+cwnf0iskJENgFfAJ/ndVZjgoWdK9IYY0xIsVWRxhhjQooVNmOMMSHFCpsxxpiQYoXNGGNMSLHCZowxJqRYYTPGGBNSrLAZY4wJKf8P7XIXiO9lzfQAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":295},"id":"Pim8o6wrnpeJ","executionInfo":{"status":"ok","timestamp":1605739697992,"user_tz":480,"elapsed":3420,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}},"outputId":"8d982464-90a2-4ca8-b5fb-acc0b9178970"},"source":["# Interpolation to 1st of each month\n","start_months = np.array([datetime(2020,mo,1) for mo in np.arange(1,13)])\n","interp_func = interpolate.interp1d(mdates.date2num(mid_months),high_t,\n"," fill_value='extrapolate',bounds_error=False)\n","high_t_interpolated = interp_func(mdates.date2num(start_months))\n","\n","# Plot interpolated data\n","plt.figure(figsize=(7,4))\n","plt.plot(mid_months,high_t,c='k',lw=2,zorder=2,label='Original')\n","plt.scatter(mid_months,high_t,c='k',zorder=3)\n","plt.plot(start_months,high_t_interpolated,c='green',ls='--',lw=2,zorder=4,label='Interpolated')\n","plt.scatter(start_months,high_t_interpolated,c='green',zorder=5)\n","plt.ylabel('Temperature (°F)')\n","plt.xlabel('Month')\n","plt.title('Climatological high temperatures in Seattle')\n","plt.legend()\n","plt.grid(alpha=0.5)\n","plt.gca().xaxis.set_major_formatter(mdates.DateFormatter('%b'))"],"execution_count":13,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"M6r_q2mLiyGR","executionInfo":{"status":"ok","timestamp":1605739697993,"user_tz":480,"elapsed":3419,"user":{"displayName":"Ethan C Campbell","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjCBYTiuomqOsCakND1k_5wj0kYvFY53Jt7kunt=s64","userId":"11255944928409084259"}}},"source":[""],"execution_count":13,"outputs":[]}]}