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@danjgale
Created September 23, 2015 21:40
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# USA - Canada Border Crossing and Exchange Rate\n",
"Daniel J Gale, 2015\n",
"\n",
"Welcome! Here is the Ipython/Jupyter Notebook for the Border Crossing and Canadian Dollar project. This project is entirely written in Python, and integrates Google Big Query (GBQ) for part of the data storage and access. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Background\n",
"\n",
"After a fairly [dismal summer](http://www.theglobeandmail.com/report-on-business/top-business-stories/death-of-the-canadian-dollar-the-five-stages-of-grief/article25817008/) for the Canadian dollar (CAD), I became interested in how this affected border traffic. I personally love going on road trips in the US and the dollar is a factor for when I go down. So naturally, I decided to investigate: is there a relationship between border crossings and the CAD?\n",
"\n",
"I took a look at Statistics Canada's database and found datasets on [incoming border traffic](http://www5.statcan.gc.ca/cansim/a26?lang=eng&retrLang=eng&id=4270002&tabMode=dataTable&srchLan=-1&p1=-1&p2=9) and [exchange rates](http://www5.statcan.gc.ca/cansim/a26?lang=eng&retrLang=eng&id=1760064&pattern=Exchange&tabMode=dataTable&srchLan=-1&p1=1&p2=50). The monthly data ranges from January 1972 to June 2015. Unfortunately at the time of this writing, I could not find a dataset that has data on Canadians leaving Canada. Thus, for this analysis, I only looked the number of US vehicles entering Canada ('Monthly US Border Influx'). We would expect that when the CAD is low, there would be more influx; therefore, a negative relationship. \n",
"\n",
"Here, I explore the relationship with some regression models in Python. Enjoy! "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data Setup and Preliminary Analyses"
]
},
{
"cell_type": "code",
"execution_count": 136,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Import modules and setup path\n",
"from __future__ import division\n",
"import os\n",
"os.chdir('C:\\Users\\Dan\\Documents\\Data Projects\\Border Crossing and Exchange')\n",
"import math\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"from scipy import interpolate, stats\n",
"import seaborn as sns\n",
"import sklearn\n",
"from sklearn import cross_validation\n",
"from sklearn.linear_model import LinearRegression, Ridge\n",
"from sklearn.pipeline import make_pipeline\n",
"import statsmodels.formula.api as sm\n",
"import statsmodels.tools.tools as sm_tools"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Border Crossing Data\n",
"\n",
"Here, we import data stored on GBQ (for the sake of this project). By a simple query, we can eliminate a lot of cleaning and setup. The query gets only data about total USA vehicles entering Canada, regardless of location, length of stay, or mode of transportation. This table is stored as a pandas DataFrame object. "
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Job not yet complete...\n"
]
}
],
"source": [
"project_id = 'xxxxxxxxxxx'\n",
"query = ''' SELECT Ref_Date, Value\n",
" FROM [border_crossing.crossings]\n",
" WHERE GEO = 'Canada' AND \n",
" MODE = 'Mode of transportation, total' AND\n",
" STAY = 'Length of stay, total' AND\n",
" TRIP = 'Total United States vehicles entering' '''\n",
"from_us = pd.io.gbq.read_gbq(query, project_id = project_id)\n",
"\n",
"# Organize dataframe. Convert Values to float, and set date as index. Create Month, Year, and Z score columns for later analyses.\n",
"def float_convert(value):\n",
" \"\"\"Convert value to float. If an error occurs the leave as a NaN\"\"\" \n",
" try:\n",
" float(value)\n",
" return float(value)\n",
" except ValueError:\n",
" return np.nan\n",
"\n",
"from_us.Value = from_us.Value.apply(float_convert)\n",
"from_us.Ref_Date = pd.to_datetime(from_us.Ref_Date, format = '%Y/%m') \n",
"from_us = from_us.set_index('Ref_Date', drop = True)\n",
"from_us.loc[:, 'Month'] = from_us.index.month\n",
"from_us.loc[:, 'Year'] = from_us.index.year\n",
"\n",
"def monthly_crossings(df):\n",
" ''' Compute monthly z scores for dataframe, df.'''\n",
" zscore = lambda x: (x - x.mean()) / x.std() \n",
" return df.groupby('Month').Value.transform(zscore)\n",
"\n",
"from_us.loc[:, 'z'] = monthly_crossings(from_us)"
]
},
{
"cell_type": "code",
"execution_count": 138,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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W0UQbc5+5BI8yxvx58Dh9jFIIAil0avHKOiO4IBCCx4AoeIsHN8O+EHDBaiH2Bec4N9GS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Mr3cbBwnfzXr1zgb3zKCc5t8dttEUfVm0WEWUTwGt6RHpfKwoi5B7qwA2EBSuP2LOEDcbutATF4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\nbdbec3sbB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rkF9IVEJdQqti3FYeNiY8akrBE1KQZNT8xIjz9Xcsu3YSlaYfUuZtEqfdES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\nROAJgiAIgiAcMv5/F6zaB4CideoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x24da0710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"\n",
"# View US vehicle border entry over time\n",
"f1 = plt.figure(1, figsize=(10, 8))\n",
"plt.plot(from_us.index.values, from_us.Value, color = 'dodgerblue')\n",
"plt.ylabel('Monthly US Border Influx')\n",
"plt.xlabel('Time (Years)')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the above figure, it's evident that border crossings rose quite a bit in the late 1990's and early 2000's. However, this figure is somewhat difficult to interpret due to the large variations of crossings within a year. Lets see the monthly distributions of US Border Influx and normalize each month via *z*-scores; doing so will allow us to see how a particular month of a given year compares to that month's influx for all years. This will give a clearer representation of influx trends because now we can tell if months are have greater or lesser influx. "
]
},
{
"cell_type": "code",
"execution_count": 139,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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y4Jr6x/YvuA+pbJ/4xA1MTh45etyukCctJgY8qUQTy1fy4GmXdrqMo8qYb6Tu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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2501dda0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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eKrjsi5ajJYYnyxrOn7UilV/YnregMY75gLyoYUDtpSi3TVAOm+twifthDhdV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dqysMsYI3fltBZc0c+hH2ew1N2rVmtZaEXscq2lnDdzVb/ubYvL72o7wP3zymWrFpU4TRtt1HAA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\nlfIFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2501d320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# View monthly distributions and see differences\n",
"f2 = plt.figure(2, figsize=(10, 8))\n",
"sns.boxplot('Month', 'Value', data = from_us, color = 'dodgerblue')\n",
"plt.ylabel('Monthly US Border Influx')\n",
"plt.show()\n",
"\n",
"# view z-score data\n",
"f3 = plt.figure(3, figsize=(10, 8))\n",
"plt.plot(from_us.index.values, from_us.z, color = 'dodgerblue')\n",
"plt.ylabel('Monthly US Border Influx (z score)')\n",
"plt.xlabel('Time (Years)')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Much better. The spike in crossings during the late 1990's and early 2000's is much clearer, as well as a spike around 1980/81. As well, we see that from around 1988 to 1993, crossings are fairly average -- and stable -- across all months. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exchange Rate Data\n",
"This is a fairly simple dataset where all we need is the monthly noon average CAD-USD exchange rate. Because this is a Canadian dataset, the US exchange rate is given in Canadian dollars. However, the CAD is typically shown relative to the US dollar, so a simple conversion is needed to facilitate interpretation."
]
},
{
"cell_type": "code",
"execution_count": 140,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Dan\\Anaconda\\lib\\site-packages\\ipykernel\\__main__.py:14: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n"
]
}
],
"source": [
"# Read data from csv and rename columns. Set Date as index and change Value column to float\n",
"exch_data = pd.read_csv('foreign_exch_rates.csv', sep = ',')\n",
"exch_data.columns = ['Date', 'Location', 'Currency','Vector','Coordinate',\n",
" 'Value']\n",
"exch_data.Date = pd.to_datetime(exch_data.Date, format = '%b-%y')\n",
"exch_data = exch_data.set_index('Date', drop = True) \n",
"exch_data.Value = exch_data.Value.apply(float_convert)\n",
"\n",
"# Grab all columns with US dollars in 'Currency'\n",
"usd_all = exch_data[exch_data.Currency.str.contains('United States dollar,')\n",
" == True]\n",
"noon_avg = 'United States dollar, noon spot rate, average'\n",
"# Convert to CAD for ease of interpretation. \n",
"usd_all['Value'] = usd_all['Value'].apply(lambda x: 1 / x) \n",
"CAD_noon_avg = usd_all.groupby('Currency').get_group(noon_avg).Value\n",
"# Border data only ranges from Jan 1972 to Jun 2015; restrict exchange data to match\n",
"CAD_noon_avg = CAD_noon_avg[(CAD_noon_avg.index.year > 1971) &\n",
" (CAD_noon_avg.index < '2015-07')]"
]
},
{
"cell_type": "code",
"execution_count": 141,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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psIAtNCxuct1PirI+EvYD10yVbhN2taDiaxFx8gTSDF8SQgipINtWTln3xhN3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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x24900da0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show time-series plots of USD noon avg and USA border entry\n",
"f4 = plt.figure(4, figsize=(10, 8))\n",
"plt.plot(CAD_noon_avg.index.values, CAD_noon_avg, color = 'dodgerblue')\n",
"plt.xlabel('Time (Years)')\n",
"plt.ylabel('CAD')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Relationship Between the CAD and US Border Crossings"
]
},
{
"cell_type": "code",
"execution_count": 142,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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PaiArIiL9oUBMMq2bwVHkwK75rOU9Tl10NbNjwxbIiohItul5vwXDWIM1CJLU2dU6N0dm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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x24c41390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# scatter plot between CAD and border crossing\n",
"f5 = plt.figure(5, figsize=(10, 8))\n",
"plt.scatter(CAD_noon_avg, from_us.z, color = 'dodgerblue', alpha = .6)\n",
"plt.ylabel('Monthly US Border Influx (z score)')\n",
"plt.xlabel('CAD')\n",
"plt.xlim([.6, 1.1])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"r = -0.757592336507, df = 520, p = 2.11080204565e-98\n"
]
}
],
"source": [
"# perform simple correlation\n",
"r, p = stats.pearsonr(CAD_noon_avg, from_us.z)\n",
"print 'r = {}, df = 520, p = {}'.format(r, p) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we see a significant, negative relationship between the CAD and the Monthly US Border Influx. Let's model this data so we can get more information from it and make predictions. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Modeling the Relationship"
]
},
{
"cell_type": "code",
"execution_count": 144,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# prepare model matrix that will be used for each model\n",
"\n",
"def data_combine(x, y):\n",
" '''Combine input and output variables into one dataframe. Then split into seperate, same-shaped \n",
" arrays that are required for modelling.'''\n",
" model_df = pd.concat([x, y], axis = 1)\n",
" model_df.columns = ['x', 'y']\n",
" model_x = model_df.x.reshape((len(model_df.x), 1))\n",
" model_y = model_df.y.reshape((len(model_df.y), 1))\n",
" return model_x, model_y\n",
"\n",
"mod_x, mod_y = data_combine(CAD_noon_avg, from_us.z)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Simple Linear Model\n",
"First, we'll try a simple linear regression to model the data. \n",
"\n",
"For fun, we'll start with a more econometric/social sciences approach and examine the statistics of a linear regression that uses all the data. Doing so will allow us to get a general flavour of the relationship between the CAD and the Monthly US Border Influx. This will essentially confirm our findings from the correlation above. Should there be a significant relationship, we can can look at the model's predictive ability (a more machine-learning approach). "
]
},
{
"cell_type": "code",
"execution_count": 145,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.574\n",
"Model: OLS Adj. R-squared: 0.573\n",
"Method: Least Squares F-statistic: 700.5\n",
"Date: Wed, 23 Sep 2015 Prob (F-statistic): 2.11e-98\n",
"Time: 15:37:45 Log-Likelihood: -511.93\n",
"No. Observations: 522 AIC: 1028.\n",
"Df Residuals: 520 BIC: 1036.\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"x1 -6.5594 0.248 -26.467 0.000 -7.046 -6.073\n",
"const 5.4919 0.209 26.224 0.000 5.080 5.903\n",
"==============================================================================\n",
"Omnibus: 2.712 Durbin-Watson: 0.163\n",
"Prob(Omnibus): 0.258 Jarque-Bera (JB): 2.526\n",
"Skew: 0.128 Prob(JB): 0.283\n",
"Kurtosis: 3.226 Cond. No. 14.9\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
]
}
],
"source": [
"# run full model first. \n",
"mod_x_const = sm_tools.add_constant(mod_x, prepend = False)\n",
"full_lin_model = sm.OLS(mod_y, mod_x_const).fit()\n",
"full_lin_yhat = full_lin_model.predict()\n",
"full_lin_res = np.subtract(from_us.z, full_lin_yhat) # residuals\n",
"\n",
"def rmse(yhat, y):\n",
" ''' Returns RMSE of given predicted and actual values.\n",
" ---\n",
" @yhat: array of predicted values \n",
" @y: array of actual values'''\n",
" return math.sqrt(np.mean((yhat - y) ** 2))\n",
"\n",
"full_lin_rmse = rmse(full_lin_yhat.reshape((len(full_lin_yhat), 1)), mod_y)\n",
"print full_lin_model.summary()"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RMSE = 0.645181765279\n"
]
}
],
"source": [
"print \"RMSE = {}\".format(full_lin_rmse)"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Predictive Model Results:\n",
" Split train RMSE = 0.659065630734\n",
" Split test RMSE = 0.601953611807\n",
" Cross Val. RMSE = 0.796449410511\n",
" Cross Val. SD = 0.280767206216\n",
" \n"
]
}
],
"source": [
"# Predictive modeling. We'll look at both split and cross-validation error evaluate it just for curiosity's sake.\n",
"def lin_reg_pred(x, y, k = 5):\n",
" ''' Run a linear regression with sklearn and return all relevant variables\n",
" in a single dict.\n",
" ---\n",
" @x = array where each column is an independent variable\n",
" @y = array of the dependent variable\n",
" @k: number of folds to be used for cross validation (default is 5)'''\n",
" # split data into training and test samples\n",
" xtrain, xtest, ytrain, ytest = sklearn.cross_validation.train_test_split(\n",
" x, y) \n",
" # build model with split data and evaluate it via RMSE\n",
" lm = LinearRegression()\n",
" lm.fit(xtrain, ytrain)\n",
" yhat_train = lm.predict(xtrain)\n",
" train_rmse = rmse(yhat_train, ytrain)\n",
" yhat_test = lm.predict(xtest)\n",
" test_rmse = rmse(yhat_test, ytest)\n",
" \n",
" # cross validate model with k-folds for better test error prediction\n",
" scores = cross_validation.cross_val_score(lm, x, y, scoring = 'mean_squared_error', \n",
" cv = k)\n",
" return {'train_rmse': train_rmse,\n",
" 'test_rmse': test_rmse,\n",
" 'cv_scores': -scores,\n",
" 'cv_mean': math.sqrt(-scores.mean()),\n",
" 'cv_sd': scores.std()}\n",
"\n",
"pred_lin_model = lin_reg_pred(mod_x, mod_y)\n",
"\n",
"print '''Predictive Model Results:\n",
" Split train RMSE = {}\n",
" Split test RMSE = {}\n",
" Cross Val. RMSE = {}\n",
" Cross Val. SD = {}\n",
" '''.format(pred_lin_model['train_rmse'],pred_lin_model['test_rmse'],\n",
" pred_lin_model['cv_mean'], pred_lin_model['cv_sd'])"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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hEzcX2NRW5Ldfrad7MIAETozs/tSlUtXR4xuGONJls2pJkiRJkmZrqkThTuDR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\nT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"text/plain": [
"<matplotlib.figure.Figure at 0x2405de80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# create an array to impose plot. Have to reshape full_lin_yhat to match mod_X\n",
"def model_plot_array(x, yhat, x_col = 1):\n",
" ''' Creates a sorted array so that the model can be superimposed nicely \n",
" on a scatter plot. Sorts rows in array according to the column specified\n",
" by x_col.\n",
" ----\n",
" @x: array of input variables\n",
" @yhat: array of predicted y by model\n",
" @x_col: column to sort array by. 1 is the first column of the input \n",
" variables array'''\n",
" arr = np.concatenate([yhat, x], axis = 1)\n",
" return arr[arr[:,x_col].argsort()]\n",
"lin_arr = model_plot_array(mod_x, full_lin_yhat.reshape(len(full_lin_yhat),1))\n",
"\n",
"# plot model\n",
"plt.figure(6, figsize= (20, 8))\n",
"plt.subplot(1,2,1)\n",
"plt.scatter(CAD_noon_avg, from_us.z, color = 'dodgerblue', alpha = .6)\n",
"plt.plot(lin_arr[:,1],lin_arr[:,0], color = 'indianred', alpha = .8,\n",
" linewidth = 3)\n",
"plt.ylabel('Monthly US Border Influx (z score)')\n",
"plt.xlabel('CAD')\n",
"plt.xlim([.6, 1.1])\n",
"# plot distribution of residuals to double check normality assumption\n",
"plt.subplot(1,2,2)\n",
"sns.distplot(full_lin_res, color = 'dodgerblue', kde = False)\n",
"plt.ylabel('P')\n",
"plt.xlabel('Residuals (z)')\n",
"plt.xlim([-2.5, 2.5])\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Overall, a linear regression does an okay job at describing the data. We see that yes, the CAD is a significant predictor for Monthly US Border Influx, *F*(1, 520) = 700.5, *p* < .001. However, the cross-validation *RMSE* (.796) is a little high when considering the units of the dependent variable, US Vehicles Entering Canada. Looking at the plot above, we also see that the model is probably too inflexible: we see that the model tends to underfit the data at both extremities along the X axis. Thus, model fit could be better and the relationship is not exactly linear."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Polynomial Regression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll now see how polynomial regression performs with the data and see if this improves fit. For explorations sake, let's begin by looking at degrees 2 to 4 and see how cross-validation *RMSE* changes. More flexible models risk overfitting, so we expect there to be an inverted U shaped relationship between model flexibility and *RMSE*."
]
},
{
"cell_type": "code",
"execution_count": 149,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Y9XwD/p4QABFjiIDZSwF1LDt+HMW08Dg85DpzyKpZQtG734OjsHDS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\niDSIAjERERGRBvn/Ac6qyKGgjARwAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2199fd30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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0FMzOljTdsqytki6X9IRlWassy3pG0in9MjoAQM7YE5Z+vTSoAQFbnx3Fahly\nU0/BLGpZ1oH/XTlf0ivd7gukbkgAgFz06NKA9kYMXTM6pAH8K4Mc1dN2GdtN0zxTUqGkakl/lyTT\nNM+XtKEfxgYAyBHNbYb+aAVUWRDXx0ZE0j0cIG16CmZfkvQnSZVyDmm2mab5LUm3SrqkPwYHAMgN\nMxYHFI4bunFsh4LedI8GSJ+etstYJGnkITc/Luluy7J2p3RUAICcsXqXRy+sdYrKP1xPUTlyW0/b\nZXym27fdyzBs0zRlWdZvUjcsAECuOFBUfuv4kLwUBSLH9XQo81FJLXJO+k92eQzBDABwQhZs82rm\nJr9Oq4jq3Gqql4CegtkESR+XdKGkRXLON3vFsiz+5AAATphtS3d3FpWHKCoH1PM5ZgskLZD0DdM0\nz5AT0n5gmuY7ctoAXu2nMQIAstBrm3xa1OrV+UMjGltB9RIg9byPWSfLst6R9BU5V2qOlfRCKgcF\nAMhu0bh0/8IAReXAIXo6lCnTND2Spkq6UtLFkhZKulsEMwDACThQVP6R4WHVU1QOdOrpqswHJH1Q\n0nxJT0j6umVZ+/prYACA7NQRlR5c5BSVX0dROXCQnlbMrpe0XdJpiV8/NE3zwH22ZVmNKR4bACAL\n/WllQNvaPbpmVEiDKSoHDtJTMGuUlCepTNJGOXuZ2ZKGSLor9UMDAGSb3SGnE7MkYOszFJUDh+np\n5P/PSZor6f8kjZATzj4p6W9yAhoAAMfl0WXBzqLyYorKgcP0tGL2WUknyykwv0vS1+T0Zl5lWdb/\n9cPYAABZpLnN0J8sv6oK4rqKonIgqZ5WzPZYlrXFsqx5ks6Qs8nseEIZAKA3HlwcTBSVhygqB46g\npxWz7tcvt0r6T8uyOIQJADhuq3Z59OJan04qjeliisqBIzrWutgOQhkAoLfuWxhU3DZ0yziKyoGe\n9LRiNto0zbWJr6u7fS2xXQYA4BjN3+bVrE0+TRgc1WSKyoEe9RTMRvTbKAAAWcm2pXsSReW3UVQO\nHFVPJeZN/TgOAEAWem1joqh8WESnllO9BBwNR/oBACkRjUv3LgzIa9iaPi6U7uEAGYFgBgBIiRfW\n+NW0x6vLhkdUP4Drx4BjQTADAPS5jqj04OKAgl5b159K9RJwrAhmAIA+90croJZ2j64+JawKisqB\nY0YwAwD0qV0h6dFlTlH5Z0eyWgYcD4IZAKBPPbo0qH0RQ58/NaQiisqB40IwAwD0mS1thv600q8h\nhXFddTJ1LBTYAAAgAElEQVRF5cDxIpgBAPrMg4uCiiSKygMUlQPHjWAGAOgTB4rKTy6N6UN1FJUD\nvUEwAwD0iXsXBGXL0C3jKSoHeos/OgCAEzZvq1evb/bp9MFRnTOEonKgtwhmAIAT0r2o/FaKyoET\nQjADAJyQVzf6tGS7VxdQVA6cMIIZAKDXonHn3DKvYetmisqBE0YwAwD02nNr/Fq/16NpwyOqo6gc\nOGEEMwBAr7RHpRmLA8rz2rpuDNVLQF8gmAEAeuVxK6DWdo8+dUpY5fmslgF9gWAGADhuuzoMPbYs\noJJgXJ8exWoZ0FcIZgCA4/bI0oDaIoauHR1WkT/dowGyB8EMAHBcNu8z9OR7flUXxnUFReVAnyKY\nAQCOywOJovKbKCoH+hzBDABwzFbu9OilJp9GlMb0wXqKyoG+RjADAByzA0Xlt44PyUP1EtDnfKl6\nYdM0PZLulzRWUkjStZZlre52/0ckfVOSLekRy7IeSNVYAAAnbu5Wr97Y4tMZlVGdRVE5kBKpXDGb\nJilgWdY5kr4u6SeH3P9TSRdKmizpP03TLEnhWAAAJ6B7UfktFJUDKZPKYDZZ0suSZFnW25ImHnJ/\nRFKppHxJhpyVMwCAC/1zg09Lt3t1YW1Eo8soKgdSJZXBbICkPd2+jyUObx7wE0nzJC2R9LxlWd0f\nCwBwiWhcum+hU1R+01iKyoFUStk5ZnJCWXG37z2WZcUlyTTNWkm3SKqTtF/S70zTvNKyrKd6esGK\niuKe7s4Zdb849JaueVn3xX4diqvxeUmOeTkcc5LcgXn5/WJp/V7p02Ol04cXpXlU6cfnJTnmpW+k\nMpjNlnSppCdN0zxL0qJu9+VJikkKWZYVN01zm5zDmj1qadmbkoFmniN/+JkjR0VFMXORBPNyOOYk\nuQPz0h6VfvJGofJ9hj41vE0tLbl91gmfl+SYl8P1NqimMpg9LelC0zRnJ76/xjTNT0oqsizrIdM0\nH5P0hmmaHZJWSXo0hWMBAPTCH1YEtL3Do+tODVFUDvSDlAUzy7JsSTcdcvPKbvf/TNLPUvX+uWrt\nbo/qB8S5YgrACdvVYeg3ywIaGIzrUyMpKgf6QypXzJAGV71YqKFFcU2tiWrq0KjGV8TkYxthAL3w\n8NKA2qKGbhoXoqgc6CcEsyzzgdqI3tzs0x+sgP5gBVTstzW52glp5wyJqiiQ7hECyATrd0tPvudX\nTWFcV5xEUTnQXwhmWeZ/zu1QOCa9u82rmZt8mrnRp5fX+fXyOr+8hq3TB8c0dWhUU2qiqinifBEA\nXSb+4dCTlQ1tajN09p+KNfdqTuwG+gPBLAN1/wsy2ZUwAa901pCYzhoS01dOD+m9XZ7OkDZnq/Pr\nf+dJw0uckDa1JqrRZXF67wAASDOCWZYzDGnEwLhGDAzr2lPDatlv6PXNB0KaV79eGtSvlwZVlhfX\nuTVRTamJ6cyqqPL5ZAA5ZXs7/2cGuAH//OaYigJbHzkpoo+cFFF7VHq72adZm7yatcmnZ1cH9Oxq\nKei1NakypilDo5pSHVVFAYc8gWyzP+Kc8jCn2ad3tnr13i5vuocEQASznJbvk943NKr3DY0qboe0\nbLtHryUOec7a7PySpFGDYp1XeZ5cylYcQCaKxqUlrV7N2erVnGavFrd6FbOdP8xBr60zq6J6u5l/\nEoB0408hJEkeQzq1PK5Ty8OaPi6sTfsMzUqEtHnbvFq2I6gHFgdVVRDXlJqozhsa1YTBMQX4n2zA\nlWxbWr3bo7ebvXqn2ad3t3m1P+oEMY9ha+SguCZVRTWpMqaxFTEFvclO/gfQ3whmSKqmyNYnzIg+\nYUa0Nyy9ucUJabM3+/TkewE9+V5AhT5bZw1xVtImV0dVGkz3qIHctqXN0Jxm5/Dk3K1ebe/o2sSw\nbkBMkypjOrMqptMroypm6xzAlQhmOKrigHRRXVQX1UUVjUsLWryaudGnmZt8+scGv/6xwS+PYWtc\neddVnnUDOC8NSLVdIWnuVp/eSYSxDfu6glh5flwfro9oUlVUZ1TFVHkM54oe7YpvAKlHMMNx8Xmk\niZUxTayM6UsTQmra03Ve2oIWr+a3+PSL+VJtcVznJULamHLaB4C+0BF1/sdoTrNX72z1acUOj2w5\nhycLfbam1kQ0qSqmSVUxNVDNBmQkghl6zTCkhpK4GkrC+tyosHZ0GJq92VlNe6vZp98uD+i3ywMq\nCXS1D5w9JKpCql2AYxKNSyt2eJz9B5u9WtTiVTjupC2fx9aEwTGdUeVscTNyUJz/AQKyAMEMfWZQ\nnq1LG6O6tDGqUEyau9UJabM2+fTXJr/+2uSX39PVPjC1JqqqQg55AgfYtrRuT+KE/a1ezd3q075I\n17KXOdBZDZtUGdX4wTH2GwSyEH+skRJBrzS5OqbJ1TF93Q7J2unRa4mQ9laz8+tHc6URpV0VUSMH\n0T6A3NOy30hsYeGcK7atvWvZq6YorgvrIjqzKqaJg2MqzeN/ZIBsRzBDyhmGdMqguE4ZFNYNY8Nq\nbutqH3hnq1crlwT1qyVBlecntuKoiWpiZUx5fDqRhfaFpbnbDpyw79XaPV17zgwMxnVhrRPEzqii\nzxbIRfzTh35XVWjrypMjuvLkiNoiTvvAzI0+vb7Zq6dXBfT0qoDyvLbOHOIc7jy3OqayfP6BQmYK\nx6RFrYkT9pt9WrrDo3hiY9c8r61zhkSd/cSqYjqplFVjINcRzJBWhX7p/cOiev+wqGJxafF2r2Zt\ncs5Ne22jX69t9MuQrVPL4p2HPIeXcLUZ3CtuSyt3ejr3E5vf4lUo5nxgvYbzWT4zsYXFmLKY/GzS\nDKAbghlcw+uRxlfENL4iplvHh7V+j6GZm5zz0ha0eLV4e1D3LQyqprArpE0YzFYcSC/bljbtM/R2\nonPyna1e7Q51fSiHlyRO2K+K6rTBMRVxVTKAHhDM4Fq1A2z9+4CI/n1kRLtD0hubnU1t39ji0+NW\nQI9bARX5bZ1T7RzyPKc6qgHsZo5+sKPDcM4R2+ocntzc1hXEKgvimtoY0aRKZ1WsnMPwAI4DwQwZ\noSQoXdwQ1cUNUUVi0rstXs1KtA/8bZ1ff1vnl9ewddrgmKbURPURv1SQ7kEja+yPSPNbnEOTc5q9\nem9X1/HHAQFb5w9zTtifVBnVsGKbQ+0Aeo1ghozj90pnVjmdf/95ekird3s0M9E+MHer8+tn70qN\nJQWaUuOspp1aFpeXQ544RtG4tGS7t/PKyUWtXsUSJ+wHPHZn+fekqqjMgXy2APQdghkymmFIJ5XG\ndVJpWJ8fHVZru7MVx9steZq5zqPHlgX12LKgBgbjOrcmpqk1UZ1ZFVUB5/mgG9uWVu/uOmH/3W1e\n7Y86QcyQrZGDuk7YH1vOVi4AUoe/XpBVyvNtTRse0XVn5WnDln16Z2tX4frza/x6fo1fAY+tiZVd\n7QODj6HcGdmnuc3QnGavFs6TXl9XqO0dXctetcVxnVnl9E6eXsm5iwD6D8EMWSvPJ02piWlKTUzf\nsENavsPTGdLe2OL8+p93pFMGdoU0cyBbcWSr3SFp7lbnysk5zT6t39sVxMrypIvrI5pUFdUZlTGq\nwgCkDcEMOcFjSKPL4hpdFtZN48La0mZ0hrR527xasTOoGYuDqiyId56XNrEypgB7TGWsjqi0MLGx\n65xmn1bs8MiWk7oLfbamJA5rf3BknkpjbQRyAK5AMENOGlJo6+NmRB83I9oXkd7a4tNrG32avdmn\np94L6Kn3Asr32TpriFMRNbk6poH0FLpaLC4t3+HRO1udKycXtngVjjtpy+dxrtg9cML+qLJ45/53\nFWV5amlJ48ABoBuCGXJekV/6QG1UH6iNKhp36nMOrKa9usGvVzc47QNjK2KaWhPTeTVR1Q3gkGe6\n2ba0bq/RuYXFvK0+7Y10/aaMGOhcuXtGpbOxaz5/2wHIAPxVBXTj80gTBsc0YXBM/zEhpKY9XYc8\nF7V6tbDFp3sWBDWsKN55Xtq4CtoH+ktru9F5aHJOs1fb2rsmvqYwrg/UOifsT6xkhRNAZiKYAT2o\nH2CrflREnxkV0a4OQ69v9mrmJp/e2uLT71cE9PsVAQ0I2Jpc7VREnTMkqiKu4Osz+8LSvG3O7vpz\ntnq1ZnfXSX+lwbguTASxM6qiGlpEEAOQ+QhmwDEqzbN1SWNUlzRGFY5J87Y6IW3mJp9eavLrpSan\nfeD0Sme/tKk1UVUTFo5LOCYt7nbC/rIdns6NXfO8ts4ZEtUZVVFNqorp5NK4PBxOBpBlCGZALwS8\n0tnVMZ1dHdNXJ4a0cpezFcesTb7EYTaf/needFJpV0gbVUaQOFTcllbu9HRuYfHuNq9CMWeSvIat\n0WXxzi0sxpRzlSyA7EcwA06QYUjmwLjMgWFdNyasbfsNzdp0IKR59ciuoB5ZGlRZnrMVh7NNQ+7u\nHr9xX9cJ++9s9Wp3qOs8scaSrisnJ1TGVERDA4Ack6P/NACpM7jA1hUnR3TFyRG1R6W3t/g0c5NX\nszb59MzqgJ5ZHVDQa2tSlbOaNqUmqvL87D3kubPDSKyIOatim9u6glhlQVxTGyM6o9I5PJnN8wAA\nx4JgBqRQvk9637Co3jcsqlg8pKXbPZq1yafXEitqszY5fwRHl8U0pcbZM+2k0szeimN/RJrfkjhh\nv9mrlbu6jj8W+22dP7TrhP26Yjujf1YA6GsEM6CfeD3S2Iq4xlaENX18WBv3GpqZCGfvbvNq6fag\nHlgU1JDCrvaB0wfH5Hf5eVXRuLR0u6fz8OTi7V5FExu7Bjy2JlU65d+TqqI6ZWBcXrYWAYAjIpgB\naTK02NbVp0R09SkR7QlLb2x2QtrszT49sTKgJ1YGVOizdXa1E9ImV0dVEkz3qJ2NXVfv9uidxKHJ\nedu82h91gpghWyMHJU7Yr4ppXHnunksHAL3BX5mACwwISB+qj+pD9U77wIIWr15LbGz7ynq/Xlnv\nbMUxrqLrKs/aAf13PlZzm5E4Wd9ZFdve0bXsVVsc16Qq5/Dk6YPdER4BIFMRzACX8XmkiZXO7vW3\nTwhp7R5PZ/vA/G1evbvNp5/Pl+oGdFVEjSmP9ekhwj1haW4ihM1p9mn93q4XL8uL60N1EU1K7CdW\nVcgJ+wDQVwhmgIsZhtRYEldjSVifGx3Wjg5Dr2/qah/47XKvfrs8oJJgXOdWO6tpZw2JqvA4t5no\niEoLW72dhyeX7/DIlnN4ssBna0p1tPPw5PCSzL44AQDcjGAGZJBBebYuGx7VZcOj6ohKcxPtA7M2\n+fTiWr9eXOuX32NrYmXXVhyXPFt0yKsUd341fVxIc5q9WtjiVThxwr7PY2t8RUyTEifsjy6L0wUK\nAP2EYAZkqDyfdG5NTOfWxGTbIa3Y6RzyfG2TT29ucX79v7k9v8Z9C50TwkaUxjq3sDitIqYCNnYF\ngLQgmAFZwDCkkYPiGjkorBvGhtXc5rQPzEyEtCP5weR2TayMaVAe54kBgBtwgALIQlWFtq4aEdE9\n57f3+LiL6qKEMgBwEYIZAACASxDMAAAAXIJgBgAA4BKc/A9kublX7+38uqKiWC0te3t4NAAgnVgx\nAwAAcAmCGQAAgEsQzAAAAFyCYAYAAOASBDMAAACXIJgBAAC4BMEMAADAJQhmAAAALkEwAwAAcAmC\nGQAAgEsQzAAAAFyCYAYAAOASBDMAAACXIJgBAAC4BMEMAADAJQhmAAAALkEwAwAAcAmCGQAAgEsQ\nzAAAAFyCYAYAAOASBDMAAACXIJgBAAC4BMEMAADAJQhmAAAALkEwAwAAcAmCGQAAgEsQzAAAAFyC\nYAYAAOASBDMAAACXIJgBAAC4BMEMAADAJQhmAAAALkEwAwAAcAmCGQAAgEv4UvXCpml6JN0vaayk\nkKRrLctanbivUtIfuz18vKSvWZY1I1XjAQAAcLuUBTNJ0yQFLMs6xzTNMyX9JHGbLMvaKul8STJN\n82xJd0l6KIVjAQAAcL1UHsqcLOllSbIs621JEw99gGmahqS7Jd1kWZadwrEAAAC4XiqD2QBJe7p9\nH0sc3uzuUklLLMt6L4XjAAAAyAipDGZ7JBV3fy/LsuKHPOZTkjivDAAAQKk9x2y2nBWxJ03TPEvS\noiSPmWhZ1pvH+oIVFcVHf1AOYl6SY16SY14Ox5wkx7wkx7wkx7z0jVQGs6clXWia5uzE99eYpvlJ\nSUWWZT1kmmaFpN3H84ItLXv7eowZr6KimHlJgnlJjnk5HHOSHPOSHPOSHPNyuN4G1ZQFs8TJ/Dcd\ncvPKbve3SJqQqvcHAADINGwwCwAA4BIEMwAAAJcgmAEAALgEwQwAAMAlCGYAAAAuQTADAABwCYIZ\nAACASxDMAAAAXIJgBgAA4BIEMwAAAJcgmAEAALgEwQwAAMAlCGYAAAAuQTADAABwCYIZAACASxDM\nAAAAXIJgBgAA4BIEMwAAAJcgmAEAALgEwQwAAMAlCGYAAAAuQTADAABwCYIZAACASxDMAAAAXIJg\nBgAA4BIEMwAAAJcgmAEAALgEwQwAAMAlCGYAAAAuQTADAABwCYIZAACASxDMAAAAXIJgBgAA4BIE\nMwAAAJcgmAEAALgEwQwAAMAlCGYAAAAuQTADAABwCYIZAACASxDMAAAAXIJgBgAA4BIEMwAAAJfw\npXsAOH4bbr+56+tD7hv20/v7dzAAAKDPsGIGAADgEgQzAAAAlyCYZZm9M/+p0Pom2bFYuocCAACO\nE+eYZZldzzwlSTL8fgWG1SlQ36hgw3AF6hrkLSpK8+gAAEBPCGZZZtDVn1WoaY3Ca9cotHa1QmtW\naW/iPt/gSgXrG52wVt8o3+BKGR4WTQEAcAuCWZYpnHimCieeKUmKd7QrvK7JCWpNaxRqWqu2OW+q\nbc6bkiQjP1/BukYFGpygFqitkyeYl87hAwCQ0whmGaj7lhgVFcVqadmb9HGevHzlmSOVZ46UJNnx\nuCLNWxIhzQlrHSuWqmPFUucJhiF/9dCuVbWGRnkHDpJhGCn/mQAAAMEspxgejwLVNQpU16jonCmS\npNjePQetqIU3rFNk0wZp9muSJO+Akq4VtfpGBWqGyfDxsQEAIBX4FzbHeYsHqGDMeBWMGS9JsqMR\nhTdu7FxVC61drfaF89W+cL7zBJ9PgWF1CiZW1AJ1jfIWF6fxJwAAIHsQzHAQw+dXsL5BwfoGFesC\n2bat2M4dCq1dc9Ah0PDa1dr7qvMcX3lF5wUFgfpG+auGcFEBAAC9QDBDjwzDkG9QmXyDylR4+hmS\npHhHh8Ib1iWu/lytUNNa7Z/7tvbPfdt5Tl6egnUNXVt11NbJk5efzh8DAICMQDDDcfPk5SnvZFN5\nJ5uSnIsKotuaFVrb7aICa7k6rOXOEwxD/iE1CtQ3JA6BDpd3UBkXFQAAcAiCGU6Y4fHIX1Utf1W1\nis4+V5IU27dX4XVrOw+BhtevU2TzRrW9MUuS5CkeoGB9Q9ch0KG1Mvz+dP4YAACkHcEMKeEtKlb+\n6LHKHz1WkmRHowpv7rqoILx2jdoXL1T74oWJJ/gUGDYscZ7acAXrG+QdUJLGnwAAgP5HMEO/MHw+\nBWvrFaytV/HU90uSojt3OEHtwCHQ9esUblor6R+SJG9ZuXPo88BFBUOquagAAJDVCGZIG9/AQfIN\nHKSC0yZKkuKhkMIb1h20qrZ/3hztnzdHkmQEgwrUNXRtgFvXIE8+FxUAALIHwQyu4QkGlXfSCOWd\nNEJS4qKClm3dNsBdo9DKFQqtXOE8wTDkrxzS2VIQqG+Ur7yCiwoAABmLYAbXMjwe+Sur5K+sks48\nR5IUa2tTeN3arlW19U2KNG9W21uvS5I8RUUK1jcqNnqkohU18g+tlScQSOePAQDAMSOYIaN4CwuV\nP+pU5Y86VZJkx2KKbN6kUNNqhZvWKtS0Ru1LFql9yaLEE7wK1AzrrJUK1jfKW1Kaxp8AAIAjI5gh\noxlerwLDahUYVitNOV+SFN21U3k7tqhl0TJnq46N6xVe36R9r/1TkuQdOOigonb/kBoZXm86fwwA\nACQRzJCFfKUDNfDkWkUbR0mS4uGwIhvXH7QB7v75c7V//lxJkhEIKlBb1xXW6hvlKShI548AAMhR\nBDNkPU8goGDjSQo2niRJsm1b0daWRJ1U4qKCVSsVWrWy8zm+yiFOUEscAvVVDOaiAgBAyhHMkHMM\nw5C/YrD8FYNVOOlsSVJ8/36Ful9UsK5JbVu3qO3t2ZIkT2HhQVt1BGrruagAANDnCGaAJE9BgfJH\njlb+yNGSEhcVNG/u3E8t1LRGHcuWqGPZksQTPPLXDD1oA1zfwEFp/AkAANmAYAYkYRy4mrNmmDT5\nPElSbM/urj3V1joXFUQ2rNe+Wf+SJHlLSxN1UomLCqqHclEBAOC4EMyAY+QdUKKCsaepYOxpkiQ7\nElE4cVHBgUOg7QvmqX3BPEmS4fcrUFvfVdRe3yBvYVE6fwQAgMsRzIBeMvx+BRuGK9gwXJJzUUFs\ne2vnBQXhtWsUWrNKodXvaW/iOb7BlQdd/ekbXEn/JwCgE8EM6COGYchXXiFfeYUKJ54pSYp3tCu8\nrqlbrdRatc15U21z3nSek5+vYF3X1Z+B2jp5gnnp/DEAAGlEMANSyJOXrzxzpPLMkZKc/s9I8+Zu\nRe1r1bFiqTpWLE08wSN/dc1Bq2regYPYqgMAcgTBDOhHhsejQPVQBaqHquicqZKk2N49B62ohTes\nU2TjBun11yQ557Z1rqjVNypQM0yGjz+6AJCN+NsdSDNv8QAVjBmvgjHjJUl2NKLwxo2dq2qhtavV\nvnC+2hfOlyQZPr/8w2o7r/4M1DfKW1Sczh8BANBHCGaAyxg+v4L1DQrWN6hYFzgXFezc0e3qz9VO\nB+ja1dr7qvMcX8Xgbld/NspfWdV5UcGG22/ufO0Nh7zXsJ/e308/FQDgWBDMAJczDEO+QWXyDSpT\n4elnSJLiHR0Krz/4ooL977yl/e+85TwnL1/BugYF6hvTOXQAwHEimAEZyJOXp7wRpyhvxCmSnIsK\notuaDypq77CWqcNa1uPrtDx0n+TxyDA8ktcjGR5npc3T9d/Orw2PjMRjut+f7HHyJl4z2f3dbzOO\n4X5vT4/zSh7j8LFxsUSvsLoKpB/BDMgChscjf1W1/FXVKjr7XElSbN9ehdetVevDDxzxeR3Ll/bX\nEPuXYRwhFHqd0Nbttm0Bv2JxuzOcHlNI9Rzl/u5BsaeQ2ich9vBwani9h80BIRZ9jSCfGgQzIEt5\ni4qVP3psj4+p+eFPpbgtOx6X4nHJjsuOxSTb7vyv4nHZ8Vjicc5/uz9O8Zjs+MGP67otJjvxGt1v\n63rPxP0H3jPp47q956G3HTq2zvHGk4/HjkuxuGzbeZ94NCqFQ4pHY11zED9wf9x5vWxnGE5g9fQc\n0DZ/71uJMGl0rbJ2hlwjES6NrgB52OOMg26X4Tk4JBtGIix2e1z38Nj9fTpf2zg4tCbe5+DXO/Rx\nXe8jw+gKyAc97tCxdj2uvaNIkV3tSR/X/X067+ucE+Pg24EjIJgBOYzNbKWKimK1tOxNep99IJwd\nFAAPD7FJw6Adlx079HE9hFg73i0cdj2u67WPIcQmgmdvQ2xkw/ojT1Q8Jjsa7Ra0487XdrevD8xX\nFgfarX31QoeF00OCYmewS3zdLUx2Bl5PkgCYJEweFg47g7TnsPc8NEAfFIS7BeajBXn0HsEMAI6g\nc2XD65Uhf3oH0w+6H5o6VPW3f3DMr2MfCGeJoGYngmxXoDwQRLuC3ZEfl+z2AwEw3hVge3jcQaHx\nQBhNNp6kjzv4ffLzfNq/P3T4ex40Vrtr5fXQ1zroeckeZx88ts7bo92CsH3I2A5+bWQ2ghmQ5bqf\n69HT6hDQV5zDiImVG0nZtLbi9j9DnaG4M/QdCGzxQ4JeVwA8/HHdAqDdLbgeFADjannw3nT/uFkp\nZcHMNE2PpPsljZUUknStZVmru91/hqSfyPkzu0nSZyzLCqdqPAAAZLvOUCwlVnqRaVK5YjZNUsCy\nrHNM0zxTTgibJkmmaRqSZki6wrKsNaZpXiepQZKVwvEAAHrA6iqQfqkMZpMlvSxJlmW9bZrmxG73\njZC0XdLtpmmeKulFy7IIZQAAZAiCfGqk8prdAZL2dPs+lji8KUnlks6RdI+kD0i6wDTN81M4FgAA\nANdL5YrZHkndm5U9lmXFE19vl7TqwCqZaZovS5oo6dUeXs+oqKCoORnmJTnmJTnm5XDMSXLMS3LM\nS3LMS99I5YrZbEkfliTTNM+StKjbfWskFZmmOTzx/RRJS1I4FgAAANcz7BTteZI4wf/AVZmSdI2k\n0yUVWZb1UOLQ5f/IuSpztmVZX0rJQAAAADJEyoIZAAAAjg+FXQAAAC5BMAMAAHAJghkAAIBLuK4r\n8xiqnL4k6QuSWhI33WBZ1sp+H2gaJBoU/seyrPMPuf1SSd+SFJX0iGVZv0rH+NKlh3nJyc+KaZp+\nSY9IqpMUlPQ9y7Ke73Z/Tn5ejmFecvXz4pX0kJyNv21JN1qWtbTb/Tn3eTmGOcnJz8oBpmkOljRP\n0gXdf+5c/Kx018O8HNfnxXXBTD1UOSVMkPRpy7Lmp2V0aWKa5lcl/bukfYfc7pf0Uzn7wO2XNNs0\nzecsy9rW/6Psf0eal4Sc/KxI+pSkFsuyPm2a5kBJCyQ9L+X85+WI85KQq5+XSyTF/397dxdiVRWG\ncfw/MyWJiEaYEAbe2ENJHxomliWI3TR0oeFFhaEQCCYKESgGhhc1F96YQRJmmURGlhVlqZQVJSGU\nQSH09gF5ERGGKY2YhNnFWuNsxzlnmGDm7Dnr+d3MOfu4dJ/XZ2bes/Zir4iYL2kB8DT92+eVmpeG\nNclKzUpfJl4AzgxyvMSsAI3rkg0rL3W8lHnJVk6k/+Sq24ENkj6XtH60T66FfgKWwGV70t5Iulnv\n6Yj4B/gCuGe0T66FGtUFys3KHmBjftxJ+vTap+S8NKsLFJqXiHgXWJmfTgf+rLxcZF6GqAkUmpVs\nM7al6TIAAAQmSURBVLAN+G3A8SKzUtGoLjDMvNSxMWu2lRPAbtI3zEJgvqTu0Ty5VomIvVz+iwRS\nvU5Xnv8FTBqVk6qBJnWBcrNyJiJ6JU0kNSNPVl4uNi9D1AUKzQtARJyXtBPYCrxWeankvDSqCRSa\nFUnLSbPOB/Oh6gfiYrMyRF1gmHmpY2PWbCsngGcj4mTuyPcBs0b17OrnNJfWayKXf7orVbFZkXQ9\ncAjYFRGvV14qOi9N6gIF5wUgIpaT1lRtlzQ+Hy46Lw1qAuVmZQVwr6RPgNuAV/K6Kig7K83qAsPM\nSx3XmB0G7gf2DNzKSdIk4FtJN5GuYS8EdrTkLOvje2BGXjNzhjR1vLm1p9R6JWdF0lTgILAqIgbu\nP1tsXprVpfC8LAOmRUQPcBb4l7TgHQrNS7OalJyViFjQ9zg3ISsra8iKzAo0r8v/yUsdG7O3SZ3n\n4fx8haQH6d/KaT1ps/NzwEcRsb9VJ9oifT8cqjV5HDhAmgHdERGDXeNud4PVpdSsbCBdQtgoqW9N\n1XZgQuF5GaoupeblTWCnpM+AK4G1wGJJJf98GaompWZloA7/LhrUwLoMKy/eksnMzMysJuq4xszM\nzMysSG7MzMzMzGrCjZmZmZlZTbgxMzMzM6sJN2ZmZmZmNeHGzMzMzKwm6ngfMzOzhiRNB34AjuVD\n40k3ol5dyobJZta+3JiZ2Vj0a0Rc3NZE0jOkm4KWtGmymbUhN2Zm1g6eAn6XdDPQDSwFuoADEbEO\nQNIaYDVwirR9zM8RsUnSCeArYCpwB/BEg/GPkO4A3wl8DTxG2qrnJWBmPo/nI+LFkX+7ZtauvMbM\nzMa8vDnwj6QNhGcDc/LXaZIelnQLsCofuxuYQf9+kNcAPRExG1jUYPxM4FFgXp6pO0Fq4OYBV1fG\n3jUa79fM2pdnzMysnawFppBmtACuAn4BrgXei4heAEm7gcmVcUfy10XA3EHGTyY1c0ckAYzLf2Zb\n+uu0H/gAWDcC78nMCuIZMzMb8ySNA24AjgNbImJWntm6E+gBzpMuTfbpqI6PiHP5YWeD8V3AG5Xj\nc4E1EXGSdBnzOUDAUUmTRup9mln7c2NmZmOapE5gE/Al8DKwTNIESVcAe4ElwMfAfZIm5ibuAfov\nZVYdajD+U2CxpCmSOkgzZWsldQOvRsQ+0mxdLzBtBN+umbU5X8o0s7HoOknf5MddwFHgoYg4JelW\n0qXJLuDDiNgFIGkrqXnrBf4AzubxFxu0iHi/yfhNpMatM/97PaTF/0slHQP+Bt6KiL7beJiZDVvH\nhQuDfWg0M2sfkmYA3RGxJT9/B9ieZ7rMzGrDM2ZmVoLjwBxJ35FmyPa7KTOzOvKMmZmZmVlNePG/\nmZmZWU24MTMzMzOrCTdmZmZmZjXhxszMzMysJtyYmZmZmdWEGzMzMzOzmvgPoX4DWh3Q32cAAAAA\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x20e9acf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# want to look at polynomials 1 (already done) to 4 \n",
"degree = np.arange(1,5)\n",
"cv_scores = {}\n",
"cv_sd = {}\n",
"poly_rmse = {}\n",
"mod_x = np.sort(mod_x)\n",
"plt.figure(7, figsize=(10, 8))\n",
"plt.scatter(CAD_noon_avg, from_us.z, color = 'dodgerblue', alpha = .6)\n",
"\n",
"for d in degree:\n",
" # setup array to run a linear model with\n",
" ordered_array = sklearn.preprocessing.PolynomialFeatures(degree = d)\n",
" poly_x = ordered_array.fit_transform(mod_x)\n",
" \n",
" # create and evaluate model\n",
" poly = LinearRegression()\n",
" poly.fit(poly_x, mod_y)\n",
" poly_yhat = poly.predict(poly_x)\n",
" poly_rmse[d] = rmse(poly_yhat, mod_y)\n",
" poly_scores = cross_validation.cross_val_score(poly, poly_x, mod_y, scoring = 'mean_squared_error', \n",
" cv = 5)\n",
" cv_scores[d] = math.sqrt(-poly_scores.mean())\n",
" cv_sd[d] = poly_scores.std()\n",
" \n",
" # plot model\n",
" poly_plot_arr = model_plot_array(poly_x, poly_yhat, x_col = 2)\n",
" plt.plot(poly_plot_arr[:,2], poly_plot_arr[:,0], label = \"degree {}\".format(d),\n",
" alpha = .8, linewidth = 3)\n",
" plt.legend(loc = 'upper right')\n",
"\n",
"plt.ylabel('Monthly US Border Influx (z score)')\n",
"plt.xlabel('CAD')\n",
"plt.xlim([.6, 1.1])\n",
"plt.show()\n",
"\n",
"# show CV RMSE for each model \n",
"poly_cv_rmse = np.array(list(cv_scores.values()))\n",
"poly_rmse = np.array(list(poly_rmse.values()))\n",
"plt.figure(8, figsize=(10, 8))\n",
"plt.plot(degree, poly_cv_rmse, marker = 's', color = 'dodgerblue', label = 'Cross-Validation')\n",
"plt.plot(degree, poly_rmse, marker = 's', color = 'indianred', label = 'All Data')\n",
"plt.legend(loc = 'upper left')\n",
"plt.ylabel('RMSE')\n",
"plt.xlabel('Degrees')\n",
"plt.xlim([.5, 4.5])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 150,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" The RMSE of the second degree polynomial model using all of the data is 0.607655350061\n"
]
}
],
"source": [
"# Look at 2-degree model's RMSE with all data\n",
"print \" The RMSE of the second degree polynomial model using all of the data is {}\".format(poly_rmse[2])"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Considering all the data, increasing the degrees of the model decreases *RMSE*. However, we see that the second degree polynomial model gives the lowest cross-validation *RMSE* (.749), indicating that the third- and fourth-degree models overfit the data. Therefore, the second-degree model is the best model discussed here."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusion\n",
"\n",
"Overall, the second degree polynomial model best models the data and offers a slight improvement over a linear regression. In general terms, taking the CAD, along with its squared value, best models the monthly influx of US vehicles. This fairly straightforward interpretation is an added bonus to the model. \n",
"\n",
"Of course, this analysis has limitations. It's clear that there are likely several other factors that influence border crossing that are not discussed here. I only took a look at the CAD because of it's relevance right now (i.e. very low). Other factors, such as climate, might also be worthwhile to consider. As well, I couldn't find a reliable dataset of Canadian vehicles crossing into the US, and at the time of this writting, the US border patrol website is missing that dataset. Indeed, it would be interesting to see the effect of the dollar on Canadian border crossings. \n",
"\n",
"As always, questions and feedback are always welcome. Thanks for reading!"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
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"nbformat_minor": 0
}
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