immigration.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b16230df",
   "metadata": {},
   "source": [
    "# Number of U.S. Undocumented Immigrants Apprehended and Deported\n",
    "## Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c6698e42",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load data\n",
    "app <- read.csv('immigration_apprehended.csv')\n",
    "dep <- read.csv('immigration_deported.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a878e17",
   "metadata": {},
   "source": [
    "## Time Series Plot of Immigrants Apprehended"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fcefe213",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Dataset is backwards, need to reverse it\n",
    "year.num <- rev(app[,1])\n",
    "num <- rev(app[,2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b002e46f",
   "metadata": {},
   "source": [
    "### Plot Time Series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "953ed85d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tP+KN/hi1L+q0r77tL226VHSb9U2ver2g45QpFcpuNnSX2cv+++xsb+ixX3uRcy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",
      "text/plain": [
       "Plot with title “Undocumented Immigrants Apprehended in the U.S.”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(year.num, num, type='l', xlab='Year', ylab='Apprehended', lwd=2,\n",
    "     cex.axis=1.2, cex.lab=1.2, main='Undocumented Immigrants Apprehended in the U.S.')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8c575c5",
   "metadata": {},
   "source": [
    "### Check for Stationarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fd31dcc0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OTzyb91hjUPf5MnByRVJP1LM9AjAQIECKy8gCNIK29sDQQIECBAYNsQ1Cl0TXFU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\nRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Series  num”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "par(mfrow=c(1,2))\n",
    "acf(num)\n",
    "pacf(num)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c568493c",
   "metadata": {},
   "source": [
    "### Check for Constant Variance\n",
    "If lambda=0, a log transformation is not needed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "98e9db20",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Registered S3 method overwritten by 'quantmod':\n",
      "  method            from\n",
      "  as.zoo.data.frame zoo \n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Load library for Box-Cox lambda\n",
    "library(forecast)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "aade8b59",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "-0.139460708863116"
      ],
      "text/latex": [
       "-0.139460708863116"
      ],
      "text/markdown": [
       "-0.139460708863116"
      ],
      "text/plain": [
       "[1] -0.1394607"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check lambda value. If lambda=0, a log transformation is needed.\n",
    "# Log transformation not needed.\n",
    "BoxCox.lambda(num) # -0.139\n",
    "# First check the 95% confidence interval"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8032546",
   "metadata": {},
   "source": [
    "### Check for Constant Mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1c061c88",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tAugmented Dickey-Fuller Test\n",
       "\n",
       "data:  num\n",
       "Dickey-Fuller = -1.9355, Lag order = 4, p-value = 0.603\n",
       "alternative hypothesis: stationary\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load library for Augmented Dickey-Fuller unit-root test\n",
    "library(tseries)\n",
    "adf.test(num) # Data is not stationary (has a unit root)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1a2041ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+Psf+SXHab373kf/yhfdnhkprx3zSaY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eFdYm5RvKOi/VjvCA5/zqe/Ad0vaTnahj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\nBP4/IngmTe0V28YAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Undocumented Immigrants Apprehended in the U.S.”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dnum <- diff(num) # Take the difference\n",
    "par(mfrow=c(1,1))\n",
    "plot(year.num[-1], dnum, type='l', xlab='Year', ylab='Diff Apprehended',\n",
    "     main='Undocumented Immigrants Apprehended in the U.S.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "24bfc494",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pLOTz6YbJtoBAgQIECAAAECBAh0VKALZ5DemGN7dO/41hfFnplUkVSFUZ1J2ibZ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\nSUVORK5CYII=",
      "text/plain": [
       "Plot with title “Series  dnum”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ACF and PACF\n",
    "par(mfrow=c(2,1))\n",
    "acf(dnum)\n",
    "pacf(dnum)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0180ee2f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in adf.test(dnum):\n",
      "“p-value smaller than printed p-value”\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tAugmented Dickey-Fuller Test\n",
       "\n",
       "data:  dnum\n",
       "Dickey-Fuller = -4.3563, Lag order = 4, p-value = 0.01\n",
       "alternative hypothesis: stationary\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "adf.test(dnum) # Data is stationary"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd5ffd03",
   "metadata": {},
   "source": [
    "## Time Series Plot of Immigrants Deported"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "80369c2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define columns\n",
    "year.dep <- rev(dep[,1])\n",
    "rem <- rev(dep[,2])\n",
    "ret <- rev(dep[,3])\n",
    "# Remove NA in return column\n",
    "ret <- na.omit(ret)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fdbc9fcf",
   "metadata": {},
   "source": [
    "### Plot Time Series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f7dd8563",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zHodEOc92UnLtuBmon1gzpIjqrFtnnqH23bMPXxdqMcf2/fyfKP4wdThncrHXWf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\nBBBAAAEEEGiAwP8DTUIe6TwcHi8AAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Undocumented Immigrants Removed from the U.S.”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "par(mfrow=c(1,1))\n",
    "plot(year.dep, rem, type='l', xlab='Year', ylab='Deported', lwd=2,\n",
    "     cex.axis=1.2, cex.lab=1.2, xlim=range(year.dep), ylim=range(c(rem, ret)),\n",
    "     main='Undocumented Immigrants Removed from the U.S.')\n",
    "lines(year.dep[36:128], ret, type='l', col='blue', lwd=2)\n",
    "legend(\"topleft\", legend=c(\"Removed\", \"Retured\"), col=c('black', 'blue'),\n",
    "       lty=1:1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e81b834d",
   "metadata": {},
   "source": [
    "### Check for Stationarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "36218c91",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0h3zfr45fI+G1UvAgQIEJhIgfrh2LPGrNkDh5yubjFeR7AUAgQIEBhToM0NJL9c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\n1o5IcW9n4oYAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Series  ret”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "par(mfrow=c(2,2))\n",
    "# Removed data series\n",
    "acf(rem)\n",
    "pacf(rem)\n",
    "# Returned data series\n",
    "acf(ret)\n",
    "pacf(ret)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fff0dac",
   "metadata": {},
   "source": [
    "### Check for Constant Variance\n",
    "If lambda=0, a log transformation is not needed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9a3ae68f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.171922455218721"
      ],
      "text/latex": [
       "0.171922455218721"
      ],
      "text/markdown": [
       "0.171922455218721"
      ],
      "text/plain": [
       "[1] 0.1719225"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "-0.0419461115210978"
      ],
      "text/latex": [
       "-0.0419461115210978"
      ],
      "text/markdown": [
       "-0.0419461115210978"
      ],
      "text/plain": [
       "[1] -0.04194611"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check for for constant variance\n",
    "BoxCox.lambda(rem) # 0.172\n",
    "BoxCox.lambda(ret) # -0.042 - Need to apply log"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f42b348d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Apply log transformation\n",
    "logret <- log(ret)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7af6c078",
   "metadata": {},
   "source": [
    "### Check for Constant Mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f24d2814",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tAugmented Dickey-Fuller Test\n",
       "\n",
       "data:  rem\n",
       "Dickey-Fuller = -1.0015, Lag order = 5, p-value = 0.9346\n",
       "alternative hypothesis: stationary\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tAugmented Dickey-Fuller Test\n",
       "\n",
       "data:  logret\n",
       "Dickey-Fuller = -2.5817, Lag order = 4, p-value = 0.3364\n",
       "alternative hypothesis: stationary\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Augmented Dickey-Fuller unit root test\n",
    "adf.test(rem) # Data is not stationary (has a unit root)\n",
    "adf.test(logret) # Data is not stationary (has a unit root)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f530782c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EAAAQQWFaCBtKgJQxBAAAEEEEAAAQQQQKCgAjSQCrrj2WwEEEAAAQQQQAABBBBY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Uu/flfIFyteKd0ThlljJHWVbxTRs2UvZX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\nS54AAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Series  dlogret”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Difference the data\n",
    "drem <- diff(rem)\n",
    "dlogret <- diff(logret)\n",
    "par(mfrow=c(2,2))\n",
    "acf(drem)\n",
    "pacf(drem)\n",
    "acf(dlogret)\n",
    "pacf(dlogret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "69b5da72",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tAugmented Dickey-Fuller Test\n",
       "\n",
       "data:  drem\n",
       "Dickey-Fuller = -3.5154, Lag order = 5, p-value = 0.04378\n",
       "alternative hypothesis: stationary\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tAugmented Dickey-Fuller Test\n",
       "\n",
       "data:  dlogret\n",
       "Dickey-Fuller = -3.565, Lag order = 4, p-value = 0.04066\n",
       "alternative hypothesis: stationary\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check again\n",
    "adf.test(drem) # Data is stationary\n",
    "adf.test(dlogret) # Data is stationary"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46947f3a",
   "metadata": {},
   "source": [
    "## Determine the Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "e5c1f9fc",
   "metadata": {},
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in library(TSA): there is no package called ‘TSA’\n",
     "output_type": "error",
     "traceback": [
      "Error in library(TSA): there is no package called ‘TSA’\nTraceback:\n",
      "1. library(TSA)"
     ]
    }
   ],
   "source": [
    "# Load TSA library\n",
    "# This library won't load for eacf()\n",
    "library(TSA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "600c5be9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# EACF doesn't work on Jupyter Notebooks\n",
    "eacf(dnum) # ARMA(3,2)\n",
    "eacf(drem) # MA(1)\n",
    "eacf(dlogret) # AR(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5142efcf",
   "metadata": {},
   "source": [
    "## Build Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "4d684023",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = dnum, order = c(3, 0, 2))\n",
       "\n",
       "Coefficients:\n",
       "         ar1     ar2     ar3      ma1      ma2  intercept\n",
       "      0.3002  0.5091  0.0181  -0.3037  -0.6963  13022.939\n",
       "s.e.  0.3074  0.3243  0.1219   0.2900   0.2892   4880.557\n",
       "\n",
       "sigma^2 estimated as 2.773e+10:  log likelihood = -1264.47,  aic = 2542.94"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apprehended dataset\n",
    "arma <- arima(dnum, order = c(3, 0, 2))\n",
    "arma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "4c679262",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = drem, order = c(0, 0, 1))\n",
       "\n",
       "Coefficients:\n",
       "         ma1  intercept\n",
       "      0.2228   2817.769\n",
       "s.e.  0.0751   1583.083\n",
       "\n",
       "sigma^2 estimated as 213453597:  log likelihood = -1398.09,  aic = 2802.19"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Removed dataset\n",
    "ma <- arima(drem, order = c(0, 0, 1))\n",
    "ma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "fe6586fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "arima(x = dlogret, order = c(1, 0, 0))\n",
       "\n",
       "Coefficients:\n",
       "         ar1  intercept\n",
       "      0.4585     0.0326\n",
       "s.e.  0.0930     0.0564\n",
       "\n",
       "sigma^2 estimated as 0.08736:  log likelihood = -18.52,  aic = 43.05"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Returned dataset\n",
    "ar <- arima(dlogret, order = c(1, 0, 0))\n",
    "ar"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92d118b9",
   "metadata": {},
   "source": [
    "## Residual Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "86b1f8c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tBox-Ljung test\n",
       "\n",
       "data:  arma$residuals\n",
       "X-squared = 8.7912, df = 12, p-value = 0.7207\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tBox-Ljung test\n",
       "\n",
       "data:  ma$residuals\n",
       "X-squared = 10.67, df = 12, p-value = 0.5574\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tBox-Ljung test\n",
       "\n",
       "data:  ar$residuals\n",
       "X-squared = 12.719, df = 12, p-value = 0.3898\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Box.test(arma$residuals, lag=12, type=\"Ljung\") # Residual series is white noise\n",
    "Box.test(ma$residuals, lag=12, type=\"Ljung\") # Residual series is white noise\n",
    "Box.test(ar$residuals, lag=12, type=\"Ljung\") # Residual series is white noise"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c3a35a4",
   "metadata": {},
   "source": [
    "## Check for Significance\n",
    "### Immigrants Apprehended"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "62007723",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: zoo\n",
      "\n",
      "\n",
      "Attaching package: ‘zoo’\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    as.Date, as.Date.numeric\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Load lmtest library\n",
    "library(lmtest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "c16608a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "             Estimate  Std. Error z value Pr(>|z|)   \n",
       "ar1        3.0017e-01  3.0745e-01  0.9763 0.328894   \n",
       "ar2        5.0915e-01  3.2429e-01  1.5700 0.116408   \n",
       "ar3        1.8089e-02  1.2185e-01  0.1484 0.881989   \n",
       "ma1       -3.0372e-01  2.8996e-01 -1.0475 0.294888   \n",
       "ma2       -6.9628e-01  2.8919e-01 -2.4077 0.016053 * \n",
       "intercept  1.3023e+04  4.8806e+03  2.6683 0.007623 **\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in arima(dnum, order = c(3, 0, 2), fixed = c(0, 0, 0, 0, NA, NA)):\n",
      "“some AR parameters were fixed: setting transform.pars = FALSE”\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "             Estimate  Std. Error z value Pr(>|z|)\n",
       "ma2          -0.17026     0.11320 -1.5041   0.1326\n",
       "intercept  9647.96092 14689.82440  0.6568   0.5113\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coeftest(arma) # Model selected\n",
    "arma1 <- arima(dnum, order = c(3, 0, 2), fixed = c(0, 0, 0, 0, NA, NA))\n",
    "coeftest(arma1) # Variables are not significant for this model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4596eb4e",
   "metadata": {},
   "source": [
    "### Immigrants Removed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "cf9d3214",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "            Estimate Std. Error z value Pr(>|z|)   \n",
       "ma1       2.2284e-01 7.5104e-02  2.9671 0.003006 **\n",
       "intercept 2.8178e+03 1.5831e+03  1.7799 0.075088 . \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "    Estimate Std. Error z value Pr(>|z|)   \n",
       "ma1 0.237412   0.074489  3.1872 0.001437 **\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coeftest(ma)\n",
    "ma1 <- arima(drem, order = c(0, 0, 1), fixed = c(NA, 0))\n",
    "coeftest(ma1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "3056e15d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "2802.18543464856"
      ],
      "text/latex": [
       "2802.18543464856"
      ],
      "text/markdown": [
       "2802.18543464856"
      ],
      "text/plain": [
       "[1] 2802.185"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "2803.27643949683"
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      "text/latex": [
       "2803.27643949683"
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      "text/markdown": [
       "2803.27643949683"
      ],
      "text/plain": [
       "[1] 2803.276"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check AIC\n",
    "ma$aic # Model selected\n",
    "ma1$aic"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "392330ba",
   "metadata": {},
   "source": [
    "### Immigrants Returned"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "5b0d3ca0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "          Estimate Std. Error z value  Pr(>|z|)    \n",
       "ar1       0.458533   0.093028  4.9290 8.266e-07 ***\n",
       "intercept 0.032649   0.056439  0.5785    0.5629    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "    Estimate Std. Error z value  Pr(>|z|)    \n",
       "ar1  0.46159    0.09304  4.9612 7.006e-07 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coeftest(ar)\n",
    "ar1 <- arima(dlogret, order = c(1, 0, 0), fixed = c(NA, 0))\n",
    "coeftest(ar1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "7b4e0209",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "43.0479157889307"
      ],
      "text/latex": [
       "43.0479157889307"
      ],
      "text/markdown": [
       "43.0479157889307"
      ],
      "text/plain": [
       "[1] 43.04792"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "41.3814128654291"
      ],
      "text/latex": [
       "41.3814128654291"
      ],
      "text/markdown": [
       "41.3814128654291"
      ],
      "text/plain": [
       "[1] 41.38141"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check AIC\n",
    "ar$aic\n",
    "ar1$aic # Model selected"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9342e59b",
   "metadata": {},
   "source": [
    "## Check Stationarity (Calculating the Root)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "1af779f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".dl-inline {width: auto; margin:0; padding: 0}\n",
       ".dl-inline>dt, .dl-inline>dd {float: none; width: auto; display: inline-block}\n",
       ".dl-inline>dt::after {content: \":\\0020\"; padding-right: .5ex}\n",
       ".dl-inline>dt:not(:first-of-type) {padding-left: .5ex}\n",
       "</style><dl class=dl-inline><dt>ar1</dt><dd>0.300173493662254</dd><dt>ar2</dt><dd>0.509147042688898</dd><dt>ar3</dt><dd>0.0180889921453015</dd><dt>ma1</dt><dd>-0.303722220445098</dd><dt>ma2</dt><dd>-0.696276430012321</dd><dt>intercept</dt><dd>13022.938473217</dd></dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[ar1] 0.300173493662254\n",
       "\\item[ar2] 0.509147042688898\n",
       "\\item[ar3] 0.0180889921453015\n",
       "\\item[ma1] -0.303722220445098\n",
       "\\item[ma2] -0.696276430012321\n",
       "\\item[intercept] 13022.938473217\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "ar1\n",
       ":   0.300173493662254ar2\n",
       ":   0.509147042688898ar3\n",
       ":   0.0180889921453015ma1\n",
       ":   -0.303722220445098ma2\n",
       ":   -0.696276430012321intercept\n",
       ":   13022.938473217\n",
       "\n"
      ],
      "text/plain": [
       "          ar1           ar2           ar3           ma1           ma2 \n",
       " 3.001735e-01  5.091470e-01  1.808899e-02 -3.037222e-01 -6.962764e-01 \n",
       "    intercept \n",
       " 1.302294e+04 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>1.11981301244672-0i</li><li>-1.79717567766803+0i</li><li>-27.4694261994721-0i</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 1.11981301244672-0i\n",
       "\\item -1.79717567766803+0i\n",
       "\\item -27.4694261994721-0i\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 1.11981301244672-0i\n",
       "2. -1.79717567766803+0i\n",
       "3. -27.4694261994721-0i\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]   1.119813-0i  -1.797176+0i -27.469426-0i"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>1.11981301244672</li><li>1.79717567766803</li><li>27.4694261994721</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 1.11981301244672\n",
       "\\item 1.79717567766803\n",
       "\\item 27.4694261994721\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 1.11981301244672\n",
       "2. 1.79717567766803\n",
       "3. 27.4694261994721\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]  1.119813  1.797176 27.469426"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
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       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>1.00000079559156-0i</li><li>-1.43621004719544+0i</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 1.00000079559156-0i\n",
       "\\item -1.43621004719544+0i\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 1.00000079559156-0i\n",
       "2. -1.43621004719544+0i\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]  1.000001-0i -1.436210+0i"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ARMA(3,2) model for apprehended immigrants\n",
    "# Difference the data\n",
    "arma$coef\n",
    "polyroot(c(1, -arma$coef[1:3]))\n",
    "abs(polyroot(c(1, -arma$coef[1:3]))) # Model is stationary\n",
    "polyroot(c(1, arma$coef[4:5])) # No root matches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "13f1c089",
   "metadata": {},
   "outputs": [],
   "source": [
    "# MA(1) model for removed immigrants is automatically stationary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "e0c6b634",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "2.16642869758546+0i"
      ],
      "text/latex": [
       "2.16642869758546+0i"
      ],
      "text/markdown": [
       "2.16642869758546+0i"
      ],
      "text/plain": [
       "[1] 2.166429+0i"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "2.16642869758546"
      ],
      "text/latex": [
       "2.16642869758546"
      ],
      "text/markdown": [
       "2.16642869758546"
      ],
      "text/plain": [
       "[1] 2.166429"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# AR(1) model for returned immigrants\n",
    "polyroot(c(1, -ar1$coef[1]))\n",
    "abs(polyroot(c(1, -ar1$coef[1]))) # Model is stationary"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "308c5fbf",
   "metadata": {},
   "source": [
    "## Forecasting\n",
    "### Apprehended Immigrants"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "f855e5a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "     Estimate Std. Error z value Pr(>|z|)  \n",
       "ar1  0.263578   0.419399  0.6285  0.52970  \n",
       "ar2  0.478649   0.348680  1.3727  0.16983  \n",
       "ar3  0.025797   0.144078  0.1790  0.85790  \n",
       "ma1 -0.225305   0.405742 -0.5553  0.57870  \n",
       "ma2 -0.631812   0.297655 -2.1226  0.03378 *\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in arima(num, order = c(3, 1, 2), fixed = c(0, 0, 0, 0, NA)):\n",
      "“some AR parameters were fixed: setting transform.pars = FALSE”\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "    Estimate Std. Error z value Pr(>|z|)\n",
       "ma2 -0.16671    0.11287  -1.477   0.1397\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Add back the difference order\n",
    "arma2 <- arima(num, order = c(3, 1, 2))\n",
    "coeftest(arma2) # Model selected\n",
    "arma3 <- arima(num, order=c(3, 1, 2), fixed=c(0, 0, 0, 0, NA))\n",
    "coeftest(arma3) # Variables are not significant for this model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "bd9cc26e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Difference order added back\n",
    "pp <- predict(arma2, 5) # Predict the next quarters in 2009\n",
    "nn <- length(num)\t# Length of your data\n",
    "nt <- 5\t# Forecast horizon\n",
    "nb <- 20 # Number of data points you want to plot\n",
    "tt <- (nn-nb):nn # Indexes of data points you want to plot\n",
    "xxx <- num[tt]\t# Data you want to plot\n",
    "rr <- range(c(xxx, pp$pred, pp$pred+2*pp$se,\n",
    "              pp$pred-2*pp$se)) # Find the minimum and maximum y values in your plot\n",
    "year.num <- seq(1925, 2024)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "55904766",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AEIQAACEIAABCAAAQjUJYCDVBcPJyEAAQhAAAIQgAAEIACBMhHAQSpTb9NWCEAA\nAhCAAAQgAAEIQKAuARykung4CQEIQAACEIAABCAAAQiUiQAOUpl6m7ZCAAIQgAAEIAABCEAA\nAnUJ4CDVxcNJCEAAAhCAAAQgAAEIQKBMBHCQytTbtBUCEIAABCAAAQhAAAIQqEsAB6kuHk5C\nAAIQgAAEIAABCEAAAmUigINUpt6mrRCAAAQgAAEIQAACEIBAXQI4SHXxcBICEIAABCAAAQhA\nAAIQKBMBHKQy9TZthQAEIAABCEAAAhCAAATqEsBBqouHkxCAAAQgAAEIQAACEIBAmQjgIJWp\nt2krBCAAAQhAAAIQgAAEIFCXAA5SXTychAAEIAABCEAAAhCAAATKRAAHqUy9TVshAAEIQAAC\nEIAABCAAgboEhtQ9y0kIpCOwt6LvL60ivSJdK/1a6pcwCEAAAhCAAAQgAAEI5J4AI0i576Ku\nqOCCquU10qXSDOk66QXpe9IDkh0mDAIQgAAEIAABCEAAAhCAQCICWyvWTKk3Uez8RfqNqvS0\ntGasaovp+Cbp3xKjlTE4HEIAAhCAAAQgAIGCEPA9rO9lfU+LQaAlBLrZQVpPBDxq9P4aJJZU\n+BvSgTXOEwwBCEAAAhCAAAQg0N0ECuUgMcWuuy/GPNT+A6rE49I9kcpsov3w2npV+1dLu0bO\nswsBCEAAAhCAAAQgAIFcEghvYnNZOSrVFQQWVy1fitT0g9r/l7R9JMznHQ+DAAQgAAEIQAAC\nEIBArgngIOW6e7qicmNUy/Wl+SU7Qb+UbBvO3sz6dyP963gYBCAAAQhAAAIQgAAEck0ABynX\n3dMVlfPqdcOkz0s/lyZJf5X8bpJtlLSz5BXuMAhAAAIQgAAEIAABCEAAAoMS6OZFGty4I6QB\naZo0Uvqu9A9pH8nfQzpHwiAAAQhAAAIQgAAEikmgUIs0FLOLuq9V3e4gLSfkb0nvSh5Bekaa\nLk2VTpU8/Q6DAAQgAAEIQAACECgmARykYvZrR1vV7Q7SVaJ3r7SotLd0muS18NeRMAhAAAIQ\ngAAEIACBYhPAQSp2/3akdd3sIB0uYpOl8J0jA1xQ8reRtvUBBgEIQAACEIAABCBQaAKFcpBY\npKHQ12rbG7eqSjhD+qb0qBSap9qNk6JOU3iOLQQgAAEIQAACEIAABHJLAAcpt12T+4r52vm1\ndL90phQ3O0w4SHEqHEMAAhCAAAQgAAEI5JrAkFzXjsrlmcCxqtxmkr9x5PeN4vaIAnwOgwAE\nIAABCEAAAhCAQNcQYASpa7oqVxX1h2FPkY6RvGJdNWMEqRoVwiAAAQhAAAIQgAAEIACBQQl0\n0yINHnW8T7pykFZtpfNeqGGhQeJxGgIQgAAEIAABCECguwmwSEN39x+1b5LAt5V+hOSPw9az\nx3SyR+I9pHqUOAcBCEAAAhCAAAQgkCsCTLHLVXfkvjJbqobHS0dKLw1S2zd0/gUJB2kQUJyG\nAAQgAAEIQAACEMgPARyk/PRF3msyTBW8SLpM+mPCynqhBr+vhEEAAhCAAAQgAAEIQKArCOAg\ndUU35aKS/6taLCx9MUVtWKghBSyiQgACEIAABCAAAQh0ngAOUuf7oBtqsKMqacfoM5KnziU1\nHKSkpIgHAQhAAAIQgAAEIAABCLxHIM+r2A1XLcdJZ71X2+Q7OyjqNMkrm2AQgAAEIAABCEAA\nAsUkwCp2xexXWlWDwJkK75e+XuN8vWCPIM0vrV0vEucgAAEIQAACEIAABCCQFwJMsctLT+Sz\nHh9WtQ6SDpHebaCKXunudYmFGhqARxIIQAACEIAABCAAgewJ4CBlz7xbSlxKFT1POk26s4lK\neyU7lvpuAiBJIQABCEAAAhCAAASyI4CDlB3rbivpXFX4RenkJivOQg1NAiQ5BCAAAQhAAAIQ\ngEB2BHCQsmPdTSV5Wt2ekrd+/6gZ41tIzdAjLQQgAAEIQAACEIAABEpIIE+r2K0k/n5v6Bst\n6ofdlM9kCWe8RUDJBgIQgAAEIAABCOSMQKFWscsZ29JWJy8OUo964AbpdqlVDs0I5TVTWlPC\nIAABCEAAAhCAAASKR6BQDtKQ4vUPLWqCwNFKa2ftfdKMJvKJJn1WB+9IXsnuqegJ9iEAAQhA\nAAIQgAAEIJA3Aq0aJchbu6hPegJrKYlXrPuq9HT65DVTePToMYmV7Goi4gQEIAABCEAAAhCA\nQF4I4CDlpSc6Ww9/zPUi6VbpnDZUhYUa2gCVLCEAAQhAAAIQgAAEWk+AKXatZ9qNOXpBhnWk\nDdtUeS/1vU+b8iZbCEAAAhCAAAQgAAEIQKBgBDq5SMMmYumlvD/ZRqZ7K+9JbcyfrCEAAQhA\nAAIQgAAEOkegUIs0dA4jJUcJdMpB8sX8kHR5tDJt2F9befpdpJXbkDdZQgACEIAABCAAAQh0\nlkChHCSm2HX2Yup06d9VBZaWdmxzRcYof49SeaGG59pcFtlDAAIQgAAEIAABCECgYQI4SA2j\n67qEW6nGm1dqfb+2XpjhOOkj0qtSO22aMn9SsoN0fTsLIm8IQAACEIAABCAAAQg0QwAHqRl6\n3ZF2TVXzYmkLyctt29aVPKLzR+kaKQtjJbssKFMGBCAAAQhAAAIQgEBTBFjmuyl8uU+8gmro\npbs9QrSatEFFl2rrD8GOlhwnC/NKdnwLKQvSlAEBCEAAAhCAAAQgAIEuJ9CuRRouEJd7pKER\nPrtpf7rk9458znGysI+rkJezKIgyIAABCEAAAhCAAAQyJVCoRRoyJUdhNQm0w0Hy9Mm3pH0j\npS6u/QnS6ZWw/bR1nCymWm6scrySnReFwCAAAQhAAAIQgAAEikOgUA4SU+yKc2HGW2JHZGHp\n4ciJr2n/DelblbD/aus4S1WO27l5Qpl7Wh/T7NpJmbwhAAEIQAACEIAABJoigIPUFL5cJ35T\ntbNDsmyklmdq31PrplbCfM5xHLfdNkUFjJHWb3dB5A8BCEAAAhCAAAQgAIFGCeAgNUou/+ne\nVRVvkw6NVPUl7U+MHPuc40yOhLVz91FlzghSOwmTNwQgAAEIQAACEIAABApAoB3vIBnLdpK/\nQfQFH8TMYT7nOFnZaSro+qwKoxwIQAACEIAABCAAgUwIFOodpEyIUcigBNrlILnggyVPb7tP\nOrUi7zvsIClLO0SFjc+yQMqCAAQgAAEIQAACEGg7gUI5SFmsXtb2HqGAugQu0ll/C+mzkj8W\na7tB2l8a64MMzVPsVpQWkbx6HgYBCEAAAhCAAAQgAAEIQGAeAu0cQZqnsA4GDFfZXup7ZAfr\nQNEQgAAEIAABCECgNAT6g6FHTAn69mpzgws1gsQiDW2+Wsh+LgKTdOQpdizUMBcWDiAAAQhA\nAAIQgEBrCdys71z2B33n9AQ9P1PO01ube7FzY4pdsfs3j61jJbs89gp1ggAEIAABCECgUAS2\nCfrO7gmCj+iLLjsNC6bdUajGtbkxjCC1GTDZz0PgEYXwLaR5sBAAAQhAAAIQgAAEWklgxnkD\nwdTNh+IcpYbKCFJqZCRokoBHkPZsMg+SQwACEIAABCAAAQjUIdAbDHjVYqwBAowgNQCNJE0R\nsIO0mjSsqVxIDAEIQAACEIAABCAAgTYQwEFqA1SyrEvADpKvu3XqxuIkBCAAAQhAAAIQgEAS\nAj1aqe5z7wTBCkkiE2dwAjhIgzMiRmsJvKzsXpFYya61XMkNAhCAAAQgAIGSEXg+CBYcCHr/\nqJXqThsS9C5Wsua3rbm8g9Q2tGRchwALNdSBwykIQAACEIAABCAwGAGPGA0Neq+aGfQsNjOY\nOaov6Pf9FdYCAowgtQAiWaQmwFLfqZGRAAIQgAAEIAABCMwmoCl1m/UGffcEQc+7U4KpI3GO\nWntl4CC1lie5JSOAg5SME7EgAAEIQAACEIDAXASmBr17a0rdrRo1uunJYOrOw2e/ujBXHA4g\nUAQCW6sRM6XeIjQmQRs+oDhTJaZ4JoBFFAhAAAIQgAAEIBAS6A96H9B7R8eHxznZ+h7W97K+\np+164wa167uwKxvgEST/kNaQHu/KFlBpCEAAAhCAAAQg0AECvUH/Zh0otlRFMsWuVN2dm8aO\nV03ekljJLjddQkUgAAEIQAACEIAABEwAB4nroFMEPIq0fqcKp1wIQAACEIAABCAAAQhUI4CD\nVI0KYVkQYKGGLChTBgQgAAEIQAACXUlgSjBkF71v9OikIFiqKxvQxZXGQerizuvyqvMtpC7v\nQKoPAQhAAAIQgEB7CGgZ78/NH8x3rVY9uIpV6trDmFzzT6Bsq9i5R/aS3pZ6fIBBAAIQgAAE\nIACBshM4Sa+/yDn6sVap69f2sC7iUahV7LqIe6GrWkYHaU31qJeDHFHonqVxEIAABCAAAQhA\nIAGBl4NgETlGV0uvDgRDdkiQJE9RCuUgscx3ni6tctVlrJo7VfJCDc+Uq+m0FgIQgAAEIAAB\nCMwh8FwQLLBo0Hu7nhz3zQh6thoWTHtyzln2sibAO0hZE6e8kMB07fgbSCz1HRJhCwEIQAAC\nEIBAKQlMCYIZeufgD+8G/XKOpuIcdfgqYASpwx1Q8uJZya7kFwDNhwAEIAABCEAgCNaaNaum\n/zuwyAcBRpDy0Q9lrQUr2ZW152k3BCAAAQhAAAIQyCkBHKScdkxJqsUIUkk6mmZCAAIQgAAE\nIDCHwJSgb+05R+zljQAOUt56pFz18QjS4tJy5Wo2rYUABCAAAQhAoIwETpq1jHff/80fzLz7\n8iCYv4wMaDMEkhIo4zLfZuMlIadJO/oAgwAEIAABCEAAAkUl8LDue7SE9x+8jLe+cTSyYO0s\n1DLfjCAV7Orssub0q75PS6xk12UdR3UhAAEIQAACEEhOYGIQLLx20HdNoCW8ZwTBdr3BwN3J\nUxMzawKsYpc1ccqLE2ChhjgRjiEAAQhAAAIQKAyBSUGw5LCg968zg5mLTw/6t10gCMYVpnEF\nbQgjSAXt2C5qFgs1dFFnUVUIQAACEIAABJITOEnvHMk5ulkpeqfiHCUHR0wIiEBZ30Fy5x8k\nPe8dDAIQgAAEIAABCBSNgN43+uxrQbBo0doVa0+h3kGKtY3DDhEos4O0uZjPlBbrEHuKhQAE\nIAABCEAAAhBojkChHCSm2DV3MZC6eQKPKQs7SCzU0DxLcoAABCAAAQhAAAIQaJIADlKTAEne\nNIF3lMOz0vpN50QGEIAABCAAAQhAoIME3ubbjh2k37qicZBax5KcGifAQg2NsyMlBCAAAQhA\nAAI5IKB3jQ7qC3qfmxr0bpiD6lCFJgjgIDUBj6QtI4CD1DKUZAQBCEAAAhCAQNYE+oO+L/UE\nPRdoKe8v9wX9/826fMqDQBEJlHmRBvfn4dLYInYsbYIABCAAAQhAoNgENGJ08kDQ26/tAcVu\nad3WFWqRhrotLejJxdWuVaV1pBWlhaROW9kdpG3UAfqwdLBgpzuC8iEAAQhAAAIQgEBCAj0a\nOTpLztG7U4K+PRKmKWo0HKQu7NlNVefzpYmSV0yL62mFnSstLXXCyu4gLSHo7hP3EwYBCEAA\nAhCAAARyT0DO0dlyjl4fCIb4QW/ZDQepy66AE1Tf0CF6Rvt3SFdLl0nXSndLL0iO84rUieHR\nsjtIwh68KB3oHQwCEIAABCAAAQjknYAXZWBBhvd6CQfpPRT539lfVbTjY0doszrV7dG50dK9\nkuOPkrI0HKQguFnAT8kSOmVBAAIQgAAEIAABCLSEQKEcpKKvYre3unyM5O0DdbrfTtEt0q7S\nW9LBEpYtgUdUHN9CypY5pUEAAhCAAAQgAAEIxAgU3UHaWO29U5oaa3etw9d14iHJizdg2RJg\nqe9seVMaBCAAAQhAAAIJCeg9gIVOCoKi3zcnpFH8aEXvaL9btLk0NGFXeoU7O1WPJYxPtNYR\nsIO0ppS0r1pXMjlBAAIQgAAEIACBGgT8ntGSQd+TxwdDP10jCsEQ6CoCfunf0+eulEbWqbnf\nQdpO8oIN06SsVyPhHaQgWF7c3VdMsxMEDAIQgAAEIACBzhPQCnVba6W61/qD3t89HAR+zwar\nTqBQ7yBVb2JxQu34HCu9I/nme7x0l3SNdGll6yl4z0s+PyAdI2VtOEizib+hzX5Zw6c8CEAA\nAhCAAAQgECcwJRjyQTlH72g573NOYnpdHE/8GAcpTqQLjldXHe0QTZDsCEVl5+lJ6XRpZakT\nhoM0m7qd1f/XiQ6gTAhAAAIQgAAEIBAS0LS6/eUc9Wv7vTCMbV0COEh18eT/5HBV0Y7QWtKi\nOakuDtLsjvilNpfkpE+oBgQgAAEIQAACJSQgp2hjOUdTpK+XsPmNNrlQDlLRF2mo1snzK9By\n2xeWFpKwfBBgJbt89AO1gAAEIAABCJSWwIxgxlIzguCMoUH/D0oLgYaXgsCmauX50kQpOr0u\n3H9a4edKS0udMEaQZlPfQ5t3pTI67p247igTAhCAAAQgAAEItIJAoUaQWgEk73mcoAqGjtAz\n2r9Dulq6TLpW8sp1L0iO84p0gJS14SDNJr6aNu4HvzOGQQACEIAABCAAAQh0BwEcpO7op1m1\n3F//+obbjtBms0Kq/+PV7kZL90qOP0rK0nCQZtP2yJFHkD6UJXzKggAEIAABCEAAAhBoigAO\nUlP4sk18sYrz9Lm+hMX6Q7GTpHMSxm9VNBykOSQf0O7X5hyyBwEIQAACEIAABNpLYGwQDGtv\nCYXPvVAO0pCCd9fGap+Xjp6asJ2vK95D0ooJ4xOt9QRYqKH1TMkRAhCAAAQgAIEaBPSdo7N7\ngpkrBUH/h2tEIbhkBIr+MrzfLdpcGpqwXz2CZKfqsYTxidZ6AjhIrWdKjhCAAAQgAAEIVCHg\n7x3JOToiCGawYl0VPgQVk8CBapbfKbpSGlmniX4HaTvJCzZMk7aRsjSm2M2hva9235hzyB4E\nIAABCEAAAhBoPYHJQbCavnX0hvSt1udeuhwLNcWu6L1nx+dY6R3JjtJ46S7pGunSytZT8J6X\nfH5AOkbK2nCQ5hBfT7vuixXmBLEHAQhAAAIQgAAEWkfgPs0u6g967x4I+m48ic+LtAIsDlIr\nKGach5eNtkM0QfLNd1R2np6UTpdWljphOEhzqHs6ZL+0y5wg9iAAAQhAAAIQgEDrCGhq3Q/l\nHL30dhAs17pcS50TDlKXd/9w1d+O0FrSojlpCw7S3B3xiA6/OHcQRxCAAAQgAAEIQKB5AgPB\nkFGaVjd9SjBk1+ZzI4cKgUI5SEVfpKHaVTu/Ai23fWFpIQnLFwEWashXf1AbCEAAAhCAQGEI\n9AfTxs0Ign2HBdOuL0yjaAgEGiCwqdKcL02UotPrwn1/K+lcaWmpE8YI0tzUv6vDf8wdxBEE\nIAABCEAAAhCAQE4JFGoEKaeMW1qtE5Rb6Ag9o/07pKuly6RrJa9c5+XAHecV6QApa8NBmpu4\n++CluYM4ggAEIAABCEAAAhDIKQEcpJx2TLVq7a9AOz52hDarFqES5tXuRkv3So4/SsrScJDm\npu0RP/fDEnMHcwQBCEAAAhCAAAQgkEMCOEg57JRaVbpYJzx9rq9WhFi4PxQ7STonFt7uQxyk\nuQkvoENNDw62nTuYIwhAAAIQgAAEIJCOwKtBMNwLM6RLReyUBArlIBV9kYaN1bn+ztHUhJ38\nuuI9JK2YMD7R2kNA324Lxkn+JhIGAQhAAAIQgAAEGiXQMzzovVTrc53SaAakKx+BojtIL6hL\nN5f8bZ0k5hEkO1WPJYlMnLYS8FLf67e1BDKHAAQgAAEIQKDQBPSto6+ogaOnB8GRhW4ojYNA\nCgIHKq7fZblSGlknnd9B2k7ygg3TpG2kLI0pdvPS/qGC/jZvMCEQgAAEIAABCEBgcAL9wdAt\n9b2jfm0PGjw2MZokUKgpdk2yyH1yOz7HSu9IdpTGS3dJ10gabp21vVPb5yWfH5COkbI2HKR5\niX9GQV51EIMABCAAAQhAAAKpCLwWBIv2B31j+oPeX6dKSORGCeAgNUqug+lWV9l2iCZIdoSi\nsvP0pHS6tLLUCcNBmpf6VgryQg3+mC8GAQhAAAIQgAAEEhOQY/Q76bEXg2ChxImI2AwBHKRm\n6OUg7XDVwY7QWtKiOaiPq4CDNG9HuG/syG4x7ylCIAABCEAAAhCAQHUCmlI3UlPrJk8Nev1e\nOZYNgUI5SEVfpKHaJTG/Ai233aMTPFkQhBzam6qTF9lgJbscdg5VggAEIAABCOSVwKnBwL39\nQf8afUG/VybGIACBGgQ2Vfj50kQpOr0u3H9a4edKS0udMEaQqlO/UcHfr36KUAhAAAIQgAAE\nIACBnBAo1AjSkJxAbWc1TlDmJ1cKeFZbL8qgd/eCtyVP41pCWkX6rLSf9CXpEgnrPIFHVQVG\nkDrfD9QAAhCAAAQgAAEIQKAgBPZXOzxKdK20WZ02ebW70dK9kuNn/bVlRpAEvYp9XmFPVAkn\nCAIQgAAEIAABCEAgPwQYQcpPXwxak70VY4zk7dQ6se0U3SLtKnlp6YOlO6RGbUkl9Hd8kn6g\ndvlGCyp4Oo8grS75R9df8LbSPAhAAAIQgAAEGiAwRfcKPUHvwXrn6KQGkpMEAvMQKPoUO69e\n4il19ZyjKJTXdeAX+laMBjawP0Np9HudtUx1kuR9lUh2qHAE5hCzg+QFNdaW/jsnmD0IQAAC\nEIAABCAQBA/rIep8Qe/vNRXIn3LBIACBBASuVxzfZCcdyVlccSdJHv3J0o5QYR7FYkW9eam/\nqqCPzRtMCAQgAAEIQAACZSegJb3PHAj6nn+rcwttlb0LwvZ7to/vZf3aSNebl7ousl2oxq0r\n/VEaWaehfgdpO+lv0oLSFRKWDwJ2cFmoIR99QS0gAAEIQAACuSGg7xx9pCfoOXpaMP3ARYLg\n5dxUjIp0PYGiT7G7RD20jHSKtJfk4dfxkkclPFI0XFpCGiH5PaBp0nHS7RKWDwI4SPnoB2oB\nAQhAAAIQyA2Bd4NgZT3l/5XeaTh1gWDazbmpGBWBQBcR8Iv+l0p2kDz8F9U7On5SOl1aWeqE\nMcWuNvVjdcrvhWEQgAAEIAABCEAguFzvJ/cHfbdJt3gfJLkgUKgpdrkgmnElPGpkR2gtyd9B\nyoPhINXuhd10ygte8AewNiPOQAACEIAABEpDYLJm/vQHvf/VKNJKpWl0/htaKAep6FPsql1O\nvtG2/P7VwpKn1XkUCcsngUdULa/y51FAj/RhEIAABCAAAQiUmMACsz7J0r9hiRHQ9DYTsJNQ\nBttUjTxfmii9Jo2VHpP8PtLb0tPSudLSEpYvAs+pOnZgWaghX/1CbSAAAQhAAAIQgEAhCZTB\nQTpBPfeAdJikUdlZ30W6RtvfSV617h5pQemzkhcEOEDC8kPA74vZmcVByk+fUBMIQAACEIAA\nBCAAgS4lsL/q7Rvsa6XN6rTBy3yPlu6VHH+UlKXxDlJ92hfptJdsxyAAAQhAAAIQgAAE8keg\nUO8gFX0EaW9dP2Mkbz2KVMvsFN0i7SrpW2PBwRKWHwIe2WMEKT/9QU0gAAEIQAACmRLQB2GP\nkEZmWiiFlZZA0R2kjdWzd0pTE/bw64rnJaVXTBifaNkQsIPkD/5iEIAABCAAAQiUjIA+CLu+\nPgh79oxg5uIlazrN7RCBojtIL4jr5tLQhHz9w7NT5XdesPwQ8Ep2+kh2x75TlR8S1AQCEIAA\nBCBQMgLzBT0/DoKeG4cF0/zuOAYBCDRJ4ECl9/S5K6V6w7J+B2k76W7Jy35vI2VpvINUn7aX\nZfcooKdAYhCAAAQgAAEIlITAlKBvz4Ggd0CjSEy1z3efF+odpKJ/B+kSXUvLSKdIe0kTJC/t\n/ao0SRouLSGNkJaX7BwdJ90uYfkhMF1VeUJaX7o+P9WiJhCAAAQgAAEItIvAfZoBNF8w84yZ\nwcyz+4IBT7fHIACBFhJYXXldKtlB8ohSVP7Gjj9Aerq0stQJYwRpcOqXK4q/VYVBAAIQgAAE\nIFACAgNB33EaPXrljSDg3aP89zcjSPnvo3lq6JXsPlkJ9ajRotIwaaL0poTln4CfHO2Y/2pS\nQwhAAAIQgAAEmiXwcBDohnvmtzV6dPxiQeBFtDAIQCAjAp5at6u0ibRARmVWK4YRpGpU5g77\nuA5fmTuIIwhAAAIQgAAEikpgSjDkgycFQdEXFCtK9xVqBKkonVKrHZ/TiUukuPOzkcLCj8KG\n0+00ght8Q/KCAFkbDtLgxL26oPtq6cGjEgMCEIAABCAAAQhAIEMCOEgZwm62qF8pA99Ue0pd\naH7PyM6Qw+0knSPZifLiDQ47Q8racJAGJ+4pkV6sYfTgUYkBAQhAAAIQgAAEIJAhARykDGE3\nW1Q1B+liZWpH6AuxzBfUcXhul9i5dh/iICUj7MU0jkwWlVgQgAAEIAABCEAAAhkRKJSDVMZ5\nnaN0odwjnRW7YN7V8eGSlwDfKXaOw3wQ8EINfAchH31BLSAAAQhAAAItJ6AnoX0tz5QMIZCS\nQBkdJK9i958anCYr/DFpwxrnCe4sgUdU/PqdrQKlQwACEIAABCDQDgJa1vtrI4K+69qRN3lC\nIA2BMjpI9wuQF2moZksqcEvphWonCes4AUaQOt4FVAACEIAABCDQegL6KOXyegPihCCY8ZvW\n506OEEhHoCwOkqfU+f2ir0h3SFtIH5aitooOPO3Ocyj/GT3Bfm4I2EFaUfIoIAYBCEAAAhCA\nQEEIDA16v68XxJ88NRi4oCBNohkQyC2Bj6pmf5LGSF6YIapndRzah7QzIPn87VKPlKWxSEMy\n2osomvtoZLLoxIIABCAAAQhAIO8E+oOhWw4EvdMHgiHb5b2u1K8mgUIt0jCkZjOLceIPaoZl\n81Lf/iBsqKgT5G8f+f2jS6VjJd+EY/kj8Jaq5OXYvVDD3fmrHjWCAAQgAAEIQCA9gZ4zdeP1\nh95g2q3p05ICAhBoFwF/SHZouzJPkC8jSAkgVaJcr+1pyaMTEwIQgAAEIACBvBKYGvQeoNGj\nyXpKPSKvdaReiQgwgpQIU3dF8ugR1h0EWMmuO/qJWkIAAhCAAAQGJdAT9GyliTsn6kn1M4NG\nJgIEMiJQ9Cl2GWGkmAwJPKqy9sywPIqCAAQgAAEIQKBNBHqDqV9qU9ZkC4GGCZRlFbuGAZEw\ndwQ8grSaNCx3NaNCEIAABCAAAQhAAAJdT6DoI0h+t6eRJaG9FPidXd+7xWyAR5Ds2K8j/buY\nTaRVEIAABCAAAQhAAAKdIlB0B+kogfWqdWntJCXAQUpLLZv4r6gYaz0JBykb5pQCAQhAAAIQ\ngAAESkOg6A7S7upJfwdpa+kv0q+kJPZ4kkjE6RgBFmroGHoKhgAEIAABCDRFoEffPTp6QjBw\nvubLT2kqJxJDAAINE+hTyrukqdKmDefS3oQs852O7zmK/vt0SYgNAQhAAAIQgECnCcg5+rSW\n9X57UhAs1em6UH5LCRRqme8yLNJgx+iwyiXws5ZeCmTWKQJ+D8lT7DAIQAACEIAABLqEwMtB\nsEhPMN+pqu7/6gVxT5fHIJBLAmVwkAz+Yel4yQs2bCRh3U3gVVXfizQcKY2W5pcwCEAAAhCA\nAARyTGB40PutmZrRMz7oPz3H1aRqEIBATggwxS5ZRyysaBdJMyT9jQ3GSAOS3xkbJWEQgAAE\nIAABCOSQgF42Wl1T66ZMDXr3z2H1qFLzBAo1xa55HOTQCgI4SINT9IIit0h2hraRNH052Efy\nHOb/kyZLW0oYBCAAAQhAAAI5IyDn6E/9QZ//H8eKSQAHqZj92tFW4SANjt/T6V6TVqxEvVtb\nT5sM7TfaeSA8YAsBCEAAAhCAQD4IDARDRslBmq4FGvK6WFY+QHV3LQrlIJXlHaTuvuSovQkc\nIJ0nTfCBLL5Qw4kK8x/edX0SgwAEIAABCEAgHwSmBtOe1tz4T/QGA//KR42oBQTqE8BBqs+H\ns/khsIaq8lCkOl54Y+PIsd9HekdyPAwCEIAABCAAgZwQ0AvEL/UF/XyeIyf9QTUGJ4CDNDgj\nYuSDwBuqxtKRqvjbVhtIC1bCFtJ2AenNyjEbCEAAAhCAAAQgAAEIpCaAg5QaGQk6ROBGlfsp\nqadS/oOV/XBhhgN1/JZ0b+U8GwhAAAIQgAAEIAABCECgSwmwSMPgHbeSongU6adS+N0jO0lf\nl7aVvKrdcRIGAQhAAAIQgAAEIJAtgUIt0pAtOkqrRQAHqRaZucO316FXsvMCDadKXsluvDRd\nsuMUji5pF4MABCAAAQhAoFME+oPey7Rq3VGdKp9yMyeAg5Q58uIXiIOUvI/9HpJXrPu79JT0\ntrSdhEEAAhCAAAQgkAMCU4Ihu2lZ72n6KOyGOagOVciGAA5SNpxLVQoOUmPdvZGSzZSWaSw5\nqSAAAQhAAAIQaCWBm4NgiEaPHtVHYX/eynzJK/cECuUgsUhD7q83KliHgKfaTZa2rhOHUxCA\nAAQgAAEIZERgm6DvaM13X3ZKMPWEjIqkGAi0nAAOUsuRkmGGBKapLK9a9/4My6QoCEAAAhCA\nAASqENBqSUv2BDNPnBn0nDQ8CF6tEoUgCHQFARykrugmKlmHwD06N7LOeU5BAAIQgAAEIJAB\ngWFB33c07/3F24OpZ2dQHEVAoG0EcJDahpaMMyLglew2y6gsioEABCAAAQhAoDqBHk2t229G\nMOOYHYPAMzwwCHQtARykru06Kl4h4BGkxaV1IQIBCEAAAhCAQMcIzPxzMHXFYcG0GzpWAwqG\nQIsI4CC1CCTZdIzAsyr5ZYlpdh3rAgqGAAQgAAEIBMHHZn+XEBQQ6HoCOEhd34U0QATulFio\ngUsBAhCAAAQgAAEIQKBpAjhITSMkgxwQ8DQ7HKQcdARVgAAEIAABCEAAAt1OAAep23uQ+puA\nHSR/NNYfKcMgAAEIQAACEIAABCDQMAEcpIbRkTBHBO5XXfokVrPLUadQFQhAAAIQgAAEINCN\nBHCQurHXqHOcwGsKeFximl2cDMcQgAAEIAABCEAAAqkI4CClwkXkHBPgPaQcdw5VgwAEIAAB\nCEAAAt1CAAepW3qKeg5GwB+MZanvwShxHgIQgAAEIAABCECgLgEcpLp4ONlFBDyCtIa0WBfV\nmapCAAIQgAAEIAABCOSMAA5SzjqE6jRM4CGlnCYxitQwQhJCAAIQgAAEIAABCOAgcQ0UhcBU\nNeQBCQepKD1KOyAAAQhAAAIQgEAHCOAgdQA6RbaNAAs1tA0tGUMAAhCAAAQgAIFyEMBBKkc/\nl6WVdpC2KEtjaScEIAABCEAAAhCAQOsJ4CC1nik5do6AHaRlpdU6VwVKhgAEIAABCEAAAhDo\nZgI4SN3ce9Q9TuBJBbwp8cHYOBmOIQABCEAAAhCAAAQSEcBBSoSJSF1CYKbq6e8h4SB1SYdR\nTQhAAAIQgAAEIJA3AjhIeesR6tMsAU+zYyW7ZimSHgIQgAAEIAABCJSUAA5SSTu+wM32CNIm\n0vwFbiNNgwAEIAABCEAAAhBoEwEcpDaBJduOEbhfJS8kbdSxGlAwBCAAAQhAAAIQgEDXEhjS\ntTWn4hCoTuAFBT8j+T2kB6tHIbRNBLZSvvtLq0ivSNdKV0l+NwyDAAQgAAEIQAACXUFgMAfp\nR2rFqg205HdKc3kD6UgCgVYQ8DQ7v4d0XisyI49BCQxVjHOlQ6SbpMelFaTLpPukfSU7TBgE\nIAABCEAAAhDoegJ+Au+nv/X0Vuz8uzr+poQlJ3CEopqxp4ZhzRM4Tln8p/lsyCEMLoaHAABA\nAElEQVQhgZ8q3otSfPXAlRX2gHSr1CNhEIAABCAAAQgUk0CvmuV72a2L2by5WzVch4tHtIX2\n35A8bcZP6IdJtoWlvaTHpL9Ig41MKQoWIYCDFIHRgt3tlMc0acEW5EUW9QmsrtPTpV1qRFtR\n4e9IHkXCIAABCEAAAhAoJoFSOUjxLvT0mX9ItVYIG6FzHkH6vIQlJ4CDlJxVkph22O0g7ZAk\nMnGaInCUUj8Vy8HvIEXNU25/GQ1gHwIQgAAEIACBQhEolIOUZhW7PnXjKOn3kp8YVzO/HO9p\nedtWO0kYBDIi8LbK+a8Un/KVUfGlKmZptXa8tIT0Rcm/f/8d+B8pNJ93PAwCEIAABCAAAQjk\nnkCaqXB+Iu+pMn75upZ5ZGlV6bZaEQiHQEYE/MFYHKT2wvZ7RX5vbkvpeek16dfS+dJPJL8H\ndo20tvSchEEAAhCAAAQgAIHCEbhELXpLqvYClkeYfiH5BS2/A4IlJ8AUu+SsksY8TBG5KU9K\nK108v1f0LWmMNCD54cnpkh+QhPYd7bwp+d1Ex9lJwiAAAQhAAAIQKCaBQk2xS9tFmyjBBMlO\nkN9HOks6VbpQ8jQah58rpZm6p+ilNxyk1l8CGylLX4/Ltj7rUuY4VK3eR/KIkB2iJyRPo1tO\n+obkaY2flELz6NI/pX7pz2EgWwhAAAIQgAAECkmg1A6Se9Q3RNdKkyXfgIYap/1jJCw9ARyk\n9MwGS+HRDE8J/chgETlfl8A6OvsD6SXJC7BcJI2W4vZNBUyRxknXSX4HbIbkaXfXS9HRJR1i\nEIAABCAAAQgUiEDpHaSwL33Ds77kqTNLhYFsGyKAg9QQtkETeQTDI5xlt5UE4CTJy/Nb3ndY\nLfN7RYdKt0p+AHKf5JUpF5Xqmd9PPFIy869I/vuwhvSq5Cl4GAQgAAEIQAACxSSAg1Tp1wW0\n9TSmkZVjPnJaAdHABgepAWgJknjk48YE8Yoc5RNqnEd+HpJ+VJH3HfZxKWpe1MJTZCdJHvn5\nmfQ+qVnbWRn4PaSDms2I9BCAAAQgAAEI5JJA6R2kVdQtl0uePuOny37KbPuzdIrkxRqwdARw\nkNLxShr7o4r4uuT3Ycpoo9RoOybHSVEG3neYz+0mHSPZafJv+u/SAVL4EWjttsS+pFw8LddO\nGAYBCEAAAhCAQLEIlNpBWl59+Ypkx+gRaZwUOkhXaN/hfveg1TdXyrLQhoPUnu61M+9rcr32\nZJ/7XG9SDf3OUNzsIO0ijZX8TbPxkh9urC61036lzCdI/juCQQACEIAABCBQHAKldpD8kVi/\n+L5tpT//pG3oIM2vfd9k+Yb0cxKWnAAOUnJWaWN6cYFD0iYqQHxPgbXzs32kLcto/wTJjpFH\nj26RHCer6bEeXb5DuktipFkQMAhAAAIQgEBBCBTKQZovZafsrPg/l26rks43WidL/vbJVlXO\nEwSBThDwzXgZp3Utpnb79/1CBLpHcA6Vzpa8SMPhkuMMl7KwqSpkX2lFye86YRCAAAQgAAEI\nQCB3BNI4SL6JWlx6vE4r/FT64Uq8OtE4BYHMCNyjksroIL2sdr8reSU528LSLtJR0g8lj6z5\nnEeEHTcre1EF+XtKXiDi2KwKpRwIQAACEIAABCCQlEAaB8krW/nmZss6mduJ2kB6rE4cTkEg\nSwJ3q7CNJQ/9lsmmqbF/lL4hDZH2lPqlmyWbw3zuT5LjZmn3qTCPXtlR+0CWBVMWBCAAAQhA\nAAIQaDUBT9HxzdQXJD+R9s1V+A6Sp/SECzV4Kh6WnADvICVnlTamRz1nSmWc9ulpdB4p8u/y\nL9LFks2LJDjM5xynU3aaCn5NWrNTFaBcCEAAAhCAAARaQqBQ7yClJWIn6FnJN5xvSh5RmiD5\nZssfg3T4BRKWjgAOUjpeaWN7RPNLaRMVJP66aseD0gxpjPSA5Kmw/5J8rpPmEey/Sp6Wu0gn\nK0LZEIAABCAAAQg0RaDUDpLJLSWdI/mFaztEoewgfVGaX8LSEcBBSscrbewLlSAcPUmbtgjx\n91Ij/Hv9pvQVaXvJS33nwRZVJezAXimlmfKbh7pTBwhAAAIQgAAEZhMovYMUXgh2hFaX/DHK\nFcJAtg0RwEFqCFviREcr5pOJYxcv4i/VJDsgebV1VLE3pO/ltYLUCwIQgAAEIACBugRwkOri\n4WQjBHCQGqGWPI0XFvEUM7+PVDbzqIzfNfp0zhu+u+rn9xu9uh0GAQhAAAIQgEB3ESiUg+SV\nrOrZj3Ry1XoRapz7ncIvr3GOYAhkTeAhFej3bkZKf8u68A6Xt53KX1K6usP1GKz4axXBUwC9\nEMwTkt+RwiAAAQhAAAIQgEDmBAZzkLwa3fsGqdXbOu8V7UKbrB0v44tBIC8E/P6Nb7j9PaSy\nOUj7qM23Sll+60jFNWRe9tt/b7zoi0f9JkoYBCAAAQhAAAIQyBWB4aqNpyWF2kL7flfgKslP\n44dJNjtIfhHcL1v/RRrM8VIULEKAKXYRGG3a/anyzfsoSjuaPlaZevGUbjH/TblXukUa2i2V\npp4QgAAEIACBkhMo1BS7tH15kxL8Q6q1Ut0InXtX+ryEJSeAg5ScVaMxP6WEfhenTLaZGutV\nJv277CZbUZV9QTq3mypNXSEAAQhAAAIlJlBaB6lPnT5F8opg9ewOnby4XgTOzUMAB2keJC0P\nWEs52llYreU55zfDU1Q1j8Z0o22tSntq5FHdWHnqDAEIQAACECgZgUI5SGm+O+IVpt6R6i3p\n7ZGlVaUJEgaBPBF4SpXx9FC/h1QW8/tHf+7Sxt6peh8pnSntIGEQgAAEIAABCEAglwQuUa3e\nkvx0N24eYfqF5Kf0XjkLS06AEaTkrJqJeZ0Sn9FMBl2Udk3V1b/F9bqoztWq+hMFviytWu0k\nYRCAAAQgAAEI5IJAoUaQ0i6m8AN1wfaSp9HdLD0iTZL8zoBXvPP2POl2CYNA3gjcrQrtlLdK\ntak++ynfJ6VH25R/Vtkep4I2lLz4yyjJo9gYBCAAAQhAAAIQyBWB5VSba6XJkp9Qhxqn/WMk\nLD0BRpDSM2skxZ5K5BvsWouMNJJnXtPcpYp9P6+VS1mvJRTfUyT/IPVIC0l+ULO7tKqEQQAC\nEIAABCDQWQKFGkFqBqVvMteX/ER+qWYyIm2Ag5TNRbCsirFDv0k2xXWslOVV8gypSO9bbaD2\neLT6H5KdXL8T6RUz3Z83S2tLGAQgAAEIQAACnSGAg9QZ7oUuFQcpu+4dq6I+l11xHSnJK79N\nkDzaUhRzW26X7Pj9SPI7j7aNpb9Kr0o4SYKAQQACEIAABDpAoFAOUppV7DrAmiIh0HIC9yjH\nIo2sVAPk1ev+JHl0pSj2CTXEI38/kz4rrSXZHpI8ddLvl50rYRCAAAQgAAEIQKApAmkXaXBh\nnlJ3kLSMtIBU7Sn1rxV+oYRBIG8E7CAdmrdKtbA+iymv7aWivH8UovmMdn4l+T1HTyG8UtpS\n8siRR5W+IdlZWk3yKCEGAQhAAAIQgAAEMiHwMZXip9KD6aRMalOcQphil11fegl6v7+ycHZF\nZlrSwSrNTkMjDz8yrWjKwsYr/qcqaRbU9kHJK9tFze8m7RENYB8CEIAABCAAgUwIFGqKXVpi\njyvB29IBkp/ieqGGaqo2qqSoWA0COEg1wLQh2Cug2UHaoQ155yFLfxj213moSIvr8ITy+3wk\nzx20735ctBLmd5KK3K+VZrKBAAQgAAEI5JJAaR0k31h6Kssvctkt3V0pHKRs+8+jD1/PtshM\nSvOUV4+ifCST0rIt5HwVd1OkyKHa96p2H62EfVzbdyX/ncIgAAEIQAACEMiWQKEcpDSLNEwW\nZ9+Q+AYMg0A3E/AL/SO7uQE16r5bJfyGGue7Ofh0Vd4fig0d2wHt/11ym9eRzpR+IvH3SRAw\nCEAAAhCAAASyI+A5/xOkNI5VdrXr3pIYQcq27w5Tcc9lW2QmpV2kUv6YSUmdKcSjRVMkO0ZH\nSh5VekvytF+v2le0967UJAwCEIAABCDQFQQKNYKUlvgySvCk5JuR0dIq0pJV5Kk+WHICOEjJ\nWbUi5kbKxAuNLNeKzHKSh50DL85wYE7q065qrKuMfyn579CLkvvxGxLvPQoCBgEIQAACEOgQ\ngVI7SHcJ+psSq9i19urDQWotz8Fy88IiHnXYe7CIXXR+F9XV084W76I6t6KqjyqTr7YiI/KA\nAAQgAAEIQKBhAoVykNJOSfmXsD2fAJ1vWjAI5JXAdFXsPun90hV5rWTKeu2r+F7E4PWU6bo9\n+t/UgN0kv6OEQQACEIAABCAAAQgUhAAjSNl35A9U5I3ZF9uWEj29bLx0ZFtyz3emH1T1/F6S\nv42EQQACEIAABCDQGQKFGkFqZrEFv2fkdznC1cBYXrczFySlNkbgHiXbQirCuyv+Da4gXSmV\nzW5Rgz3ld6eyNZz2QgACEIAABCDQHgKNOEhemOFyycvpPiSFU1t+q/1TJH+wEYNA3gl4qW9/\nZHTdvFc0Qf32URy/H5hk+muC7LoqymTV9p+Sp9lhEIAABCAAAQhAoGkCaR2k5VXiA9L+0mPS\nM1JofhL/Lel+aVgYyBYCOSXgZb5fkvweUrebF5v4c7c3oon6+z0kT7XDIAABCEAAAhCAQNME\n0jpIP1WJnlq3nbS+ZGcptP208z1pA+mQMJAtBHJMwKNI3e4g+fe2tlSUxSYauVzsIK1ZUSPp\nSQMBCEAAAhCAAATeI5DWQdpZKX8u3fZeDnN2vDLYyZKXAd9qTjB7EMgtATtI4Tt0ua3kIBXz\n9Lr/SP4uUFktHM1mml1ZrwDaDQEIQAACEGghgTQO0nCV62+sPF6nfH+H5eFKvDrROAWBXBDw\nQg1eaKSb35uzg1Tm6XXhheRRJBykkAZbCEAAAhCAAAQaJpDGQZqkUl6UtqxTmp0oT/nxE10M\nAnkn4G8hDZU2zXtFa9TPC6ZsJuEgBYEdpB0kLzOKQQACEIAABCAAgYYJpHGQXMi10uHSF6SF\npagtpoOLJK8MdkP0BPsQyCmBN1Qvj4h26zS7fVV3L5TyoFR280dyPRLo9yMxCEAAAhCAAAQg\nkBkBO0HPSv7uyJuSR5QmSFdIr0oOv0DC0hHgQ7HpeLUy9oXK7OJWZphhXv9UWWdkWF7ei/qH\nKvjDvFeS+kEAAhCAAAQKSKBQH4ptpH+WUqJzpKmSHaJQdpC+KM0vYekI4CCl49XK2Ecrs25c\n4MC/w2kSIyZzrob/0a4XrMAgAAEIQAACEMiWQOkdpBC3HaHVpVHSCmEg24YI4CA1hK0libZQ\nLnbyl2hJbtllcpiKmiilnSabXQ2zL2kTFem+XDH7oikRAhCAAAQgUGoChXKQmrm58rLeY6Q7\npOdLfUnQ+G4m8JAq3y912/eQvHrdX6QZEjabwL+18cd/Wc2OKwICEIAABCAAgYYJDGkg5Q5K\ns4e0rlTrqfuvdM7CIJB3AnaO/iXZQfJKaN1gXiBlF8lOEjaHgEeP3Id2kH45J5g9CEAAAhCA\nAAQgkJxAWgfpo8r6UilM5xuSasYqdtWoEJZXAv4eUjetZOcHFHbsbsor0A7Wyw7SLyRPAfYo\nNwYBCEAAAhCAAATaSuAB5T5ZOkoa0daSypU57yB1tr8PVPETO1uFVKVfpth+UIHNS2BJBdkx\n2mbeU4RAAAIQgAAEINAmAoV6BykNowUV2atm/S5NIuImIoCDlAhT2yKtpZw9Grpa20poXcb+\nA/Sm9LHWZVm4nO5Si75buFbRIAhAAAIQgEB+CRTKQUqzSMMU9YlHjx7Lb99QMwg0ROAppXpd\n6oZpdn73yB9EvVbCqhO4TsF+DwmDAAQgAAEIQAACqQmkcZC8WpbfedhLCt9BSl0gCSCQQwIe\nPbpH6oaV7Lwww43SWxJWnYDfQ9pM8reiMAhAAAIQgAAEIJCKwGAO0qLKzXP6Q31L+6tKV0sf\nlDwlKTwX3S6gcAwC3USgGxwk/14/LP25m8B2oK7uS09D9N8oDAIQgAAEIAABCLSUwIPKzU/X\n0+rEltai+JnxDlLn+3hPVeFdKc+jo9upfl6AYGkJq0/A70r+pn4UzkIAAhCAAAQg0CIChXoH\nabCbQU+pG9MAON5TagAaSTpKwKMOHvncSPJ3kfJonl53q/RyHiuXszp5mt3/Sj2SH/BgEIAA\nBCAAAQhAAAJdRIARpHx01lhV43P5qErVWvhhxTFVzxAYJ7CCAuwYbR4/wTEEIAABCEAAAi0n\nUKgRpMHeQapHL3zaHq78tVC9yJyDQBcQyPN7SJuKn9/5u6ILOOahis+rEg9JvIeUh96gDhCA\nAAQgAIEuItCIg7SK2ne59I7kG5DTJdtvpVOkPh9gEOhCAnerzqHDn7fqe3qdP9T8TN4qluP6\neJody33nuIOoGgQgAAEIQKAIBJZXI16RPHXlEWmc5HcibH6y7fD/SsMkLDkBptglZ9XOmNsq\ncy+CsHA7C2kw7/8o3f9rMG1Zk+2ohg9Iw8sKgHZDAAIQgAAEMiJQqCl2aZn9Xgk8cuQbSduf\npNBBml/7HkGyk5Tn9zhUvdwZDlI+umRBVWOatEM+qvNeLdbQnn9XG7wXwk4SAv5j/Za0b5LI\nxIEABCAAAQhAoGEChXKQ0k6x21nYfi7dVgWfn7yfLPn7I1tVOU8QBPJOwMt8e6Qmb9PsfIP/\npPSwhCUn0K+oXomTaXbJmRETAhCAAAQgUHoCaRwkT1NZXHq8DjVPZ/FNnONhEOhGAnlcqMHv\nH/Fx2MauJr+HxEINjbEjFQQgAAEIQKCUBNI4SJNE6EVpyzqk7ER5GtBjdeJwCgJ5JpA3B2k5\nwfKIrKezYukJXKckXlhm/fRJSQEBCEAAAhCAQBkJpHGQzOda6XDpC1L8RfbFFHaRtKh0g4RB\noBsJ2EFaSfKCJHmwvVWJFyTXC0tPwN+OekJiml16dqSAAAQgAAEIQCABATtBz0p+YdzvGnlE\naYLkFexelRx+gZRn8/S/VaV1pBWlPHy/iUUa1BE5MS828rZkxyQPdr0q4ff+sMYJnKmk5ohB\nAAIQgAAEINAeAoVapKERREsp0TnSVMkOUSg7SF+UfIOZN9tUFTpfmiiF9Y1un1b4udLSUicM\nB6kT1GuX+Q+dOrX26czO+IGEFxrYJbMSi1nQ7mrWZMkft8YgAAEIQAACEGg9gdI7SCFSO0Kr\nS6OkFcLAHG5PUJ1CZ8gf2bxDulq6TPKUQX8c1FOYHMffeDpAytpwkLImXr+8H+j03+tHyeTs\np1TKa9LQTEorbiELqmlTpD2K20RaBgEIQAACEOgogVI7SJ7qc7o0pKNdkLzw/RXVjo8doc3q\nJOvRudHSvZLj2+nL0nCQsqQ9eFn7KYqnkPq66KT9UYX7vT6seQLXK4ufNp8NOUAAAhCAAAQg\nUIVAaR2kPsHwuxmPVYGS16CLVTFPn3Pdk5jfT/JqfZ5CmKXhIGVJe/CyVlYUO8rrDR61bTE8\nHcy/t33aVkK5Mv6KmvtEuZpMayEAAQhAAAKZESiUgzRfCmz9iuuv0nu6SqefrCet9saKeKfk\n96WS2OuK9JDkxRuw8hJ4Tk33AiTv7yCCXVW2f5/XdbAORSr6b2rMWtJqRWoUbYEABCAAAQhA\noPUE0jhIfqIePs2+UvsflNaQ/O2juJKO2ChpW+0F5b65NDRhKR5BslPVTaNkCZtGtJQE/G7a\nyJRpWhndvzXf1L/bykxLnNcjarsd391LzICmQwACEIAABCDQBgK3KU8vZGBnqZ5O0vk82IGq\nhOtph67eza5HxLaTfFM8TdpGytKYYpcl7WRlHa9o9yWL2vJYfsfPq0Ie1PKcy53heWq+/xZg\nEIAABCAAAQi0lkChptilXWzBIyuehjaYPT5YhIzOX6JylpFOkfaSJkjjJd98TpI88rWENEJa\nXrJzdJx0u4SVm8A9av5J0jBpipSlba/CfG16tUWsdQQ8Ineh5D/injKMQQACEIAABCAAgdIS\nWF0tv1SygxQf+XpHYU9KXp3PL+d3whhB6gT1+mUuqtMzpK3rR2vL2bOU6w1tybncmbpPB6Qd\ny42B1kMAAhCAAARaTqBQI0jN0BmqxH5fZyfJozDdYn4yb0doLck3THkwHKQ89MLcddhXh16U\n5GXpIclOix3tdpune/pdmaPaXVBJ879F7T6tpG2n2RCAAAQgAIF2ESiUgzRfA5Q8Fe06yUsQ\n/1v6u+Qpa2OlI6W82/yqoOW2LywtJGEQCAn42vBoo6dnPi89JV0gbSr9R/qw1E7bUpmvKF3R\nzkJKnLen2e1W4vbTdAhAAAIQgAAEWkxgM+XnleE89chO0o+l70q+gXxO8vS1n0h+Cp4n883t\n+dJEyXWM62mFnSstLXXCGEHqBPXqZZ6sYI8abSR5FMcOUmgnaseryq0ZBrRh+33leVcb8iXL\n2QT8N8y//xUAAgEIQAACEIBAywgUagQpLZWLleB1yUtnx81gPA3JNx/bxE928PiESp1cr2ek\nO6SrpcukayWvXGenz+e9Qt8BUtaGg5Q18erlLahgv5N2YOX0Ftr6uliycuyNp2jZmW6XeSGU\nb7Qrc/Kd9fDmJXH4NCwgAAEIQAACEGgZgdI6SJ565Kl0X62D0nGel06tEyfLU/urMN/g2hHy\nk+Na5hGv0dK9kuOPkrI0HKQsadcua3ud8kqGwypR/GP3CnYeSbLzZDtashPTDltPmfr6W6sd\nmZPnewQu0t7v3jtiBwIQgAAEIACBZgkUykFK8w7SEJHzOzsT6hCcrnPjpNXqxMny1N4qbIzk\n7QN1CvZNqUcGdpX8Yv7BElY+An4fbapkp8jmpaA90vhT6Q3pHulD0lJSq6do2UnfV3pYelLC\n2kfgb8r6A5If6GAQgAAEIAABCECgKQK3KrXfParlWI3QOb+j8XkpD+aX6n+bsiK3Kf5VKdM0\nG50RpGYJtib9GsrGzrJHcqLmBwM7S56uOU4akBzPzrevL1/vXtGx1u9Cp6qay7tQmij54YId\nszukJSSsfQT8ruEMaev2FZE65/lTpyABBCAAAQhAID8ECjWClBbr2krwknSNtKVkGDZPP/Lq\nXo9L90nLSX5vI9QC2u+EXa9CH5WGJix8ccWbJP0wYfxWRcNBahXJ5vOxg3yF5BGduK2pgLck\njzDaIbJj9BvJjpIdpjclP0A4QdpFWkSqZTvohK+1myW/8/QxKXS6xmp/hIS1j4BHA09uX/aJ\ncvbfUzvYr0nu++ekMyT/3cQgAAEIQAAC3USg1A7S/eopjxD5P3PLT719Uxge19p+U3E6Yb7x\ndJ2ulEbWqYBvhreT7pb8Dso2UpaGg5Ql7fplra/Tvqb/JK1ViTpEW0/TnCBdJVUbKVpe4R+V\nfIPr68jT83wtPSCdJX1SWkWyLSa9LJ0phY7Yl7Q/TvLDhBulOyWsfQS+q6zdT52ynVSwnW33\n9Sck//3x3wFPsXxGWk3CIAABCEAAAt1CoFAOUnhzlhT+LxRx2aSRI/H8lNQ3nFmb2/dl6RTJ\no1y+wR0vebEJP70fLi0hjZB8g+sbWi9C4RvXLM03RudJnsr1TpYFU1ZVAhso9HxpK8mrNtpp\nsVNkR8fOvp2fwcxpPMpqZ9vaWvK15mvQzpGdpT0kP3TwdXez9G/J1+vK0ljJN9G3SFjrCbhP\nzHYZyX8PsrTFVdiT0kXSV2IFe4GQKyV/xNrXnx/wYBCAAAQgAIG8E7CDNFUaJfGQN++9Vanf\n6tpeKvnm1DccUdkh8c3K6ZJvTDthdpBcp4U6UThl1iSwns7sI31Q8qhPM2Zn3fkdLnlKnh0v\n9/nb0k2SnaTtpdA8VfXr4QHblhPwOz/ug0+2POfBM7RTNFYaUiPqSgofkKLXQ42oBEMAAhCA\nAARyQaBQI0i1/oNOQnqoIvmGbynpQek1Ka/mG9LwRsijRn466ye1E6U3JQwC1Qj4/TWrFWZn\nKMzvQ9p/VvI0Lz9p8WjGOOk2KbQp2vFvDGsPgenK9kZpN8kPT7I0jwxdJ9kptnlE6SDppz6Q\njZf8N9Xx/ilhEIAABCAAAQhkSGC+BspaXmn8n7uffP9b+rvkKSp+InqklHfzk2PLbfeUNkZt\nBAHLlMBDKm209Irk6VTfkD4j+abdtoi0qfQfH2BtI/A35byrlHaqcbMV8oOpqZVMvP8H6UzJ\ndQnN0zh9DoMABCAAAQhAIOcENlP9XpBmSHaSfiz5KfgF0nOSn5L/RMr6hkNF1jXfbJ4vecTI\ndYzraYWdKy0tdcKYYtcJ6p0rczUV7Rvkw2tU4RcKHyd5uBprHwFPZfPfAv99yNJOUmEeIbKd\nLb0kXS/ZYbN5lNuL4ezlAwwCEIBANxB4Xu96DwS9f5kSBGt2Q32pY8sJ+J7F/6du3fKcuyDD\ni1VHz9vfvEpdDcYvsRuOpwzlxU5QRUKH6Bnt3yFdLV0mXSvdLdnpcxw/0T9AytpwkLIm3vny\nPqsqeIrV6dI60sLSFpJHE3xzvK2EtZ+AR+n+p/3FzFXCCB3pHmLW1D47yv576b73g6cNJD+s\nGSP5byoGAQhAoCsITA16vzMQ9M2Uk3RNV1SYSraagP/P8r106RwkT0vzVLqvSrXMcZ6XTq0V\nIePw/VWeO8uOkEe/aplHvEZL90qO7/dCsjQcpCxp56esPVWVhyVfc5ZvkG+WNpGwbAj8UMX8\nI5ui5irlRzpyf18nrS/5vcj7pXHS21LWf4NUJAYBCECgMQKTtRqwHKPJcpJO1XbalKBv98Z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pCCCQTGBLzT5b2THZy5gbAQQCENhXfeDrVQIYiIp3oVR7kHzcaqdtrmb0+UYXdPoC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\nJvB/Ajd2VYRVLFgAAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Five Year Apprehended Forecast”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the data and prediction\n",
    "par(mfrow=c(1,1))\n",
    "plot(year.num[tt], xxx, pch=1, xlim=c(year.num[nn-nb], year.num[nn+nt]), ylim=rr,\n",
    "     main='Five Year Apprehended Forecast',\n",
    "     ylab='Number Apprehended', xlab='Year')\n",
    "lines(year.num[tt], xxx)\t# Observed values\n",
    "points(year.num[nn+1:nt], pp$pred, pch=2, col='red', type='o')\t# Predicted values\n",
    "lines(year.num[nn+1:nt], pp$pred+2*pp$se, lty=2, col='red')\t# Upper bound of predicted interval\n",
    "lines(year.num[nn+1:nt], pp$pred-2*pp$se, lty=2, col='red')\t# Lower bound of predicted interval"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a59418a",
   "metadata": {},
   "source": [
    "### Deported Immigrants (Removed & Returned)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "addff655",
   "metadata": {},
   "source": [
    "#### Add Back the Differenced Order"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "c887e05b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "    Estimate Std. Error z value Pr(>|z|)   \n",
       "ma1 0.237412   0.074489  3.1872 0.001436 **\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "z test of coefficients:\n",
       "\n",
       "    Estimate Std. Error z value  Pr(>|z|)    \n",
       "ar1  0.46159    0.09304  4.9612 7.006e-07 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Add back the difference order\n",
    "ma2 <- arima(rem, order=c(0, 1, 1))\n",
    "coeftest(ma2)\n",
    "\n",
    "ar2 <- arima(logret, order = c(1, 1, 0))\n",
    "coeftest(ar2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3050838",
   "metadata": {},
   "source": [
    "#### Set Up Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "7b130bc2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Removed immigrants\n",
    "pp <- predict(ma2, 5) # Predict the next quarters in 2009\n",
    "nn <- length(rem)\t# Length of your data\n",
    "nt <- 5\t# Forecast horizon\n",
    "nb <- 20 # Number of data points you want to plot\n",
    "tt <- (nn-nb):nn # Indexes of data points you want to plot\n",
    "xxx <- rem[tt]\t# Data you want to plot\n",
    "rr <- range(c(xxx, pp$pred, pp$pred+2*pp$se,\n",
    "              pp$pred-2*pp$se)) # Find the minimum and maximum y values in your plot\n",
    "year.dep <- seq(1892, 2024)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "7f74191e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Returned immigrants\n",
    "pp1 <- predict(ar2, 5) # Predict the next quarters in 2009\n",
    "nn1 <- length(logret)\t# Length of your data\n",
    "nt1 <- 5\t# Forecast horizon\n",
    "nb1 <- 20 # Number of data points you want to plot\n",
    "tt1 <- (nn1-nb1):nn1 # Indexes of data points you want to plot\n",
    "xxx1 <- ret[tt1]\t# Data you want to plot\n",
    "pred <- exp(pp1$pred) # Prediction\n",
    "pred.upp <- exp(pp1$pred+2*pp1$se)  # Upper bound for prediction\n",
    "pred.low <- exp(pp1$pred-2*pp1$se)  # Lower bound for prediction\n",
    "rr1 <- range(c(xxx1, pred, pred.upp, pred.low)) # Find the minimum and maximum y values in your plot"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "813de498",
   "metadata": {},
   "source": [
    "#### Plot the Data and Prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "e7f09c1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iEFP7y0j6OlYK22Nxz3ISV8UR3K9gXzjyQHN64jbG/kv3a/yf6qLeGYMXV76z+3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",
      "text/plain": [
       "Plot with title “Five Year Deported (Removed) Forecast”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Removed immigrants\n",
    "plot(year.dep[tt], xxx, pch=1, xlim=c(year.dep[nn-nb], year.dep[nn+nt]),\n",
    "     ylim=rr, main='Five Year Deported (Removed) Forecast',\n",
    "     ylab='Number Removed', xlab='Year')\n",
    "lines(year.dep[tt], xxx)\t# Observed values\n",
    "points(year.dep[nn+1:nt], pp$pred, pch=2, col='red', type='o')\t# Predicted values\n",
    "lines(year.dep[nn+1:nt], pp$pred+2*pp$se, lty=2, col='red')\t# Upper bound of predicted interval\n",
    "lines(year.dep[nn+1:nt], pp$pred-2*pp$se, lty=2, col='red')\t# Lower bound of predicted interval"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "45b8f833",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vpvJ70qBCTcrql4dtqbva5R8uZvB22a5B7NepakvtXX+pkwn5E+nz1K4z7JDTU7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\nIAABCEAAAhCAAAQKRuD/A7X7xOiQ9cOpAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Five Year Deported (Returned) Forecast”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Returned immigrants\n",
    "plot(year.dep[tt1], xxx1, pch=1, xlim=c(year.dep[nn1-nb1], year.dep[nn1+nt1]),\n",
    "     ylim=rr1, main='Five Year Deported (Returned) Forecast',\n",
    "     ylab='Number Returned', xlab='Year')\n",
    "lines(year.dep[tt1], xxx1)\t# Observed values\n",
    "points(year.dep[nn1+1:nt1], pred, pch=2, col='red', type='o')\t# Predicted values\n",
    "lines(year.dep[nn1+1:nt1], pred.upp, lty=2, col='red')\t# Upper bound of predicted interval\n",
    "lines(year.dep[nn1+1:nt1], pred.low, lty=2, col='red')\t# Lower bound of predicted interval"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1f77dc4a",
   "metadata": {},
   "source": [
    "## Multivariate Time Series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "e73103af",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: MASS\n",
      "\n",
      "Loading required package: strucchange\n",
      "\n",
      "Loading required package: sandwich\n",
      "\n",
      "Loading required package: urca\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Load the vars library\n",
    "library(vars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "99056051",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Adjust variables and remove NA rows\n",
    "# This data subset should have a value for each of the variable at a year\n",
    "app <- app[1:93,]\n",
    "num <- rev(app[,2])\n",
    "dep <- dep[1:93,]\n",
    "rem <- rev(dep[,2])\n",
    "ret <- rev(dep[,3])\n",
    "x <- cbind(num, rem, ret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "c45b0ac6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "VAR Estimation Results:\n",
       "========================= \n",
       "Endogenous variables: num, rem, ret \n",
       "Deterministic variables: const \n",
       "Sample size: 92 \n",
       "Log Likelihood: -3387.267 \n",
       "Roots of the characteristic polynomial:\n",
       "0.9895 0.9672 0.9672\n",
       "Call:\n",
       "VAR(y = x, p = 1)\n",
       "\n",
       "\n",
       "Estimation results for equation num: \n",
       "==================================== \n",
       "num = num.l1 + rem.l1 + ret.l1 + const \n",
       "\n",
       "         Estimate Std. Error t value Pr(>|t|)    \n",
       "num.l1     1.2524     0.2021   6.198  1.8e-08 ***\n",
       "rem.l1    -0.3253     0.2213  -1.470   0.1452    \n",
       "ret.l1    -0.3183     0.2093  -1.521   0.1318    \n",
       "const  48449.0075 28250.4532   1.715   0.0899 .  \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "\n",
       "Residual standard error: 173400 on 88 degrees of freedom\n",
       "Multiple R-Squared: 0.901,\tAdjusted R-squared: 0.8976 \n",
       "F-statistic: 266.8 on 3 and 88 DF,  p-value: < 2.2e-16 \n",
       "\n",
       "\n",
       "Estimation results for equation rem: \n",
       "==================================== \n",
       "rem = num.l1 + rem.l1 + ret.l1 + const \n",
       "\n",
       "         Estimate Std. Error t value Pr(>|t|)    \n",
       "num.l1 -5.107e-02  1.893e-02  -2.697  0.00839 ** \n",
       "rem.l1  1.052e+00  2.074e-02  50.697  < 2e-16 ***\n",
       "ret.l1  6.216e-02  1.961e-02   3.170  0.00210 ** \n",
       "const  -1.640e+03  2.647e+03  -0.619  0.53724    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "\n",
       "Residual standard error: 16240 on 88 degrees of freedom\n",
       "Multiple R-Squared: 0.9843,\tAdjusted R-squared: 0.9837 \n",
       "F-statistic:  1836 on 3 and 88 DF,  p-value: < 2.2e-16 \n",
       "\n",
       "\n",
       "Estimation results for equation ret: \n",
       "==================================== \n",
       "ret = num.l1 + rem.l1 + ret.l1 + const \n",
       "\n",
       "         Estimate Std. Error t value Pr(>|t|)   \n",
       "num.l1     0.3402     0.1861   1.828  0.07087 . \n",
       "rem.l1    -0.5258     0.2038  -2.580  0.01154 * \n",
       "ret.l1     0.6047     0.1927   3.138  0.00231 **\n",
       "const  42057.5345 26011.1872   1.617  0.10948   \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "\n",
       "Residual standard error: 159600 on 88 degrees of freedom\n",
       "Multiple R-Squared: 0.902,\tAdjusted R-squared: 0.8986 \n",
       "F-statistic: 269.9 on 3 and 88 DF,  p-value: < 2.2e-16 \n",
       "\n",
       "\n",
       "\n",
       "Covariance matrix of residuals:\n",
       "          num       rem       ret\n",
       "num 3.005e+10 1.018e+09 2.569e+10\n",
       "rem 1.018e+09 2.639e+08 5.937e+08\n",
       "ret 2.569e+10 5.937e+08 2.548e+10\n",
       "\n",
       "Correlation matrix of residuals:\n",
       "       num    rem    ret\n",
       "num 1.0000 0.3616 0.9286\n",
       "rem 0.3616 1.0000 0.2290\n",
       "ret 0.9286 0.2290 1.0000\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Vector Autoregressive Model - VAR\n",
    "var <- VAR(x, p=1)\n",
    "summary(var)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "3c0ddb15",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl>\n",
       "\t<dt>$selection</dt>\n",
       "\t\t<dd><style>\n",
       ".dl-inline {width: auto; margin:0; padding: 0}\n",
       ".dl-inline>dt, .dl-inline>dd {float: none; width: auto; display: inline-block}\n",
       ".dl-inline>dt::after {content: \":\\0020\"; padding-right: .5ex}\n",
       ".dl-inline>dt:not(:first-of-type) {padding-left: .5ex}\n",
       "</style><dl class=dl-inline><dt>AIC(n)</dt><dd>1</dd><dt>HQ(n)</dt><dd>1</dd><dt>SC(n)</dt><dd>1</dd><dt>FPE(n)</dt><dd>1</dd></dl>\n",
       "</dd>\n",
       "\t<dt>$criteria</dt>\n",
       "\t\t<dd><table class=\"dataframe\">\n",
       "<caption>A matrix: 4 × 6 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>1</th><th scope=col>2</th><th scope=col>3</th><th scope=col>4</th><th scope=col>5</th><th scope=col>6</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AIC(n)</th><td>6.555966e+01</td><td>6.568110e+01</td><td>6.576190e+01</td><td>6.583468e+01</td><td>6.557383e+01</td><td>6.570727e+01</td></tr>\n",
       "\t<tr><th scope=row>HQ(n)</th><td>6.569662e+01</td><td>6.592078e+01</td><td>6.610429e+01</td><td>6.627979e+01</td><td>6.612166e+01</td><td>6.635782e+01</td></tr>\n",
       "\t<tr><th scope=row>SC(n)</th><td>6.589979e+01</td><td>6.627632e+01</td><td>6.661221e+01</td><td>6.694008e+01</td><td>6.693433e+01</td><td>6.732287e+01</td></tr>\n",
       "\t<tr><th scope=row>FPE(n)</th><td>2.966775e+28</td><td>3.352686e+28</td><td>3.642157e+28</td><td>3.931646e+28</td><td>3.046958e+28</td><td>3.512534e+28</td></tr>\n",
       "</tbody>\n",
       "</table>\n",
       "</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description}\n",
       "\\item[\\$selection] \\begin{description*}\n",
       "\\item[AIC(n)] 1\n",
       "\\item[HQ(n)] 1\n",
       "\\item[SC(n)] 1\n",
       "\\item[FPE(n)] 1\n",
       "\\end{description*}\n",
       "\n",
       "\\item[\\$criteria] A matrix: 4 × 6 of type dbl\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & 1 & 2 & 3 & 4 & 5 & 6\\\\\n",
       "\\hline\n",
       "\tAIC(n) & 6.555966e+01 & 6.568110e+01 & 6.576190e+01 & 6.583468e+01 & 6.557383e+01 & 6.570727e+01\\\\\n",
       "\tHQ(n) & 6.569662e+01 & 6.592078e+01 & 6.610429e+01 & 6.627979e+01 & 6.612166e+01 & 6.635782e+01\\\\\n",
       "\tSC(n) & 6.589979e+01 & 6.627632e+01 & 6.661221e+01 & 6.694008e+01 & 6.693433e+01 & 6.732287e+01\\\\\n",
       "\tFPE(n) & 2.966775e+28 & 3.352686e+28 & 3.642157e+28 & 3.931646e+28 & 3.046958e+28 & 3.512534e+28\\\\\n",
       "\\end{tabular}\n",
       "\n",
       "\\end{description}\n"
      ],
      "text/markdown": [
       "$selection\n",
       ":   AIC(n)\n",
       ":   1HQ(n)\n",
       ":   1SC(n)\n",
       ":   1FPE(n)\n",
       ":   1\n",
       "\n",
       "\n",
       "$criteria\n",
       ":   \n",
       "A matrix: 4 × 6 of type dbl\n",
       "\n",
       "| <!--/--> | 1 | 2 | 3 | 4 | 5 | 6 |\n",
       "|---|---|---|---|---|---|---|\n",
       "| AIC(n) | 6.555966e+01 | 6.568110e+01 | 6.576190e+01 | 6.583468e+01 | 6.557383e+01 | 6.570727e+01 |\n",
       "| HQ(n) | 6.569662e+01 | 6.592078e+01 | 6.610429e+01 | 6.627979e+01 | 6.612166e+01 | 6.635782e+01 |\n",
       "| SC(n) | 6.589979e+01 | 6.627632e+01 | 6.661221e+01 | 6.694008e+01 | 6.693433e+01 | 6.732287e+01 |\n",
       "| FPE(n) | 2.966775e+28 | 3.352686e+28 | 3.642157e+28 | 3.931646e+28 | 3.046958e+28 | 3.512534e+28 |\n",
       "\n",
       "\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "$selection\n",
       "AIC(n)  HQ(n)  SC(n) FPE(n) \n",
       "     1      1      1      1 \n",
       "\n",
       "$criteria\n",
       "                  1            2            3            4            5\n",
       "AIC(n) 6.555966e+01 6.568110e+01 6.576190e+01 6.583468e+01 6.557383e+01\n",
       "HQ(n)  6.569662e+01 6.592078e+01 6.610429e+01 6.627979e+01 6.612166e+01\n",
       "SC(n)  6.589979e+01 6.627632e+01 6.661221e+01 6.694008e+01 6.693433e+01\n",
       "FPE(n) 2.966775e+28 3.352686e+28 3.642157e+28 3.931646e+28 3.046958e+28\n",
       "                  6\n",
       "AIC(n) 6.570727e+01\n",
       "HQ(n)  6.635782e+01\n",
       "SC(n)  6.732287e+01\n",
       "FPE(n) 3.512534e+28\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Determine p\n",
    "VARselect(x, lag.max=6) # p = 1 selected"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "66ef55c5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tPortmanteau Test (asymptotic)\n",
       "\n",
       "data:  Residuals of VAR object var\n",
       "Chi-squared = 138.51, df = 135, p-value = 0.4004\n",
       "\n",
       "$serial\n",
       "\n",
       "\tPortmanteau Test (asymptotic)\n",
       "\n",
       "data:  Residuals of VAR object var\n",
       "Chi-squared = 138.51, df = 135, p-value = 0.4004\n",
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Portmanteau test\n",
    "serial.test(var) # Residuals are white noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "691bc30b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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