Multiple regression II.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 多元线性回归 II\n",
    "\n",
    "黄荣贵（复旦大学社会学系）\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: carData\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "   education          income          women           prestige    \n",
       " Min.   : 6.380   Min.   :  611   Min.   : 0.000   Min.   :14.80  \n",
       " 1st Qu.: 8.445   1st Qu.: 4106   1st Qu.: 3.592   1st Qu.:35.23  \n",
       " Median :10.540   Median : 5930   Median :13.600   Median :43.60  \n",
       " Mean   :10.738   Mean   : 6798   Mean   :28.979   Mean   :46.83  \n",
       " 3rd Qu.:12.648   3rd Qu.: 8187   3rd Qu.:52.203   3rd Qu.:59.27  \n",
       " Max.   :15.970   Max.   :25879   Max.   :97.510   Max.   :87.20  \n",
       "     census       type   \n",
       " Min.   :1113   bc  :44  \n",
       " 1st Qu.:3120   prof:31  \n",
       " Median :5135   wc  :23  \n",
       " Mean   :5402   NA's: 4  \n",
       " 3rd Qu.:8312            \n",
       " Max.   :9517            "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(car)\n",
    "\n",
    "summary(Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'bc'</li>\n",
       "\t<li>'prof'</li>\n",
       "\t<li>'wc'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'bc'\n",
       "\\item 'prof'\n",
       "\\item 'wc'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'bc'\n",
       "2. 'prof'\n",
       "3. 'wc'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"bc\"   \"prof\" \"wc\"  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "levels(Prestige$type)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 虚拟变量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = prestige ~ income + education + type, data = Prestige)\n",
       "\n",
       "Residuals:\n",
       "     Min       1Q   Median       3Q      Max \n",
       "-14.9529  -4.4486   0.1678   5.0566  18.6320 \n",
       "\n",
       "Coefficients:\n",
       "              Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) -0.6229292  5.2275255  -0.119    0.905    \n",
       "income       0.0010132  0.0002209   4.586 1.40e-05 ***\n",
       "education    3.6731661  0.6405016   5.735 1.21e-07 ***\n",
       "typeprof     6.0389707  3.8668551   1.562    0.122    \n",
       "typewc      -2.7372307  2.5139324  -1.089    0.279    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 7.095 on 93 degrees of freedom\n",
       "  (4 observations deleted due to missingness)\n",
       "Multiple R-squared:  0.8349,\tAdjusted R-squared:  0.8278 \n",
       "F-statistic: 117.5 on 4 and 93 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod <- lm(prestige ~ income + education + type, data=Prestige)\n",
    "\n",
    "summary(mod)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "统计检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A anova: 4 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Sum Sq</th><th scope=col>Df</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>income</th><td>1058.7703</td><td> 1</td><td>21.033931</td><td>1.404920e-05</td></tr>\n",
       "\t<tr><th scope=row>education</th><td>1655.4725</td><td> 1</td><td>32.888242</td><td>1.205177e-07</td></tr>\n",
       "\t<tr><th scope=row>type</th><td> 591.1628</td><td> 2</td><td> 5.872131</td><td>3.966438e-03</td></tr>\n",
       "\t<tr><th scope=row>Residuals</th><td>4681.2762</td><td>93</td><td>       NA</td><td>          NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A anova: 4 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       "  & Sum Sq & Df & F value & Pr(>F)\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tincome & 1058.7703 &  1 & 21.033931 & 1.404920e-05\\\\\n",
       "\teducation & 1655.4725 &  1 & 32.888242 & 1.205177e-07\\\\\n",
       "\ttype &  591.1628 &  2 &  5.872131 & 3.966438e-03\\\\\n",
       "\tResiduals & 4681.2762 & 93 &        NA &           NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A anova: 4 × 4\n",
       "\n",
       "| <!--/--> | Sum Sq &lt;dbl&gt; | Df &lt;dbl&gt; | F value &lt;dbl&gt; | Pr(&gt;F) &lt;dbl&gt; |\n",
       "|---|---|---|---|---|\n",
       "| income | 1058.7703 |  1 | 21.033931 | 1.404920e-05 |\n",
       "| education | 1655.4725 |  1 | 32.888242 | 1.205177e-07 |\n",
       "| type |  591.1628 |  2 |  5.872131 | 3.966438e-03 |\n",
       "| Residuals | 4681.2762 | 93 |        NA |           NA |\n",
       "\n"
      ],
      "text/plain": [
       "          Sum Sq    Df F value   Pr(>F)      \n",
       "income    1058.7703  1 21.033931 1.404920e-05\n",
       "education 1655.4725  1 32.888242 1.205177e-07\n",
       "type       591.1628  2  5.872131 3.966438e-03\n",
       "Residuals 4681.2762 93        NA           NA"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Anova(mod)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "调整虚拟变量的参照组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'prof'</li>\n",
       "\t<li>'bc'</li>\n",
       "\t<li>'wc'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'prof'\n",
       "\\item 'bc'\n",
       "\\item 'wc'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'prof'\n",
       "2. 'bc'\n",
       "3. 'wc'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"prof\" \"bc\"   \"wc\"  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Prestige$type2 = relevel(Prestige$type, \"prof\")\n",
    "\n",
    "levels(Prestige$type2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = prestige ~ income + education + type2, data = Prestige)\n",
       "\n",
       "Residuals:\n",
       "     Min       1Q   Median       3Q      Max \n",
       "-14.9529  -4.4486   0.1678   5.0566  18.6320 \n",
       "\n",
       "Coefficients:\n",
       "              Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)  5.4160415  8.6921560   0.623  0.53475    \n",
       "income       0.0010132  0.0002209   4.586 1.40e-05 ***\n",
       "education    3.6731661  0.6405016   5.735 1.21e-07 ***\n",
       "type2bc     -6.0389707  3.8668551  -1.562  0.12175    \n",
       "type2wc     -8.7762014  2.7709706  -3.167  0.00208 ** \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 7.095 on 93 degrees of freedom\n",
       "  (4 observations deleted due to missingness)\n",
       "Multiple R-squared:  0.8349,\tAdjusted R-squared:  0.8278 \n",
       "F-statistic: 117.5 on 4 and 93 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod2 <- lm(prestige ~ income + education + type2, data=Prestige)\n",
    "\n",
    "summary(mod2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "统计检验结果不变"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A anova: 4 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Sum Sq</th><th scope=col>Df</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>income</th><td>1058.7703</td><td> 1</td><td>21.033931</td><td>1.404920e-05</td></tr>\n",
       "\t<tr><th scope=row>education</th><td>1655.4725</td><td> 1</td><td>32.888242</td><td>1.205177e-07</td></tr>\n",
       "\t<tr><th scope=row>type2</th><td> 591.1628</td><td> 2</td><td> 5.872131</td><td>3.966438e-03</td></tr>\n",
       "\t<tr><th scope=row>Residuals</th><td>4681.2762</td><td>93</td><td>       NA</td><td>          NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A anova: 4 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       "  & Sum Sq & Df & F value & Pr(>F)\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tincome & 1058.7703 &  1 & 21.033931 & 1.404920e-05\\\\\n",
       "\teducation & 1655.4725 &  1 & 32.888242 & 1.205177e-07\\\\\n",
       "\ttype2 &  591.1628 &  2 &  5.872131 & 3.966438e-03\\\\\n",
       "\tResiduals & 4681.2762 & 93 &        NA &           NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A anova: 4 × 4\n",
       "\n",
       "| <!--/--> | Sum Sq &lt;dbl&gt; | Df &lt;dbl&gt; | F value &lt;dbl&gt; | Pr(&gt;F) &lt;dbl&gt; |\n",
       "|---|---|---|---|---|\n",
       "| income | 1058.7703 |  1 | 21.033931 | 1.404920e-05 |\n",
       "| education | 1655.4725 |  1 | 32.888242 | 1.205177e-07 |\n",
       "| type2 |  591.1628 |  2 |  5.872131 | 3.966438e-03 |\n",
       "| Residuals | 4681.2762 | 93 |        NA |           NA |\n",
       "\n"
      ],
      "text/plain": [
       "          Sum Sq    Df F value   Pr(>F)      \n",
       "income    1058.7703  1 21.033931 1.404920e-05\n",
       "education 1655.4725  1 32.888242 1.205177e-07\n",
       "type2      591.1628  2  5.872131 3.966438e-03\n",
       "Residuals 4681.2762 93        NA           NA"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Anova(mod2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 交互项"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vFJEe68Ydttt03aRRwEIAABCEAAAhCA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9nk7vmdWaCIiACIiACIhAthKQg5Str4z6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\nneQAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatterplot(prestige ~ income | type, data=Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = prestige ~ education + income * type, data = Prestige)\n",
       "\n",
       "Residuals:\n",
       "     Min       1Q   Median       3Q      Max \n",
       "-12.8720  -4.8321   0.8534   4.1425  19.6710 \n",
       "\n",
       "Coefficients:\n",
       "                  Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)     -6.7272633  4.9515480  -1.359   0.1776    \n",
       "education        3.0396961  0.6003699   5.063 2.14e-06 ***\n",
       "income           0.0031344  0.0005215   6.010 3.79e-08 ***\n",
       "typeprof        25.1723873  5.4669586   4.604 1.34e-05 ***\n",
       "typewc           7.1375093  5.2898177   1.349   0.1806    \n",
       "income:typeprof -0.0025102  0.0005530  -4.539 1.72e-05 ***\n",
       "income:typewc   -0.0014856  0.0008720  -1.704   0.0919 .  \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 6.455 on 91 degrees of freedom\n",
       "  (4 observations deleted due to missingness)\n",
       "Multiple R-squared:  0.8663,\tAdjusted R-squared:  0.8574 \n",
       "F-statistic: 98.23 on 6 and 91 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod3 <- lm(prestige ~ education + income*type, data=Prestige)\n",
    "\n",
    "summary(mod3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Type-II检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A anova: 5 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Sum Sq</th><th scope=col>Df</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>education</th><td>1067.9831</td><td> 1</td><td>25.634360</td><td>2.141642e-06</td></tr>\n",
       "\t<tr><th scope=row>income</th><td>1058.7703</td><td> 1</td><td>25.413230</td><td>2.342033e-06</td></tr>\n",
       "\t<tr><th scope=row>type</th><td> 591.1628</td><td> 2</td><td> 7.094719</td><td>1.369781e-03</td></tr>\n",
       "\t<tr><th scope=row>income:type</th><td> 890.0186</td><td> 2</td><td>10.681376</td><td>6.808721e-05</td></tr>\n",
       "\t<tr><th scope=row>Residuals</th><td>3791.2575</td><td>91</td><td>       NA</td><td>          NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A anova: 5 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       "  & Sum Sq & Df & F value & Pr(>F)\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\teducation & 1067.9831 &  1 & 25.634360 & 2.141642e-06\\\\\n",
       "\tincome & 1058.7703 &  1 & 25.413230 & 2.342033e-06\\\\\n",
       "\ttype &  591.1628 &  2 &  7.094719 & 1.369781e-03\\\\\n",
       "\tincome:type &  890.0186 &  2 & 10.681376 & 6.808721e-05\\\\\n",
       "\tResiduals & 3791.2575 & 91 &        NA &           NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A anova: 5 × 4\n",
       "\n",
       "| <!--/--> | Sum Sq &lt;dbl&gt; | Df &lt;dbl&gt; | F value &lt;dbl&gt; | Pr(&gt;F) &lt;dbl&gt; |\n",
       "|---|---|---|---|---|\n",
       "| education | 1067.9831 |  1 | 25.634360 | 2.141642e-06 |\n",
       "| income | 1058.7703 |  1 | 25.413230 | 2.342033e-06 |\n",
       "| type |  591.1628 |  2 |  7.094719 | 1.369781e-03 |\n",
       "| income:type |  890.0186 |  2 | 10.681376 | 6.808721e-05 |\n",
       "| Residuals | 3791.2575 | 91 |        NA |           NA |\n",
       "\n"
      ],
      "text/plain": [
       "            Sum Sq    Df F value   Pr(>F)      \n",
       "education   1067.9831  1 25.634360 2.141642e-06\n",
       "income      1058.7703  1 25.413230 2.342033e-06\n",
       "type         591.1628  2  7.094719 1.369781e-03\n",
       "income:type  890.0186  2 10.681376 6.808721e-05\n",
       "Residuals   3791.2575 91        NA           NA"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Anova(mod3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于不同类型方差分析，详见：\n",
    "\n",
    "[Anova – Type I/II/III SS explained](https://mcfromnz.wordpress.com/2011/03/02/anova-type-iiiiii-ss-explained/)\n",
    "\n",
    "[Anova – Type I/II/III SS explained](http://md.psych.bio.uni-goettingen.de/mv/unit/lm_cat/lm_cat_unbal_ss_explained.html#type-ii-and-iii-ss-using-the-car-package)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "例析：检验income:type交互项"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A anova: 2 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Res.Df</th><th scope=col>RSS</th><th scope=col>Df</th><th scope=col>Sum of Sq</th><th scope=col>F</th><th scope=col>Pr(&gt;F)</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>93</td><td>4681.276</td><td>NA</td><td>      NA</td><td>      NA</td><td>          NA</td></tr>\n",
       "\t<tr><td>91</td><td>3791.258</td><td> 2</td><td>890.0186</td><td>10.68138</td><td>6.808721e-05</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A anova: 2 × 6\n",
       "\\begin{tabular}{r|llllll}\n",
       " Res.Df & RSS & Df & Sum of Sq & F & Pr(>F)\\\\\n",
       " <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 93 & 4681.276 & NA &       NA &       NA &           NA\\\\\n",
       "\t 91 & 3791.258 &  2 & 890.0186 & 10.68138 & 6.808721e-05\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A anova: 2 × 6\n",
       "\n",
       "| Res.Df &lt;dbl&gt; | RSS &lt;dbl&gt; | Df &lt;dbl&gt; | Sum of Sq &lt;dbl&gt; | F &lt;dbl&gt; | Pr(&gt;F) &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|\n",
       "| 93 | 4681.276 | NA |       NA |       NA |           NA |\n",
       "| 91 | 3791.258 |  2 | 890.0186 | 10.68138 | 6.808721e-05 |\n",
       "\n"
      ],
      "text/plain": [
       "  Res.Df RSS      Df Sum of Sq F        Pr(>F)      \n",
       "1 93     4681.276 NA       NA        NA           NA\n",
       "2 91     3791.258  2 890.0186  10.68138 6.808721e-05"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lht(mod3, rbind(c(0, 0, 0, 0, 0, 1, 0),\n",
    "                c(0, 0, 0, 0, 0, 0, 1))\n",
    "   )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "例析：Type II 检验type项\n",
    "\n",
    "* 计算Sum of Sq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in anova.lmlist(object, ...): models were not all fitted to the same size of dataset\n",
     "output_type": "error",
     "traceback": [
      "Error in anova.lmlist(object, ...): models were not all fitted to the same size of dataset\nTraceback:\n",
      "1. anova(mod5, mod4)",
      "2. anova.lm(mod5, mod4)",
      "3. anova.lmlist(object, ...)",
      "4. stop(\"models were not all fitted to the same size of dataset\")"
     ]
    }
   ],
   "source": [
    "mod4 <- lm(prestige ~ education + income + type, data=Prestige)\n",
    "\n",
    "mod5 <- lm(prestige ~ education + income, data=Prestige)\n",
    "\n",
    "anova(mod5, mod4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "Prestige = na.exclude(Prestige)\n",
    "\n",
    "mod4 <- lm(prestige ~ education + income + type, data=Prestige)\n",
    "mod5 <- lm(prestige ~ education + income, data=Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A anova: 2 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Res.Df</th><th scope=col>RSS</th><th scope=col>Df</th><th scope=col>Sum of Sq</th><th scope=col>F</th><th scope=col>Pr(&gt;F)</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>95</td><td>5272.439</td><td>NA</td><td>      NA</td><td>      NA</td><td>         NA</td></tr>\n",
       "\t<tr><td>93</td><td>4681.276</td><td> 2</td><td>591.1628</td><td>5.872131</td><td>0.003966438</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A anova: 2 × 6\n",
       "\\begin{tabular}{r|llllll}\n",
       " Res.Df & RSS & Df & Sum of Sq & F & Pr(>F)\\\\\n",
       " <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 95 & 5272.439 & NA &       NA &       NA &          NA\\\\\n",
       "\t 93 & 4681.276 &  2 & 591.1628 & 5.872131 & 0.003966438\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A anova: 2 × 6\n",
       "\n",
       "| Res.Df &lt;dbl&gt; | RSS &lt;dbl&gt; | Df &lt;dbl&gt; | Sum of Sq &lt;dbl&gt; | F &lt;dbl&gt; | Pr(&gt;F) &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|\n",
       "| 95 | 5272.439 | NA |       NA |       NA |          NA |\n",
       "| 93 | 4681.276 |  2 | 591.1628 | 5.872131 | 0.003966438 |\n",
       "\n"
      ],
      "text/plain": [
       "  Res.Df RSS      Df Sum of Sq F        Pr(>F)     \n",
       "1 95     5272.439 NA       NA        NA          NA\n",
       "2 93     4681.276  2 591.1628  5.872131 0.003966438"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "anova(mod5, mod4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 计算F值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "7.09471920596266"
      ],
      "text/latex": [
       "7.09471920596266"
      ],
      "text/markdown": [
       "7.09471920596266"
      ],
      "text/plain": [
       "[1] 7.094719"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(591.1628/2) / (3791.2575/91)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 交互效应可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Registered S3 methods overwritten by 'lme4':\n",
      "  method                          from\n",
      "  cooks.distance.influence.merMod car \n",
      "  influence.merMod                car \n",
      "  dfbeta.influence.merMod         car \n",
      "  dfbetas.influence.merMod        car \n",
      "lattice theme set by effectsTheme()\n",
      "See ?effectsTheme for details.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'education'</li>\n",
       "\t<li>'income:type'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'education'\n",
       "\\item 'income:type'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'education'\n",
       "2. 'income:type'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"education\"   \"income:type\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(effects)\n",
    "\n",
    "eff <- allEffects(mod3)\n",
    "\n",
    "names(eff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XXy5z//OefPzdUD33jjDenTp0+uHsdzEEAAAQQQSCpAgJSUh5MqsGfPHtm9e3dg\nMfT99CeoKej1p/UW9DrUv3/8jgb1byjvhQACCCDgNQECJK/VCOVBAAEEEEAAAQQQQACBvAkQ\nIOWNngcjgAACCCCAAAIIIICA1wQIkLxWI5QHAQQQQAABBBBAAAEE8iZAgJQ3eh6MAAIIIIAA\nAggggAACXhMgQPJajVAeBBBAAAEEEEAAAQQQyJsAAVLe6HkwAggggAACCCCAAAIIeE2AAMlr\nNUJ5EEAAAQQQQAABBBBAIG8C5czq88Fdfj5vrKk9eNSoUfLoo4+mljmPuXbs2CGVK1eWChUq\n5LEU2Xu0s8aTvmMQ0/79+2XXrl1SrVq1IL6efSf9Ha1SpYqULx/Mf/PR39Fy5cpJpUqVAlmH\n+/bts+s8Va1aNeH7nXTSSXL//fcnPM8JBBBAAAEEMiVQMVM34j6lF/j0009l586dMnDgwNJf\nzBUIIIBAgQhMnTpVPvzwwwJ5W14TAQQQQCDfAgRIea6BNm3ayLXXXpvnUvB4BBBAwNsCY8aM\n8XYBKR0CCCCAQGAEgtkfJTDVw4sggAACCCCAAAIIIIBALgUIkHKpzbMQQAABBBBAAAEEEEDA\n0wIESJ6uHgqHAAIIIIAAAggggAACuRQgQMqlNs8qeIE9e/bIQw89JK+99lrBWwCAAAIIIIAA\nAgh4UYAAyYu1QpkCK/D666/LnXfeKdu2bQvsO/JiCCCAAAIIIICAnwUIkPxce5QdAQQQQAAB\nBBBAAAEEMirANN8Z5eRmCCQW+OSTT0TXvtI0ffp0u/DuySefLB988IE0bNhQ+vbtW+ziOXPm\niP5oPl0Iddy4cXLMMcdI7dq15d1335XFixdLjx495IQTToi7EOzevXttPr2HLjbaqVMnOf30\n0+PmjX34li1bRBeZTZa0TIkW9/zuu+9k2rRpcvTRR4tOZ++ktWvXynvvvScHH3yw9OzZ0zls\nP1966SVp3Lix9OnTJ3J81apVMmXKFPnyyy/tOS1/u3btIufZQAABBBBAAAEEMilQLmRSJm/I\nvVIXuOKKK2T9+vXy5JNPpn4ROX0r8Otf/1peeeWVqPLPmDFDBg8eLD/88IMsWLBA6tSpE3X+\nzDPPlFmzZtlzS5YssYHQZZddZgOlrVu3SpMmTWThwoU2YJowYUJUILJ06VK5/PLLbWBRq1Yt\nqVixomzYsMHmGTVqlHTs2DHqWbE7en7FihWxh6P2f/vb38q9994bdczZ+eabb2zwduGFF8rD\nDz/sHLa/7zfccIO0aNFCZs6cGTn+9ddf2/f7wx/+IH/605/s8aeffjqyTpgGTqtXr5Zy5crZ\ncVwXXXRR5Fo2gi3wz3/+U3QdpM8//zzYL8rbIYAAAgh4QoAudp6oBgpRCAIjR46Uxx9/3L6q\nTtSgwUrr1q1tgLRr1y556623ohi+//57+fjjj+Wss86SGjVqRM5pQH3iiSfa1iMNsD788EOp\nVKmSaCCyefNmm0//3ePSSy+1Achjjz0my5YtE23R0ckhNMj41a9+ZVuUIjeNs3H++eeLBvHJ\nfrp37x7nyvChww8/3LYSffTRR1F5tLyaNIDTwNBJ2iKmqX///vbznXfekeuvv94GTfPnz7dB\norbAtWrVyo7j2rRpk83HHwgggAACCCCAQCYFCJAyqcm9EEhDQAOR8uXLi3YvcydnX1uY3OmA\nAw6QBx98UCpXrmwPH3nkkXLTTTfJokWLRCeB0KSBkLY8abe98847z7a66HHtuqYtWdo17/nn\nn9dDCdNtt90mDzzwQNKfs88+O+H1eqJfv37y448/igY4mvbt22e7yzmBlXadc5J2u2vWrJl0\n6dLFHtJWA31HDSz1nTVp17phw4ZJ3bp1bddEe5A/EEAAAQQQQACBDAoQIGUQk1shkI6AdpM7\n6aSTbGvR8uXLI7cYPXq0bYHRMUbu9Itf/KLYuJ8zzjjDZpk9e7b9dLoiaUuTdl1z/7Rt29bm\ncXdvc98/k9saIGlyWo2++OIL28o1dOhQG/xMnjzZnl+3bp189tlnNqDSAzr2Scus462c4Mhm\nNH/oGCS9z7nnnusc4hMBBBBAAAEEEMiYAJM0ZIySGyGQvoB2j3v//fftGKVrr73WBgvaJe7m\nm2+OtP44dz/ooIOczchn06ZN7baO+9GkLUSanLE8difmD71/snTVVVeJTqiQLGkApF35EqXj\njjvOjqvSAOnqq68W7W6n3QF79+4txx57rDgBko6f0m6BTvc6HW+1fft2ad68eaJbcxwBBBBA\nAAEEEMiKAAFSVli5KQKlE9AWIO029t///tdOSuB0r7vggguK3Uhno4tNOmGDJp3IQJPOLqdp\nxIgRkWP2gOsPnbghWdLWKO0elyzprHjJkk4Mceqpp9oB9jt37rQBkgZG1atXt0HS1KlTbddA\nHX+kE1Q4rWUaRGnSIImEAAIIIIAAAgjkUoAAKZfaPAuBBAIa0AwaNMiOt9GxRGPHjrXBwiGH\nHFLsingtP99++63N54zf0YkMNGkQ1KtXL7vt/KGTG2j3OieYco7HfuoEEZlI2sqks/fpdOba\nNe7GG2+0t9VWpLvuusu2nGkLk3ad04BKk7YcaZCkLUmxSVu1dHY+nfr8mmuuiT3NPgIIIIAA\nAgggUCYBxiCViY+LESidgNMysm3btmIXajc7TRo0/PTTTxKv9UjP60QMK1eu1M1I+te//mW3\nnRYYZ0zS3//+dzsxQiSj2dAAZcCAAbYbn/t4trY1kNHA57777hNdl8kJ2HRyCV3PScuus+85\n3eu0HDpphbY8aSuWrqXkTk888YTtmqf3IiGAAAIIIIAAApkWoAUp06LcD4EkAo0aNbJndWY2\nDXJ0RjlnnM0RRxwhHTp0kDfffNN2QUs0Q5x2VdPWlltuuUUaNGggL774orz99tvyxz/+0Y7r\n0QdoNzad/e6FF16wgceVV15pJ0XQlintxqcBlAZJuUgaBOmCsBMnTpSaNWtK165d7WM1CNIF\nbrVM2oKmgZQ76Wx12uqks/Dpu+qU6Dr1t05eoS1ruh4UCQEEEEAAAQQQyLQAAVKmRbkfAkkE\ndHprDUx0zSNdC+moo46KBEh6mbYiaaCjax9pMBEvacuSBklDhgyxExvopA3aKuR0XXOu0ZYZ\nnbHu//7v/2yXNOe4zoKn03fnMmk3Ow2QtIXL6Uanz9dudhog6ad7rSc9d9hhh9kxS7/73e+s\niR7TpHm1ZUzHbJEQQAABBBBAAIFMC5QzM0eFMn1T7peagC7AuX79etGFP0mFJbBjxw7RiRWc\nFiXn7XVSBZ25TluEtNXFnXTaa21x0Van+++/33ZL00VfnfFG7ryx27og68aNG23Li7bo+C1p\nFzxd7FZb2+rVq+e34lPeMgromlhjxowRZ/r6Mt6OyxFAAAEEEEgqQAtSUh5OIpAdgWrVqon+\nuJOOqfnPf/4jhx56aGQ2N/f52G0NdFINdrSVKd704LH39Oq+vmdJM+Z5teyUCwEEEEAAAQT8\nJUCA5K/6orQBFJgyZYq89957djKC+fPny6OPPlps7aMAvjavhAACCCCAAAIIeFKAAMmT1UKh\nCklAp91++OGH7dicoUOHyvnnnx/39cuVK2envq5QoULc8xxEAAEEEEAAAQQQKLsAY5DKbpj2\nHXTdG52lq2XLlmnfgwv9L6DDAHXxV528gODH//XJG2ReQKe91/F6s2bNyvzNuSMCCCCAAAIx\nArQgxYDkcrdhw4bSrVs3adq0aS4fy7MQQAABXwmsW7eu2HpevnoBCosAAggg4CsBAqQ8V1ed\nOnVk1KhReS4Fj0cAAQS8KzB8+HC7QLJ3S0jJEEAAAQSCJFA+SC/DuyCAAAIIIIAAAggggAAC\nZREgQCqLHtcigAACCCCAAAIIIIBAoAQIkAJVnbwMAggggAACCCCAAAIIlEWAAKkselyLAAII\nIIAAAggggAACgRIgQApUdfIyCCCAAAIIIIAAAgggUBYBAqSy6HEtAggggAACCCCAAAIIBEqA\nAClQ1cnLIIAAAggggAACCCCAQFkECJDKose1CCCAAAIIIIAAAgggECgBAqRAVScvgwACCCCA\nAAIIIIAAAmURIEAqix7XIoAAAggggAACCCCAQKAECJACVZ28DAIIIIBAugJvvPGGzJ07N6XL\nf/zxR3n99ddl/fr1cfPv27dPPvnkE3n11Vdl4cKFcfNwEAEEEEDAmwIESN6sF0qFAAIIIJBD\ngZEjR8qAAQNk/PjxJT5Vg5+BAwfKueeeKwsWLCiWXwOijh07So8ePWy+Nm3aSIcOHeSHH34o\nlpcDCCCAAALeEyBA8l6dUCIEEEAAgRwKvPnmmzJkyJCUn3j33XfLp59+Gjd/KBSSyy+/XFas\nWCHPPvusbT0aMWKELFmyRHr27Cnbtm2Lex0HEUAAAQS8I0CA5J26oCQIIIAAAjkUWLdunVx0\n0UVyzjnnSPnyqf3vcMaMGfLXv/5VGjVqFLekjz32mEyZMkUeeOABe+9WrVrJr3/9a3nwwQfl\n+++/l+eeey7udRxEAAEEEPCOQGr/R/BOeSkJAggggAACGRHo16+fPP/88zJo0CDRVp6Skrb+\nXHjhhdK9e3e55JJLbPZy5cpFXfbUU09JlSpV5Lzzzos6rvtVq1aVJ554Iuo4OwgggAAC3hMg\nQPJenVAiBBBAAIEcCHTt2lUmTJggL7/8stStW7fEJ1533XWyatUqeeaZZ6RChQrF8u/Zs0dm\nzZolOuYo9n61a9eWdu3ayVdffSWaj4QAAggg4F2Bit4tmr9L9s4778iGDRuSvoQO5NV/aSQh\ngAACCCQW2Lp1q6xdu1ZeeOGFxJnMmUqVKtmJFipWTO1/bY888kjS+7lP6jglnchh1KhR0rJl\nS/epyLb+N3/37t3SoEGDyDH3Rv369W1wtGbNGmnatKn7FNsIIIAAAh4SSO3/Ih4qsB+Ksn//\nfrnpppsSTv/qvMPGjRvl0EMPdXb5RAABBBCII7B06VI7fufGG2+Mc/bnQ5UrV5ajjz46YQDz\nc87Sbf30009yxRVXyNlnny2XXXZZwos3b95szzVs2DBuHg2QNDFRQ1weDiKAAAKeESBAykJV\n6GDfOXPmlHjnq666qsRWphJvQgYEEEAg4AI6Zba2uE+bNi0vb6pBkf53XVuQkiUdY6RJ/5Es\nXtLpwTXF654XLz/HEEAAAQTyI0CAlB93nooAAggg4AOBf//736JdpkePHi01atSQ7du321I7\n44h27txpj1WrVk0OPPBA0UkbEi0e6xyvU6eOD96cIiKAAAKFK0CAVLh1z5sjgAACCJQg8Oqr\nr9oc559/ftycffr0scfnz58vbdu2lcaNGycNkKpXr15sAoe4N+YgAggggEDeBAiQ8kbPgxFA\nAAEEvC4wYMAA0S5+senjjz+WL7/80k4Rri1H9erVs1nat28vU6dOtZNKuMci6cQM8+bNk+OO\nO44udrGY7COAAAIeEyBA8liFUBwEEEAAAe8IDB06NG5hbrnlFhsgXX/99XZdJCeT5p84caI8\n+eSTdrIe57jOfrd371655pprnEN8IoAAAgh4VIAAyaMVQ7EQQAABBPwncM4554i2It16662y\nZcsW6dWrlw2Y7r33XjsF+cCBA/33UpQYAQQQKDABAqQCq3BeFwEEEEAgewI6293kyZPl4osv\nlrvvvlvuuusu+7C+fftKadZdyl4JuTMCCCCAQEkCBEglCXEeAQQQQCDwAmeddZaEQqGU3/O+\n++4T/YmXdOyRznynLUjffvutNGvWzM5wFy8vxxBAAAEEvCdAgOS9OqFECCCAAAIBEKhVq5Z0\n7do1AG/CKyCAAAKFJVC+sF6Xt0UAAQQQQAABBBBAAAEEEgsQICW24QwCCCCAAAIIIIAAAggU\nmAABUoFVOK+LAAIIIIAAAggggAACiQUIkBLbcAYBBBBAAAEEEEAAAQQKTIAAqcAqnNdFAAEE\nEEAAAQQQQACBxAIESIltOIMAAggggAACCCCAAAIFJkCAVGAVzusigAACCCCAAAIIIIBAYgEC\npMQ2nEEAAQQQQAABBBBAAIECEyBAKrAK53URQAABBBBAAAEEEEAgsQABUmIbziCAAAIIIIAA\nAggggECBCRAgFViF87oIIIAAAggggAACCCCQWIAAKbENZxBAAAEEEEAAAQQQQKDABAiQCqzC\neV0EEEAAAQQQQAABBBBILECAlNiGMwgggAACCCCAAAIIIFBgAgRIBVbhvC4CCCCAAAIIIIAA\nAggkFiBASmzDGQQQQAABBBBAAAEEECgwAQKkAqtwXhcBBBBAAAEEEEAAAQQSCxAgJbbhDAII\nIIAAAggggAACCBSYAAFSgVU4r4sAAggggAACCCCAAAKJBQiQEttwBgEEEEAAAQQQQAABBApM\ngACpwCqc10UAAQQQQAABBBBAAIHEAgRIiW04gwACCCCAAAIIIIAAAgUmQIBUYBXO6yKAAAII\nIIAAAggggEBiAQKkxDacQQABBBBAAAEEEEAAgQITIEAqsArndRFAAAEEEEAAAQQQQCCxAAFS\nYhvOIIAAAggggAACCCCAQIEJECAVWIXzuggggAACCCCAAAIIIJBYgAApsQ1nEEAAAQQQQAAB\nBBBAoMAECJAKrMJ5XQQQQAABBBBAAAEEEEgsQICU2IYzCCCAAAIIIIAAAgggUGACBEgFVuG8\nLgIIIIAAAggggAACCCQWIEBKbMMZBBBAAAEEEEAAAQQQKDABAqQCq3BeFwEEEEAAAQQQQAAB\nBBILVEx8ijMIIIAAAggUjsAbb7whrVu3lg4dOsR96e3bt8ucOXNk2bJl0qxZM+nYsaPUqVMn\nbt59+/bJ9OnTZeXKldK5c2d737gZOYgAAggg4DkBWpA8VyUUCAEEEEAg1wIjR46UAQMGyPjx\n4+M++plnnpGWLVtK9+7d5bzzzpOePXvKQQcdJA899FCx/AsXLrTBU48ePWTgwIHSpk0bG3T9\n8MMPxfJyAAEEEEDAewIESN6rE0qEAAIIIJBDgTfffFOGDBmS8IkTJkyQX/3qV1K9enW55557\nbCvSgw8+KE2bNpXf//738uyzz0auDYVCcvnll8uKFSvscQ2WRowYIUuWLLFB1bZt2yJ52UAA\nAQQQ8KYAXey8WS+UCgEEEEAgywLr1q2zAc7zzz8vVapUSfg0DYo08Hn88celb9++Np92rzvu\nuOPk2GOPlfvuu08uvvhie/yxxx6TKVOmiH5edNFF9lirVq3s55VXXinPPfec/OY3v7H7/IEA\nAggg4E0BWpC8WS+UCgEEEEAgywL9+vUTDY4GDRpkW3niPW7//v2irT6HH364nHzyyVFZjjnm\nGGnbtq0sWLBAdMyRpqeeesoGW9oNz510v2rVqvLEE0+4D7ONAAIIIOBBAQIkD1YKRUIAAQQQ\nyL5A165dRbvPvfzyy1K3bt24DyxfvrzMmDFD5s6dKxUqVIjKs3PnTjsJQ4sWLey5PXv2yKxZ\ns+yYo9j71a5dW9q1aydfffWVaD4SAggggIB3Behil4W60X9x1IG569evT3r3b7/91s6ElDQT\nJxFAAIECF1i0aJF888030rt376QSlStXti04OjYolfTII4+kki1hnuHDh8vmzZvlt7/9rc2z\nYcMG2b17tzRo0CDuNfXr17fB0Zo1a+z4pbiZOIgAAgggkHcBAqQsVIH+i6P+j1z/Z5ksabcN\n/VdFEgIIIIBAYgFtjdH/Vvbp0ydxJnOmUqVKCafdTnphGie11WnYsGF2+u4///nP9g4aLGlq\n2LCh/Yz9QwMkTUzUECvDPgIIIOAtAQKkLNXHNddcU+Kdf/rppxKDqBJvQgYEEEAg4AIacDRv\n3lzuvPNOT7ypjjPSCRcaNWokOgNetWrVbLl0jJEm7UUQLznjlGK76sXLyzEEEEAAgfwJMAYp\nf/Y8GQEEEEDAZwLaanTppZfagG3y5MnSvn37yBsceOCBUq5cuYTdq51u14kWl43ciA0EEEAA\ngbwK0IKUV34ejgACCCDgBwGd5vvaa6+1C8Pq7HVvv/22HHDAAVFFr1ixojRu3DhpgKRrKcVO\n4BB1E3YQQAABBPIuQAtS3quAAiCAAAIIeFlAu8xddtllNjg655xzZOLEicWCI6f82qKkE0qs\nXbvWOWQ/dWKGefPmic6cRxe7KBp2EEAAAc8JECB5rkooEAIIIFBYAuu3iezY7d131gViddzR\ngAED5JVXXhFtBUqUhg4dKnv37pUnn3wyKsuoUaPs8VTGp0ZdyA4CCCCAQM4F6GKXc3IeiAAC\nCCCgArvMckCrt4Q/m9bzpsm6devkj3/8oy3cpk2b5Je//GXcgj733HNSs2ZN0RYmbUW69dZb\nZcuWLdKrVy/b4nTvvffaAEuXgCAhgAACCHhbgADJ2/VD6RBAAIFACmir0fqt3n+1qVOnysaN\nG21BP/zww4QFdhZ/1WUedPKGiy++WO6++26566677DV9+/aVsq67lPDhnEAAAQQQyKgAAVJG\nObkZAggggEAyAXerUbJ8uT531llniU7EEJvOPvvsuMdj87n3dVryd955x7YgOQuC6wx3JAQQ\nQAABfwgQIPmjniglAggg4HsBv7QaZQq6Vq1adlKGTN2P+yCAAAII5EaAACk3zjwFAQQQKFgB\nr7YaFWyF8OIIIIAAAkkFCJCS8nASAQQQQKAsAjrOSFuOSAgggAACCPhFgADJLzVFORFAAAEf\nCdBq5KPKoqgIIIAAAlECBEhRHOwggAACCJRVgFajsgpyPQIIIIBAPgUIkPKpz7MRQACBAAnQ\nahSgyuRVEEAAgQIWIEAq4Mrn1RFAAIFMCdBqlClJ7oMAAgggkG8BAqR81wDPRwABBHwsoK1G\nqzaL7N7r45eg6AgggAACCLgECJBcGGwigAACCKQuQKtR6lbkRAABBBDwjwABkn/qipIigAAC\nnhCg1cgT1UAhEEAAAQSyJECAlCVYbosAAggEUYBWoyDWKu+EAAIIIOAWIEBya7CNAAIIIBBX\ngFajuCwcRAABBBAIoAABUgArlVdCAAEEMimwfpuIthyREEAAAQQQKAQBAqRCqGXeEQEEEEhD\nQGem0xnqtPWIhAACCCCAQKEIECAVSk3znggggEApBGg1KgUWWRFAAAEEAiVAgBSo6uRlEEAA\ngbIJ0GpUNj+uRgABBBDwvwABkv/rkDdAAAEEMiKwYbvIui0ZuRU3QQABBBBAwLcCBEi+rToK\njgACCGRGwLYabTJjjcyYIxICCCCAAAKFLkCAVOi/Abw/AggUtMAGnaHO/IRCBc3AyyOAAAII\nIBARIECKULCBAAIIFI7Ann1mhjrTarSTGeoKp9J5UwQQQACBlAQIkFJiIhMCCCAQHIGNOtbI\nrGtEq1Fw6pQ3QQABBBDInAABUuYsuRMCCCDgaQFajTxdPRQOAQQQQMAjAgRIHqkIioEAAghk\nU4BWo2zqcm8EEEAAgSAJECAFqTZ5FwQQQCBGQFuNVm8W2bE75gS7CCCAAAIIIBBXgAApLgsH\nEUAAAf8L0Grk/zrkDRBAAAEEci9AgJR7c56IAAIIZFVgr85QR6tRVo25OQIIIIBAcAUIkIJb\nt7wZAggUoMCmHSJrtzBDXQFWPa+MAAIIIJAhAQKkDEFyGwQQQCCfAtpqtNoERtt35bMUPBsB\nBBBAAAH/CxAg+b8OeQMEEChwgc3aamTWNdq/v8AheH0EEEAAAQQyIECAlAFEboEAAgjkQ8C2\nGpmxRtuZoS4f/DwTAQQQQCCgAgRIAa1YXgsBBIItQKtRsOuXt0MAAQQQyJ8AAVL+7HkyAggg\nUGqBfaYbna5rtI2xRqW24wIEEEAAAQRSESBASkWJPAgggIAHBLbsFFljgqP9IQ8UhiIggAAC\nCCAQUAECpIBWLK+FAALBEdBWozVmhrqtJkAiZU/gjTfekNatW0uHDh3iPmTfvn0yffp0Wbly\npXTu3NnmjZvRHCxN3kT34DgCCCCAQH4EyufnsTwVAQQQQCAVAQ2Kvl9HcJSKVVnyjBw5UgYM\nGCDjx4+Pe5uFCxdKx44dpUePHjJw4EBp06aNDaR++OGHYvlLk7fYxRxAAAEEEMi7AAFS3quA\nAiCAAALFBbQb3apNIj+ZH21BImVP4M0335QhQ4YkfEAoFJLLL79cVqxYIc8++6xoADRixAhZ\nsmSJ9OzZU7Zt2xa5tjR5IxexgQACCCDgKQG62HmqOigMAgggEJ6AQSdiIDDK7m/DunXr5Pe/\n/708//zzUqVKlYQPe+yxx2TKlCminxdddJHN16pVK/t55ZVXynPPPSe/+c1v7H5p8iZ8ICcQ\nQAABBPIqQAtSXvl5OAIIIPCzgC70qoHRyo0ERz+rZG+rX79+NjgaNGiQbRFK9KSnnnrKBlDn\nnXdeVBbdr1q1qjzxxBOR46XJG7mIDQQQQAABTwkQIHmqOigMAggUqoAu9vr9ehFd34iUG4Gu\nXbvKhAkT5OWXX5a6devGfeiePXtk1qxZdsxRbJ7atWtLu3bt5KuvvhLNV5q8cR/GQQQQQAAB\nTwjQxS5L1aCzHG3dujXp3Tdu3Ch79+5NmoeTCCAQbAFtNVpr/lNBYJS4nnVGuJ07d9qxP4lz\niVSqVElatGiRLEvUuUceeSRqP97Ohg0bZPfu3dKgQYN4p6V+/fo2MFqzZo1UrFgx5bxNmzaN\nez8OIoAAAgjkX4AAKQt1sN9842nbtq1s2WLm5S0h6ZSyJAQQKEwBbTXSLnV79xXm+6f61jNn\nzrStNDpzXElpwYIFtrWnpHypnt+82VSQSQ0bNox7iQZImnSihnLlytntVPLajPyBAAIIIOBJ\nAQKkLFRL+fLl5fvvv5ft27cnvfstt9wiO3bQnyYpEicRCKCAmRRN1pp/P9nEX/+Uale7wi1e\nvFjGjBmTNL+2IDVq1ChpntKe1DFGmvQfvuIlbd3SVKFCBalcubLdTiWvzcgfCCCAAAKeFCBA\nylK1aF/12P7qsY+qUaOG7Y4Re5x9BBAIrsAO02q0ilajUlWwtsxo8JGPbmkHHnigbRlav94M\nEIuTnON16tQR/dGyOsdiszvHNR8JAQQQQMC7AgRI3q0bSoYAAgES0FajdWas0cbkDcsBeuNg\nvIqOK2rcuHHSoKd69er2H8S0FSnVvMHQ4S0QQACBYAowi10w65W3QgABDwns3GNmqFtHcOSh\nKilVUdq3by/ffPONrF27Nuo6nZhh3rx5ol0ANTjSVJq8UTdjBwEEEEDAMwIESJ6pCgqCAAJB\nE3BajZab3ll7mIjBt9U7dOhQO+Pok08+GfUOo0aNssevueaayPHS5I1cxAYCCCCAgKcE6GLn\nqeqgMAggEBSBXWYG/1WbRHYzk7/vq/Scc86xLUO33nqrnZ20V69eMnHiRLn33ntlwIABMnDg\nwMg7liZv5CI2EEAAAQQ8JUCA5KnqoDAIIBAEgfVmrNH6bUF4E95BBXRm0smTJ8vFF18sd999\nt9x1110Wpm/fvhK7llJp8qKLAAIIIOBNAQIkb9YLpUIAAR8K7DJjjXSGOlqN/Fd5Z511loS0\nT2SCpGsbvfPOO7YF6dtvv5VmzZqJznAXL5Umb7zrOYYAAgggkF8BAqT8+vN0BBAIiIC2GGnL\nESnYArVq1bKTMqTylqXJm8r9yIMAAgggkBsBAqTcOPMUBBAIqIC2FmmrkbYekRBAAAEEEEDA\n/wIESP6vQ94AAQTyJLDBrGm0bkueHs5jEUAAAQQQQCArAgRIWWHlpgggEGQBnbJbZ6jT9Y1I\nCCCAAAIIIBAsAQKkYNUnb4MAAlkW2KitRmasUZLx/FkuAbdHAAEEEEAAgWwKECBlU5d7I4BA\nYARoNQpMVfIiCCCAAAIIJBUgQErKw0kEEEBAhFYjfgsQQAABBBAoHAECpMKpa94UAQRKKbBX\nxxqZGep27C7lhWRHAAEEEEAAAd8KECD5tuooOAIIZFNg0w6RtWaGOsYaZVOZeyOAAAIIIOA9\nAQIk79UJJUIAgTwKaKvRatNqtJ1WozzWAo9GAAEEEEAgfwIESPmz58kIIOAxgc3aamRmqNu/\n32MFozgIIIAAAgggkDMBAqScUfMgBBDwqsA+ExBpq9G2XV4tIeVCAAEEEEAAgVwJECDlSprn\nIICAJwW27BRZY8Ya0WrkyeqhUAgggAACCORcgAAp5+Q8EAEEvCBAq5EXaoEyIIAAAggg4D0B\nAiTv1QklQgCBLAtsNV3pVm8yrUahLD+I2yOAAAIIIICA7wQIkHxXZRQYAQTSFdBWI+1Ot9V0\nqyMhgAACCCCAAALxBAiQ4qlwDAEEAiegQZEGRxokkRBAAAEEEEAAgUQCBEiJZDiOAAKBENBu\ndGvMDHU6GQMJAQQQQAABBBAoSYAAqSQhziOAgG8FdNpunb6bViPfViEFRwABBBBAIOcCBEg5\nJ+eBCCCQbQGdslsXfNWFX0kIIIAAAggggEBpBAiQSqNFXgQQ8LzA9t3hVqO9+zxfVAqIAAII\nIIAAAh4UIEDyYKVQJAQQKL0ArUalN+MKBBBAAAEEECguQIBU3IQjCCDgMwFajXxWYRQXAQQQ\nQAABDwsQIHm4cigaAggkFwiZGerWmqm7NzHWKDkUZxFAAAEEEEAgZQECpJSpyIgAAl4S2GHG\nGq0yM9Qx1shLtUJZEEAAAQQQ8L8AAZL/65A3QKCgBGg1Kqjq5mURQAABBBDIuQABUs7JeSAC\nCKQroK1Gq02Xuj17070D1yGAAAIIIIAAAskFCJCS+3AWAQQ8IKCtRuvMukYbt3ugMBQBAQQQ\nQAABBAItQIAU6Orl5RDwv8DOPWas0SbTasS6Rv6vTN4AAQQQQAABHwgQIPmgkigiAoUoQKtR\nIdY674wAAggggED+BQiQ8l8HlAABBGIEaDWKAWEXAQQQQAABBHImQICUM2oehAACJQloq9H6\nbSIbzA8JAQQQQAABBBDIhwABUj7UeSYCCBQToNWoGAkHEEAAAQQQQCAPAgRIeUDnkQgg8LOA\nbTUyM9RtYIa6n1EKZGvffpHp34mMnRWevv3xX4m0ObBAXp7XRAABBBDwrAABkmerhoIhEHyB\nXWY9I52hbjfrGgW/sl1vuGClyJivRMbNNtO3m3WtbCon8rYJlG443ZUxj5vff/+9zJkzx5ag\nU6dOcvDBBycszfLly2XmzJlSo0YN6datm/1MmJkTCCCAAAKeFyBA8nwVUUAEgimw3rQa6Xgj\nUmEIaCD8jgmINDBatCr6natUEunfReR/e0Qfz8ferl27ZMiQIfLkk09KSJs3TSpXrpxcccUV\n8tBDD0nVqlWjinXnnXfKPffcI3v3hqP8ChUq2P2bbropKh87CCCAAAL+ESBA8k9dUVIEAiGw\nS9c12kyrUSAqs4SX2LZL5MNvTFBkWoZmLBETcERfcHRLkTOPEDmlg+la10SkeuXo8/nYu+WW\nW2TUqFFyxhlnyHXXXSfly5eXv//97zJy5EgbHGmQ5KQJEybIsGHDZMCAAXL77bfLnj175I47\n7pCbb75ZqlWrJkOHDnWy8okAAggg4COBcuZfyGL+l+Wj0vu8qFdddZVs2LBBRo8e7fM3ofgI\npCZAq1FqTn7OZccVLQ4HRR/OE9HJN9ypZaNwUNTPBEZN6v58pmm9xAHS8OHD5fXXX5dp06b9\nfEEWtvR/h3Xq1LEtR9ptTrc1bdmyRZo1a2YDIN2uWLGibN++XTp06GCPLVu2TLTlSNPu3bul\nbdu2tsGqj9UAAEAASURBVEVp6dKlkeP2JH8ggAACCPhCgBYkX1QThUTA3wLaarTajDXRT1Iw\nBeb/aCZbcMYVme6T7lS/hsjpnUxgZLrRHd7MfcZb29u2bbOBT+fOnSPBkZawVq1a0qVLF5ky\nZYqsX79eGjduLJMmTRINgLS1yAmONG/lypVl8ODBtpvd+PHjpX///nqYhAACCCDgIwECJB9V\nFkVFwI8CtBr5sdZSK7OOK9KgSH8Wr46+RscV9W4Xbi06rpVIxXADS3Qmj+3VrFlTjjvuOJk6\ndarMnj1bNFDStHjxYvn444/liCOOsMGRHpsxY4Z+yLHHHms/3X84xz7//HMCJDcM2wgggIBP\nBAiQslRR9957r/2XxmS3//TTT6VuXVcfk2SZOYeAzwRoNfJZhaVY3K1mXNEHc8Nd6D5fGj2u\nyMxlIEe3MBMu6LiijiI1q6R40xKyrVq1SnRWuRtvvDFpTm290Rad2rVrJ82X7OQjjzxiW4C6\nd+8u5557rlSpUkVefvlladmypR2H5FyrZdLUoEED51Dks379+nZ7xYoVkWNsIIAAAgj4R4AA\nKQt1pf3Y582bV2KApOOP9H++JASCJqCz02nLESkYAjqu6NNF4aDoo/nFu0oe1jgcFGlgdEB4\n2E5GX1zH++zYscP+dzXZjStVqmTzlSVA0nFFl1xyiQ3Gnn/++cjjbrjhBunatWtkf/NmM9OI\nSQ0bNowcczacAEm77JEQQAABBPwnQICUhTrTKWGfeeaZEu/sTNJQYkYyIOATAVqNfFJRKRZz\nnhlXpDPQjZ9t1iuK+a7foKbIGUXjito1TfGGaWbT1hud+GDMmDFp3iG1y3SChd69e8sXX3xh\nZ6678MIL7YUvvPCC6Ox2EydOlLFjx9p1jpzpvvfvN9FjTNq3b5894h6bFJOFXQQQQAABDwsQ\nIHm4cigaAn4SoNXIT7WVuKw/bQwv4KrrFX0XM66oqhlX1Kd9eFxR91YiFconvo8fz3z00Uei\nXZ///Oc/2ym+nXe49tpr7Wx1urbRe++9Z6f1bto0HBXqpA2xyTnmzIIXe559BBBAAAFvCxAg\nebt+KB0CnhfYbdbH1HWNmKHO81WVsIBbd4q8Pzc82cJnZr0id9JxRcfoekVmBrqTDxepEeBe\nwU4L1TnnnOMmsNsDBw4UDZDefvvtlAMknRqchAACCCDgPwECJP/VGSVGwDMCtBp5pipKXZC9\npheYHVdkWoomxhlX1ErHFZmgqJ+ZyC0b44pKXeAcXKCLwmpavTqm6cwc0+53mpzuc+3bm6Y0\nk3S6b10o1p30mCZnNjv3ObYRQAABBLwvELAOEt4Hp4QIBEFAW41+MD2LmIjBf7U5d7nI8LEi\nfR8QGfqcyLtzfm79a1BL5OLjRUZfLfLKUJFLTyic4EhrsmfPnrZCH3/8cYkdWzRy5Eh7zsnT\nq1cv6dSpk7z00kviTNigGTZt2mSP6bpJJ554or2GPxBAAAEE/CVAC5K/6ovSIpB3AVqN8l4F\npS7ASjOuSNcq0nFFS9dEX67jik7ScUWmtajbYcEbVxT9tsn3tBtd37595dVXXxXtZqeTNOg4\noldeeUVGjRpl10i67LLLIje59dZb7ZTgffr0Ed3WGUx1iYe1a9fKuHHjpGJF/hcbwWIDAQQQ\n8JEA//X2UWVRVATyKcBYo3zql/7ZW3Rc0dfhoOiLpdHX67iiboeGp+Y+KeDjiqLfPPmezkD6\n2muv2UkaHnroITveSK/Q6cOvvvpqueeee8Q9M90FF1xgW5qGDh0qgwYNsjevV6+eaAvUUUcd\nlfxhnEUAAQQQ8KwAAZJnq4aCIeAdAVqNvFMXyUqi44o+XhhuLdJxRRrUulPrA8ItRWeYcUWN\na7vPsO0I1KhRQx544AHbErRo0SIbALVu3doGSU4e96e2Mg0ePFgWL14su3btklatWrG+nRuI\nbQQQQMCHAgRIPqw0ioxArgRoNcqVdNme8/XycEuRjifaELNeUUMzrkgDIu1C1/bAsj2nkK7W\n7nHt2rVL6ZW15UkDIxICCCCAQDAECJCCUY+8BQIZF6DVKOOkGb3hCjNJxjgTEOlCrsvWRt9a\nxxXplNw6C11305WuaHK26EzsIYAAAggggEBcAQKkuCwcRKBwBWyr0SYzs1lM96zCFfHOm+u4\noglF44q+XBpdrvJmXNGxZpKFM48wky6Y4Kh65ejz7CGAAAIIIIBAagIESKk5kQuBghDQViPt\nomUm4yJ5RGCPGVf0iRlXpDPQ6biiPTGBa2vTbU67z+l6RY1MdzoSAggggAACCJRNgACpbH5c\njUAgBGg18l41zv4hPNnCu6bFaGPMuKJGZoIFZ1xRGzPxAgkBBBBAAAEEMidAgJQ5S+6EgC8F\nGGvknWpbbsYVjZ1tfsy4ou/XRZermuky54wr6taScUXROuwhgAACCCCQOQECpMxZcicEfCXA\nDHXeqK7NO0TeKxpXNGtZdJl0XFH3VuHJFk4yE6ppkERCAAEEEEAAgewKECBl15e7I+BJAVqN\n8lstOq5o6rfhGegmm8/YcUVtmxStV9RJRKfpJiGAAAIIIIBA7gQIkHJnzZMQyLsArUb5rQId\nV6TTcuu4ok3bo8uiC7f2MzPQ6Sx0rRhXFI3DHgIIIIAAAjkUIEDKITaPQiCfArQa5Uf/BzOu\naJyZgU4DI912J52K++QO4aDoGMYVuWnYRgABBBBAIG8CBEh5o+fBCORGgFaj3Di7n6KtQ+/N\nDU+2MOt795nw5ArHmfWKdBFXHVdUlXFF0UDsIYAAAgggkGcBAqQ8VwCPRyCbArQaZVM3+t4a\niE7V9YpMS9HkBSJ7zTgjd2rXNNxSdHpnM66opvsM2wgggAACCCDgJQECJC/VBmVBIEMCtBpl\nCDKF22gLkQZFOhOdzkjnTgfUKRpXZIKiwxhX5KZhGwEEEEAAAc8KECB5tmooGALpCdBqlJ5b\naa7SNYrGmnFF+qNrF7lTjSoip5hxRf3NZAs6rqicmaqbhAACCCCAAAL+ESBA8k9dUVIEkgrQ\napSUp8wnN+q4Il2vyLQW6Wx07lS+vMjxrU0XOtNS1JtxRW4athFAAAEEEPCdAAGS76qMAiNQ\nXIBWo+ImmTiye48ZT2TWKdKWoinmM3Zc0eHNwi1Fp5v1ihowrigT5NwDAQQQQACBvAsQIOW9\nCigAAukL7DJf4FdvEdFPUuYEZi4rGldkZqLbEjOuqEldM67ItBTpLHSHNsrcM7kTAggggAAC\nCHhDgADJG/VAKRAotQCtRqUmS3rBsrU/jytasSE6a82q4XFFuohr1xaMK4rWYQ8BBBBAAIFg\nCRAgBas+eZsCEKDVKHOVvGHbz+OK5iyPvq+OK+qh44pMUKTjiqpUij7PHgIIIIAAAggEU4AA\nKZj1ylsFVGD9VhFtOSKlL6DjiiaZdYp0soWpi0T2xaxXpOOKNCjScUX1GVeUPjRXIoAAAggg\n4FMBAiSfVhzFLiwBbTVatVlEZ6ojlV4gFBL50owrGmuCogk6rmhn9D2ccUVnmnFFLRlXFI3D\nHgIIIIAAAgUmQIBUYBXO6/pPgFaj9OtsqRlXpC1FOgvdyo3R96llxhWdqusVmaDoqEMYVxSt\nwx4CCCCAAAKFK0CAVLh1z5t7XGCXaS1atYlWo9JWk3ZBfHeOCYxMUDR3efTVFSqI9GxlutCZ\noKhXW5HKjCuKBmIPAQQQQAABBIQAiV8CBDwmoN3BdPIAxhqlXjHaBdEZV/RxnHFFHZuHxxX1\n1XFFNVK/LzkRQAABBBBAoPAECJAKr855Yw8L0GqUeuVoIPnF0nD3OR1XtDVmXFHTuuHuczrh\nwiENU78vORFAAAEEEECgsAUIkAq7/nl7jwjol31tMdKWI1Jyge/WhCdbGDc7zriiauFxRdqF\n7siDGVeUXJKzCCCAAAIIIBBPgAApngrHEMihwE7TPWw1M9QlFdeJKt4x44p0soVvVkRnrajj\nisx6RTrZQq82jCuK1mEPAQQQQAABBEorQIBUWjHyI5AhAVqNkkPquKKP5pnJFkxL0ScLRfbv\nj87fSccVmaCob0eReowrisZhDwEEEEAAAQTSFiBASpuOCxFIX0BbjXSGuj0xi5Smf8dgXKlB\n4+dLwjPQvW/GFW3bFf1ezeuL9OscDowObhB9jj0EEEAAAQQQQCATAgRImVDkHgikKKABwDrT\nXWzj9hQvKJBsi1eHu8/puKKfNka/dC0zrug000qkrUVdzLgiEgIIIIAAAgggkE0BAqRs6nJv\nBFwCtBq5MMymBorvmIBIxxXN+zH6nI4rOsGMJ9KgSD8r81+qaCD2EEAAAQQQQCBrAnztyBot\nN0YgLECr0c+/CTt3m3FF88Nd6D416xXFjis64qDwZAs6rqhu9Z+vYwsBBBBAAAEEEMiVAAFS\nrqR5TkEK7DABgc5QV8hjjTQI+nxp0biir0W2GxN3OsiMK+pv1irSWeh0m4QAAggggAACCORT\ngAApn/o8O7ACtBqJLFplus+ZLnTjTBc6nZDCnWrruKJOpgudCYyOYFyRm4Ztjwjs2bNH5syZ\nI9999520bNlSjjzySClfvnzc0i1fvlxmzpwpNWrUkG7dutnPuBk5iAACCCDgCwECJF9UE4X0\nk4BtNdpiWo32+qnUmSnrWte4ovkx44oqmf/aOOOKdN0ixhVlxpy7ZF5gzJgxcvHFF8vGjT/P\nGNK1a1d58cUXpXVr88vrSnfeeafcc889sndv+C98hQoV7P5NN93kysUmAggggICfBAiQ/FRb\nlNXTAtpqtNYERpt2eLqYGS+cBoQfmnFFY2eJTNNxRcbBnXTmOe0+17eDSB3GFblp2PagwNtv\nvy1nn322dOjQQZ588klp0aKFjBgxQkaOHCnnnnuufPnll1KpUiVb8gkTJsiwYcNkwIABcvvt\nt4u2Ot1xxx1y8803S7Vq1WTo0KEefEOKhAACCCBQkkC5kEklZeJ8dgSuuuoq2bBhg4wePTo7\nD+CuORPQcTU61mhvgaxrpOOKZiwJjyv6wKxXpEGSO+kaRXZckelCp2sXkRAoSaBpPZHqlePn\nGj58uLz++usybdq0+BkyePSYY46RBQsWyBdffBHVWnTeeefJyy+/LB999JH07t1btm/fboMo\nDYqWLVsm2nKkaffu3dK2bVvborR06dLI8QwWkVshgAACCGRZgBakLANz+2ALaKCwbptpNSqQ\ndY0WmnFFY0xLka5XtMYEhO6krUOnm3FFGhh1NrPRkRDwm8CkSZPk888/l3vvvTcqONL3+Nvf\n/iZXXnmlHH744fa1NK8GQNpa5ARHeqJy5coyePBg281u/Pjx0r9/f5ufPxBAAAEE/CNAgOSf\nuqKkHhMolFajNabboK5XpIHRtz9FV4KOK+rVNrxeUQ8zNKNS+B/RozOxh4BPBLTVSFPfvn3t\n56ZNm+Trr7+WNm3ayEEHHWR/7Anzx4wZM+zmscce6xyKfDrHNNgiQIqwsIEAAgj4RoAAyTdV\nRUG9IqCtRjoZweYAjzXS4O+jeeGgaPri4uOKjjwkHBSdasYV6Yx0JASCIKCz0WmqV6+e/OIX\nv5Bx48aZtbrMX3iTdPyRjkVq0MD0HzVp1SrTnGqSs293iv6oXz/cr3TFihXuw2wjgAACCPhE\ngAApCxWl/0Nt1aqVrF+/Pundd+zYYfMlzcRJTwls22W6lpkWlSCONdLvgdPNuCKdbOGDb4qP\nKzqkYdG4os4izcLf/zxVNxQmuAKzZ8+2Xd/q1q2b9CV18oTp06fLoYcemjRfopNOQPPLX/5S\n9u3bZwOimjVr2tnrXnvtNfnpp59k6tSpUq5cOdm8OdzHtGFD8xcjJjkB0rZtpv8tCQEEEEDA\ndwIESFmoMl0r46mnnrITMCS7/aOPPhqZDSlZPs7lX0BnZtMZ6oLYarTAdJsba9Yq0vWK9B3d\nqW4NM66oYzgw6sS4IjcN2zkU0H9wOuyww+T+++9P+lQd/3PIIaZ5M83kBD07d+60s9VVrVrV\n3kknaDjxxBNlypQpdqIG3XfOOS1M7kdqcKXJPTbJfZ5tBBBAAAFvCxAgZal+9H+mJSUdwKuz\n2JG8LaCtRjpD3b5wTxtvFzbF0un7OOOKdOIFd9L1iXq3CwdFxzOuyE3Ddp4Eqlevbru96fTb\n2UxNmjSxtx8yZEgkAHKed/7559sA6dNPPxUNkJo2bWpPxesp4ByrU6eOczmfCCCAAAI+EiBA\n8lFlUdTcCmirkc7UtmVnbp+brafpuKIPTdc5nWxh+ncisRP8H9XCjCsyM9CdalqMaoX/4Txb\nReG+CHhSoHnz5rZcBxxwQLHynXLKKfbYmjVr7GcqAVKzZs2K3YcDCCCAAALeFyBA8n4dUcI8\nCGw1QZGONfJ7q5GWX4MhZ1zRzj3RmC0ahYOifmZcka5DQ0KgkAXat29vX18Xgx04cGAUxcqV\nK+2+rpOkycmr033rQrHupMc0ObPZuc+xjQACCCDgfQECJO/XESXMoYAGFNpqtNV0q/NzWmC+\ny43RcUWzzTpNMeOK6um4IrNekbYWdQj/g7mfX5WyI5AxAZ2cQafzfvrpp0W72blbgB5++GH7\nnBNOOMF+9urVSzp16iQvvfSSDBs2TGrXrm2P69TgeqxLly523FLGCseNEEAAAQRyJkCAlDNq\nHuR1AQ2KNDjya6vRqk1F44pMYLQoZlxRlUpmvSIzrkiDouNbiVRkvSKv/zpSvjwI6CQPf/3r\nX+XSSy+VU089Va655ho7I54GTK+88or84Q9/kK5du0ZKduutt9pFYfv06SO6HTL9VnWR2bVr\n19opwitW5H+xESw2EEAAAR8J8F9vH1UWRc2OgG01Mq0s2q3Ob0knkHDGFc0wU3THjis6umU4\nKDrFrFdUk3FFfqteypsHgUsuuUQaNWokV111lf3RIujkDTfeeKMMHz48qkQXXHCBXSdp6NCh\nMmjQIHtO11B6/PHH5aijjorKyw4CCCCAgH8ECJD8U1eUNAsCOm23LvpatBZkFp6Q+VtqQDdt\nUbgLnS7mGjuu6NDGZgY6M6aon2ktapJ82ZjMF447IhAAgX79+smyZcvsukcbN26Udu1M82uC\ndOGFF9pWpMWLF8uuXbvs2nZVqlRJkJvDCCCAAAJ+ECBA8kMtUcaMC+wxy5ToVNc7zMxufknz\nzbginWzBjisyQZ07NTDjik7TcUVdRA5n4iw3DdsIpC1w4IEHiv6UlHThWF2riYQAAgggEAwB\nAqRg1CNvUQqBDWZx+/XmJ7Y7WilukbOsOq5IF3HVn8Wrox+r44r66LgiExR1P4xxRdE67CGA\nAAIIIIAAAukJECCl58ZVPhTYZaa4Xm3GGumnl5NOFvHB3PB6RZ8vjQ7kzD9Uy9Etwou4nmLW\nK6pJTx4vVyVlQwABBBBAAAEfChAg+bDSKHLpBLSlSFuMtOXIq0nHFX2q44pMF7qP5hcP4g7T\ncUVmTJH+HFDHq29BuRBAAAEEEEAAAf8LECD5vw55gyQCOsZIxxrpmCMvpnk/hoOi8bPNekUx\nAVyDmiJnFI0ratfUi6WnTAgggAACCCCAQPAECJCCV6e8kRHYb1qN1prudDpLndfSTxvDEy3o\nQq7fxYwrqqrjitqHp+bu3kqkQnmvlZ7yIIAAAggggAACwRYgQAp2/Rbk2+l6RmtMcOSlBV+1\nTO/PDU+28JlZr8iddFzRMbpekZls4eTDRWowrsjNwzYCCCCAAAIIIJBTAQKknHLzsGwK7DXd\n6DQw0sVTvZC0PJ8UrVc0Kc64olY6rsgERf3MmkWMK/JCjVEGBBBAAAEEEEDAzAwMAgJBENhk\nutKt88iCr3OXh1uKxs8JTw7h9m1QywREZlyRBkbtmrjPsI0AAggggAACCCDgBQECJC/UAmVI\nW0AnX9C1gnbmeerulWZcka5VpOOKlq6Jfh0dV6Rd5zQo6nYo44qiddhDAAEEEEAAAQS8JUCA\n5K36oDSlEHCm7s7Xgq9bdFzR1+Gg6Iul0QXXcUUaDOm4opNMcFS9cvR59hBAAAEEEEAAAQS8\nKUCA5M16oVRJBLS1SKfu3r03SaYsndJxRR8vDLcWTTTjimLL0PqAcFB0hhlX1Lh2lgrBbRFA\nAAEEEEAAAQSyJkCAlDVabpxpAW0p0nFGG7dn+s4l3+/r5eGWonfNuKLYBWcbmnFFGhBpa1Hb\nA0u+FzkQQAABBBBAAAEEvCtAgOTduqFkLgFdz0i71GkLTq7SivVmvSITEI2ZJbJsbfRT3eOK\nupuudOVZrygaiD0EEEAAAQQQQMCnAgRIPq24Qim2TtmtrUaxXdmy9f4aiE0oWq/oy6XRTylv\nxhUde5hpKTqCcUXRMuwhgAACCCCAAALBESBACk5dBupNduwOB0a5mJ1OZ8LTcUXaUjRpgcie\nmLFNrU23Oe0+p+sVNTLd6UgIIIAAAggggAACwRUgQApu3fryzbSlSFuMcrHY6+wfwpMtvGtm\nottouu+5UyMzwYIGRBoY6cQLJAQQQAABBBBAAIHCECBAKox69vxb6tgiDYx06uxspuVmXNHY\n2ebHtBZ9vy76SdXMVNwndwh3oTu2JeOKonXYQwABBBBAAAEECkOAAKkw6tmzb7lvf3hWuGzO\nTKfjit4zrUS6iOusZdEUOq6oe6vwIq4ntRPRIImEAAIIIIAAAgggULgCBEiFW/d5fXOdsnuD\nma5bp8zOxkKvOq5o6rfhcUWTzWfsuKK2TcLd587oJKLTdJMQQAABBBBAAAEEEFABAiR+D3Iu\noK1FGhhp61Gmk44r0skWdFzRppj1knTh1n5mBjqdha4V44oyTc/9EEAAAQQQQACBQAgQIAWi\nGv3xEjq+SNcyim3NKWvpfzDjisaZ7nMaGOm2O1V3jSs6hnFFbhq2EUAAAQQQQAABBOIIECDF\nQeFQZgW2F03ZvWtP5u6rrUPaSqSTLXxlWo3cSRdtPc6sV9S/i1mvyIwrqsq4IjcP2wh4SkD/\nvupYQP0hIYAAAggg4AUBAiQv1EJAy6BrGOnMdLqmUSaSTgE+pWhckX7qzHfu1K5puPvc6Z3N\nuKKa7jNsI4BANgTKFQU2GtxUcAU6FSqEAx497z4em0+DIxICCCCAAAJeEyBA8lqNBKA8OkGC\nBkZbMzRl96zvw93ndCY6nZHOnQ6sG16vqL8ZV3RYY/cZthFAIJmADVaKAhndjvoxgUvc4Kco\nCHKCnmT35xwCCCCAAAJ+FSBA8mvNebDcurirjjPKRGCkaxSNNeOK9EfXLnKnGlVETilar+jo\nluEvcu7zbCMQVAGnRcbEM7Zlxtl3BzcSp9XGni8KbnRbryMhgAACCCCAQHwBAqT4LhxNUUC7\nvWmrjgZGZZ2VTme3s+sVmXFFOhudO2lXnONbmy50pvtcb8YVuWnY9riAe4yNE5w4LTBOYFPO\nFbw4x+Jd5/FXpXgIIIAAAggEQoAAKRDVmNuX2G/WMHKCorJOvLDbjFPSdYq0pSjeuKLDm5nJ\nFkz3udPNekUNGFeU24ou4KfZIKWEoMV2QUshTwEz8uoIIIAAAgj4UoAAyZfVlp9CZ7IL3cxl\nReOK5prWp5hxRU2ccUVmFrpDG+XnXXmq/wRSDmpM97LY1hnd11Yd7XlG9zP/1T0lRgABBBBA\nIJMCBEiZ1AzgvbSFSLvPZaIL3bK14ZYiXa/ox43RWDWr/jyuqGsLvqRG6wR7TwMbZ9azSPcy\nDWKKAhnbUqN53K017m1zjqAm2L8jvB0CCCCAAAK5FCBAyqW2T56lY4mcoKisXeg2mIVh351j\nWotMF7qvl0cD6Jfi41uFp+bWcUVVKkWfZ8/bAnEDl6KgxrbG6HbRT6LghsDG23VM6RBAAAEE\nEChEAQKkQqz1BO+sXeh0bJF+liXpuKJJC8Jd6KYuMpM3xKxX1KG5GVdkJlvQ9Yrq1yjLk7g2\nXYFEwY0NZLSrmQlsooIad6BT1HqT7rO5DgEEEEAAAQQQ8LIAAZKXaycHZXO60GlgpJMvpJtC\n5tovl5kudKb73AQdVxSzBpKOK9LJFvSnJeOK0mWOXOeMoXEHMe5t57ztvqYBTVFQ4+SJ3IgN\nBBBAAAEEEEAAgSgBAqQojuDvaPc5nZp7Z9HYIt0uS1pqxhXpmCKdhW5lzLiiWmZc0almvaL+\nXUSOOoRxIm7n2IDFCVyccTexXdNiz7vvxTYCCCCAAAIIIIBA5gQIkDJn6ak7OYHQbtO9Tbu8\n6ae2FpWllch5wfWucUVzlztHw586rqhnKzOuyARFvdqKVA7ouCJ3FzQneHE+3UGOc8z5dM5F\nq7GHAAJeFvjwww+latWqcvzxx8ct5vLly2XmzJlSo0YN6datm/2Mm5GDCCCAAAK+ECBA8kU1\nJS6kBjwa+GgAtMe0Bu0yP9oqVNZFW2OfqM9wxhV9vKj4uKKOzcOTLfQ16xX5ZVyRE+Ro8FLB\nPcZGt02gp8GME9jEfsb6sI8AAsEUGDdunPTv31/69u0r7777brGXvPPOO+Wee+6RvXvNf3hN\nqmD+lUj3b7rppmJ5OYAAAggg4A8BAiR/1JPs165xRa1Ae7RVqGg704GQm0PHFX2xNNx9TscV\nbY0ZV9S0brj73JlmXNEhDd1X5m/bBjsa8JifikWf2p3NvW/zaBBkjpMQQACBRAJr1qyRyy67\nLNFpmTBhggwbNkwGDBggt99+u+zZs0fuuOMOufnmm6VatWoydOjQhNdyAgEEEEDAuwIESN6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Fx57Ihg0bZOfOnTJy5EjBwPb77rsvWfrN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\nSIAEYkvg/wEX3k9ycmGNxwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(eff[\"income:type\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 对系数及其置信区间可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: ggplot2\n"
     ]
    },
    {
     "data": {
      "image/png": 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JZaIxCXgA7vT5gwQU477TQZOnRotTKLFi2Sjh07Su/evc2+7Oxscf54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\nBBBAAIF0FPh/4EsgFat646IAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(coefplot)\n",
    "\n",
    "coefplot(mod3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9KXTvU6dio36mAZbsD8ioI1VQ6rcVV9cqpvbaiyMQsC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AABBBBAAAEEEECgDgIESHXA41AEEEAAAQQQQAABBBBwlwABkrvak9og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\nCCCAAAIIIIAAAggg4D6B/wcqrQYEeMrL7wAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "multiplot(mod, mod3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 汇报回归结果\n",
    "\n",
    "* 使用car模块中的compareCoefs函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calls:\n",
      "1: lm(formula = prestige ~ income + education + type, data = Prestige)\n",
      "2: lm(formula = prestige ~ education + income * type, data = Prestige)\n",
      "\n",
      "                 Model 1   Model 2\n",
      "(Intercept)       -0.623    -6.727\n",
      "SE                 5.228     4.952\n",
      "                                  \n",
      "income          0.001013  0.003134\n",
      "SE              0.000221  0.000522\n",
      "                                  \n",
      "education          3.673     3.040\n",
      "SE                 0.641     0.600\n",
      "                                  \n",
      "typeprof            6.04     25.17\n",
      "SE                  3.87      5.47\n",
      "                                  \n",
      "typewc             -2.74      7.14\n",
      "SE                  2.51      5.29\n",
      "                                  \n",
      "income:typeprof          -0.002510\n",
      "SE                        0.000553\n",
      "                                  \n",
      "income:typewc            -0.001486\n",
      "SE                        0.000872\n",
      "                                  \n"
     ]
    }
   ],
   "source": [
    "compareCoefs(mod, mod3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 使用memisc模块的mtable命令"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: lattice\n",
      "Loading required package: MASS\n",
      "\n",
      "Attaching package: ‘memisc’\n",
      "\n",
      "The following object is masked from ‘package:ggplot2’:\n",
      "\n",
      "    syms\n",
      "\n",
      "The following object is masked from ‘package:car’:\n",
      "\n",
      "    recode\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    contr.sum, contr.treatment, contrasts\n",
      "\n",
      "The following object is masked from ‘package:base’:\n",
      "\n",
      "    as.array\n",
      "\n",
      "Warning message in checkLaTeXcape(leaders, \"row leaders\"):\n",
      "“Unescaped TeX special in row leaders”"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table class=\"mtable\" style=\"border-collapse: collapse; border-style: none; margin: 2ex auto;\">\n",
       "<tr style=\"border-style: none;\"><td colspan=\"1\" style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; border-top: 1px solid;\"></td><td colspan=\"3\" style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; border-top: 1px solid;\">mod</td><td colspan=\"3\" style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; border-top: 1px solid;\">mod3</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; border-top: 1px solid;\">(Intercept)</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em; border-top: 1px solid;\">−0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px; border-top: 1px solid;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em; border-top: 1px solid;\">623</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em; border-top: 1px solid;\">−6</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px; border-top: 1px solid;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em; border-top: 1px solid;\">727</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(5</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">228)</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(4</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">952)</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\">income</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">001<span class=\"signif.symbol\">***</span></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">003<span class=\"signif.symbol\">***</span></td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">000)</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">001)</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\">education</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">3</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">673<span class=\"signif.symbol\">***</span></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">3</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">040<span class=\"signif.symbol\">***</span></td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">641)</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">600)</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\">type: prof/bc</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">6</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">039</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">25</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">172<span class=\"signif.symbol\">***</span></td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(3</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">867)</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(5</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">467)</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\">type: wc/bc</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">−2</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">737</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">7</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">138</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(2</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">514)</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(5</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">290)</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\">income x type: prof/bc</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">−0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">003<span class=\"signif.symbol\">***</span></td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">001)</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\">income x type: wc/bc</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">−0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">001</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em;\">(0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em;\">001)</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; border-top: 1px solid;\">R-squared</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em; border-top: 1px solid;\">0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px; border-top: 1px solid;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em; border-top: 1px solid;\">835</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em; border-top: 1px solid;\">0</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px; border-top: 1px solid;\">.</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em; border-top: 1px solid;\">866</td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.3em; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; border-bottom: 1px solid;\">N</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em; border-bottom: 1px solid;\">98</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px; border-bottom: 1px solid;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em; border-bottom: 1px solid;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: right; margin-right: 0px; padding-right: 0px; padding-left: 0.3em; border-bottom: 1px solid;\">98</td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: center; margin-left: 0px; margin-right: 0px; padding-right: 0px; padding-left: 0px; width: 1px; border-bottom: 1px solid;\"></td><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px; text-align: left; margin-left: 0px; padding-left: 0px; padding-right: 0.3em; border-bottom: 1px solid;\"></td></tr>\n",
       "<tr style=\"border-style: none;\"><td style=\"padding-top: 1px; padding-bottom: 1px; padding-left: 0.5ex; padding-right: 0.5ex; margin-top: 0px; margin-bottom: 0px; border-style: none; border-width: 0px;\" colspan=\"4 4\"><p style=\"width: inherit;\">Significance: *** = p < 0.001; ** = p < 0.01; * = p < 0.05</p>\n",
       "</td></tr>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{lclcl}\n",
       "\\toprule\n",
       " && \n",
       "\\multicolumn{1}{c}{mod} && \n",
       "\\multicolumn{1}{c}{mod3}\\\\\n",
       "\\midrule\n",
       "(Intercept)                    && $-0.623      $ && $-6.727      $\\\\\n",
       "                               && $(5.228)     $ && $(4.952)     $\\\\\n",
       "income                         && $ 0.001^{***}$ && $ 0.003^{***}$\\\\\n",
       "                               && $(0.000)     $ && $(0.001)     $\\\\\n",
       "education                      && $ 3.673^{***}$ && $ 3.040^{***}$\\\\\n",
       "                               && $(0.641)     $ && $(0.600)     $\\\\\n",
       "type: prof/bc                  && $ 6.039      $ && $25.172^{***}$\\\\\n",
       "                               && $(3.867)     $ && $(5.467)     $\\\\\n",
       "type: wc/bc                    && $-2.737      $ && $ 7.138      $\\\\\n",
       "                               && $(2.514)     $ && $(5.290)     $\\\\\n",
       "income $\\times$ type: prof/bc && $            $ && $-0.003^{***}$\\\\\n",
       "                               && $            $ && $(0.001)     $\\\\\n",
       "income $\\times$ type: wc/bc   && $            $ && $-0.001      $\\\\\n",
       "                               && $            $ && $(0.001)     $\\\\\n",
       "\\midrule\n",
       "R-squared                      &&      $ 0.835$ &&      $ 0.866$\\\\\n",
       "N                              && $98    $      && $98    $     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "Significance: \n",
       "              $*** \\equiv p < 0.001$; \n",
       "              $** \\equiv p < 0.01$; \n",
       "              $* \\equiv p < 0.05$"
      ],
      "text/plain": [
       "\n",
       "Calls:\n",
       "mod: lm(formula = prestige ~ income + education + type, data = Prestige)\n",
       "mod3: lm(formula = prestige ~ education + income * type, data = Prestige)\n",
       "\n",
       "================================================\n",
       "                             mod       mod3     \n",
       "------------------------------------------------\n",
       "  (Intercept)             -0.623     -6.727     \n",
       "                          (5.228)    (4.952)    \n",
       "  income                   0.001***   0.003***  \n",
       "                          (0.000)    (0.001)    \n",
       "  education                3.673***   3.040***  \n",
       "                          (0.641)    (0.600)    \n",
       "  type: prof/bc            6.039     25.172***  \n",
       "                          (3.867)    (5.467)    \n",
       "  type: wc/bc             -2.737      7.138     \n",
       "                          (2.514)    (5.290)    \n",
       "  income x type: prof/bc             -0.003***  \n",
       "                                     (0.001)    \n",
       "  income x type: wc/bc               -0.001     \n",
       "                                     (0.001)    \n",
       "------------------------------------------------\n",
       "  R-squared                0.835      0.866     \n",
       "  N                       98         98         \n",
       "================================================\n",
       "  Significance: *** = p < 0.001;   \n",
       "                ** = p < 0.01; * = p < 0.05  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(memisc)\n",
    "\n",
    "mtable(mod, mod3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 使用apaTables模块的apa.reg.table命令 （APA格式）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\n",
       "Regression results using prestige as the criterion\n",
       " \n",
       "\n",
       "       Predictor       b       b_95%_CI sr2  sr2_95%_CI             Fit\n",
       "     (Intercept)   -0.62 [-11.00, 9.76]                                \n",
       "          income  0.00**   [0.00, 0.00] .04  [.00, .07]                \n",
       "       education  3.67**   [2.40, 4.95] .06  [.02, .10]                \n",
       "        typeprof    6.04 [-1.64, 13.72] .00 [-.01, .02]                \n",
       "          typewc   -2.74  [-7.73, 2.25] .00 [-.01, .01]                \n",
       "                                                            R2 = .835**\n",
       "                                                        95% CI[.77,.87]\n",
       "                                                                       \n",
       "     (Intercept)   -6.73 [-16.56, 3.11]                                \n",
       "       education  3.04**   [1.85, 4.23] .04  [.01, .07]                \n",
       "          income  0.00**   [0.00, 0.00] .05  [.02, .09]                \n",
       "        typeprof 25.17** [14.31, 36.03] .03  [.00, .06]                \n",
       "          typewc    7.14 [-3.37, 17.65] .00 [-.00, .01]                \n",
       " income:typeprof -0.00** [-0.00, -0.00] .03  [.00, .06]                \n",
       "   income:typewc   -0.00  [-0.00, 0.00] .00 [-.01, .01]                \n",
       "                                                            R2 = .866**\n",
       "                                                        95% CI[.80,.89]\n",
       "                                                                       \n",
       "        Difference\n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       "                  \n",
       " Delta R2 = .031**\n",
       "  95% CI[.00, .06]\n",
       "                  \n",
       "\n",
       "Note. A significant b-weight indicates the semi-partial correlation is also significant.\n",
       "b represents unstandardized regression weights. \n",
       "sr2 represents the semi-partial correlation squared.\n",
       "Square brackets are used to enclose the lower and upper limits of a confidence interval.\n",
       "* indicates p < .05. ** indicates p < .01.\n",
       " \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(apaTables)\n",
    "\n",
    "apa.reg.table(mod, mod3, filename=\"apaTable.doc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过如下命令可以直接打开doc文档"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "browseURL(\"apaTable.doc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>gov.administrators</dt>\n",
       "\t\t<dd>66.0054846606589</dd>\n",
       "\t<dt>general.managers</dt>\n",
       "\t\t<dd>71.8664142635158</dd>\n",
       "\t<dt>accountants</dt>\n",
       "\t\t<dd>63.0493395919857</dd>\n",
       "\t<dt>purchasing.officers</dt>\n",
       "\t\t<dd>58.6923098564168</dd>\n",
       "\t<dt>chemists</dt>\n",
       "\t\t<dd>68.1309400796227</dd>\n",
       "\t<dt>physicists</dt>\n",
       "\t\t<dd>72.8712993570794</dd>\n",
       "\t<dt>biologists</dt>\n",
       "\t\t<dd>69.469082949695</dd>\n",
       "\t<dt>architects</dt>\n",
       "\t\t<dd>74.2190930721287</dd>\n",
       "\t<dt>civil.engineers</dt>\n",
       "\t\t<dd>69.6834498011201</dd>\n",
       "\t<dt>mining.engineers</dt>\n",
       "\t\t<dd>69.8272336131916</dd>\n",
       "\t<dt>surveyors</dt>\n",
       "\t\t<dd>59.7912023332826</dd>\n",
       "\t<dt>draughtsmen</dt>\n",
       "\t\t<dd>60.2398713077863</dd>\n",
       "\t<dt>computer.programers</dt>\n",
       "\t\t<dd>65.7433133726051</dd>\n",
       "\t<dt>economists</dt>\n",
       "\t\t<dd>67.3628150651632</dd>\n",
       "\t<dt>psychologists</dt>\n",
       "\t\t<dd>66.7176310765618</dd>\n",
       "\t<dt>social.workers</dt>\n",
       "\t\t<dd>65.5943678522221</dd>\n",
       "\t<dt>lawyers</dt>\n",
       "\t\t<dd>78.4057988958856</dd>\n",
       "\t<dt>librarians</dt>\n",
       "\t\t<dd>65.272157112472</dd>\n",
       "\t<dt>vocational.counsellors</dt>\n",
       "\t\t<dd>70.6975991594182</dd>\n",
       "\t<dt>ministers</dt>\n",
       "\t\t<dd>65.4458895043304</dd>\n",
       "\t<dt>university.teachers</dt>\n",
       "\t\t<dd>74.779541981191</dd>\n",
       "\t<dt>primary.school.teachers</dt>\n",
       "\t\t<dd>63.3714724528239</dd>\n",
       "\t<dt>secondary.school.teachers</dt>\n",
       "\t\t<dd>69.2988570143667</dd>\n",
       "\t<dt>physicians</dt>\n",
       "\t\t<dd>82.7568507531969</dd>\n",
       "\t<dt>veterinarians</dt>\n",
       "\t\t<dd>75.985514531103</dd>\n",
       "\t<dt>osteopaths.chiropractors</dt>\n",
       "\t\t<dd>74.0819436319036</dd>\n",
       "\t<dt>nurses</dt>\n",
       "\t\t<dd>59.1999644564203</dd>\n",
       "\t<dt>nursing.aides</dt>\n",
       "\t\t<dd>32.9212851980894</dd>\n",
       "\t<dt>physio.therapsts</dt>\n",
       "\t\t<dd>63.0243969626861</dd>\n",
       "\t<dt>pharmacists</dt>\n",
       "\t\t<dd>71.1909366162057</dd>\n",
       "\t<dt>medical.technicians</dt>\n",
       "\t\t<dd>47.8290049599801</dd>\n",
       "\t<dt>commercial.artists</dt>\n",
       "\t\t<dd>56.0237471837661</dd>\n",
       "\t<dt>radio.tv.announcers</dt>\n",
       "\t\t<dd>51.5133913620659</dd>\n",
       "\t<dt>secretaries</dt>\n",
       "\t\t<dd>42.295084586686</dd>\n",
       "\t<dt>typists</dt>\n",
       "\t\t<dd>40.5269356599688</dd>\n",
       "\t<dt>bookkeepers</dt>\n",
       "\t\t<dd>41.9888080247637</dd>\n",
       "\t<dt>tellers.cashiers</dt>\n",
       "\t\t<dd>36.7889985765643</dd>\n",
       "\t<dt>computer.operators</dt>\n",
       "\t\t<dd>42.0807165578037</dd>\n",
       "\t<dt>shipping.clerks</dt>\n",
       "\t\t<dd>36.1344367254832</dd>\n",
       "\t<dt>file.clerks</dt>\n",
       "\t\t<dd>42.1331050360495</dd>\n",
       "\t<dt>receptionsts</dt>\n",
       "\t\t<dd>38.7518063261243</dd>\n",
       "\t<dt>mail.carriers</dt>\n",
       "\t\t<dd>37.5230594672982</dd>\n",
       "\t<dt>postal.clerks</dt>\n",
       "\t\t<dd>37.1850379090549</dd>\n",
       "\t<dt>telephone.operators</dt>\n",
       "\t\t<dd>37.5694685508826</dd>\n",
       "\t<dt>collectors</dt>\n",
       "\t\t<dd>42.2720427733454</dd>\n",
       "\t<dt>claim.adjustors</dt>\n",
       "\t\t<dd>42.5720565785272</dd>\n",
       "\t<dt>travel.clerks</dt>\n",
       "\t\t<dd>45.4741280589695</dd>\n",
       "\t<dt>office.clerks</dt>\n",
       "\t\t<dd>40.5659690672529</dd>\n",
       "\t<dt>sales.supervisors</dt>\n",
       "\t\t<dd>42.6575555415981</dd>\n",
       "\t<dt>commercial.travellers</dt>\n",
       "\t\t<dd>48.7189715526628</dd>\n",
       "\t<dt>sales.clerks</dt>\n",
       "\t\t<dd>35.2363100695326</dd>\n",
       "\t<dt>service.station.attendant</dt>\n",
       "\t\t<dd>30.8854716534536</dd>\n",
       "\t<dt>insurance.agents</dt>\n",
       "\t\t<dd>49.077524685737</dd>\n",
       "\t<dt>real.estate.salesmen</dt>\n",
       "\t\t<dd>45.64923886638</dd>\n",
       "\t<dt>buyers</dt>\n",
       "\t\t<dd>47.0563490632699</dd>\n",
       "\t<dt>firefighters</dt>\n",
       "\t\t<dd>49.9392397287654</dd>\n",
       "\t<dt>policemen</dt>\n",
       "\t\t<dd>54.3646583760275</dd>\n",
       "\t<dt>cooks</dt>\n",
       "\t\t<dd>26.5668074257381</dd>\n",
       "\t<dt>bartenders</dt>\n",
       "\t\t<dd>31.4283865704452</dd>\n",
       "\t<dt>funeral.directors</dt>\n",
       "\t\t<dd>50.0670002902342</dd>\n",
       "\t<dt>launderers</dt>\n",
       "\t\t<dd>24.9569404156837</dd>\n",
       "\t<dt>janitors</dt>\n",
       "\t\t<dd>25.7676490151194</dd>\n",
       "\t<dt>elevator.operators</dt>\n",
       "\t\t<dd>27.5410913276974</dd>\n",
       "\t<dt>farm.workers</dt>\n",
       "\t\t<dd>24.6047067847131</dd>\n",
       "\t<dt>rotary.well.drillers</dt>\n",
       "\t\t<dd>41.7672937428492</dd>\n",
       "\t<dt>bakers</dt>\n",
       "\t\t<dd>29.353434740296</dd>\n",
       "\t<dt>slaughterers.1</dt>\n",
       "\t\t<dd>32.5880781327493</dd>\n",
       "\t<dt>slaughterers.2</dt>\n",
       "\t\t<dd>32.5880781327493</dd>\n",
       "\t<dt>canners</dt>\n",
       "\t\t<dd>21.7513174488764</dd>\n",
       "\t<dt>textile.weavers</dt>\n",
       "\t\t<dd>27.5344892182809</dd>\n",
       "\t<dt>textile.labourers</dt>\n",
       "\t\t<dd>24.6837087984267</dd>\n",
       "\t<dt>tool.die.makers</dt>\n",
       "\t\t<dd>49.1533335884779</dd>\n",
       "\t<dt>machinists</dt>\n",
       "\t\t<dd>41.0091275959656</dd>\n",
       "\t<dt>sheet.metal.workers</dt>\n",
       "\t\t<dd>39.3835885335924</dd>\n",
       "\t<dt>welders</dt>\n",
       "\t\t<dd>37.6487062903326</dd>\n",
       "\t<dt>auto.workers</dt>\n",
       "\t\t<dd>37.1114339265753</dd>\n",
       "\t<dt>aircraft.workers</dt>\n",
       "\t\t<dd>40.5637483309083</dd>\n",
       "\t<dt>electronic.workers</dt>\n",
       "\t\t<dd>32.2563204790037</dd>\n",
       "\t<dt>radio.tv.repairmen</dt>\n",
       "\t\t<dd>41.6306120631882</dd>\n",
       "\t<dt>sewing.mach.operators</dt>\n",
       "\t\t<dd>21.5896643307148</dd>\n",
       "\t<dt>auto.repairmen</dt>\n",
       "\t\t<dd>36.0581836499712</dd>\n",
       "\t<dt>aircraft.repairmen</dt>\n",
       "\t\t<dd>48.1587783277148</dd>\n",
       "\t<dt>railway.sectionmen</dt>\n",
       "\t\t<dd>28.2667011438418</dd>\n",
       "\t<dt>electrical.linemen</dt>\n",
       "\t\t<dd>46.8477437131087</dd>\n",
       "\t<dt>electricians</dt>\n",
       "\t\t<dd>45.8585504388048</dd>\n",
       "\t<dt>construction.foremen</dt>\n",
       "\t\t<dd>46.1533973830323</dd>\n",
       "\t<dt>carpenters</dt>\n",
       "\t\t<dd>30.9166746755944</dd>\n",
       "\t<dt>masons</dt>\n",
       "\t\t<dd>32.0126828333722</dd>\n",
       "\t<dt>house.painters</dt>\n",
       "\t\t<dd>31.2711963464876</dd>\n",
       "\t<dt>plumbers</dt>\n",
       "\t\t<dd>40.3086008057444</dd>\n",
       "\t<dt>construction.labourers</dt>\n",
       "\t\t<dd>28.3867961945024</dd>\n",
       "\t<dt>pilots</dt>\n",
       "\t\t<dd>64.5014814911952</dd>\n",
       "\t<dt>train.engineers</dt>\n",
       "\t\t<dd>46.80361703891</dd>\n",
       "\t<dt>bus.drivers</dt>\n",
       "\t\t<dd>33.7472240459296</dd>\n",
       "\t<dt>taxi.drivers</dt>\n",
       "\t\t<dd>30.61727647638</dd>\n",
       "\t<dt>longshoremen</dt>\n",
       "\t\t<dd>33.6128458906177</dd>\n",
       "\t<dt>typesetters</dt>\n",
       "\t\t<dd>43.9242579973241</dd>\n",
       "\t<dt>bookbinders</dt>\n",
       "\t\t<dd>30.5993008997121</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[gov.administrators] 66.0054846606589\n",
       "\\item[general.managers] 71.8664142635158\n",
       "\\item[accountants] 63.0493395919857\n",
       "\\item[purchasing.officers] 58.6923098564168\n",
       "\\item[chemists] 68.1309400796227\n",
       "\\item[physicists] 72.8712993570794\n",
       "\\item[biologists] 69.469082949695\n",
       "\\item[architects] 74.2190930721287\n",
       "\\item[civil.engineers] 69.6834498011201\n",
       "\\item[mining.engineers] 69.8272336131916\n",
       "\\item[surveyors] 59.7912023332826\n",
       "\\item[draughtsmen] 60.2398713077863\n",
       "\\item[computer.programers] 65.7433133726051\n",
       "\\item[economists] 67.3628150651632\n",
       "\\item[psychologists] 66.7176310765618\n",
       "\\item[social.workers] 65.5943678522221\n",
       "\\item[lawyers] 78.4057988958856\n",
       "\\item[librarians] 65.272157112472\n",
       "\\item[vocational.counsellors] 70.6975991594182\n",
       "\\item[ministers] 65.4458895043304\n",
       "\\item[university.teachers] 74.779541981191\n",
       "\\item[primary.school.teachers] 63.3714724528239\n",
       "\\item[secondary.school.teachers] 69.2988570143667\n",
       "\\item[physicians] 82.7568507531969\n",
       "\\item[veterinarians] 75.985514531103\n",
       "\\item[osteopaths.chiropractors] 74.0819436319036\n",
       "\\item[nurses] 59.1999644564203\n",
       "\\item[nursing.aides] 32.9212851980894\n",
       "\\item[physio.therapsts] 63.0243969626861\n",
       "\\item[pharmacists] 71.1909366162057\n",
       "\\item[medical.technicians] 47.8290049599801\n",
       "\\item[commercial.artists] 56.0237471837661\n",
       "\\item[radio.tv.announcers] 51.5133913620659\n",
       "\\item[secretaries] 42.295084586686\n",
       "\\item[typists] 40.5269356599688\n",
       "\\item[bookkeepers] 41.9888080247637\n",
       "\\item[tellers.cashiers] 36.7889985765643\n",
       "\\item[computer.operators] 42.0807165578037\n",
       "\\item[shipping.clerks] 36.1344367254832\n",
       "\\item[file.clerks] 42.1331050360495\n",
       "\\item[receptionsts] 38.7518063261243\n",
       "\\item[mail.carriers] 37.5230594672982\n",
       "\\item[postal.clerks] 37.1850379090549\n",
       "\\item[telephone.operators] 37.5694685508826\n",
       "\\item[collectors] 42.2720427733454\n",
       "\\item[claim.adjustors] 42.5720565785272\n",
       "\\item[travel.clerks] 45.4741280589695\n",
       "\\item[office.clerks] 40.5659690672529\n",
       "\\item[sales.supervisors] 42.6575555415981\n",
       "\\item[commercial.travellers] 48.7189715526628\n",
       "\\item[sales.clerks] 35.2363100695326\n",
       "\\item[service.station.attendant] 30.8854716534536\n",
       "\\item[insurance.agents] 49.077524685737\n",
       "\\item[real.estate.salesmen] 45.64923886638\n",
       "\\item[buyers] 47.0563490632699\n",
       "\\item[firefighters] 49.9392397287654\n",
       "\\item[policemen] 54.3646583760275\n",
       "\\item[cooks] 26.5668074257381\n",
       "\\item[bartenders] 31.4283865704452\n",
       "\\item[funeral.directors] 50.0670002902342\n",
       "\\item[launderers] 24.9569404156837\n",
       "\\item[janitors] 25.7676490151194\n",
       "\\item[elevator.operators] 27.5410913276974\n",
       "\\item[farm.workers] 24.6047067847131\n",
       "\\item[rotary.well.drillers] 41.7672937428492\n",
       "\\item[bakers] 29.353434740296\n",
       "\\item[slaughterers.1] 32.5880781327493\n",
       "\\item[slaughterers.2] 32.5880781327493\n",
       "\\item[canners] 21.7513174488764\n",
       "\\item[textile.weavers] 27.5344892182809\n",
       "\\item[textile.labourers] 24.6837087984267\n",
       "\\item[tool.die.makers] 49.1533335884779\n",
       "\\item[machinists] 41.0091275959656\n",
       "\\item[sheet.metal.workers] 39.3835885335924\n",
       "\\item[welders] 37.6487062903326\n",
       "\\item[auto.workers] 37.1114339265753\n",
       "\\item[aircraft.workers] 40.5637483309083\n",
       "\\item[electronic.workers] 32.2563204790037\n",
       "\\item[radio.tv.repairmen] 41.6306120631882\n",
       "\\item[sewing.mach.operators] 21.5896643307148\n",
       "\\item[auto.repairmen] 36.0581836499712\n",
       "\\item[aircraft.repairmen] 48.1587783277148\n",
       "\\item[railway.sectionmen] 28.2667011438418\n",
       "\\item[electrical.linemen] 46.8477437131087\n",
       "\\item[electricians] 45.8585504388048\n",
       "\\item[construction.foremen] 46.1533973830323\n",
       "\\item[carpenters] 30.9166746755944\n",
       "\\item[masons] 32.0126828333722\n",
       "\\item[house.painters] 31.2711963464876\n",
       "\\item[plumbers] 40.3086008057444\n",
       "\\item[construction.labourers] 28.3867961945024\n",
       "\\item[pilots] 64.5014814911952\n",
       "\\item[train.engineers] 46.80361703891\n",
       "\\item[bus.drivers] 33.7472240459296\n",
       "\\item[taxi.drivers] 30.61727647638\n",
       "\\item[longshoremen] 33.6128458906177\n",
       "\\item[typesetters] 43.9242579973241\n",
       "\\item[bookbinders] 30.5993008997121\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "gov.administrators\n",
       ":   66.0054846606589general.managers\n",
       ":   71.8664142635158accountants\n",
       ":   63.0493395919857purchasing.officers\n",
       ":   58.6923098564168chemists\n",
       ":   68.1309400796227physicists\n",
       ":   72.8712993570794biologists\n",
       ":   69.469082949695architects\n",
       ":   74.2190930721287civil.engineers\n",
       ":   69.6834498011201mining.engineers\n",
       ":   69.8272336131916surveyors\n",
       ":   59.7912023332826draughtsmen\n",
       ":   60.2398713077863computer.programers\n",
       ":   65.7433133726051economists\n",
       ":   67.3628150651632psychologists\n",
       ":   66.7176310765618social.workers\n",
       ":   65.5943678522221lawyers\n",
       ":   78.4057988958856librarians\n",
       ":   65.272157112472vocational.counsellors\n",
       ":   70.6975991594182ministers\n",
       ":   65.4458895043304university.teachers\n",
       ":   74.779541981191primary.school.teachers\n",
       ":   63.3714724528239secondary.school.teachers\n",
       ":   69.2988570143667physicians\n",
       ":   82.7568507531969veterinarians\n",
       ":   75.985514531103osteopaths.chiropractors\n",
       ":   74.0819436319036nurses\n",
       ":   59.1999644564203nursing.aides\n",
       ":   32.9212851980894physio.therapsts\n",
       ":   63.0243969626861pharmacists\n",
       ":   71.1909366162057medical.technicians\n",
       ":   47.8290049599801commercial.artists\n",
       ":   56.0237471837661radio.tv.announcers\n",
       ":   51.5133913620659secretaries\n",
       ":   42.295084586686typists\n",
       ":   40.5269356599688bookkeepers\n",
       ":   41.9888080247637tellers.cashiers\n",
       ":   36.7889985765643computer.operators\n",
       ":   42.0807165578037shipping.clerks\n",
       ":   36.1344367254832file.clerks\n",
       ":   42.1331050360495receptionsts\n",
       ":   38.7518063261243mail.carriers\n",
       ":   37.5230594672982postal.clerks\n",
       ":   37.1850379090549telephone.operators\n",
       ":   37.5694685508826collectors\n",
       ":   42.2720427733454claim.adjustors\n",
       ":   42.5720565785272travel.clerks\n",
       ":   45.4741280589695office.clerks\n",
       ":   40.5659690672529sales.supervisors\n",
       ":   42.6575555415981commercial.travellers\n",
       ":   48.7189715526628sales.clerks\n",
       ":   35.2363100695326service.station.attendant\n",
       ":   30.8854716534536insurance.agents\n",
       ":   49.077524685737real.estate.salesmen\n",
       ":   45.64923886638buyers\n",
       ":   47.0563490632699firefighters\n",
       ":   49.9392397287654policemen\n",
       ":   54.3646583760275cooks\n",
       ":   26.5668074257381bartenders\n",
       ":   31.4283865704452funeral.directors\n",
       ":   50.0670002902342launderers\n",
       ":   24.9569404156837janitors\n",
       ":   25.7676490151194elevator.operators\n",
       ":   27.5410913276974farm.workers\n",
       ":   24.6047067847131rotary.well.drillers\n",
       ":   41.7672937428492bakers\n",
       ":   29.353434740296slaughterers.1\n",
       ":   32.5880781327493slaughterers.2\n",
       ":   32.5880781327493canners\n",
       ":   21.7513174488764textile.weavers\n",
       ":   27.5344892182809textile.labourers\n",
       ":   24.6837087984267tool.die.makers\n",
       ":   49.1533335884779machinists\n",
       ":   41.0091275959656sheet.metal.workers\n",
       ":   39.3835885335924welders\n",
       ":   37.6487062903326auto.workers\n",
       ":   37.1114339265753aircraft.workers\n",
       ":   40.5637483309083electronic.workers\n",
       ":   32.2563204790037radio.tv.repairmen\n",
       ":   41.6306120631882sewing.mach.operators\n",
       ":   21.5896643307148auto.repairmen\n",
       ":   36.0581836499712aircraft.repairmen\n",
       ":   48.1587783277148railway.sectionmen\n",
       ":   28.2667011438418electrical.linemen\n",
       ":   46.8477437131087electricians\n",
       ":   45.8585504388048construction.foremen\n",
       ":   46.1533973830323carpenters\n",
       ":   30.9166746755944masons\n",
       ":   32.0126828333722house.painters\n",
       ":   31.2711963464876plumbers\n",
       ":   40.3086008057444construction.labourers\n",
       ":   28.3867961945024pilots\n",
       ":   64.5014814911952train.engineers\n",
       ":   46.80361703891bus.drivers\n",
       ":   33.7472240459296taxi.drivers\n",
       ":   30.61727647638longshoremen\n",
       ":   33.6128458906177typesetters\n",
       ":   43.9242579973241bookbinders\n",
       ":   30.5993008997121\n",
       "\n"
      ],
      "text/plain": [
       "       gov.administrators          general.managers               accountants \n",
       "                 66.00548                  71.86641                  63.04934 \n",
       "      purchasing.officers                  chemists                physicists \n",
       "                 58.69231                  68.13094                  72.87130 \n",
       "               biologists                architects           civil.engineers \n",
       "                 69.46908                  74.21909                  69.68345 \n",
       "         mining.engineers                 surveyors               draughtsmen \n",
       "                 69.82723                  59.79120                  60.23987 \n",
       "      computer.programers                economists             psychologists \n",
       "                 65.74331                  67.36282                  66.71763 \n",
       "           social.workers                   lawyers                librarians \n",
       "                 65.59437                  78.40580                  65.27216 \n",
       "   vocational.counsellors                 ministers       university.teachers \n",
       "                 70.69760                  65.44589                  74.77954 \n",
       "  primary.school.teachers secondary.school.teachers                physicians \n",
       "                 63.37147                  69.29886                  82.75685 \n",
       "            veterinarians  osteopaths.chiropractors                    nurses \n",
       "                 75.98551                  74.08194                  59.19996 \n",
       "            nursing.aides          physio.therapsts               pharmacists \n",
       "                 32.92129                  63.02440                  71.19094 \n",
       "      medical.technicians        commercial.artists       radio.tv.announcers \n",
       "                 47.82900                  56.02375                  51.51339 \n",
       "              secretaries                   typists               bookkeepers \n",
       "                 42.29508                  40.52694                  41.98881 \n",
       "         tellers.cashiers        computer.operators           shipping.clerks \n",
       "                 36.78900                  42.08072                  36.13444 \n",
       "              file.clerks              receptionsts             mail.carriers \n",
       "                 42.13311                  38.75181                  37.52306 \n",
       "            postal.clerks       telephone.operators                collectors \n",
       "                 37.18504                  37.56947                  42.27204 \n",
       "          claim.adjustors             travel.clerks             office.clerks \n",
       "                 42.57206                  45.47413                  40.56597 \n",
       "        sales.supervisors     commercial.travellers              sales.clerks \n",
       "                 42.65756                  48.71897                  35.23631 \n",
       "service.station.attendant          insurance.agents      real.estate.salesmen \n",
       "                 30.88547                  49.07752                  45.64924 \n",
       "                   buyers              firefighters                 policemen \n",
       "                 47.05635                  49.93924                  54.36466 \n",
       "                    cooks                bartenders         funeral.directors \n",
       "                 26.56681                  31.42839                  50.06700 \n",
       "               launderers                  janitors        elevator.operators \n",
       "                 24.95694                  25.76765                  27.54109 \n",
       "             farm.workers      rotary.well.drillers                    bakers \n",
       "                 24.60471                  41.76729                  29.35343 \n",
       "           slaughterers.1            slaughterers.2                   canners \n",
       "                 32.58808                  32.58808                  21.75132 \n",
       "          textile.weavers         textile.labourers           tool.die.makers \n",
       "                 27.53449                  24.68371                  49.15333 \n",
       "               machinists       sheet.metal.workers                   welders \n",
       "                 41.00913                  39.38359                  37.64871 \n",
       "             auto.workers          aircraft.workers        electronic.workers \n",
       "                 37.11143                  40.56375                  32.25632 \n",
       "       radio.tv.repairmen     sewing.mach.operators            auto.repairmen \n",
       "                 41.63061                  21.58966                  36.05818 \n",
       "       aircraft.repairmen        railway.sectionmen        electrical.linemen \n",
       "                 48.15878                  28.26670                  46.84774 \n",
       "             electricians      construction.foremen                carpenters \n",
       "                 45.85855                  46.15340                  30.91667 \n",
       "                   masons            house.painters                  plumbers \n",
       "                 32.01268                  31.27120                  40.30860 \n",
       "   construction.labourers                    pilots           train.engineers \n",
       "                 28.38680                  64.50148                  46.80362 \n",
       "              bus.drivers              taxi.drivers              longshoremen \n",
       "                 33.74722                  30.61728                  33.61285 \n",
       "              typesetters               bookbinders \n",
       "                 43.92426                  30.59930 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict(mod3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 98 × 3 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>fit</th><th scope=col>lwr</th><th scope=col>upr</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>gov.administrators</th><td>66.00548</td><td>63.24223</td><td>68.76874</td></tr>\n",
       "\t<tr><th scope=row>general.managers</th><td>71.86641</td><td>64.03647</td><td>79.69636</td></tr>\n",
       "\t<tr><th scope=row>accountants</th><td>63.04934</td><td>60.26891</td><td>65.82977</td></tr>\n",
       "\t<tr><th scope=row>purchasing.officers</th><td>58.69231</td><td>54.81666</td><td>62.56795</td></tr>\n",
       "\t<tr><th scope=row>chemists</th><td>68.13094</td><td>65.51341</td><td>70.74847</td></tr>\n",
       "\t<tr><th scope=row>physicists</th><td>72.87130</td><td>69.93245</td><td>75.81015</td></tr>\n",
       "\t<tr><th scope=row>biologists</th><td>69.46908</td><td>66.59734</td><td>72.34083</td></tr>\n",
       "\t<tr><th scope=row>architects</th><td>74.21909</td><td>71.14922</td><td>77.28897</td></tr>\n",
       "\t<tr><th scope=row>civil.engineers</th><td>69.68345</td><td>67.31094</td><td>72.05596</td></tr>\n",
       "\t<tr><th scope=row>mining.engineers</th><td>69.82723</td><td>67.43339</td><td>72.22108</td></tr>\n",
       "\t<tr><th scope=row>surveyors</th><td>59.79120</td><td>56.33312</td><td>63.24929</td></tr>\n",
       "\t<tr><th scope=row>draughtsmen</th><td>60.23987</td><td>56.93623</td><td>63.54351</td></tr>\n",
       "\t<tr><th scope=row>computer.programers</th><td>65.74331</td><td>63.26024</td><td>68.22639</td></tr>\n",
       "\t<tr><th scope=row>economists</th><td>67.36282</td><td>64.73808</td><td>69.98755</td></tr>\n",
       "\t<tr><th scope=row>psychologists</th><td>66.71763</td><td>63.97541</td><td>69.45985</td></tr>\n",
       "\t<tr><th scope=row>social.workers</th><td>65.59437</td><td>62.61226</td><td>68.57647</td></tr>\n",
       "\t<tr><th scope=row>lawyers</th><td>78.40580</td><td>73.82374</td><td>82.98786</td></tr>\n",
       "\t<tr><th scope=row>librarians</th><td>65.27216</td><td>62.23838</td><td>68.30593</td></tr>\n",
       "\t<tr><th scope=row>vocational.counsellors</th><td>70.69760</td><td>67.95069</td><td>73.44451</td></tr>\n",
       "\t<tr><th scope=row>ministers</th><td>65.44589</td><td>61.87644</td><td>69.01534</td></tr>\n",
       "\t<tr><th scope=row>university.teachers</th><td>74.77954</td><td>71.56603</td><td>77.99305</td></tr>\n",
       "\t<tr><th scope=row>primary.school.teachers</th><td>63.37147</td><td>60.23875</td><td>66.50419</td></tr>\n",
       "\t<tr><th scope=row>secondary.school.teachers</th><td>69.29886</td><td>66.38863</td><td>72.20909</td></tr>\n",
       "\t<tr><th scope=row>physicians</th><td>82.75685</td><td>75.91924</td><td>89.59446</td></tr>\n",
       "\t<tr><th scope=row>veterinarians</th><td>75.98551</td><td>72.55537</td><td>79.41566</td></tr>\n",
       "\t<tr><th scope=row>osteopaths.chiropractors</th><td>74.08194</td><td>70.30113</td><td>77.86276</td></tr>\n",
       "\t<tr><th scope=row>nurses</th><td>59.19996</td><td>55.47033</td><td>62.92960</td></tr>\n",
       "\t<tr><th scope=row>nursing.aides</th><td>32.92129</td><td>29.60882</td><td>36.23375</td></tr>\n",
       "\t<tr><th scope=row>physio.therapsts</th><td>63.02440</td><td>59.72603</td><td>66.32276</td></tr>\n",
       "\t<tr><th scope=row>pharmacists</th><td>71.19094</td><td>68.51920</td><td>73.86267</td></tr>\n",
       "\t<tr><th scope=row>⋮</th><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>canners</th><td>21.75132</td><td>17.84020</td><td>25.66244</td></tr>\n",
       "\t<tr><th scope=row>textile.weavers</th><td>27.53449</td><td>24.82588</td><td>30.24310</td></tr>\n",
       "\t<tr><th scope=row>textile.labourers</th><td>24.68371</td><td>21.72556</td><td>27.64186</td></tr>\n",
       "\t<tr><th scope=row>tool.die.makers</th><td>49.15333</td><td>45.71852</td><td>52.58814</td></tr>\n",
       "\t<tr><th scope=row>machinists</th><td>41.00913</td><td>38.68962</td><td>43.32864</td></tr>\n",
       "\t<tr><th scope=row>sheet.metal.workers</th><td>39.38359</td><td>37.09882</td><td>41.66836</td></tr>\n",
       "\t<tr><th scope=row>welders</th><td>37.64871</td><td>35.25725</td><td>40.04016</td></tr>\n",
       "\t<tr><th scope=row>auto.workers</th><td>37.11143</td><td>35.13095</td><td>39.09191</td></tr>\n",
       "\t<tr><th scope=row>aircraft.workers</th><td>40.56375</td><td>38.30305</td><td>42.82444</td></tr>\n",
       "\t<tr><th scope=row>electronic.workers</th><td>32.25632</td><td>29.67890</td><td>34.83374</td></tr>\n",
       "\t<tr><th scope=row>radio.tv.repairmen</th><td>41.63061</td><td>38.64345</td><td>44.61777</td></tr>\n",
       "\t<tr><th scope=row>sewing.mach.operators</th><td>21.58966</td><td>18.12545</td><td>25.05388</td></tr>\n",
       "\t<tr><th scope=row>auto.repairmen</th><td>36.05818</td><td>34.03023</td><td>38.08614</td></tr>\n",
       "\t<tr><th scope=row>aircraft.repairmen</th><td>48.15878</td><td>44.91223</td><td>51.40533</td></tr>\n",
       "\t<tr><th scope=row>railway.sectionmen</th><td>28.26670</td><td>25.55834</td><td>30.97506</td></tr>\n",
       "\t<tr><th scope=row>electrical.linemen</th><td>46.84774</td><td>43.38180</td><td>50.31369</td></tr>\n",
       "\t<tr><th scope=row>electricians</th><td>45.85855</td><td>42.97734</td><td>48.73976</td></tr>\n",
       "\t<tr><th scope=row>construction.foremen</th><td>46.15340</td><td>41.99455</td><td>50.31225</td></tr>\n",
       "\t<tr><th scope=row>carpenters</th><td>30.91667</td><td>28.34794</td><td>33.48541</td></tr>\n",
       "\t<tr><th scope=row>masons</th><td>32.01268</td><td>28.95307</td><td>35.07230</td></tr>\n",
       "\t<tr><th scope=row>house.painters</th><td>31.27120</td><td>29.14544</td><td>33.39695</td></tr>\n",
       "\t<tr><th scope=row>plumbers</th><td>40.30860</td><td>37.78539</td><td>42.83181</td></tr>\n",
       "\t<tr><th scope=row>construction.labourers</th><td>28.38680</td><td>25.93397</td><td>30.83962</td></tr>\n",
       "\t<tr><th scope=row>pilots</th><td>64.50148</td><td>60.81043</td><td>68.19253</td></tr>\n",
       "\t<tr><th scope=row>train.engineers</th><td>46.80362</td><td>42.76473</td><td>50.84251</td></tr>\n",
       "\t<tr><th scope=row>bus.drivers</th><td>33.74722</td><td>31.56560</td><td>35.92885</td></tr>\n",
       "\t<tr><th scope=row>taxi.drivers</th><td>30.61728</td><td>28.37961</td><td>32.85494</td></tr>\n",
       "\t<tr><th scope=row>longshoremen</th><td>33.61285</td><td>31.57426</td><td>35.65143</td></tr>\n",
       "\t<tr><th scope=row>typesetters</th><td>43.92426</td><td>41.21323</td><td>46.63528</td></tr>\n",
       "\t<tr><th scope=row>bookbinders</th><td>30.59930</td><td>27.88263</td><td>33.31597</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 98 × 3 of type dbl\n",
       "\\begin{tabular}{r|lll}\n",
       "  & fit & lwr & upr\\\\\n",
       "\\hline\n",
       "\tgov.administrators & 66.00548 & 63.24223 & 68.76874\\\\\n",
       "\tgeneral.managers & 71.86641 & 64.03647 & 79.69636\\\\\n",
       "\taccountants & 63.04934 & 60.26891 & 65.82977\\\\\n",
       "\tpurchasing.officers & 58.69231 & 54.81666 & 62.56795\\\\\n",
       "\tchemists & 68.13094 & 65.51341 & 70.74847\\\\\n",
       "\tphysicists & 72.87130 & 69.93245 & 75.81015\\\\\n",
       "\tbiologists & 69.46908 & 66.59734 & 72.34083\\\\\n",
       "\tarchitects & 74.21909 & 71.14922 & 77.28897\\\\\n",
       "\tcivil.engineers & 69.68345 & 67.31094 & 72.05596\\\\\n",
       "\tmining.engineers & 69.82723 & 67.43339 & 72.22108\\\\\n",
       "\tsurveyors & 59.79120 & 56.33312 & 63.24929\\\\\n",
       "\tdraughtsmen & 60.23987 & 56.93623 & 63.54351\\\\\n",
       "\tcomputer.programers & 65.74331 & 63.26024 & 68.22639\\\\\n",
       "\teconomists & 67.36282 & 64.73808 & 69.98755\\\\\n",
       "\tpsychologists & 66.71763 & 63.97541 & 69.45985\\\\\n",
       "\tsocial.workers & 65.59437 & 62.61226 & 68.57647\\\\\n",
       "\tlawyers & 78.40580 & 73.82374 & 82.98786\\\\\n",
       "\tlibrarians & 65.27216 & 62.23838 & 68.30593\\\\\n",
       "\tvocational.counsellors & 70.69760 & 67.95069 & 73.44451\\\\\n",
       "\tministers & 65.44589 & 61.87644 & 69.01534\\\\\n",
       "\tuniversity.teachers & 74.77954 & 71.56603 & 77.99305\\\\\n",
       "\tprimary.school.teachers & 63.37147 & 60.23875 & 66.50419\\\\\n",
       "\tsecondary.school.teachers & 69.29886 & 66.38863 & 72.20909\\\\\n",
       "\tphysicians & 82.75685 & 75.91924 & 89.59446\\\\\n",
       "\tveterinarians & 75.98551 & 72.55537 & 79.41566\\\\\n",
       "\tosteopaths.chiropractors & 74.08194 & 70.30113 & 77.86276\\\\\n",
       "\tnurses & 59.19996 & 55.47033 & 62.92960\\\\\n",
       "\tnursing.aides & 32.92129 & 29.60882 & 36.23375\\\\\n",
       "\tphysio.therapsts & 63.02440 & 59.72603 & 66.32276\\\\\n",
       "\tpharmacists & 71.19094 & 68.51920 & 73.86267\\\\\n",
       "\t⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\tcanners & 21.75132 & 17.84020 & 25.66244\\\\\n",
       "\ttextile.weavers & 27.53449 & 24.82588 & 30.24310\\\\\n",
       "\ttextile.labourers & 24.68371 & 21.72556 & 27.64186\\\\\n",
       "\ttool.die.makers & 49.15333 & 45.71852 & 52.58814\\\\\n",
       "\tmachinists & 41.00913 & 38.68962 & 43.32864\\\\\n",
       "\tsheet.metal.workers & 39.38359 & 37.09882 & 41.66836\\\\\n",
       "\twelders & 37.64871 & 35.25725 & 40.04016\\\\\n",
       "\tauto.workers & 37.11143 & 35.13095 & 39.09191\\\\\n",
       "\taircraft.workers & 40.56375 & 38.30305 & 42.82444\\\\\n",
       "\telectronic.workers & 32.25632 & 29.67890 & 34.83374\\\\\n",
       "\tradio.tv.repairmen & 41.63061 & 38.64345 & 44.61777\\\\\n",
       "\tsewing.mach.operators & 21.58966 & 18.12545 & 25.05388\\\\\n",
       "\tauto.repairmen & 36.05818 & 34.03023 & 38.08614\\\\\n",
       "\taircraft.repairmen & 48.15878 & 44.91223 & 51.40533\\\\\n",
       "\trailway.sectionmen & 28.26670 & 25.55834 & 30.97506\\\\\n",
       "\telectrical.linemen & 46.84774 & 43.38180 & 50.31369\\\\\n",
       "\telectricians & 45.85855 & 42.97734 & 48.73976\\\\\n",
       "\tconstruction.foremen & 46.15340 & 41.99455 & 50.31225\\\\\n",
       "\tcarpenters & 30.91667 & 28.34794 & 33.48541\\\\\n",
       "\tmasons & 32.01268 & 28.95307 & 35.07230\\\\\n",
       "\thouse.painters & 31.27120 & 29.14544 & 33.39695\\\\\n",
       "\tplumbers & 40.30860 & 37.78539 & 42.83181\\\\\n",
       "\tconstruction.labourers & 28.38680 & 25.93397 & 30.83962\\\\\n",
       "\tpilots & 64.50148 & 60.81043 & 68.19253\\\\\n",
       "\ttrain.engineers & 46.80362 & 42.76473 & 50.84251\\\\\n",
       "\tbus.drivers & 33.74722 & 31.56560 & 35.92885\\\\\n",
       "\ttaxi.drivers & 30.61728 & 28.37961 & 32.85494\\\\\n",
       "\tlongshoremen & 33.61285 & 31.57426 & 35.65143\\\\\n",
       "\ttypesetters & 43.92426 & 41.21323 & 46.63528\\\\\n",
       "\tbookbinders & 30.59930 & 27.88263 & 33.31597\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 98 × 3 of type dbl\n",
       "\n",
       "| <!--/--> | fit | lwr | upr |\n",
       "|---|---|---|---|\n",
       "| gov.administrators | 66.00548 | 63.24223 | 68.76874 |\n",
       "| general.managers | 71.86641 | 64.03647 | 79.69636 |\n",
       "| accountants | 63.04934 | 60.26891 | 65.82977 |\n",
       "| purchasing.officers | 58.69231 | 54.81666 | 62.56795 |\n",
       "| chemists | 68.13094 | 65.51341 | 70.74847 |\n",
       "| physicists | 72.87130 | 69.93245 | 75.81015 |\n",
       "| biologists | 69.46908 | 66.59734 | 72.34083 |\n",
       "| architects | 74.21909 | 71.14922 | 77.28897 |\n",
       "| civil.engineers | 69.68345 | 67.31094 | 72.05596 |\n",
       "| mining.engineers | 69.82723 | 67.43339 | 72.22108 |\n",
       "| surveyors | 59.79120 | 56.33312 | 63.24929 |\n",
       "| draughtsmen | 60.23987 | 56.93623 | 63.54351 |\n",
       "| computer.programers | 65.74331 | 63.26024 | 68.22639 |\n",
       "| economists | 67.36282 | 64.73808 | 69.98755 |\n",
       "| psychologists | 66.71763 | 63.97541 | 69.45985 |\n",
       "| social.workers | 65.59437 | 62.61226 | 68.57647 |\n",
       "| lawyers | 78.40580 | 73.82374 | 82.98786 |\n",
       "| librarians | 65.27216 | 62.23838 | 68.30593 |\n",
       "| vocational.counsellors | 70.69760 | 67.95069 | 73.44451 |\n",
       "| ministers | 65.44589 | 61.87644 | 69.01534 |\n",
       "| university.teachers | 74.77954 | 71.56603 | 77.99305 |\n",
       "| primary.school.teachers | 63.37147 | 60.23875 | 66.50419 |\n",
       "| secondary.school.teachers | 69.29886 | 66.38863 | 72.20909 |\n",
       "| physicians | 82.75685 | 75.91924 | 89.59446 |\n",
       "| veterinarians | 75.98551 | 72.55537 | 79.41566 |\n",
       "| osteopaths.chiropractors | 74.08194 | 70.30113 | 77.86276 |\n",
       "| nurses | 59.19996 | 55.47033 | 62.92960 |\n",
       "| nursing.aides | 32.92129 | 29.60882 | 36.23375 |\n",
       "| physio.therapsts | 63.02440 | 59.72603 | 66.32276 |\n",
       "| pharmacists | 71.19094 | 68.51920 | 73.86267 |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| canners | 21.75132 | 17.84020 | 25.66244 |\n",
       "| textile.weavers | 27.53449 | 24.82588 | 30.24310 |\n",
       "| textile.labourers | 24.68371 | 21.72556 | 27.64186 |\n",
       "| tool.die.makers | 49.15333 | 45.71852 | 52.58814 |\n",
       "| machinists | 41.00913 | 38.68962 | 43.32864 |\n",
       "| sheet.metal.workers | 39.38359 | 37.09882 | 41.66836 |\n",
       "| welders | 37.64871 | 35.25725 | 40.04016 |\n",
       "| auto.workers | 37.11143 | 35.13095 | 39.09191 |\n",
       "| aircraft.workers | 40.56375 | 38.30305 | 42.82444 |\n",
       "| electronic.workers | 32.25632 | 29.67890 | 34.83374 |\n",
       "| radio.tv.repairmen | 41.63061 | 38.64345 | 44.61777 |\n",
       "| sewing.mach.operators | 21.58966 | 18.12545 | 25.05388 |\n",
       "| auto.repairmen | 36.05818 | 34.03023 | 38.08614 |\n",
       "| aircraft.repairmen | 48.15878 | 44.91223 | 51.40533 |\n",
       "| railway.sectionmen | 28.26670 | 25.55834 | 30.97506 |\n",
       "| electrical.linemen | 46.84774 | 43.38180 | 50.31369 |\n",
       "| electricians | 45.85855 | 42.97734 | 48.73976 |\n",
       "| construction.foremen | 46.15340 | 41.99455 | 50.31225 |\n",
       "| carpenters | 30.91667 | 28.34794 | 33.48541 |\n",
       "| masons | 32.01268 | 28.95307 | 35.07230 |\n",
       "| house.painters | 31.27120 | 29.14544 | 33.39695 |\n",
       "| plumbers | 40.30860 | 37.78539 | 42.83181 |\n",
       "| construction.labourers | 28.38680 | 25.93397 | 30.83962 |\n",
       "| pilots | 64.50148 | 60.81043 | 68.19253 |\n",
       "| train.engineers | 46.80362 | 42.76473 | 50.84251 |\n",
       "| bus.drivers | 33.74722 | 31.56560 | 35.92885 |\n",
       "| taxi.drivers | 30.61728 | 28.37961 | 32.85494 |\n",
       "| longshoremen | 33.61285 | 31.57426 | 35.65143 |\n",
       "| typesetters | 43.92426 | 41.21323 | 46.63528 |\n",
       "| bookbinders | 30.59930 | 27.88263 | 33.31597 |\n",
       "\n"
      ],
      "text/plain": [
       "                          fit      lwr      upr     \n",
       "gov.administrators        66.00548 63.24223 68.76874\n",
       "general.managers          71.86641 64.03647 79.69636\n",
       "accountants               63.04934 60.26891 65.82977\n",
       "purchasing.officers       58.69231 54.81666 62.56795\n",
       "chemists                  68.13094 65.51341 70.74847\n",
       "physicists                72.87130 69.93245 75.81015\n",
       "biologists                69.46908 66.59734 72.34083\n",
       "architects                74.21909 71.14922 77.28897\n",
       "civil.engineers           69.68345 67.31094 72.05596\n",
       "mining.engineers          69.82723 67.43339 72.22108\n",
       "surveyors                 59.79120 56.33312 63.24929\n",
       "draughtsmen               60.23987 56.93623 63.54351\n",
       "computer.programers       65.74331 63.26024 68.22639\n",
       "economists                67.36282 64.73808 69.98755\n",
       "psychologists             66.71763 63.97541 69.45985\n",
       "social.workers            65.59437 62.61226 68.57647\n",
       "lawyers                   78.40580 73.82374 82.98786\n",
       "librarians                65.27216 62.23838 68.30593\n",
       "vocational.counsellors    70.69760 67.95069 73.44451\n",
       "ministers                 65.44589 61.87644 69.01534\n",
       "university.teachers       74.77954 71.56603 77.99305\n",
       "primary.school.teachers   63.37147 60.23875 66.50419\n",
       "secondary.school.teachers 69.29886 66.38863 72.20909\n",
       "physicians                82.75685 75.91924 89.59446\n",
       "veterinarians             75.98551 72.55537 79.41566\n",
       "osteopaths.chiropractors  74.08194 70.30113 77.86276\n",
       "nurses                    59.19996 55.47033 62.92960\n",
       "nursing.aides             32.92129 29.60882 36.23375\n",
       "physio.therapsts          63.02440 59.72603 66.32276\n",
       "pharmacists               71.19094 68.51920 73.86267\n",
       "⋮                         ⋮        ⋮        ⋮       \n",
       "canners                   21.75132 17.84020 25.66244\n",
       "textile.weavers           27.53449 24.82588 30.24310\n",
       "textile.labourers         24.68371 21.72556 27.64186\n",
       "tool.die.makers           49.15333 45.71852 52.58814\n",
       "machinists                41.00913 38.68962 43.32864\n",
       "sheet.metal.workers       39.38359 37.09882 41.66836\n",
       "welders                   37.64871 35.25725 40.04016\n",
       "auto.workers              37.11143 35.13095 39.09191\n",
       "aircraft.workers          40.56375 38.30305 42.82444\n",
       "electronic.workers        32.25632 29.67890 34.83374\n",
       "radio.tv.repairmen        41.63061 38.64345 44.61777\n",
       "sewing.mach.operators     21.58966 18.12545 25.05388\n",
       "auto.repairmen            36.05818 34.03023 38.08614\n",
       "aircraft.repairmen        48.15878 44.91223 51.40533\n",
       "railway.sectionmen        28.26670 25.55834 30.97506\n",
       "electrical.linemen        46.84774 43.38180 50.31369\n",
       "electricians              45.85855 42.97734 48.73976\n",
       "construction.foremen      46.15340 41.99455 50.31225\n",
       "carpenters                30.91667 28.34794 33.48541\n",
       "masons                    32.01268 28.95307 35.07230\n",
       "house.painters            31.27120 29.14544 33.39695\n",
       "plumbers                  40.30860 37.78539 42.83181\n",
       "construction.labourers    28.38680 25.93397 30.83962\n",
       "pilots                    64.50148 60.81043 68.19253\n",
       "train.engineers           46.80362 42.76473 50.84251\n",
       "bus.drivers               33.74722 31.56560 35.92885\n",
       "taxi.drivers              30.61728 28.37961 32.85494\n",
       "longshoremen              33.61285 31.57426 35.65143\n",
       "typesetters               43.92426 41.21323 46.63528\n",
       "bookbinders               30.59930 27.88263 33.31597"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict(mod3, interval=\"confidence\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in predict.lm(mod3, interval = \"prediction\"):\n",
      "“predictions on current data refer to _future_ responses\n",
      "”"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 98 × 3 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>fit</th><th scope=col>lwr</th><th scope=col>upr</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>gov.administrators</th><td>66.00548</td><td>52.88978</td><td>79.12119</td></tr>\n",
       "\t<tr><th scope=row>general.managers</th><td>71.86641</td><td>56.84329</td><td>86.88954</td></tr>\n",
       "\t<tr><th scope=row>accountants</th><td>63.04934</td><td>49.93000</td><td>76.16867</td></tr>\n",
       "\t<tr><th scope=row>purchasing.officers</th><td>58.69231</td><td>45.29803</td><td>72.08659</td></tr>\n",
       "\t<tr><th scope=row>chemists</th><td>68.13094</td><td>55.04516</td><td>81.21672</td></tr>\n",
       "\t<tr><th scope=row>physicists</th><td>72.87130</td><td>59.71748</td><td>86.02512</td></tr>\n",
       "\t<tr><th scope=row>biologists</th><td>69.46908</td><td>56.33009</td><td>82.60808</td></tr>\n",
       "\t<tr><th scope=row>architects</th><td>74.21909</td><td>61.03538</td><td>87.40281</td></tr>\n",
       "\t<tr><th scope=row>civil.engineers</th><td>69.68345</td><td>56.64447</td><td>82.72243</td></tr>\n",
       "\t<tr><th scope=row>mining.engineers</th><td>69.82723</td><td>56.78435</td><td>82.87011</td></tr>\n",
       "\t<tr><th scope=row>surveyors</th><td>59.79120</td><td>46.51172</td><td>73.07068</td></tr>\n",
       "\t<tr><th scope=row>draughtsmen</th><td>60.23987</td><td>46.99977</td><td>73.47997</td></tr>\n",
       "\t<tr><th scope=row>computer.programers</th><td>65.74331</td><td>52.68376</td><td>78.80286</td></tr>\n",
       "\t<tr><th scope=row>economists</th><td>67.36282</td><td>54.27559</td><td>80.45004</td></tr>\n",
       "\t<tr><th scope=row>psychologists</th><td>66.71763</td><td>53.60634</td><td>79.82892</td></tr>\n",
       "\t<tr><th scope=row>social.workers</th><td>65.59437</td><td>52.43081</td><td>78.75792</td></tr>\n",
       "\t<tr><th scope=row>lawyers</th><td>78.40580</td><td>64.79031</td><td>92.02129</td></tr>\n",
       "\t<tr><th scope=row>librarians</th><td>65.27216</td><td>52.09680</td><td>78.44751</td></tr>\n",
       "\t<tr><th scope=row>vocational.counsellors</th><td>70.69760</td><td>57.58533</td><td>83.80987</td></tr>\n",
       "\t<tr><th scope=row>ministers</th><td>65.44589</td><td>52.13698</td><td>78.75480</td></tr>\n",
       "\t<tr><th scope=row>university.teachers</th><td>74.77954</td><td>61.56164</td><td>87.99744</td></tr>\n",
       "\t<tr><th scope=row>primary.school.teachers</th><td>63.37147</td><td>50.17298</td><td>76.56996</td></tr>\n",
       "\t<tr><th scope=row>secondary.school.teachers</th><td>69.29886</td><td>56.15140</td><td>82.44631</td></tr>\n",
       "\t<tr><th scope=row>physicians</th><td>82.75685</td><td>68.22622</td><td>97.28748</td></tr>\n",
       "\t<tr><th scope=row>veterinarians</th><td>75.98551</td><td>62.71328</td><td>89.25774</td></tr>\n",
       "\t<tr><th scope=row>osteopaths.chiropractors</th><td>74.08194</td><td>60.71479</td><td>87.44910</td></tr>\n",
       "\t<tr><th scope=row>nurses</th><td>59.19996</td><td>45.84720</td><td>72.55273</td></tr>\n",
       "\t<tr><th scope=row>nursing.aides</th><td>32.92129</td><td>19.67898</td><td>46.16359</td></tr>\n",
       "\t<tr><th scope=row>physio.therapsts</th><td>63.02440</td><td>49.78561</td><td>76.26318</td></tr>\n",
       "\t<tr><th scope=row>pharmacists</th><td>71.19094</td><td>58.09421</td><td>84.28767</td></tr>\n",
       "\t<tr><th scope=row>⋮</th><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>canners</th><td>21.75132</td><td> 8.346727</td><td>35.15591</td></tr>\n",
       "\t<tr><th scope=row>textile.weavers</th><td>27.53449</td><td>14.430186</td><td>40.63879</td></tr>\n",
       "\t<tr><th scope=row>textile.labourers</th><td>24.68371</td><td>11.525562</td><td>37.84186</td></tr>\n",
       "\t<tr><th scope=row>tool.die.makers</th><td>49.15333</td><td>35.879897</td><td>62.42677</td></tr>\n",
       "\t<tr><th scope=row>machinists</th><td>41.00913</td><td>27.979687</td><td>54.03857</td></tr>\n",
       "\t<tr><th scope=row>sheet.metal.workers</th><td>39.38359</td><td>26.360288</td><td>52.40689</td></tr>\n",
       "\t<tr><th scope=row>welders</th><td>37.64871</td><td>24.606266</td><td>50.69115</td></tr>\n",
       "\t<tr><th scope=row>auto.workers</th><td>37.11143</td><td>24.138058</td><td>50.08481</td></tr>\n",
       "\t<tr><th scope=row>aircraft.workers</th><td>40.56375</td><td>27.544650</td><td>53.58285</td></tr>\n",
       "\t<tr><th scope=row>electronic.workers</th><td>32.25632</td><td>19.178504</td><td>45.33414</td></tr>\n",
       "\t<tr><th scope=row>radio.tv.repairmen</th><td>41.63061</td><td>28.465913</td><td>54.79531</td></tr>\n",
       "\t<tr><th scope=row>sewing.mach.operators</th><td>21.58966</td><td> 8.308589</td><td>34.87074</td></tr>\n",
       "\t<tr><th scope=row>auto.repairmen</th><td>36.05818</td><td>23.077476</td><td>49.03889</td></tr>\n",
       "\t<tr><th scope=row>aircraft.repairmen</th><td>48.15878</td><td>34.932809</td><td>61.38475</td></tr>\n",
       "\t<tr><th scope=row>railway.sectionmen</th><td>28.26670</td><td>15.162450</td><td>41.37095</td></tr>\n",
       "\t<tr><th scope=row>electrical.linemen</th><td>46.84774</td><td>33.566216</td><td>60.12927</td></tr>\n",
       "\t<tr><th scope=row>electricians</th><td>45.85855</td><td>32.717486</td><td>58.99961</td></tr>\n",
       "\t<tr><th scope=row>construction.foremen</th><td>46.15340</td><td>32.674442</td><td>59.63235</td></tr>\n",
       "\t<tr><th scope=row>carpenters</th><td>30.91667</td><td>17.840566</td><td>43.99278</td></tr>\n",
       "\t<tr><th scope=row>masons</th><td>32.01268</td><td>18.831355</td><td>45.19401</td></tr>\n",
       "\t<tr><th scope=row>house.painters</th><td>31.27120</td><td>18.274849</td><td>44.26754</td></tr>\n",
       "\t<tr><th scope=row>plumbers</th><td>40.30860</td><td>27.241360</td><td>53.37584</td></tr>\n",
       "\t<tr><th scope=row>construction.labourers</th><td>28.38680</td><td>15.332964</td><td>41.44063</td></tr>\n",
       "\t<tr><th scope=row>pilots</th><td>64.50148</td><td>51.159442</td><td>77.84352</td></tr>\n",
       "\t<tr><th scope=row>train.engineers</th><td>46.80362</td><td>33.361191</td><td>60.24604</td></tr>\n",
       "\t<tr><th scope=row>bus.drivers</th><td>33.74722</td><td>20.741622</td><td>46.75283</td></tr>\n",
       "\t<tr><th scope=row>taxi.drivers</th><td>30.61728</td><td>17.602158</td><td>43.63240</td></tr>\n",
       "\t<tr><th scope=row>longshoremen</th><td>33.61285</td><td>20.630473</td><td>46.59522</td></tr>\n",
       "\t<tr><th scope=row>typesetters</th><td>43.92426</td><td>30.819456</td><td>57.02906</td></tr>\n",
       "\t<tr><th scope=row>bookbinders</th><td>30.59930</td><td>17.493330</td><td>43.70527</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 98 × 3 of type dbl\n",
       "\\begin{tabular}{r|lll}\n",
       "  & fit & lwr & upr\\\\\n",
       "\\hline\n",
       "\tgov.administrators & 66.00548 & 52.88978 & 79.12119\\\\\n",
       "\tgeneral.managers & 71.86641 & 56.84329 & 86.88954\\\\\n",
       "\taccountants & 63.04934 & 49.93000 & 76.16867\\\\\n",
       "\tpurchasing.officers & 58.69231 & 45.29803 & 72.08659\\\\\n",
       "\tchemists & 68.13094 & 55.04516 & 81.21672\\\\\n",
       "\tphysicists & 72.87130 & 59.71748 & 86.02512\\\\\n",
       "\tbiologists & 69.46908 & 56.33009 & 82.60808\\\\\n",
       "\tarchitects & 74.21909 & 61.03538 & 87.40281\\\\\n",
       "\tcivil.engineers & 69.68345 & 56.64447 & 82.72243\\\\\n",
       "\tmining.engineers & 69.82723 & 56.78435 & 82.87011\\\\\n",
       "\tsurveyors & 59.79120 & 46.51172 & 73.07068\\\\\n",
       "\tdraughtsmen & 60.23987 & 46.99977 & 73.47997\\\\\n",
       "\tcomputer.programers & 65.74331 & 52.68376 & 78.80286\\\\\n",
       "\teconomists & 67.36282 & 54.27559 & 80.45004\\\\\n",
       "\tpsychologists & 66.71763 & 53.60634 & 79.82892\\\\\n",
       "\tsocial.workers & 65.59437 & 52.43081 & 78.75792\\\\\n",
       "\tlawyers & 78.40580 & 64.79031 & 92.02129\\\\\n",
       "\tlibrarians & 65.27216 & 52.09680 & 78.44751\\\\\n",
       "\tvocational.counsellors & 70.69760 & 57.58533 & 83.80987\\\\\n",
       "\tministers & 65.44589 & 52.13698 & 78.75480\\\\\n",
       "\tuniversity.teachers & 74.77954 & 61.56164 & 87.99744\\\\\n",
       "\tprimary.school.teachers & 63.37147 & 50.17298 & 76.56996\\\\\n",
       "\tsecondary.school.teachers & 69.29886 & 56.15140 & 82.44631\\\\\n",
       "\tphysicians & 82.75685 & 68.22622 & 97.28748\\\\\n",
       "\tveterinarians & 75.98551 & 62.71328 & 89.25774\\\\\n",
       "\tosteopaths.chiropractors & 74.08194 & 60.71479 & 87.44910\\\\\n",
       "\tnurses & 59.19996 & 45.84720 & 72.55273\\\\\n",
       "\tnursing.aides & 32.92129 & 19.67898 & 46.16359\\\\\n",
       "\tphysio.therapsts & 63.02440 & 49.78561 & 76.26318\\\\\n",
       "\tpharmacists & 71.19094 & 58.09421 & 84.28767\\\\\n",
       "\t⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\tcanners & 21.75132 &  8.346727 & 35.15591\\\\\n",
       "\ttextile.weavers & 27.53449 & 14.430186 & 40.63879\\\\\n",
       "\ttextile.labourers & 24.68371 & 11.525562 & 37.84186\\\\\n",
       "\ttool.die.makers & 49.15333 & 35.879897 & 62.42677\\\\\n",
       "\tmachinists & 41.00913 & 27.979687 & 54.03857\\\\\n",
       "\tsheet.metal.workers & 39.38359 & 26.360288 & 52.40689\\\\\n",
       "\twelders & 37.64871 & 24.606266 & 50.69115\\\\\n",
       "\tauto.workers & 37.11143 & 24.138058 & 50.08481\\\\\n",
       "\taircraft.workers & 40.56375 & 27.544650 & 53.58285\\\\\n",
       "\telectronic.workers & 32.25632 & 19.178504 & 45.33414\\\\\n",
       "\tradio.tv.repairmen & 41.63061 & 28.465913 & 54.79531\\\\\n",
       "\tsewing.mach.operators & 21.58966 &  8.308589 & 34.87074\\\\\n",
       "\tauto.repairmen & 36.05818 & 23.077476 & 49.03889\\\\\n",
       "\taircraft.repairmen & 48.15878 & 34.932809 & 61.38475\\\\\n",
       "\trailway.sectionmen & 28.26670 & 15.162450 & 41.37095\\\\\n",
       "\telectrical.linemen & 46.84774 & 33.566216 & 60.12927\\\\\n",
       "\telectricians & 45.85855 & 32.717486 & 58.99961\\\\\n",
       "\tconstruction.foremen & 46.15340 & 32.674442 & 59.63235\\\\\n",
       "\tcarpenters & 30.91667 & 17.840566 & 43.99278\\\\\n",
       "\tmasons & 32.01268 & 18.831355 & 45.19401\\\\\n",
       "\thouse.painters & 31.27120 & 18.274849 & 44.26754\\\\\n",
       "\tplumbers & 40.30860 & 27.241360 & 53.37584\\\\\n",
       "\tconstruction.labourers & 28.38680 & 15.332964 & 41.44063\\\\\n",
       "\tpilots & 64.50148 & 51.159442 & 77.84352\\\\\n",
       "\ttrain.engineers & 46.80362 & 33.361191 & 60.24604\\\\\n",
       "\tbus.drivers & 33.74722 & 20.741622 & 46.75283\\\\\n",
       "\ttaxi.drivers & 30.61728 & 17.602158 & 43.63240\\\\\n",
       "\tlongshoremen & 33.61285 & 20.630473 & 46.59522\\\\\n",
       "\ttypesetters & 43.92426 & 30.819456 & 57.02906\\\\\n",
       "\tbookbinders & 30.59930 & 17.493330 & 43.70527\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 98 × 3 of type dbl\n",
       "\n",
       "| <!--/--> | fit | lwr | upr |\n",
       "|---|---|---|---|\n",
       "| gov.administrators | 66.00548 | 52.88978 | 79.12119 |\n",
       "| general.managers | 71.86641 | 56.84329 | 86.88954 |\n",
       "| accountants | 63.04934 | 49.93000 | 76.16867 |\n",
       "| purchasing.officers | 58.69231 | 45.29803 | 72.08659 |\n",
       "| chemists | 68.13094 | 55.04516 | 81.21672 |\n",
       "| physicists | 72.87130 | 59.71748 | 86.02512 |\n",
       "| biologists | 69.46908 | 56.33009 | 82.60808 |\n",
       "| architects | 74.21909 | 61.03538 | 87.40281 |\n",
       "| civil.engineers | 69.68345 | 56.64447 | 82.72243 |\n",
       "| mining.engineers | 69.82723 | 56.78435 | 82.87011 |\n",
       "| surveyors | 59.79120 | 46.51172 | 73.07068 |\n",
       "| draughtsmen | 60.23987 | 46.99977 | 73.47997 |\n",
       "| computer.programers | 65.74331 | 52.68376 | 78.80286 |\n",
       "| economists | 67.36282 | 54.27559 | 80.45004 |\n",
       "| psychologists | 66.71763 | 53.60634 | 79.82892 |\n",
       "| social.workers | 65.59437 | 52.43081 | 78.75792 |\n",
       "| lawyers | 78.40580 | 64.79031 | 92.02129 |\n",
       "| librarians | 65.27216 | 52.09680 | 78.44751 |\n",
       "| vocational.counsellors | 70.69760 | 57.58533 | 83.80987 |\n",
       "| ministers | 65.44589 | 52.13698 | 78.75480 |\n",
       "| university.teachers | 74.77954 | 61.56164 | 87.99744 |\n",
       "| primary.school.teachers | 63.37147 | 50.17298 | 76.56996 |\n",
       "| secondary.school.teachers | 69.29886 | 56.15140 | 82.44631 |\n",
       "| physicians | 82.75685 | 68.22622 | 97.28748 |\n",
       "| veterinarians | 75.98551 | 62.71328 | 89.25774 |\n",
       "| osteopaths.chiropractors | 74.08194 | 60.71479 | 87.44910 |\n",
       "| nurses | 59.19996 | 45.84720 | 72.55273 |\n",
       "| nursing.aides | 32.92129 | 19.67898 | 46.16359 |\n",
       "| physio.therapsts | 63.02440 | 49.78561 | 76.26318 |\n",
       "| pharmacists | 71.19094 | 58.09421 | 84.28767 |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| canners | 21.75132 |  8.346727 | 35.15591 |\n",
       "| textile.weavers | 27.53449 | 14.430186 | 40.63879 |\n",
       "| textile.labourers | 24.68371 | 11.525562 | 37.84186 |\n",
       "| tool.die.makers | 49.15333 | 35.879897 | 62.42677 |\n",
       "| machinists | 41.00913 | 27.979687 | 54.03857 |\n",
       "| sheet.metal.workers | 39.38359 | 26.360288 | 52.40689 |\n",
       "| welders | 37.64871 | 24.606266 | 50.69115 |\n",
       "| auto.workers | 37.11143 | 24.138058 | 50.08481 |\n",
       "| aircraft.workers | 40.56375 | 27.544650 | 53.58285 |\n",
       "| electronic.workers | 32.25632 | 19.178504 | 45.33414 |\n",
       "| radio.tv.repairmen | 41.63061 | 28.465913 | 54.79531 |\n",
       "| sewing.mach.operators | 21.58966 |  8.308589 | 34.87074 |\n",
       "| auto.repairmen | 36.05818 | 23.077476 | 49.03889 |\n",
       "| aircraft.repairmen | 48.15878 | 34.932809 | 61.38475 |\n",
       "| railway.sectionmen | 28.26670 | 15.162450 | 41.37095 |\n",
       "| electrical.linemen | 46.84774 | 33.566216 | 60.12927 |\n",
       "| electricians | 45.85855 | 32.717486 | 58.99961 |\n",
       "| construction.foremen | 46.15340 | 32.674442 | 59.63235 |\n",
       "| carpenters | 30.91667 | 17.840566 | 43.99278 |\n",
       "| masons | 32.01268 | 18.831355 | 45.19401 |\n",
       "| house.painters | 31.27120 | 18.274849 | 44.26754 |\n",
       "| plumbers | 40.30860 | 27.241360 | 53.37584 |\n",
       "| construction.labourers | 28.38680 | 15.332964 | 41.44063 |\n",
       "| pilots | 64.50148 | 51.159442 | 77.84352 |\n",
       "| train.engineers | 46.80362 | 33.361191 | 60.24604 |\n",
       "| bus.drivers | 33.74722 | 20.741622 | 46.75283 |\n",
       "| taxi.drivers | 30.61728 | 17.602158 | 43.63240 |\n",
       "| longshoremen | 33.61285 | 20.630473 | 46.59522 |\n",
       "| typesetters | 43.92426 | 30.819456 | 57.02906 |\n",
       "| bookbinders | 30.59930 | 17.493330 | 43.70527 |\n",
       "\n"
      ],
      "text/plain": [
       "                          fit      lwr       upr     \n",
       "gov.administrators        66.00548 52.88978  79.12119\n",
       "general.managers          71.86641 56.84329  86.88954\n",
       "accountants               63.04934 49.93000  76.16867\n",
       "purchasing.officers       58.69231 45.29803  72.08659\n",
       "chemists                  68.13094 55.04516  81.21672\n",
       "physicists                72.87130 59.71748  86.02512\n",
       "biologists                69.46908 56.33009  82.60808\n",
       "architects                74.21909 61.03538  87.40281\n",
       "civil.engineers           69.68345 56.64447  82.72243\n",
       "mining.engineers          69.82723 56.78435  82.87011\n",
       "surveyors                 59.79120 46.51172  73.07068\n",
       "draughtsmen               60.23987 46.99977  73.47997\n",
       "computer.programers       65.74331 52.68376  78.80286\n",
       "economists                67.36282 54.27559  80.45004\n",
       "psychologists             66.71763 53.60634  79.82892\n",
       "social.workers            65.59437 52.43081  78.75792\n",
       "lawyers                   78.40580 64.79031  92.02129\n",
       "librarians                65.27216 52.09680  78.44751\n",
       "vocational.counsellors    70.69760 57.58533  83.80987\n",
       "ministers                 65.44589 52.13698  78.75480\n",
       "university.teachers       74.77954 61.56164  87.99744\n",
       "primary.school.teachers   63.37147 50.17298  76.56996\n",
       "secondary.school.teachers 69.29886 56.15140  82.44631\n",
       "physicians                82.75685 68.22622  97.28748\n",
       "veterinarians             75.98551 62.71328  89.25774\n",
       "osteopaths.chiropractors  74.08194 60.71479  87.44910\n",
       "nurses                    59.19996 45.84720  72.55273\n",
       "nursing.aides             32.92129 19.67898  46.16359\n",
       "physio.therapsts          63.02440 49.78561  76.26318\n",
       "pharmacists               71.19094 58.09421  84.28767\n",
       "⋮                         ⋮        ⋮         ⋮       \n",
       "canners                   21.75132  8.346727 35.15591\n",
       "textile.weavers           27.53449 14.430186 40.63879\n",
       "textile.labourers         24.68371 11.525562 37.84186\n",
       "tool.die.makers           49.15333 35.879897 62.42677\n",
       "machinists                41.00913 27.979687 54.03857\n",
       "sheet.metal.workers       39.38359 26.360288 52.40689\n",
       "welders                   37.64871 24.606266 50.69115\n",
       "auto.workers              37.11143 24.138058 50.08481\n",
       "aircraft.workers          40.56375 27.544650 53.58285\n",
       "electronic.workers        32.25632 19.178504 45.33414\n",
       "radio.tv.repairmen        41.63061 28.465913 54.79531\n",
       "sewing.mach.operators     21.58966  8.308589 34.87074\n",
       "auto.repairmen            36.05818 23.077476 49.03889\n",
       "aircraft.repairmen        48.15878 34.932809 61.38475\n",
       "railway.sectionmen        28.26670 15.162450 41.37095\n",
       "electrical.linemen        46.84774 33.566216 60.12927\n",
       "electricians              45.85855 32.717486 58.99961\n",
       "construction.foremen      46.15340 32.674442 59.63235\n",
       "carpenters                30.91667 17.840566 43.99278\n",
       "masons                    32.01268 18.831355 45.19401\n",
       "house.painters            31.27120 18.274849 44.26754\n",
       "plumbers                  40.30860 27.241360 53.37584\n",
       "construction.labourers    28.38680 15.332964 41.44063\n",
       "pilots                    64.50148 51.159442 77.84352\n",
       "train.engineers           46.80362 33.361191 60.24604\n",
       "bus.drivers               33.74722 20.741622 46.75283\n",
       "taxi.drivers              30.61728 17.602158 43.63240\n",
       "longshoremen              33.61285 20.630473 46.59522\n",
       "typesetters               43.92426 30.819456 57.02906\n",
       "bookbinders               30.59930 17.493330 43.70527"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict(mod3, interval=\"prediction\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 残差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>gov.administrators</dt>\n",
       "\t\t<dd>2.7945153393414</dd>\n",
       "\t<dt>general.managers</dt>\n",
       "\t\t<dd>-2.76641426351589</dd>\n",
       "\t<dt>accountants</dt>\n",
       "\t\t<dd>0.350660408014322</dd>\n",
       "\t<dt>purchasing.officers</dt>\n",
       "\t\t<dd>-1.89230985641681</dd>\n",
       "\t<dt>chemists</dt>\n",
       "\t\t<dd>5.36905992037732</dd>\n",
       "\t<dt>physicists</dt>\n",
       "\t\t<dd>4.72870064292063</dd>\n",
       "\t<dt>biologists</dt>\n",
       "\t\t<dd>3.13091705030497</dd>\n",
       "\t<dt>architects</dt>\n",
       "\t\t<dd>3.88090692787129</dd>\n",
       "\t<dt>civil.engineers</dt>\n",
       "\t\t<dd>3.41655019887986</dd>\n",
       "\t<dt>mining.engineers</dt>\n",
       "\t\t<dd>-1.02723361319157</dd>\n",
       "\t<dt>surveyors</dt>\n",
       "\t\t<dd>2.20879766671738</dd>\n",
       "\t<dt>draughtsmen</dt>\n",
       "\t\t<dd>-0.239871307786247</dd>\n",
       "\t<dt>computer.programers</dt>\n",
       "\t\t<dd>-11.9433133726051</dd>\n",
       "\t<dt>economists</dt>\n",
       "\t\t<dd>-5.16281506516316</dd>\n",
       "\t<dt>psychologists</dt>\n",
       "\t\t<dd>8.18236892343822</dd>\n",
       "\t<dt>social.workers</dt>\n",
       "\t\t<dd>-10.4943678522221</dd>\n",
       "\t<dt>lawyers</dt>\n",
       "\t\t<dd>3.8942011041144</dd>\n",
       "\t<dt>librarians</dt>\n",
       "\t\t<dd>-7.17215711247196</dd>\n",
       "\t<dt>vocational.counsellors</dt>\n",
       "\t\t<dd>-12.3975991594182</dd>\n",
       "\t<dt>ministers</dt>\n",
       "\t\t<dd>7.35411049566958</dd>\n",
       "\t<dt>university.teachers</dt>\n",
       "\t\t<dd>9.82045801880902</dd>\n",
       "\t<dt>primary.school.teachers</dt>\n",
       "\t\t<dd>-3.77147245282383</dd>\n",
       "\t<dt>secondary.school.teachers</dt>\n",
       "\t\t<dd>-3.19885701436668</dd>\n",
       "\t<dt>physicians</dt>\n",
       "\t\t<dd>4.44314924680305</dd>\n",
       "\t<dt>veterinarians</dt>\n",
       "\t\t<dd>-9.28551453110305</dd>\n",
       "\t<dt>osteopaths.chiropractors</dt>\n",
       "\t\t<dd>-5.68194363190355</dd>\n",
       "\t<dt>nurses</dt>\n",
       "\t\t<dd>5.50003554357975</dd>\n",
       "\t<dt>nursing.aides</dt>\n",
       "\t\t<dd>1.97871480191061</dd>\n",
       "\t<dt>physio.therapsts</dt>\n",
       "\t\t<dd>9.07560303731392</dd>\n",
       "\t<dt>pharmacists</dt>\n",
       "\t\t<dd>-1.89093661620571</dd>\n",
       "\t<dt>medical.technicians</dt>\n",
       "\t\t<dd>19.67099504002</dd>\n",
       "\t<dt>commercial.artists</dt>\n",
       "\t\t<dd>1.17625281623396</dd>\n",
       "\t<dt>radio.tv.announcers</dt>\n",
       "\t\t<dd>6.08660863793417</dd>\n",
       "\t<dt>secretaries</dt>\n",
       "\t\t<dd>3.70491541331404</dd>\n",
       "\t<dt>typists</dt>\n",
       "\t\t<dd>1.37306434003119</dd>\n",
       "\t<dt>bookkeepers</dt>\n",
       "\t\t<dd>7.41119197523632</dd>\n",
       "\t<dt>tellers.cashiers</dt>\n",
       "\t\t<dd>5.51100142343577</dd>\n",
       "\t<dt>computer.operators</dt>\n",
       "\t\t<dd>5.6192834421963</dd>\n",
       "\t<dt>shipping.clerks</dt>\n",
       "\t\t<dd>-5.23443672548321</dd>\n",
       "\t<dt>file.clerks</dt>\n",
       "\t\t<dd>-9.43310503604946</dd>\n",
       "\t<dt>receptionsts</dt>\n",
       "\t\t<dd>-0.0518063261242585</dd>\n",
       "\t<dt>mail.carriers</dt>\n",
       "\t\t<dd>-1.4230594672982</dd>\n",
       "\t<dt>postal.clerks</dt>\n",
       "\t\t<dd>0.0149620909451046</dd>\n",
       "\t<dt>telephone.operators</dt>\n",
       "\t\t<dd>0.530531449117412</dd>\n",
       "\t<dt>collectors</dt>\n",
       "\t\t<dd>-12.8720427733453</dd>\n",
       "\t<dt>claim.adjustors</dt>\n",
       "\t\t<dd>8.52794342147285</dd>\n",
       "\t<dt>travel.clerks</dt>\n",
       "\t\t<dd>-9.77412805896948</dd>\n",
       "\t<dt>office.clerks</dt>\n",
       "\t\t<dd>-4.96596906725291</dd>\n",
       "\t<dt>sales.supervisors</dt>\n",
       "\t\t<dd>-1.15755554159802</dd>\n",
       "\t<dt>commercial.travellers</dt>\n",
       "\t\t<dd>-8.51897155266278</dd>\n",
       "\t<dt>sales.clerks</dt>\n",
       "\t\t<dd>-8.73631006953261</dd>\n",
       "\t<dt>service.station.attendant</dt>\n",
       "\t\t<dd>-7.58547165345356</dd>\n",
       "\t<dt>insurance.agents</dt>\n",
       "\t\t<dd>-1.77752468573702</dd>\n",
       "\t<dt>real.estate.salesmen</dt>\n",
       "\t\t<dd>1.45076113361998</dd>\n",
       "\t<dt>buyers</dt>\n",
       "\t\t<dd>4.04365093673016</dd>\n",
       "\t<dt>firefighters</dt>\n",
       "\t\t<dd>-6.43923972876536</dd>\n",
       "\t<dt>policemen</dt>\n",
       "\t\t<dd>-2.76465837602752</dd>\n",
       "\t<dt>cooks</dt>\n",
       "\t\t<dd>3.13319257426199</dd>\n",
       "\t<dt>bartenders</dt>\n",
       "\t\t<dd>-11.2283865704452</dd>\n",
       "\t<dt>funeral.directors</dt>\n",
       "\t\t<dd>4.83299970976582</dd>\n",
       "\t<dt>launderers</dt>\n",
       "\t\t<dd>-4.15694041568366</dd>\n",
       "\t<dt>janitors</dt>\n",
       "\t\t<dd>-8.46764901511936</dd>\n",
       "\t<dt>elevator.operators</dt>\n",
       "\t\t<dd>-7.44109132769738</dd>\n",
       "\t<dt>farm.workers</dt>\n",
       "\t\t<dd>-3.10470678471301</dd>\n",
       "\t<dt>rotary.well.drillers</dt>\n",
       "\t\t<dd>-6.4672937428492</dd>\n",
       "\t<dt>bakers</dt>\n",
       "\t\t<dd>9.54656525970407</dd>\n",
       "\t<dt>slaughterers.1</dt>\n",
       "\t\t<dd>-7.38807813274923</dd>\n",
       "\t<dt>slaughterers.2</dt>\n",
       "\t\t<dd>2.21192186725077</dd>\n",
       "\t<dt>canners</dt>\n",
       "\t\t<dd>1.44868255112362</dd>\n",
       "\t<dt>textile.weavers</dt>\n",
       "\t\t<dd>5.76551078171914</dd>\n",
       "\t<dt>textile.labourers</dt>\n",
       "\t\t<dd>4.11629120157332</dd>\n",
       "\t<dt>tool.die.makers</dt>\n",
       "\t\t<dd>-6.65333358847783</dd>\n",
       "\t<dt>machinists</dt>\n",
       "\t\t<dd>3.19087240403449</dd>\n",
       "\t<dt>sheet.metal.workers</dt>\n",
       "\t\t<dd>-3.48358853359239</dd>\n",
       "\t<dt>welders</dt>\n",
       "\t\t<dd>4.15129370966742</dd>\n",
       "\t<dt>auto.workers</dt>\n",
       "\t\t<dd>-1.21143392657523</dd>\n",
       "\t<dt>aircraft.workers</dt>\n",
       "\t\t<dd>3.13625166909175</dd>\n",
       "\t<dt>electronic.workers</dt>\n",
       "\t\t<dd>18.5436795209963</dd>\n",
       "\t<dt>radio.tv.repairmen</dt>\n",
       "\t\t<dd>-4.43061206318815</dd>\n",
       "\t<dt>sewing.mach.operators</dt>\n",
       "\t\t<dd>6.61033566928526</dd>\n",
       "\t<dt>auto.repairmen</dt>\n",
       "\t\t<dd>2.04181635002886</dd>\n",
       "\t<dt>aircraft.repairmen</dt>\n",
       "\t\t<dd>2.14122167228525</dd>\n",
       "\t<dt>railway.sectionmen</dt>\n",
       "\t\t<dd>-0.966701143841798</dd>\n",
       "\t<dt>electrical.linemen</dt>\n",
       "\t\t<dd>-5.9477437131087</dd>\n",
       "\t<dt>electricians</dt>\n",
       "\t\t<dd>4.34144956119527</dd>\n",
       "\t<dt>construction.foremen</dt>\n",
       "\t\t<dd>4.94660261696775</dd>\n",
       "\t<dt>carpenters</dt>\n",
       "\t\t<dd>7.98332532440564</dd>\n",
       "\t<dt>masons</dt>\n",
       "\t\t<dd>4.1873171666279</dd>\n",
       "\t<dt>house.painters</dt>\n",
       "\t\t<dd>-1.37119634648754</dd>\n",
       "\t<dt>plumbers</dt>\n",
       "\t\t<dd>2.59139919425559</dd>\n",
       "\t<dt>construction.labourers</dt>\n",
       "\t\t<dd>-1.88679619450239</dd>\n",
       "\t<dt>pilots</dt>\n",
       "\t\t<dd>1.59851850880476</dd>\n",
       "\t<dt>train.engineers</dt>\n",
       "\t\t<dd>2.09638296109002</dd>\n",
       "\t<dt>bus.drivers</dt>\n",
       "\t\t<dd>2.1527759540704</dd>\n",
       "\t<dt>taxi.drivers</dt>\n",
       "\t\t<dd>-5.51727647637997</dd>\n",
       "\t<dt>longshoremen</dt>\n",
       "\t\t<dd>-7.51284589061768</dd>\n",
       "\t<dt>typesetters</dt>\n",
       "\t\t<dd>-1.72425799732404</dd>\n",
       "\t<dt>bookbinders</dt>\n",
       "\t\t<dd>4.60069910028791</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[gov.administrators] 2.7945153393414\n",
       "\\item[general.managers] -2.76641426351589\n",
       "\\item[accountants] 0.350660408014322\n",
       "\\item[purchasing.officers] -1.89230985641681\n",
       "\\item[chemists] 5.36905992037732\n",
       "\\item[physicists] 4.72870064292063\n",
       "\\item[biologists] 3.13091705030497\n",
       "\\item[architects] 3.88090692787129\n",
       "\\item[civil.engineers] 3.41655019887986\n",
       "\\item[mining.engineers] -1.02723361319157\n",
       "\\item[surveyors] 2.20879766671738\n",
       "\\item[draughtsmen] -0.239871307786247\n",
       "\\item[computer.programers] -11.9433133726051\n",
       "\\item[economists] -5.16281506516316\n",
       "\\item[psychologists] 8.18236892343822\n",
       "\\item[social.workers] -10.4943678522221\n",
       "\\item[lawyers] 3.8942011041144\n",
       "\\item[librarians] -7.17215711247196\n",
       "\\item[vocational.counsellors] -12.3975991594182\n",
       "\\item[ministers] 7.35411049566958\n",
       "\\item[university.teachers] 9.82045801880902\n",
       "\\item[primary.school.teachers] -3.77147245282383\n",
       "\\item[secondary.school.teachers] -3.19885701436668\n",
       "\\item[physicians] 4.44314924680305\n",
       "\\item[veterinarians] -9.28551453110305\n",
       "\\item[osteopaths.chiropractors] -5.68194363190355\n",
       "\\item[nurses] 5.50003554357975\n",
       "\\item[nursing.aides] 1.97871480191061\n",
       "\\item[physio.therapsts] 9.07560303731392\n",
       "\\item[pharmacists] -1.89093661620571\n",
       "\\item[medical.technicians] 19.67099504002\n",
       "\\item[commercial.artists] 1.17625281623396\n",
       "\\item[radio.tv.announcers] 6.08660863793417\n",
       "\\item[secretaries] 3.70491541331404\n",
       "\\item[typists] 1.37306434003119\n",
       "\\item[bookkeepers] 7.41119197523632\n",
       "\\item[tellers.cashiers] 5.51100142343577\n",
       "\\item[computer.operators] 5.6192834421963\n",
       "\\item[shipping.clerks] -5.23443672548321\n",
       "\\item[file.clerks] -9.43310503604946\n",
       "\\item[receptionsts] -0.0518063261242585\n",
       "\\item[mail.carriers] -1.4230594672982\n",
       "\\item[postal.clerks] 0.0149620909451046\n",
       "\\item[telephone.operators] 0.530531449117412\n",
       "\\item[collectors] -12.8720427733453\n",
       "\\item[claim.adjustors] 8.52794342147285\n",
       "\\item[travel.clerks] -9.77412805896948\n",
       "\\item[office.clerks] -4.96596906725291\n",
       "\\item[sales.supervisors] -1.15755554159802\n",
       "\\item[commercial.travellers] -8.51897155266278\n",
       "\\item[sales.clerks] -8.73631006953261\n",
       "\\item[service.station.attendant] -7.58547165345356\n",
       "\\item[insurance.agents] -1.77752468573702\n",
       "\\item[real.estate.salesmen] 1.45076113361998\n",
       "\\item[buyers] 4.04365093673016\n",
       "\\item[firefighters] -6.43923972876536\n",
       "\\item[policemen] -2.76465837602752\n",
       "\\item[cooks] 3.13319257426199\n",
       "\\item[bartenders] -11.2283865704452\n",
       "\\item[funeral.directors] 4.83299970976582\n",
       "\\item[launderers] -4.15694041568366\n",
       "\\item[janitors] -8.46764901511936\n",
       "\\item[elevator.operators] -7.44109132769738\n",
       "\\item[farm.workers] -3.10470678471301\n",
       "\\item[rotary.well.drillers] -6.4672937428492\n",
       "\\item[bakers] 9.54656525970407\n",
       "\\item[slaughterers.1] -7.38807813274923\n",
       "\\item[slaughterers.2] 2.21192186725077\n",
       "\\item[canners] 1.44868255112362\n",
       "\\item[textile.weavers] 5.76551078171914\n",
       "\\item[textile.labourers] 4.11629120157332\n",
       "\\item[tool.die.makers] -6.65333358847783\n",
       "\\item[machinists] 3.19087240403449\n",
       "\\item[sheet.metal.workers] -3.48358853359239\n",
       "\\item[welders] 4.15129370966742\n",
       "\\item[auto.workers] -1.21143392657523\n",
       "\\item[aircraft.workers] 3.13625166909175\n",
       "\\item[electronic.workers] 18.5436795209963\n",
       "\\item[radio.tv.repairmen] -4.43061206318815\n",
       "\\item[sewing.mach.operators] 6.61033566928526\n",
       "\\item[auto.repairmen] 2.04181635002886\n",
       "\\item[aircraft.repairmen] 2.14122167228525\n",
       "\\item[railway.sectionmen] -0.966701143841798\n",
       "\\item[electrical.linemen] -5.9477437131087\n",
       "\\item[electricians] 4.34144956119527\n",
       "\\item[construction.foremen] 4.94660261696775\n",
       "\\item[carpenters] 7.98332532440564\n",
       "\\item[masons] 4.1873171666279\n",
       "\\item[house.painters] -1.37119634648754\n",
       "\\item[plumbers] 2.59139919425559\n",
       "\\item[construction.labourers] -1.88679619450239\n",
       "\\item[pilots] 1.59851850880476\n",
       "\\item[train.engineers] 2.09638296109002\n",
       "\\item[bus.drivers] 2.1527759540704\n",
       "\\item[taxi.drivers] -5.51727647637997\n",
       "\\item[longshoremen] -7.51284589061768\n",
       "\\item[typesetters] -1.72425799732404\n",
       "\\item[bookbinders] 4.60069910028791\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "gov.administrators\n",
       ":   2.7945153393414general.managers\n",
       ":   -2.76641426351589accountants\n",
       ":   0.350660408014322purchasing.officers\n",
       ":   -1.89230985641681chemists\n",
       ":   5.36905992037732physicists\n",
       ":   4.72870064292063biologists\n",
       ":   3.13091705030497architects\n",
       ":   3.88090692787129civil.engineers\n",
       ":   3.41655019887986mining.engineers\n",
       ":   -1.02723361319157surveyors\n",
       ":   2.20879766671738draughtsmen\n",
       ":   -0.239871307786247computer.programers\n",
       ":   -11.9433133726051economists\n",
       ":   -5.16281506516316psychologists\n",
       ":   8.18236892343822social.workers\n",
       ":   -10.4943678522221lawyers\n",
       ":   3.8942011041144librarians\n",
       ":   -7.17215711247196vocational.counsellors\n",
       ":   -12.3975991594182ministers\n",
       ":   7.35411049566958university.teachers\n",
       ":   9.82045801880902primary.school.teachers\n",
       ":   -3.77147245282383secondary.school.teachers\n",
       ":   -3.19885701436668physicians\n",
       ":   4.44314924680305veterinarians\n",
       ":   -9.28551453110305osteopaths.chiropractors\n",
       ":   -5.68194363190355nurses\n",
       ":   5.50003554357975nursing.aides\n",
       ":   1.97871480191061physio.therapsts\n",
       ":   9.07560303731392pharmacists\n",
       ":   -1.89093661620571medical.technicians\n",
       ":   19.67099504002commercial.artists\n",
       ":   1.17625281623396radio.tv.announcers\n",
       ":   6.08660863793417secretaries\n",
       ":   3.70491541331404typists\n",
       ":   1.37306434003119bookkeepers\n",
       ":   7.41119197523632tellers.cashiers\n",
       ":   5.51100142343577computer.operators\n",
       ":   5.6192834421963shipping.clerks\n",
       ":   -5.23443672548321file.clerks\n",
       ":   -9.43310503604946receptionsts\n",
       ":   -0.0518063261242585mail.carriers\n",
       ":   -1.4230594672982postal.clerks\n",
       ":   0.0149620909451046telephone.operators\n",
       ":   0.530531449117412collectors\n",
       ":   -12.8720427733453claim.adjustors\n",
       ":   8.52794342147285travel.clerks\n",
       ":   -9.77412805896948office.clerks\n",
       ":   -4.96596906725291sales.supervisors\n",
       ":   -1.15755554159802commercial.travellers\n",
       ":   -8.51897155266278sales.clerks\n",
       ":   -8.73631006953261service.station.attendant\n",
       ":   -7.58547165345356insurance.agents\n",
       ":   -1.77752468573702real.estate.salesmen\n",
       ":   1.45076113361998buyers\n",
       ":   4.04365093673016firefighters\n",
       ":   -6.43923972876536policemen\n",
       ":   -2.76465837602752cooks\n",
       ":   3.13319257426199bartenders\n",
       ":   -11.2283865704452funeral.directors\n",
       ":   4.83299970976582launderers\n",
       ":   -4.15694041568366janitors\n",
       ":   -8.46764901511936elevator.operators\n",
       ":   -7.44109132769738farm.workers\n",
       ":   -3.10470678471301rotary.well.drillers\n",
       ":   -6.4672937428492bakers\n",
       ":   9.54656525970407slaughterers.1\n",
       ":   -7.38807813274923slaughterers.2\n",
       ":   2.21192186725077canners\n",
       ":   1.44868255112362textile.weavers\n",
       ":   5.76551078171914textile.labourers\n",
       ":   4.11629120157332tool.die.makers\n",
       ":   -6.65333358847783machinists\n",
       ":   3.19087240403449sheet.metal.workers\n",
       ":   -3.48358853359239welders\n",
       ":   4.15129370966742auto.workers\n",
       ":   -1.21143392657523aircraft.workers\n",
       ":   3.13625166909175electronic.workers\n",
       ":   18.5436795209963radio.tv.repairmen\n",
       ":   -4.43061206318815sewing.mach.operators\n",
       ":   6.61033566928526auto.repairmen\n",
       ":   2.04181635002886aircraft.repairmen\n",
       ":   2.14122167228525railway.sectionmen\n",
       ":   -0.966701143841798electrical.linemen\n",
       ":   -5.9477437131087electricians\n",
       ":   4.34144956119527construction.foremen\n",
       ":   4.94660261696775carpenters\n",
       ":   7.98332532440564masons\n",
       ":   4.1873171666279house.painters\n",
       ":   -1.37119634648754plumbers\n",
       ":   2.59139919425559construction.labourers\n",
       ":   -1.88679619450239pilots\n",
       ":   1.59851850880476train.engineers\n",
       ":   2.09638296109002bus.drivers\n",
       ":   2.1527759540704taxi.drivers\n",
       ":   -5.51727647637997longshoremen\n",
       ":   -7.51284589061768typesetters\n",
       ":   -1.72425799732404bookbinders\n",
       ":   4.60069910028791\n",
       "\n"
      ],
      "text/plain": [
       "       gov.administrators          general.managers               accountants \n",
       "               2.79451534               -2.76641426                0.35066041 \n",
       "      purchasing.officers                  chemists                physicists \n",
       "              -1.89230986                5.36905992                4.72870064 \n",
       "               biologists                architects           civil.engineers \n",
       "               3.13091705                3.88090693                3.41655020 \n",
       "         mining.engineers                 surveyors               draughtsmen \n",
       "              -1.02723361                2.20879767               -0.23987131 \n",
       "      computer.programers                economists             psychologists \n",
       "             -11.94331337               -5.16281507                8.18236892 \n",
       "           social.workers                   lawyers                librarians \n",
       "             -10.49436785                3.89420110               -7.17215711 \n",
       "   vocational.counsellors                 ministers       university.teachers \n",
       "             -12.39759916                7.35411050                9.82045802 \n",
       "  primary.school.teachers secondary.school.teachers                physicians \n",
       "              -3.77147245               -3.19885701                4.44314925 \n",
       "            veterinarians  osteopaths.chiropractors                    nurses \n",
       "              -9.28551453               -5.68194363                5.50003554 \n",
       "            nursing.aides          physio.therapsts               pharmacists \n",
       "               1.97871480                9.07560304               -1.89093662 \n",
       "      medical.technicians        commercial.artists       radio.tv.announcers \n",
       "              19.67099504                1.17625282                6.08660864 \n",
       "              secretaries                   typists               bookkeepers \n",
       "               3.70491541                1.37306434                7.41119198 \n",
       "         tellers.cashiers        computer.operators           shipping.clerks \n",
       "               5.51100142                5.61928344               -5.23443673 \n",
       "              file.clerks              receptionsts             mail.carriers \n",
       "              -9.43310504               -0.05180633               -1.42305947 \n",
       "            postal.clerks       telephone.operators                collectors \n",
       "               0.01496209                0.53053145              -12.87204277 \n",
       "          claim.adjustors             travel.clerks             office.clerks \n",
       "               8.52794342               -9.77412806               -4.96596907 \n",
       "        sales.supervisors     commercial.travellers              sales.clerks \n",
       "              -1.15755554               -8.51897155               -8.73631007 \n",
       "service.station.attendant          insurance.agents      real.estate.salesmen \n",
       "              -7.58547165               -1.77752469                1.45076113 \n",
       "                   buyers              firefighters                 policemen \n",
       "               4.04365094               -6.43923973               -2.76465838 \n",
       "                    cooks                bartenders         funeral.directors \n",
       "               3.13319257              -11.22838657                4.83299971 \n",
       "               launderers                  janitors        elevator.operators \n",
       "              -4.15694042               -8.46764902               -7.44109133 \n",
       "             farm.workers      rotary.well.drillers                    bakers \n",
       "              -3.10470678               -6.46729374                9.54656526 \n",
       "           slaughterers.1            slaughterers.2                   canners \n",
       "              -7.38807813                2.21192187                1.44868255 \n",
       "          textile.weavers         textile.labourers           tool.die.makers \n",
       "               5.76551078                4.11629120               -6.65333359 \n",
       "               machinists       sheet.metal.workers                   welders \n",
       "               3.19087240               -3.48358853                4.15129371 \n",
       "             auto.workers          aircraft.workers        electronic.workers \n",
       "              -1.21143393                3.13625167               18.54367952 \n",
       "       radio.tv.repairmen     sewing.mach.operators            auto.repairmen \n",
       "              -4.43061206                6.61033567                2.04181635 \n",
       "       aircraft.repairmen        railway.sectionmen        electrical.linemen \n",
       "               2.14122167               -0.96670114               -5.94774371 \n",
       "             electricians      construction.foremen                carpenters \n",
       "               4.34144956                4.94660262                7.98332532 \n",
       "                   masons            house.painters                  plumbers \n",
       "               4.18731717               -1.37119635                2.59139919 \n",
       "   construction.labourers                    pilots           train.engineers \n",
       "              -1.88679619                1.59851851                2.09638296 \n",
       "              bus.drivers              taxi.drivers              longshoremen \n",
       "               2.15277595               -5.51727648               -7.51284589 \n",
       "              typesetters               bookbinders \n",
       "              -1.72425800                4.60069910 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "resid(mod3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 模型设定检验： Ramsey’s RESET"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: zoo\n",
      "\n",
      "Attaching package: ‘zoo’\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    as.Date, as.Date.numeric\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tRESET test\n",
       "\n",
       "data:  prestige ~ income + education + type\n",
       "RESET = 3.3989, df1 = 2, df2 = 91, p-value = 0.03771\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(lmtest)\n",
    "\n",
    "\n",
    "resettest(prestige ~ income + education + type, data=Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9AyWCQszc8OoB1jOhVQS6RPaEmuyp0FvA2eAEWgZcj/Av6+EyR0g+hCvtkNDRm8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l/AmRZElky77LTrbXzmvfd8//e/3O85x5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\nOqrz2LjxNBzTDLSCgbh9TbN+q7Yi9RGmOcoKkkofZxB2xxRHW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FghG1iSxnxit8uNlFfnTH8JpmwsnWbHkpIbnH6uPOU493l/uZ9dTWbA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\n3kCqgnk+aztywE6iY6Cf/U5R8jV6KzSAkvdQiVAGBfORWNv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dIt2kwXpMKViV9kvnbp/qgG0/P5qwZPrcpXXKdMAapL8Y/ACcnnUu76oH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PQLgd0QO5qrMJMX+mqhuRsEpOvh0Ykt5IknVRcH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\nYJtagYwnxJacPuNI/svBn8FW4OScUoa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0xLzVGexLM/UJv04/YuEB+NyFRk1izY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\nGDBgwIABAwYMGDBgwMA1ECFcR2Li98szAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatterplotMatrix(~prestige + income + education, data=Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = prestige ~ income + education + I(income^2) + type, \n",
       "    data = Prestige)\n",
       "\n",
       "Residuals:\n",
       "     Min       1Q   Median       3Q      Max \n",
       "-13.6515  -4.4852   0.3803   4.6601  19.1576 \n",
       "\n",
       "Coefficients:\n",
       "              Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) -3.148e+00  5.108e+00  -0.616  0.53930    \n",
       "income       2.648e-03  6.049e-04   4.377 3.17e-05 ***\n",
       "education    3.175e+00  6.404e-01   4.957 3.25e-06 ***\n",
       "I(income^2) -6.376e-08  2.209e-08  -2.886  0.00485 ** \n",
       "typeprof     7.249e+00  3.746e+00   1.935  0.05606 .  \n",
       "typewc      -1.118e+00  2.485e+00  -0.450  0.65389    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 6.831 on 92 degrees of freedom\n",
       "Multiple R-squared:  0.8486,\tAdjusted R-squared:  0.8403 \n",
       "F-statistic: 103.1 on 5 and 92 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(lm(prestige ~ income + education + I(income^2) + type, data=Prestige))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tRESET test\n",
       "\n",
       "data:  prestige ~ income + education + I(income^2) + type\n",
       "RESET = 2.5303, df1 = 2, df2 = 90, p-value = 0.08529\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "resettest(prestige ~ income + education + I(income^2) + type, data=Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tRESET test\n",
       "\n",
       "data:  prestige ~ income + education + type + income:type\n",
       "RESET = 0.18284, df1 = 2, df2 = 89, p-value = 0.8332\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "resettest(prestige ~ income + education + type + income:type, data=Prestige)"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.6.1"
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 },
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