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": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   education          income          women           prestige    \n",
       " Min.   : 6.380   Min.   : 1656   Min.   : 0.000   Min.   :17.30  \n",
       " 1st Qu.: 8.445   1st Qu.: 4250   1st Qu.: 3.268   1st Qu.:35.38  \n",
       " Median :10.605   Median : 6036   Median :14.475   Median :43.60  \n",
       " Mean   :10.795   Mean   : 6939   Mean   :28.986   Mean   :47.33  \n",
       " 3rd Qu.:12.755   3rd Qu.: 8226   3rd Qu.:52.203   3rd Qu.:59.90  \n",
       " Max.   :15.970   Max.   :25879   Max.   :97.510   Max.   :87.20  \n",
       "     census       type     type2   \n",
       " Min.   :1113   bc  :44   prof:31  \n",
       " 1st Qu.:3116   prof:31   bc  :44  \n",
       " Median :5132   wc  :23   wc  :23  \n",
       " Mean   :5400                      \n",
       " 3rd Qu.:8328                      \n",
       " Max.   :9517                      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(car)\n",
    "\n",
    "summary(Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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": 17,
   "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",
       "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": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><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></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": [
       "\\begin{tabular}{r|llll}\n",
       "  & Sum Sq & Df & F value & Pr(>F)\\\\\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",
       "| <!--/--> | Sum Sq | Df | F value | Pr(>F) | \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",
       "\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": 19,
   "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": 20,
   "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",
       "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": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><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></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": [
       "\\begin{tabular}{r|llll}\n",
       "  & Sum Sq & Df & F value & Pr(>F)\\\\\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",
       "| <!--/--> | Sum Sq | Df | F value | Pr(>F) | \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",
       "\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": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCA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vSDWBwVZ2cjrblYXpcKJToSewMk/H5jyN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\nJofn0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pk0Z6NKft9jlN7ymar4bynEbO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\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatterplot(prestige ~ income | type, data=Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "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",
       "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": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><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></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": [
       "\\begin{tabular}{r|llll}\n",
       "  & Sum Sq & Df & F value & Pr(>F)\\\\\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",
       "| <!--/--> | Sum Sq | Df | F value | Pr(>F) | \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",
       "\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": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><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></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": [
       "\\begin{tabular}{r|llllll}\n",
       " Res.Df & RSS & Df & Sum of Sq & F & Pr(>F)\\\\\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",
       "Res.Df | RSS | Df | Sum of Sq | F | Pr(>F) | \n",
       "|---|---|\n",
       "| 93           | 4681.276     | NA           |       NA     |       NA     |           NA | \n",
       "| 91           | 3791.258     |  2           | 890.0186     | 10.68138     | 6.808721e-05 | \n",
       "\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": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><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></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": [
       "\\begin{tabular}{r|llllll}\n",
       " Res.Df & RSS & Df & Sum of Sq & F & Pr(>F)\\\\\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",
       "Res.Df | RSS | Df | Sum of Sq | F | Pr(>F) | \n",
       "|---|---|\n",
       "| 95          | 5272.439    | NA          |       NA    |       NA    |          NA | \n",
       "| 93          | 4681.276    |  2          | 591.1628    | 5.872131    | 0.003966438 | \n",
       "\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": [
    "mod4 <- lm(prestige ~ education + income + type, data=Prestige)\n",
    "mod5 <- lm(prestige ~ education + income, data=Prestige)\n",
    "\n",
    "anova(mod5, mod4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "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": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><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></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": [
       "\\begin{tabular}{r|llllll}\n",
       " Res.Df & RSS & Df & Sum of Sq & F & Pr(>F)\\\\\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",
       "Res.Df | RSS | Df | Sum of Sq | F | Pr(>F) | \n",
       "|---|---|\n",
       "| 95          | 5272.439    | NA          |       NA    |       NA    |          NA | \n",
       "| 93          | 4681.276    |  2          | 591.1628    | 5.872131    | 0.003966438 | \n",
       "\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": 29,
   "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": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "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": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FiTwIIICABwS27BRZY4Kj/SEPFIYiIIAAAgggEFABAqSAViyvhQAC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\nAAmQQAECEXmQEGL37rvvytdffy0oButvOmhf3n7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REHIcbDwmehfMU4LvQxgS18CaNWtm3iGCAr8TEZKM8DorpsyGQV4QumbD14KsLtai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\nrSUBEiABEkhtAhRIqX392XsSiAmBQ9ki2/eLIDFDMho8WpMWikyYp96tvNC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vQu1QewgiKZhh7NHcuXONB2nt2rXSqFEjk+Eu2LZcRgLx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\njccAAAAASUVORK5CYII=",
      "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": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: ggplot2\n"
     ]
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AACCCCAQLQECJCiVZ+UBgEE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\ngg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(coefplot)\n",
    "\n",
    "coefplot(mod3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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l1ukWa1GzdunF199dXWu3fvcuvWeS2w8QKnchuF5EnK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Nf8r3rkSqw/X27dsnVVVV5jZC/vt1nlFt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\nJUt82/r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CJMc1GQVGAAEE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\nAAAASUVORK5CYII=",
      "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": 34,
   "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": 35,
   "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"
     ]
    },
    {
     "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;\">adj. 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;\">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;\">828</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;\">857</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;\">sigma</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;\">095</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;\">455</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;\">F</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;\">117</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;\">537</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;\">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;\">.</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;\">233</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;\">p</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;\">000</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;\">Log-likelihood</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;\">−328</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;\">508</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;\">−318</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;\">175</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;\">Deviance</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;\">4681</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;\">276</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;\">3791</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;\">258</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;\">AIC</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;\">669</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;\">015</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;\">652</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;\">350</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;\">BIC</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;\">684</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;\">525</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;\">673</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;\">029</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",
       "</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",
       "adj. R-squared                 &&      $   0.828$ &&      $   0.857$\\\\\n",
       "sigma                          &&      $   7.095$ &&      $   6.455$\\\\\n",
       "F                              &&      $ 117.537$ &&      $  98.233$\\\\\n",
       "p                              &&      $   0.000$ &&      $   0.000$\\\\\n",
       "Log-likelihood                 &&      $-328.508$ &&      $-318.175$\\\\\n",
       "Deviance                       &&      $4681.276$ &&      $3791.258$\\\\\n",
       "AIC                            &&      $ 669.015$ &&      $ 652.350$\\\\\n",
       "BIC                            &&      $ 684.525$ &&      $ 673.029$\\\\\n",
       "N                              && $  98    $      && $  98    $     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}"
      ],
      "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",
       "  adj. R-squared             0.828        0.857     \n",
       "  sigma                      7.095        6.455     \n",
       "  F                        117.537       98.233     \n",
       "  p                          0.000        0.000     \n",
       "  Log-likelihood          -328.508     -318.175     \n",
       "  Deviance                4681.276     3791.258     \n",
       "  AIC                      669.015      652.350     \n",
       "  BIC                      684.525      673.029     \n",
       "  N                         98           98         \n",
       "===================================================="
      ]
     },
     "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": 36,
   "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": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "browseURL(\"apaTable.doc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "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": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>fit</th><th scope=col>lwr</th><th scope=col>upr</th></tr></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": [
       "\\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",
       "| <!--/--> | 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",
       "\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": 40,
   "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",
       "<thead><tr><th></th><th scope=col>fit</th><th scope=col>lwr</th><th scope=col>upr</th></tr></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": [
       "\\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",
       "| <!--/--> | 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",
       "\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": 41,
   "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": 42,
   "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": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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axKvpcQ9jo4sMo5DxoeBn5GMXphu1nRi+IXN5vY07XKgL2/wsxK+DeYqdXcOjN9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YrLn56LKJwh0gU47Uxx0LMuVIytg4MCV4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\na5mLnB9VnDsWGZNakXyPpmqLYw2N41h03jfSc8BzoCU5oE9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An4hj3BAl7XAIhkdjauSXUckqmSfPgfI44A2k8vhVQmotfZtAi660lJCv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\n0lMTuNrwMylin83QRN+T4D0g/bh5Oo18pr+kv/8JlOf/gFY8HslM50K2w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Hbd11HOVZsk/Z0y10rlsvYdT/gXMGv+kmxr+dFcXzz/9UbE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\nMCAlScpSvSIlTcpaA6JxYEaP+v4z+YK08mKG+yK5OFu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TCR0qxbmB1Peftn2wUVnTTPt5oMJyb9if64/3Ze/zhKeJ37sv2M9jB0PEekaQ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\njiYtxlmUsARhBl+p2Wst7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fSNsY6AYD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\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Yf6iO5TP/rngXuBpB19KVeT/3UGnIGh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\nNRAhXEdi4vfLMwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatterplotMatrix(~prestige + income + education, data=Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "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": 45,
   "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": 47,
   "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",
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