Simple regression.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 简单线性回归\n",
    "\n",
    "黄荣贵（复旦大学社会学系）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: carData\n"
     ]
    }
   ],
   "source": [
    "library(car)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>education</th><th scope=col>income</th><th scope=col>women</th><th scope=col>prestige</th><th scope=col>census</th><th scope=col>type</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>gov.administrators</th><td>13.11</td><td>12351</td><td>11.16</td><td>68.8</td><td>1113</td><td>prof</td></tr>\n",
       "\t<tr><th scope=row>general.managers</th><td>12.26</td><td>25879</td><td> 4.02</td><td>69.1</td><td>1130</td><td>prof</td></tr>\n",
       "\t<tr><th scope=row>accountants</th><td>12.77</td><td> 9271</td><td>15.70</td><td>63.4</td><td>1171</td><td>prof</td></tr>\n",
       "\t<tr><th scope=row>purchasing.officers</th><td>11.42</td><td> 8865</td><td> 9.11</td><td>56.8</td><td>1175</td><td>prof</td></tr>\n",
       "\t<tr><th scope=row>chemists</th><td>14.62</td><td> 8403</td><td>11.68</td><td>73.5</td><td>2111</td><td>prof</td></tr>\n",
       "\t<tr><th scope=row>physicists</th><td>15.64</td><td>11030</td><td> 5.13</td><td>77.6</td><td>2113</td><td>prof</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 6\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & education & income & women & prestige & census & type\\\\\n",
       "  & <dbl> & <int> & <dbl> & <dbl> & <int> & <fct>\\\\\n",
       "\\hline\n",
       "\tgov.administrators & 13.11 & 12351 & 11.16 & 68.8 & 1113 & prof\\\\\n",
       "\tgeneral.managers & 12.26 & 25879 &  4.02 & 69.1 & 1130 & prof\\\\\n",
       "\taccountants & 12.77 &  9271 & 15.70 & 63.4 & 1171 & prof\\\\\n",
       "\tpurchasing.officers & 11.42 &  8865 &  9.11 & 56.8 & 1175 & prof\\\\\n",
       "\tchemists & 14.62 &  8403 & 11.68 & 73.5 & 2111 & prof\\\\\n",
       "\tphysicists & 15.64 & 11030 &  5.13 & 77.6 & 2113 & prof\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 6\n",
       "\n",
       "| <!--/--> | education &lt;dbl&gt; | income &lt;int&gt; | women &lt;dbl&gt; | prestige &lt;dbl&gt; | census &lt;int&gt; | type &lt;fct&gt; |\n",
       "|---|---|---|---|---|---|---|\n",
       "| gov.administrators | 13.11 | 12351 | 11.16 | 68.8 | 1113 | prof |\n",
       "| general.managers | 12.26 | 25879 |  4.02 | 69.1 | 1130 | prof |\n",
       "| accountants | 12.77 |  9271 | 15.70 | 63.4 | 1171 | prof |\n",
       "| purchasing.officers | 11.42 |  8865 |  9.11 | 56.8 | 1175 | prof |\n",
       "| chemists | 14.62 |  8403 | 11.68 | 73.5 | 2111 | prof |\n",
       "| physicists | 15.64 | 11030 |  5.13 | 77.6 | 2113 | prof |\n",
       "\n"
      ],
      "text/plain": [
       "                    education income women prestige census type\n",
       "gov.administrators  13.11     12351  11.16 68.8     1113   prof\n",
       "general.managers    12.26     25879   4.02 69.1     1130   prof\n",
       "accountants         12.77      9271  15.70 63.4     1171   prof\n",
       "purchasing.officers 11.42      8865   9.11 56.8     1175   prof\n",
       "chemists            14.62      8403  11.68 73.5     2111   prof\n",
       "physicists          15.64     11030   5.13 77.6     2113   prof"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(Prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Call:\n",
      "lm(formula = prestige ~ income, data = Prestige)\n",
      "\n",
      "Coefficients:\n",
      "(Intercept)       income  \n",
      "  27.141176     0.002897  \n",
      "\n"
     ]
    }
   ],
   "source": [
    "srm = lm(prestige ~ income, data=Prestige)\n",
    "\n",
    "print(srm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = prestige ~ income, data = Prestige)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-33.007  -8.378  -2.378   8.432  32.084 \n",
       "\n",
       "Coefficients:\n",
       "             Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) 2.714e+01  2.268e+00   11.97   <2e-16 ***\n",
       "income      2.897e-03  2.833e-04   10.22   <2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 12.09 on 100 degrees of freedom\n",
       "Multiple R-squared:  0.5111,\tAdjusted R-squared:  0.5062 \n",
       "F-statistic: 104.5 on 1 and 100 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(srm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>(Intercept)</dt>\n",
       "\t\t<dd>27.1411763681363</dd>\n",
       "\t<dt>income</dt>\n",
       "\t\t<dd>0.00289679920051761</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[(Intercept)] 27.1411763681363\n",
       "\\item[income] 0.00289679920051761\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "(Intercept)\n",
       ":   27.1411763681363income\n",
       ":   0.00289679920051761\n",
       "\n"
      ],
      "text/plain": [
       " (Intercept)       income \n",
       "27.141176368  0.002896799 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coef(srm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面画图命令仅适用于简单线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Y2d2IzhtGlrgfWVwDAJ6CANk655S0AC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KEzEqHkA7ddDIJSl7JTodbY7iEGU+4u7o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\ncoHfdgklI+DZUCwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(x=Prestige$income, y=Prestige$prestige)\n",
    "\n",
    "abline(reg=srm, col=\"blue\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>(Intercept)</th><th scope=col>income</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>(Intercept)</th><td> 5.1424797018</td><td>-5.456863e-04</td></tr>\n",
       "\t<tr><th scope=row>income</th><td>-0.0005456863</td><td> 8.027275e-08</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & (Intercept) & income\\\\\n",
       "\\hline\n",
       "\t(Intercept) &  5.1424797018 & -5.456863e-04\\\\\n",
       "\tincome & -0.0005456863 &  8.027275e-08\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | (Intercept) | income | \n",
       "|---|---|\n",
       "| (Intercept) |  5.1424797018 | -5.456863e-04 | \n",
       "| income | -0.0005456863 |  8.027275e-08 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "            (Intercept)   income       \n",
       "(Intercept)  5.1424797018 -5.456863e-04\n",
       "income      -0.0005456863  8.027275e-08"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vcov(srm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>(Intercept)</dt>\n",
       "\t\t<dd>2.26770361860683</dd>\n",
       "\t<dt>income</dt>\n",
       "\t\t<dd>0.000283324460564156</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[(Intercept)] 2.26770361860683\n",
       "\\item[income] 0.000283324460564156\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "(Intercept)\n",
       ":   2.26770361860683income\n",
       ":   0.000283324460564156\n",
       "\n"
      ],
      "text/plain": [
       " (Intercept)       income \n",
       "2.2677036186 0.0002833245 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sqrt(diag(vcov(srm)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\t<dt>travel.clerks</dt>\n",
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       "\t<dt>office.clerks</dt>\n",
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       "\t<dt>plumbers</dt>\n",
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       "\t<dt>construction.labourers</dt>\n",
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       "\t<dt>pilots</dt>\n",
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       "\t<dt>taxi.drivers</dt>\n",
       "\t\t<dd>39.3772561911226</dd>\n",
       "\t<dt>longshoremen</dt>\n",
       "\t\t<dd>40.9096629681964</dd>\n",
       "\t<dt>typesetters</dt>\n",
       "\t\t<dd>45.860292801881</dd>\n",
       "\t<dt>bookbinders</dt>\n",
       "\t\t<dd>37.6188990764084</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[gov.administrators] 62.9195432937292\n",
       "\\item[general.managers] 102.107442878331\n",
       "\\item[accountants] 53.997401756135\n",
       "\\item[purchasing.officers] 52.8213012807248\n",
       "\\item[chemists] 51.4829800500857\n",
       "\\item[physicists] 59.0928715498455\n",
       "\\item[biologists] 51.0629441660107\n",
       "\\item[architects] 68.1685434450671\n",
       "\\item[civil.engineers] 60.0980608724251\n",
       "\\item[mining.engineers] 59.0725939554418\n",
       "\\item[surveyors] 44.2380852495912\n",
       "\\item[draughtsmen] 47.58968192459\n",
       "\\item[computer.programers] 51.5467096324971\n",
       "\\item[economists] 50.4575131331025\n",
       "\\item[psychologists] 48.5919744479691\n",
       "\\item[social.workers] 45.4952961026158\n",
       "\\item[lawyers] 82.9422193677069\n",
       "\\item[librarians] 44.8464130816999\n",
       "\\item[vocational.counsellors] 54.9301710987017\n",
       "\\item[ministers] 40.7155774217618\n",
       "\\item[university.teachers] 63.293230390596\n",
       "\\item[primary.school.teachers] 43.5022982526597\n",
       "\\item[secondary.school.teachers] 50.4140611450947\n",
       "\\item[physicians] 100.453370534836\n",
       "\\item[veterinarians] 69.3127791292716\n",
       "\\item[osteopaths.chiropractors] 77.8293687787933\n",
       "\\item[nurses] 40.5070078793245\n",
       "\\item[nursing.aides] 37.2365215819401\n",
       "\\item[physio.therapsts] 41.8916778971719\n",
       "\\item[pharmacists] 57.3605856279359\n",
       "\\item[medical.technicians] 42.1465962268175\n",
       "\\item[commercial.artists] 45.0926410137439\n",
       "\\item[radio.tv.announcers] 49.0467719224504\n",
       "\\item[athletes] 50.9123106075837\n",
       "\\item[secretaries] 38.8326579414253\n",
       "\\item[typists] 36.2603002513657\n",
       "\\item[bookkeepers] 39.7364592919868\n",
       "\\item[tellers.cashiers] 34.2325408110034\n",
       "\\item[computer.operators] 39.6843169063775\n",
       "\\item[shipping.clerks] 40.9328373618006\n",
       "\\item[file.clerks] 35.8779227568974\n",
       "\\item[receptionsts] 35.5447908488378\n",
       "\\item[mail.carriers] 43.1054367621888\n",
       "\\item[postal.clerks] 37.9723085788716\n",
       "\\item[telephone.operators] 36.2979586409724\n",
       "\\item[collectors] 40.8749013777902\n",
       "\\item[claim.adjustors] 41.7758059291512\n",
       "\\item[travel.clerks] 45.272242564176\n",
       "\\item[office.clerks] 38.9456331102455\n",
       "\\item[sales.supervisors] 48.815027986409\n",
       "\\item[commercial.travellers] 52.5750733486808\n",
       "\\item[sales.clerks] 34.6554734942789\n",
       "\\item[newsboys] 29.8004380342114\n",
       "\\item[service.station.attendant] 34.006590473363\n",
       "\\item[insurance.agents] 50.6950506675449\n",
       "\\item[real.estate.salesmen] 47.3955963781554\n",
       "\\item[buyers] 50.1881108074543\n",
       "\\item[firefighters] 52.9082052567404\n",
       "\\item[policemen] 52.8966180599383\n",
       "\\item[cooks] 36.1676026769491\n",
       "\\item[bartenders] 38.5255972261704\n",
       "\\item[funeral.directors] 49.9360892770093\n",
       "\\item[babysitters] 28.9111206796525\n",
       "\\item[launderers] 35.8315739696891\n",
       "\\item[janitors] 37.1988631923334\n",
       "\\item[elevator.operators] 37.5175111043903\n",
       "\\item[farmers] 37.6942158556219\n",
       "\\item[farm.workers] 31.9382758441934\n",
       "\\item[rotary.well.drillers] 47.013218883687\n",
       "\\item[bakers] 39.3048362111097\n",
       "\\item[slaughterers.1] 42.0133434635936\n",
       "\\item[slaughterers.2] 42.0133434635936\n",
       "\\item[canners] 32.6161268571145\n",
       "\\item[textile.weavers] 40.011655216036\n",
       "\\item[textile.labourers] 37.2365215819401\n",
       "\\item[tool.die.makers] 50.4401323378994\n",
       "\\item[machinists] 46.509175822797\n",
       "\\item[sheet.metal.workers] 46.1586631195343\n",
       "\\item[welders] 45.9037447898888\n",
       "\\item[auto.workers] 43.9744765223441\n",
       "\\item[aircraft.workers] 46.1818375131385\n",
       "\\item[electronic.workers] 38.5603588165767\n",
       "\\item[radio.tv.repairmen] 42.9258352117567\n",
       "\\item[sewing.mach.operators] 35.3883636920099\n",
       "\\item[auto.repairmen] 43.9281277351358\n",
       "\\item[aircraft.repairmen] 49.4928789993301\n",
       "\\item[railway.sectionmen] 40.7445454137669\n",
       "\\item[electrical.linemen] 51.2309585196407\n",
       "\\item[electricians] 47.8446002542356\n",
       "\\item[construction.foremen] 52.8647532687326\n",
       "\\item[carpenters] 42.491315331679\n",
       "\\item[masons] 44.4032028040207\n",
       "\\item[house.painters] 40.3187159312908\n",
       "\\item[plumbers] 47.2102012293222\n",
       "\\item[construction.labourers] 38.4676612421601\n",
       "\\item[pilots] 67.7890627497993\n",
       "\\item[train.engineers] 52.7633652967145\n",
       "\\item[bus.drivers] 43.2531735214152\n",
       "\\item[taxi.drivers] 39.3772561911226\n",
       "\\item[longshoremen] 40.9096629681964\n",
       "\\item[typesetters] 45.860292801881\n",
       "\\item[bookbinders] 37.6188990764084\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "gov.administrators\n",
       ":   62.9195432937292general.managers\n",
       ":   102.107442878331accountants\n",
       ":   53.997401756135purchasing.officers\n",
       ":   52.8213012807248chemists\n",
       ":   51.4829800500857physicists\n",
       ":   59.0928715498455biologists\n",
       ":   51.0629441660107architects\n",
       ":   68.1685434450671civil.engineers\n",
       ":   60.0980608724251mining.engineers\n",
       ":   59.0725939554418surveyors\n",
       ":   44.2380852495912draughtsmen\n",
       ":   47.58968192459computer.programers\n",
       ":   51.5467096324971economists\n",
       ":   50.4575131331025psychologists\n",
       ":   48.5919744479691social.workers\n",
       ":   45.4952961026158lawyers\n",
       ":   82.9422193677069librarians\n",
       ":   44.8464130816999vocational.counsellors\n",
       ":   54.9301710987017ministers\n",
       ":   40.7155774217618university.teachers\n",
       ":   63.293230390596primary.school.teachers\n",
       ":   43.5022982526597secondary.school.teachers\n",
       ":   50.4140611450947physicians\n",
       ":   100.453370534836veterinarians\n",
       ":   69.3127791292716osteopaths.chiropractors\n",
       ":   77.8293687787933nurses\n",
       ":   40.5070078793245nursing.aides\n",
       ":   37.2365215819401physio.therapsts\n",
       ":   41.8916778971719pharmacists\n",
       ":   57.3605856279359medical.technicians\n",
       ":   42.1465962268175commercial.artists\n",
       ":   45.0926410137439radio.tv.announcers\n",
       ":   49.0467719224504athletes\n",
       ":   50.9123106075837secretaries\n",
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       ":   36.2603002513657bookkeepers\n",
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       ":   34.2325408110034computer.operators\n",
       ":   39.6843169063775shipping.clerks\n",
       ":   40.9328373618006file.clerks\n",
       ":   35.8779227568974receptionsts\n",
       ":   35.5447908488378mail.carriers\n",
       ":   43.1054367621888postal.clerks\n",
       ":   37.9723085788716telephone.operators\n",
       ":   36.2979586409724collectors\n",
       ":   40.8749013777902claim.adjustors\n",
       ":   41.7758059291512travel.clerks\n",
       ":   45.272242564176office.clerks\n",
       ":   38.9456331102455sales.supervisors\n",
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       ":   31.9382758441934rotary.well.drillers\n",
       ":   47.013218883687bakers\n",
       ":   39.3048362111097slaughterers.1\n",
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       ":   32.6161268571145textile.weavers\n",
       ":   40.011655216036textile.labourers\n",
       ":   37.2365215819401tool.die.makers\n",
       ":   50.4401323378994machinists\n",
       ":   46.509175822797sheet.metal.workers\n",
       ":   46.1586631195343welders\n",
       ":   45.9037447898888auto.workers\n",
       ":   43.9744765223441aircraft.workers\n",
       ":   46.1818375131385electronic.workers\n",
       ":   38.5603588165767radio.tv.repairmen\n",
       ":   42.9258352117567sewing.mach.operators\n",
       ":   35.3883636920099auto.repairmen\n",
       ":   43.9281277351358aircraft.repairmen\n",
       ":   49.4928789993301railway.sectionmen\n",
       ":   40.7445454137669electrical.linemen\n",
       ":   51.2309585196407electricians\n",
       ":   47.8446002542356construction.foremen\n",
       ":   52.8647532687326carpenters\n",
       ":   42.491315331679masons\n",
       ":   44.4032028040207house.painters\n",
       ":   40.3187159312908plumbers\n",
       ":   47.2102012293222construction.labourers\n",
       ":   38.4676612421601pilots\n",
       ":   67.7890627497993train.engineers\n",
       ":   52.7633652967145bus.drivers\n",
       ":   43.2531735214152taxi.drivers\n",
       ":   39.3772561911226longshoremen\n",
       ":   40.9096629681964typesetters\n",
       ":   45.860292801881bookbinders\n",
       ":   37.6188990764084\n",
       "\n"
      ],
      "text/plain": [
       "       gov.administrators          general.managers               accountants \n",
       "                 62.91954                 102.10744                  53.99740 \n",
       "      purchasing.officers                  chemists                physicists \n",
       "                 52.82130                  51.48298                  59.09287 \n",
       "               biologists                architects           civil.engineers \n",
       "                 51.06294                  68.16854                  60.09806 \n",
       "         mining.engineers                 surveyors               draughtsmen \n",
       "                 59.07259                  44.23809                  47.58968 \n",
       "      computer.programers                economists             psychologists \n",
       "                 51.54671                  50.45751                  48.59197 \n",
       "           social.workers                   lawyers                librarians \n",
       "                 45.49530                  82.94222                  44.84641 \n",
       "   vocational.counsellors                 ministers       university.teachers \n",
       "                 54.93017                  40.71558                  63.29323 \n",
       "  primary.school.teachers secondary.school.teachers                physicians \n",
       "                 43.50230                  50.41406                 100.45337 \n",
       "            veterinarians  osteopaths.chiropractors                    nurses \n",
       "                 69.31278                  77.82937                  40.50701 \n",
       "            nursing.aides          physio.therapsts               pharmacists \n",
       "                 37.23652                  41.89168                  57.36059 \n",
       "      medical.technicians        commercial.artists       radio.tv.announcers \n",
       "                 42.14660                  45.09264                  49.04677 \n",
       "                 athletes               secretaries                   typists \n",
       "                 50.91231                  38.83266                  36.26030 \n",
       "              bookkeepers          tellers.cashiers        computer.operators \n",
       "                 39.73646                  34.23254                  39.68432 \n",
       "          shipping.clerks               file.clerks              receptionsts \n",
       "                 40.93284                  35.87792                  35.54479 \n",
       "            mail.carriers             postal.clerks       telephone.operators \n",
       "                 43.10544                  37.97231                  36.29796 \n",
       "               collectors           claim.adjustors             travel.clerks \n",
       "                 40.87490                  41.77581                  45.27224 \n",
       "            office.clerks         sales.supervisors     commercial.travellers \n",
       "                 38.94563                  48.81503                  52.57507 \n",
       "             sales.clerks                  newsboys service.station.attendant \n",
       "                 34.65547                  29.80044                  34.00659 \n",
       "         insurance.agents      real.estate.salesmen                    buyers \n",
       "                 50.69505                  47.39560                  50.18811 \n",
       "             firefighters                 policemen                     cooks \n",
       "                 52.90821                  52.89662                  36.16760 \n",
       "               bartenders         funeral.directors               babysitters \n",
       "                 38.52560                  49.93609                  28.91112 \n",
       "               launderers                  janitors        elevator.operators \n",
       "                 35.83157                  37.19886                  37.51751 \n",
       "                  farmers              farm.workers      rotary.well.drillers \n",
       "                 37.69422                  31.93828                  47.01322 \n",
       "                   bakers            slaughterers.1            slaughterers.2 \n",
       "                 39.30484                  42.01334                  42.01334 \n",
       "                  canners           textile.weavers         textile.labourers \n",
       "                 32.61613                  40.01166                  37.23652 \n",
       "          tool.die.makers                machinists       sheet.metal.workers \n",
       "                 50.44013                  46.50918                  46.15866 \n",
       "                  welders              auto.workers          aircraft.workers \n",
       "                 45.90374                  43.97448                  46.18184 \n",
       "       electronic.workers        radio.tv.repairmen     sewing.mach.operators \n",
       "                 38.56036                  42.92584                  35.38836 \n",
       "           auto.repairmen        aircraft.repairmen        railway.sectionmen \n",
       "                 43.92813                  49.49288                  40.74455 \n",
       "       electrical.linemen              electricians      construction.foremen \n",
       "                 51.23096                  47.84460                  52.86475 \n",
       "               carpenters                    masons            house.painters \n",
       "                 42.49132                  44.40320                  40.31872 \n",
       "                 plumbers    construction.labourers                    pilots \n",
       "                 47.21020                  38.46766                  67.78906 \n",
       "          train.engineers               bus.drivers              taxi.drivers \n",
       "                 52.76337                  43.25317                  39.37726 \n",
       "             longshoremen               typesetters               bookbinders \n",
       "                 40.90966                  45.86029                  37.61890 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict(srm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>gov.administrators</dt>\n",
       "\t\t<dd>5.88045670627075</dd>\n",
       "\t<dt>general.managers</dt>\n",
       "\t\t<dd>-33.0074428783313</dd>\n",
       "\t<dt>accountants</dt>\n",
       "\t\t<dd>9.40259824386501</dd>\n",
       "\t<dt>purchasing.officers</dt>\n",
       "\t\t<dd>3.97869871927516</dd>\n",
       "\t<dt>chemists</dt>\n",
       "\t\t<dd>22.0170199499143</dd>\n",
       "\t<dt>physicists</dt>\n",
       "\t\t<dd>18.5071284501545</dd>\n",
       "\t<dt>biologists</dt>\n",
       "\t\t<dd>21.5370558339893</dd>\n",
       "\t<dt>architects</dt>\n",
       "\t\t<dd>9.93145655493288</dd>\n",
       "\t<dt>civil.engineers</dt>\n",
       "\t\t<dd>13.0019391275749</dd>\n",
       "\t<dt>mining.engineers</dt>\n",
       "\t\t<dd>9.72740604455816</dd>\n",
       "\t<dt>surveyors</dt>\n",
       "\t\t<dd>17.7619147504088</dd>\n",
       "\t<dt>draughtsmen</dt>\n",
       "\t\t<dd>12.41031807541</dd>\n",
       "\t<dt>computer.programers</dt>\n",
       "\t\t<dd>2.2532903675029</dd>\n",
       "\t<dt>economists</dt>\n",
       "\t\t<dd>11.7424868668975</dd>\n",
       "\t<dt>psychologists</dt>\n",
       "\t\t<dd>26.3080255520309</dd>\n",
       "\t<dt>social.workers</dt>\n",
       "\t\t<dd>9.60470389738418</dd>\n",
       "\t<dt>lawyers</dt>\n",
       "\t\t<dd>-0.642219367706901</dd>\n",
       "\t<dt>librarians</dt>\n",
       "\t\t<dd>13.2535869183001</dd>\n",
       "\t<dt>vocational.counsellors</dt>\n",
       "\t\t<dd>3.36982890129834</dd>\n",
       "\t<dt>ministers</dt>\n",
       "\t\t<dd>32.0844225782382</dd>\n",
       "\t<dt>university.teachers</dt>\n",
       "\t\t<dd>21.306769609404</dd>\n",
       "\t<dt>primary.school.teachers</dt>\n",
       "\t\t<dd>16.0977017473403</dd>\n",
       "\t<dt>secondary.school.teachers</dt>\n",
       "\t\t<dd>15.6859388549053</dd>\n",
       "\t<dt>physicians</dt>\n",
       "\t\t<dd>-13.2533705348358</dd>\n",
       "\t<dt>veterinarians</dt>\n",
       "\t\t<dd>-2.61277912927157</dd>\n",
       "\t<dt>osteopaths.chiropractors</dt>\n",
       "\t\t<dd>-9.42936877879332</dd>\n",
       "\t<dt>nurses</dt>\n",
       "\t\t<dd>24.1929921206755</dd>\n",
       "\t<dt>nursing.aides</dt>\n",
       "\t\t<dd>-2.33652158194013</dd>\n",
       "\t<dt>physio.therapsts</dt>\n",
       "\t\t<dd>30.2083221028281</dd>\n",
       "\t<dt>pharmacists</dt>\n",
       "\t\t<dd>11.9394143720641</dd>\n",
       "\t<dt>medical.technicians</dt>\n",
       "\t\t<dd>25.3534037731825</dd>\n",
       "\t<dt>commercial.artists</dt>\n",
       "\t\t<dd>12.1073589862561</dd>\n",
       "\t<dt>radio.tv.announcers</dt>\n",
       "\t\t<dd>8.5532280775496</dd>\n",
       "\t<dt>athletes</dt>\n",
       "\t\t<dd>3.18768939241626</dd>\n",
       "\t<dt>secretaries</dt>\n",
       "\t\t<dd>7.16734205857467</dd>\n",
       "\t<dt>typists</dt>\n",
       "\t\t<dd>5.63969974863431</dd>\n",
       "\t<dt>bookkeepers</dt>\n",
       "\t\t<dd>9.66354070801318</dd>\n",
       "\t<dt>tellers.cashiers</dt>\n",
       "\t\t<dd>8.06745918899663</dd>\n",
       "\t<dt>computer.operators</dt>\n",
       "\t\t<dd>8.0156830936225</dd>\n",
       "\t<dt>shipping.clerks</dt>\n",
       "\t\t<dd>-10.0328373618006</dd>\n",
       "\t<dt>file.clerks</dt>\n",
       "\t\t<dd>-3.17792275689737</dd>\n",
       "\t<dt>receptionsts</dt>\n",
       "\t\t<dd>3.15520915116216</dd>\n",
       "\t<dt>mail.carriers</dt>\n",
       "\t\t<dd>-7.00543676218879</dd>\n",
       "\t<dt>postal.clerks</dt>\n",
       "\t\t<dd>-0.772308578871595</dd>\n",
       "\t<dt>telephone.operators</dt>\n",
       "\t\t<dd>1.80204135902758</dd>\n",
       "\t<dt>collectors</dt>\n",
       "\t\t<dd>-11.4749013777902</dd>\n",
       "\t<dt>claim.adjustors</dt>\n",
       "\t\t<dd>9.32419407084879</dd>\n",
       "\t<dt>travel.clerks</dt>\n",
       "\t\t<dd>-9.57224256417596</dd>\n",
       "\t<dt>office.clerks</dt>\n",
       "\t\t<dd>-3.34563311024551</dd>\n",
       "\t<dt>sales.supervisors</dt>\n",
       "\t\t<dd>-7.31502798640899</dd>\n",
       "\t<dt>commercial.travellers</dt>\n",
       "\t\t<dd>-12.3750733486808</dd>\n",
       "\t<dt>sales.clerks</dt>\n",
       "\t\t<dd>-8.15547349427894</dd>\n",
       "\t<dt>newsboys</dt>\n",
       "\t\t<dd>-15.0004380342114</dd>\n",
       "\t<dt>service.station.attendant</dt>\n",
       "\t\t<dd>-10.706590473363</dd>\n",
       "\t<dt>insurance.agents</dt>\n",
       "\t\t<dd>-3.39505066754492</dd>\n",
       "\t<dt>real.estate.salesmen</dt>\n",
       "\t\t<dd>-0.295596378155365</dd>\n",
       "\t<dt>buyers</dt>\n",
       "\t\t<dd>0.911889192545663</dd>\n",
       "\t<dt>firefighters</dt>\n",
       "\t\t<dd>-9.40820525674037</dd>\n",
       "\t<dt>policemen</dt>\n",
       "\t\t<dd>-1.2966180599383</dd>\n",
       "\t<dt>cooks</dt>\n",
       "\t\t<dd>-6.46760267694913</dd>\n",
       "\t<dt>bartenders</dt>\n",
       "\t\t<dd>-18.3255972261705</dd>\n",
       "\t<dt>funeral.directors</dt>\n",
       "\t\t<dd>4.96391072299069</dd>\n",
       "\t<dt>babysitters</dt>\n",
       "\t\t<dd>-3.01112067965253</dd>\n",
       "\t<dt>launderers</dt>\n",
       "\t\t<dd>-15.0315739696891</dd>\n",
       "\t<dt>janitors</dt>\n",
       "\t\t<dd>-19.8988631923334</dd>\n",
       "\t<dt>elevator.operators</dt>\n",
       "\t\t<dd>-17.4175111043903</dd>\n",
       "\t<dt>farmers</dt>\n",
       "\t\t<dd>6.40578414437809</dd>\n",
       "\t<dt>farm.workers</dt>\n",
       "\t\t<dd>-10.4382758441934</dd>\n",
       "\t<dt>rotary.well.drillers</dt>\n",
       "\t\t<dd>-11.713218883687</dd>\n",
       "\t<dt>bakers</dt>\n",
       "\t\t<dd>-0.404836211109698</dd>\n",
       "\t<dt>slaughterers.1</dt>\n",
       "\t\t<dd>-16.8133434635937</dd>\n",
       "\t<dt>slaughterers.2</dt>\n",
       "\t\t<dd>-7.21334346359366</dd>\n",
       "\t<dt>canners</dt>\n",
       "\t\t<dd>-9.41612685711455</dd>\n",
       "\t<dt>textile.weavers</dt>\n",
       "\t\t<dd>-6.71165521603599</dd>\n",
       "\t<dt>textile.labourers</dt>\n",
       "\t\t<dd>-8.43652158194013</dd>\n",
       "\t<dt>tool.die.makers</dt>\n",
       "\t\t<dd>-7.94013233789937</dd>\n",
       "\t<dt>machinists</dt>\n",
       "\t\t<dd>-2.30917582279698</dd>\n",
       "\t<dt>sheet.metal.workers</dt>\n",
       "\t\t<dd>-10.2586631195344</dd>\n",
       "\t<dt>welders</dt>\n",
       "\t\t<dd>-4.1037447898888</dd>\n",
       "\t<dt>auto.workers</dt>\n",
       "\t\t<dd>-8.07447652234408</dd>\n",
       "\t<dt>aircraft.workers</dt>\n",
       "\t\t<dd>-2.48183751313849</dd>\n",
       "\t<dt>electronic.workers</dt>\n",
       "\t\t<dd>12.2396411834233</dd>\n",
       "\t<dt>radio.tv.repairmen</dt>\n",
       "\t\t<dd>-5.7258352117567</dd>\n",
       "\t<dt>sewing.mach.operators</dt>\n",
       "\t\t<dd>-7.18836369200989</dd>\n",
       "\t<dt>auto.repairmen</dt>\n",
       "\t\t<dd>-5.82812773513579</dd>\n",
       "\t<dt>aircraft.repairmen</dt>\n",
       "\t\t<dd>0.807121000669884</dd>\n",
       "\t<dt>railway.sectionmen</dt>\n",
       "\t\t<dd>-13.4445454137669</dd>\n",
       "\t<dt>electrical.linemen</dt>\n",
       "\t\t<dd>-10.3309585196407</dd>\n",
       "\t<dt>electricians</dt>\n",
       "\t\t<dd>2.35539974576441</dd>\n",
       "\t<dt>construction.foremen</dt>\n",
       "\t\t<dd>-1.7647532687326</dd>\n",
       "\t<dt>carpenters</dt>\n",
       "\t\t<dd>-3.59131533167906</dd>\n",
       "\t<dt>masons</dt>\n",
       "\t\t<dd>-8.20320280402068</dd>\n",
       "\t<dt>house.painters</dt>\n",
       "\t\t<dd>-10.4187159312909</dd>\n",
       "\t<dt>plumbers</dt>\n",
       "\t\t<dd>-4.31020122932224</dd>\n",
       "\t<dt>construction.labourers</dt>\n",
       "\t\t<dd>-11.9676612421601</dd>\n",
       "\t<dt>pilots</dt>\n",
       "\t\t<dd>-1.68906274979931</dd>\n",
       "\t<dt>train.engineers</dt>\n",
       "\t\t<dd>-3.86336529671449</dd>\n",
       "\t<dt>bus.drivers</dt>\n",
       "\t\t<dd>-7.35317352141519</dd>\n",
       "\t<dt>taxi.drivers</dt>\n",
       "\t\t<dd>-14.2772561911226</dd>\n",
       "\t<dt>longshoremen</dt>\n",
       "\t\t<dd>-14.8096629681964</dd>\n",
       "\t<dt>typesetters</dt>\n",
       "\t\t<dd>-3.66029280188103</dd>\n",
       "\t<dt>bookbinders</dt>\n",
       "\t\t<dd>-2.41889907640845</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[gov.administrators] 5.88045670627075\n",
       "\\item[general.managers] -33.0074428783313\n",
       "\\item[accountants] 9.40259824386501\n",
       "\\item[purchasing.officers] 3.97869871927516\n",
       "\\item[chemists] 22.0170199499143\n",
       "\\item[physicists] 18.5071284501545\n",
       "\\item[biologists] 21.5370558339893\n",
       "\\item[architects] 9.93145655493288\n",
       "\\item[civil.engineers] 13.0019391275749\n",
       "\\item[mining.engineers] 9.72740604455816\n",
       "\\item[surveyors] 17.7619147504088\n",
       "\\item[draughtsmen] 12.41031807541\n",
       "\\item[computer.programers] 2.2532903675029\n",
       "\\item[economists] 11.7424868668975\n",
       "\\item[psychologists] 26.3080255520309\n",
       "\\item[social.workers] 9.60470389738418\n",
       "\\item[lawyers] -0.642219367706901\n",
       "\\item[librarians] 13.2535869183001\n",
       "\\item[vocational.counsellors] 3.36982890129834\n",
       "\\item[ministers] 32.0844225782382\n",
       "\\item[university.teachers] 21.306769609404\n",
       "\\item[primary.school.teachers] 16.0977017473403\n",
       "\\item[secondary.school.teachers] 15.6859388549053\n",
       "\\item[physicians] -13.2533705348358\n",
       "\\item[veterinarians] -2.61277912927157\n",
       "\\item[osteopaths.chiropractors] -9.42936877879332\n",
       "\\item[nurses] 24.1929921206755\n",
       "\\item[nursing.aides] -2.33652158194013\n",
       "\\item[physio.therapsts] 30.2083221028281\n",
       "\\item[pharmacists] 11.9394143720641\n",
       "\\item[medical.technicians] 25.3534037731825\n",
       "\\item[commercial.artists] 12.1073589862561\n",
       "\\item[radio.tv.announcers] 8.5532280775496\n",
       "\\item[athletes] 3.18768939241626\n",
       "\\item[secretaries] 7.16734205857467\n",
       "\\item[typists] 5.63969974863431\n",
       "\\item[bookkeepers] 9.66354070801318\n",
       "\\item[tellers.cashiers] 8.06745918899663\n",
       "\\item[computer.operators] 8.0156830936225\n",
       "\\item[shipping.clerks] -10.0328373618006\n",
       "\\item[file.clerks] -3.17792275689737\n",
       "\\item[receptionsts] 3.15520915116216\n",
       "\\item[mail.carriers] -7.00543676218879\n",
       "\\item[postal.clerks] -0.772308578871595\n",
       "\\item[telephone.operators] 1.80204135902758\n",
       "\\item[collectors] -11.4749013777902\n",
       "\\item[claim.adjustors] 9.32419407084879\n",
       "\\item[travel.clerks] -9.57224256417596\n",
       "\\item[office.clerks] -3.34563311024551\n",
       "\\item[sales.supervisors] -7.31502798640899\n",
       "\\item[commercial.travellers] -12.3750733486808\n",
       "\\item[sales.clerks] -8.15547349427894\n",
       "\\item[newsboys] -15.0004380342114\n",
       "\\item[service.station.attendant] -10.706590473363\n",
       "\\item[insurance.agents] -3.39505066754492\n",
       "\\item[real.estate.salesmen] -0.295596378155365\n",
       "\\item[buyers] 0.911889192545663\n",
       "\\item[firefighters] -9.40820525674037\n",
       "\\item[policemen] -1.2966180599383\n",
       "\\item[cooks] -6.46760267694913\n",
       "\\item[bartenders] -18.3255972261705\n",
       "\\item[funeral.directors] 4.96391072299069\n",
       "\\item[babysitters] -3.01112067965253\n",
       "\\item[launderers] -15.0315739696891\n",
       "\\item[janitors] -19.8988631923334\n",
       "\\item[elevator.operators] -17.4175111043903\n",
       "\\item[farmers] 6.40578414437809\n",
       "\\item[farm.workers] -10.4382758441934\n",
       "\\item[rotary.well.drillers] -11.713218883687\n",
       "\\item[bakers] -0.404836211109698\n",
       "\\item[slaughterers.1] -16.8133434635937\n",
       "\\item[slaughterers.2] -7.21334346359366\n",
       "\\item[canners] -9.41612685711455\n",
       "\\item[textile.weavers] -6.71165521603599\n",
       "\\item[textile.labourers] -8.43652158194013\n",
       "\\item[tool.die.makers] -7.94013233789937\n",
       "\\item[machinists] -2.30917582279698\n",
       "\\item[sheet.metal.workers] -10.2586631195344\n",
       "\\item[welders] -4.1037447898888\n",
       "\\item[auto.workers] -8.07447652234408\n",
       "\\item[aircraft.workers] -2.48183751313849\n",
       "\\item[electronic.workers] 12.2396411834233\n",
       "\\item[radio.tv.repairmen] -5.7258352117567\n",
       "\\item[sewing.mach.operators] -7.18836369200989\n",
       "\\item[auto.repairmen] -5.82812773513579\n",
       "\\item[aircraft.repairmen] 0.807121000669884\n",
       "\\item[railway.sectionmen] -13.4445454137669\n",
       "\\item[electrical.linemen] -10.3309585196407\n",
       "\\item[electricians] 2.35539974576441\n",
       "\\item[construction.foremen] -1.7647532687326\n",
       "\\item[carpenters] -3.59131533167906\n",
       "\\item[masons] -8.20320280402068\n",
       "\\item[house.painters] -10.4187159312909\n",
       "\\item[plumbers] -4.31020122932224\n",
       "\\item[construction.labourers] -11.9676612421601\n",
       "\\item[pilots] -1.68906274979931\n",
       "\\item[train.engineers] -3.86336529671449\n",
       "\\item[bus.drivers] -7.35317352141519\n",
       "\\item[taxi.drivers] -14.2772561911226\n",
       "\\item[longshoremen] -14.8096629681964\n",
       "\\item[typesetters] -3.66029280188103\n",
       "\\item[bookbinders] -2.41889907640845\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "gov.administrators\n",
       ":   5.88045670627075general.managers\n",
       ":   -33.0074428783313accountants\n",
       ":   9.40259824386501purchasing.officers\n",
       ":   3.97869871927516chemists\n",
       ":   22.0170199499143physicists\n",
       ":   18.5071284501545biologists\n",
       ":   21.5370558339893architects\n",
       ":   9.93145655493288civil.engineers\n",
       ":   13.0019391275749mining.engineers\n",
       ":   9.72740604455816surveyors\n",
       ":   17.7619147504088draughtsmen\n",
       ":   12.41031807541computer.programers\n",
       ":   2.2532903675029economists\n",
       ":   11.7424868668975psychologists\n",
       ":   26.3080255520309social.workers\n",
       ":   9.60470389738418lawyers\n",
       ":   -0.642219367706901librarians\n",
       ":   13.2535869183001vocational.counsellors\n",
       ":   3.36982890129834ministers\n",
       ":   32.0844225782382university.teachers\n",
       ":   21.306769609404primary.school.teachers\n",
       ":   16.0977017473403secondary.school.teachers\n",
       ":   15.6859388549053physicians\n",
       ":   -13.2533705348358veterinarians\n",
       ":   -2.61277912927157osteopaths.chiropractors\n",
       ":   -9.42936877879332nurses\n",
       ":   24.1929921206755nursing.aides\n",
       ":   -2.33652158194013physio.therapsts\n",
       ":   30.2083221028281pharmacists\n",
       ":   11.9394143720641medical.technicians\n",
       ":   25.3534037731825commercial.artists\n",
       ":   12.1073589862561radio.tv.announcers\n",
       ":   8.5532280775496athletes\n",
       ":   3.18768939241626secretaries\n",
       ":   7.16734205857467typists\n",
       ":   5.63969974863431bookkeepers\n",
       ":   9.66354070801318tellers.cashiers\n",
       ":   8.06745918899663computer.operators\n",
       ":   8.0156830936225shipping.clerks\n",
       ":   -10.0328373618006file.clerks\n",
       ":   -3.17792275689737receptionsts\n",
       ":   3.15520915116216mail.carriers\n",
       ":   -7.00543676218879postal.clerks\n",
       ":   -0.772308578871595telephone.operators\n",
       ":   1.80204135902758collectors\n",
       ":   -11.4749013777902claim.adjustors\n",
       ":   9.32419407084879travel.clerks\n",
       ":   -9.57224256417596office.clerks\n",
       ":   -3.34563311024551sales.supervisors\n",
       ":   -7.31502798640899commercial.travellers\n",
       ":   -12.3750733486808sales.clerks\n",
       ":   -8.15547349427894newsboys\n",
       ":   -15.0004380342114service.station.attendant\n",
       ":   -10.706590473363insurance.agents\n",
       ":   -3.39505066754492real.estate.salesmen\n",
       ":   -0.295596378155365buyers\n",
       ":   0.911889192545663firefighters\n",
       ":   -9.40820525674037policemen\n",
       ":   -1.2966180599383cooks\n",
       ":   -6.46760267694913bartenders\n",
       ":   -18.3255972261705funeral.directors\n",
       ":   4.96391072299069babysitters\n",
       ":   -3.01112067965253launderers\n",
       ":   -15.0315739696891janitors\n",
       ":   -19.8988631923334elevator.operators\n",
       ":   -17.4175111043903farmers\n",
       ":   6.40578414437809farm.workers\n",
       ":   -10.4382758441934rotary.well.drillers\n",
       ":   -11.713218883687bakers\n",
       ":   -0.404836211109698slaughterers.1\n",
       ":   -16.8133434635937slaughterers.2\n",
       ":   -7.21334346359366canners\n",
       ":   -9.41612685711455textile.weavers\n",
       ":   -6.71165521603599textile.labourers\n",
       ":   -8.43652158194013tool.die.makers\n",
       ":   -7.94013233789937machinists\n",
       ":   -2.30917582279698sheet.metal.workers\n",
       ":   -10.2586631195344welders\n",
       ":   -4.1037447898888auto.workers\n",
       ":   -8.07447652234408aircraft.workers\n",
       ":   -2.48183751313849electronic.workers\n",
       ":   12.2396411834233radio.tv.repairmen\n",
       ":   -5.7258352117567sewing.mach.operators\n",
       ":   -7.18836369200989auto.repairmen\n",
       ":   -5.82812773513579aircraft.repairmen\n",
       ":   0.807121000669884railway.sectionmen\n",
       ":   -13.4445454137669electrical.linemen\n",
       ":   -10.3309585196407electricians\n",
       ":   2.35539974576441construction.foremen\n",
       ":   -1.7647532687326carpenters\n",
       ":   -3.59131533167906masons\n",
       ":   -8.20320280402068house.painters\n",
       ":   -10.4187159312909plumbers\n",
       ":   -4.31020122932224construction.labourers\n",
       ":   -11.9676612421601pilots\n",
       ":   -1.68906274979931train.engineers\n",
       ":   -3.86336529671449bus.drivers\n",
       ":   -7.35317352141519taxi.drivers\n",
       ":   -14.2772561911226longshoremen\n",
       ":   -14.8096629681964typesetters\n",
       ":   -3.66029280188103bookbinders\n",
       ":   -2.41889907640845\n",
       "\n"
      ],
      "text/plain": [
       "       gov.administrators          general.managers               accountants \n",
       "                5.8804567               -33.0074429                 9.4025982 \n",
       "      purchasing.officers                  chemists                physicists \n",
       "                3.9786987                22.0170199                18.5071285 \n",
       "               biologists                architects           civil.engineers \n",
       "               21.5370558                 9.9314566                13.0019391 \n",
       "         mining.engineers                 surveyors               draughtsmen \n",
       "                9.7274060                17.7619148                12.4103181 \n",
       "      computer.programers                economists             psychologists \n",
       "                2.2532904                11.7424869                26.3080256 \n",
       "           social.workers                   lawyers                librarians \n",
       "                9.6047039                -0.6422194                13.2535869 \n",
       "   vocational.counsellors                 ministers       university.teachers \n",
       "                3.3698289                32.0844226                21.3067696 \n",
       "  primary.school.teachers secondary.school.teachers                physicians \n",
       "               16.0977017                15.6859389               -13.2533705 \n",
       "            veterinarians  osteopaths.chiropractors                    nurses \n",
       "               -2.6127791                -9.4293688                24.1929921 \n",
       "            nursing.aides          physio.therapsts               pharmacists \n",
       "               -2.3365216                30.2083221                11.9394144 \n",
       "      medical.technicians        commercial.artists       radio.tv.announcers \n",
       "               25.3534038                12.1073590                 8.5532281 \n",
       "                 athletes               secretaries                   typists \n",
       "                3.1876894                 7.1673421                 5.6396997 \n",
       "              bookkeepers          tellers.cashiers        computer.operators \n",
       "                9.6635407                 8.0674592                 8.0156831 \n",
       "          shipping.clerks               file.clerks              receptionsts \n",
       "              -10.0328374                -3.1779228                 3.1552092 \n",
       "            mail.carriers             postal.clerks       telephone.operators \n",
       "               -7.0054368                -0.7723086                 1.8020414 \n",
       "               collectors           claim.adjustors             travel.clerks \n",
       "              -11.4749014                 9.3241941                -9.5722426 \n",
       "            office.clerks         sales.supervisors     commercial.travellers \n",
       "               -3.3456331                -7.3150280               -12.3750733 \n",
       "             sales.clerks                  newsboys service.station.attendant \n",
       "               -8.1554735               -15.0004380               -10.7065905 \n",
       "         insurance.agents      real.estate.salesmen                    buyers \n",
       "               -3.3950507                -0.2955964                 0.9118892 \n",
       "             firefighters                 policemen                     cooks \n",
       "               -9.4082053                -1.2966181                -6.4676027 \n",
       "               bartenders         funeral.directors               babysitters \n",
       "              -18.3255972                 4.9639107                -3.0111207 \n",
       "               launderers                  janitors        elevator.operators \n",
       "              -15.0315740               -19.8988632               -17.4175111 \n",
       "                  farmers              farm.workers      rotary.well.drillers \n",
       "                6.4057841               -10.4382758               -11.7132189 \n",
       "                   bakers            slaughterers.1            slaughterers.2 \n",
       "               -0.4048362               -16.8133435                -7.2133435 \n",
       "                  canners           textile.weavers         textile.labourers \n",
       "               -9.4161269                -6.7116552                -8.4365216 \n",
       "          tool.die.makers                machinists       sheet.metal.workers \n",
       "               -7.9401323                -2.3091758               -10.2586631 \n",
       "                  welders              auto.workers          aircraft.workers \n",
       "               -4.1037448                -8.0744765                -2.4818375 \n",
       "       electronic.workers        radio.tv.repairmen     sewing.mach.operators \n",
       "               12.2396412                -5.7258352                -7.1883637 \n",
       "           auto.repairmen        aircraft.repairmen        railway.sectionmen \n",
       "               -5.8281277                 0.8071210               -13.4445454 \n",
       "       electrical.linemen              electricians      construction.foremen \n",
       "              -10.3309585                 2.3553997                -1.7647533 \n",
       "               carpenters                    masons            house.painters \n",
       "               -3.5913153                -8.2032028               -10.4187159 \n",
       "                 plumbers    construction.labourers                    pilots \n",
       "               -4.3102012               -11.9676612                -1.6890627 \n",
       "          train.engineers               bus.drivers              taxi.drivers \n",
       "               -3.8633653                -7.3531735               -14.2772562 \n",
       "             longshoremen               typesetters               bookbinders \n",
       "              -14.8096630                -3.6602928                -2.4188991 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "residuals(srm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. \n",
       "-33.007  -8.378  -2.378   0.000   8.432  32.084 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(residuals(srm))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "全标准化回归系数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = scale(prestige) ~ scale(income), data = Prestige)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.9185 -0.4870 -0.1382  0.4901  1.8649 \n",
       "\n",
       "Coefficients:\n",
       "                Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)   -2.451e-16  6.958e-02    0.00        1    \n",
       "scale(income)  7.149e-01  6.992e-02   10.22   <2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.7027 on 100 degrees of freedom\n",
       "Multiple R-squared:  0.5111,\tAdjusted R-squared:  0.5062 \n",
       "F-statistic: 104.5 on 1 and 100 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(lm(scale(prestige) ~ scale(income), data=Prestige))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对x标准化的标准化回归系数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = prestige ~ scale(income), data = Prestige)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-33.007  -8.378  -2.378   8.432  32.084 \n",
       "\n",
       "Coefficients:\n",
       "              Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)     46.833      1.197   39.12   <2e-16 ***\n",
       "scale(income)   12.300      1.203   10.22   <2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 12.09 on 100 degrees of freedom\n",
       "Multiple R-squared:  0.5111,\tAdjusted R-squared:  0.5062 \n",
       "F-statistic: 104.5 on 1 and 100 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(lm(prestige ~ scale(income), data=Prestige))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对自变量进行对数变换后引入模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = prestige ~ log(income), data = Prestige)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-19.114  -9.342  -1.218   8.101  30.454 \n",
       "\n",
       "Coefficients:\n",
       "            Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept) -139.856     16.954  -8.249  6.6e-13 ***\n",
       "log(income)   21.556      1.953  11.037  < 2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 11.61 on 100 degrees of freedom\n",
       "Multiple R-squared:  0.5492,\tAdjusted R-squared:  0.5447 \n",
       "F-statistic: 121.8 on 1 and 100 DF,  p-value: < 2.2e-16\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(lm(prestige ~ log(income), data=Prestige))"
   ]
  }
 ],
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