Tweaked to have separate script for boilerplate
[ou-jupyter-r-demo.git] / section5.1solutions.ipynb
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "# Section 5.1 solutions"
8 ]
9 },
10 {
11 "cell_type": "markdown",
12 "metadata": {
13 "heading_collapsed": true
14 },
15 "source": [
16 "### Imports and defintions"
17 ]
18 },
19 {
20 "cell_type": "code",
21 "execution_count": null,
22 "metadata": {
23 "hidden": true,
24 "init_cell": true
25 },
26 "outputs": [],
27 "source": [
28 "library(tidyverse)\n",
29 "# library(cowplot)\n",
30 "library(repr)\n",
31 "library(ggfortify)\n",
32 "\n",
33 "# Change plot size to 4 x 3\n",
34 "options(repr.plot.width=6, repr.plot.height=4)"
35 ]
36 },
37 {
38 "cell_type": "code",
39 "execution_count": null,
40 "metadata": {
41 "init_cell": true
42 },
43 "outputs": [],
44 "source": [
45 "source('plot_extensions.R')"
46 ]
47 },
48 {
49 "cell_type": "markdown",
50 "metadata": {},
51 "source": [
52 "## Exercise 5.2"
53 ]
54 },
55 {
56 "cell_type": "markdown",
57 "metadata": {},
58 "source": [
59 "### Load the `cemheat` dataset."
60 ]
61 },
62 {
63 "cell_type": "code",
64 "execution_count": 4,
65 "metadata": {},
66 "outputs": [
67 {
68 "data": {
69 "text/html": [
70 "<table>\n",
71 "<thead><tr><th scope=col>heat</th><th scope=col>TA</th><th scope=col>TS</th></tr></thead>\n",
72 "<tbody>\n",
73 "\t<tr><td> 78.5</td><td> 7 </td><td>26 </td></tr>\n",
74 "\t<tr><td> 74.3</td><td> 1 </td><td>29 </td></tr>\n",
75 "\t<tr><td>104.3</td><td>11 </td><td>56 </td></tr>\n",
76 "\t<tr><td> 87.6</td><td>11 </td><td>31 </td></tr>\n",
77 "\t<tr><td> 95.9</td><td> 7 </td><td>52 </td></tr>\n",
78 "\t<tr><td>109.2</td><td>11 </td><td>55 </td></tr>\n",
79 "</tbody>\n",
80 "</table>\n"
81 ],
82 "text/latex": [
83 "\\begin{tabular}{r|lll}\n",
84 " heat & TA & TS\\\\\n",
85 "\\hline\n",
86 "\t 78.5 & 7 & 26 \\\\\n",
87 "\t 74.3 & 1 & 29 \\\\\n",
88 "\t 104.3 & 11 & 56 \\\\\n",
89 "\t 87.6 & 11 & 31 \\\\\n",
90 "\t 95.9 & 7 & 52 \\\\\n",
91 "\t 109.2 & 11 & 55 \\\\\n",
92 "\\end{tabular}\n"
93 ],
94 "text/markdown": [
95 "\n",
96 "heat | TA | TS | \n",
97 "|---|---|---|---|---|---|\n",
98 "| 78.5 | 7 | 26 | \n",
99 "| 74.3 | 1 | 29 | \n",
100 "| 104.3 | 11 | 56 | \n",
101 "| 87.6 | 11 | 31 | \n",
102 "| 95.9 | 7 | 52 | \n",
103 "| 109.2 | 11 | 55 | \n",
104 "\n",
105 "\n"
106 ],
107 "text/plain": [
108 " heat TA TS\n",
109 "1 78.5 7 26\n",
110 "2 74.3 1 29\n",
111 "3 104.3 11 56\n",
112 "4 87.6 11 31\n",
113 "5 95.9 7 52\n",
114 "6 109.2 11 55"
115 ]
116 },
117 "metadata": {},
118 "output_type": "display_data"
119 }
120 ],
121 "source": [
122 "cemheat <- read.csv('cemheat.csv')\n",
123 "head(cemheat)"
124 ]
125 },
126 {
127 "cell_type": "markdown",
128 "metadata": {},
129 "source": [
130 "### Make scatterplots of heat against each of TA and TS in turn, and comment on what you see."
131 ]
132 },
133 {
134 "cell_type": "code",
135 "execution_count": 5,
136 "metadata": {},
137 "outputs": [
138 {
139 "data": {
140 "image/png": 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BR67ohhWtCxIcsYWzlwX/YWQguCEdom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\nEBqEiv8H6pHUZe6MJNUAAAAASUVORK5CYII=",
141 "text/plain": [
142 "plot without title"
143 ]
144 },
145 "metadata": {},
146 "output_type": "display_data"
147 }
148 ],
149 "source": [
150 "taheat <- ggplot(cemheat, aes(x=TA, y=heat)) + geom_point()\n",
151 "tsheat <- ggplot(cemheat, aes(x=TS, y=heat)) + geom_point()\n",
152 "\n",
153 "multiplot(taheat, tsheat, cols=2)"
154 ]
155 },
156 {
157 "cell_type": "markdown",
158 "metadata": {},
159 "source": [
160 "Blah, blah, comment, blah."
161 ]
162 },
163 {
164 "cell_type": "markdown",
165 "metadata": {},
166 "source": [
167 "### Use GenStat to fit each individual regression equation (of heat on TA and of heat on TS) in turn, and then to fit the regression equation with two explanatory variables. Does the latter regression equation give you a better model than either of the individual ones?"
168 ]
169 },
170 {
171 "cell_type": "code",
172 "execution_count": 11,
173 "metadata": {},
174 "outputs": [
175 {
176 "data": {
177 "text/plain": [
178 "\n",
179 "Call:\n",
180 "lm(formula = heat ~ TA, data = cemheat)\n",
181 "\n",
182 "Residuals:\n",
183 " Min 1Q Median 3Q Max \n",
184 "-16.061 -9.048 1.339 7.883 15.614 \n",
185 "\n",
186 "Coefficients:\n",
187 " Estimate Std. Error t value Pr(>|t|) \n",
188 "(Intercept) 81.4793 4.9273 16.54 4.07e-09 ***\n",
189 "TA 1.8687 0.5264 3.55 0.00455 ** \n",
190 "---\n",
191 "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
192 "\n",
193 "Residual standard error: 10.73 on 11 degrees of freedom\n",
194 "Multiple R-squared: 0.5339,\tAdjusted R-squared: 0.4916 \n",
195 "F-statistic: 12.6 on 1 and 11 DF, p-value: 0.004552\n"
196 ]
197 },
198 "metadata": {},
199 "output_type": "display_data"
200 },
201 {
202 "data": {
203 "text/html": [
204 "<table>\n",
205 "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Sum Sq</th><th scope=col>Mean Sq</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr></thead>\n",
206 "<tbody>\n",
207 "\t<tr><th scope=row>TA</th><td> 1 </td><td>1450.076 </td><td>1450.0763 </td><td>12.60252 </td><td>0.004552045</td></tr>\n",
208 "\t<tr><th scope=row>Residuals</th><td>11 </td><td>1265.687 </td><td> 115.0624 </td><td> NA </td><td> NA</td></tr>\n",
209 "</tbody>\n",
210 "</table>\n"
211 ],
212 "text/latex": [
213 "\\begin{tabular}{r|lllll}\n",
214 " & Df & Sum Sq & Mean Sq & F value & Pr(>F)\\\\\n",
215 "\\hline\n",
216 "\tTA & 1 & 1450.076 & 1450.0763 & 12.60252 & 0.004552045\\\\\n",
217 "\tResiduals & 11 & 1265.687 & 115.0624 & NA & NA\\\\\n",
218 "\\end{tabular}\n"
219 ],
220 "text/markdown": [
221 "\n",
222 "| <!--/--> | Df | Sum Sq | Mean Sq | F value | Pr(>F) | \n",
223 "|---|---|\n",
224 "| TA | 1 | 1450.076 | 1450.0763 | 12.60252 | 0.004552045 | \n",
225 "| Residuals | 11 | 1265.687 | 115.0624 | NA | NA | \n",
226 "\n",
227 "\n"
228 ],
229 "text/plain": [
230 " Df Sum Sq Mean Sq F value Pr(>F) \n",
231 "TA 1 1450.076 1450.0763 12.60252 0.004552045\n",
232 "Residuals 11 1265.687 115.0624 NA NA"
233 ]
234 },
235 "metadata": {},
236 "output_type": "display_data"
237 }
238 ],
239 "source": [
240 "fit.ta <- lm(heat ~ TA, data = cemheat)\n",
241 "summary(fit.ta)\n",
242 "anova(fit.ta)"
243 ]
244 },
245 {
246 "cell_type": "code",
247 "execution_count": 12,
248 "metadata": {},
249 "outputs": [
250 {
251 "data": {},
252 "metadata": {},
253 "output_type": "display_data"
254 },
255 {
256 "data": {
257 "image/png": 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EDSSMaowUPgAAAASALJGzV4CBwAAAAJLdmjBg+BAwAAIEHV19e3tbXFu4roQOAA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\niBoAgChQbUrFYrHMmDGjoqIiLS3NZ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O\nwAEAABRH4AAAAIojcAAAAMUROAAAgOIIHAAAQHH/B94zCrYTNK6kAAAAAElFTkSuQmCC",
258 "text/plain": [
259 "plot without title"
260 ]
261 },
262 "metadata": {},
263 "output_type": "display_data"
264 }
265 ],
266 "source": [
267 "ggplotRegression(fit.ta)"
268 ]
269 },
270 {
271 "cell_type": "code",
272 "execution_count": 13,
273 "metadata": {},
274 "outputs": [
275 {
276 "data": {
277 "text/plain": [
278 "\n",
279 "Call:\n",
280 "lm(formula = heat ~ TS, data = cemheat)\n",
281 "\n",
282 "Residuals:\n",
283 " Min 1Q Median 3Q Max \n",
284 "-10.752 -6.008 -1.684 3.794 21.387 \n",
285 "\n",
286 "Coefficients:\n",
287 " Estimate Std. Error t value Pr(>|t|) \n",
288 "(Intercept) 57.4237 8.4906 6.763 3.1e-05 ***\n",
289 "TS 0.7891 0.1684 4.686 0.000665 ***\n",
290 "---\n",
291 "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
292 "\n",
293 "Residual standard error: 9.077 on 11 degrees of freedom\n",
294 "Multiple R-squared: 0.6663,\tAdjusted R-squared: 0.6359 \n",
295 "F-statistic: 21.96 on 1 and 11 DF, p-value: 0.0006648\n"
296 ]
297 },
298 "metadata": {},
299 "output_type": "display_data"
300 },
301 {
302 "data": {
303 "text/html": [
304 "<table>\n",
305 "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Sum Sq</th><th scope=col>Mean Sq</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr></thead>\n",
306 "<tbody>\n",
307 "\t<tr><th scope=row>TS</th><td> 1 </td><td>1809.4267 </td><td>1809.42673 </td><td>21.9606 </td><td>0.0006648249</td></tr>\n",
308 "\t<tr><th scope=row>Residuals</th><td>11 </td><td> 906.3363 </td><td> 82.39421 </td><td> NA </td><td> NA</td></tr>\n",
309 "</tbody>\n",
310 "</table>\n"
311 ],
312 "text/latex": [
313 "\\begin{tabular}{r|lllll}\n",
314 " & Df & Sum Sq & Mean Sq & F value & Pr(>F)\\\\\n",
315 "\\hline\n",
316 "\tTS & 1 & 1809.4267 & 1809.42673 & 21.9606 & 0.0006648249\\\\\n",
317 "\tResiduals & 11 & 906.3363 & 82.39421 & NA & NA\\\\\n",
318 "\\end{tabular}\n"
319 ],
320 "text/markdown": [
321 "\n",
322 "| <!--/--> | Df | Sum Sq | Mean Sq | F value | Pr(>F) | \n",
323 "|---|---|\n",
324 "| TS | 1 | 1809.4267 | 1809.42673 | 21.9606 | 0.0006648249 | \n",
325 "| Residuals | 11 | 906.3363 | 82.39421 | NA | NA | \n",
326 "\n",
327 "\n"
328 ],
329 "text/plain": [
330 " Df Sum Sq Mean Sq F value Pr(>F) \n",
331 "TS 1 1809.4267 1809.42673 21.9606 0.0006648249\n",
332 "Residuals 11 906.3363 82.39421 NA NA"
333 ]
334 },
335 "metadata": {},
336 "output_type": "display_data"
337 }
338 ],
339 "source": [
340 "fit.ts <- lm(heat ~ TS, data = cemheat)\n",
341 "summary(fit.ts)\n",
342 "anova(fit.ts)"
343 ]
344 },
345 {
346 "cell_type": "code",
347 "execution_count": 14,
348 "metadata": {},
349 "outputs": [
350 {
351 "data": {},
352 "metadata": {},
353 "output_type": "display_data"
354 },
355 {
356 "data": {
357 "image/png": 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QSbIBAIkqDBSCgUxrqEjkro33OsJDgceDxeEmxF1H5BVFZWEkIi8W3yfD4/4FZE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\nDgAAoDoCBwAAUB2BAwAAqO7/ANSL8e4KsAOwAAAAAElFTkSuQmCC",
358 "text/plain": [
359 "plot without title"
360 ]
361 },
362 "metadata": {},
363 "output_type": "display_data"
364 }
365 ],
366 "source": [
367 "ggplotRegression(fit.ts)"
368 ]
369 },
370 {
371 "cell_type": "code",
372 "execution_count": 15,
373 "metadata": {},
374 "outputs": [
375 {
376 "data": {
377 "text/plain": [
378 "\n",
379 "Call:\n",
380 "lm(formula = heat ~ TA + TS, data = cemheat)\n",
381 "\n",
382 "Residuals:\n",
383 " Min 1Q Median 3Q Max \n",
384 "-2.893 -1.574 -1.302 1.363 4.048 \n",
385 "\n",
386 "Coefficients:\n",
387 " Estimate Std. Error t value Pr(>|t|) \n",
388 "(Intercept) 52.57735 2.28617 23.00 5.46e-10 ***\n",
389 "TA 1.46831 0.12130 12.11 2.69e-07 ***\n",
390 "TS 0.66225 0.04585 14.44 5.03e-08 ***\n",
391 "---\n",
392 "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
393 "\n",
394 "Residual standard error: 2.406 on 10 degrees of freedom\n",
395 "Multiple R-squared: 0.9787,\tAdjusted R-squared: 0.9744 \n",
396 "F-statistic: 229.5 on 2 and 10 DF, p-value: 4.407e-09\n"
397 ]
398 },
399 "metadata": {},
400 "output_type": "display_data"
401 },
402 {
403 "data": {
404 "text/html": [
405 "<table>\n",
406 "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Sum Sq</th><th scope=col>Mean Sq</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr></thead>\n",
407 "<tbody>\n",
408 "\t<tr><th scope=row>TA</th><td> 1 </td><td>1450.07633 </td><td>1450.076328 </td><td>250.4256 </td><td>2.088092e-08</td></tr>\n",
409 "\t<tr><th scope=row>TS</th><td> 1 </td><td>1207.78227 </td><td>1207.782266 </td><td>208.5818 </td><td>5.028960e-08</td></tr>\n",
410 "\t<tr><th scope=row>Residuals</th><td>10 </td><td> 57.90448 </td><td> 5.790448 </td><td> NA </td><td> NA</td></tr>\n",
411 "</tbody>\n",
412 "</table>\n"
413 ],
414 "text/latex": [
415 "\\begin{tabular}{r|lllll}\n",
416 " & Df & Sum Sq & Mean Sq & F value & Pr(>F)\\\\\n",
417 "\\hline\n",
418 "\tTA & 1 & 1450.07633 & 1450.076328 & 250.4256 & 2.088092e-08\\\\\n",
419 "\tTS & 1 & 1207.78227 & 1207.782266 & 208.5818 & 5.028960e-08\\\\\n",
420 "\tResiduals & 10 & 57.90448 & 5.790448 & NA & NA\\\\\n",
421 "\\end{tabular}\n"
422 ],
423 "text/markdown": [
424 "\n",
425 "| <!--/--> | Df | Sum Sq | Mean Sq | F value | Pr(>F) | \n",
426 "|---|---|---|\n",
427 "| TA | 1 | 1450.07633 | 1450.076328 | 250.4256 | 2.088092e-08 | \n",
428 "| TS | 1 | 1207.78227 | 1207.782266 | 208.5818 | 5.028960e-08 | \n",
429 "| Residuals | 10 | 57.90448 | 5.790448 | NA | NA | \n",
430 "\n",
431 "\n"
432 ],
433 "text/plain": [
434 " Df Sum Sq Mean Sq F value Pr(>F) \n",
435 "TA 1 1450.07633 1450.076328 250.4256 2.088092e-08\n",
436 "TS 1 1207.78227 1207.782266 208.5818 5.028960e-08\n",
437 "Residuals 10 57.90448 5.790448 NA NA"
438 ]
439 },
440 "metadata": {},
441 "output_type": "display_data"
442 }
443 ],
444 "source": [
445 "fit.tats <- lm(heat ~ TA + TS, data = cemheat)\n",
446 "summary(fit.tats)\n",
447 "anova(fit.tats)"
448 ]
449 },
450 {
451 "cell_type": "markdown",
452 "metadata": {},
453 "source": [
454 "Now combine the results into one dataframe for easy comparison."
455 ]
456 },
457 {
458 "cell_type": "code",
459 "execution_count": 112,
460 "metadata": {},
461 "outputs": [
462 {
463 "data": {
464 "text/html": [
465 "<table>\n",
466 "<thead><tr><th scope=col>Vars</th><th scope=col>Adj.R.2</th></tr></thead>\n",
467 "<tbody>\n",
468 "\t<tr><td>TA </td><td>0.4915797</td></tr>\n",
469 "\t<tr><td>TS </td><td>0.6359290</td></tr>\n",
470 "\t<tr><td>TA, TS </td><td>0.9744140</td></tr>\n",
471 "</tbody>\n",
472 "</table>\n"
473 ],
474 "text/latex": [
475 "\\begin{tabular}{r|ll}\n",
476 " Vars & Adj.R.2\\\\\n",
477 "\\hline\n",
478 "\t TA & 0.4915797\\\\\n",
479 "\t TS & 0.6359290\\\\\n",
480 "\t TA, TS & 0.9744140\\\\\n",
481 "\\end{tabular}\n"
482 ],
483 "text/markdown": [
484 "\n",
485 "Vars | Adj.R.2 | \n",
486 "|---|---|---|\n",
487 "| TA | 0.4915797 | \n",
488 "| TS | 0.6359290 | \n",
489 "| TA, TS | 0.9744140 | \n",
490 "\n",
491 "\n"
492 ],
493 "text/plain": [
494 " Vars Adj.R.2 \n",
495 "1 TA 0.4915797\n",
496 "2 TS 0.6359290\n",
497 "3 TA, TS 0.9744140"
498 ]
499 },
500 "metadata": {},
501 "output_type": "display_data"
502 }
503 ],
504 "source": [
505 "fits <- list(fit.ta, fit.ts, fit.tats)\n",
506 "data.frame(\n",
507 " \"Vars\" = sapply(fits, function(x) toString(attr(summary(x)$terms, \"variables\")[-(1:2)]) ),\n",
508 " \"Adj R^2\" = sapply(fits, function(x) summary(x)$adj.r.squared)\n",
509 ")"
510 ]
511 },
512 {
513 "cell_type": "markdown",
514 "metadata": {},
515 "source": [
516 "### According to the regression equation with two explanatory variables fitted in part (b), what is the predicted value of heat when TA = 15 and TS = 55?"
517 ]
518 },
519 {
520 "cell_type": "code",
521 "execution_count": 113,
522 "metadata": {},
523 "outputs": [
524 {
525 "data": {
526 "text/html": [
527 "<strong>1:</strong> 111.025712035428"
528 ],
529 "text/latex": [
530 "\\textbf{1:} 111.025712035428"
531 ],
532 "text/markdown": [
533 "**1:** 111.025712035428"
534 ],
535 "text/plain": [
536 " 1 \n",
537 "111.0257 "
538 ]
539 },
540 "metadata": {},
541 "output_type": "display_data"
542 }
543 ],
544 "source": [
545 "predict(fit.tats, data.frame(\"TA\" = 15, \"TS\" = 55))"
546 ]
547 },
548 {
549 "cell_type": "markdown",
550 "metadata": {},
551 "source": [
552 "### By looking at the (default) composite residual plots, comment on the appropriateness of the fitted regression model."
553 ]
554 },
555 {
556 "cell_type": "code",
557 "execution_count": 114,
558 "metadata": {},
559 "outputs": [
560 {
561 "data": {},
562 "metadata": {},
563 "output_type": "display_data"
564 },
565 {
566 "data": {
567 "image/png": 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mNjZ8yYERERsXbtWn9/fwBAVlbW559//uDBg6NHj5q6dhDUQUmlUgBAdXW1mZnZ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CAQAAAADSQcIBAAAAANJBwgEAAAAA0kHC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\nAIDq/gIr0WrL2oVc2wAAAABJRU5ErkJggg==",
568 "text/plain": [
569 "plot without title"
570 ]
571 },
572 "metadata": {},
573 "output_type": "display_data"
574 }
575 ],
576 "source": [
577 "autoplot(fit.tats)"
578 ]
579 },
580 {
581 "cell_type": "markdown",
582 "metadata": {},
583 "source": [
584 "## Exercise 5.3: Fitting a quadratic regression model"
585 ]
586 },
587 {
588 "cell_type": "code",
589 "execution_count": 35,
590 "metadata": {},
591 "outputs": [
592 {
593 "data": {},
594 "metadata": {},
595 "output_type": "display_data"
596 },
597 {
598 "data": {
599 "image/png": 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600 "text/plain": [
601 "plot without title"
602 ]
603 },
604 "metadata": {},
605 "output_type": "display_data"
606 }
607 ],
608 "source": [
609 "anaerobic <- read.csv('anaerob.csv')\n",
610 "ggplot(anaerobic, aes(x=oxygen, y=ventil)) + geom_point()"
611 ]
612 },
613 {
614 "cell_type": "markdown",
615 "metadata": {},
616 "source": [
617 "### Using GenStat, perform the regression of expired ventilation (`ventil`) on oxygen uptake (`oxygen`). Are you at all surprised by how good this regression model seems?"
618 ]
619 },
620 {
621 "cell_type": "code",
622 "execution_count": 36,
623 "metadata": {},
624 "outputs": [
625 {
626 "data": {
627 "text/plain": [
628 "\n",
629 "Call:\n",
630 "lm(formula = ventil ~ oxygen, data = anaerobic)\n",
631 "\n",
632 "Residuals:\n",
633 " Min 1Q Median 3Q Max \n",
634 "-15.502 -9.716 -3.391 7.881 26.446 \n",
635 "\n",
636 "Coefficients:\n",
637 " Estimate Std. Error t value Pr(>|t|) \n",
638 "(Intercept) -18.448734 3.815196 -4.836 1.26e-05 ***\n",
639 "oxygen 0.031141 0.001355 22.987 < 2e-16 ***\n",
640 "---\n",
641 "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
642 "\n",
643 "Residual standard error: 11.96 on 51 degrees of freedom\n",
644 "Multiple R-squared: 0.912,\tAdjusted R-squared: 0.9103 \n",
645 "F-statistic: 528.4 on 1 and 51 DF, p-value: < 2.2e-16\n"
646 ]
647 },
648 "metadata": {},
649 "output_type": "display_data"
650 },
651 {
652 "data": {
653 "text/html": [
654 "<table>\n",
655 "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Sum Sq</th><th scope=col>Mean Sq</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr></thead>\n",
656 "<tbody>\n",
657 "\t<tr><th scope=row>oxygen</th><td> 1 </td><td>75555.216 </td><td>75555.2158 </td><td>528.403 </td><td>1.419964e-28</td></tr>\n",
658 "\t<tr><th scope=row>Residuals</th><td>51 </td><td> 7292.381 </td><td> 142.9879 </td><td> NA </td><td> NA</td></tr>\n",
659 "</tbody>\n",
660 "</table>\n"
661 ],
662 "text/latex": [
663 "\\begin{tabular}{r|lllll}\n",
664 " & Df & Sum Sq & Mean Sq & F value & Pr(>F)\\\\\n",
665 "\\hline\n",
666 "\toxygen & 1 & 75555.216 & 75555.2158 & 528.403 & 1.419964e-28\\\\\n",
667 "\tResiduals & 51 & 7292.381 & 142.9879 & NA & NA\\\\\n",
668 "\\end{tabular}\n"
669 ],
670 "text/markdown": [
671 "\n",
672 "| <!--/--> | Df | Sum Sq | Mean Sq | F value | Pr(>F) | \n",
673 "|---|---|\n",
674 "| oxygen | 1 | 75555.216 | 75555.2158 | 528.403 | 1.419964e-28 | \n",
675 "| Residuals | 51 | 7292.381 | 142.9879 | NA | NA | \n",
676 "\n",
677 "\n"
678 ],
679 "text/plain": [
680 " Df Sum Sq Mean Sq F value Pr(>F) \n",
681 "oxygen 1 75555.216 75555.2158 528.403 1.419964e-28\n",
682 "Residuals 51 7292.381 142.9879 NA NA"
683 ]
684 },
685 "metadata": {},
686 "output_type": "display_data"
687 }
688 ],
689 "source": [
690 "fit <- lm(ventil ~ oxygen, data = anaerobic)\n",
691 "summary(fit)\n",
692 "anova(fit)"
693 ]
694 },
695 {
696 "cell_type": "code",
697 "execution_count": 37,
698 "metadata": {},
699 "outputs": [
700 {
701 "data": {},
702 "metadata": {},
703 "output_type": "display_data"
704 },
705 {
706 "data": {
707 "image/png": 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HhTb5C5yPLxxx+Txm4UeuKJJ+y/afTF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\nAAAAAElFTkSuQmCC",
708 "text/plain": [
709 "plot without title"
710 ]
711 },
712 "metadata": {},
713 "output_type": "display_data"
714 }
715 ],
716 "source": [
717 "ggplotRegression(fit)"
718 ]
719 },
720 {
721 "cell_type": "code",
722 "execution_count": 38,
723 "metadata": {},
724 "outputs": [
725 {
726 "data": {},
727 "metadata": {},
728 "output_type": "display_data"
729 },
730 {
731 "data": {
732 "image/png": 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A0NhVvgYARZQkJCQkKCyruGDx9OocORm5tbVWhsbOzn57dp06Z6qQoICBAKhWvW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\nYII=",
733 "text/plain": [
734 "plot without title"
735 ]
736 },
737 "metadata": {},
738 "output_type": "display_data"
739 }
740 ],
741 "source": [
742 "autoplot(fit)"
743 ]
744 },
745 {
746 "cell_type": "markdown",
747 "metadata": {},
748 "source": [
749 "### Now form a new variable `oxy2`, say, by squaring oxygen.\n",
750 "(Create a new column in the `anearobic` dataframe which is `anaerobic$oxygen ^ 2`.) Perform the regression of `ventil` on `oxygen` and `oxy2`. Comment on the fit of this model according to the printed output (and with recourse to Figure 3.2 in Example 3.1)."
751 ]
752 },
753 {
754 "cell_type": "code",
755 "execution_count": 39,
756 "metadata": {},
757 "outputs": [
758 {
759 "data": {
760 "text/html": [
761 "<table>\n",
762 "<thead><tr><th scope=col>ventil</th><th scope=col>oxygen</th><th scope=col>oxy2</th></tr></thead>\n",
763 "<tbody>\n",
764 "\t<tr><td>21.9 </td><td>574 </td><td>329476</td></tr>\n",
765 "\t<tr><td>18.6 </td><td>592 </td><td>350464</td></tr>\n",
766 "\t<tr><td>18.6 </td><td>664 </td><td>440896</td></tr>\n",
767 "\t<tr><td>19.1 </td><td>667 </td><td>444889</td></tr>\n",
768 "\t<tr><td>19.2 </td><td>718 </td><td>515524</td></tr>\n",
769 "\t<tr><td>16.9 </td><td>770 </td><td>592900</td></tr>\n",
770 "</tbody>\n",
771 "</table>\n"
772 ],
773 "text/latex": [
774 "\\begin{tabular}{r|lll}\n",
775 " ventil & oxygen & oxy2\\\\\n",
776 "\\hline\n",
777 "\t 21.9 & 574 & 329476\\\\\n",
778 "\t 18.6 & 592 & 350464\\\\\n",
779 "\t 18.6 & 664 & 440896\\\\\n",
780 "\t 19.1 & 667 & 444889\\\\\n",
781 "\t 19.2 & 718 & 515524\\\\\n",
782 "\t 16.9 & 770 & 592900\\\\\n",
783 "\\end{tabular}\n"
784 ],
785 "text/markdown": [
786 "\n",
787 "ventil | oxygen | oxy2 | \n",
788 "|---|---|---|---|---|---|\n",
789 "| 21.9 | 574 | 329476 | \n",
790 "| 18.6 | 592 | 350464 | \n",
791 "| 18.6 | 664 | 440896 | \n",
792 "| 19.1 | 667 | 444889 | \n",
793 "| 19.2 | 718 | 515524 | \n",
794 "| 16.9 | 770 | 592900 | \n",
795 "\n",
796 "\n"
797 ],
798 "text/plain": [
799 " ventil oxygen oxy2 \n",
800 "1 21.9 574 329476\n",
801 "2 18.6 592 350464\n",
802 "3 18.6 664 440896\n",
803 "4 19.1 667 444889\n",
804 "5 19.2 718 515524\n",
805 "6 16.9 770 592900"
806 ]
807 },
808 "metadata": {},
809 "output_type": "display_data"
810 }
811 ],
812 "source": [
813 "anaerobic$oxy2 <- anaerobic$oxygen^2\n",
814 "head(anaerobic)"
815 ]
816 },
817 {
818 "cell_type": "code",
819 "execution_count": 40,
820 "metadata": {},
821 "outputs": [
822 {
823 "data": {
824 "text/plain": [
825 "\n",
826 "Call:\n",
827 "lm(formula = ventil ~ oxygen + oxy2, data = anaerobic)\n",
828 "\n",
829 "Residuals:\n",
830 " Min 1Q Median 3Q Max \n",
831 "-9.4713 -1.3675 -0.4201 2.1925 7.7817 \n",
832 "\n",
833 "Coefficients:\n",
834 " Estimate Std. Error t value Pr(>|t|) \n",
835 "(Intercept) 2.427e+01 1.940e+00 12.509 < 2e-16 ***\n",
836 "oxygen -1.344e-02 1.762e-03 -7.628 6.27e-10 ***\n",
837 "oxy2 8.902e-06 3.444e-07 25.850 < 2e-16 ***\n",
838 "---\n",
839 "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
840 "\n",
841 "Residual standard error: 3.186 on 50 degrees of freedom\n",
842 "Multiple R-squared: 0.9939,\tAdjusted R-squared: 0.9936 \n",
843 "F-statistic: 4055 on 2 and 50 DF, p-value: < 2.2e-16\n"
844 ]
845 },
846 "metadata": {},
847 "output_type": "display_data"
848 },
849 {
850 "data": {
851 "text/html": [
852 "<table>\n",
853 "<thead><tr><th></th><th scope=col>Df</th><th scope=col>Sum Sq</th><th scope=col>Mean Sq</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr></thead>\n",
854 "<tbody>\n",
855 "\t<tr><th scope=row>oxygen</th><td> 1 </td><td>75555.2158 </td><td>75555.21580 </td><td>7441.5695 </td><td>4.587875e-56</td></tr>\n",
856 "\t<tr><th scope=row>oxy2</th><td> 1 </td><td> 6784.7247 </td><td> 6784.72473 </td><td> 668.2398 </td><td>1.357823e-30</td></tr>\n",
857 "\t<tr><th scope=row>Residuals</th><td>50 </td><td> 507.6565 </td><td> 10.15313 </td><td> NA </td><td> NA</td></tr>\n",
858 "</tbody>\n",
859 "</table>\n"
860 ],
861 "text/latex": [
862 "\\begin{tabular}{r|lllll}\n",
863 " & Df & Sum Sq & Mean Sq & F value & Pr(>F)\\\\\n",
864 "\\hline\n",
865 "\toxygen & 1 & 75555.2158 & 75555.21580 & 7441.5695 & 4.587875e-56\\\\\n",
866 "\toxy2 & 1 & 6784.7247 & 6784.72473 & 668.2398 & 1.357823e-30\\\\\n",
867 "\tResiduals & 50 & 507.6565 & 10.15313 & NA & NA\\\\\n",
868 "\\end{tabular}\n"
869 ],
870 "text/markdown": [
871 "\n",
872 "| <!--/--> | Df | Sum Sq | Mean Sq | F value | Pr(>F) | \n",
873 "|---|---|---|\n",
874 "| oxygen | 1 | 75555.2158 | 75555.21580 | 7441.5695 | 4.587875e-56 | \n",
875 "| oxy2 | 1 | 6784.7247 | 6784.72473 | 668.2398 | 1.357823e-30 | \n",
876 "| Residuals | 50 | 507.6565 | 10.15313 | NA | NA | \n",
877 "\n",
878 "\n"
879 ],
880 "text/plain": [
881 " Df Sum Sq Mean Sq F value Pr(>F) \n",
882 "oxygen 1 75555.2158 75555.21580 7441.5695 4.587875e-56\n",
883 "oxy2 1 6784.7247 6784.72473 668.2398 1.357823e-30\n",
884 "Residuals 50 507.6565 10.15313 NA NA"
885 ]
886 },
887 "metadata": {},
888 "output_type": "display_data"
889 }
890 ],
891 "source": [
892 "fit <- lm(ventil ~ oxygen + oxy2, data = anaerobic)\n",
893 "summary(fit)\n",
894 "anova(fit)"
895 ]
896 },
897 {
898 "cell_type": "markdown",
899 "metadata": {},
900 "source": [
901 "### Make the usual residual plots and comment on the fit of the model again."
902 ]
903 },
904 {
905 "cell_type": "code",
906 "execution_count": 41,
907 "metadata": {},
908 "outputs": [
909 {
910 "data": {},
911 "metadata": {},
912 "output_type": "display_data"
913 },
914 {
915 "data": {
916 "image/png": 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JdUAAAAPMaWLVuMaYNx586dt99+203NaQCBAwAAwEOYpQ3GsWPHWrwhjUDgAAAA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\nEqEyAAAAAElFTkSuQmCC",
917 "text/plain": [
918 "plot without title"
919 ]
920 },
921 "metadata": {},
922 "output_type": "display_data"
923 }
924 ],
925 "source": [
926 "ggplotRegression(fit)"
927 ]
928 },
929 {
930 "cell_type": "code",
931 "execution_count": 42,
932 "metadata": {},
933 "outputs": [
934 {
935 "data": {},
936 "metadata": {},
937 "output_type": "display_data"
938 },
939 {
940 "data": {
941 "image/png": 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jgQiK7D77//TlsbkPLy8lOnTk2bNq3DdFi2bBn9eNeuXRUVFbdu3erXrx89mJyc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\ntH37diqV6uzs/N1335FIJHV+m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942 "text/plain": [
943 "plot without title"
944 ]
945 },
946 "metadata": {},
947 "output_type": "display_data"
948 }
949 ],
950 "source": [
951 "autoplot(fit)"
952 ]
953 },
954 {
955 "cell_type": "code",
956 "execution_count": null,
957 "metadata": {},
958 "outputs": [],
959 "source": []
960 }
961 ],
962 "metadata": {
963 "kernelspec": {
964 "display_name": "R",
965 "language": "R",
966 "name": "ir"
967 },
968 "language_info": {
969 "codemirror_mode": "r",
970 "file_extension": ".r",
971 "mimetype": "text/x-r-source",
972 "name": "R",
973 "pygments_lexer": "r",
974 "version": "3.4.2"
975 },
976 "toc": {
977 "nav_menu": {},
978 "number_sections": true,
979 "sideBar": true,
980 "skip_h1_title": false,
981 "title_cell": "Table of Contents",
982 "title_sidebar": "Contents",
983 "toc_cell": false,
984 "toc_position": {
985 "height": "calc(100% - 180px)",
986 "left": "10px",
987 "top": "150px",
988 "width": "342px"
989 },
990 "toc_section_display": true,
991 "toc_window_display": true
992 }
993 },
994 "nbformat": 4,
995 "nbformat_minor": 2
996 }