4.4 Consider the multiple regression model fit to the gasoline mileage data. TABLE B.3 Gasoline Mileage Performance for 32 Antomobiles Automobile y X₁ X₂ X3 X₁ X₁ Xq Xy x₂ X10 X₁1 Apollo 18.90 350 165 260 8.0:1 2.56:14 200.3 69.9 3910 A Omega 17.00 350 170 275 8.5:1 2.56:1 4 72.9 2860 A Nova 105 185 8.25:1 199.6 196.7 72.2 3510 A 199.9 74.0 3890 A Monarch 20.00 250 18.25 351 20.07 225 11.2 440 2.73:1 1 3 3.00:1 2 3 2.76:1 1 3 194.1 71.8 2.88:14 3 184.5 69 143 255 8.0:1 95 170 8.4:1 215 330 8.2:1 Duster 3365 M 4215 A Jenson Conv. Skyhawk 3020 A 22.12 231 21.47 262 3180 A Monza Scirocco 110 175 8.0:1 110 200 8.5:1 34.70 89.7 70 81 8.2:1 30.40 96.9 75 83 9.0:1 2.56:1 2 3 2.56:1 2 3 3.90:1 24 4.30:1 2 5 179.3 65.4 179.3 65.4 155.7 64 165.2 65 1905 M Corolla 2320 M SR-5 Camaro 16.50 350 155 250 8.5:1 3.08:14 3 195.4 74.4 3885 A 33

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4.4 Consider the multiple regression model fit to the gasoline mileage data.
TABLE B.3 Gasoline Mileage Performance for 32 Antomobiles
Automobile y X₁ X₂ X3 X4
X₁
X
X10 X11
Apollo
165 260 8.0:1
170 275 8.5:1
Omega
18.90 350
17.00 350
20.00 250
18.25 351
2.56:1 4 3 200.3 69.9 3910 A
2.56:1 43 199.6 72.9 2860 A
13 196.7 72.2 3510 A
Nova
Monarch
199.9 74.0 3890 A
105 185 8.25:1 2.73:1
143 255 8.0:1 3.00:1 23
95 170 8.4:1 2.76:1 13
215 330 8.2:1 2.88:1
Duster
20.07 225
194.1 71.8 3365 M
Jenson
11.2 440
184.5 69 4215 A
Conv.
Skyhawk
22.12 231
110 175 8.0:1 2.56:1
3020 A
179.3 65.4
179.3 65.4
21.47 262 110 200 8.5:1
2.56:1
3180 A
Monza
Scirocco
34.70 89.7 70 81 8.2:1 3.90:1 2
1905 M
155.7 64
165.2 65
Corolla
30.40 96.9 75 83 9.0:1
4.30:1
2320 M
SR-5
Camaro
16.50 350 155 250 8.5:1
3.08:1
3 195.4 74.4
3885 A
Datsun
36.50 85.3 80 83 8.5:1 3.89:1 2
160.6 62.2 2009 M
B210
Capri II
21.50 171 109 146 8.2:1
Pacer
19.70 258 110 195 8.0:1
Babcat 20.30 140 83 109 8.4:1
Granada 17.80 302 129 220 8.0:1
Eldorado 14.39 500
Imperial
14.89 440
Nova LN
Valiant
3.22:1 2 4 170.4 66.9 2655 M
3.08:1 13 171.5 77 3375 A
3.40:1 24 168.8 69.4 2700 M
3.0:1 2 3 199.9 74 3890 A
2.73:1 4 3 224.1 79.8 5290 A
2.71:1
231.0 79.7 5185 A
190 360 8.5:1
215 330 8.2:1
4
3
17.80 350
155 250 8.5:1 3.08:1
3
196.7 72.2 3910 A
16.41 318
145 255 8.5:1
3
23.54 231
110 175 8.0:1
2 3
23
Starfire
Cordoba
Trans AM
Corolla E-5
Astre
Mark IV
Celica GT
2.45:1
197.6 71 3660 A
2.56:1
179.3 65.4 3050 A
21.47 360 180 290 8.4:1 2.45:1
214.2 76.3 4250 A
16.59 400 185 NA 7.6:1 3.08:1 43 196 73 3850 A
31.90 96.9 75 83 9.0:1 4.30:1 2 5 165.2 61.8 2275 M
29.40 140 86 NA 8.0:1 2.92:1 24 176.4 65.4 2150 M
13.27 460 223 366 8.0:1 3.00:1 43 228 79.8 5430 A
23.90 133.6 96 120 8.4:1 3.91:1 2 5 171.5 63.4 2535 M
19.73 318 140 255 8.5:1 2.71:1 2 3 215.3 76.3 4370 A
148 243 8.0:1 3.25:1 2
215.5 78.5 4540 A
148 243 8.0:1 3.26:1 2
78.5 4715 A
195 295 8.25:1 3.15:1 43
165 255 8.5:1 2.73:1 4 3 185.2 69 3660 A
Charger SE
Cougar
Elite
Matador
Corvette
13.90 351
13.27 351
13.77 360
16.50 350
216.1
209.3 77.4 4215 A
b. Construct and interpret a plot of the residuals versus the predicted response.
2222
23
442221
4
3346
2
5
पं
333
Transcribed Image Text:4.4 Consider the multiple regression model fit to the gasoline mileage data. TABLE B.3 Gasoline Mileage Performance for 32 Antomobiles Automobile y X₁ X₂ X3 X4 X₁ X X10 X11 Apollo 165 260 8.0:1 170 275 8.5:1 Omega 18.90 350 17.00 350 20.00 250 18.25 351 2.56:1 4 3 200.3 69.9 3910 A 2.56:1 43 199.6 72.9 2860 A 13 196.7 72.2 3510 A Nova Monarch 199.9 74.0 3890 A 105 185 8.25:1 2.73:1 143 255 8.0:1 3.00:1 23 95 170 8.4:1 2.76:1 13 215 330 8.2:1 2.88:1 Duster 20.07 225 194.1 71.8 3365 M Jenson 11.2 440 184.5 69 4215 A Conv. Skyhawk 22.12 231 110 175 8.0:1 2.56:1 3020 A 179.3 65.4 179.3 65.4 21.47 262 110 200 8.5:1 2.56:1 3180 A Monza Scirocco 34.70 89.7 70 81 8.2:1 3.90:1 2 1905 M 155.7 64 165.2 65 Corolla 30.40 96.9 75 83 9.0:1 4.30:1 2320 M SR-5 Camaro 16.50 350 155 250 8.5:1 3.08:1 3 195.4 74.4 3885 A Datsun 36.50 85.3 80 83 8.5:1 3.89:1 2 160.6 62.2 2009 M B210 Capri II 21.50 171 109 146 8.2:1 Pacer 19.70 258 110 195 8.0:1 Babcat 20.30 140 83 109 8.4:1 Granada 17.80 302 129 220 8.0:1 Eldorado 14.39 500 Imperial 14.89 440 Nova LN Valiant 3.22:1 2 4 170.4 66.9 2655 M 3.08:1 13 171.5 77 3375 A 3.40:1 24 168.8 69.4 2700 M 3.0:1 2 3 199.9 74 3890 A 2.73:1 4 3 224.1 79.8 5290 A 2.71:1 231.0 79.7 5185 A 190 360 8.5:1 215 330 8.2:1 4 3 17.80 350 155 250 8.5:1 3.08:1 3 196.7 72.2 3910 A 16.41 318 145 255 8.5:1 3 23.54 231 110 175 8.0:1 2 3 23 Starfire Cordoba Trans AM Corolla E-5 Astre Mark IV Celica GT 2.45:1 197.6 71 3660 A 2.56:1 179.3 65.4 3050 A 21.47 360 180 290 8.4:1 2.45:1 214.2 76.3 4250 A 16.59 400 185 NA 7.6:1 3.08:1 43 196 73 3850 A 31.90 96.9 75 83 9.0:1 4.30:1 2 5 165.2 61.8 2275 M 29.40 140 86 NA 8.0:1 2.92:1 24 176.4 65.4 2150 M 13.27 460 223 366 8.0:1 3.00:1 43 228 79.8 5430 A 23.90 133.6 96 120 8.4:1 3.91:1 2 5 171.5 63.4 2535 M 19.73 318 140 255 8.5:1 2.71:1 2 3 215.3 76.3 4370 A 148 243 8.0:1 3.25:1 2 215.5 78.5 4540 A 148 243 8.0:1 3.26:1 2 78.5 4715 A 195 295 8.25:1 3.15:1 43 165 255 8.5:1 2.73:1 4 3 185.2 69 3660 A Charger SE Cougar Elite Matador Corvette 13.90 351 13.27 351 13.77 360 16.50 350 216.1 209.3 77.4 4215 A b. Construct and interpret a plot of the residuals versus the predicted response. 2222 23 442221 4 3346 2 5 पं 333
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