Question: Consider the gasoline mileage performance data in Table B.3. a. Use the all-possible-regressions approach to find an appropriate regression model. b. Use stepwise regression to

Consider the gasoline mileage performance data in Table B.3.
Automobile X1 x2 X3 X4 Apollo 18.90 350 165 260 8.0:1 Omega

a. Use the all-possible-regressions approach to find an appropriate regression model.
b. Use stepwise regression to specify a subset regression model. Does this lead to the same model found in part a?

Automobile X1 x2 X3 X4 Apollo 18.90 350 165 260 8.0:1 Omega 17.00 350 Nova Monarch Duster Jenson Xs X6 X7 2.56:1 4 170 275 8.5:1 2.56:1 4 20.00 250 105 185 8.25:1 2.73:1 1 18.25 351 143 255 8.0:1 3.00:1 2 199.9 74.0 20.07 225 95 170 8.4:1 2.76:1 1 3 194.1 71.8 11.2 440 215 330 8.2:1 2.88:1 4 3 184.5 69 Xg X9 X10 Xx11 3333mm 200.3 69.9 3910 A 199.6 72.9 2860 A 196.7 72.2 3510 A 3890 A 3365 M 4215 A Conv. Skyhawk 22.12 231 110 175 8.0:1 2.56:1 2 3 179.3 65.4 3020 A Monza 21.47 262 110 200 8.5:1 2.56:1 23 179.3 65.4 3180 A Scirocco 34.70 89.7 70 81 8.2:1 3.90:1 2 4 155.7 64 1905 M Corolla 30.40 96.9 75 83 9.0:1 4.30:1 2 5 165.2 65 2320 M SR-5 Camaro 16.50 350 155 250 8.5:1 3.08:1 4 3 195.4 74.4 3885 A Datsun 36.50 85.3 80 83 8.5:1 3.89:1 24 160.6 62.2 2009 M B210 Capri II 21.50 171 109 146 8.2:1 3.22:1 Pacer 19.70 258 110 195 8.0:1 3.08:1 Babcat 20.30 140 83 109 8.4:1 3.40:1 Granada 17.80 302 129 220 8.0:1 3.0:1 Eldorado 14.39 500 190 360 8.5:1 2.73:1 Imperial 14.89 440 215 330 8.2:1 2.71:1 Nova LN 17.80 350 155 250 8.5:1 3.08:1 Valiant 16.41 318 145 255 8.5:1 2.45:1 Starfire 23.54 231 110 175 8.0:1 2.56:1 Cordoba 21.47 360 Trans AM 16.59 400 180 290 8.4:1 185 NA 76:1 2.45:1 3.08:1 Corolla E-5 31.90 96.9 75 83 9.0:1 4.30:1 Astre 29.40 140 86 NA 8.0:1 2.92:1 Mark IV 13.27 460 223 366 8.0:1 3.00:1 Celica GT 23.90 133.6 96 120 8.4:1 3.91:1 Charger SE 19.73 318 140 255 8.5:1 2.71:1 Cougar 13.90 351 148 243 8.0:1 3.25:1 Elite Matador Corvette 13.27 351 148 243 8.0:1 3.26:1 13.77 360 16.50 350 1555 295 8.25:1 3.15:1 165 255 8.5:1 2.73:1 212242224224222244 2 4 170.4 66.9 2655 M 3 171.5 77 3375 A 2 4 168.8 69.4 2700 M 3 199.9 74 3890 A 3 224.1 79.8 5290 A 4 3 231.0 79.7 5185 A 4 3 196.7 72.2 3910 A 3 1976 71 3660 A 2 3 179.3 65.4 3050 A 2 3 214.2 76.3 4250 A 4 3 196 73 3850 A 25 165.2 61.8 2275 M 2 4 176.4 65.4 2150 M 3 228 79.8 5430 A 5 171.5 63.4 2535 M 2 215.3 76.3 4370 A 2 215.5 78.5 4540 A 3 216.1 78.5 4715 A 3 209.3 77.4 4215 A 185.2 69 3660 A

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