Problems 2.4 and 3.5 asked you to fit two different models to the gasoline mileage data in Table B.3. Calculate the PRESS statistic for these two models. Based on this statistic, which model is most likely to provide better predictions of new data?

Problem 2.4

Table B. 3 presents data on the gasoline mileage performance of 32 different automobiles.

Problem 3.5

Consider the gasoline mileage data in Table B.3.

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Automobile y X1 X2 X3 Xt xs X6 X7 X X X1 X11 Apollo 18.90 350 165 260 8.0:1 2.56:1 4 3 200.3 69.9 3910 A Omega 1700 350 170 275 8.5:1 2.56:1 4 3 199.6 72.9 2860 A Nova 20.00 250 105 185 8.25:1 2.73:1 1 3 196.7 72.2 3510 A Monarch 18.25 351 143 255 8.0:1 3.00:1 2 3 199.9 74.0 3890 A Duster 20.07 225 95 170 8.4:1 2.76:1 1 3 194.1 71.8 3365 M Jenson 11.2 440 215 330 8.2:1 2.88:1 4 3 184.5 69 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 2 3 179.3 65.4 3180 A Scirocco Corolla 34.70 30.40 96.9 89.7 70 81 8.2:1 3.90:1 2 4 155.7 64 1905 M 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 2 4 160.6 62.2 2009 M B210 Capri II 21.50 171 109 146 8.2:1 3.22:1 2 4 170.4 66.9 2655 M Pacer 19.70 258 110 195 8.0:1 3.08:1 1 3 171.5 77 3375 A Babcat 20.30 140 83 109 8.4:1 3.40:1 2 4 168.8 69.4 2700 M Granada 1780 302 129 220 8.0:1 3.0:1 2 3 199.9 74 3890 A Eldorado 14.39 500. 190 360 8.5:1 2.73:1 4 3 224.1 79.8 5290 A Imperial 14.89 440 215 330 8.2:1 2.71:1 4 3 231.0 79.7 5185 A Nova LN 1780 350 155 250 8.5:1 3.08:1 4 3 196.7 72.2 3910 A Valiant 16.41 318 Starfire 23.54 231 Cordoba 21.47 360 Trans AM 16.59 400 Corolla E-5 31.90 96.9 145 255 8.5:1 110 175 180 290 8.4:1 185 NA 76:1 75 83 9.0:1 2.45:1 2 3 1976 71 3660 A 8.0:1 2.56:1 2 3 2.45:1 2 3 179.3 65.4 3050 A 214.2 76.3 4250 A 3.08:1 3.08:1 4 3 196 73 3850 A 4.30:1 25 165.2 61.8 2275 M Astre 29.40 140 86 NA 8.0:1 2.92:1 2 4 Mark IV Celica GT 13.27 460 223 366 8.0:1 23.90 133.6 96 120 8.4:1 3.91:1 Charger SE 19.73 318 19.73 318 Cougar 13.90 351 Elite Matador Corvette 13.27 351 13.77 360 16.50 350 140 255 8.5:1 148 243 8.0:1 148 243 8.0:1 195 295 8.25:1 165 255 8.5:1 3.00:1 4 3 2 5 2.71:1 2 3 3.25:1 2 3 3.26:1 2 3 3.15:1 4 3 2.73:1 4 3 176.4 228 79.8 5430 A 171.5 63.4 2535 M 215.3 76.3 4370 A 215.5 78.5 4540 A 216.1 78.5 4715 A 209.3 774 65.4 2150 M 4215 A 185.2 69 3660 A