Consider the regression model in Problem 2.4 relating gasoline mileage to engine displacement.

Data From Problem 2.4

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

a. If a particular car has an observed gasoline mileage of 17 miles per gallon, find a point estimate of the corresponding engine displacement.
b. Find a \(95 \%\) confidence interval on engine displacement.

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Automobile y X X2 X3 X4 X5 X6 X7 Xg X9 X10 X11 Apollo 18.90 350 165 260 8.0:1 2.56:1 4 Omega 1700 350 170 275 8.5:1 2.56:1 Nova Monarch Duster 20.07 225 Jenson 11.2 440 215 330 20.00 250 105 185 8.25:1 2.73:1 18.25 351 143 255 8.0:1 3.00:1 2 3 95 170 8.4:1 2.76:1 8.2:1 2.88:1 4 3 441214 3 200.3 69.9 3910 3 199.6 72.9 2860 3 196.7 72.2 3510 A 199.9 74.0 3890 3 194.1 71.8 3365 184.5 69 4215 AAAAMA 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 34.70 89.7 70 81 8.2:1 3.90:1 24 155.7 64 1905 M Corolla 30.40 96.9 75 83 9.0:1 4.30:11 25 165.2 65 2320 M SR-5 Camaro Datsun 16.50 350 36.50 85.3 155 250 8.5:1 80 83 8.5:1 3.08:1 4 3 3.89:1 2 34 195.4 74.4 3885 A 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 Babcat 20.30 140 Granada Eldorado 17.80 302 14.39 500. Imperial Nova LN Valiant 14.89 440 17.80 350 16.41 318 110 195 8.0:1 83 109 8.4:1 129 220 8.0:1 190 360 8.5:1 215 330 8.2:1 155 250 8.5:1 3.08:1 1 3 3.40:1 2 3.0:1 2 2.73:1 4 3 2.71:1 4 3.08:1 4 145 255 8.5:1 2.45:1 2 Starfire 23.54 231 110 175 8.0:1 2.56:1 2 Cordoba 21.47 360 180 290 8.4:1 2.45:1 2 171.5 77 3375 A 4 168.8 69.4 2700 M 3 199.9 74 3890 A 224.1 79.8 5290 A 3 231.0 79.7 5185 A 3 196.7 72.2 3910 A 3 197.6 71 3660 A 3 179.3 65.4 3050 A 3 214.2 76.3 4250 A Trans AM 16.59 400 185 NA 7.6:1 3.08:1 4 Corolla E-5 31.90 96.9 Astre 29.40 140 Mark IV 13.27 460 Celica GT Charger SE Cougar Elite 75 83 86 NA 8.0:1 223 366 8.0:1 23.90 133.6 96 120 8.4:1 19.73 318 140 255 8.5:1 13.90 351 148 243 8.0:1 13.27 351 9.0:1 4.30:1 2 5 2.92:1 2 3.00:1 4 3 3.91:1 2 5 2.71:1 2 3.25:1 354353 196 73 3850 A 165.2 61.8 2275 M 176.4 65.4 2150 M 228 79.8 5430 A 171.5 63.4 2535 M 3 215.3 76.3 4370 A Matador 13.77 360 Corvette 148 243 8.0:1 3.26:1 195 295 8.25:1 3.15:1 16.50 350 165 255 8.5:1 2.73:1 2244+ 3 215.5 78.5 4540 A 216.1 78.5 4715 A 3 209.3 77.4 4215 A 3 185.2 69 3660 A