Question: Consider the gasoline mileage data in Table B.3. a. Does the correlation matrix give any indication of multicollinearity? b. Calculate the variance inflation factors and

Consider the gasoline mileage data in Table B.3.

Automobile y X1 X2 X3 X4 X5 X6 X7 X9 x10 x11

a. Does the correlation matrix give any indication of multicollinearity?
b. Calculate the variance inflation factors and the condition number of $\mathbf{X}^{\prime} \mathbf{X}$. Is there any evidence of multicollinearity?

Automobile y X1 X2 X3 X4 X5 X6 X7 X9 x10 x11 Apollo 18.90 350 165 260 8.0:1 2.56:1 4 Omega 17.00 350 170 275 8.5:1 2.56:1 4 Nova 20.00 250 105 185 8.25:1 2.73:1 1 Monarch 18.25 351 143 255 8.0:1 Duster 20.07 225 95 170 8.4:1 3.00:1 2 3 2.76:1 1 Jenson 11.2 440 215 330 8.2:1 2.88:1 43 333333 200.3 69.9 3910 A 199.6 72.9 2860 A 196.7 72.2 3510 A 199.9 74.0 3890 A 194.1 71.8 3365 M 184.5 69 4215 A Conv. Skyhawk 22.12 231 Monza 21.47 262 Scirocco 34.70 89.7 Corolla 30.40 96.9 110 175 110 200 8.5:1 70 81 75 83 8.0:1 2.56:1 2 2.56:1 8.2:1 9.0:1 3.90:1 2 4.30:1 2222 3343 179.3 65.4 3020 A 179.3 65.4 3180 A 155.7 64 1905 M 5 165.2 65 2320 M SR-5 Camaro 16.50 350 Datsun 36.50 85.3 155 80 83 250 8.5:1 8.5:1 3.08:1 4 3.89:1 2 42 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 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 21.47 360 180 290 8.4:1 2.45:1 Trans AM 16.59 400 185 NA 76:1 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 13.27 351 148 243 8.0:1 3.26:1 2 Matador 13.77 360 195 295 8.25:1 Corvette 16.50 350 165 255 8.5:1 3.15:1 2.73:1 212222222222244 4 170.4 66.9 2655 M 3 171.5 77 3375 A 4 168.8 69.4 2700 M 3 199.9 74 3890 A 3 224.1 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 3 196 73 3850 A 5 165.2 61.8 2275 M 4 33333333 4 176.4 65.4 2150 M 228 79.8 5430 A 5 171.5 63.4 2535 M 215.3 76.3 4370 A 215.5 78.5 4540 A 216.1 78.5 4715 A 209.3 185.2 69 77.4 4215 A 3660 A

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