9.13
Using the SHHS data in Table 2.10,fit all possible multipleregression models (without interactions) that predict the yvariable serum total cholesterol from diastolic bloodpressure,systolic blood pressure,alcohol,carbon monoxide andcotinine. Scrutinize your results to understand how the x variablesact in conjuction.For these data,which is the \"best \" multipleregression model for cholesterol? What percentage of variation doesit explain?
Serum total cholesrerol(mmol/l) | Diastolic blood pressure (mmHg) | Systolic blood pressure (mmHg) | Alcohol (g/day) | Cigarettes (no./day) | Carbon monoxide(ppm) | Cotinine (ng/ml) | CHD (1=yes,2=no) |
5.75 | 80 | 121 | 5.4 | 0 | 6 | 13 | 2 |
6.76 | 83 | 139 | 64.6 | 0 | 4 | 3 | 2 |
6.47 | 76 | 113 | 21.5 | 20 | 21 | 284 | 2 |
7.11 | 79 | 124 | 8.2 | 40 | 57 | 395 | 2 |
5.42 | 100 | 127 | 24.4 | 20 | 29 | 283 | 2 |
7.04 | 79 | 148 | 13.6 | 0 | 3 | 0 | 2 |
5.75 | 79 | 124 | 54.6 | 0 | 3 | 1 | 2 |
7.14 | 100 | 127 | 6.2 | 0 | 1 | 0 | 2 |
6.1 | 79 | 138 | 0 | 0 | 1 | 3 | 2 |
6.55 | 85 | 133 | 2.4 | 0 | 2 | 0 | 2 |
6.29 | 92 | 141 | 0 | 0 | 7 | 0 | 2 |
5.98 | 100 | 183 | 21.5 | 20 | 55 | 245 | 1 |
5.71 | 78 | 119 | 50.2 | 0 | 14 | 424 | 2 |
6.89 | 90 | 143 | 16.7 | 0 | 4 | 0 | 1 |
4.9 | 85 | 132 | 40.6 | 4 | 7 | 82 | 2 |
6.23 | 88 | 139 | 16.7 | 25 | 24 | 324 | 2 |
7.71 | 109 | 154 | 7.2 | 1 | 3 | 11 | 1 |
5.73 | 93 | 136 | 10.8 | 0 | 2 | 0 | 1 |
6.54 | 100 | 149 | 26 | 0 | 3 | 0 | 2 |
7.16 | 73 | 107 | 2.9 | 25 | 29 | 315 | 1 |
6.13 | 92 | 132 | 23.9 | 0 | 2 | 2 | 2 |
6.25 | 87 | 123 | 31.1 | 0 | 7 | 10 | 2 |
5.19 | 97 | 141 | 12 | 0 | 3 | 4 | 1 |
6.05 | 74 | 118 | 23.9 | 0 | 3 | 0 | 2 |
7.12 | 85 | 133 | 24.4 | 0 | 2 | 0 | 2 |
5.71 | 88 | 121 | 45.4 | 0 | 8 | 2 | 2 |
6.19 | 69 | 129 | 24.8 | 15 | 40 | 367 | 1 |
6.73 | 98 | 129 | 52.6 | 15 | 21 | 233 | 2 |
5.34 | 70 | 123 | 38.3 | 1 | 2 | 7 | 2 |
4.79 | 82 | 127 | 23.9 | 0 | 2 | 1 | 2 |
6.78 | 74 | 104 | 4.8 | 0 | 4 | 7 | 2 |
6.1 | 88 | 123 | 86.1 | 0 | 3 | 1 | 1 |
4.35 | 88 | 128 | 15.5 | 20 | 11 | 554 | 2 |
7.1 | 79 | 136 | 7.4 | 10 | 9 | 189 | 1 |
5.85 | 102 | 150 | 4.1 | 0 | 6 | 0 | 2 |
6.74 | 68 | 109 | 1.2 | 15 | 15 | 230 | 2 |
7.55 | 80 | 135 | 92.1 | 25 | 29 | 472 | 2 |
7.86 | 78 | 131 | 23.9 | 6 | 55 | 407 | 1 |
6.92 | 101 | 137 | 2.5 | 0 | 3 | 0 | 2 |
6.64 | 97 | 139 | 119.6 | 40 | 16 | 298 | 2 |
6.46 | 76 | 142 | 62.2 | 40 | 31 | 404 | 1 |
5.99 | 73 | 108 | 0 | 0 | 2 | 4 | 2 |
5.39 | 77 | 112 | 11 | 30 | 11 | 251 | 2 |
6.35 | 81 | 133 | 16.2 | 0 | 3 | 0 | 2 |
5.86 | 88 | 147 | 88.5 | 0 | 3 | 0 | 2 |
5.64 | 65 | 111 | 0 | 20 | 16 | 271 | 2 |
6.6 | 102 | 149 | 65.8 | 0 | 3 | 1 | 2 |
6.76 | 75 | 140 | 12.4 | 0 | 2 | 0 | 2 |
5.51 | 75 | 125 | 0 | 25 | 16 | 441 | 2 |
7.15 | 92 | 131 | 31.1 | 20 | 36 | 434 | 1 |