chapter15 - 1 Chapter 15 151. (a) y = 7 . 30 + 0 . 0183 x...

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Unformatted text preview: 1 Chapter 15 151. (a) y = 7 . 30 + 0 . 0183 x 1- . 399 x 4 (b) Predictor Coef SE Coef T P Constant 7.304 5.179 1.41 0.176 x1 0.018299 0.004972 3.68 0.002 x4-0.3986 0.1912-2.08 0.053 S = 1.922 R-Sq = 64.1% R-Sq(adj) = 59.9% Analysis of Variance Source DF SS MS F P Regression 2 112.263 56.131 15.19 0.000 Residual Error 17 62.824 3.696 Total 19 175.086 (c) 2 (d) The MS E has improved with the x 1 x 4 model, but the R 2 and adjusted R 2 have decreased. 152. (a) y =- 27 . 9 + 0 . 0136 x 1 + 30 . 7 x 2- . 0670 x 3 (b) Predictor Coef SE Coef T P Constant-27.892 6.035-4.62 0.000 x1 0.013597 0.003247 4.19 0.001 x2 30.685 6.513 4.71 0.000 x3-0.06701 0.01916-3.50 0.003 S = 1.167 R-Sq = 87.6% R-Sq(adj) = 85.2% Analysis of Variance Source DF SS MS F P Regression 3 153.305 51.102 37.54 0.000 Residual Error 16 21.782 1.361 Total 19 175.086 3 (c) 153. (- . 8024 , . 0044) 154. (- . 1076 ,- . 0264) 4 155. (a) y =- 1 . 81 + 0 . 00360 x 2 + 0 . 194 x 7- . 00482 x 8 (b) 5 (c) Predictor Coef SE Coef T P Constant-1.808 7.901-0.23 0.821 x2 0.0035981 0.0006950 5.18 0.000 x7 0.19396 0.08823 2.20 0.038 x8-0.004815 0.001277-3.77 0.001 S = 1.706 R-Sq = 78.6% R-Sq(adj) = 76.0% Analysis of Variance Source DF SS MS F P Regression 3 257.094 85.698 29.44 0.000 Residual Error 24 69.870 2.911 Total 27 326.964 156. (a) y = 33 . 45- . 05435 x 1 + 1 . 0782 x 6 (b) Predictor Coef SE Coef T P Constant 33.449 1.576 21.22 0.000 x1-0.054349 0.006329-8.59 0.000 x6 1.0782 0.6997 1.54 0.138 S = 2.834 R-Sq = 82.9% R-Sq(adj) = 81.3% Analysis of Variance Source DF SS MS F P Regression 2 856.24 428.12 53.32 0.000 Residual Error 22 176.66 8.03 Total 24 1032.90 6 (c) (d) x 6 is not significant with x 1 included in the model. 7 157. (a) y =- 103 + 0 . 605 x 1 + 8 . 92 x 2 + 1 . 44 x 3 + 0 . 014 x 4 (b) Predictor Coef SE Coef T P Constant-102.7 207.9-0.49 0.636 x1 0.6054 0.3689 1.64 0.145 x2 8.924 5.301 1.68 0.136 x3 1.437 2.392 0.60 0.567 x4 0.0136 0.7338 0.02 0.986 S = 15.58 R-Sq = 74.5% R-Sq(adj) = 59.9% Analysis of Variance Source DF SS MS F P Regression 4 4957.2 1239.3 5.11 0.030 Residual Error 7 1699.0 242.7 Total 11 6656.3 (c) H : 3 = 0 ,F = 0 . 361 (not significant) H : 4 = 0 ,F = 0 . 0004 (not significant) (d) 8 158. (a) y = 62 . 4 + 1 . 55 x 1 + 0 . 510 x 2 + 0 . 102 x 3- . 144 x 4 (b) Predictor Coef SE Coef T P Constant 62.41 70.07 0.89 0.399 x1 1.5511 0.7448 2.08 0.071 x2 0.5102 0.7238 0.70 0.501 x3 0.1019 0.7547 0.14 0.896 x4-0.1441 0.7091-0.20 0.844 S = 2.446 R-Sq = 98.2% R-Sq(adj) = 97.4% Analysis of Variance Source DF SS MS F P Regression 4 2667.90 666.97 111.48 0.000 Residual Error 8 47.86 5.98 Total 12 2715.76 (c) H : 4 = 0, F = 0 . 04 (not significant) (d) The t statistics are given in part (b) (e) H : 2 = 3 = 4 = 0, SS R ( 2 , 3 , 4 | 1 , ) = SS R ( 1 , 2 , 3 , 4 | )- SS R ( 1 | ) = 2667 . 90- 1450 . 08 = 1217 . 82 F = (1217 . 82 / 3) / 5 . 98 = 67 . 88; at least one of the variables is significant.88; at least one of the variables is significant....
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chapter15 - 1 Chapter 15 151. (a) y = 7 . 30 + 0 . 0183 x...

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