# chapter15 - 1 –1(a ˆ y = 7 30 0 0183 x 1 399 x 4(b...

This preview shows pages 1–9. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Chapter 15 15–1. (a) ˆ 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. 15–2. (a) ˆ 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) 15–3. (- . 8024 , . 0044) 15–4. (- . 1076 ,- . 0264) 4 15–5. (a) ˆ 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 15–6. (a) ˆ 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 15–7. (a) ˆ 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 : β 3 = 0 ,F = 0 . 361 (not significant) H : β 4 = 0 ,F = 0 . 0004 (not significant) (d) 8 15–8. (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 : β 4 = 0, F = 0 . 04 (not significant) (d) The t statistics are given in part (b) (e) H : β 2 = β 3 = β 4 = 0, SS R ( β 2 ,β 3 ,β 4 | β 1 ,β ) = SS R ( β 1 ,β 2 ,β 3 ,β 4 | β )- SS R ( β 1 | β ) = 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....
View Full Document

{[ snackBarMessage ]}

### Page1 / 21

chapter15 - 1 –1(a ˆ y = 7 30 0 0183 x 1 399 x 4(b...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online