chapter14 - 1(a y = 10.5 0.00156 yards ^(b Predictor...

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1 Chapter 14 14–1. (a) ˆ y = 10 . 5 - 0 . 00156 yards (b) Predictor Coef SE Coef T P Constant 10.451 2.514 4.16 0.000 yards -0.001565 0.001090 -1.43 0.163 S = 3.414 R-Sq = 7.3% R-Sq(adj) = 3.8% Analysis of Variance Source DF SS MS F P Regression 1 23.99 23.99 2.06 0.163 Residual Error 26 302.97 11.65 Total 27 326.96 (c) - 0 . 00380 β 1 0 . 00068 (d) R 2 = 7 . 3% (e)
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2 Based on the residual plots there appears to be a severe outlier. This point should be investigated and if necessary, the point removed and the analysis rerun. 14–2. ˆ y = 10 . 5 - 0 . 00156(1800) = 7 . 63 or approximately 8. 6 E ( y | x 0 = 1800) 9 . 27 14–3. (a) ˆ y = 31 . 6 - 0 . 0410 displacement (b) Predictor Coef SE Coef T P Constant 31.648 1.812 17.46 0.000 displace -0.040975 0.005406 -7.58 0.000 S = 1.976 R-Sq = 81.5% R-Sq(adj) = 80.1%$ Analysis of Variance Source DF SS MS F P Regression 1 224.43 224.43 57.45 0.000 Residual Error 13 50.79 3.91 Total 14 275.21 (c) R 2 = 81 . 5% (d) ˆ y = 20 . 381, 19 . 374 E ( y | x 0 = 275) 21 . 388
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3 14–4. ˆ y = 31 . 6 - 0 . 0410(275) = 20 . 381, 10 . 37 E ( y | x 0 = 275) 21 . 39 14–5.
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4 14–6. (a) ˆ y = 13 . 3 + 3 . 32 taxes (b) Predictor Coef SE Coef T P Constant 13.320 2.572 5.18 0.000 taxes 3.3244 0.3903 8.52 0.000 S = 2.961 R-Sq = 76.7% R-Sq(adj) = 75.7% Analysis of Variance Source DF SS MS F P Regression 1 636.16 636.16 72.56 0.000 Residual Error 22 192.89 8.77 Total 23 829.05 (c) 76.7% (d)
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6 14–7. (a) ˆ y = 93 . 3 + 15 . 6 x (b) Predictor Coef SE Coef T P Constant 93.34 10.51 8.88 0.000 x 15.649 4.345 3.60 0.003 S = 11.63 R-Sq = 48.1% R-Sq(adj) = 44.4%
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