Homework 8 Solutions

# Homework 8 Solutions - 12-2.a)b)12-18.The Minitab result is...

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Unformatted text preview: 12-2.a)b)12-18.The Minitab result is shown below.Regression Analysis: W versus GF, GA, ... The regression equation isW = 512 + 0.164 GF - 0.183 GA - 0.054 ADV + 0.09 PPGF - 0.14 PCTG - 0.163 PEN- 0.128 BMI + 13.1 AVG + 0.292 SHT - 1.60 PPGA - 5.54 PKPCT + 0.106 SHGF+ 0.612 SHGA + 0.005 FGPredictor Coef SE Coef T PConstant 512.2 185.9 2.75 0.015GF 0.16374 0.03673 4.46 0.000GA -0.18329 0.04787 -3.83 0.002ADV -0.0540 0.2183 -0.25 0.808PPGF 0.089 1.126 0.08 0.938PCTG -0.142 3.810 -0.04 0.971PEN -0.1632 0.3029 -0.54 0.598BMI -0.1282 0.2838 -0.45 0.658AVG 13.09 24.84 0.53 0.606SHT 0.2924 0.1334 2.19 0.045PPGA -1.6018 0.6407 -2.50 0.025PKPCT -5.542 2.181 -2.54 0.023SHGF 0.1057 0.1975 0.54 0.600SHGA 0.6124 0.2615 2.34 0.033FG 0.0047 0.1943 0.02 0.981S = 2.65443 R-Sq = 92.9% R-Sq(adj) = 86.3%Analysis of VarianceSource DF SS MS F PRegression 14 1390.310 99.308 14.09 0.000Residual Error 15 105.690 7.046Total 29 1496.000whereThe standard errors of the coefficients are listed under the SE Coef column above.12-38. a) for all jfor at least one jFrom the Minitab output in Exercise 12-8 Reject Hand conclude that the regression model is significant at = 0.05b) GF : Reject HGA :Reject HADV : Fail to reject HPPGF : Fail to reject HPCTG :Fail to reject HPEN : Fail to reject HBMI :Fail to reject HAVG : Fail to reject HSHT : Reject HPPGA :Reject HPKPCT : Reject HSHGF :Fail to reject HSHGA : Reject HFG : Fail to reject HIt does not seem that all regressors are important. Only the regressors "GF" (β1), “GA” (β2), "SHT" (β9), “PPGA” (β10 ), "PKPCT" (β11), and “SHGA” (β13 ) are significant at = 0.05c) The Minitab result is shown below.Regression Analysis: W versus GF, PPGF The regression equation isW = - 8.82 + 0.218 GF - 0.016 PPGFPredictor Coef SE Coef T PConstant -8.818 9.230 -0.96 0.348GF 0.21779 0.05467 3.98 0.000PPGF -0.0162 0.1134 -0.14 0.888S = 5.11355 R-Sq = 52.8% R-Sq(adj) = 49.3%Analysis of VarianceSource DF SS MS F PRegression 2 789.99 395.00 15.11 0.000Residual Error 27 706.01 26.15Total 29 1496.00Because PPGF had a tstatistic near zero in part (b) there is a concern that it is not an important predictor. We will evaluate its role in the smaller model with GF.Because f> f0.05,2,27, we reject the null hypothesis that the coefficient of GF and PPGF are both zero.Reject HFail to reject HBased on the t-test, power play goals for (PPGF) is not a logical choice to add to the model that already contains GF. 12-56.a) From the Minitab output in Exercise 12-18 the estimate, standard error, t statistic and P-value for the coefficient of GF are:Predictor Coef SE Coef T PGF 0.16374 0.03673 4.46 0.000The 95% CI on the regression coefficient β1of GF isb) The Minitab result is shown below....
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## This note was uploaded on 11/18/2011 for the course ECE 083 taught by Professor Best during the Spring '08 term at Lehigh University .

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Homework 8 Solutions - 12-2.a)b)12-18.The Minitab result is...

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