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HW#12 Q2 - Omar Mirza Section 4 HW#12(problem Q-2 only Q-2...

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Omar Mirza Section 4 HW#12 (problem Q-2 only) Nov 29, 2006 Q-2) We wish to evaluate the model: volume A diameter height α β = By regressing log(volume) on log(diameter) and log(height). Taking the log of equation 1 yields the following: log( ) log( ) log( ) log( ) volume A diameter height α β = + + The following is the MINITAB calculation of the regression equation: MTB > Regress 'logV' 2 'logD' 'logH'; SUBC> Constant; SUBC> Brief 2. Regression Analysis: logV versus logD, logH The regression equation is logV = - 6.63 + 1.98 logD + 1.12 logH Predictor Coef SE Coef T P Constant -6.6316 0.7998 -8.29 0.000 logD 1.98265 0.07501 26.43 0.000 logH 1.1171 0.2044 5.46 0.000 S = 0.0813861 R-Sq = 97.8% R-Sq(adj) = 97.6% Analysis of Variance Source DF SS MS F P Regression 2 8.1232 4.0616 613.19 0.000 Residual Error 28 0.1855 0.0066 Total 30 8.3087 Source DF Seq SS logD 1 7.9254 logH 1 0.1978 Unusual Observations Obs logD logV Fit SE Fit Residual St Resid 15 2.48 2.9497 3.1182 0.0154 -0.1686 -2.11R
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18 2.59 3.3105 3.4751 0.0288 -0.1645 -2.16R R denotes an observation with a large standardized residual. Although we have very small p-values, it does not make physical sense to have a negative
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