Homework10Solutions

# Homework10Solutions - CHEN 3010 Applied Data Analysis Fall...

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Unformatted text preview: CHEN 3010 Applied Data Analysis Fall 2004 Homework 10 Solutions Problem 1 6-12. a) The regression equation is MPG-y = 38.4 - 0.00165 Weight-x1 - 0.0403 Horsepower-x2 Predictor Coef StDev T P VIF Constant 38.387 3.719 10.32 0.000 Weight-x -0.001648 0.001325 -1.24 0.245 1.8 Horsepow -0.040308 0.006299 -6.40 0.000 1.8 S = 2.135 R-Sq = 91.2% R-Sq(adj) = 89.2% Analysis of Variance Source DF SS MS F P Regression 2 423.41 211.70 46.44 0.000 Residual Error 9 41.03 4.56 Total 11 464.44 Source DF Seq SS Weight-x 1 236.70 Horsepow 1 186.71 b) 0.16464-1.41661 2.33925-1.31445 1.58629-1.08273 1.12759-3.77526 1.79269 0.63652-2.14613 2.08818 c) SSE = 41.03 2 ˆ σ = 4.56 d) R-Sq = 91.2%, R-Sq(adj) = 89.2% discuss R-Sq(adj) is less than R-Sq. e) see part a. Based on the p-value from the ANOVA table, the regression model is significant at the 0.10 level of significance. f) se( ˆ β ) = 3.719, se( 1 ˆ β ) = 0.0013, se( 2 ˆ β ) = 0.0063 g) See part a. Based on the p-values for each coefficient, only x 1 does not appear to be significant at the 0.05 level of significance. h) β : 38.387 ± 2.262(3.791); 29.8118, 46.9622 β 1 : -0.0016 ± 2.262(0.0013); -0.0045, 0.0013 β 2 : -0.0403 ± 2.262(0.0063); -0.0546,-0.0260 i) Obs SRES2 COOK2 1 0.09379 0.00141 2-0.78074 0.07819 3 1.31029 0.24630 4-0.64814 0.01519 5 0.80217 0.03558 6-0.56461 0.02547 7 0.57213 0.01895 8-1.84772 0.10479 CHEN 3010 Applied Data Analysis Fall 2004 9 0.97075 0.10581 10 0.35819 0.01897 11-1.18468 0.18208 12 1.53073 1.13238 600 500 400 300 200 100 3 2 1-1-2-3-4 Horsepow Residual Residuals Versus Horsepow (response is MPG-y) 4500 3500 2500 3 2 1-1-2-3-4 Weight-x Residual Residuals Versus Weight-x (response is MPG-y) CHEN 3010 Applied Data Analysis Fall 2004...
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## This note was uploaded on 10/11/2011 for the course CHEN 3010 taught by Professor Kompala,dh during the Spring '08 term at Colorado.

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Homework10Solutions - CHEN 3010 Applied Data Analysis Fall...

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