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Unformatted text preview: ISMT111 Problem Set #9 Use the following information to answer questions 1 through 4. The listing below gives 10 years of annual data on traffic deaths (DEATHS in thousands), total vehicle miles traveled (MILES in billion of miles), and the average speed of all vehicles (SPEED in miles per hour). Accompanying these data are Excel regression output obtained from estimating the following two regression models: DEATHS = α + α 1 MILES + α 2 SPEED + ε 1 (Model 1) DEATHS = β + β 1 MILES + β 2 SPEED + β 3 MILES × SPEED + ε 2 (Model 2) Observation DEATHS MILES SPEED 1 38.376 738 52.6 2 40.651 767 53.8 3 43.470 805 55.8 4 47.432 847 55.9 5 48.895 889 56.4 6 53.010 930 57.3 7 52.910 962 58.0 8 54.864 1016 59.0 9 55.692 1071 60.0 10 54.929 1121 59.2 Model 1 SUMMARY OUTPUT Regression Statistics Multiple R 0.9715 R Square 0.9438 Adjusted R Square 0.9277 Standard Error 1.7033 Observations 10 ANOVA df SS MS F Significance F Regression 2 341.0036 170.5018 58.7719 4.2094E05 Residual 7 20.3075 2.9011 Total 9 361.3111 Coefficients Standard Error t Stat Pvalue Lower 95% Upper 95% Intercept81.0310 33.32952.4312 0.0453159.84272.2193 MILES 0.0081 0.0150 0.5397 0.60620.0274 0.0436 SPEED 2.1591 0.8137 2.6534 0.0328 0.2350 4.0833 Model 2 SUMMARY OUTPUT Regression Statistics Multiple R 0.9849 R Square 0.9699 Adjusted R Square 0.9549 Standard Error 1.3452 Observations 10 ANOVA df SS MS F Significance F Regression 3 350.4542 116.8181 64.5589 5.8677E05 Residual 6 10.8569 1.8095 Total 9 361.3111 Coefficients Standard Error t Stat Pvalue Lower 95% Upper 95% Intercept306.7491 102.21473.0010 0.0239556.859756.6386 MILES 0.3452 0.1480 2.3328 0.05840.0169 0.7073 SPEED 5.7565 1.7002 3.3857 0.0148 1.5962 9.9168 MILESxSPEED0.0055 0.00242.2854 0.06230.0114 0.0004 1 ATChan 2008 (1) Consider Model 1. In testing the null hypothesis at α = 0 . 05 that MILES is not an important predictor for DEATHS given that SPEED has already been included in the model, against the...
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This note was uploaded on 12/22/2009 for the course ISOM ISOM111 taught by Professor Anthonychan during the Fall '09 term at HKUST.
 Fall '09
 AnthonyChan

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