10.17 CAFE. The Corporate Average Fuel Economy (CAFE) bill was proposed by Senators John McCain and...
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10.17 CAFE. The Corporate Average Fuel Economy (CAFE) bill was proposed by Senators John McCain and John Kerry to improve the fuel economy of cars and light trucks sold in the United States. However, the bill was, in effect, indefinitely postponed when an amendment was passed, by a vote of 62-38, that charged the National Highway Traffic Safety Administration to develop a new standard. The file CAFE contains data on this vote, including the vote of each senator (Vote, which is 1 for Yes and 0 for No), whether or not each senator is a Democrat (Dem, which is 1 for Democrats and 0 for Republicans),- monetary contributions that each of the 100 senators received over his or her lifetime from car manufacturers (Contribution), and logContr, which is the natural log of (1+ Contribution) As we might expect, there is a strong positive association between contributions from car manufacturers and voting Yes on the CAFE amendment. But is the effect the same for Democrats as for Republicans? That is, we wonder whether the slope between logit(Vote) and logContr is the same for the two parties. CAFE a. Fit the model in which logit(Vote) depends on logContr and on party, allowing for different coefficients of logContr for Democrats (Dem) and for Republicans. Use a Wald z-test to check for a difference. What is the P-value? a. Fit the model in which logit(Vote) depends on logContr and on party, allowing for different coefficients of logContr for Democrats (Dem) and for Republicans. Use a Wald z-test to check for a difference. What is the P-value? b. Repeat part (a) but this time use nested models and the drop-in- deviance test (the nested likelihood ratio test). What is the P-value? c. How do the P-values from parts (a) and (b) compare? If they are the same, why is that? If they are different, why are they different? 10.17 CAFE. The Corporate Average Fuel Economy (CAFE) bill was proposed by Senators John McCain and John Kerry to improve the fuel economy of cars and light trucks sold in the United States. However, the bill was, in effect, indefinitely postponed when an amendment was passed, by a vote of 62-38, that charged the National Highway Traffic Safety Administration to develop a new standard. The file CAFE contains data on this vote, including the vote of each senator (Vote, which is 1 for Yes and 0 for No), whether or not each senator is a Democrat (Dem, which is 1 for Democrats and 0 for Republicans),- monetary contributions that each of the 100 senators received over his or her lifetime from car manufacturers (Contribution), and logContr, which is the natural log of (1+ Contribution) As we might expect, there is a strong positive association between contributions from car manufacturers and voting Yes on the CAFE amendment. But is the effect the same for Democrats as for Republicans? That is, we wonder whether the slope between logit(Vote) and logContr is the same for the two parties. CAFE a. Fit the model in which logit(Vote) depends on logContr and on party, allowing for different coefficients of logContr for Democrats (Dem) and for Republicans. Use a Wald z-test to check for a difference. What is the P-value? a. Fit the model in which logit(Vote) depends on logContr and on party, allowing for different coefficients of logContr for Democrats (Dem) and for Republicans. Use a Wald z-test to check for a difference. What is the P-value? b. Repeat part (a) but this time use nested models and the drop-in- deviance test (the nested likelihood ratio test). What is the P-value? c. How do the P-values from parts (a) and (b) compare? If they are the same, why is that? If they are different, why are they different?
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An Introduction to Management Science Quantitative Approach to Decision Making
ISBN: 978-1337406529
15th edition
Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
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