Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.5, Problem 12BSC
City Fuel Consumption: Finding the Best Multiple Regression Equation. In Exercises 9-12, refer to the accompanying table, which was obtained using the data from 21 cars listed in Data Set 20 “Car Measurements” in Appendix B. The response (y) variable is CITY (fuel consumption in mi /gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi /gal).
| Predictor (x) Variables | P-Value | R2 | Adjusted R2 | Regression Equation |
| WT/DISP/HWY | 0.000 | 0.943 | 0.933 | CITY = 6.86 − 0.00128 WT − 0.257 DISP + 0.652 HWY |
| WT/DISP | 0.000 | 0.748 | 0.720 | CITY = 38.0 − 0.00395 WT − 1.29 DISP |
| WT/HWY | 0.000 | 0.942 | 0.935 | CITY = 6.69 − 0.00159 WT + 0.670 HWY |
| DISP/HWY | 0.000 | 0.935 | 0.928 | CITY 1.87 − 0.625 DISP + 0.706 HWY |
| WT | 0.000 | 0.712 | 0.697 | CITY = 41.8 − 0.00607 WT |
| DISP | 0.000 | 0.659 | 0.641 | CITY = 29.0 − 2.98 DISP |
| HWY | 0.000 | 0.924 | 0.920 | CITY = −3.15+ 0.819 HWY |
12. A Honda Civic weighs 2740 lb, it has an engine displacement of 1.8 L, and its highway fuel consumption is 36 mi/gal. What is the best predicted value of the city fuel consumption? Is that predicted value likely to be a good estimate? Is that predicted value likely to be very accurate?
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The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total
enrollment; police, employed officers. Use the estimated OLS models to answer the questions below:
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In(crime) = -6.631 + 1.270ln(enroll),
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Reject
Fail to reject
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The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total
enrollment; police, employed officers. Use the estimated OLS models to answer the questions below:
Model A:
In(crime) = -6.631 + 1.270ln(enroll),
(1.034) (.110)
n = 97; R² = .5804
Model B:
In(crime) = -4.794 + .923ln(enroll)
(.144)
(1.112)
n = 97; R² = .632
+.516ln(police),
(.149)
Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a
two-sided alternative). Calculate the t-statistic.
D& T LTD marketing team needed more information about the effectiveness of their 3 main mode of advertising. To determine which type is the most effective, the manager collected one week’s data from 25 randomly selected stores. For each store, the following variables were recorded:
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Chapter 10 Solutions
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