Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 10.4, Problem 10BSC
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).
10. If exactly two predictor (x) variables are to be used to predict the city fuel consumption, which two variables should be chosen? Why?
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The St. Lucian Government is interested in predicting the number of weekly riders on the public buses using the following variables:
• • • •
Price of bus trips per weekThe population in the cityThe monthly income of ridersAverage rate to park your personal vehicle
Determine the multiple regression equation for the data.
What is the predicted value of the number of weekly riders if: price of bus trips per week = $24; population = $2,000,000; the monthly income of riders = $13,500; and average rate to park your personal vehicle = $150.
Interpret the coefficient of determination.
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)
.5804
n = 97; R² =
Model B:
In(crime) = -4.794+.923ln(enroll) +.516ln(police),
(.144)
(.149)
(1.112)
n = 97; R² = .632
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). What is the conclusion of your test using a significance level of .01?
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Fail to reject
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Chapter 10 Solutions
Elementary Statistics (13th Edition)
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