Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.5, Problem 10BSC
To determine
To identify: The exactly two predictor variables that are used to predict the city fuel consumption.
To explain: The reason for the result.
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Is the number of calories in a beer related to the number of carbohydrates and/or the percentage of alcohol in the beer? The accompanying table has data for 35 beers. The values for three variables are included: the number of calories per 12ounces, the alcohol percentage, and the number of carbohydrates (in grams) per 12 ounces.
a.
Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and number of carbohydrates as the independent variables.
Let
X1
represent alcohol percentage and let
X2
represent the number of carbohydrates.
(Round to four decimal places as needed.)
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?
Reject
Fail to reject
O Not enough information.
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.
Chapter 10 Solutions
Elementary Statistics
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