Basic Business Statistics
Basic Business Statistics
14th Edition
ISBN: 9780134684840
Author: BERENSON, Mark L., Levine, David M., Szabat, Kathryn A.
Publisher: Pearson,
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Chapter 15, Problem 3PS

A study was conducted on automobile engines to examine the relationship between engine speed measured in revolutions per minute (RPM) and engine torque with the goal of predicting engine torque.

a. Construct a scatter plot for RPM and torque.

b. Fit a quadratic regression model and state the quadratic regression equation.

c. Predict the mean torque for RPM of 3,000.

d. Perform a residual analysis on the results and determine whether the regression assumptions are valid.

e. At the 0.05 level of significance, is there a significant quadratic relationship between torque and RPM?

f. At the 0.05 level of significance, determine whether the quadratic model is a better fit than the linear model.

g. Interpret the meaning of the coefficient of multiple determination.

h. Compute the adjusted r 2 .

i. What conclusions can you reach concerning the relationship between RPM and torque?

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