Which of the following sentences is the correct interpretation of the slope? For every one unit increase in displacement, the predicted fuel economy decreases by 4.36 mpg. For every one unit increase in displacement, the predicted fuel economy increases by 4.36 mpg. For every one unit increase in fuel economy, the predicted displacement decreases by 4.36. For every one unit increase in fuel economy, the predicted displacement increases by 4.36.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
19
Question 19
The U.S. government provides fuel economy (in miles per gallon) and other information about late model cars sold in the US. A linear regression model was used on the data to determine
whether there was an association between a car's engine displacement (Displacement) and fuel economy (MPG).
Use the StatCrunch output to answer the following question.
Simple linear regression results:
Dependent Variable: MPG
Independent Variable: Displacement
MPG 37.49079 -4.357743 Displacement
Sample size: 35
R (correlation coefficient)- -0.79692884
R-sq-0.63509558
Estimate of error standard deviation: 4.0040499
Which of the following sentences is the correct interpretation of the slope?
For every one unit increase in displacement, the predicted fuel economy decreases by 4.36 mpg.
For every one unit increase in displacement, the predicted fuel economy increases by 4.36 mpg.
For every one unit increase in fuel economy, the predicted displacement decreases by 4.36.
For every one unit increase in fuel economy, the predicted displacement increases by 4.36.
Transcribed Image Text:Question 19 The U.S. government provides fuel economy (in miles per gallon) and other information about late model cars sold in the US. A linear regression model was used on the data to determine whether there was an association between a car's engine displacement (Displacement) and fuel economy (MPG). Use the StatCrunch output to answer the following question. Simple linear regression results: Dependent Variable: MPG Independent Variable: Displacement MPG 37.49079 -4.357743 Displacement Sample size: 35 R (correlation coefficient)- -0.79692884 R-sq-0.63509558 Estimate of error standard deviation: 4.0040499 Which of the following sentences is the correct interpretation of the slope? For every one unit increase in displacement, the predicted fuel economy decreases by 4.36 mpg. For every one unit increase in displacement, the predicted fuel economy increases by 4.36 mpg. For every one unit increase in fuel economy, the predicted displacement decreases by 4.36. For every one unit increase in fuel economy, the predicted displacement increases by 4.36.
Expert Solution
Step 1

The regression equation is given by 

MPG = 37.49079 - 4.357743 Displacement

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