Researchers want to determine if heavier cars use more gasoline? To answer this question, a researcher randomly selected 15 cars. He collected their weight (in hundreds of pounds) and the mileage (MPG) for each car. From a scatterplot made with the data, a linear model seemed appropriate and the following output was obtained in photo below. Question: Determine the proportion of the variation in mileage is accounted for by the linear relationship with the weight of the car and also determine the estimate of the regression standard deviation.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 43A
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Researchers want to determine if heavier cars use more gasoline? To answer this question, a researcher randomly selected 15 cars. He collected their weight (in hundreds of pounds) and the mileage (MPG) for each car. From a scatterplot made with the data, a linear model seemed appropriate and the following output was obtained in photo below.

Question: Determine the proportion of the variation in mileage is accounted for by the linear relationship with the weight of the car and also determine the estimate of the regression standard deviation.

The following output was obtained from SAS:
R-Square Root MSE
0.438
6.78
Parameter Estimate Standard t Value Pr>t
Error
6.275 6.445 0.0000
0.164 -3.182 0.0072
Intercept 40.439
WEIGHT -0.521
Transcribed Image Text:The following output was obtained from SAS: R-Square Root MSE 0.438 6.78 Parameter Estimate Standard t Value Pr>t Error 6.275 6.445 0.0000 0.164 -3.182 0.0072 Intercept 40.439 WEIGHT -0.521
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