In the dataset, a Volkswagen Beetle has a displacement equal to 2.0 and fuel economy equal to 26. Calculate the residual of this observation and choose the correct answer from the choices below. -40.23

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Author:Amos Gilat
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The U.S. government provides fuel economy (in milles 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-37.49079-4357743 Displacement
Sample size: 35
R (correlation coefficient)--0.79692884
R-sq-0.63509558
Estimate of error standard deviation: 4.0040499
In the dataset, a Volkswagen Beetle has a displacement equal to 2.0 and fuel economy equal to 26. Calculate the residual of this observation and choose the correct answer from the choices below.
-40.23
-2.78
2.78
28.78
None of the above
Transcribed Image Text:The U.S. government provides fuel economy (in milles 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-37.49079-4357743 Displacement Sample size: 35 R (correlation coefficient)--0.79692884 R-sq-0.63509558 Estimate of error standard deviation: 4.0040499 In the dataset, a Volkswagen Beetle has a displacement equal to 2.0 and fuel economy equal to 26. Calculate the residual of this observation and choose the correct answer from the choices below. -40.23 -2.78 2.78 28.78 None of the above
Expert Solution
Step 1

The regression equation is given by

MPG = 37.49079 - 4.357743 Displacement

 

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