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 Identify the slope, intercept, and association (positive or negative) and choose the correct statement below. The slope is 37.49, the intercept is -4.36, and the association is negative. The slope is 37.49, the intercept is -4.36, and the association is positive. The slope is -4.36, the intercept is 37.49, and the association is negative. The slope is -4.36, the intercept is 37.49, and the association is positive.

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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
Identify the slope, intercept, and association (positive or negative) and choose the correct statement below.
The slope is 37.49, the intercept is -4.36, and the association is negative.
The slope is 37.49, the intercept is -4.36, and the association is positive.
The slope is -4.36, the intercept is 37.49, and the association is negative.
The slope is -4.36, the intercept is 37.49, and the association is positive.
Transcribed Image Text: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 Identify the slope, intercept, and association (positive or negative) and choose the correct statement below. The slope is 37.49, the intercept is -4.36, and the association is negative. The slope is 37.49, the intercept is -4.36, and the association is positive. The slope is -4.36, the intercept is 37.49, and the association is negative. The slope is -4.36, the intercept is 37.49, and the association is positive.
Expert Solution
Step 1

Concept:

Slope represents the change in the dependent variable (I.e. Mpg) when you change the independent variable (i.e. displacement) by a unit.

Intercept is the mean value of dependent variable ,when independent variable is zero.

Correlation measures degree of linear relationship between two variables.

 

 

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