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Homework: HW2 Score: 0 of 2 pts Instructor-created question Save 4 of 5 (1 compl

ID: 3272666 • Letter: H

Question

Homework: HW2 Score: 0 of 2 pts Instructor-created question Save 4 of 5 (1 complete) HW Score: 6.67%, 0.67 of 10 pts EQuestion Help The data provided give the gasoline mileage (in miles per gallon) based on the horsepower of a car's engine and the weight of the car (in pounds). Using the data provided, determine the VIF for each independent variable in the model. Is there reason to suspect the existence of collinearity? Click the icon to view the data. Determine the VIF for each independent variable in the model. VIF2 (Round to three decimal places as needed.) Is there reason to suspect the existence of collinearity? A- Yes. The VIF for each independent variable is less than 5. 0 B. No. The VIF for each independent variable is less than 5. O C. Yes. The VIF for each independent variable is greater than 5. O D. No. The VIF for each independent variable is greater than 5

Explanation / Answer

Correlation between MPG and Horsepower = -0.8249

VIF1 = 1/(1-R2) = 1/(1-(-0.82492)) = 1/(1-0.6805)= 1/0.3195 = 3.129

Correlation between MPG and Weight = -0.8596

VIF2 = 1/(1-R2) = 1/(1-(-0.85962)) = 1/(1-0.7389)= 1/0.2611 = 3.829

No, the VIF of each independent variable is less than 55.