The VIF for Log10 Displacement is (Round to two decimal places as needed.)The VIF for Log10 HP is. (Round to two decimal places as needed.)The coefficient of Log10 is most influenced by collinearity and the coefficient of Log10 is least influenced by collinearity.(b) To see the effects of collinearity, make a partial regression leverage plot for these data. Regress Log,, MPG on Log,, HP and Log,, Weight and save the residuals. Then regress Log, Displacement on Log, HP and Log,, Weight and save these residuals. Make a scatterplot of the residuals from the regression of Log10 MPG on the two explanatory variables on the residuals from the regression of Log, Displacement on the other two explanatory variables. Fit the simple regression for this scatterplot, and compare the slope in this fit to the partial slope for Log, Displacement in the multiple regression. Are they different? Determine the partial slope for Log,, Displacement in the multiple regression. Log 10 Displacement (Round to three decimal places as needed.)Make a scatterplot of the residuals from the regression of Log,, MPG on Log,, HP and on Log, Weight on the residuals from the regression of Log10 Displacement on the same two explanatory variables. Choose the correct graph below.Fit the simple regression for this scatterplot. Estimated Log,, MPG residual = |+ () Log10 Displacement residual (Round to three decimal places as needed.)Compare the slope in this fit to the partial slope for Log, , Displacement in the multiple regression. Are they different? the slope of the simple regression model is the partial slope for Logo Displacement in the multiple regression.(c) Compare the scatterplot of Log10 MPG on Log10 Displacement to the residual scatterplot constructed in part (b). What has changed? Construct a scatterplot of Log,, MPG on Log, Displacement. Choose the correct graph below.What has changed between the two scatterplots? O A. Both scatterplots have a positive linear pattern. Only the scales have changed. O B. The new scatterplot has a negative linear pattern while the residual scatterplot has a positive linear pattern. O C. The new scatterplot has a positive linear pattern while the residual scatterplot has no pattern. O D. Neither scatterplot has any pattern. Only the scales have changed. O E. The new scatterplot has no pattern while the residual scatterplot has a positive linear pattern. OF. The new scatterplot has a negative linear pattern while the residual scatterplot has no pattern.= Homework: HW CH24 Question 8, 24.1.38-T HW Score: 27.55%, 3.31 of 12 points Part 1 of 10 Points: 0.46 of 1 Save The accompanying data include the engine size or displacement (in liters) and horsepower (HP) of 50 recently sold vehicles. Fit a multiple regression with the Log, of the combined mileage rating as the response and the Log, of the weight of the car, the Logo of the engine displacement, and the Log, of the horsepower of the engine as explanatory variables. Complete parts (a) through (c) below. Click the icon to view the vehicle data. (a) Describe the effects of collinearity on the three estimated coefficients. Which coefficients are most/least influenced by collinearity? The VIF for Log10 Weight is]. (Round to two decimal places as needed.)