3. For question 3, you will use the mtcars data in R. (a) Fit a regression model (model_a) using mpg as the response and cyl, disp, hp, wt and drat as predictors (Do not include and polynomial or interaction terms). Obtain the Variance Inflation Factor (VIF) for each predictor. (You may use the "vif" function in the faraway package.) Does any collinearity exist? Report all predictors whose VIF are higher than 10. Briefly explain how collinearity affects in the regression analysis. (b) From the result in (a), remove the predictor with the highest VIF value and fit another regression model using the rest of the predictors. Obtain the Variance Inflation Factor (VIF) for each predictor used for the model. This time, do not use any built-in function in R to compute the VIF values. (You can still use the Im function/object.) Does any collinearity exist? Report all predictors whose VIF are higher than 10