For the stackloss dataset in R . consider the model stack loss - But By Air Flow + 3 2 Water Temp + ByWater Tempt te ( a ) Calculate the variance inflation factors for three slope parameters . Comment on the results . Use the the R code in the notes on multicollinearity to calculate the VIP's . ( 6 ) Obtain the leverage values for this model and plot them against the case number ( order ) . Disc 153 the values and in particular find any that are above the usual threshhold ( . ) Obtain the internally and externally studentized residuals and point out any that are large in magnitude and any that differ substantially between the two forms of standardizing ( 1 ) Calculate the PRESS statistic and the R? for prediction ( e ) Obtain Cook's statistics for this model and plot them against the case number . Discuss which cases have had a big influence on the fit ( f ) Refit the mode . after centering the Air Flow and Water , Temp variables . Create new Air Flow and Wa - ter Temp variables by subtracting their means form a new Water , Temp 2 variable by squaring the centered Water , Temp 1 . Give the covariance matrices for the predictor variables before and after this transformation . What has changed and what has stayed the same ? 1 . Find the variance inflation factors for the transformed fit . Compare with the previous results and discuss