Question 2 Making Predictions Part a) Suppose a new patient with the values below arrives at the clinic. Predict the 1psa for this patient along with an appropriate 95% confidence interval. ## (Intercept) 1cavol 1weight age 1bph svi ## 1 . 0000 1 . 4469 3. 6230 65 . 0000 0. 3001 0 . 0000 ## 1cp gleason pgg45 ## -0. 7985 7. 0000 15. 0000 Part b) Repeat the last question for a patient with the same values except that he is age 20. Explain why the confidence interval is wider.Each of the following problems uses the prostate data set from the faraway library. In order to access the data sets: you will need to use the code library (faraway). For the prostate data, t a model with lpsa as the response and the other variables as predictors. Hint: head{prostate) will show you the names of the predictors and the rst 5 rows in the data set