Please answer all parts a-e of question 1 below. Please show all work and all steps for all parts a-e in order to get marked as a helpful answer.

??Please DO NOT copy solutions from chegg, because these data points are different.

(12.5 points) The data in the following table come from an article by Bethe] et a]. (1935}. All subjects are asthmatics. For the model with FEV] as the response \"Y" and HEIGHT (X1), WEIGHT (X2), and AGE (X3) as the predictors. FEV AGE HEIGHT WEIGHT (L) (yr) (cm) (kg) 4.7 24 175 78.0 4.3 36 172 67.7 3.5 28 171 98.0 4.0 25 166 65.5 3.2 26 166 65.0 4.7 22 176 65.5 4.3 27 185 85.5 4.7 27 171 76.3 5.2 36 185 79.0 4.2 24 182 88.2 3.5 26 180 70.5 3.2 29 163 75.0 2.6 33 180 68.0 2.0 31 180 65.0 4.0 30 180 70.4 3.9 22 168 63.0 3.0 27 168 91.2 4.5 46 178 67.0 2.4 36 l 73 62.0 (a) (2 points) Examine if there are extreme values of the dependent variable and the predictors for the given data. (b) (One point} Determine the correlation matrix for "Y" as the response and HEIGHT (X1), WEIGHT (X2), and AGE (X3) as the predictors. Comment. (c) (1.5 points) Examine the scatter plots of "Y" as the response versus HEIGHT (X1), "Y" as the response versus WEIGHT (X 2), and "Y" as the response versus AGE (X3). Commut. (d) (One point} Examine the partial regression plots. (e) (One point) Examine the normal probability plot of jackknife residuals. Is the normality assumption violated? If so, suggest possible remedies