% Survival % Weight 1 % Weight 2 % Weight 3 (v) (x1 ) (x2) (X3) 26.4 4.10 6.62 8.00 25.9 6.32 8.72 9.10 32.0 4.08 4.42 8.70 25.2 4.15 7.60 9.20 39.7 10.15 4.83 9.40 35.9 1.72 3.12 7.60 26.5 1.70 5.30 8.20 Assume the model y = Bo + Bix + B2x2 + 4.14. The survival rate (in percentage) of bull B3x3 +E . semen after storage is measured at various a. Compute X'X, (X'X)-1, and X'y. combinations of concentrations of three materials (additives) that are thought to b. Plot the response y versus each predictor increase the chance of survival. The data variable. Comment on these plots. listed below are given in the file bsemen. c. Obtain the least squares estimates of 3 and give the fitted equation. % Survival % Weight 1 % Weight 2 % Weight 3 (y) (x1 ) d. Construct a 90% confidence interval for (x2) (X3) i. the predicted mean value of y when 25.5 1.74 5.30 10.80 31.2 x1 = 3, X2 = 8, and x3 = 9; 6.32 5.42 9.40 25.9 6.22 8.41 7.20 ii. the predicted individual value of y when 38.4 10.52 4.63 8.50 x1 = 3, X2 = 8, and X3 = 9. 18.4 1.19 11.60 9.40 e. Construct the ANOVA table and test for a 26.7 1.22 5.85 9.90 significant linear relationship between y and the three predictor variables