y X1 -0.27 19.83 9.55 2.58 17.93 10.97 3.18 21.27 31.02 1.70 18.67 28.12 -1.17 7.98 52.35 -0.27 10.16 32.82 -0.53 17.86 57.66 -0.29 13.48 21.10 4.94 17.49 9.15 1.94 14.18 11.72 3.74 23.88 5.43 0.58 10.52 20.03 -0.56 18.92 13.10 -0.49 18.55 12.78 -0.01 13.72 40.28 -1.71 9.12 53.67 -0.12 14.39 26.75 -0.92 11.38 75.62 2.18 16.59 9.95 4.46 16.77 7.88 2.11 18.55 88.10 -0.04 18.02 10.95 a. Fit the model y = Po + Pixi + 82x2 + 83x1*2 + . Compute the analysis of variance table. b. Fit the model y = Po + Pixi + 82x2 + E. Compute the analysis of variance table. c. Fit the model y = Po + Pixi + . Compute the analysis of variance table. d. Compute the F statistics for comparing the models in parts (b) and (c) with the model in part (a). Which model do you prefer? Why