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QUESTION 2 [22] Consider the data and the results obtained in Question 1. (2.1) Calculate the mean absolute deviation. (6) (2.2) Calculate the mean squared residuals. ( 9 ) (2.3) Calculate the coefficient of determination, R2. (6) (2.4) Calculate the adjusted coefficient of determination, Radj. (4) QUESTION 3 [16] The following model (M) was proposed for testing whether there was a significant interaction be- tween two predictor variables X1 and X2. y = Pot Bixit B2x2 + B3x2 + BAXIxzTE. (M) The regression ANOVA table for the model without interaction is the following: df SS MS F Significance F Regression 3 7474.7333 2491.5778 846.1803 2.8653 x 10-8 Residual 17.6667 2.945 Total 7492.4 The regression ANOVA table for the full model is the following: dif SS MS F Significance F Regression 7487.7803 1871.9451 2026.1339 3.3025 x 10-8 Residual 4.6197 0.9239 Total CO 7492.4 (3.1) Do the data provide sufficient evidence to support the model without interaction instead of the full model? Use a = 0.05. Show all necessary calculations before explaining your answer. (10) (3.2) Repeat the appropriate steps in part (3.1) using a = 0.01. (4) (3.3) Do we obtain the same conclusions in parts (3.1) and (3.2)? Explain your answer. (2) 3