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7. (25 RES) Given the following results on Sum of Squares Regression (SSReg) obtained from Regressions on on X1, X2, and X3. Note SSTO from
7. (25 RES) Given the following results on Sum of Squares Regression (SSReg) obtained from Regressions on on X1, X2, and X3. Note SSTO from the model was computed to be equal to 231.00 and n=25. Predictors W X1 115.07 X2 76.19 X3 21.84 X1 X2 198.41 X1 X3 130.51 X2 X3 80.78 X1 X2 X3 199.86 a) Compute SSR(X2|X1, X3), that is the additional Sum of Squares Regression obtained by including X2 in the Regression model after X1 and X3 were already included in the model. b) Write the first row of the X matrix associated with the reduced (restricted) model that tests H0: Ba = O The first observation from the data set used in the analysis is provided below. Y X1 X2 X3 Obs # 1 10 2113 1985 64.7 c) Compute the Type | Sum of Squares for X1 d) Compute the Type III Sum of Squares for X1 e) Compute the t-ratio for testing HO: [33:0 from the multiple regression model that includes all three predictors
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