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a) Fill in the blanks in the following tables. The column labeled Seq SS represents sequential sums of squares (measures the reduction in the SS
a) Fill in the blanks in the following tables. The column labeled \"Seq SS\" represents \"sequential sums of squares\" (measures the reduction in the SS when a term is added to a model that contains only the terms before it), while the column labeled \"Adj SS\" represents \"adjusted sums of squares\" (measures the reduction in the SS for each term relative to a model that contains all of the remaining terms). [Hint: The t-statistics in the Coefficients table assume all other predictors are included in the model, so if we square these we get the F-statistics in the Anova table based on Adjusted Sums of Squares.] Source df Seq SS Adj SS F-statistic p-value based on Adj based on Adj SS SS Regressio 3 100.866 35.14 0.000 n X1 1 67.444 33.031 34.52 0.000 X2 1 3.883 X3 1 30.88 0.000 Error 93 ---------Total 96 189.842 189.842 ---------Coefficients Term Constant X1 X2 X3 Coef 0.58 0.34 -0.01 0.06 SE coef 1.24 0.058 0.0245 0.0103 t-statistic 0.45 5.88 p-value 0.652 0.000 5.56 0.000 b) Calculate SSR(X3|X1), that is the sequential sum of squares obtained by adding X3 to a model already containing only the predictor X 1. Show your work. c) Calculate the value of an F-statistic for testing H 0: 2 = 3 = 0 within the model Yi = 0 + 1 Xi,1 + 2 Xi,2 + 3 Xi,3 + i. It is not necessary to carry out the test - just calculate the value of F. Show your work. d) Calculate the value of the coefficient of partial determination R2Y,2|1
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