Question about regression.

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 tstatistr'cs in the Coefcients table assume at! other predictors are included in the model", so if we square these we get the F-statiistr'cs in the ANOVA table based on Adjusted Sums of Squares. I F-statistic p-value based on Adj SS based on Adj SS Regression 39.38 0000 1772.2 25.50 0.000 2.93 0.090 4.60 Constant -15.71 -3.42 X1 0.522 0.000 X2 0.0842 0.00620 0.090 b. Calculate SSR(X3|X1), that is the sequential sum of squares obtained by adding X3 to a model already containing only the predictor X1. Show your work. c. Explain in words what is measured by the quantity calculated in the previous part. d. Discuss the conceptual difference between the sequential sum of squares (Seq SS) and adjusted sum of squares {Adi SS) in terms of the predictor X2. For this data, what are the numerical values of these sums of squares for the predictor X2? e. Calculate the value of an F-statistic for testing H0: [32 = [33 = 0 within the model Yi = [30 + [31 XLI + [32 Km + B3 X33 + 8i. It is not necessary to carry out the test iust calculate the value of F. Show your work. f. Calculate the value of the coefficient of partial determination R2Y,2|1- 9. Write a sentence that interprets the value calculated in the previous part