Question: a. Obtain the ANOVA table that decomposes the regression sum of squares into extra sums of squares associate with X1, with X3 given X1, with X2 given X1 and X3.

b. Test whether X1 can be dropped from the regression model given that X2 and X3 are retained at the .01 level. Use the F* test statistic. State the alternatives, decision rule, p-value, and conclusion.

c. Obtain t* for the same test along with the p-level. Show how t* and F* are related to each other.

d. Test whether X1 and X2 can be dropped from the model given that X3 is retained. Use alpha=.01.

State the alternative, decision rule, p-value, and conclusion.