we repeat the data and provide the regression equations for Exercises 4.44–4.49. Do the following. x 3 1 2 y -4 0 -5 y = 1 − 2x a. Compute the three sums of squares, SST, SSR, and SSE, using the...

we repeat the data and provide the regression equations for Exercises 4.44–4.49. Do the following.

y = 1 − 2x

a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas (page 179).

b. Verify the regression identity, SST = SSR + SSE.

c. Compute the coefficient of determination.

d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression.

e. State how useful the regression equation appears to be for making predictions. (Answers for this part may vary, owing to differing interpretations.)