2a. Suppose you are given the following data involving weekly sales and test scores supposedly designed to pick out the "best" salespersons.

Test scoreWeekly sales (in millions)n=7

Mr. Amber813

Mr. Archer614

Ms Smith59

Mr. Malcolm1012

Mr. Goodwin911

Ms. Bly710

Ms.Rain415

Use x=5 for Part III of the regression problem (prediction interval).

Calculate the correlation coefficient, r. calculate the coefficient of determination, r^2; of non determination. Interpret them.

2b. Suppose you wish to test for the significance of r, the correlation coefficient, in problem 2a, given n=7. Using the .01 level of significance, test the hypothesis that r is not different from 0 versus that r is different from 0 (remember r can be between -1 and +1) in the population. Do you accept or reject the null hypothesis?