Suppose you find the ANOVA table shown in Table 11.2 for a simple linear regression. Table 11.2

Question:

Suppose you find the ANOVA table shown in Table 11.2 for a simple linear regression.
Table 11.2 ANOVA Table
Degrees of Freedom Sum of Squares
Explained ....... 52
Unexplained ..... 87
Total ......... 1598

a. Find the correlation between X and Y, assuming that the slope of the least squares line is negative.
b. Find the p-value for the test of the hypothesis of no explanatory power at all. What does it tell you in this particular case?