Question: Suppose we are testing the null hypothesis that there is no relationship between two variables X and Y. From a sample of n=27 we determine that SSR=150 and SSE=800.

(a) What is the value of F test statistic? What is the critical F value at 0.05 level of significance? Should we reject the null hypothesis?

(b) Calculate the correlation coefficient by first calculating r² and assuming b₁ is positive.