Question: You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 21, you

You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 21, you determine that SSR = 34 and SSE = 25.

a. What is the value of the F test statistic?

b. At the α = 0.05 level of significance, what is the critical value?

c. Based on your answers to

(a) and (b), what statistical decision should you make?

d. Calculate the correlation coefficient by first calculating r

2 and assuming b1 is negative.

e. At the 0.05 level of significance, is there a significant correlation between X and Y?

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