Use a simple regression model to test the null hypothesis

Question

Use a simple regression model to test the null hypothesis against the alternative

H_o: B_{1 =} 0

H₁: B₁does not = 0

with a type I error or level of significance of = 0.05, given the following regression statistics:

a. The sample size is 35, SST = 100,000, and the correlation between X and Y is 0.46.

b. The sample size is 61, SST = 123,000, and the correlation between X and Y is 0.65.

c. The sample size is 25, SST = 128,000, and the correlation between X and Y is 0.69.