Use a simple regression model to test the hypothesis H0 : 1 = 0 versus H0 :

Use a simple regression model to test the hypothesis
H0 : β1 = 0
versus
H0 : β1 ≠ 0
with α = 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.