# Question: Use a simple regression model to test the hypothesis 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.

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.

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