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After you run a bivariate regression of Y on X on a dataset with n=10,000, you see that the t-statistic for your predictor X is

After you run a bivariate regression of Y on X on a dataset with n=10,000, you see that

the t-statistic for your predictor X is 3.05. You have set your alpha to be 0.05 and you

know that the t-critical is 1.96 with this sample size and alpha level. What can you

conclude?

a. The regression coefficient for X is significantly different from 0.

b. The variable X explains 3.05% of the variance in Y

c. The p-value associated with the regression coefficient for X is less than

0.05.

d. We can be 95% confident that there is a non-zero relationship between X and Y.

e. The 95% confidence interval will include zero.

Are the anwers (a and c) or (a, c, d)?

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