Question
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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