
Explanation:
When we have a total of "regressors" (including a constant) and observations, the t-test statistic will follow a t-distribution with degrees of freedom.
In this case, ,
Also, this is a two-tailed test.
Thus, we would be interested in . We would be looking in the t-tables in the degrees of freedom = 22 rows and the 2.5% column (so that 2.5% is in each tail for a 5% 2-tailed test). The critical value would be 2.07.
Option A is incorrect. 1.72 would be the critical value for a 5% one-tailed test or a 10% two-tailed test.
Option B is incorrect. This is the critical value obtained if you forget to subtract the number of parameters estimated (3) from the number of observations to get the degrees of freedom, i.e., .
Option D is incorrect. 1.64 is the 5% one-sided critical value from the normal distribution.
Note: the fact that observations are quarterly is irrelevant in our calculations.
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