In developing a confidence interval estimate for a simple regression model, the critical value of t statistic is _______. a. tn-k-2 degrees of freedom b. tn-1 degrees of freedom c. tn-2 degrees of freedom d. tk degrees of freedom
Question
In developing a confidence interval estimate for a simple regression model, the critical value of t statistic is _______.
a. tn-k-2 degrees of freedom
b. tn-1 degrees of freedom
c. tn-2 degrees of freedom
d. tk degrees of freedom
Solution
The correct answer is:
a. tn-k-2 degrees of freedom
In a simple regression model, the degrees of freedom are calculated as the total number of observations (n) minus the number of parameters estimated (k) and minus 2. The 2 accounts for the estimation of the intercept and the slope in the regression model. Therefore, the critical value of the t statistic is based on tn-k-2 degrees of freedom.
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