題組內容

4. (總分 40 分) A statistics instructor is interested in applying a simple regression to test whether students' performance in the midterm exam (x, midterm exam scores) is associated with their performance in the final exam (y, final exam scores). The model to be estimated is 669612eb57fa1.jpg, and the data is as follows:
 669612cd89f57.jpg

(b). (10 分) What is the sampling distribution of 669613146a4b5.jpg? (Hint: probability distribution, mean, and standard error)