With reference to Exercise 14.43, construct a 99% confidence interval for the regression coefficient β.
In exercise
The following are the scores that 12 students obtained on the midterm and final examinations in a course in statistics:
(a) Find the equation of the least squares line that will enable us to predict a student’s final examination score in this course on the basis of his or her score on the midterm examination.
(b) Predict the final examination score of a student who received an 84 on the midterm examination.

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