Question: With reference to Exercise 11.6, find (a) a (90%) confidence interval for the average number of classes attended each day by a student present for

With reference to Exercise 11.6, find

(a) a $90\%$ confidence interval for the average number of classes attended each day by a student present for 15 days;

(b) $90 \%$ limits of prediction for the number of classes attended each day by a student present for 15 days.

Data From Exercise 11.6

11.6 The following table shows how many days in December a sample

11.6 The following table shows how many days in December a sample of 6 students were present at their university and the number of lectures each attended on a given day. Number of days present x Number of lectures attended y 325413 283 12 13 10 7 10 (a) Find the equation of the least squares line which will enable us to predict y in terms of x. (b) Use the result in part (a) to estimate how many lec- tures someone who has been present for 15 days can be expected to attend each day.

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