Derive a (1 - α) 100% confidence interval for μY|x0, the mean of Y at x = x0, by solving the double inequality -tα/2, n-2 α/2, n-2 with t given by the formula of Exercise 23.
Exercise 23
Use the results of Exercises 20 and 21 and the fact that
![](https://test.transtutors.com/qimg/575a46d2-2aea-4a19-aa23-ebc85fa96f62.png)
Exercises 20
Under the assumptions of normal regression analysis, show that
(a) the least squares estimate of α in Theorem 2 can be written in the form
![](https://test.transtutors.com/qimg/b1c63296-a360-4594-8d81-b241798840e8.png)
(b)
has a normal distribution with
![](https://test.transtutors.com/qimg/3fefda63-0bcc-453c-a18a-029bcd3a23e9.png)
Theorem 2
![](https://test.transtutors.com/qimg/f7cf5c8c-13aa-4c60-9870-5dde93f2c85b.png)
Exercises 21
This question has been intentionally omitted for this edition.