# Question: Derive a 1 100 confidence interval for Y x0

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 < t < tα/2, n–2 with t given by the formula of Exercise 14.23.

## Answer to relevant Questions

Use the results of Exercises 14.20 and 14.21 and the fact that E(Bˆ) = β and var(Bˆ) = σ2/ Sxx to show that Y0 – (Aˆ + Bˆx0) is a random variable having a normal distribution with zero mean and the variance Here Y0 ...Use the formula for t of Exercise 14.28 to show that if the assumptions underlying normal regression analysis are met and β = 0, then R2 has a beta distribution with the mean 1 / n – 1. In exercise Given the joint density Show that µY|x = 1 + 1/x and that var(Y|x) does not exist. Use the coding of Exercise 14.15 to rework both parts of Exercise 14.45. In exercise When the x’s are equally spaced, the calculation of and can be simplified by coding the x’s by assigning them the values . . . ,- ...With reference to Exercise 14.45, construct a 98% confidence interval for the regression coefficient β. In exercise The following data pertain to the chlorine residual in a swimming pool at various times after it has been ...Post your question