You are given the following summary statistics from a regression analysis: . ( y x SSE

You are given the following summary statistics from a regression analysis:

ˆ

.

(

y x SSE SSX X

 



 

200 150 25 25 Sum of squares Σ x x n

x

− ) ,

.

2 99 645 18 52 0

a. Determine the point estimate for y if xp  48 is used.

b. Provide a 95% confidence interval estimate for the average y, given xp  48. Interpret this interval.

c. Provide a 95% prediction interval estimate for a particular y, given xp  48. Interpret.

d. Discuss the difference between the estimates provided in parts b and c.