Question

y	10	11	15	15	20	24	27	32
x1	2	5	5	9	7	11	16	22
x2	16	10	13	10	2	8	7	4

a) Construct a​ 95% confidence interval for the dependent variable when x1=7 and x2=11.

The​ 95% confidence interval is from a lower limit of ___ to an upper limit of ___.

b) Construct a​ 95% prediction interval for the dependent variable when x1=7 and x2=11.

The​ 95% prediction interval is from a lower limit of ___ to an upper limit of ___.

Answer 1

Following is the output of multiple regression analysis generated by excel:

a)

The​ 95% confidence interval is from a lower limit of 13.068 to an upper limit of 18.712.

b)

The​ 95% prediction interval is from a lower limit of 8.321 to an upper limit of 23.459.