1. We are interested in determining if a persons age directly impacts their time running a half marathon. The following data from 10 runners is provided:

Age	Half Marathon Time (In Minutes)
19	153
25	109
29	146
32	119
37	103
40	84
46	120
55	111
64	117
73	114

a. Which one is the independent variable and which one is the dependent variable?

b. Find b1.

c. Find b0.

d. Find SST.

e. Find SSR.

f. Find SSE.

g. Find the coefficient of determination.

h. Find the correlation coefficient.

i. Find s2.

j. Find the test statistic for testing if b1 is significant or not.

k. What conclusion would you make based on the test statistic found above (use .05 confidence level)?

l. Find the 95% confidence interval for 1.

m. Assuming someone is 35 years old, what half marathon time would you expect them to have?

n. Assuming someone is 35 years old, what is the 90% confidence interval for their expected half marathon time?

o. Assuming someone is 35 years old, what is the 90% prediction interval for their expected half marathon time?