The following data represent the age in years of various peo

The following data represent the age (in years) of various people and the number of days per week they exercise. We are interested in doing a regression analysis on this data to see if age affects how many days per week someone works out.

AgeDays they Exercise

244

186

296

174

615

512

306

244

182

211

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

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

k. What conclusion would you make based on the test statistic found above?

l. Find the 95% confidence interval for .

m. Assuming a person is 40 years old, how many days per week are they expected/predicted to exercise?

n. Assuming a person is 40 years old, what is the 90% confidence interval for the expected number of days of exercise for them?

o. Assuming a person is 40 years old, what is the 90% prediction interval for the expected number of days of exercise for them?

Solution