The following homework questions are due by the end of the week (Sunday, Oct. 10). All work should be shown and the assignment should be scanned and uploaded into the correct assignment tab in the blackboard site for the course.

Show your work, the formulas used, and the substitutions to answer the questions about the following data:

Do people run slower as they get older? To try to answer this, I examined the winning person in each age group at the 2019 New York City Marathon. The winner's age (in years) and finish time (in hours) are in the below chart:

Age: 31 38 42 45 51 55 60 68 71 75

Finish Time: 2.17 2.05 2.02 2.43 2.47 2.80 2.92 3.17 3.18 3.87

1. Create a scatter plot of the data
2. Find the equation of the regression line
3. Calculate the correlation coefficient.
4. Is there a significant correlation between age and the winning time in the NYC Marathon? Use =.05.
5. Calculate the coefficient of determination. What does this value say about the relationship between age and the winning time in the NYC Marathon?
6. What would you expect the winning time in the NYC Marathan to be for a person who is 50 years old?
7. Create a 90% prediction interval for the winning time in the NYC Marathon for a person who is 50 years old.