The modern Olympic Games have changed dramatically since their inception in 1896. For example, many commentators have remarked on the change in the quality of athletic performances from year to year. Regression will allow us to investigate the change in winning times (in minutes) for one eventthe 1,500 meter race.

Please answer the following questions using technology.

A) The Correlation coefficient.

B)Identify the coefficient of determination and describe it in context.

C) Find the T-test statistic for this T-test for slope.

D) Find the p-value of r for this T-test for slope.

E) Find the equation for the least squares regression line.

F)Predict the time for the year 2016 using the least squares regression line.

YearTime1896273.219002461904245.41908243.41912236.81920241.81924233.61928233.21932231.21936227.81948229.81952225.11956221.21960215.61964218.11968214.91972216.31976219.21980218.41984212.531988215.961992220.121996215.782000212.072004214.192008213.112012214.08