1. Athletes are constantly seeking measures of the degree of their cardiovascular fitness prior to a major race. Athletes want to know when their training is at a level which will produce a peak performance. One such measure of fitness is the time to exhaustion from running on a treadmill at a specied angle and speed. The important question is then \"Does this measure of cardiovascular fitness translate into performance in a 10km running race?" Twenty experienced distance runners who professed to be at top condition were evaluated on the treadmill and then had their times recorded in a 10km race. The data are given here Treadmill 10-km Time Time (minutes) (minutes) 7.5 43.5 7.8 45.2 7.9 44.9 8.1 41.1 8.3 43.8 8.7 44.4 8.9 42.7 9.2 43.1 9.4 41.8 9.8 43.7 a. Create a scatter XY plot. Does a linear model seem appropriate? b. Reproduce the Excel or Minitab output. obtain the estimated linear regression model y=b0+le, and its correlation coefficient r. c. Estimate SE\" d. Identify the standard error of the slope B1 . e. Place a 95% condence interval on B1. f. Test the hypothesis that there is a linear relationship between the amount of time needed to run a 10 km race and the time to exhaustion on a treadmill. Use (1:0 .05