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2. Bruce et al. (1973; American Heart Journal 65, 546-562) investigated the physical conditioning of 51 sedentary male subjects. For each subject, the duration (in seconds) over which the subject could run on a treadmill and the maximum oxygen uptake (VO2Max) was measured. The following shows the results of a simple regression, predicting VO2Max from duration: . regress vozmax duration Source de MS Number of obs = 51 F( 1, 49) 232 . 15 Model 2451. 7758 1 2451. 7758 Prob > F 0. 0000 Residual 517. 496044 19 10.5611438 R-squared 0. 0257 Adj R-squared = 0. 8222 Total 2969.27184 50 59.3854369 Root HSE 3. 2498 volmax Coef. Std. Err. (954 Conf. Interval] duration 0539263 . 0035393 15.24 0. 000 0460139 0610380 4. 767065 2. 200903 2.17 0. 035 344187 9. 189946 a. What is the fitted regression line? (3 points) b. What can you conclude from the results of the regression? (3 points) c. What proportion of the variation in VO2Max is explained by duration? (3 points) d. What is the predicted VO2Max when duration is 600 seconds? (3 points) e. The 95% prediction interval when duration is 660 seconds is (33.7, 47.0). What is your interpretation of this interval? (3 points)