Physical fitness testing is an important aspect of

Chapter , Problem 7.87

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Physical fitness testing is an important aspect of athletic training. A common measure of the magnitude of cardiovascular fitness is the maximum volume of oxygen uptake during strenuous exercise. A study was conducted on 24 middle-aged men to determine the influence on oxygen uptake of the time required to complete a two-mile run. Oxygen uptake was measured with standard laboratory methods as the subjects performed on a treadmill. The work was published in Maximal Oxygen Intake Prediction in Young and Middle Aged Males, Journal of Sports Medicine 9, 1969, 1722. The data are as follows: y, Maximum x, Time Subject Volume of O2 in Seconds 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 42.33 53.10 42.08 50.06 42.45 42.46 47.82 49.92 36.23 49.66 41.49 46.17 46.18 43.21 51.81 53.28 53.29 47.18 56.91 47.80 48.65 53.67 60.62 56.73 918 805 892 962 968 907 770 743 1045 810 927 813 858 860 760 747 743 803 683 844 755 700 748 775 (a) Estimate the parameters in a simple linear regression model. (b) Does the time it takes to run two miles have a significant influence on maximum oxygen uptake? Use H0: 1 = 0 versus H1: 1 = 0. (c) Plot the residuals on a graph against x and comment on the appropriateness of the simple linear model.

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