Physical fitness testing is an important aspect of athletic training. A common measure of the magnitude of

Question:

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 €œMaximal Oxygen Intake Prediction in Young and Middle Aged Males,€ Journal of Sports Medicine 1969, 17€“22. The data are as follows:
y, Maximum Subject Volume of O2 in Seconds T, Time 918 805 892 42.33 53.10 42.08 3 4 50.06 962 5 42.45 968 907 42.46 770

y, Maximum Subject Volume of O2 in Seconds T, Time 918 805 892 42.33 53.10 42.08 3 4 50.06 962 5 42.45 968 907 42.46 770

(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: Î²₁ = 0 versus H₁: Î²₁ ‰ 0.
(c) Plot the residuals on a graph against x and comment on the appropriateness of the simple linear model.