Refer to the Biology of Sport (Vol. 31, 2014) study of the physiological performance of top-level water polo players, Exercise 11.24 (p. 598). Recall that the in-game heart rate (y, expressed as a percentage of maximum heart rate) of a player was modeled as a straight-line function of the player's maximal oxygen uptake (x, VO2max). A researcher desires an estimate of the average in-game heart rate of all top-level water polo players who have a maximal oxygen uptake of 150 VO2max.
a. Which interval is desired by the researcher, a 95% prediction interval for y or a 95% confidence interval for E(y)? Explain.
b. Use statistical software to compute the desired interval.
c. Give a practical interpretation of the interval.