The journal Biology of Sport (Vol. 31, 2014) published a study of the physiological performance of top-level water polo players. Eight Olympic male water polo players participated in the study. Two variables were measured for each during competition: y = mean heart rate over the four quarters of the game (expressed as a percentage of maximum heart rate) and x = maximal oxygen uptake (VO2max). The data (simulated, based on information provided in the article) are shown in the accompanying table. The researchers conducted a simple linear regression analysis of the data. A MINITAB printout of the analysis follows.

a. Give the equation of the least squares line.
b. Give a practical interpretation (if possible) of the y-intercept of the line.
c. Give a practical interpretation (if possible) of the slope of the line?

Transcribed Image Text:

Player HR% VO,Max 55 54 148 157 2 3 70 160 4 67 74 179 179 77 180 78 85 194 197 The regression equation is HR* = - 27.2 + 0.558 VO2MAX Predictor Coef SE Coef Constant -27.24 19.77 -1.38 0.217 vO2Max 0.5580 0.1130 4.94 0.003 S - 5.26859 R-Sq - 80.38 R-Sq (adj) - 77.08 Analysis of Variance Source DF MS 1 677.45 677.45 24.41 0.003 6 166.55 7 844.00 Regression Residual Error 27.76 Total