o variables were measured for each of eight Olympics male water polo players dur

Question

o variables were measured for each of eight Olympics male water polo players during competition: mean heart rate over the four quarters of the me (expressed as a percentage of maximum heart rate) and maximal oxygen uptake (VO2max). Simulated data are shown in the accompanying le. Spearman's rank correlation between the two variables is shown in the accompanying technology printout. Complete parts a through c below here to view the simul D. In this sample, mean heart rate and maximal oxygen update are not associated uses a decrease in maximal oxygen uptake. Player! HR% Rank|VO2Max Rank the data and then calculate rs to verify the result shown on the ntout Rank 54 57 71 146 158 3161 ank the data from least to greatest. Assign tied measurements the average of2 e ranks they would receive if they were unequal but occurred in successive der 68 4.5176 4.5 176 ology Output 6776183 80 193 196 Spearman Correlation Coefficients, N = 8 Prob> rl under HO: Rho 0 Type integers or decimals. Do not ro HRVO2Ma 1.000ooli _ril 0.9583 0.0002 100000 0.95803 1

Explanation / Answer

Here the rank table is given below

Here the difference values are

Here spearman correlation coefficient rs = (xi -x) (yi - y) / sqrt{(xi -x)2 (yi - y)2}

Here spearman correlation coefficient rs = 40/ sqrt [42 * 41.5] = 0.9581

Player HR% Rank VO2Max rank 1 54 1 146 1 2 57 2 158 2 3 71 4 161 3 4 68 3 176 4.5 5 75 5 176 4.5 6 77 6 183 6 7 80 7 193 7 8 88 8 196 8

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