The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper.
x 400 740 770 790 850 1015 1190 1240 1290 1410 1475 1480 1505 2200
y 3.80 4.10 5.00 5.30 3.90 3.60 6.40 6.88 7.55 4.95 7.70 4.45 6.50 8.90
Sxx = 2,648,130.357, Syy = 36.7376, Sxy = 7408.225.
(a) Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places.
(b) Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)