Answer Happy

13. [-13 Points) DETAILS DEVORESTAT9 12.5.061.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 390 760 780 810 860 1,035 1,190 1,260 1,290 1,410 1,485 1,490 1,495 2,190 3.90 3.90 5.00 5.10 3.90 3.60 6.20 6.78 7.45 4.85 7.90 4.55 6.50 8.80 YY xy Sxx = 2,600,373.214, 5,= 35.4599, 5x = 7,339.051. A scatter plot shows a linear pattern. (a) Test to see whether there is a positive correlation between maximal lactate level and muscular endurance in the population from which this data was selected. (Use a = 0.05.) State the appropriate null and alternative hypotheses. OH: = 0 Hip > 0 OH : p = 0 H: 0 OH:p = 0 Hipo OH,: =0 H: 0 = 0 Compute the value of the sample correlation coefficient. r. (Round your answer to four decimal places.) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H. A positive correlation does not exist between maximum lactate level and muscular endurance. Fail to reject H. A positive correlation exists between maximum lactate level and muscular endurance. Fail to reject Ho. A positive correlation does not exist between maximum lactate level and muscular endurance. Reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. (b) If a regression analysis were to be carried out to predict endurance from lactate level, what proportion of observed variation in endurance could be attributed to the approximate linear relationship? Answer the question without doing any regression calculations. (Round your answer to four decimal places.) If a regression analysis were to be carried out to predict lactate level from endurance, what proportion of observed variation in endurance could be attributed to the approximate linear relationship? Answer the question without doing any regression calculations. (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It Watch it Master it