Question

please only answer the question if you ate sure of your answer.

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. 70 70 80 105 12010 0 1475 1480 2200 S SS 4. Sxx = 2,613,030.357, Syy = 37.4221, Sxy=7581.289. A scatter plot shows alinear 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 ... State the appropriate null and alternative hypotheses. Ho: p=0 Hp.0 Ho: 2 - 0 Hapo Ho: P+ Hyp- Ho: P-0 Hip > 0 ooo 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 two decimal places and your p-value to three decimal places.) State the conclusion in the problem context Reject Ho. A positive correlation does not exist between maximum lactate level and muscular endurance, Fail to reject Ho. A positive correlation does not exist between maximum lactate level and muscular endurance. Fail to reject Ho. A positive correlation exists 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.

Answer 1

there is a Test to see whether positive conelatin. test statistic a una (to) vinr LA pa population Nuu nippothen: Ho: p2o. Correlation Alternate " Hapso Coefficient pa sample correlation coefficient 2= level of significance 0.05 Testing rule - if ovn.2 y tapsin-2 we reject Ho at 1000% level of significance on the bansa ginen dala Sample Correlation coeffiunt an > + (xi-Sc) (y-7) 0.0001 VIA-2 - Sample V-0.0001 / 214 ~ 0.0003 ~ 0.001 rauded finally p-value - Pr Tura > 0.0003] 0.4998828 front table * 0.4999 N 0.500 Grounded) > a = 0.05 to/2;n-2 sto.025; 12 = 2.18. to we reject fail to reject the nell hypothesis ang-value yo and statistics to <tc/2i4-2 (crinical Value) • fail to reject Ho:p=0, A positive Correlation does not exist belucen maximum lactate level and nescalar endurance. . in hendurance (b) pra propertion portion of variation explained of clactate loved) x x by regression equation So aus - propool ~ 0.000D DOO1 (as there is no ~0.0000 com 0 (A ) . Covariance (x,y) I variance (x) x Variance (o Syx sland and dwictan Sxx Syy of xey, Soodbyy 7581.289 respectively 2013 030-357 * 39.4221 ~ 0.000078 0.0001 (rounded) - finally correlation)

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