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 regressioncalculations. (Round your answer to four decimal places.) 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 4107407607908401,0151,1901,2601,2901,3901,4651,4701,5152,190y 3.904.104.805.303.903.406.206.987.654.857.904.556.508.80S, = 2,615,458.929, S = 38.0587, S = 7,437.889. A scatter plot shows a linear pattern.XXху(a) Test to see whether there is a positive correlation between maximal lactate level and muscular endurance in the population from vwhich this data was selected. (Use a = 0.05.)State the appropriate null and alternative hypotheses.O Hn: p = 0Hip > 0O H,: p = 0Hip +0O Hoi p+0Hip = 0O H,: p =0H:p<0Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.)r=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.O Fail to reject H. A positive correlation exists between maximum lactate level and muscular endurance.O Fail to reject H. A positive correlation does not exist between maximum lactate level and muscular endurance.O Reject H,. A positive correlation exists between maximum lactate level and muscular endurance.O Reject H. A positive correlation does not exist 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 regressioncalculations. (Round your answer to four decimal places.)

Solution: Given information: n= 14 observation Sxx= 26154588.929Syy= 38.0587Sxy= 7437.889

Answered: The authors of a paper presented a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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