For a sample of eight​ bears, researchers measured the distances around the​ bears' chests and weighed...

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For a sample of eight​ bears, researchers measured the distancesaround the​ bears' chests and weighed the bears. Minitab was usedto find that the value of the linear correlation coefficient isr=0.931 Using alphaα=​0.05, determine if there is a linearcorrelation between chest size and weight. What proportion of thevariation in weight can be explained by the linear relationshipbetween weight and chest​ size?

a. Is there a linear correlation between chest size and​weight?

A.​Yes, because the absolute value of r exceeds the criticalvalue of 0.707

B.​No, because the absolute value of r exceeds the criticalvalue of 0.707.

C.​Yes, because r falls between the critical values of −0.707and 0.707.

D. The answer cannot be determined from the giveninformation.

b. What proportion of the variation in weight can be explainedby the linear relationship between weight and chest​ size?

Answer & Explanation Solved by verified expert
3.9 Ratings (572 Votes)
SolutionGivenSample size n 8the linear correlation coefficient is r 0931005We have to test if there is a linear correlation between chestsize and weightPart a Is there a linear correlation betweenchest size    See Answer
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