For a sample of eight bears, researchers measured the distances around the bears

Question

For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r 0.785. Using ? 0.05 determine here is a linear correlation between chest size and weight. What proportion o he variation in weight can be explained by the near relationship between we and che size a. Is there a linear correlation between chest size and weight? A. No, because the absolute value of the test statistic exceeds the critical value of 0.707 y B. Yes, because the absolute value of the test statistic exceeds the critical value of 0707 C. Yes, because the test statistic falls between the critical values of 0.707 and 0.707. D. The answer cannot be determined from the given information. b. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? (Round to three decimal places as needed.)

Explanation / Answer

B) Proportion of the variation can be explained by the linear relationship

= 0.785*0.785

= 0.616

So, answer is 0.616

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