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For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to nd that the

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For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to nd that the value of the linear correlation coeicient is r = 0.894. Using or = 0.05. determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? ' : ' - ;I:I if; : :> a l: \"9:\" o:1:. a. Is there a linear correlation between chest size and weight? J' A. Yes. because the absolute value of the test statistic exceeds the critical value of 0.707. B. Yes, because the test statistic falls between the critical values of - 0.707 and 0.707. c. No. because the absolute value of the test statistic exceeds the critical value of 0.7074 0. 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? E (Round to three decimal places as needed.) Table of Critical Values 88585838383363=60umu5 883 NOTE: To test Ho: ,. = 0 against H.: p s 0, reiect Ho It the absolute value of I is greater than the critical value in the table

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