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. Mintab was used to find that the valus of the Inear correlation coeficent is 791 Using ? 0.06. determene if there ts a linear co melanon between chest tze and we t What prop ton ofta vanaon weght can be explained by the Iinear relationship bebween weight and chest size? Chek here to a. Is there a linear correlation between chest size and weight? ?, Yes, because absolute value of the test stattic exceeds the entel sake of 0 707 No, because the absolute value of the test statste eeceeds the crncal value of 0.707 Yas, because the test statistic fals between the critical vakues of-0.707 and 0 787 The answer carrot be detemined from the given information O H D. b. What progotion of the variation in weight can be explained by the inear relationship betwreen weight and chest size7 Round to three dscimal places as needed >

Explanation / Answer

Solution b: The proportion of variation in weight can be explained by the linear relationship between weights and chest size is 0.626

Given,

r= 0.791

r^2= 0.791*0.791= 0.625681= 0.626

0.626 proportion of variation in weight can be explained by the linear relationship.

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