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 = 0.921. using α = 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?
a) is there a linear correlation between chest size andweight? b) what proportion of the variation in weight can be explainedby the linear relationship between weight and chest size?

There is a linear correlation between chest size and weight,0.8482

Step-by-step explanation:

Given that for a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears.

the value of the linear correlation coefficient is r = 0.921.

i.e. there is a strong positive correlation from the value of r.

(Two tailed test at 5% level for correlation coefficient)

Test statistic t =

p value <0.00001

Since p is less than 0.05 we reject H0

a) There is a  linear correlation between chest size andweight

b)--  R^2 = 0.8482 proportion of the variation in weight can be explainedby the linear relationship between weight and chest size

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