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 requals0.882. using alphaequals0.05, 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?

There is a linear correlation between the chest size and weight

Proportion of the variation in weight can be explained by the linear relationship between weight and chest size is 0.006724 .

Step-by-step explanation:

Null Hypothesis: = There is no linear correlation between the chest size and weight

Alternative Hypothesis : =There is a linear correlation between the chest size and weight

The value of the linear correlation coefficient is r=0.882.

n = 8

Formula :

Degree of freedom = n-1 = 8-1 = 7

α =0.05

so, p value is 2.365

t calculated > t critical

So, we reject the null hypothesis

So, There is a linear correlation between the chest size and weight

The proportion of the variation in weight can be explained by the linear relationship between weight and chest size =

Hence proportion of the variation in weight can be explained by the linear relationship between weight and chest size is 0.006724 and There is a linear correlation between the chest size and weight

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step-by-step explanation: