Answer:
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.
[tex]H_0: r=0\\H_1: r\neq 0[/tex]
(Two tailed test at 5% level for correlation coefficient)
Test statistic t = [tex]\frac{r\sqrt{n-2 } }{\sqrt{1-r^2}} \\=5.791[/tex]
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
