Respuesta :
Answer:
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: [tex]H_0[/tex]= There is no linear correlation between the chest size and weight
Alternative Hypothesis : [tex]H_a[/tex]=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 : [tex]t=\frac{r\sqrt{n-2}}{\sqrt{1-r^2}}[/tex]
[tex]t=\frac{0.882\sqrt{8-2}}{\sqrt{1-(0.882)^2}}[/tex]
[tex]t=4.584[/tex]
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 = [tex]r^2 = (0.082)^2=0.006724[/tex]
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
