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: = 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