Question

Calculate the correlation cofficient between X and Y and comment on their relationship.

Answer 1

`bar(X)=(sumX)/(N)=(0)/(6)=(sumY)/(N)=(28)/(6)=4.67`
Here, `sumxy=0, sumx^(2)=28, sumy^(2)=65.34`
`r=(sumxy)/(sqrt(sumx^(2)xxsumy^(2)))=(0)/(sqrt(28xx65.34))=0`
Correlation coefficient (r)=0
Since r=o , the two variables X and Y are uncorrelated. That is, there is no linear relationship between X and Y.