Find the coefficient of correlation from the following data:

Explanation

`bar(X)=(sumX)/(N)=(125)/(8)=15.625,`
`bar(Y)=(sumY)/(N)=(337)/(8)=42.125`
Since the actual means are not whole number , we take 16 as assumed mean for X and 42 as assumed mean for Y.
Applying the formula,
`r=(sumdxdy-((sumdx) xx(sumdy))/(N))/(sqrt(sumdx^(2)=((sumdx)^(2))/(N))xx sqrt(sumdy^(2)-((sumdy)^(2))/(N)))`
`=(138-((-3)xx(1))/(8))/(sqrt(71-((-3)^(2))/(8))xxsqrt(283-((1)^(2))/(8)))`
`=(138-(-0.375))/(sqrt(71-1.125)xx sqrt(283-0.125))`
`=(138+0.375)/(8.36xx16.82)`
`=(138.375)/(140.6152)`
`+0.98`
Coefficient of Correlation (r)=+0.98