Calculate Karl Pearson's coefficient of correlation between the values of X and Y for the following data:

Assume 69 and 112 as the mean values for X and Y respectively.

Explanation

`r=(sumdxdy-((sumdx) xx(sumdy))/(N))/(sqrt(sumdx^(2)=((sumdx)^(2))/(N))xx sqrt(sumdy^(2)-((sumdy)^(2))/(N)))`
`=(2,116-((47)xx(108))/(8))/(sqrt(1,475-((47)^(2))/(8))xxsqrt(3,468-((108)^(2))/(8)))`
`=(2,116-634.5)/(sqrt(1,475-276.125)xxsqrt(3,468-1,458))=(1,481.5)/(sqrt(1,198.875)xxsqrt(2,010))=(1,481.5)/(34.62xx44.83)=(1,481.5)/(1,552.0146)=0.955`
Coefficient of Correlation (r)=0.955