Question

Calculate the correlation cofficient between the heights of Fathers in inches (X) and their sons (Y).

Answer 1

`r=(sumdxdy-((sumdx)xx(sumdy))/(N))/(sqrt(sumdx^(2)-((sumdx)^(2))/(N)xxsqrt(sumdy^(2)-((sumdy)^(2))/(N))`
`=(118-(-10)xx(-36)/(8))/(sqrt(156-(-10)^(2))/(8))xxsqrt((36)^(2))/(8))`
`=(118-45)/(sqrt(156-12.5)xxsqrt(356-162))`
`=(73)/(sqrt(143.5)xxsqrt(194))`
`=(73)/(11.98xx13.93)`
`=(73)/(166.88)=0.44`
Correlation coefficient (r)=0.44