If ∑(X−¯¯¯¯¯X)(Y−¯¯¯¯Y) = 90, ∑(X−¯¯¯¯¯X)2 = 144, ∑(Y−¯¯¯¯Y)2 = 250 and N= 50, what is Karl Pearson's correlation coefficient?
r= ∑(X−¯¯¯¯X)(Y−¯¯¯¯Y)√∑(X−¯¯¯¯X)2√∑(Y−¯¯¯¯Y)2=90√144√250=90189.73=0.474
Find Karl Pearson's correlation coefficient if N = 50, ∑X=75,∑Y=80,∑X2=130,∑Y2=140 and ∑XY=128.