45.Calculate Karl Pearsonβs coefficient of correlation from the following data:
(1) Sum of deviation of X=5 (2) Sum of deviation of Y=4 (3) Sum of squares of deviations of X=40 (4) Sum of squares of deviation of Y=50 (5) Sum of products of deviation of X and Y=32 (6) No. Of pairs of observations =10
ANSWER: r=
βππ₯βππ¦ ββππ₯2ββππ¦2
r= r= r=
32 β40β50 32 β2000 32 β44β7213595
r=0 β 7155