Question

Ten handwritings were ranked by two judges in a competition. The rankings are given below. Calculate the correlation coefficient r to measure the closeness of the two rankings. Handwriting Sample А в 1 C D E F G H I | 3 8 | 5 4 7 10 1 | 2 | 6 | 9 Judge Judge | 4 | 7 5 | 10 3 2 1 9 8 a) -0.394 b) 0.260 OC) -0.260 d) 0.394

Answer 1

(x-xbar)*(y-ybar) (x-xbar)^2 (y-ybar)^2 X y 3 -1.25 6.25 0.25 4 -3.75 6.25 2.25 2.25 7 -0.75 0.25 4 5 0.75 2.25 0.25 7 10 6.75 2.25 20.25 10 3 -11.25 20.25 6.25 1 2 15.75 20.25 12.25 2 15.75 12.25 20.25 6 9 1.75 0.25 12.25 8.75 12.25 6.25 82.5 55 55 32.5 82.5 sum 5.5 5.5 mean LO NLn

Judau 1 rank LTudge 2 Correlation Coaliast r ECx-) CY-) E(x-X) -7 Men cy) Y X Men (X) 8=(x-X) ECY-)82.5 32 5 ( (X-X)3 32 5 = 32 :5 83.S 25 x82.5 O.3g4 d) o 394 Optien dis lerrd
# correlation coefficient is 0.394

Option D is correct