Question

Perform rank correlation analysis on the following data set: х у -3 -0.7 -2.35 -0.9 -1.95 -1.3 -1.35 -0.3 -0.85 0.1 -0.45 -0.3 -0.05 0.8 0.45 -0.2 1 0.9 1.7 2.2 0.5 2.9 1.1 3.6 0.2 4.3 -0.8 4.7 -0.1 5.35 -0.9 0.5 1 6.05 The scatterplot looks like this: https://www.youtube.com/watch?v=MSNHBYNKS esc F1 F2 BO F3 000 000 F4 ! % 2 3 4 5

Answer 1

Solution: We have to find sank Coreelation coefficient f ceiticol volue at 0.01 significance Formwo: The Speartman's Bank coteelation coefficient is, 6 ED2 N3_N where, D = difference bet the banks of each item N= No. of pairs of obsequation felom the given data, the obseevation table as follows: Obseevation table Х Ri= Xrank Ra=yRank D=R-R2 D2 y 1 16 2 -3 -0.7 -2.35 -0.9 -1.95 -1.3 2 -0.5 0.25 3 3 - 2 4 4 1-1.35 4 6.5 -2.5 6.25 5 -0.85 0.1 5 25 6 -0.45 -0.3 6 6.5 -0.5 0,25 7 -0.os - 7 49 Nco 14 8 co 0.45 -0.2 co 0 9 0.9 le 15 6 36 36 1 16. 2.2 2.25 12 2.9 12 12.5 17 110 -5 25 13 0,2 13 2 3.6 4.3 14 4 loo 4 10 15 1-O. 15 6. 36 16 5.35 -0.9 2.5 17 6.05 16 17 0.5 13.5 4.5 12.5 182.25 20.25 ID²=542.5