Question

Meo Lesson Question 2 (0/1) Question 2 Perform rank correlation analysis on the following data set: X 4 Y 0.2 0.2 -0.6 -0.3 -0.7 -2.75 -2.25 -1.6 -1.1 -0.35 0.4 0.95 1.73 2.35 0.1 0.7 0.3 -0.1 -0.7 -1.1 3.65 4.85 5.4 -0.5 The scatterplot looks like this:

Answer 1

where R1 is ranks of x

Х R1 R2 d=R1-R2 d^2 у 0.2 -4 1 12.5 -11.5 132.25 -3.5 2 12.5 -10.5 110.25 3 6 -3 9 -2.75 -2.25 0.2 -0.6 -0.3 -0.7 -1.8 4 9 -5 25 -1.6 5 4.5 0.5 0.25 -1.1 6 1 5 25 0.1 7 11 -4 16 -0.35 0.40 0.7 8 15 -7 49 0.95 0.3 9 14 -5 25 1.75 1 10 16 -6 36 2.35 -0.1 11 10 1 1 7.5 3 -0.7 4.5 56.25 12 13 -1.1 3 10 100 3.65 4.3 -1.4 14 2 12 144 00 N 4.85 -0.4 15 7 49 81 5.4 -0.5 16 7 9 Total 859

R2 is ranks of y

n= 16, m1 =2, m2 =2

critical rho value at 0.05 significance is 0.506

Rank correlation coefficient is R=t- +금(mm) + 2 (mn)) 3 n -n 859+름 1 - =1 (22) + (2 16 16 인 6x 860 21 [G] 162 16 R - - 0.2647

Do we have correlation?

No. The rank correlation coefficient is smaller ( in absolute value) than critical rho value