Question

Perform rank correlation analysis on the following data set:

x	y
-3	-0.3
-2.15	-0.3
-1.25	-0.4
-0.35	-0.6
0.6	0.7
1.5	1.1
2.5	1.1
3.4	-0.7

What is the rank correlation coefficient?  (Round to three decimal places.)

What is the critical rho value at a 0.05 significance?

Do we have correlation?

• No, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
• No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.
• Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
• Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value.

Answer 1

di d2 1 x y Rx Ry 4 +3.5 .5 4.5 12.25 6.25 s 7 6 - 2 -3 -2.15 -1.25 -0.35 0.6 1.5 2.5 3.4 -0.3 8 -0.3 -0.4 6 -0.6 0.7 1.1 111 -0. 7 5 4 3 2 7 3 1.5 1.5 1.5 0.5 -7 2.25 0.25 49 8 5 d. ²75 spearman's Rank corrla coeff. (with repeatation) 3= 1-6({d? - F) n(n²-1) n= F = No. of obs. m(m²-1) = no. of times when & Here ~0.3 two observations are & til in Y obs. repeated F = fo.3 + fini F = 2 (2-) + 2(22.1) FOREVER 12

. yes, there is correlation smaller The rank than the correlation coeff. is critical tho value.