Question

QUESTION 7

1. Individuals are assigned a happiness score (H) and a contentment score (C). Both take values in the interval (0-100), with 100 representing total happiness or contentment respectively. For a sample of 245 individuals, it is found that the correlation between H and C is 0.32.
   
   If we define an unhappiness score, U=100-H and a discontentment score D=100-C, then the correlation between U and D for these 245 individuals is equal to

   a		-0.32
   b		0.32
   c		cannot be determined from the information provided
   d		-0.68
   e		0.68

Answer 1

Solution:

Given: For a sample of 245 individuals, the correlation between H and C is 0.32.

That is r = 0.32

Since correlation coefficient is independent of change of origin there is no effect on new variables U and D

Let

Where U = 100 - H and D = 100 - C

Thus we get:

Thus correlation between U and D is 0.32

Thus correct option is b. 0.32