Which if any of the values listed below for a correlation co

Which, if any, of the values listed below for a correlation coefficient indicate a situation where more than half of the variation in one variable is associated with variation in the other variable?

Select one:

a. -.7

b. 1

c. 3

d. 6

Solution

a and b are vallid correlation, c and d are not valid, because it should be between -1 and 1

Variation explaiend = R^2

a) R^2 = 0.49 = 49% is less than 50% so this is not correct

b) R^2 = 1 = 100%, this is the desired one because variation explained is mroe than 50%

Answer: b. 1