In a study of the relationship between geographical mobility (number of times a person has changed residences)and number of friends,Pearson's r2 is reported as .40.Which of the following would be a correct interpretation?
A)Mobility explains 16% of the variation in number of friends.
B)There is a strong positive relationship between number of friends and mobility.
C)As mobility increases,number of friends decreases.
D)Mobility explains 40% of the variation in number of friends.

Question

Quizplus · Accepted Answer

Pearson's r2 is the coefficient of determination, which represents the proportion of variance in one variable that is explained by the other variable. Therefore, a coefficient of determination of .40 means that 40% of the variation in number of friends can be explained by geographical mobility.

In a Study of the Relationship Between Geographical Mobility (Number