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 r is a measure of the strength of linear association between two variables. The possible values of r range from -1 to 1, with values closer to -1 or 1 indicating a stronger linear relationship. A value of 0 indicates no linear relationship. In this case, r = .40, which means there is a moderate positive linear relationship between geographical mobility and number of friends. The square of the correlation coefficient (r²) represents the proportion of variation in one variable that is explained by the other variable. Therefore, r² = .16, meaning that 16% of the variation in number of friends can be explained by geographical mobility. So, option D is the correct interpretation.

In a Study of the Relationship Between Geographical Mobility (Number