The Journal of Organizational Culture, Communications and Conflict (July 2007) published a study on women in upper management positions at U.S. firms. Monthly data (n = 252 months) were collected for several variables in an attempt to model the number of females in managerial positions (y). The independent variables included the number of females with a college degree (x1), the number of female high school graduates with no college degree (x2), the number of males in managerial positions (x3), the number of males with a college degree (x4), and the number of male high school graduates with no college degree (x5). Determine which of the correlations reported in parts a-d results in a potential multicollinearity problem for the regression analysis.
a. The correlation relating number of females in managerial positions and number of females with a college degree: r = .983.
b. The correlation relating number of females in managerial positions and number of female high school graduates with no college degree: r = .074.
c. The correlation relating number of males in managerial positions and number of males with a college degree: r = .722.
d. The correlation relating number of males in managerial positions and number of male high school graduates with no college degree: r = .528.