To find out whether employees are interested in joining a union, a manufacturing company hired an employee relations firm to survey attitudes toward unionization. In addition to a rating of their agreement with the statement “I do not think we need a union at this company” (on a 1–7 Likert scale), the firm also recorded the number of years of experience and the salary of the employees. Both of these are typically positively correlated with agreement with the statement.
(a) In building a multiple regression of the agreement variable on years of experience and salary, would you expect to find collinearity? Why?
(b) Would you expect to find the partial slope for salary to be about the same as the marginal slope, or would you expect it to be noticeably larger or smaller?