College basketball is big business, with coaches' salaries, revenues, and expenses in millions of dollars. The file College Basketball contains the coaches' salaries and revenues for college basketball at 60 of the 65 schools that played in the 2009 NCAA men's basketball tournament (data extracted from "Compensation for Division 1 Men's Basketball Coaches," USA Today, April 2, 2010, p. 8C; and C. Isadore, "Nothing but Net: Basketball Dollars by School," money.cnn.com/2010/03/18/news/companies/ basketball_profits/).
a. Compute the covariance.
b. Compute the coefficient of correlation.
c. Based on (a) and (b), what conclusions can you reach about the relationship between coaches' salaries and revenues?