Consider the enrollment data for Business Week’s top 50 U.S. graduate business programs in the file P16_16.xlsx. Use these data to estimate a multiple regression model to assess whether a systematic relationship exists between the total number of full-time students and the following explanatory variables: the proportion of female students, the proportion of minority students, and the proportion of international students enrolled at these distinguished business schools.

a. Interpret the coefficients of your estimated regression model. Do any of these results surprise you?

Explain.

b. How well does your estimated regression model fit the given data?