Multiple Regression Example 1
An M.B.A. program that was started two decades ago wanted to analyze the factors that affect student performance. The dean of the Rinker School of Business decided to build a multiple regression model where the dependent variable is the M.B.A. grade point average (GPA) for each of 100 randomly selected M.B.A. students who graduated in the past 3 years. The independent variables are the undergraduate GPA, the Graduate Management Admissions Test score (GMAT), and the number of years of work experience prior to entering the program. 
  • Conduct a multiple regression analysis.
  • Briefly describe what the coefficients tell you.
  • Test to determine which independent variables affect the dependent variable. Use " = .05.
  • Assess the model's fit.
  • Can we infer at the 5% significance level that the regression model is valid in analyzing the variables that affect M.B.A. GPA?
  • Predict the M.B.A. GPA for an applicant whose undergraduate GPA is 8, GMAT score = 630, and who has worked for 5 years.

     

The Commands
     

The Results

The Scatterplots
   
   

 

The Regression Equation

       y = .530 + .08236(x1) + .01092(x2) + .09275(x3)

                    y = .530 + .08236(UnderGPA) + .01092(GMAT) + .09275(Work)

        y = .530 + .08236(8) + .01092(830) + .09275(5)

        y = .530 + .65888 + 9.0636 + .46375

        y = 10.7162


On to Multiple Regression Examples - Part II

 ©2009 David M. Compton, Ph.D.