GRE Scores The quantitative reasoningscores on the

Chapter 13, Problem 30

(choose chapter or problem)

GRE Scores The quantitative reasoningscores on the Graduate Record Examination(GRE)7 were recorded for students admitted tothree different graduate programs at a local university.This data was analyzed in Exercise 11.27 using theanalysis of variance for a completely randomizeddesign.Graduate ProgramLife Sciences Physical Sciences Social Sciences630 660 660 760 440 540640 660 640 670 330 450470 480 720 700 670 570600 650 690 710 570 530580 710 530 450 590 630a. Write the theoretical model relating the GRE scoreto the qualitative variable graduate program usingtwo dummy (indicator) variables to representthe three graduate programs.b. Use a computer package to analyze the data with amultiple regression analysis. Is there sufficientevidence to indicate a difference in the averagescores between the students who have been admittedto the three graduate programs? Use a .05.c. Comment on the fit of the model and any regressionassumptions that may have been violated.Summarize your results in a report, including printoutsand graphs if possible