Author Question: (Situation P) Below are the results of a survey of America's best graduate and professional schools. ... (Read 422 times)

RRMR · **on:** Feb 14, 2020

(Situation P) Below are the results of a survey of America's best graduate and professional schools. The top 25 business schools, as determined by reputation, student selectivity, placement success, and graduation rate, are listed in the table. For each school, three variables were measured: (1) GMAT score for the typical incoming student; (2) student acceptance rate (percentage accepted of all students who applied); and (3) starting salary of the typical graduating student.

School

GMAT

Acc. Rate

Salary

1.

Harvard

644

15.0% $

63,000

2.

Stanford

665

10.2

60,000

3.

Penn

644

19.4

55,000

4.

Northwestern

640

22.6

54,000

5.

MIT

650

21.3

57,000

6.

Chicago

632

30.0

55,269

7.

Duke

630

18.2

53,300

8.

Dartmouth

649

13.4

52,000

9.

Virginia

630

23.0

55,269

10.

Michigan

620

32.4

53.300

11.

Columbia

635

37.1

52,000

12.

Cornell

648

14.9

50,700

13.

CMU

630

31.2

52,050

14.

UNC

625

15.4

50,800

15.

Cal-Berkeley

634

24.7

50,000

16.

UCLA

640

20.7

51,494

17.

Texas

612

28.1

43,985

18.

Indiana

600

29.0

44,119

19.

NYU

610

35.0

53,161

20.

Purdue

595

26.8

43,500

21.

USC

610

31.9

49,080

22.

Pittsburgh

605

33.0

43,500

23.

Georgetown

617

31.7

45,156

24.

Maryland

593

28.1

42,925

25.

Rochester

605

35.9

44,499

The academic advisor wants to predict the typical starting salary of a graduate at a top business school using GMAT score of the school as a predictor variable. A simple linear regression of SALARY versus GMAT using the 25 data points in the table are shown below.
-----------------------------------------------------------------------
β₀ = -92040

1 = 228 s = 3213 r² = .66 r = .81 df = 23 t = 6.67
-----------------------------------------------------------------------

For the situation above, give a practical interpretation of

1 = 228.
◦ The value has no practical interpretation since a GMAT of 228 is nonsensical and outside the range of the sample data.
◦ We expect to predict SALARY to within 2(228) = $456 of its true value using GMAT in a straight-line model.
◦ We estimate GMAT to increase 228 points for every $1 increase in SALARY.
◦ We estimate SALARY to increase $228 for every 1-point increase in GMAT.

joneynes · **Reply #1 on:** Feb 14, 2020

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