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A sample of nine public universities and nine private universities was taken. The total cost for the year (including room and board) and the median SAT score (maximum total is 2400) at each school were recorded. It was felt that schools with higher median SAT scores would have a better reputation and would charge more tuition as a result of that. The data is in the table below. Use regression to help answer the following questions based on this sample data. Do schools with higher SAT scores charge more in tuition and fees? Are private schools more expensive than public schools when SAT scores are taken into consideration? Discuss how accurate you believe these results are using information related the regression models.

CATEGORY

TOTAL COST ($)

MEDIAN SAT

Public

21,700

1990

Public

15,600

1620

Public

16,900

1810

Public

15,400

1540

Public

23,100

1540

Public

21,400

1600

Public

16,500

1560

Public

23,500

1890

Public

20,200

1620

Private

30,400

1630

Private

41,500

1840

Private

36,100

1980

Private

42,100

1930

Private

27,100

2130

Private

34,800

2010

Private

32,100

1590

Private

31,800

1720

Private

32,100

1770

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