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 regressionmodels.

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TOTAL COST (S) CATEGORY Public Public Public Public Public Public Public Public Public Private Private Private Private Private Private Private Private Private 21,700 15,600 16,900 15,400 23,100 21,400 16,500 23,500 20,200 30,400 41,500 36,100 42,100 27,100 34,800 32,100 31,800 32,100 MEDIAN SAT 1990 1620 1810 1540 1540 1600 1560 1890 1620 1630 1840 1980 1930 2130 2010 1590 1720 1770