Did the estimated regression equation provide a good fit

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Out-of-state tuition and fees at the top graduate schools of business can be very expensive, but the starting salary and bonus paid to graduates from many of these schools can be substantial. The following data show the out-of-state tuition and fees (rounded to the nearest $1000) and the average starting salary and bonus paid to recent graduates (rounded to the nearest $1000) for a sample of 20 graduate schools of business (U.S. News & World Report 2009 Edition America's Best Graduate Schools).

School  Tuition & Fees($1000s) Salary & Bonus($1000s)
Arizona State University 28 98
Babson College  35 94
Cornell University  44 119
Georgetown University 40 109
Georgia Institute of Technology 30 88
Indiana University-Bloomington  35 105
Michigan State University 26 99
Northwestern University 44 123
Ohio State University  35 97
Purdue University-West Lafayette 33 96
Rice University 36 102
Stanford University 46 135
University of California-Davis  35 89
University of Florida 23 71
University of Iowa 25 78
University of Minnesota-Twin Cities  37 100
University of Notre Dame  36 95
University of Rochester  38 99
University of Washington 30 94
University of Wisconsin-Madison 27 93

.a. Develop a scatter diagram with salary and bonus as the dependent variable.

b. Does there appear to be any relationship between these variables? Explain.

c. Develop an estimated regression equation that can be used to predict the starting salary and bonus paid to graduates given the cost of out-of-state tuition and fees at the school.

d. Test for a significant relationship at the .05 level of significance. What is your conclusion?

e. Did the estimated regression equation provide a good fit? Explain.

f. Suppose that we randomly select a recent graduate of the University of Virginia graduate school of business. The school has an out-of-state tuition and fees of $43,000. Estimate the starting salary and bonus for this graduate.

Reference no: EM13949438

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