Refer to the Wall Street Journal (Sep. 25, 2005) Business School Survey, Exercise 11.25. If you pay more in tuition to go to a top business school, will it necessarily result in a higher probability of a job offer at graduation? Let y = percentage of graduates with job offers and x = tuition cost; then fit the simple linear model, E(y) = β0 + β1x, to the data in the file. Is there sufficient evidence (at α = .10) of a positive linear relationship between y and x?
Exercise 11.25
Each year, the Wall Street Journal and Harris Interactive track the opinions and experiences of college recruiters for large corporations and summarize the results in the Business School Survey. One of these surveys included rankings of 76 business schools. Survey data for the top 10 business schools are given in the table above. All the data are saved in the file.

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Avg Salary Enrollment Annual Tuition % with Job Offer School (8 full-time students) Mean GMAT 119,800 105,986 95,531 117060 104,018 117471 112,699 126.319 92.565 8883 Dartmouth Michigan Carnegie Mellon Northwestern 38.400 33.076 704 690 691 1873 91 661 468 281 855 38,844 36,800 40.458 21.512 38290 16.375 37558 Pennsylvania Cal. Berkeloy Columbia North Carolina Southern Cal. 716 701 709