The registrar at a local university believes that decreases in the number of first-year applications that have been experienced are directly related to tuition increases. They have collected the following enrollment and tuition data for the past decade:

a. Develop a linear regression model for these data and fore-cast the number of applications for the university if tuition increases to $10,000 per year and if tuition is lowered to $7000 per year.
b. Determine the strength of the linear relationship between first-year applications and tuition using correlation.
c. Describe the various planning decisions for the university that would be affected by the forecast for first-year applications.

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First-Year Annual Year Applications Tuition ($) 6010 3600 5560 3600 6100 4000 5330 4400 5 4980 4500 5870 5700 7 5120 6000 4750 6000 9. 4615 7500 4100 10 8000 3. 4)