The registrar at State University believes that decreases in the number of freshman 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 forecast the number of applications for State 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 freshman applications and tuition using correlation.
c. Describe the various planning decisions for State University that would be affected by the forecast for freshmanapplications.

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Year Freshman ApplicationsAmual Thien 1 6010 5560 6100 5330 4980 5870 5120 4750 4615 100 3600 3600 4000 4400 4500 5700 6000 6000 7500 8000 10