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: Year Freshman Applications Annual Tuition ($) 1 6010 3600 2 5560 3600 3 6100 4000 4 5330 4400 5 4980 4500 6 5870 5700 7 5120 6000 8 4750 6000 9 4615 7500 10 4100 8000 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 freshman applications. Please show work and explanation to solve this problem.