1. The chairperson of the department of management at State University wants to forecast the number of students who will enroll in production and operations management next semester in order to determine how many sections to schedule. The chair has accumulated the following enrollment data for the past eight semesters. Semester | Students Enrolled in POM 400 150 350 420 500 575 490 650 a. Compute a 3-semester moving average forecast for semesters 4 through 9. b. Compute the exponentially smoothed forecast (a = 0.20) for the enrollment data. 2. Administrators at State University believe that decreases in the number of freshmen applications that they have experienced are directly related to tuition increases. They have collected the following enrollment and tuition data for the last decade Annual Year Freshmen Applications Tuition ($) 6.050 3,600 4.060 3.600 5.200 4,000 4 410 4,400 4.380 4,500 4 160 5.700 3.560 6.000 2.970 6.000 3.280 7.500 3.430 8,000 a. Develop a linear regression model for these data and forecast the number of applications for State University if tuition increases to $9,000 per year and if tuition is lowered to $7,000 per year