[10 points] Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table. The registrations are in thousands. a) Develop a 4-year moving average to forecast registrations from year 4 to year 12. b) Estimate demand again for years 5 to 12 with a 4-year weighted moving average in which registrations in the most recent year are given a weight of 0.55, and registrations in the other years are each given a weight of 0.15 each. c) Use exponential smoothing with a smoothing constant of 0.3 to forecast the registrations at the seminar. To begin the procedure, assume that the forecast for year I was 5,000 people signing up Month Registration (in '000) 4-MA 4-WMA ES(a=0.3) 1 5 4 I 6 2. 3 4 4 4 4 5 5 10 6 8 7 7 8 9 9 12 10 14 11 15 12 Forecast