Problem 2 (20 points). Quarterly data for the failures of certain product at a local company during the las two years are shown in below table. (Fill all the blanks). Quarter Failures MAF (3) Error MAF (6) Error 1 300 2 260 3 180 4 185 IL 5 230 6 290 7 300 8 180 a. (5 points). Determine the forecasts for periods 4 through 8 using three-period moving averages, and the forecasts for periods 7 and 8 using six-month period moving averages. b. (5 points). Calculate the forecast errors for three-period moving averages and forecast errors for six-period moving averages. c. (5 points). Calculate the MAD for three-period moving averages and six-period moving averages. d. (5 points). If a smoothing constant of 0.3 was analyzed for the data, and you were informed that forecast for period 1 was 250; based on these assumptions, calculate the forecast for period 2.