Problem 1: An electrical contractor's records during the last five weeks indicate the number of job requests: Week: Requests: 20 22 18 21 22 Predict the number of requests for week 6 using each of these methods: (a) Naive (b) A three-period moving average (c) W weighted average using 0.50 for week 5, 0.30 for week 4, and 0.20 for week 3. Problem 2: A cosmetics manufacturer's marketing department has developed a linear trend equation that can be used to predict annual sales of its popular Hand & Foot Cream.F = 100+ 20t where F, = Annual sales (000 bottles) . t is in years (a). Are annual sales increasing or decreasing? By how much? (b). Predict annual sales for year 8 using the equation. Problem 3: Two independent methods of forecasting based on judgment and experience have been prepared each month for the past 10 months. The forecasts and actual sales are as follows:Month Sales Forecast 1 Forecast 2 770 771 769 789 785 787 794 790 792 780 784 798 768 770 774 772 768 770 760 761 759 775 771 775 786 784 788 790 788 788 (a). Compute the MSE andMAD for each forecast. Does either forecast seem superior? Explain. (b). Compute MAPE for each forecast