Week Demand of beef 1 500 2 550 3 600 4 720 5 780 6 800 Corresponding weights are W1=0.6, W2=0.4 and W3=0.3 The 3-week weighted moving average to forecast- Week Demand of beef 3- weeks weighted moving average forecast 1 500 2 550 3 600 4 720 (500×0.6+550×0.4+600×0.3) / (0.6+0.4+0.3) = 538.46 5 780 (550×0.6+600×0.4+720×0.3) / (0.6+0.4+0.3) = 604.61 (600×0.6+720×0.4+780×0.3) / (0.6+0.4+0.3) = 678.46 Forecast for week 4,5 and 6 = 538.46, 604.61 and 678.46 4-week weighted moving average to forecast- Corresponding weights are W1=0.6, W2=0.4, W3=0.3, and W4=0.2 Week Demand of beef 4-weeks weighted moving average forecast 1 500 2 550 3 600 4 720 5 780 (500×0.6+550×0.4+600×0.3+720×0.2) / (0.6+0.4+0.3+0.2) = 562.66 (550×0.6+600×0.4+720×0.3+780×0.2) / (0.6+0.4+0.3+0.2) = 628 Forecast for week 6 and 7 = 562.66, 628 Show how Mr. Ferdinand can test the accuracy of his forecast

Week Demand of beef 1 500 2 550 3 600 4 720 5 780 6 800 Corresponding weights are W1=0.6, W2=0.4 and W3=0.3 The 3-week weighted moving average to forecast- Week Demand of beef 3- weeks weighted moving average forecast 1 500 2 550 3 600 4 720 (500×0.6+550×0.4+600×0.3) / (0.6+0.4+0.3) = 538.46 5 780 (550×0.6+600×0.4+720×0.3) / (0.6+0.4+0.3) = 604.61 (600×0.6+720×0.4+780×0.3) / (0.6+0.4+0.3) = 678.46 Forecast for week 4,5 and 6 = 538.46, 604.61 and 678.46 4-week weighted moving average to forecast- Corresponding weights are W1=0.6, W2=0.4, W3=0.3, and W4=0.2 Week Demand of beef 4-weeks weighted moving average forecast 1 500 2 550 3 600 4 720 5 780 (500×0.6+550×0.4+600×0.3+720×0.2) / (0.6+0.4+0.3+0.2) = 562.66 (550×0.6+600×0.4+720×0.3+780×0.2) / (0.6+0.4+0.3+0.2) = 628 Forecast for week 6 and 7 = 562.66, 628 Show how Mr. Ferdinand can test the accuracy of his forecast

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter13: Regression And Forecasting Models

Section13.6: Moving Averages Models

Problem 21P: The file P13_21.xlsx contains the weekly sales of rakes at a hardware store for a two-year period....

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Week	Demand of beef	3- weeks weighted moving average forecast
1	500
2	550
3	600
4	720	(500×0.6+550×0.4+600×0.3) / (0.6+0.4+0.3) = 538.46
5	780	(550×0.6+600×0.4+720×0.3) / (0.6+0.4+0.3) = 604.61
		(600×0.6+720×0.4+780×0.3) / (0.6+0.4+0.3) = 678.46

Week	Demand of beef	4-weeks weighted moving average forecast
1	500
2	550
3	600
4	720
5	780	(500×0.6+550×0.4+600×0.3+720×0.2) / (0.6+0.4+0.3+0.2) = 562.66
		(550×0.6+600×0.4+720×0.3+780×0.2) / (0.6+0.4+0.3+0.2) = 628