Actual sales of a company (in millions of dollars) for January through April are shown below.
MonthSales
January18
February25
March30
April40
May ?
a.Use ? = .3 to compute the exponential smoothing values for sales. Compute MSE and forecast sales for May. Assume the forecast for the initial period (January) is 18. Show all of your computations from February through May.b.Use ? = .1 to compute the exponential smoothing values for sales. Compute MSE and forecast sales for May. Assume the forecast for the initial period (January) is 18. Show all of your computations from February through May.c.Based on MSE, which ? provides a better forecast? Explain why?
What will be an ideal response?
a. When ? = .30: | ||||
Month | Sales | Forecasted Values | Error2 | ? |
January | 18 | |||
February | 25 | 18.00 | 49.00 | ? |
March | 30 | 20.10 | 98.01 | ? |
April | 40 | 23.07 | 286.62 | ? |
May | ? | 28.15 MSE = | 144.54 | ? |
b. When ? = .10: | ||||
Month | Sales | Forecasted Values | Error2 | ? |
January | 18 | ? | ||
February | 25 | 18.00 | 49.00 | ? |
March | 30 | 18.70 | 127.69 | ? |
April | 40 | 19.83 | 406.83 | ? |
May | ? | 21.85 MSE = | 194.51 | ? |
c. | ? = .30 yields a smaller MSE, therefore, it is a better ? to use. |
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