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The business analyst for Video Sales, Inc. wants to forecast yearly demand for DVD decoders based on the following historicalWhat is the forecast for last year using simple exponential smoothing with smoothing constant alpha = 0.4, if the forecast fo

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Answer #1
Year Demand 3 SMA exponential smoothing with alpha = 0.4
5 years ago 900 - -
4 years ago 700 - -
3 years ago 600 - -
2 years ago 500 733.3333 750
Last year 300 600 650
this year 466.6667 510

3 year simple moving average:

Forecast for this year = (Demand 3 years ago + Demand 2 years ago + Demand last year)/3 = (600+500+300)/3 = 466.6667 rounded to 467.

Simple exponential smoothing:

Ft+1 = aDt + (1 - a) Ft

Ft+1 = Forecast this year

Dt = Demand last year

Ft = Forecast last year

Given, forecast for two years ago = 750

Forecast for last year = 0.4*500+0.6*750 = 650

Forecast for this year = 0.4*300+0.6*650 = 510

Answers:

Q12: Simple moving average = 467

Simple Exponential Smoothing = 510

Q14: Same as the simple exponential smoothing = 510

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