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174<br />

Part Two<br />

Design<br />

Table S6.3 Exponentially smoothed forecast calculated with smoothing constant 1 = 0.2<br />

Week Actual demand Forecast<br />

(thousands) (F t = 2A t−1 + (1 − 2)F t−1 )<br />

(t) (A) (2 = 0.2)<br />

20 63.3 60.00<br />

21 62.5 60.66<br />

22 67.8 60.03<br />

23 66.0 61.58<br />

24 67.2 62.83<br />

25 69.9 63.70<br />

26 65.6 64.94<br />

27 71.1 65.07<br />

28 68.8 66.28<br />

29 68.4 66.78<br />

30 70.3 67.12<br />

31 72.5 67.75<br />

32 66.7 68.70<br />

33 68.3 68.30<br />

34 67.0 68.30<br />

35 68.04<br />

The value of α governs the balance between the responsiveness of the forecasts to changes<br />

in demand, and the stability of the forecasts. The closer α is to 0 the more forecasts will<br />

be dampened by previous forecasts (not very sensitive but stable). Figure S6.4 shows the<br />

Eurospeed volume data plotted for a four-week moving average, exponential smoothing<br />

with α = 0.2 and exponential smoothing with α = 0.3.<br />

Causal models<br />

Causal models often employ complex techniques to understand the strength of relationships<br />

between the network of variables and the impact they have on each other. Simple regression<br />

models try to determine the ‘best fit’ expression between two variables. For example, suppose<br />

an ice-cream company is trying to forecast its future sales. After examining previous demand,<br />

Figure S6.4 A comparison of a moving-average forecast and exponential smoothing with the<br />

smoothing constant a = 0.2 and 0.3

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