b)
Forecast for the next month (Jan) using naive method = 24 sales
Naive forecasting is estimating technique in which the last period's actuals are used as this period's forecast, without adjusting them or attempting to establish causal factors.
Forecast for the next month (Jan) using 3- month moving average approach = (21+23+24)/ 3 = 22.67 sales.
Forecast for the next month (Jan) using 6- month weighted average approach = (0.1*17+0.1*18+0.1*22+0.2*21+0.2*23+0.3*24) = 21.7 sales
Using exponential smoothing with alpha = 0.2 and Sep forecast is 21.00
Forecast (t+1) = alpha * Actual (t) + (1-alpha)*Forecast(t)
Forecast for Oct = 0.20*22+(1-0.20)*21 = 21.2
Forecast for Nov= 0.20*21+(1-0.20)*21.2 = 21.16
Forecast for Dec= 0.20*23+(1-0.20)*21.16 = 21.53
Forecast for Jan= 0.20*24+(1-0.20)*21.53 = 22.02 sales
For method of trend projection, we will show approach using excel for trend line to calculate Jan forecast. We will least square method here.
As per trend projection, the equation is
y = 0.4965x + 15.606
Forecast for next month (Jan) = 0.4965*13 + 15.606 = 22.06 sales
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