For the data $(0,100),(1,200),(2,220),(3,220),(4,266),(5,318)$, where the first number in parenthesis is period and the second number is the actual demand, the exponentially smoothed forecast for period 6 $\left(\mathrm{F}_{6}\right)$, with initial forecast $\left(\mathrm{F}_{0}\right)=100$ and $\alpha=0.7$, is equal to
A) 206
B) 237.4
C) 318
D) 297.9
E) insufficient data

Question

Quizplus · Accepted Answer

The exponentially smoothed forecast for period 6 ($\mathrm{F}_{6}$) can be calculated using the formula $\mathrm{F}_{t} = \alpha \cdot \mathrm{D}_{t-1} + (1 - \alpha) \cdot \mathrm{F}_{t-1}$, where $\mathrm{F}_{t}$ is the forecast for period $t$, $\mathrm{D}_{t-1}$ is the actual demand for period $t-1$, and $\alpha$ is the smoothing constant. Starting with $\mathrm{F}_{0} = 100$ and $\alpha = 0.7$, we iteratively calculate forecasts for each period up to period 6. The forecast for period 6 ($\mathrm{F}_{6}$) is found to be 297.9 after applying the formula for each period.

For the Data (0,100),(1,200),(2,220),(3,220),(4,266),(5,318)(0,100),(1,200),(2,220),(3,220),(4,266),(5,318)(0,100),(1,200),(2,220),(3,220),(4,266),(5,318) , Where the First Number in Parenthesis Is Period and Parenthesis

For the Data $(0,100),(1,200),(2,220),(3,220),(4,266),(5,318)$ , Where the First Number in Parenthesis Is Period and Parenthesis