Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The following table shows the actual demand observed over the last 11 years:
[tex]\[
\begin{tabular}{lccccccccccc}
\hline
Year & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 \\
\hline
Demand & 6 & 10 & 6 & 9 & 13 & 7 & 12 & 13 & 8 & 11 & 7 \\
\hline
\end{tabular}
\][/tex]

Using exponential smoothing with [tex]$\alpha=0.30$[/tex] and a forecast for year 1 of 5.0, provide the forecast for periods 2 through 12 (round your responses to one decimal place):
[tex]\[
\begin{tabular}{lcccccccccccc}
\hline
Year & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\
\hline
Forecast & 5.0 & 5.3 & 6.7 & 6.8 & 7.3 & 9.0 & 8.1 & 9.5 & 10.6 & 9.8 & 10.5 & 9.2 \\
\hline
\end{tabular}
\][/tex]

Provide the forecast for periods 2 through 12 using the naive approach (enter your responses as whole numbers):
[tex]\[
\begin{tabular}{lccccccccccc}
\hline
Year & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\
\hline
Forecast & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ \\
\hline
\end{tabular}
\][/tex]

Sagot :

GinnyAnswer
To find the forecast for periods 2 through 12 using the naive approach, we use the actual demand of the previous period as the forecast for the next period. Here’s a step-by-step approach:

1. Year 2 Forecast: The forecast for year 2 is the actual demand of year 1.
2. Year 3 Forecast: The forecast for year 3 is the actual demand of year 2.
3. Year 4 Forecast: The forecast for year 4 is the actual demand of year 3.
4. Year 5 Forecast: The forecast for year 5 is the actual demand of year 4.
5. Year 6 Forecast: The forecast for year 6 is the actual demand of year 5.
6. Year 7 Forecast: The forecast for year 7 is the actual demand of year 6.
7. Year 8 Forecast: The forecast for year 8 is the actual demand of year 7.
8. Year 9 Forecast: The forecast for year 9 is the actual demand of year 8.
9. Year 10 Forecast: The forecast for year 10 is the actual demand of year 9.
10. Year 11 Forecast: The forecast for year 11 is the actual demand of year 10.
11. Year 12 Forecast: The forecast for year 12 is the actual demand of year 11.

Given the actual demand data:
[tex]\[ \begin{array}{|c|ccccccccccc|} \hline \text{Year} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 \\ \hline \text{Demand} & 6 & 10 & 6 & 9 & 13 & 7 & 12 & 13 & 8 & 11 & 7 \\ \hline \end{array} \][/tex]

Using the naive approach, the forecast values are calculated as follows:
[tex]\[ \begin{array}{|c|ccccccccccc|} \hline \text{Year} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline \text{Forecast} & 10 & 6 & 9 & 13 & 7 & 12 & 13 & 8 & 11 & 7 \\ \hline \end{array} \][/tex]

Therefore, the forecast from periods 2 through 12 is:
[tex]\[ \begin{array}{|c|ccccccccccc|} \hline \text{Year} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline \text{Forecast} & 10 & 6 & 9 & 13 & 7 & 12 & 13 & 8 & 11 & 7 \\ \hline \end{array} \][/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.