4. Quarterly demand for smartphones at a retailer is as shown. After obtaining initial estimates for level, trend, and seasonal factors, forecast quarterly demand for year 5 using Winter's model with alpha=0.05, beta = 0.10, and gamma = 0.15. Evaluate the MAD, MAPE, and MSE for the forecast. Can you find values of a, ß, and, y that result in a lower MAD or MSE? Year 1 2 3 st 4 Quarter I || ||| IV 1 || ||| IV 1 || ||| IV I || IV Demand 513 932 1,509 1,902 693 1,163 1,857 2,469 846 1,439 2,271 3,079 1,070 1,751 2,785 3,613
4. Quarterly demand for smartphones at a retailer is as shown. After obtaining initial estimates for level, trend, and seasonal factors, forecast quarterly demand for year 5 using Winter's model with alpha=0.05, beta = 0.10, and gamma = 0.15. Evaluate the MAD, MAPE, and MSE for the forecast. Can you find values of a, ß, and, y that result in a lower MAD or MSE? Year 1 2 3 st 4 Quarter I || ||| IV 1 || ||| IV 1 || ||| IV I || IV Demand 513 932 1,509 1,902 693 1,163 1,857 2,469 846 1,439 2,271 3,079 1,070 1,751 2,785 3,613
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:**Quarterly Demand Forecasting for Smartphones**
**Objective:**
Analyze the quarterly smartphone demand data at a retailer and forecast the demand for year 5 using Winter's model. The model involves smoothing parameters, alpha (α) = 0.05, beta (β) = 0.10, and gamma (γ) = 0.15. Evaluate the accuracy of the forecast by calculating the Mean Absolute Deviation (MAD), Mean Absolute Percentage Error (MAPE), and Mean Squared Error (MSE). Explore alternative values for α, β, and γ to achieve a lower MAD or MSE.
**Data Table:**
| **Year** | **Quarter** | **Demand** |
|----------|-------------|------------|
| 1 | I | 513 |
| | II | 932 |
| | III | 1,509 |
| | IV | 1,902 |
| 2 | I | 693 |
| | II | 1,163 |
| | III | 1,857 |
| | IV | 2,469 |
| 3 | I | 846 |
| | II | 1,439 |
| | III | 2,271 |
| | IV | 3,079 |
| 4 | I | 1,070 |
| | II | 1,751 |
| | III | 2,785 |
| | IV | 3,613 |
**Instructions:**
1. **Evaluate the Model:**
- Use the given initial values for α, β, and γ to implement Winter’s model.
- Calculate the MAD, MAPE, and MSE to assess forecast accuracy.
2. **Optimize Parameters:**
- Experiment with different values of α, β, and γ.
- Identify combinations that result in lower MAD or MSE for improved forecast accuracy.
**Diagrams:**
- The table provides raw demand data that should be visualized using time series plots to better understand seasonal variations and trends.
- Compare forecasted demand against actual demand visually to identify discrepancies.
**Conclusion:**
This analysis provides insights into both historical demand patterns and forecasts, which are crucial for inventory management and strategic planning in the retail sector.
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