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As part of the development of a decomposition model, the calculation of forecast is needed. The data below was used to develop a decomposition model.
As part of the development of a decomposition model, the calculation of forecast is needed. The data below was used to develop a decomposition model. The seasonal indices and the linear trend projection (for deseasonalized data) are provided below as well. Use the provided information to forecast the next year's values.
Time | Year | Quarter | Data |
---|---|---|---|
1 | 2019 | 1 | 21.7 |
2 | 2019 | 2 | 29.8 |
3 | 2019 | 3 | 26.8 |
4 | 2019 | 4 | 30.4 |
5 | 2020 | 1 | 41.2 |
6 | 2020 | 2 | 44.8 |
7 | 2020 | 3 | 57.9 |
8 | 2020 | 4 | 45.1 |
9 | 2021 | 1 | 64.8 |
10 | 2021 | 2 | 66.2 |
11 | 2021 | 3 | 68.2 |
12 | 2021 | 4 | 63.5 |
- The decomposition model developed contains seasonal indices and a linear trend projection (provided below). Use the model to calculate forecasts for the next year. Round all values to one decimal place. Seasonal Indices: I1=I1=1.0723, I2=I2=1.0264, I3=I3=1.0403, I4=I4=0.861 Trend Projection: y=15.93+4.79X
- 2022 Quarter 1=?
- 2022 Quarter 2=?
- 2022 Quarter 3=?
- 2022 Quarter 4=?
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