Question
Q5: The following table shows the actual values and forecast values calculated using a linear trend with seasonality model for a time series of quarterly
Q5: The following table shows the actual values and forecast values calculated using a linear trend with seasonality model for a time series of quarterly price index:
| Actual value | Forecast value |
2018, Q2 | 74.0 | 73.32 |
2018, Q3 | 76.7 | 74.39 |
2018, Q4 | 78.3 | 79.77 |
The Mean Absolute Deviation (MAD) for the forecast method is Answer (please round your answer to 2 decimal places).
Q6: The following forecast errors (difference between actual and forecast values) was calculated using a linear trend with seasonality model for a time series of quarterly toy sales:
| Forecast Errors |
2018, Q1 | -1.25 |
2018, Q2 | 0.68 |
2018, Q3 | 2.31 |
2018, Q4 | -1.47 |
2019, Q1 | -0.96 |
The Mean Square Forecast Error (MSFE) for the forecast method is Answer (please give your answer to 2 decimal places).
Q7: The following is the list of MAD and MSFE statistics for each of the four models you have estimated from time-series data:
Model | MAD | MSFE |
Linear Trend | 1.38 | 22.9 |
Quadratic Trend | 1.22 | 29.8 |
Linear Trend with Seasonality | 1.39 | 25.5 |
Quadratic Trend with Seasonality | 1.71 | 28.1 |
If it is important to avoid large errors, the most appropriate model is
linear trend with seasonality.
quadratic trend.
linear trend.
quadratic trend with seasonality.
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