Question
Date Sales Mar-05 6.44 Jun-05 4.85 Sep-05 4.67 Dec-05 5.77 Mar-06 6.22 Jun-06 4.25 Sep-06 4.14 Dec-06 5.34 Mar-07 6.07 Jun-07 4.36 Sep-07 4.07 Dec-07
Date | Sales |
Mar-05 | 6.44 |
Jun-05 | 4.85 |
Sep-05 | 4.67 |
Dec-05 | 5.77 |
Mar-06 | 6.22 |
Jun-06 | 4.25 |
Sep-06 | 4.14 |
Dec-06 | 5.34 |
Mar-07 | 6.07 |
Jun-07 | 4.36 |
Sep-07 | 4.07 |
Dec-07 | 5.84 |
Mar-08 | 6.06 |
Jun-08 | 4.24 |
Sep-08 | 4.2 |
Dec-08 | 5.43 |
Mar-09 | 6.56 |
Jun-09 | 4.25 |
Sep-09 | 3.92 |
Dec-09 | 5.26 |
Mar-10 | 6.65 |
Jun-10 | 4.42 |
Sep-10 | 4.09 |
Dec-10 | 5.51 |
Mar-11 | 6.61 |
Jun-11 | 4.25 |
Sep-11 | 3.98 |
Dec-11 | 5.55 |
Mar-12 | 6.24 |
Jun-12 | 4.34 |
Sep-12 | 4 |
Dec-12 | 5.36 |
Mar-13 | 6.4 |
Jun-13 | 3.84 |
Sep-13 | 3.53 |
Dec-13 | 4.74 |
Mar-14 | 5.37 |
Jun-14 | 3.57 |
Sep-14 | 3.32 |
Dec-14 | 5.09 |
Mar-15 | 6.03 |
Jun-15 | 3.98 |
Sep-15 | 3.57 |
Dec-15 | 4.92 |
Mar-16 | 6.16 |
Jun-16 | 3.79 |
Sep-16 | 3.39 |
Dec-16 | 4.51 |
Date | Actual Sales | Forecast Sales | Error | Absolute Error | Absolute % Error |
Mar-17 | 5.39 | ||||
Jun-17 | 3.56 | ||||
Sep-17 | 3.03 | ||||
Dec-17 | 4.03 | ||||
MAPE = |
Susane is the marketing head for a propane gas distributor. She would like to have a forecast of sales on a quarterly basis, and he has asked you to work out a time-series decomposition model. The data for 2005 through 2016 is given in the table above.
- For Cycle factor in forecast period - use the factor of Mar 2013-Dec 2013. As the current cycle closely represents that cycle (you can visualize this by plotting Cycle factor againt a unit 1 line)
1. What is the forecast for 1st quarter of 2017? (round to 2 decimal)
2. What is the forecast for 2nd quarter of 2017? (round to 2 decimal)
3. What is the forecast for 3rd quarter of 2017? (round to 2 decimal)
4. What is the forecast for 4th quarter of 2017? (round to 2 decimal)
5. What is the out-of sample MAPE for the 4 periods in 2017? (Do not use % sign, and round to 2 decimal)
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