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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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