In: Operations Management
Consider the following quarterly time series. The regression model developed for this data set that has seasonality and trend is as follows, yˆt = 864.08 + 87.8Qtr1t + 137.98Qtr2t + 106.16Qtr3t + 28.16t Compute the quarterly forecasts for next year based on the regression model? Quarter Year 1 Year 2 Year 3 1 923 1112 1243 2 1056 1156 1301 3 1124 1124 1254 4 992 1078 1198
Year | Qtr | Qtr1t | Qtr2t | Qtr3t | t | Yt | yˆt |
1 | 1 | 1 | 0 | 0 | 1 | 923 | 980.04 |
2 | 0 | 1 | 0 | 2 | 1056 | 1058.38 | |
3 | 0 | 0 | 1 | 3 | 1124 | 1054.72 | |
4 | 0 | 0 | 0 | 4 | 992 | 976.72 | |
2 | 1 | 1 | 0 | 0 | 5 | 1112 | 1092.68 |
2 | 0 | 1 | 0 | 6 | 1156 | 1171.02 | |
3 | 0 | 0 | 1 | 7 | 1124 | 1167.36 | |
4 | 0 | 0 | 0 | 8 | 1078 | 1089.36 | |
3 | 1 | 1 | 0 | 0 | 9 | 1243 | 1205.32 |
2 | 0 | 1 | 0 | 10 | 1301 | 1283.66 | |
3 | 0 | 0 | 1 | 11 | 1254 | 1280.00 | |
4 | 0 | 0 | 0 | 12 | 1198 | 1202.00 | |
4 | 1 | 1 | 0 | 0 | 13 | 1317.96 | |
2 | 0 | 1 | 0 | 14 | 1396.30 | ||
3 | 0 | 0 | 1 | 15 | 1392.64 | ||
4 | 0 | 0 | 0 | 16 | 1314.64 |
The highlighted part is the next year's forecast