Question

In: Operations Management

Consider the following quarterly time series. The regression model developed for this data set that has...

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

Solutions

Expert Solution

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


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