In: Statistics and Probability
The human resources department needs to forecast the number of sexual harassement investigations for the entire company. The data for several months is supplied below. Be careful since the data is listed beginning with the most recent. The forecasting method to be used here is the 4 month weighted moving average adjusting for seasonality where the weights, starting with the most recent time period, are 0.4, 0.3, 0.2, 0.1. Again, you must find the seasonality factors for the data. Please round your forecast to the nearest whole number.
Apr 2020: 11 | Mar 2020: 10 | Feb 2020: 18 | Jan 2020: 13 | Dec 2019: 11 | Nov 2019: 17 |
Oct 2019: 14 | Sep 2019: 15 | Aug 2019: 17 | Jul 2019: 16 | Jun 2019: 15 | May 2019: 16 |
Apr 2019: 15 | Mar 2019: 16 | Feb 2019: 14 | Jan 2019: 11 | Dec 2018: 18 | Nov 2018: 14 |
Oct 2018: 12 | Sep 2018: 15 | Aug 2018: 13 | Jul 2018: 17 | Jun 2018: 11 | May 2018: 17 |
Apr 2018: 18 | Mar 2018: 13 |
Forecast = 14
Data | Forecasts and Error Analysis | |||||||
Period | Demand | Weights | Forecast | Error | Absolute | Squared | Abs Pct Err | |
Period 1 | 13 | 0.4 | 4 periods ago | |||||
Period 2 | 18 | 0.3 | 3 periods ago | |||||
Period 3 | 17 | 0.2 | 2 periods ago | |||||
Period 4 | 11 | 0.1 | 1 periods ago | |||||
Period 5 | 17 | 15.1 | 1.9 | 1.9 | 3.61 | 11.18% | ||
Period 6 | 13 | 16.2 | -3.2 | 3.2 | 10.24 | 24.62% | ||
Period 7 | 15 | 14.8 | 0.2 | 0.2 | 0.04 | 01.33% | ||
Period 8 | 12 | 13.6 | -1.6 | 1.6 | 2.56 | 13.33% | ||
Period 9 | 14 | 14.9 | -0.9 | 0.9 | 0.81 | 06.43% | ||
Period 10 | 11 | 13.5 | -2.5 | 2.5 | 6.25 | 22.73% | ||
Period 11 | 14 | 13.5 | 0.5 | 0.5 | 0.25 | 03.57% | ||
Period 12 | 16 | 12.6 | 3.4 | 3.4 | 11.56 | 21.25% | ||
Period 13 | 15 | 13.3 | 1.7 | 1.7 | 2.89 | 11.33% | ||
Period 14 | 16 | 13.3 | 2.7 | 2.7 | 7.29 | 16.88% | ||
Period 15 | 15 | 15 | 0 | 0 | 0 | 00.00% | ||
Period 16 | 16 | 15.6 | 0.4 | 0.4 | 0.16 | 02.50% | ||
Period 17 | 17 | 15.4 | 1.6 | 1.6 | 2.56 | 09.41% | ||
Period 18 | 15 | 15.8 | -0.8 | 0.8 | 0.64 | 05.33% | ||
Period 19 | 14 | 15.7 | -1.7 | 1.7 | 2.89 | 12.14% | ||
Period 20 | 17 | 15.9 | 1.1 | 1.1 | 1.21 | 06.47% | ||
Period 21 | 11 | 15.8 | -4.8 | 4.8 | 23.04 | 43.64% | ||
Period 22 | 13 | 14.7 | -1.7 | 1.7 | 2.89 | 13.08% | ||
Period 23 | 18 | 14.2 | 3.8 | 3.8 | 14.44 | 21.11% | ||
Period 24 | 10 | 14.5 | -4.5 | 4.5 | 20.25 | 45.00% | ||
Period 25 | 11 | 12.9 | -1.9 | 1.9 | 3.61 | 17.27% | ||
Total | -6.3 | 40.9 | 117.19 | 308.60% | ||||
Average | -0.3 | 1.947619 | 5.580476 | 14.70% | ||||
Bias | MAD | MSE | MAPE | |||||
SE | 2.483525 | |||||||
Next period | 14 |