Your manager is trying to determine what forecasting method to use. Based upon the following historical data, calculate the following forecast and specify what procedure you would utilize ACTUAL MONTH DEMAND 59 65 67 71 5 10 75 12 81 a. Calculate the simple three-month moving average forecast for periods 4-12. (Round your answers to 3 decimal places.) Moving Average 65.667 67.667 69.333 72.667 74.667 10 76.333 78.333 12 b. Calculate the weighted three-month moving average for periods 4-12 using weights of 0.50 (for the period t-1); 0.30 (for the period f-2), and 0.20 (for the period t-3). (Do not round intermediate calculations. Round your answers to 1 decimal place.) Three-Month Weighted Average 63.8 6 68.6 69.7 73.7 75.6 77.0 76 79.4 10 12
Expert Answer
Year | Demand | 3 Year Moving Average Forecast | Weights for Moving Average | 3 years Weighted moving average | Exponential Smoothing | At | Tt | FIT |
1 | 59.00 | 0 | 63.000 | |||||
2 | 65 | 0 | 62.200 | 62.000 | 1.600 | 63.600 | ||
3 | 65 | 0 | 62.760 | 63.000 | 1.420 | 64.420 | ||
4 | 67 | 63.000 | 63.80 | 63.208 | 64.820 | 1.540 | 66.360 | |
5 | 71 | 65.667 | 66.00 | 63.966 | 66.396 | 1.551 | 67.947 | |
6 | 70 | 67.667 | 68.60 | 65.373 | 68.068 | 1.587 | 69.655 | |
7 | 77 | 69.333 | 69.70 | 66.298 | 70.241 | 1.763 | 72.004 | |
8 | 77 | 72.667 | 73.70 | 68.439 | 71.956 | 1.749 | 73.704 | |
9 | 77 | 74.667 | 0.1 | 75.60 | 70.151 | 74.713 | 2.051 | 76.764 |
10 | 75 | 77.000 | 0.3 | 77.00 | 71.521 | 77.222 | 2.188 | 79.410 |
11 | 83 | 76.333 | 0.6 | 76.00 | 72.217 | 79.366 | 2.175 | 81.541 |
12 | 81 | 78.333 | ` | 74.373 | 80.668 | 1.913 | 82.581 |
MAD for Single exponential Smoothing forecast and exponential smoothinh with trend
Year | Demand | Exponential Smoothing with a = 0.20 | Error | Absolute Deviation |
1 | 59 | 63 | 4 | 4 |
2 | 65 | 62.2 | -2.8 | 2.8 |
3 | 65 | 62.76 | -2.24 | 2.24 |
4 | 67 | 63.208 | -3.792 | 3.792 |
5 | 71 | 63.9664 | -7.0336 | 7.0336 |
6 | 70 | 65.37312 | -4.62688 | 4.62688 |
7 | 77 | 66.298496 | -10.701504 | 10.701504 |
8 | 77 | 68.4387968 | -8.5612032 | 8.5612032 |
9 | 77 | 70.15103744 | -6.84896256 | 6.84896256 |
10 | 75 | 71.52082995 | -3.479170048 | 3.479170048 |
11 | 83 | 72.21666396 | -10.78333604 | 10.78333604 |
12 | 81 | 74.37333117 | -6.626668831 | 6.626668831 |
Sum | 71.493 | |||
MAD | 5.958 | |||
Year | Demand | Exponential Smoothing with trend | Error | Absolute Deviation |
1 | 59 | 63.600 | 4.600 | 4.600 |
2 | 65 | 64.420 | -0.580 | 0.580 |
3 | 65 | 66.360 | 1.360 | 1.360 |
4 | 67 | 67.947 | 0.947 | 0.947 |
5 | 71 | 69.655 | -1.345 | 1.345 |
6 | 70 | 72.004 | 2.004 | 2.004 |
7 | 77 | 73.704 | -3.296 | 3.296 |
8 | 77 | 76.764 | -0.236 | 0.236 |
9 | 77 | 79.410 | 2.410 | 2.410 |
10 | 75 | 81.541 | 6.541 | 6.541 |
11 | 83 | 82.581 | -0.419 | 0.419 |
12 | 81 | 85.100 | 4.100 | 4.100 |
Sum | 27.838 | |||
MAD | 2.320 |