Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.153124352600844 |
beta | 0.64835715407674 |
gamma | 0.543887574114765 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 4163 | 3809.25532525683 | 353.744674743175 |
14 | 4962 | 4623.30104637635 | 338.698953623653 |
15 | 5208 | 4987.44965139763 | 220.550348602374 |
16 | 4755 | 4699.41752520211 | 55.5824747978932 |
17 | 4491 | 4605.22202565029 | -114.222025650291 |
18 | 5732 | 6044.20055930014 | -312.200559300143 |
19 | 5731 | 5007.38980934768 | 723.610190652324 |
20 | 5040 | 5595.93871963285 | -555.938719632854 |
21 | 6102 | 6525.74862527719 | -423.748625277191 |
22 | 4904 | 6150.55087063321 | -1246.55087063321 |
23 | 5369 | 6907.54106634089 | -1538.54106634089 |
24 | 5578 | 6217.85663114186 | -639.856631141858 |
25 | 4619 | 4460.93557534072 | 158.064424659277 |
26 | 4731 | 5028.49176635032 | -297.491766350323 |
27 | 5011 | 4889.65987490575 | 121.340125094252 |
28 | 5299 | 4207.645304464 | 1091.35469553600 |
29 | 4146 | 4010.59027844513 | 135.409721554869 |
30 | 4625 | 5031.09249709813 | -406.092497098133 |
31 | 4736 | 4331.47143083952 | 404.528569160483 |
32 | 4219 | 4099.06455095694 | 119.935449043064 |
33 | 5116 | 4789.86665914226 | 326.133340857742 |
34 | 4205 | 4203.14513747064 | 1.85486252936244 |
35 | 4121 | 4814.87712682466 | -693.877126824658 |
36 | 5103 | 4708.97500899456 | 394.024991005437 |
37 | 4300 | 3815.68257017946 | 484.317429820537 |
38 | 4578 | 4333.83748008552 | 244.162519914482 |
39 | 3809 | 4694.03209120716 | -885.03209120716 |
40 | 5526 | 4443.30592014669 | 1082.69407985331 |
41 | 4247 | 3962.3920460763 | 284.607953923701 |
42 | 3830 | 4894.83659840055 | -1064.83659840055 |
43 | 4394 | 4554.95919865592 | -160.959198655923 |
44 | 4826 | 4136.4518895516 | 689.5481104484 |
45 | 4409 | 5122.0030255261 | -713.003025526104 |
46 | 4569 | 4220.23158550852 | 348.768414491485 |
47 | 4106 | 4595.92563024681 | -489.925630246812 |
48 | 4794 | 5093.42662327743 | -299.426623277429 |
49 | 3914 | 4102.13492992989 | -188.134929929887 |
50 | 3793 | 4314.85636478824 | -521.856364788238 |
51 | 4405 | 3883.69342205548 | 521.306577944524 |
52 | 4022 | 4671.04335751626 | -649.04335751626 |
53 | 4100 | 3500.46975717676 | 599.530242823237 |
54 | 4788 | 3678.1784112647 | 1109.82158873530 |
55 | 3163 | 4129.96135401951 | -966.961354019506 |
56 | 3585 | 3955.69970968602 | -370.699709686025 |
57 | 3903 | 3970.3231208981 | -67.323120898102 |
58 | 4178 | 3633.40940200503 | 544.590597994973 |
59 | 3863 | 3616.41364518351 | 246.586354816492 |
60 | 4187 | 4237.98411175221 | -50.9841117522137 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 3495.09324525687 | 2770.91623440958 | 4219.27025610418 |
62 | 3622.76617238188 | 2835.3145729812 | 4410.21777178255 |
63 | 3843.02080535391 | 2929.60353023945 | 4756.43808046838 |
64 | 4052.54437980923 | 2945.58080244219 | 5159.50795717628 |
65 | 3685.71996648461 | 2448.93562964016 | 4922.50430332907 |
66 | 4024.5438726263 | 2463.53257254199 | 5585.55517271061 |
67 | 3334.36266726677 | 1760.67973675347 | 4908.04559778008 |
68 | 3595.91148700847 | 1653.36943638253 | 5538.45353763440 |
69 | 3868.91119061594 | 1481.46237789757 | 6256.36000333432 |
70 | 3897.59781883445 | 1154.34468632382 | 6640.85095134508 |
71 | 3683.24978231974 | 742.314523967259 | 6624.18504067222 |
72 | 4114.84521166860 | 519.630799709684 | 7710.05962362753 |