Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.693931469394444 |
beta | 0.433586081757043 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 8320 | 3030 | 5290 |
4 | 8310 | 5162.5475249884 | 3147.4524750116 |
5 | 6750 | 6755.31633536618 | -5.31633536618301 |
6 | 8710 | 6158.6800786863 | 2551.3199213137 |
7 | 6300 | 8103.81283134949 | -1803.81283134949 |
8 | 5710 | 6484.05246428261 | -774.052464282609 |
9 | 5740 | 5345.97906969559 | 394.02093030441 |
10 | 6710 | 5137.02119623264 | 1572.97880376736 |
11 | 7310 | 6219.45562394616 | 1090.54437605384 |
12 | 7240 | 7295.23555092395 | -55.2355509239524 |
13 | 8650 | 7559.30351076338 | 1090.69648923662 |
14 | 8330 | 8946.73747329799 | -616.737473297992 |
15 | 7810 | 8963.76590654603 | -1153.76590654603 |
16 | 8260 | 8260.98944686094 | -0.989446860943644 |
17 | 6680 | 8357.86314591984 | -1677.86314591984 |
18 | 5580 | 6786.26758451596 | -1206.26758451596 |
19 | 6340 | 5178.98640708011 | 1161.01359291989 |
20 | 4490 | 5563.76077553772 | -1073.76077553772 |
21 | 5000 | 4074.68278554239 | 925.317214457612 |
22 | 7030 | 4251.23646556685 | 2778.76353443315 |
23 | 6100 | 6550.02654186616 | -450.026541866165 |
24 | 9740 | 6472.85402819184 | 3267.14597180816 |
25 | 7940 | 9958.16019940935 | -2018.16019940935 |
26 | 7740 | 9168.60401626388 | -1428.60401626388 |
27 | 7820 | 8358.32243545073 | -538.322435450733 |
28 | 7820 | 8003.86532969085 | -183.86532969085 |
29 | 5380 | 7840.05594270442 | -2460.05594270442 |
30 | 7070 | 5356.54702103747 | 1713.45297896253 |
31 | 6970 | 6284.7093427303 | 685.290657269702 |
32 | 4080 | 6705.58705980478 | -2625.58705980478 |
33 | 4930 | 4038.95845829225 | 891.041541707752 |
34 | 4820 | 4080.72482146942 | 739.275178530584 |
35 | 6220 | 4239.60812551282 | 1980.39187448718 |
36 | 6360 | 5855.59974199454 | 504.400258005462 |
37 | 7630 | 6599.11778599499 | 1030.88221400501 |
38 | 5130 | 8018.14906465047 | -2888.14906465047 |
39 | 6960 | 5848.657729615 | 1111.342270385 |
40 | 5350 | 6788.91887431135 | -1438.91887431135 |
41 | 6290 | 5526.53304494947 | 763.466955050531 |
42 | 4630 | 6022.16324477703 | -1392.16324477703 |
43 | 5130 | 4603.06109030045 | 526.938909699554 |
44 | 3620 | 4674.22918014323 | -1054.22918014323 |
45 | 3980 | 3330.97952427227 | 649.020475727727 |
46 | 3120 | 3364.94505397036 | -244.94505397036 |
47 | 4310 | 2704.86094059345 | 1605.13905940655 |
48 | 4250 | 3811.56109262475 | 438.438907375247 |
49 | 5730 | 4240.5683655865 | 1489.4316344135 |
50 | 3630 | 5847.03130662597 | -2217.03130662597 |
51 | 5680 | 4214.40475076091 | 1465.59524923909 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
52 | 5578.23552434524 | 2279.93598210782 | 8876.53506658266 |
53 | 5925.04363308757 | 1272.63116449264 | 10577.4561016825 |
54 | 6271.85174182991 | -45.4547087747214 | 12589.1581924345 |
55 | 6618.65985057224 | -1605.61576401502 | 14842.9354651595 |
56 | 6965.46795931457 | -3369.21442744025 | 17300.1503460694 |
57 | 7312.2760680569 | -5312.25898150826 | 19936.8111176221 |
58 | 7659.08417679924 | -7418.31803340006 | 22736.4863869985 |
59 | 8005.89228554157 | -9675.25159945643 | 25687.0361705396 |
60 | 8352.7003942839 | -12073.5800481992 | 28778.980836767 |
61 | 8699.50850302623 | -14605.5978211821 | 32004.6148272345 |
62 | 9046.31661176857 | -17264.8533690721 | 35357.4865926092 |
63 | 9393.1247205109 | -20045.8232927029 | 38832.0727337247 |