Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.199376799003901 |
beta | 0 |
gamma | 0.684151704720979 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 56421 | 57234.381038922 | -813.381038922009 |
14 | 53152 | 54201.1357606105 | -1049.13576061049 |
15 | 53536 | 54461.1980064574 | -925.198006457373 |
16 | 52408 | 53057.4198218257 | -649.419821825708 |
17 | 41454 | 42097.387400011 | -643.387400011001 |
18 | 38271 | 38905.0556552769 | -634.05565527692 |
19 | 35306 | 39515.6186778861 | -4209.61867788613 |
20 | 26414 | 31391.1847454938 | -4977.18474549379 |
21 | 31917 | 27746.5052679411 | 4170.49473205891 |
22 | 38030 | 38378.6830845338 | -348.683084533761 |
23 | 27534 | 30028.7838410811 | -2494.7838410811 |
24 | 18387 | 19041.5831630339 | -654.583163033851 |
25 | 50556 | 49491.9561710655 | 1064.04382893450 |
26 | 43901 | 47033.0895712692 | -3132.08957126924 |
27 | 48572 | 46834.9487503428 | 1737.05124965725 |
28 | 43899 | 46207.4166924274 | -2308.41669242737 |
29 | 37532 | 36294.3735774642 | 1237.62642253582 |
30 | 40357 | 33827.798117882 | 6529.201882118 |
31 | 35489 | 33949.1238106013 | 1539.87618939874 |
32 | 29027 | 26905.0162816868 | 2121.98371831315 |
33 | 34485 | 29589.1074065604 | 4895.89259343959 |
34 | 42598 | 37817.4939242395 | 4780.50607576048 |
35 | 30306 | 29132.3782028329 | 1173.62179716713 |
36 | 26451 | 19482.3312014727 | 6968.66879852731 |
37 | 47460 | 56370.3845567696 | -8910.3845567696 |
38 | 50104 | 49197.7801417312 | 906.219858268814 |
39 | 61465 | 52820.0757512737 | 8644.92424872626 |
40 | 53726 | 50952.4212021446 | 2773.5787978554 |
41 | 39477 | 42841.3859745836 | -3364.38597458358 |
42 | 43895 | 42261.9970477072 | 1633.00295229285 |
43 | 31481 | 38295.1509791512 | -6814.15097915116 |
44 | 29896 | 29526.4138223395 | 369.586177660527 |
45 | 33842 | 33446.4831296276 | 395.51687037239 |
46 | 39120 | 40711.7028193735 | -1591.70281937352 |
47 | 33702 | 29050.3941651947 | 4651.6058348053 |
48 | 25094 | 23021.0513582380 | 2072.94864176204 |
49 | 51442 | 48708.4559282571 | 2733.54407174286 |
50 | 45594 | 49230.1589700954 | -3636.15897009538 |
51 | 52518 | 55820.2128373136 | -3302.21283731356 |
52 | 48564 | 48791.8887243184 | -227.888724318414 |
53 | 41745 | 37645.4239278865 | 4099.57607211349 |
54 | 49585 | 41142.8600356399 | 8442.13996436012 |
55 | 32747 | 33903.1120178406 | -1156.11201784058 |
56 | 33379 | 30150.2574978125 | 3228.74250218748 |
57 | 35645 | 34789.0996927706 | 855.900307229422 |
58 | 37034 | 41279.1139050477 | -4245.11390504766 |
59 | 35681 | 32249.7573672378 | 3431.24263276219 |
60 | 20972 | 24441.1266246407 | -3469.12662464072 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 48503.7594744825 | 43039.8199015168 | 53967.6990474481 |
62 | 45106.4897985651 | 39474.8359902228 | 50738.1436069073 |
63 | 52347.0844162315 | 46406.5790083298 | 58287.5898241332 |
64 | 47743.8478680854 | 41725.4341188792 | 53762.2616172915 |
65 | 39119.6034260896 | 33150.8106960551 | 45088.396156124 |
66 | 43795.6820918943 | 37480.9271901814 | 50110.4369936071 |
67 | 30688.7985670687 | 24697.6680381675 | 36679.92909597 |
68 | 29600.4552754024 | 23472.9665380691 | 35727.9440127356 |
69 | 32030.244022973 | 25588.5680250853 | 38471.9200208608 |
70 | 35152.0426999979 | 28322.2455426080 | 41981.8398573878 |
71 | 31430.7634576107 | 24709.7357751162 | 38151.7911401052 |
72 | 20288.1785769024 | 17574.9405207773 | 23001.4166330275 |