Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.539862583200514 |
beta | 0 |
gamma | 0.745833250671537 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 68184 | 67583.3229318951 | 600.677068104851 |
14 | 50530 | 50346.619029349 | 183.380970650964 |
15 | 47221 | 47181.0844524682 | 39.9155475317966 |
16 | 41756 | 41721.0903512704 | 34.9096487295683 |
17 | 45633 | 45994.2662300528 | -361.266230052781 |
18 | 48138 | 48788.9013856503 | -650.901385650279 |
19 | 39486 | 38541.1617058299 | 944.838294170098 |
20 | 39341 | 41256.9861780551 | -1915.98617805513 |
21 | 41117 | 39577.6452909047 | 1539.35470909526 |
22 | 41629 | 41891.0376683898 | -262.03766838977 |
23 | 29722 | 37501.4440341034 | -7779.4440341034 |
24 | 7054 | 7705.77137930593 | -651.771379305931 |
25 | 56676 | 57498.9656568246 | -822.965656824592 |
26 | 34870 | 42224.5641755679 | -7354.56417556787 |
27 | 35117 | 35743.9092878029 | -626.909287802933 |
28 | 30169 | 31293.4229468596 | -1124.42294685958 |
29 | 30936 | 33712.4340404568 | -2776.43404045683 |
30 | 35699 | 34250.3069098494 | 1448.69309015063 |
31 | 33228 | 28236.1595762837 | 4991.84042371632 |
32 | 27733 | 31878.9293811419 | -4145.92938114189 |
33 | 33666 | 30037.3700373939 | 3628.6299626061 |
34 | 35429 | 32671.1723992912 | 2757.82760070878 |
35 | 27438 | 28284.8943049087 | -846.894304908703 |
36 | 8170 | 6787.40798731237 | 1382.59201268763 |
37 | 63410 | 60452.9774422046 | 2957.02255779543 |
38 | 38040 | 43104.6872484937 | -5064.6872484937 |
39 | 45389 | 40140.8330455186 | 5248.1669544814 |
40 | 37353 | 37735.0349811526 | -382.034981152581 |
41 | 37024 | 40519.9872935448 | -3495.9872935448 |
42 | 50957 | 42928.3638890324 | 8028.63611096761 |
43 | 37994 | 39641.5763308002 | -1647.57633080017 |
44 | 36454 | 36027.3356015519 | 426.664398448105 |
45 | 46080 | 40098.1596186698 | 5981.84038133018 |
46 | 43373 | 43764.3151467551 | -391.315146755122 |
47 | 37395 | 34724.0257454668 | 2670.97425453316 |
48 | 10963 | 9475.82493404056 | 1487.17506595944 |
49 | 76058 | 78861.3911665121 | -2803.39116651208 |
50 | 50179 | 50591.9004056622 | -412.900405662222 |
51 | 57452 | 54529.7873835836 | 2922.21261641638 |
52 | 47568 | 47120.5805849614 | 447.419415038632 |
53 | 50050 | 49723.0977562049 | 326.902243795077 |
54 | 50856 | 60562.06101674 | -9706.06101673997 |
55 | 41992 | 43205.7237386836 | -1213.72373868356 |
56 | 39284 | 40306.6504542992 | -1022.65045429916 |
57 | 44521 | 45863.4797320323 | -1342.4797320323 |
58 | 43832 | 43396.9985652448 | 435.001434755184 |
59 | 41153 | 35778.8502141063 | 5374.14978589372 |
60 | 17100 | 10374.8417362162 | 6725.15826378385 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 101098.895404923 | 95034.7944603279 | 107162.996349519 |
62 | 66771.9963732086 | 60232.1855569568 | 73311.8071894605 |
63 | 73788.0345489206 | 65985.3930252905 | 81590.6760725508 |
64 | 61078.9252730168 | 53159.9167039314 | 68997.9338421022 |
65 | 64060.604697807 | 55092.5370423237 | 73028.6723532903 |
66 | 72904.2709013642 | 62363.116359642 | 83445.4254430865 |
67 | 59992.489796679 | 50172.873053278 | 69812.10654008 |
68 | 56884.6285515667 | 46747.312508413 | 67021.9445947205 |
69 | 65535.290800737 | 53593.3241549558 | 77477.2574465182 |
70 | 63874.7958873326 | 51611.9387089189 | 76137.6530657464 |
71 | 54689.4037153958 | 43281.7766906107 | 66097.030740181 |
72 | 16308.6812202332 | 13061.4324686109 | 19555.9299718555 |