Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.623952021814807 |
beta | 0.100724002028723 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 45 | 50.7978098290599 | -5.79780982905986 |
14 | 42 | 43.800874202842 | -1.80087420284197 |
15 | 40 | 40.0596552002087 | -0.0596552002087094 |
16 | 37 | 36.6094575009549 | 0.390542499045083 |
17 | 28 | 27.5063726358784 | 0.493627364121593 |
18 | 33 | 32.0402974191124 | 0.95970258088763 |
19 | 32 | 33.6336784845388 | -1.63367848453877 |
20 | 38 | 33.7979091561293 | 4.20209084387073 |
21 | 38 | 36.9924684699615 | 1.00753153003851 |
22 | 34 | 37.3404296528171 | -3.34042965281712 |
23 | 38 | 36.0988692004891 | 1.90113079951090 |
24 | 48 | 39.2889379187678 | 8.71106208123223 |
25 | 41 | 36.9286193349037 | 4.07138066509633 |
26 | 41 | 38.5291968783846 | 2.47080312161540 |
27 | 43 | 39.3131155790577 | 3.68688442094231 |
28 | 37 | 39.8103674688996 | -2.81036746889963 |
29 | 22 | 29.988158484071 | -7.98815848407097 |
30 | 30 | 30.1113934267199 | -0.111393426719928 |
31 | 32 | 30.7001820998019 | 1.29981790019806 |
32 | 41 | 35.7126201473182 | 5.28737985268179 |
33 | 44 | 39.2745643782037 | 4.72543562179625 |
34 | 37 | 41.432460453792 | -4.43246045379204 |
35 | 53 | 42.5371557163808 | 10.4628442836192 |
36 | 67 | 55.2248136277431 | 11.7751863722569 |
37 | 62 | 54.8188194887041 | 7.18118051129586 |
38 | 63 | 59.7405111178125 | 3.25948888218755 |
39 | 68 | 63.5060454309873 | 4.49395456901267 |
40 | 62 | 64.1465224511985 | -2.14652245119845 |
41 | 50 | 54.916074212409 | -4.916074212409 |
42 | 64 | 62.235906180166 | 1.76409381983397 |
43 | 71 | 66.9611829803558 | 4.03881701964418 |
44 | 76 | 77.7898683039958 | -1.78986830399580 |
45 | 73 | 78.887576450827 | -5.88757645082707 |
46 | 68 | 72.4756037036228 | -4.47560370362275 |
47 | 78 | 80.6479672788918 | -2.64796727889183 |
48 | 89 | 86.3178753476092 | 2.68212465239080 |
49 | 74 | 78.6084731513218 | -4.6084731513218 |
50 | 74 | 74.0560914241881 | -0.056091424188125 |
51 | 73 | 75.3655560264167 | -2.36555602641674 |
52 | 65 | 67.9462653002144 | -2.94626530021442 |
53 | 55 | 55.8424458748523 | -0.842445874852302 |
54 | 69 | 67.1392195786015 | 1.86078042139850 |
55 | 80 | 71.7094351132315 | 8.29056488676846 |
56 | 81 | 82.1955570202008 | -1.19555702020075 |
57 | 80 | 81.356917915551 | -1.35691791555102 |
58 | 86 | 77.8213321501115 | 8.17866784988851 |
59 | 90 | 94.890419264536 | -4.89041926453596 |
60 | 100 | 101.338370157700 | -1.33837015769979 |
61 | 90 | 88.2989366974835 | 1.70106330251646 |
62 | 89 | 89.71203119589 | -0.71203119589002 |
63 | 83 | 90.0192418004899 | -7.0192418004899 |
64 | 63 | 79.4609203892645 | -16.4609203892645 |
65 | 48 | 58.8494073680886 | -10.8494073680886 |
66 | 62 | 63.4236187732553 | -1.42361877325534 |
67 | 69 | 66.6607785577706 | 2.33922144222939 |
68 | 73 | 67.7906312931231 | 5.2093687068769 |
69 | 76 | 69.2145296871026 | 6.78547031289736 |
70 | 77 | 73.1838160700193 | 3.81618392998067 |
71 | 75 | 81.1807247535695 | -6.18072475356946 |
72 | 77 | 86.6426420725949 | -9.64264207259485 |
73 | 78 | 67.5261303104838 | 10.4738696895162 |
74 | 73 | 72.0183560032792 | 0.981643996720848 |
75 | 74 | 69.6297274034729 | 4.37027259652714 |
76 | 55 | 61.9623910960823 | -6.96239109608229 |
77 | 36 | 49.3196550154634 | -13.3196550154634 |
78 | 41 | 55.6738038908738 | -14.6738038908738 |
79 | 52 | 51.0024634259171 | 0.997536574082872 |
80 | 53 | 51.2341325452072 | 1.76586745479281 |
81 | 49 | 49.7453779544746 | -0.745377954474598 |
82 | 47 | 46.0691281506373 | 0.930871849362731 |
83 | 44 | 46.4950361371652 | -2.49503613716519 |
84 | 55 | 51.1750464882066 | 3.82495351179342 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 47.0930862078173 | 36.0658200539078 | 58.1203523617269 |
86 | 39.8889811536508 | 26.511435479807 | 53.2665268274945 |
87 | 36.5088411074677 | 20.7832411432408 | 52.2344410716946 |
88 | 19.9250812045891 | 1.82622826054023 | 38.0239341486379 |
89 | 7.74551398569121 | -12.7664644743649 | 28.2574924457473 |
90 | 21.2479703177717 | -1.72534948423309 | 44.2212901197765 |
91 | 31.8944658240255 | 6.40671295814429 | 57.3822186899068 |
92 | 31.998867597919 | 3.94074556969415 | 60.0569896261438 |
93 | 28.5591866478995 | -2.12683623947597 | 59.2452095352749 |
94 | 26.1204509708027 | -7.25180538020466 | 59.4927073218101 |
95 | 24.7608150568015 | -11.3562899325663 | 60.8779200461693 |
96 | 33.6146142216486 | -5.30589346177346 | 72.5351219050707 |