Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.520658832476646 |
beta | 0.067876565022126 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 31 | 33.4532585470086 | -2.45325854700855 |
14 | 27 | 27.9437063932419 | -0.94370639324185 |
15 | 25 | 25.1867648143938 | -0.186764814393758 |
16 | 16 | 15.733997852804 | 0.266002147196016 |
17 | 20 | 19.7763686665064 | 0.223631333493614 |
18 | 21 | 20.5545819923582 | 0.445418007641752 |
19 | 25 | 21.6306784855387 | 3.36932151446134 |
20 | 24 | 25.2648714500169 | -1.26487145001688 |
21 | 28 | 25.6081963514623 | 2.39180364853766 |
22 | 27 | 27.2732623898035 | -0.273262389803502 |
23 | 23 | 28.5827476842845 | -5.58274768428446 |
24 | 36 | 27.5971719516474 | 8.40282804835264 |
25 | 37 | 30.8059890247365 | 6.19401097526351 |
26 | 30 | 30.9832039372543 | -0.983203937254345 |
27 | 27 | 29.0280343300292 | -2.02803433002919 |
28 | 22 | 19.2280559865027 | 2.77194401349728 |
29 | 22 | 25.0378508230883 | -3.03785082308835 |
30 | 25 | 24.5919869542078 | 0.408013045792174 |
31 | 33 | 27.4165644467448 | 5.5834355532552 |
32 | 35 | 30.426852848416 | 4.57314715158404 |
33 | 35 | 36.2135641724589 | -1.21356417245894 |
34 | 29 | 35.2475476858376 | -6.2475476858376 |
35 | 25 | 31.2138392076751 | -6.21383920767513 |
36 | 34 | 36.8936647030592 | -2.89366470305916 |
37 | 31 | 33.0529844221037 | -2.05298442210366 |
38 | 29 | 25.0954388777111 | 3.90456112228889 |
39 | 21 | 24.9564784361836 | -3.95647843618357 |
40 | 19 | 16.1572949530762 | 2.8427050469238 |
41 | 18 | 18.9255881332673 | -0.925588133267304 |
42 | 25 | 21.0124152164847 | 3.98758478351532 |
43 | 23 | 28.0892037074708 | -5.08920370747081 |
44 | 22 | 24.588920918756 | -2.588920918756 |
45 | 20 | 23.1502235058481 | -3.15022350584807 |
46 | 15 | 17.9718243487919 | -2.97182434879194 |
47 | 17 | 14.9845254806881 | 2.01547451931187 |
48 | 25 | 26.156057971405 | -1.156057971405 |
49 | 26 | 23.3000043929845 | 2.69999560701545 |
50 | 26 | 20.5177633091302 | 5.48223669086979 |
51 | 23 | 17.3327961938787 | 5.66720380612129 |
52 | 24 | 17.0441849675901 | 6.95581503240989 |
53 | 24 | 20.5338551850987 | 3.46614481490132 |
54 | 42 | 27.8037170904305 | 14.1962829095695 |
55 | 40 | 36.7470111008003 | 3.25298889919974 |
56 | 45 | 39.9856056445657 | 5.01439435543433 |
57 | 47 | 43.7022438614477 | 3.29775613855232 |
58 | 40 | 43.6600891697468 | -3.66008916974681 |
59 | 39 | 44.3742660117104 | -5.37426601171036 |
60 | 49 | 51.5860705744426 | -2.58607057444264 |
61 | 55 | 51.191347956425 | 3.80865204357505 |
62 | 54 | 51.7166762658176 | 2.28332373418243 |
63 | 48 | 48.2384728670048 | -0.238472867004774 |
64 | 44 | 46.5676372155521 | -2.56763721555208 |
65 | 48 | 44.1644653155488 | 3.83553468445121 |
66 | 62 | 57.5214746833759 | 4.47852531662414 |
67 | 57 | 56.5675547520897 | 0.432445247910273 |
68 | 60 | 59.4902366714991 | 0.509763328500867 |
69 | 56 | 60.1877617203679 | -4.18776172036789 |
70 | 57 | 52.797600284894 | 4.20239971510598 |
71 | 54 | 56.9462163685593 | -2.94621636855931 |
72 | 62 | 67.0069523359699 | -5.00695233596994 |
73 | 65 | 68.5797238562198 | -3.57972385621977 |
74 | 68 | 64.4286610041063 | 3.57133899589368 |
75 | 69 | 60.359377007645 | 8.64062299235505 |
76 | 67 | 62.4559524697232 | 4.54404753027679 |
77 | 72 | 67.3370724590954 | 4.66292754090463 |
78 | 82 | 81.9745501287929 | 0.0254498712070728 |
79 | 72 | 77.1467373538709 | -5.14673735387088 |
80 | 77 | 77.3885519880273 | -0.388551988027331 |
81 | 79 | 75.5218188247699 | 3.47818117523011 |
82 | 78 | 76.5708412871296 | 1.42915871287043 |
83 | 76 | 76.1770043950383 | -0.177004395038267 |
84 | 79 | 87.1177103046535 | -8.11771030465347 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 88.070982587435 | 79.9318722909182 | 96.2100928839519 |
86 | 89.6540577536913 | 80.3414952710334 | 98.9666202363492 |
87 | 86.4715524088726 | 75.9887759251451 | 96.9543288926002 |
88 | 82.1166010384526 | 70.458773669134 | 93.7744284077712 |
89 | 84.5391646783563 | 71.6963338922973 | 97.3819954644154 |
90 | 94.2114816823134 | 80.1703219083436 | 108.252641456283 |
91 | 86.5758442362144 | 71.320746443016 | 101.830942029413 |
92 | 91.6447039946236 | 75.158488560029 | 108.130919429218 |
93 | 91.7140466131453 | 73.9784464277438 | 109.449646798547 |
94 | 89.7273100976971 | 70.7233071895595 | 108.731313005835 |
95 | 87.5263293599868 | 67.2343947243994 | 107.818263995574 |
96 | 94.4660027198983 | 72.8662702628845 | 116.065735176912 |