Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.508264392434692 |
beta | 0.0121485853196825 |
gamma | 0.979025134159349 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 80 | 62.0852489191577 | 17.9147510808423 |
14 | 42 | 37.0693142214656 | 4.93068577853441 |
15 | 54 | 50.2624573254759 | 3.73754267452414 |
16 | 66 | 62.7449880936243 | 3.25501190637569 |
17 | 81 | 80.9904950086013 | 0.00950499139865713 |
18 | 63 | 68.9357142664024 | -5.93571426640243 |
19 | 137 | 127.682283560669 | 9.31771643933099 |
20 | 72 | 63.9398965036318 | 8.06010349636821 |
21 | 107 | 81.2653440255108 | 25.7346559744892 |
22 | 58 | 38.1033224586761 | 19.8966775413239 |
23 | 36 | 127.400100077273 | -91.4001000772726 |
24 | 52 | 207.755430375571 | -155.755430375571 |
25 | 79 | 83.9720467922422 | -4.97204679224224 |
26 | 77 | 39.8032959751675 | 37.1967040248325 |
27 | 54 | 71.8562522685251 | -17.8562522685251 |
28 | 84 | 74.1421311813793 | 9.85786881862067 |
29 | 48 | 96.3723303359829 | -48.3723303359829 |
30 | 96 | 58.2926090172794 | 37.7073909827206 |
31 | 83 | 160.804925830847 | -77.8049258308473 |
32 | 66 | 59.7164214754646 | 6.28357852453544 |
33 | 61 | 80.2620666352148 | -19.2620666352148 |
34 | 53 | 30.2403093461326 | 22.7596906538674 |
35 | 30 | 42.1008083103332 | -12.1008083103332 |
36 | 74 | 83.996295678302 | -9.99629567830202 |
37 | 69 | 118.499265778718 | -49.4992657787178 |
38 | 59 | 60.7944264491956 | -1.79442644919558 |
39 | 42 | 48.464872589241 | -6.46487258924104 |
40 | 65 | 65.4427349518747 | -0.442734951874669 |
41 | 70 | 50.6089195881704 | 19.3910804118296 |
42 | 100 | 89.0092631934354 | 10.9907368065646 |
43 | 63 | 109.593890953957 | -46.5938909539572 |
44 | 105 | 63.8656295098934 | 41.1343704901066 |
45 | 82 | 89.0076172144281 | -7.00761721442814 |
46 | 81 | 52.848154496566 | 28.151845503434 |
47 | 75 | 44.6724784732065 | 30.3275215267935 |
48 | 102 | 155.951624760774 | -53.9516247607736 |
49 | 121 | 151.815615614101 | -30.8156156141009 |
50 | 98 | 116.103656058154 | -18.1036560581542 |
51 | 76 | 80.9242370425421 | -4.92423704254213 |
52 | 77 | 120.331036228097 | -43.331036228097 |
53 | 63 | 87.587920514922 | -24.587920514922 |
54 | 37 | 100.646168372816 | -63.6461683728157 |
55 | 35 | 55.3707922763374 | -20.3707922763374 |
56 | 23 | 55.8437628857073 | -32.8437628857073 |
57 | 40 | 32.2739205553888 | 7.72607944461116 |
58 | 29 | 28.1724584679418 | 0.827541532058206 |
59 | 37 | 19.812921829093 | 17.187078170907 |
60 | 51 | 47.7747629796464 | 3.22523702035363 |
61 | 20 | 65.3647846084476 | -45.3647846084476 |
62 | 28 | 37.4383425490998 | -9.43834254909981 |
63 | 13 | 26.2915101865442 | -13.2915101865442 |
64 | 22 | 24.6422453649333 | -2.64224536493332 |
65 | 25 | 22.4404248809642 | 2.55957511903584 |
66 | 13 | 21.0014091160599 | -8.00140911605987 |
67 | 16 | 19.6310715708089 | -3.63107157080892 |
68 | 13 | 16.931682936353 | -3.93168293635302 |
69 | 16 | 22.854174141207 | -6.85417414120698 |
70 | 17 | 13.9853838626643 | 3.01461613733571 |
71 | 9 | 13.7656378268666 | -4.76563782686655 |
72 | 17 | 15.4008757793652 | 1.59912422063484 |
73 | 25 | 10.1898035989444 | 14.8101964010556 |
74 | 14 | 27.8626917790874 | -13.8626917790874 |
75 | 8 | 13.110021902923 | -5.11002190292302 |
76 | 7 | 18.6370772937792 | -11.6370772937792 |
77 | 10 | 13.7236343821601 | -3.72363438216008 |
78 | 7 | 7.76991313461904 | -0.769913134619041 |
79 | 10 | 10.0613597590645 | -0.0613597590644979 |
80 | 3 | 9.29723138678188 | -6.29723138678188 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 8.99905097450772 | -51.9353069116557 | 69.9334088606711 |
82 | 8.65140459553057 | -58.8559280279934 | 76.1587372190545 |
83 | 5.66441924524062 | -61.0074346376054 | 72.3362731280867 |
84 | 10.1648195622737 | -84.1446639296237 | 104.474303054171 |
85 | 8.61507856005386 | -80.1945758407049 | 97.4247329608126 |
86 | 6.66563071424487 | -74.7714113512884 | 88.1026727797781 |
87 | 4.7837821187888 | -70.1718999125974 | 79.7394641501749 |
88 | 6.23643494044997 | -85.2968321790821 | 97.769702059982 |
89 | 10.1808474630549 | -124.218650414004 | 144.580345340114 |
90 | 7.44390546148555 | -100.018195959591 | 114.906006882562 |
91 | 10.5878982292271 | -133.626573696938 | 154.802370155392 |
92 | 4.91873234704401 | -62.5342195947033 | 72.3716842887913 |