Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.508264392434624 |
beta | 0.0121485853197237 |
gamma | 0.979025134159377 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 80 | 62.0852489191577 | 17.9147510808423 |
14 | 42 | 37.0693142214652 | 4.93068577853484 |
15 | 54 | 50.2624573254755 | 3.73754267452446 |
16 | 66 | 62.7449880936243 | 3.25501190637567 |
17 | 81 | 80.9904950086018 | 0.00950499139824501 |
18 | 63 | 68.9357142664032 | -5.93571426640315 |
19 | 137 | 127.682283560671 | 9.31771643932878 |
20 | 72 | 63.9398965036325 | 8.06010349636755 |
21 | 107 | 81.2653440255113 | 25.7346559744887 |
22 | 58 | 38.103322458676 | 19.896677541324 |
23 | 36 | 127.400100077271 | -91.4001000772712 |
24 | 52 | 207.755430375586 | -155.755430375586 |
25 | 79 | 83.9720467922538 | -4.97204679225385 |
26 | 77 | 39.8032959751694 | 37.1967040248306 |
27 | 54 | 71.8562522685229 | -17.8562522685229 |
28 | 84 | 74.1421311813788 | 9.85786881862123 |
29 | 48 | 96.372330335981 | -48.372330335981 |
30 | 96 | 58.2926090172797 | 37.7073909827203 |
31 | 83 | 160.804925830844 | -77.8049258308437 |
32 | 66 | 59.7164214754658 | 6.28357852453421 |
33 | 61 | 80.2620666352152 | -19.2620666352152 |
34 | 53 | 30.2403093461331 | 22.7596906538669 |
35 | 30 | 42.1008083103263 | -12.1008083103263 |
36 | 74 | 83.9962956782891 | -9.99629567828912 |
37 | 69 | 118.499265778722 | -49.4992657787218 |
38 | 59 | 60.7944264492036 | -1.7944264492036 |
39 | 42 | 48.4648725892409 | -6.4648725892409 |
40 | 65 | 65.4427349518743 | -0.442734951874314 |
41 | 70 | 50.6089195881656 | 19.3910804118344 |
42 | 100 | 89.0092631934349 | 10.9907368065651 |
43 | 63 | 109.593890953947 | -46.5938909539475 |
44 | 105 | 63.8656295098935 | 41.1343704901065 |
45 | 82 | 89.0076172144237 | -7.00761721442368 |
46 | 81 | 52.8481544965684 | 28.1518455034316 |
47 | 75 | 44.6724784732014 | 30.3275215267986 |
48 | 102 | 155.951624760753 | -53.9516247607527 |
49 | 121 | 151.815615614091 | -30.8156156140915 |
50 | 98 | 116.103656058164 | -18.1036560581635 |
51 | 76 | 80.9242370425471 | -4.92423704254708 |
52 | 77 | 120.331036228104 | -43.3310362281039 |
53 | 63 | 87.587920514926 | -24.587920514926 |
54 | 37 | 100.64616837282 | -63.64616837282 |
55 | 35 | 55.3707922763358 | -20.3707922763358 |
56 | 23 | 55.8437628857082 | -32.8437628857082 |
57 | 40 | 32.2739205553864 | 7.72607944461357 |
58 | 29 | 28.1724584679399 | 0.82754153206011 |
59 | 37 | 19.8129218290899 | 17.1870781709101 |
60 | 51 | 47.7747629796345 | 3.22523702036547 |
61 | 20 | 65.3647846084341 | -45.3647846084341 |
62 | 28 | 37.4383425490945 | -9.43834254909454 |
63 | 13 | 26.2915101865408 | -13.2915101865408 |
64 | 22 | 24.6422453649286 | -2.64224536492863 |
65 | 25 | 22.4404248809591 | 2.55957511904086 |
66 | 13 | 21.0014091160539 | -8.00140911605391 |
67 | 16 | 19.6310715708034 | -3.63107157080337 |
68 | 13 | 16.9316829363479 | -3.93168293634785 |
69 | 16 | 22.8541741412014 | -6.85417414120143 |
70 | 17 | 13.9853838626603 | 3.01461613733969 |
71 | 9 | 13.7656378268624 | -4.7656378268624 |
72 | 17 | 15.400875779358 | 1.59912422064199 |
73 | 25 | 10.1898035989389 | 14.8101964010611 |
74 | 14 | 27.8626917790798 | -13.8626917790798 |
75 | 8 | 13.1100219029194 | -5.11002190291944 |
76 | 7 | 18.6370772937744 | -11.6370772937744 |
77 | 10 | 13.7236343821553 | -3.72363438215529 |
78 | 7 | 7.76991313461519 | -0.769913134615187 |
79 | 10 | 10.0613597590593 | -0.0613597590592896 |
80 | 3 | 9.29723138677711 | -6.29723138677711 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 8.99905097450173 | -51.9353069116635 | 69.933408860667 |
82 | 8.65140459552228 | -58.8559280280036 | 76.1587372190481 |
83 | 5.66441924523338 | -61.0074346376145 | 72.3362731280813 |
84 | 10.1648195622573 | -84.1446639296397 | 104.474303054154 |
85 | 8.61507856003649 | -80.1945758407179 | 97.4247329607909 |
86 | 6.6656307142292 | -74.7714113513002 | 88.1026727797586 |
87 | 4.78378211877638 | -70.1718999126089 | 79.7394641501617 |
88 | 6.23643494043251 | -85.2968321790991 | 97.7697020599641 |
89 | 10.1808474630254 | -124.218650414045 | 144.580345340096 |
90 | 7.44390546146279 | -100.018195959627 | 114.906006882553 |
91 | 10.5878982291931 | -133.626573696998 | 154.802370155384 |
92 | 4.91873234702756 | -62.53421959485 | 72.3716842889051 |