Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.842738612560252 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 93 | 94 | -1 |
3 | 92 | 93.1572613874397 | -1.15726138743975 |
4 | 90 | 92.1819925314192 | -2.18199253141921 |
5 | 110 | 90.3431431728742 | 19.6568568271258 |
6 | 109 | 106.908735422662 | 2.09126457733829 |
7 | 94 | 108.671124831064 | -14.6711248310642 |
8 | 84 | 96.3072014462349 | -12.3072014462349 |
9 | 85 | 85.9354475749354 | -0.93544757493538 |
10 | 85 | 85.1471097835115 | -0.147109783511482 |
11 | 86 | 85.023134688661 | 0.976865311339026 |
12 | 88 | 85.846376805797 | 2.15362319420294 |
13 | 93 | 87.6613182284572 | 5.33868177154278 |
14 | 94 | 92.1604314975079 | 1.83956850249211 |
15 | 90 | 93.7107069050076 | -3.71070690500763 |
16 | 91 | 90.5835509162638 | 0.416449083736239 |
17 | 104 | 90.9345086392936 | 13.0654913607064 |
18 | 103 | 101.945302701033 | 1.05469729896672 |
19 | 88 | 102.834136839436 | -14.8341368394355 |
20 | 79 | 90.3328369408407 | -11.3328369408407 |
21 | 82 | 80.782217660945 | 1.21778233905496 |
22 | 88 | 81.8084898597606 | 6.1915101402394 |
23 | 93 | 87.0263145249987 | 5.97368547500132 |
24 | 89 | 92.0605699340726 | -3.06056993407262 |
25 | 94 | 89.4813094741886 | 4.51869052581137 |
26 | 96 | 93.2893844585 | 2.71061554149995 |
27 | 94 | 95.573724839128 | -1.57372483912798 |
28 | 92 | 94.2474861516497 | -2.24748615164967 |
29 | 113 | 92.35344279046 | 20.6465572095400 |
30 | 122 | 109.753093767374 | 12.2469062326264 |
31 | 107 | 120.074034534013 | -13.0740345340127 |
32 | 98 | 109.056040810254 | -11.0560408102540 |
33 | 103 | 99.738688317411 | 3.26131168258898 |
34 | 110 | 102.487121599923 | 7.5128784000774 |
35 | 113 | 108.818514319138 | 4.18148568086228 |
36 | 110 | 112.342413760268 | -2.34241376026816 |
37 | 123 | 110.368371237898 | 12.6316287621023 |
38 | 124 | 121.013532535248 | 2.98646746475202 |
39 | 118 | 123.530343982949 | -5.53034398294943 |
40 | 117 | 118.869709567778 | -1.86970956777768 |
41 | 139 | 117.294033120738 | 21.7059668792619 |
42 | 146 | 135.586489532846 | 10.4135104671540 |
43 | 134 | 144.362356895817 | -10.3623568958170 |
44 | 121 | 135.629598622582 | -14.6295986225820 |
45 | 123 | 123.300670977074 | -0.300670977073878 |
46 | 122 | 123.047283935018 | -1.04728393501750 |
47 | 127 | 122.164697324664 | 4.83530267533578 |
48 | 122 | 126.239593592586 | -4.23959359258556 |
49 | 139 | 122.666724370551 | 16.3332756294493 |
50 | 136 | 136.431406413077 | -0.431406413076957 |
51 | 127 | 136.067843571071 | -9.06784357107088 |
52 | 123 | 128.426021661073 | -5.42602166107321 |
53 | 140 | 123.853303694698 | 16.1466963053015 |
54 | 146 | 137.46074813646 | 8.53925186353996 |
55 | 138 | 144.657105404242 | -6.65710540424226 |
56 | 120 | 139.046905632204 | -19.0469056322038 |
57 | 122 | 122.995342806154 | -0.995342806154326 |
58 | 115 | 122.156528990674 | -7.156528990674 |
59 | 115 | 116.125445678326 | -1.12544567832617 |
60 | 102 | 115.176989148862 | -13.1769891488617 |
61 | 119 | 104.072231595828 | 14.9277684041715 |
62 | 114 | 116.652438429381 | -2.65243842938075 |
63 | 108 | 114.417126147503 | -6.41712614750293 |
64 | 102 | 109.009166161332 | -7.00916616133219 |
65 | 121 | 103.102271195327 | 17.8977288046732 |
66 | 109 | 118.185378336157 | -9.18537833615675 |
67 | 102 | 110.444505341303 | -8.44450534130301 |
68 | 95 | 103.327994626216 | -8.32799462621568 |
69 | 98 | 96.3096719895094 | 1.69032801049056 |
70 | 92 | 97.734176671842 | -5.73417667184198 |
71 | 94 | 92.9017645792385 | 1.09823542076150 |
72 | 90 | 93.8272899739956 | -3.82728997399558 |
73 | 113 | 90.6018849314448 | 22.3981150685552 |
74 | 111 | 109.477641348284 | 1.52235865171613 |
75 | 103 | 110.760591766250 | -7.76059176625023 |
76 | 90 | 104.220441428514 | -14.220441428514 |
77 | 108 | 92.2363263490538 | 15.7636736509462 |
78 | 99 | 105.520982810505 | -6.5209828105048 |
79 | 95 | 100.025498804251 | -5.02549880425073 |
80 | 91 | 95.7903169145333 | -4.79031691453326 |
81 | 85 | 91.7533318842556 | -6.75333188425559 |
82 | 72 | 86.0620383419591 | -14.0620383419591 |
83 | 90 | 74.2114156598874 | 15.7885843401126 |
84 | 90 | 87.5170653209644 | 2.48293467903558 |
85 | 114 | 89.6095302474526 | 24.3904697525474 |
86 | 115 | 110.164320886407 | 4.83567911359282 |
87 | 104 | 114.239534393383 | -10.2395343933830 |
88 | 93 | 105.610283385440 | -12.6102833854404 |
89 | 101 | 94.9831106612028 | 6.01688933879723 |
90 | 90 | 100.053775634509 | -10.0537756345093 |
91 | 79 | 91.5810707052909 | -12.5810707052909 |
92 | 75 | 80.9785166345916 | -5.97851663459161 |
93 | 71 | 75.9401898207875 | -4.9401898207875 |
94 | 61 | 71.7769011054328 | -10.7769011054328 |
95 | 84 | 62.6947904201413 | 21.3052095798587 |
96 | 87 | 80.6495131817768 | 6.35048681822319 |
97 | 107 | 86.0013136320484 | 20.9986863679516 |
98 | 99 | 103.697717447364 | -4.6977174473638 |
99 | 93 | 99.7387695635723 | -6.73876956357233 |
100 | 74 | 94.0597482512041 | -20.0597482512041 |
101 | 87 | 77.1546238416764 | 9.84537615832357 |
102 | 71 | 85.4517024854758 | -14.4517024854758 |
103 | 67 | 73.2726947837324 | -6.27269478373239 |
104 | 61 | 67.9864526846758 | -6.98645268467583 |
105 | 63 | 62.0986992424743 | 0.901300757525725 |
106 | 52 | 62.858260192371 | -10.858260192371 |
107 | 80 | 53.7075850630341 | 26.2924149369659 |
108 | 84 | 75.8652183478712 | 8.13478165212882 |
109 | 102 | 82.7207129508668 | 19.2792870491332 |
110 | 93 | 98.9681125698041 | -5.96811256980415 |
111 | 87 | 93.938553663124 | -6.938553663124 |
112 | 72 | 88.091166575888 | -16.0911665758880 |
113 | 83 | 74.5305191812483 | 8.46948081875175 |
114 | 72 | 81.6680776955488 | -9.66807769554877 |
115 | 66 | 73.5204153122773 | -7.5204153122773 |
116 | 64 | 67.1826709461319 | -3.18267094613185 |
117 | 64 | 64.5005112487529 | -0.500511248752872 |
118 | 47 | 64.078711093408 | -17.0787110934081 |
119 | 77 | 49.685821802232 | 27.314178197768 |
120 | 79 | 72.7045344398425 | 6.29546556015751 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
121 | 78.0099663514305 | 57.0606905589908 | 98.9592421438702 |
122 | 78.0099663514305 | 50.6135644974357 | 105.406368205425 |
123 | 78.0099663514305 | 45.4177354848047 | 110.602197218056 |
124 | 78.0099663514305 | 40.9432131731266 | 115.076719529734 |
125 | 78.0099663514305 | 36.9534824603425 | 119.066450242518 |
126 | 78.0099663514305 | 33.3185180887367 | 122.701414614124 |
127 | 78.0099663514305 | 29.9577424056556 | 126.062190297205 |
128 | 78.0099663514305 | 26.8171259882238 | 129.202806714637 |
129 | 78.0099663514305 | 23.8583497294807 | 132.161582973380 |
130 | 78.0099663514305 | 21.0530680766078 | 134.966864626253 |
131 | 78.0099663514305 | 18.3796138503228 | 137.640318852538 |
132 | 78.0099663514305 | 15.8209832617849 | 140.198949441076 |