Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.804574804859477 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 2.2 | 2 | 0.2 |
3 | 1.9 | 2.1609149609719 | -0.260914960971896 |
4 | 2.3 | 1.95098935716301 | 0.349010642836985 |
5 | 2.2 | 2.23179452701746 | -0.0317945270174622 |
6 | 2.3 | 2.20621345164679 | 0.0937865483532114 |
7 | 2.1 | 2.28167174548652 | -0.181671745486517 |
8 | 2.4 | 2.13550323631322 | 0.264496763686778 |
9 | 2.3 | 2.34831066834247 | -0.0483106683424745 |
10 | 1.9 | 2.3094411217882 | -0.409441121788197 |
11 | 1.6 | 1.98001511112401 | -0.380015111124013 |
12 | 1.8 | 1.67426452724776 | 0.125735472752242 |
13 | 1.8 | 1.77542812070131 | 0.0245718792986929 |
14 | 2 | 1.79519803569308 | 0.204801964306916 |
15 | 2.3 | 1.95997653616016 | 0.340023463839841 |
16 | 2.2 | 2.23355084822674 | -0.0335508482267421 |
17 | 2.2 | 2.20655668106184 | -0.00655668106184137 |
18 | 2 | 2.20128134067599 | -0.201281340675985 |
19 | 2 | 2.03933544527975 | -0.0393354452797503 |
20 | 1.9 | 2.00768713706973 | -0.107687137069735 |
21 | 1.5 | 1.92104477977598 | -0.421044779775977 |
22 | 1.6 | 1.58228275825062 | 0.0177172417493812 |
23 | 1.5 | 1.59653760457378 | -0.0965376045737756 |
24 | 2 | 1.51886588021223 | 0.481134119787771 |
25 | 1.5 | 1.90597427075171 | -0.405974270751711 |
26 | 1.5 | 1.57933760108368 | -0.0793376010836846 |
27 | 1.9 | 1.51550456617376 | 0.38449543382624 |
28 | 1.1 | 1.82485990481387 | -0.724859904813867 |
29 | 1.5 | 1.24165588834779 | 0.258344111652209 |
30 | 2.1 | 1.44951305156696 | 0.650486948433038 |
31 | 2.3 | 1.97287846116611 | 0.32712153883389 |
32 | 2.6 | 2.23607220943872 | 0.363927790561281 |
33 | 2.9 | 2.5288793405125 | 0.371120659487497 |
34 | 3.2 | 2.82747367269898 | 0.372526327301024 |
35 | 3.2 | 3.12719896979222 | 0.0728010302077848 |
36 | 3.1 | 3.18577284446521 | -0.0857728444652128 |
37 | 3 | 3.11676217486737 | -0.116762174867372 |
38 | 3.3 | 3.02281827080849 | 0.277181729191512 |
39 | 2.7 | 3.24583170648336 | -0.54583170648336 |
40 | 3.6 | 2.8066692677534 | 0.793330732246604 |
41 | 3.1 | 3.44496318683973 | -0.344963186839733 |
42 | 2.7 | 3.16741449810445 | -0.467414498104452 |
43 | 2.6 | 2.79134456950357 | -0.191344569503572 |
44 | 2.2 | 2.63739354983432 | -0.437393549834315 |
45 | 2.7 | 2.28547771982958 | 0.414522280170423 |
46 | 2.1 | 2.6189919025076 | -0.5189919025076 |
47 | 1.8 | 2.2014240938239 | -0.401424093823899 |
48 | 1.7 | 1.87844838186964 | -0.178448381869643 |
49 | 1.7 | 1.73487330984939 | -0.0348733098493856 |
50 | 1.2 | 1.70681512338251 | -0.506815123382512 |
51 | 1.2 | 1.2990444443872 | -0.0990444443871956 |
52 | 1.2 | 1.21935577987195 | -0.0193557798719524 |
53 | 1.5 | 1.20378260705857 | 0.296217392941427 |
54 | 1.3 | 1.4421116581804 | -0.142111658180404 |
55 | 1.1 | 1.32777219853165 | -0.227772198531649 |
56 | 1.2 | 1.14451242634563 | 0.0554875736543663 |
57 | 1.3 | 1.18915633009072 | 0.110843669909279 |
58 | 1.6 | 1.27833835417789 | 0.321661645822112 |
59 | 1.9 | 1.53713921009599 | 0.362860789904008 |
60 | 1.6 | 1.82908785932416 | -0.229087859324165 |
61 | 2.1 | 1.64476953961275 | 0.45523046038725 |
62 | 2.2 | 2.01103649844491 | 0.188963501555089 |
63 | 2.3 | 2.16307177083416 | 0.136928229165839 |
64 | 2.1 | 2.27324077409502 | -0.173240774095019 |
65 | 1.7 | 2.13385561208381 | -0.433855612083814 |
66 | 1.7 | 1.78478631765429 | -0.0847863176542905 |
67 | 2.2 | 1.71656938267284 | 0.483430617327164 |
68 | 2 | 2.10552547727194 | -0.105525477271936 |
69 | 1.5 | 2.02062233698816 | -0.520622336988165 |
70 | 1.5 | 1.60174272180043 | -0.101742721800427 |
71 | 1.7 | 1.51988309126198 | 0.180116908738024 |
72 | 2.2 | 1.66480061796176 | 0.535199382038236 |
73 | 2.6 | 2.09540855632609 | 0.50459144367391 |
74 | 2.6 | 2.50139011865379 | 0.0986098813462117 |
75 | 2.3 | 2.58072914469513 | -0.280729144695133 |
76 | 2.3 | 2.35486154788368 | -0.0548615478836787 |
77 | 2.7 | 2.31072132870088 | 0.389278671299121 |
78 | 2.7 | 2.62392513969733 | 0.0760748603026746 |
79 | 2.5 | 2.68513305558006 | -0.185133055580062 |
80 | 2.5 | 2.53617966351369 | -0.0361796635136948 |
81 | 2.7 | 2.50707041780228 | 0.192929582197718 |
82 | 2.6 | 2.66229669875063 | -0.0622966987506315 |
83 | 2.6 | 2.61217434450995 | -0.0121743445099529 |
84 | 2.4 | 2.60237917365157 | -0.202379173651566 |
85 | 1.4 | 2.43954998950323 | -1.03954998950323 |
86 | 1.8 | 1.603154259557 | 0.196845740443002 |
87 | 2.1 | 1.76153138276135 | 0.338468617238654 |
88 | 1.7 | 2.03385470442719 | -0.333854704427193 |
89 | 1.6 | 1.76524362076127 | -0.165243620761266 |
90 | 1.7 | 1.632292766833 | 0.0677072331670028 |
91 | 1.8 | 1.68676830074591 | 0.113231699254086 |
92 | 2 | 1.77787167307718 | 0.222128326922823 |
93 | 1.9 | 1.95659052836487 | -0.0565905283648696 |
94 | 2 | 1.91105921504881 | 0.0889407849511901 |
95 | 2.1 | 1.98261872974496 | 0.117381270255038 |
96 | 2.3 | 2.07706074235457 | 0.222939257645433 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | 2.25643205207016 | 1.63066475446827 | 2.88219934967204 |
98 | 2.25643205207016 | 1.45326743702513 | 3.05959666711518 |
99 | 2.25643205207016 | 1.30850690366819 | 3.20435720047212 |
100 | 2.25643205207016 | 1.18309576968455 | 3.32976833445576 |
101 | 2.25643205207016 | 1.07087755598075 | 3.44198654815957 |
102 | 2.25643205207016 | 0.968399385050306 | 3.54446471909001 |
103 | 2.25643205207016 | 0.873494295183488 | 3.63936980895683 |
104 | 2.25643205207016 | 0.78469650261326 | 3.72816760152706 |
105 | 2.25643205207016 | 0.700959707202638 | 3.81190439693768 |
106 | 2.25643205207016 | 0.621506089293824 | 3.89135801484649 |
107 | 2.25643205207016 | 0.545738744702474 | 3.96712535943784 |
108 | 2.25643205207016 | 0.473187739031407 | 4.03967636510891 |