Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.9999383030001 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 0.9217 | 0.9383 | -0.0166000000000001 |
3 | 0.9095 | 0.921701024170198 | -0.0122010241701983 |
4 | 0.892 | 0.909500752766587 | -0.0175007527665869 |
5 | 0.8742 | 0.892001079743942 | -0.0178010797439417 |
6 | 0.8607 | 0.874201098273215 | -0.0135010982732151 |
7 | 0.8607 | 0.860700832977259 | -8.32977258835577e-07 |
8 | 0.9005 | 0.860700000051392 | 0.0397999999486077 |
9 | 0.9111 | 0.900497544459407 | 0.0106024555405929 |
10 | 0.9059 | 0.911099345860302 | -0.00519934586030157 |
11 | 0.8883 | 0.905900320784041 | -0.0176003207840411 |
12 | 0.8924 | 0.88830108588699 | 0.00409891411301033 |
13 | 0.8833 | 0.892399747109296 | -0.0090997471092964 |
14 | 0.87 | 0.883300561427096 | -0.0133005614270965 |
15 | 0.8758 | 0.870000820604737 | 0.00579917939526298 |
16 | 0.8858 | 0.87579964220803 | 0.0100003577919706 |
17 | 0.917 | 0.885799383007926 | 0.0312006169920737 |
18 | 0.9554 | 0.916998075015537 | 0.0384019249844634 |
19 | 0.9922 | 0.955397630716438 | 0.0368023692835618 |
20 | 0.9778 | 0.992197729404226 | -0.014397729404226 |
21 | 0.9808 | 0.97780088829671 | 0.00299911170329037 |
22 | 0.9811 | 0.980799814963806 | 0.000300185036194445 |
23 | 1.0014 | 0.981099981479484 | 0.0203000185205162 |
24 | 1.0183 | 1.00139874754976 | 0.0169012524502405 |
25 | 1.0622 | 1.01829895724343 | 0.0439010427565707 |
26 | 1.0773 | 1.06219729143737 | 0.0151027085626305 |
27 | 1.0807 | 1.07729906820819 | 0.00340093179180867 |
28 | 1.0848 | 1.08069979017271 | 0.00410020982728843 |
29 | 1.1582 | 1.08479974702935 | 0.0734002529706452 |
30 | 1.1663 | 1.1581954714246 | 0.00810452857540023 |
31 | 1.1372 | 1.16629949997490 | -0.0290994999749012 |
32 | 1.1139 | 1.13720179535185 | -0.0233017953518471 |
33 | 1.1222 | 1.11390143765087 | 0.00829856234913473 |
34 | 1.1692 | 1.1221994880036 | 0.0470005119964003 |
35 | 1.1702 | 1.16919710020942 | 0.00100289979058377 |
36 | 1.2286 | 1.17019993812409 | 0.0584000618759082 |
37 | 1.2613 | 1.22859639689139 | 0.0327036031086119 |
38 | 1.2646 | 1.26129798228580 | 0.00330201771419758 |
39 | 1.2262 | 1.26459979627541 | -0.0383997962754135 |
40 | 1.1985 | 1.22620236915223 | -0.0277023691522269 |
41 | 1.2007 | 1.19850170915307 | 0.00219829084693335 |
42 | 1.2138 | 1.20069986437205 | 0.0131001356279501 |
43 | 1.2266 | 1.21379919176093 | 0.0128008082390665 |
44 | 1.2176 | 1.22659921022854 | -0.00899921022853523 |
45 | 1.2218 | 1.21760055522427 | 0.00419944477572742 |
46 | 1.249 | 1.22179974090686 | 0.0272002590931439 |
47 | 1.2991 | 1.24899832182562 | 0.0501016781743824 |
48 | 1.3408 | 1.29909690887677 | 0.0417030911232334 |
49 | 1.3119 | 1.34079742704439 | -0.0288974270443911 |
50 | 1.3014 | 1.31190178288455 | -0.0105017828845537 |
51 | 1.3201 | 1.30140064792850 | 0.0186993520715026 |
52 | 1.2938 | 1.32009884630608 | -0.0262988463060772 |
53 | 1.2694 | 1.29380162255992 | -0.0244016225599180 |
54 | 1.2165 | 1.26940150550690 | -0.0529015055069049 |
55 | 1.2037 | 1.21650326386418 | -0.0128032638641800 |
56 | 1.2292 | 1.20370078992297 | 0.0254992100770308 |
57 | 1.2256 | 1.22919842677524 | -0.00359842677523847 |
58 | 1.2015 | 1.22560022201214 | -0.0241002220121365 |
59 | 1.1786 | 1.20150148691140 | -0.0229014869113950 |
60 | 1.1856 | 1.17860141295304 | 0.00699858704696421 |
61 | 1.2103 | 1.18559956820818 | 0.0247004317918242 |
62 | 1.1938 | 1.21029847605746 | -0.0164984760574622 |
63 | 1.202 | 1.19380101790648 | 0.00819898209352443 |
64 | 1.2271 | 1.20199949414740 | 0.0251005058525975 |
65 | 1.277 | 1.22709845137409 | 0.0499015486259069 |
66 | 1.265 | 1.27699692122416 | -0.0119969212241595 |
67 | 1.2684 | 1.26500074017405 | 0.00339925982595246 |
68 | 1.2811 | 1.26839979027587 | 0.0127002097241331 |
69 | 1.2727 | 1.28109921643516 | -0.00839921643516184 |
70 | 1.2611 | 1.27270051820646 | -0.0116005182064554 |
71 | 1.2881 | 1.26110071571717 | 0.0269992842828293 |
72 | 1.3213 | 1.28809833422516 | 0.0332016657748395 |
73 | 1.2999 | 1.32129795155683 | -0.0213979515568299 |
74 | 1.3074 | 1.29990132018942 | 0.00749867981058472 |
75 | 1.3242 | 1.30739953735395 | 0.0168004626460476 |
76 | 1.3516 | 1.32419896346186 | 0.0274010365381421 |
77 | 1.3511 | 1.35159830943825 | -0.000498309438251354 |
78 | 1.3419 | 1.35110003074420 | -0.00920003074419729 |
79 | 1.3716 | 1.34190056761430 | 0.0296994323857038 |
80 | 1.3622 | 1.37159816763412 | -0.00939816763412304 |
81 | 1.3896 | 1.36220057983875 | 0.0273994201612522 |
82 | 1.4227 | 1.38959830953798 | 0.0331016904620232 |
83 | 1.4684 | 1.42269795772501 | 0.045702042274993 |
84 | 1.457 | 1.46839718032110 | -0.0113971803211022 |
85 | 1.4718 | 1.45700070317183 | 0.0147992968281667 |
86 | 1.4748 | 1.47179908692779 | 0.00300091307221506 |
87 | 1.5527 | 1.47479981485267 | 0.0779001851473333 |
88 | 1.5751 | 1.55269519379228 | 0.0224048062077151 |
89 | 1.5557 | 1.57509861769067 | -0.0193986176906735 |
90 | 1.5553 | 1.55570119683651 | -0.000401196836513851 |
91 | 1.577 | 1.55530002475264 | 0.0216999752473588 |
92 | 1.4975 | 1.57699866117663 | -0.0794986611766293 |
93 | 1.437 | 1.49750490482889 | -0.0605049048288906 |
94 | 1.3322 | 1.43700373297111 | -0.104803732971107 |
95 | 1.2732 | 1.33220646607590 | -0.0590064660759024 |
96 | 1.3449 | 1.27320364052193 | 0.0716963594780684 |
97 | 1.3239 | 1.34489557654972 | -0.0209955765497163 |
98 | 1.2785 | 1.32390129536408 | -0.0454012953640843 |
99 | 1.305 | 1.27850280112372 | 0.0264971988762845 |
100 | 1.319 | 1.30499836520232 | 0.0140016347976764 |
101 | 1.365 | 1.31899913614114 | 0.0460008638588607 |
102 | 1.4016 | 1.36499716188471 | 0.0366028381152927 |
103 | 1.4088 | 1.4015977417147 | 0.00720225828529952 |
104 | 1.4268 | 1.40879955564227 | 0.0180004443577286 |
105 | 1.4562 | 1.42679888942659 | 0.0294011105734135 |
106 | 1.4816 | 1.45619818603968 | 0.0254018139603163 |
107 | 1.4914 | 1.48159843278429 | 0.00980156721571346 |
108 | 1.4614 | 1.49139939527271 | -0.0299993952727085 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 1.46140185087269 | 1.40219697261222 | 1.52060672913316 |
110 | 1.46140185087269 | 1.37767609193199 | 1.54512760981338 |
111 | 1.46140185087269 | 1.35886021147408 | 1.56394349027129 |
112 | 1.46140185087269 | 1.34299757345455 | 1.57980612829083 |
113 | 1.46140185087269 | 1.32902225270412 | 1.59378144904125 |
114 | 1.46140185087269 | 1.31638756498461 | 1.60641613676077 |
115 | 1.46140185087269 | 1.30476875024582 | 1.61803495149956 |
116 | 1.46140185087269 | 1.29395420737674 | 1.62884949436864 |
117 | 1.46140185087269 | 1.28379695676021 | 1.63900674498517 |
118 | 1.46140185087269 | 1.27418998289135 | 1.64861371885403 |
119 | 1.46140185087269 | 1.26505249738910 | 1.65775120435627 |
120 | 1.46140185087269 | 1.25632173551827 | 1.66648196622710 |