Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.351422671931043 |
beta | 0.0223216540472113 |
gamma | 0.707358546735873 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.47 | 1.41692574786325 | 0.0530742521367522 |
14 | 2.09 | 2.04680505577631 | 0.0431949442236936 |
15 | 1.52 | 1.49105138653179 | 0.0289486134682058 |
16 | 1.29 | 1.27760164963203 | 0.0123983503679681 |
17 | 1.52 | 1.51884969853663 | 0.0011503014633687 |
18 | 1.27 | 1.27657061805821 | -0.00657061805821479 |
19 | 1.35 | 1.21152668928054 | 0.138473310719465 |
20 | 1.29 | 1.25354071658166 | 0.0364592834183364 |
21 | 1.41 | 1.51707403401171 | -0.10707403401171 |
22 | 1.39 | 1.50265989822721 | -0.112659898227214 |
23 | 1.45 | 1.49498235443103 | -0.0449823544310277 |
24 | 1.53 | 1.60115204390103 | -0.0711520439010296 |
25 | 1.45 | 1.56816620179532 | -0.118166201795319 |
26 | 2.11 | 2.13176662250706 | -0.0217666225070583 |
27 | 1.53 | 1.54456980786051 | -0.0145698078605103 |
28 | 1.38 | 1.30581416940602 | 0.074185830593978 |
29 | 1.54 | 1.56168041218046 | -0.0216804121804599 |
30 | 1.35 | 1.30572184685109 | 0.0442781531489065 |
31 | 1.29 | 1.32337490492451 | -0.0333749049245056 |
32 | 1.33 | 1.25513267609306 | 0.0748673239069397 |
33 | 1.47 | 1.46355175467345 | 0.00644824532654709 |
34 | 1.47 | 1.48459781297776 | -0.0145978129777604 |
35 | 1.54 | 1.54132817818006 | -0.00132817818006292 |
36 | 1.59 | 1.65007311638519 | -0.0600731163851853 |
37 | 1.5 | 1.59873879211233 | -0.0987387921123322 |
38 | 2 | 2.21287185508907 | -0.212871855089073 |
39 | 1.51 | 1.55979849406988 | -0.0497984940698799 |
40 | 1.4 | 1.34708580539943 | 0.0529141946005725 |
41 | 1.62 | 1.54903273957764 | 0.0709672604223641 |
42 | 1.44 | 1.35415690693899 | 0.0858430930610068 |
43 | 1.29 | 1.34938144762011 | -0.0593814476201107 |
44 | 1.28 | 1.32004497567955 | -0.0400449756795451 |
45 | 1.4 | 1.45417680740623 | -0.0541768074062257 |
46 | 1.39 | 1.44127146363638 | -0.051271463636378 |
47 | 1.46 | 1.48792305306166 | -0.0279230530616641 |
48 | 1.49 | 1.55688389736425 | -0.066883897364254 |
49 | 1.45 | 1.48187653038407 | -0.0318765303840667 |
50 | 2.05 | 2.06412873806664 | -0.0141287380666411 |
51 | 1.59 | 1.55425530486558 | 0.0357446951344185 |
52 | 1.42 | 1.41794048132687 | 0.00205951867313292 |
53 | 1.73 | 1.60911319352895 | 0.120886806471053 |
54 | 1.39 | 1.43781143031393 | -0.047811430313929 |
55 | 1.23 | 1.31759919600926 | -0.087599196009263 |
56 | 1.37 | 1.28515423377808 | 0.0848457662219242 |
57 | 1.51 | 1.45560857636943 | 0.0543914236305716 |
58 | 1.47 | 1.48195754811964 | -0.0119575481196368 |
59 | 1.5 | 1.5532131110561 | -0.0532131110560976 |
60 | 1.54 | 1.59529020884309 | -0.05529020884309 |
61 | 1.54 | 1.54038671795647 | -0.000386717956473603 |
62 | 2.15 | 2.14206347641704 | 0.00793652358295605 |
63 | 1.62 | 1.66321417652018 | -0.0432141765201837 |
64 | 1.4 | 1.48346719101213 | -0.083467191012127 |
65 | 1.65 | 1.69819792140361 | -0.0481979214036128 |
66 | 1.49 | 1.38785362106377 | 0.102146378936233 |
67 | 1.45 | 1.30103507244203 | 0.148964927557968 |
68 | 1.45 | 1.43164234057848 | 0.0183576594215205 |
69 | 1.51 | 1.56504245721176 | -0.0550424572117585 |
70 | 1.48 | 1.52191902819089 | -0.0419190281908921 |
71 | 1.56 | 1.5629078375786 | -0.00290783757860047 |
72 | 1.57 | 1.6212945178372 | -0.0512945178372042 |
73 | 1.57 | 1.5925990831145 | -0.0225990831145046 |
74 | 2.28 | 2.18972961753887 | 0.0902703824611319 |
75 | 1.7 | 1.71643460174513 | -0.0164346017451269 |
76 | 1.56 | 1.52792853776657 | 0.0320714622334288 |
77 | 1.8 | 1.8006463316405 | -0.000646331640495879 |
78 | 1.56 | 1.57756365461067 | -0.0175636546106728 |
79 | 1.51 | 1.47079295266271 | 0.0392070473372903 |
80 | 1.46 | 1.50268566858473 | -0.0426856685847299 |
81 | 1.51 | 1.58025709588297 | -0.0702570958829729 |
82 | 1.55 | 1.53698585740864 | 0.0130141425913564 |
83 | 1.57 | 1.61478600443566 | -0.0447860044356634 |
84 | 1.64 | 1.63553770880075 | 0.00446229119925223 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 1.63931929698378 | 1.51427387948344 | 1.76436471448412 |
86 | 2.29606883792725 | 2.16319828260641 | 2.42893939324809 |
87 | 1.7412841832936 | 1.60070713052432 | 1.88186123606289 |
88 | 1.58012316466864 | 1.43193325056375 | 1.72831307877353 |
89 | 1.82562467919941 | 1.66989562787915 | 1.98135373051968 |
90 | 1.5940774555675 | 1.43086687859444 | 1.75728803254056 |
91 | 1.51873146315086 | 1.34808375587879 | 1.68937917042293 |
92 | 1.49817527610109 | 1.32012386658236 | 1.67622668561981 |
93 | 1.57733294058186 | 1.39190206380685 | 1.76276381735687 |
94 | 1.59674031837916 | 1.40394643567139 | 1.78953420108692 |
95 | 1.64313332626578 | 1.44298627483095 | 1.84328037770061 |
96 | 1.70225282303441 | 1.49475675716904 | 1.90974888889979 |