Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0.468873000282372 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 0.8766 | 0.853247676282052 | 0.0233523237179483 |
14 | 0.9188 | 0.910075422494172 | 0.00872457750582767 |
15 | 0.9838 | 0.970621255827506 | 0.0131787441724941 |
16 | 0.9994 | 0.985746255827506 | 0.0136537441724943 |
17 | 1.0731 | 1.05922958916084 | 0.013870410839161 |
18 | 1.1372 | 1.12042542249417 | 0.0167745775058277 |
19 | 1.1248 | 1.05716292249417 | 0.0676370775058277 |
20 | 1.189 | 1.11765042249417 | 0.0713495775058277 |
21 | 1.2497 | 1.26614208916084 | -0.0164420891608392 |
22 | 1.2046 | 1.21709625582751 | -0.0124962558275059 |
23 | 1.222 | 1.23418792249417 | -0.0121879224941721 |
24 | 1.2977 | 1.22927958916084 | 0.0684204108391611 |
25 | 1.3113 | 1.27453792249417 | 0.0367620775058271 |
26 | 1.2594 | 1.34477542249417 | -0.0853754224941718 |
27 | 1.2199 | 1.31122125582751 | -0.0913212558275061 |
28 | 1.1884 | 1.22184625582751 | -0.0334462558275055 |
29 | 1.2023 | 1.24822958916084 | -0.0459295891608391 |
30 | 1.2582 | 1.24962542249417 | 0.00857457750582769 |
31 | 1.2743 | 1.17816292249417 | 0.0961370775058277 |
32 | 1.2887 | 1.26715042249417 | 0.0215495775058276 |
33 | 1.3106 | 1.36584208916084 | -0.0552420891608392 |
34 | 1.3481 | 1.27799625582751 | 0.0701037441724943 |
35 | 1.3738 | 1.37768792249417 | -0.00388792249417236 |
36 | 1.4486 | 1.38107958916084 | 0.0675204108391612 |
37 | 1.4976 | 1.42543792249417 | 0.0721620775058271 |
38 | 1.5622 | 1.53107542249417 | 0.031124577505828 |
39 | 1.505 | 1.61402125582751 | -0.109021255827506 |
40 | 1.318 | 1.50694625582751 | -0.188946255827505 |
41 | 1.3029 | 1.37782958916084 | -0.0749295891608392 |
42 | 1.3632 | 1.35022542249417 | 0.0129745775058276 |
43 | 1.4303 | 1.28316292249417 | 0.147137077505828 |
44 | 1.4779 | 1.42315042249417 | 0.0547495775058278 |
45 | 1.3829 | 1.55504208916084 | -0.172142089160839 |
46 | 1.2708 | 1.35029625582751 | -0.0794962558275059 |
47 | 1.291 | 1.30038792249417 | -0.0093879224941722 |
48 | 1.3583 | 1.29827958916084 | 0.0600204108391611 |
49 | 1.368 | 1.33513792249417 | 0.0328620775058273 |
50 | 1.4391 | 1.40147542249417 | 0.0376245775058279 |
51 | 1.4127 | 1.49092125582751 | -0.0782212558275059 |
52 | 1.3482 | 1.41464625582751 | -0.0664462558275054 |
53 | 1.3108 | 1.40802958916084 | -0.0972295891608392 |
54 | 1.2814 | 1.35812542249417 | -0.0767254224941722 |
55 | 1.2502 | 1.20136292249417 | 0.0488370775058276 |
56 | 1.2967 | 1.24305042249417 | 0.0536495775058277 |
57 | 1.3206 | 1.37384208916084 | -0.0532420891608392 |
58 | 1.3062 | 1.28799625582751 | 0.0182037441724943 |
59 | 1.3242 | 1.33578792249417 | -0.0115879224941722 |
60 | 1.361 | 1.33147958916084 | 0.0295204108391609 |
61 | 1.3696 | 1.33783792249417 | 0.0317620775058272 |
62 | 1.3711 | 1.40307542249417 | -0.031975422494172 |
63 | 1.3256 | 1.42292125582751 | -0.0973212558275061 |
64 | 1.2498 | 1.32754625582751 | -0.0777462558275053 |
65 | 1.1261 | 1.30962958916084 | -0.183529589160839 |
66 | 1.1053 | 1.17342542249417 | -0.0681254224941725 |
67 | 1.1117 | 1.02526292249417 | 0.0864370775058276 |
68 | 1.0953 | 1.10455042249417 | -0.00925042249417229 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
69 | 1.17244208916084 | 1.03284361928772 | 1.31204055903396 |
70 | 1.13983834498835 | 0.942416295607242 | 1.33726039436945 |
71 | 1.16942626748252 | 0.927634625003394 | 1.41121790996164 |
72 | 1.17670585664336 | 0.897508916897109 | 1.4559027963896 |
73 | 1.15354377913753 | 0.841392110946268 | 1.46569544732879 |
74 | 1.1870192016317 | 0.845074181569258 | 1.52896422169414 |
75 | 1.23884045745921 | 0.86949762276978 | 1.60818329214864 |
76 | 1.24078671328671 | 0.845942614524506 | 1.63563081204892 |
77 | 1.30061630244755 | 0.881820892828181 | 1.71941171206692 |
78 | 1.34794172494172 | 0.906492602268257 | 1.78939084761519 |
79 | 1.2679046474359 | 0.804908901559013 | 1.73090039331278 |
80 | 1.26075506993007 | 0.777171784971822 | 1.74433835488832 |