Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.013128910350907 |
gamma | 0.132264992157619 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.86 | 1.84387452579659 | 0.01612547420341 |
14 | 1.85 | 1.85175781056145 | -0.00175781056145463 |
15 | 1.85 | 1.8525724319186 | -0.00257243191860335 |
16 | 1.85 | 1.85170174396538 | -0.00170174396538458 |
17 | 1.84 | 1.84042145179196 | -0.000421451791956295 |
18 | 1.85 | 1.84916479096343 | 0.00083520903656642 |
19 | 1.85 | 1.86354690221918 | -0.0135469022191803 |
20 | 1.83 | 1.84561240529691 | -0.0156124052969073 |
21 | 1.82 | 1.81680149812101 | 0.00319850187898796 |
22 | 1.84 | 1.81803291658777 | 0.0219670834122301 |
23 | 1.85 | 1.83953698925133 | 0.0104630107486674 |
24 | 1.88 | 1.86019162881295 | 0.0198083711870449 |
25 | 1.91 | 1.90119215815204 | 0.00880784184795891 |
26 | 1.93 | 1.90188158487584 | 0.0281184151241551 |
27 | 1.91 | 1.93339381168107 | -0.0233938116810712 |
28 | 1.9 | 1.91221357079253 | -0.0122135707925344 |
29 | 1.9 | 1.89048900406405 | 0.00951099593594629 |
30 | 1.89 | 1.90991316405091 | -0.019913164050908 |
31 | 1.88 | 1.90403629303756 | -0.0240362930375622 |
32 | 1.88 | 1.87561183101623 | 0.00438816898377259 |
33 | 1.92 | 1.86676033059646 | 0.0532396694035375 |
34 | 1.98 | 1.91886151033484 | 0.0611384896651574 |
35 | 2 | 1.98090098534542 | 0.0190990146545804 |
36 | 2 | 2.01251815522596 | -0.0125181552259583 |
37 | 2.02 | 2.02364557265227 | -0.0036455726522715 |
38 | 2.01 | 2.01235229026277 | -0.00235229026276551 |
39 | 2.05 | 2.01409235817026 | 0.0359076418297408 |
40 | 2.07 | 2.05365448984151 | 0.0163455101584908 |
41 | 2.07 | 2.06126025642911 | 0.00873974357088558 |
42 | 2.04 | 2.08240759003134 | -0.0424075900313361 |
43 | 2.05 | 2.05651382728705 | -0.0065138272870473 |
44 | 2.05 | 2.04681076079705 | 0.003189239202948 |
45 | 2.04 | 2.03712543702834 | 0.00287456297166333 |
46 | 2.03 | 2.03969215067357 | -0.00969215067356544 |
47 | 2.04 | 2.03096258796192 | 0.00903741203808472 |
48 | 2.04 | 2.05268639138257 | -0.0126863913825694 |
49 | 2.1 | 2.06403661000116 | 0.035963389998841 |
50 | 2.09 | 2.09242317772259 | -0.00242317772258893 |
51 | 2.1 | 2.09462883961116 | 0.00537116038884422 |
52 | 2.09 | 2.1037538696481 | -0.0137538696481028 |
53 | 2.08 | 2.08084466536698 | -0.000844665366980912 |
54 | 2.1 | 2.09202678354501 | 0.00797321645499238 |
55 | 2.11 | 2.11713975068791 | -0.00713975068791273 |
56 | 2.08 | 2.10685198856327 | -0.0268519885632679 |
57 | 2.09 | 2.06672721035049 | 0.0232727896495071 |
58 | 2.1 | 2.08970843878662 | 0.0102915612133834 |
59 | 2.09 | 2.10125224739732 | -0.0112522473973233 |
60 | 2.09 | 2.10301712186213 | -0.0130171218621267 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 2.11464547118766 | 2.07607604652848 | 2.15321489584684 |
62 | 2.10661941754096 | 2.05186410490725 | 2.16137473017466 |
63 | 2.11091694374218 | 2.04333551066473 | 2.17849837681963 |
64 | 2.11426146409968 | 2.03568677780314 | 2.19283615039623 |
65 | 2.10473123813655 | 2.01672681237496 | 2.19273566389815 |
66 | 2.11664157602387 | 2.01919103997989 | 2.21409211206785 |
67 | 2.13356404671598 | 2.02701682375756 | 2.2401112696744 |
68 | 2.13011147450496 | 2.01585628671892 | 2.244366662291 |
69 | 2.11656394180574 | 1.99548457743993 | 2.23764330617156 |
70 | 2.11604110412075 | 1.98774057234028 | 2.24434163590121 |
71 | 2.11695733351054 | 1.98160355497043 | 2.25231111205065 |
72 | 2.12992633349291 | -9.39757093143756 | 13.6574235984234 |