Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.983881209935916 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 0.8766 | 0.8707 | 0.00590000000000002 |
4 | 0.886 | 0.876504899138622 | 0.00949510086137806 |
5 | 0.917 | 0.885846950462578 | 0.0311530495374219 |
6 | 0.9561 | 0.91649785053465 | 0.0396021494653497 |
7 | 0.9935 | 0.955461661266682 | 0.0380383387333185 |
8 | 0.9781 | 0.992886868003571 | -0.0147868680035712 |
9 | 0.9806 | 0.978338346421055 | 0.00226165357894514 |
10 | 0.9812 | 0.980563544880763 | 0.000636455119236601 |
11 | 1.0013 | 0.981189741113548 | 0.0201102588864523 |
12 | 1.0194 | 1.00097584695887 | 0.0184241530411251 |
13 | 1.0622 | 1.01910302494502 | 0.0430969750549783 |
14 | 1.0785 | 1.06150532890669 | 0.0169946710933082 |
15 | 1.0797 | 1.07822606646444 | 0.00147393353556136 |
16 | 1.0862 | 1.07967624197477 | 0.00652375802522798 |
17 | 1.1556 | 1.08609484491396 | 0.0695051550860375 |
18 | 1.1674 | 1.15447966099680 | 0.0129203390032036 |
19 | 1.1365 | 1.16719173976805 | -0.0306917397680504 |
20 | 1.1155 | 1.13699471371002 | -0.0214947137100228 |
21 | 1.1267 | 1.11584646877778 | 0.0108535312222207 |
22 | 1.1714 | 1.12652505420878 | 0.044874945791225 |
23 | 1.171 | 1.17067667016965 | 0.000323329830345997 |
24 | 1.2298 | 1.17099478831434 | 0.0588052116856568 |
25 | 1.2638 | 1.22885213113816 | 0.0349478688618352 |
26 | 1.264 | 1.26323668263863 | 0.00076331736137103 |
27 | 1.2261 | 1.2639876962477 | -0.0378876962476999 |
28 | 1.1989 | 1.22671070382183 | -0.0278107038218283 |
29 | 1.2 | 1.19934827489644 | 0.000651725103561374 |
30 | 1.2146 | 1.19998949497988 | 0.0146105050201237 |
31 | 1.2266 | 1.21436449633685 | 0.0122355036631496 |
32 | 1.2191 | 1.22640277848513 | -0.00730277848512517 |
33 | 1.2224 | 1.21921771195329 | 0.00318228804671361 |
34 | 1.2507 | 1.22234870536705 | 0.0283512946329485 |
35 | 1.2997 | 1.25024301143377 | 0.0494569885662337 |
36 | 1.3406 | 1.2989028131841 | 0.0416971868159008 |
37 | 1.3123 | 1.33992789179945 | -0.0276278917994517 |
38 | 1.3013 | 1.31274532818783 | -0.0114453281878286 |
39 | 1.3185 | 1.30148448484227 | 0.0170155151577260 |
40 | 1.2943 | 1.31822573048334 | -0.0239257304833405 |
41 | 1.2697 | 1.29468565382679 | -0.0249856538267907 |
42 | 1.2155 | 1.27010273850865 | -0.054602738508648 |
43 | 1.2041 | 1.21638013007894 | -0.0122801300789450 |
44 | 1.2295 | 1.20429794083870 | 0.0252020591612980 |
45 | 1.2234 | 1.22909377329920 | -0.0056937732991964 |
46 | 1.2022 | 1.22349177673648 | -0.0212917767364824 |
47 | 1 | 1.20254319767931 | -0.202543197679307 |
48 | 1.1861 | 1.0032647512823 | 0.182835248717699 |
49 | 1.2126 | 1.18315291700960 | 0.0294470829903952 |
50 | 1.194 | 1.21212534865128 | -0.018125348651278 |
51 | 1.2028 | 1.19429215868975 | 0.00850784131025195 |
52 | 1.2273 | 1.20266286389202 | 0.0246371361079785 |
53 | 1.2767 | 1.22690287917530 | 0.0497971208247046 |
54 | 1.2661 | 1.27589733066363 | -0.00979733066363075 |
55 | 1.2681 | 1.26625792111616 | 0.00184207888384447 |
56 | 1.281 | 1.26807030791719 | 0.0129296920828101 |
57 | 1.2722 | 1.28079158900772 | -0.00859158900772394 |
58 | 1.2617 | 1.27233848601953 | -0.0106384860195323 |
59 | 1.2888 | 1.26187147952275 | 0.0269285204772514 |
60 | 1.3205 | 1.28836594483169 | 0.0321340551683094 |
61 | 1.2993 | 1.31998203791083 | -0.0206820379108343 |
62 | 1.308 | 1.29963336942718 | 0.00836663057281806 |
63 | 1.3246 | 1.30786514003825 | 0.0167348599617470 |
64 | 1.3513 | 1.32433025430552 | 0.0269697456944753 |
65 | 1.3518 | 1.35086528033107 | 0.000934719668930883 |
66 | 1.3421 | 1.35178493344989 | -0.00968493344988763 |
67 | 1.3726 | 1.34225610940906 | 0.0303438905909366 |
68 | 1.3626 | 1.37211089319784 | -0.00951089319783716 |
69 | 1.391 | 1.36275330409078 | 0.028246695909222 |
70 | 1.4233 | 1.39054469743864 | 0.0327553025613647 |
71 | 1.4683 | 1.42277202415453 | 0.0455279758454721 |
72 | 1.4559 | 1.46756614411530 | -0.0116661441153041 |
73 | 1.4728 | 1.45608804412785 | 0.0167119558721482 |
74 | 1.4759 | 1.47253062349174 | 0.00336937650826319 |
75 | 1.552 | 1.47584568972742 | 0.0761543102725837 |
76 | 1.5754 | 1.55077248466024 | 0.0246275153397588 |
77 | 1.5554 | 1.57500303425044 | -0.0196030342504385 |
78 | 1.5562 | 1.55571597719370 | 0.000484022806298334 |
79 | 1.5759 | 1.556192198138 | 0.0197078018620009 |
80 | 1.4955 | 1.57558233407916 | -0.0800823340791619 |
81 | 1.4342 | 1.49679083033086 | -0.062590830330864 |
82 | 1.3266 | 1.43520888845404 | -0.108608888454040 |
83 | 1.2744 | 1.32835064387208 | -0.0539506438720843 |
84 | 1.3511 | 1.27526961910240 | 0.0758303808976037 |
85 | 1.3244 | 1.34987770600983 | -0.0254777060098319 |
86 | 1.2797 | 1.32481066979449 | -0.045110669794487 |
87 | 1.305 | 1.28042712941607 | 0.0245728705839323 |
88 | 1.3203 | 1.30460391505779 | 0.0156960849422143 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
89 | 1.32004699810199 | 1.23453042725961 | 1.40556356894436 |
90 | 1.32004699810199 | 1.20007903695736 | 1.44001495924662 |
91 | 1.32004699810199 | 1.17351529670683 | 1.46657869949715 |
92 | 1.32004699810199 | 1.15107727499658 | 1.4890167212074 |
93 | 1.32004699810199 | 1.13128790523788 | 1.50880609096609 |
94 | 1.32004699810199 | 1.11338489961405 | 1.52670909658993 |
95 | 1.32004699810199 | 1.09691374024023 | 1.54318025596374 |
96 | 1.32004699810199 | 1.08157754811612 | 1.55851644808785 |
97 | 1.32004699810199 | 1.06716974252308 | 1.57292425368090 |
98 | 1.32004699810199 | 1.05353971076883 | 1.58655428543515 |
99 | 1.32004699810199 | 1.04057363261926 | 1.59952036358471 |
100 | 1.32004699810199 | 1.02818300610092 | 1.61191099010306 |