Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0186732471122546 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 1.3242 | 1.3149 | 0.00930000000000031 |
4 | 1.3516 | 1.33187366119814 | 0.019726338801856 |
5 | 1.3511 | 1.35964201599721 | -0.00854201599721094 |
6 | 1.3419 | 1.35898250882166 | -0.017082508821658 |
7 | 1.3716 | 1.34946352291313 | 0.0221364770868657 |
8 | 1.3622 | 1.37957688281997 | -0.0173768828199719 |
9 | 1.3896 | 1.36985239999303 | 0.0197476000069661 |
10 | 1.4227 | 1.39762115180784 | 0.0250788481921622 |
11 | 1.4684 | 1.43118945533742 | 0.037210544662579 |
12 | 1.457 | 1.47758429703309 | -0.0205842970330867 |
13 | 1.4718 | 1.46579992136796 | 0.00600007863204399 |
14 | 1.4748 | 1.48071196231895 | -0.00591196231894497 |
15 | 1.5527 | 1.48360156678565 | 0.0690984332143547 |
16 | 1.5751 | 1.56279185890413 | 0.0123081410958736 |
17 | 1.5557 | 1.5854216918643 | -0.029721691864302 |
18 | 1.5553 | 1.56546669136753 | -0.0101666913675258 |
19 | 1.577 | 1.56487684622731 | 0.0121231537726942 |
20 | 1.4975 | 1.58680322487348 | -0.0893032248734831 |
21 | 1.437 | 1.5056356436875 | -0.0686356436874993 |
22 | 1.3322 | 1.44385399335221 | -0.111653993352214 |
23 | 1.2732 | 1.33696905074328 | -0.063769050743278 |
24 | 1.3449 | 1.27677827550064 | 0.0681217244993648 |
25 | 1.3239 | 1.34975032929592 | -0.0258503292959245 |
26 | 1.2785 | 1.32826761970905 | -0.0497676197090486 |
27 | 1.305 | 1.28193829664803 | 0.0230617033519671 |
28 | 1.319 | 1.30886893353355 | 0.0101310664664465 |
29 | 1.365 | 1.32305811344119 | 0.0419418865588077 |
30 | 1.4016 | 1.36984130465326 | 0.031758695346741 |
31 | 1.4088 | 1.40703434261943 | 0.00176565738056844 |
32 | 1.4268 | 1.41426731317601 | 0.0125326868239855 |
33 | 1.4562 | 1.43250133913406 | 0.0236986608659406 |
34 | 1.4816 | 1.46234387008464 | 0.0192561299153615 |
35 | 1.4914 | 1.48810344455697 | 0.00329655544302643 |
36 | 1.4614 | 1.49796500195138 | -0.0365650019513806 |
37 | 1.4272 | 1.46728221463428 | -0.0400822146342823 |
38 | 1.3686 | 1.43233374953561 | -0.0637337495356101 |
39 | 1.3569 | 1.37254363348114 | -0.0156436334811412 |
40 | 1.3406 | 1.36055151604741 | -0.0199515160474142 |
41 | 1.2565 | 1.343878956458 | -0.0873789564579968 |
42 | 1.2209 | 1.25814730761165 | -0.0372473076116453 |
43 | 1.277 | 1.22185177943235 | 0.0551482205676528 |
44 | 1.2894 | 1.27898157578281 | 0.0104184242171921 |
45 | 1.3067 | 1.29157612159274 | 0.0151238784072638 |
46 | 1.3898 | 1.30915853351153 | 0.0806414664884694 |
47 | 1.3661 | 1.39376437154276 | -0.027664371542764 |
48 | 1.322 | 1.36954778789674 | -0.047547787896741 |
49 | 1.336 | 1.3245599163037 | 0.011440083696296 |
50 | 1.3649 | 1.33877353981355 | 0.0261264601864499 |
51 | 1.3999 | 1.36816140566078 | 0.0317385943392199 |
52 | 1.4442 | 1.40375406827587 | 0.0404459317241281 |
53 | 1.4349 | 1.44880932515364 | -0.0139093251536417 |
54 | 1.4388 | 1.43924959288788 | -0.000449592887883155 |
55 | 1.4264 | 1.44314119752879 | -0.0167411975287881 |
56 | 1.4343 | 1.43042858501038 | 0.0038714149896224 |
57 | 1.377 | 1.43840087689915 | -0.061400876899153 |
58 | 1.3706 | 1.37995432315191 | -0.00935432315190599 |
59 | 1.3556 | 1.37337964756412 | -0.0177796475641228 |
60 | 1.3179 | 1.35804764381159 | -0.0401476438115889 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1.31959795693772 | 1.24182691831587 | 1.39736899555957 |
62 | 1.32129591387544 | 1.21027941970058 | 1.4323124080503 |
63 | 1.32299387081316 | 1.18575976214825 | 1.46022797947807 |
64 | 1.32469182775088 | 1.16476006653931 | 1.48462358896245 |
65 | 1.3263897846886 | 1.1459354055292 | 1.50684416384801 |
66 | 1.32808774162632 | 1.12860274792716 | 1.52757273532549 |
67 | 1.32978569856404 | 1.11236025043603 | 1.54721114669205 |
68 | 1.33148365550176 | 1.09694860631993 | 1.5660187046836 |
69 | 1.33318161243948 | 1.08218943705604 | 1.58417378782293 |
70 | 1.3348795693772 | 1.06795412677193 | 1.60180501198248 |
71 | 1.33657752631492 | 1.05414653172857 | 1.61900852090128 |
72 | 1.33827548325264 | 1.04069269733898 | 1.63585826916631 |