Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.793304674764876 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | -15 | -15 | 0 |
3 | -10 | -15 | 5 |
4 | -12 | -11.0334766261756 | -0.966523373824378 |
5 | -11 | -11.8002241369000 | 0.80022413690002 |
6 | -11 | -11.1654025882375 | 0.165402588237546 |
7 | -17 | -11.0341879417705 | -5.96581205822951 |
8 | -18 | -15.7668945363326 | -2.23310546366737 |
9 | -19 | -17.5384275399029 | -1.46157246009706 |
10 | -22 | -18.6978998050055 | -3.30210019499446 |
11 | -24 | -21.3174713262367 | -2.68252867376335 |
12 | -24 | -23.4455338633239 | -0.554466136676062 |
13 | -20 | -23.8853944415479 | 3.88539444154788 |
14 | -25 | -20.8030928677625 | -4.19690713223752 |
15 | -22 | -24.1325189153206 | 2.13251891532055 |
16 | -17 | -22.4407816907722 | 5.44078169077224 |
17 | -9 | -18.1245841411075 | 9.12458414110748 |
18 | -11 | -10.8860088866815 | -0.113991113318532 |
19 | -13 | -10.9764385697587 | -2.02356143024129 |
20 | -11 | -12.5817393120430 | 1.58173931204302 |
21 | -9 | -11.3269381215399 | 2.32693812153991 |
22 | -7 | -9.4809672318337 | 2.4809672318337 |
23 | -3 | -7.51280432888155 | 4.51280432888155 |
24 | -3 | -3.93277555848065 | 0.93277555848065 |
25 | -6 | -3.19280034743153 | -2.80719965256847 |
26 | -4 | -5.41976495481243 | 1.41976495481243 |
27 | -8 | -4.29345877909239 | -3.70654122090761 |
28 | -1 | -7.2338752568471 | 6.23387525684711 |
29 | -2 | -2.28851287368921 | 0.288512873689207 |
30 | -2 | -2.05963426226171 | 0.059634262261711 |
31 | -1 | -2.01232612323334 | 1.01232612323334 |
32 | 1 | -1.20924307728573 | 2.20924307728573 |
33 | 2 | 0.543359783616979 | 1.45664021638302 |
34 | 2 | 1.69891927672415 | 0.301080723275850 |
35 | -1 | 1.93776802198047 | -2.93776802198047 |
36 | 1 | -0.392777083231398 | 1.39277708323140 |
37 | -1 | 0.712119487801458 | -1.71211948780146 |
38 | -8 | -0.646112905627483 | -7.35388709437252 |
39 | 1 | -6.47998591528629 | 7.47998591528629 |
40 | 2 | -0.546078121514249 | 2.54607812151425 |
41 | -2 | 1.47373755459958 | -3.47373755459958 |
42 | -2 | -1.28199468637057 | -0.718005313629425 |
43 | -2 | -1.85159165817882 | -0.148408341821181 |
44 | -2 | -1.96932468951967 | -0.0306753104803346 |
45 | -6 | -1.99365955672358 | -4.00634044327642 |
46 | -4 | -5.17190815907435 | 1.17190815907435 |
47 | -5 | -4.24222793808557 | -0.757772061914432 |
48 | -2 | -4.84337205720851 | 2.84337205720851 |
49 | -1 | -2.58771171212918 | 1.58771171212918 |
50 | -5 | -1.32817258871816 | -3.67182741128184 |
51 | -9 | -4.24105043901785 | -4.75894956098215 |
52 | -8 | -8.01634737271524 | 0.0163473727152432 |
53 | -14 | -8.00337892552012 | -5.99662107447988 |
54 | -10 | -12.7605264566986 | 2.76052645669858 |
55 | -11 | -10.5705879137875 | -0.429412086212521 |
56 | -11 | -10.9112425291804 | -0.0887574708195906 |
57 | -11 | -10.9816542457019 | -0.0183457542981031 |
58 | -5 | -10.9962080183487 | 5.99620801834867 |
59 | -2 | -6.23938816653004 | 4.23938816653004 |
60 | -3 | -2.87626171587886 | -0.123738284121136 |
61 | -6 | -2.97442387511955 | -3.02557612488045 |
62 | -6 | -5.37462755884421 | -0.625372441155792 |
63 | -7 | -5.87073843988222 | -1.12926156011778 |
64 | -6 | -6.76658691455593 | 0.766586914555932 |
65 | -2 | -6.15844993162513 | 4.15844993162513 |
66 | -2 | -2.85953216109124 | 0.859532161091237 |
67 | -4 | -2.17766127958680 | -1.82233872041320 |
68 | 0 | -3.62333110549563 | 3.62333110549563 |
69 | -6 | -0.748925601284963 | -5.25107439871504 |
70 | -4 | -4.91462746932376 | 0.91462746932376 |
71 | -3 | -4.18904922224085 | 1.18904922224085 |
72 | -1 | -3.24577091571164 | 2.24577091571164 |
73 | -3 | -1.46419034982660 | -1.53580965017340 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
74 | -2.68255532485817 | -8.9792015164491 | 3.61409086673277 |
75 | -2.68255532485817 | -10.7199283590041 | 5.35481770928781 |
76 | -2.68255532485817 | -12.1456931405067 | 6.78058249079036 |
77 | -2.68255532485817 | -13.3831435958785 | 8.01803294616215 |
78 | -2.68255532485817 | -14.4916281662728 | 9.12651751655651 |
79 | -2.68255532485817 | -15.5046383616263 | 10.13952771191 |
80 | -2.68255532485817 | -16.4432757067902 | 11.0781650570738 |
81 | -2.68255532485817 | -17.3218530353926 | 11.9567423856763 |
82 | -2.68255532485817 | -18.1506078682651 | 12.7854972185488 |
83 | -2.68255532485817 | -18.9371627182571 | 13.5720520685408 |
84 | -2.68255532485817 | -19.6873744518433 | 14.3222638021270 |
85 | -2.68255532485817 | -20.4058587858222 | 15.0407481361059 |