Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.228398787427413 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 9.11 | 9.01 | 0.0999999999999979 |
4 | 9.13 | 9.08283987874274 | 0.0471601212572601 |
5 | 9.13 | 9.11361119325283 | 0.0163888067471696 |
6 | 9.19 | 9.11735437684127 | 0.0726456231587331 |
7 | 9.2 | 9.19394654908263 | 0.00605345091737064 |
8 | 9.23 | 9.20532914993191 | 0.0246708500680928 |
9 | 9.24 | 9.24096394217226 | -0.000963942172264254 |
10 | 9.28 | 9.25074377894897 | 0.0292562210510301 |
11 | 9.32 | 9.29742586436173 | 0.0225741356382692 |
12 | 9.32 | 9.34258176956873 | -0.0225817695687347 |
13 | 9.32 | 9.33742412078127 | -0.0174241207812713 |
14 | 9.36 | 9.33344447272284 | 0.0265555272771589 |
15 | 9.37 | 9.37950972295244 | -0.00950972295243879 |
16 | 9.38 | 9.38733771376133 | -0.00733771376132886 |
17 | 9.41 | 9.39566178883575 | 0.0143382111642456 |
18 | 9.44 | 9.42893661887955 | 0.0110633811204544 |
19 | 9.44 | 9.4614634817123 | -0.0214634817123045 |
20 | 9.44 | 9.45656124851524 | -0.0165612485152433 |
21 | 9.47 | 9.45277867943608 | 0.0172213205639231 |
22 | 9.48 | 9.48671200817078 | -0.00671200817077633 |
23 | 9.56 | 9.49517899364337 | 0.064821006356631 |
24 | 9.58 | 9.58998403289505 | -0.00998403289504779 |
25 | 9.56 | 9.60770369188818 | -0.0477036918881826 |
26 | 9.58 | 9.57680822650511 | 0.00319177349488875 |
27 | 9.7 | 9.59753722370109 | 0.102462776298912 |
28 | 9.74 | 9.7409395975642 | -0.000939597564203254 |
29 | 9.76 | 9.78072499461987 | -0.0207249946198704 |
30 | 9.78 | 9.79599143097925 | -0.0159914309792537 |
31 | 9.84 | 9.81233900753436 | 0.0276609924656377 |
32 | 9.88 | 9.87865674467255 | 0.00134325532744839 |
33 | 9.96 | 9.91896354256055 | 0.0410364574394535 |
34 | 9.97 | 10.00833621968 | -0.0383362196800352 |
35 | 9.96 | 10.0095802735906 | -0.0495802735905642 |
36 | 9.96 | 9.98825619922216 | -0.0282561992221595 |
37 | 9.96 | 9.98180251758251 | -0.0218025175825112 |
38 | 10.02 | 9.9768228490038 | 0.0431771509961987 |
39 | 10.08 | 10.0466844579359 | 0.0333155420640985 |
40 | 10.09 | 10.1142936873458 | -0.0242936873458302 |
41 | 10.12 | 10.1187450386139 | 0.00125496138609726 |
42 | 10.14 | 10.1490316702728 | -0.00903167027275309 |
43 | 10.17 | 10.166968847734 | 0.00303115226598649 |
44 | 10.22 | 10.1976611592361 | 0.0223388407639291 |
45 | 10.25 | 10.2527633233791 | -0.00276332337908869 |
46 | 10.25 | 10.28213218367 | -0.0321321836700346 |
47 | 10.26 | 10.2747932318824 | -0.014793231882404 |
48 | 10.34 | 10.2814144756583 | 0.0585855243416695 |
49 | 10.33 | 10.3747953383788 | -0.0447953383787656 |
50 | 10.3 | 10.3545641374107 | -0.0545641374106545 |
51 | 10.33 | 10.312101754589 | 0.0178982454109597 |
52 | 10.33 | 10.346189692138 | -0.0161896921379814 |
53 | 10.37 | 10.3424919860848 | 0.0275080139151562 |
54 | 10.44 | 10.3887747831076 | 0.0512252168923997 |
55 | 10.45 | 10.4704745605315 | -0.0204745605315306 |
56 | 10.45 | 10.475798195733 | -0.0257981957330209 |
57 | 10.44 | 10.4699059191098 | -0.0299059191097832 |
58 | 10.43 | 10.4530754434482 | -0.0230754434482066 |
59 | 10.4 | 10.4378050401453 | -0.037805040145285 |
60 | 10.43 | 10.3991704148175 | 0.0308295851825413 |
61 | 10.47 | 10.43621185469 | 0.0337881453099591 |
62 | 10.52 | 10.4839290261083 | 0.0360709738917411 |
63 | 10.55 | 10.5421675928065 | 0.00783240719354517 |
64 | 10.5 | 10.5739565051121 | -0.0739565051121005 |
65 | 10.44 | 10.5070649290221 | -0.067064929022127 |
66 | 10.47 | 10.4317473805546 | 0.0382526194454336 |
67 | 10.5 | 10.4704842324518 | 0.0295157675481725 |
68 | 10.54 | 10.5072255979698 | 0.0327744020301797 |
69 | 10.55 | 10.5547112316522 | -0.0047112316521698 |
70 | 10.53 | 10.5636351920555 | -0.0336351920555273 |
71 | 10.54 | 10.5359529549752 | 0.00404704502484421 |
72 | 10.54 | 10.5468772951515 | -0.00687729515149371 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 10.5453065292781 | 10.4756232735327 | 10.6149897850235 |
74 | 10.5506130585562 | 10.4402368143215 | 10.660989302791 |
75 | 10.5559195878343 | 10.4059592987969 | 10.7058798768718 |
76 | 10.5612261171124 | 10.3707585715052 | 10.7516936627197 |
77 | 10.5665326463906 | 10.3340269066256 | 10.7990383861555 |
78 | 10.5718391756687 | 10.2955462181433 | 10.848132133194 |
79 | 10.5771457049468 | 10.2552433365166 | 10.8990480733769 |
80 | 10.5824522342249 | 10.2131074913354 | 10.9517969771143 |
81 | 10.587758763503 | 10.1691567782194 | 11.0063607487866 |
82 | 10.5930652927811 | 10.1234228814096 | 11.0627077041526 |
83 | 10.5983718220592 | 10.0759435807339 | 11.1208000633846 |
84 | 10.6036783513373 | 10.0267589018319 | 11.1805978008428 |