Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.84906856281382 |
beta | 0.0498491587900365 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 16.8 | 7.83667200854701 | 8.96332799145299 |
14 | 17.3 | 16.2260472818207 | 1.07395271817926 |
15 | 19.3 | 19.8247574588758 | -0.52475745887584 |
16 | 17.9 | 18.9688425385358 | -1.06884253853584 |
17 | 20.2 | 21.5515562764954 | -1.35155627649544 |
18 | 18.7 | 20.2036882366163 | -1.50368823661634 |
19 | 20.1 | 16.26717226233 | 3.83282773766999 |
20 | 18.2 | 22.2114500260922 | -4.01145002609219 |
21 | 18.4 | 23.4881121018159 | -5.08811210181586 |
22 | 18.2 | 21.9560914456785 | -3.75609144567855 |
23 | 18.9 | 21.5669030883845 | -2.66690308838455 |
24 | 19.9 | 21.0687993746553 | -1.16879937465535 |
25 | 21.3 | 19.4418998903097 | 1.85810010969032 |
26 | 20 | 19.9992542875565 | 0.000745712443549706 |
27 | 19.5 | 21.7915781424690 | -2.29157814246905 |
28 | 19.6 | 18.6247461028216 | 0.97525389717838 |
29 | 20.9 | 22.2582388996661 | -1.35823889966614 |
30 | 21 | 20.2393239415066 | 0.760676058493374 |
31 | 19.9 | 18.4842851323714 | 1.41571486762857 |
32 | 19.6 | 20.5434436737429 | -0.943443673742877 |
33 | 20.9 | 23.7435292379580 | -2.84352923795797 |
34 | 21.7 | 23.8943377822196 | -2.19433778221957 |
35 | 22.9 | 24.6376605656945 | -1.73766056569451 |
36 | 21.5 | 24.8360713682756 | -3.33607136827565 |
37 | 21.3 | 21.4155460594659 | -0.115546059465949 |
38 | 23.5 | 19.5229535028059 | 3.97704649719412 |
39 | 21.6 | 24.0198910841858 | -2.41989108418579 |
40 | 24.5 | 20.9061947914451 | 3.59380520855492 |
41 | 22.2 | 26.1906654527371 | -3.99066545273714 |
42 | 23.5 | 21.9248780469786 | 1.57512195302144 |
43 | 20.9 | 20.6631246049782 | 0.236875395021809 |
44 | 20.7 | 21.0183006359297 | -0.31830063592966 |
45 | 18.1 | 24.141856471537 | -6.04185647153698 |
46 | 17.1 | 21.2191425921797 | -4.11914259217973 |
47 | 14.8 | 19.8597263109514 | -5.05972631095142 |
48 | 13.8 | 16.3182427189651 | -2.51824271896511 |
49 | 15.2 | 13.4348210391605 | 1.76517896083952 |
50 | 16 | 13.1930287202173 | 2.80697127978267 |
51 | 17.6 | 15.1177042595729 | 2.48229574042712 |
52 | 15 | 16.6681543276914 | -1.66815432769143 |
53 | 15 | 15.7116090274687 | -0.71160902746871 |
54 | 16.3 | 14.5802883797487 | 1.71971162025129 |
55 | 19.4 | 12.7557085506132 | 6.64429144938676 |
56 | 21.3 | 18.2550133044083 | 3.04498669559167 |
57 | 20.5 | 23.3003051968966 | -2.8003051968966 |
58 | 21.1 | 23.4872273967029 | -2.38722739670295 |
59 | 21.6 | 23.5968049600270 | -1.99680496002697 |
60 | 22.6 | 23.3096233489486 | -0.709623348948597 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 22.9549789432559 | 17.0284448847073 | 28.8815130018044 |
62 | 21.6435884838938 | 13.7042818982677 | 29.5828950695198 |
63 | 21.2890637661194 | 11.6115312479528 | 30.966596284286 |
64 | 20.1534916777314 | 8.8789278389041 | 31.4280555165588 |
65 | 20.8763522678149 | 8.08800227740325 | 33.6647022582266 |
66 | 20.8649740335198 | 6.6151039683433 | 35.1148440986963 |
67 | 18.3995024788021 | 2.72173675733898 | 34.0772682002652 |
68 | 17.5088654534261 | 0.424710134092710 | 34.5930207727594 |
69 | 18.7524018757996 | 0.275045035106281 | 37.2297587164929 |
70 | 21.1637308317107 | 1.30041689328273 | 41.0270447701387 |
71 | 23.2446046141392 | 1.99819829590186 | 44.4910109323765 |
72 | 24.817088431995 | 2.18714847720468 | 47.4470283867853 |