Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.200675449151377 |
beta | 0.0641812341628278 |
gamma | 0.793209546372447 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 14.8 | 14.7522708857122 | 0.0477291142878205 |
14 | 14.7 | 14.6802261467442 | 0.0197738532557867 |
15 | 16 | 15.9850463960228 | 0.0149536039771938 |
16 | 15.4 | 15.3822985784913 | 0.0177014215086970 |
17 | 15 | 15.0053857569075 | -0.00538575690746335 |
18 | 15.5 | 15.4640104719269 | 0.035989528073074 |
19 | 15.1 | 15.0920721822465 | 0.00792781775353646 |
20 | 11.7 | 12.1474515255814 | -0.447451525581389 |
21 | 16.3 | 15.7184899924494 | 0.581510007550612 |
22 | 16.7 | 16.9362623346833 | -0.236262334683264 |
23 | 15 | 15.1112839739173 | -0.111283973917345 |
24 | 14.9 | 13.6965351282336 | 1.20346487176636 |
25 | 14.6 | 15.0868015630430 | -0.486801563042963 |
26 | 15.3 | 14.8958255923466 | 0.40417440765343 |
27 | 17.9 | 16.3128502629540 | 1.58714973704605 |
28 | 16.4 | 16.0356175554230 | 0.364382444577032 |
29 | 15.4 | 15.7310352789970 | -0.331035278996975 |
30 | 17.9 | 16.2045205816340 | 1.69547941836603 |
31 | 15.9 | 16.1731589235234 | -0.273158923523402 |
32 | 13.9 | 12.7008840273437 | 1.19911597265633 |
33 | 17.8 | 17.7609591497637 | 0.0390408502363222 |
34 | 17.9 | 18.4833715355693 | -0.583371535569281 |
35 | 17.4 | 16.5674225025693 | 0.83257749743074 |
36 | 16.7 | 16.1710413704697 | 0.528958629530273 |
37 | 16 | 16.4232263059147 | -0.423226305914714 |
38 | 16.6 | 16.9278212185080 | -0.327821218507950 |
39 | 19.1 | 19.2134443381708 | -0.113444338170758 |
40 | 17.8 | 17.7337713071873 | 0.0662286928127145 |
41 | 17.2 | 16.8870152835738 | 0.312984716426204 |
42 | 18.6 | 18.9695030778725 | -0.369503077872515 |
43 | 16.3 | 17.1702752957141 | -0.870275295714109 |
44 | 15.1 | 14.3375404840713 | 0.76245951592867 |
45 | 19.2 | 18.8063545969414 | 0.393645403058638 |
46 | 17.7 | 19.2234752859687 | -1.52347528596867 |
47 | 19.1 | 17.9555079955097 | 1.14449200449032 |
48 | 18 | 17.3802961189366 | 0.619703881063401 |
49 | 17.5 | 17.0155417662349 | 0.484458233765114 |
50 | 17.8 | 17.8099268127378 | -0.00992681273780605 |
51 | 21.1 | 20.4787146422039 | 0.62128535779609 |
52 | 17.2 | 19.1746546782697 | -1.97465467826973 |
53 | 19.4 | 18.0291384388512 | 1.37086156114875 |
54 | 19.8 | 20.0044238261271 | -0.204423826127147 |
55 | 17.6 | 17.7805499364049 | -0.180549936404915 |
56 | 16.2 | 16.0028708689642 | 0.19712913103578 |
57 | 19.5 | 20.4239154419124 | -0.923915441912413 |
58 | 19.9 | 19.2875439002934 | 0.612456099706606 |
59 | 20 | 20.2094019111936 | -0.209401911193577 |
60 | 17.3 | 18.9532929550498 | -1.6532929550498 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 17.9968834836137 | 16.7529907309122 | 19.2407762363153 |
62 | 18.3621353350573 | 17.0768431769995 | 19.6474274931151 |
63 | 21.4913322039795 | 20.1329465365224 | 22.8497178714365 |
64 | 18.2804093998252 | 16.9166256955926 | 19.6441931040579 |
65 | 19.6826641079580 | 18.2454356473358 | 21.1198925685803 |
66 | 20.3686555314312 | 18.8624573517804 | 21.8748537110819 |
67 | 18.1146562375762 | 16.6127928074393 | 19.616519667713 |
68 | 16.5480518665198 | 15.0378600490335 | 18.0582436840061 |
69 | 20.2687875226145 | 18.5645993282179 | 21.9729757170111 |
70 | 20.2704482776843 | 18.5005152802054 | 22.0403812751631 |
71 | 20.5271288110774 | 18.6766869185590 | 22.3775707035958 |
72 | 18.3039957835319 | -0.150002957186345 | 36.7579945242501 |