Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.734065025144526 |
beta | 0.0248623119871675 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 10.297 | 10.0234262820513 | 0.273573717948715 |
14 | 10.635 | 10.5944580007374 | 0.0405419992626399 |
15 | 10.872 | 10.8862941989203 | -0.0142941989202647 |
16 | 10.296 | 10.3097828515273 | -0.0137828515272513 |
17 | 10.383 | 10.4142703216996 | -0.0312703216995658 |
18 | 10.431 | 10.4799334842889 | -0.0489334842888773 |
19 | 10.574 | 10.6905710071398 | -0.116571007139800 |
20 | 10.653 | 11.1083057046558 | -0.455305704655805 |
21 | 10.805 | 10.2947441933882 | 0.510255806611832 |
22 | 10.872 | 10.9309884014872 | -0.0589884014871682 |
23 | 10.625 | 10.8301271080005 | -0.205127108000454 |
24 | 10.407 | 10.5687468179479 | -0.161746817947913 |
25 | 10.463 | 10.2426779990915 | 0.220322000908512 |
26 | 10.556 | 10.7065360984725 | -0.150536098472536 |
27 | 10.646 | 10.8339262919257 | -0.187926291925704 |
28 | 10.702 | 10.1173254080117 | 0.584674591988321 |
29 | 11.353 | 10.6546229313009 | 0.698377068699068 |
30 | 11.346 | 11.2626678447677 | 0.0833321552323198 |
31 | 11.451 | 11.5662940594310 | -0.115294059431035 |
32 | 11.964 | 11.9087923160853 | 0.0552076839147215 |
33 | 12.574 | 11.7499821562080 | 0.82401784379205 |
34 | 13.031 | 12.4941172405043 | 0.536882759495665 |
35 | 13.812 | 12.8316267938044 | 0.980373206195605 |
36 | 14.544 | 13.5134792564192 | 1.03052074358080 |
37 | 14.931 | 14.2474394583303 | 0.683560541669712 |
38 | 14.886 | 15.0443966308006 | -0.158396630800594 |
39 | 16.005 | 15.2476058645211 | 0.757394135478927 |
40 | 17.064 | 15.5391784040401 | 1.52482159595990 |
41 | 15.168 | 16.9227857935655 | -1.75478579356547 |
42 | 16.05 | 15.6476594816149 | 0.402340518385138 |
43 | 15.839 | 16.2196307866016 | -0.380630786601587 |
44 | 15.137 | 16.4948483322086 | -1.35784833220859 |
45 | 14.954 | 15.5595789516196 | -0.605578951619558 |
46 | 15.648 | 15.2082091026351 | 0.439790897364880 |
47 | 15.305 | 15.6208858919815 | -0.315885891981493 |
48 | 15.579 | 15.3693777804169 | 0.209622219583117 |
49 | 16.348 | 15.3983362907485 | 0.949663709251526 |
50 | 15.928 | 16.1614412189243 | -0.233441218924302 |
51 | 16.171 | 16.5464506210905 | -0.375450621090536 |
52 | 15.937 | 16.1831991857762 | -0.246199185776197 |
53 | 15.713 | 15.3349496795971 | 0.378050320402904 |
54 | 15.594 | 16.1783943624217 | -0.584394362421724 |
55 | 15.683 | 15.7790854577268 | -0.0960854577268098 |
56 | 16.438 | 15.9697613734201 | 0.468238626579939 |
57 | 17.032 | 16.5748003185268 | 0.45719968147316 |
58 | 17.696 | 17.300762814123 | 0.395237185877001 |
59 | 17.745 | 17.4981435803011 | 0.246856419698858 |
60 | 19.394 | 17.8281164492584 | 1.5658835507416 |
61 | 20.148 | 19.1028549478297 | 1.04514505217028 |
62 | 20.108 | 19.6765560635774 | 0.431443936422632 |
63 | 18.584 | 20.5791393119491 | -1.99513931194912 |
64 | 18.441 | 19.0990134935879 | -0.658013493587891 |
65 | 18.391 | 18.1446694041251 | 0.246330595874880 |
66 | 19.178 | 18.6632657038286 | 0.514734296171401 |
67 | 18.079 | 19.2484969907143 | -1.16949699071426 |
68 | 18.483 | 18.8295520677096 | -0.346552067709617 |
69 | 19.644 | 18.8469351525211 | 0.797064847478904 |
70 | 19.195 | 19.8254946452781 | -0.63049464527807 |
71 | 19.65 | 19.2313336001050 | 0.418666399895027 |
72 | 20.83 | 20.0422089270876 | 0.787791072912384 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 20.5971010669677 | 19.2620987933537 | 21.9321033405818 |
74 | 20.2111253821925 | 18.5405159279301 | 21.8817348364550 |
75 | 20.1145454999296 | 18.152614015613 | 22.0764769842462 |
76 | 20.4538407172898 | 18.2271535069463 | 22.6805279276334 |
77 | 20.2342976784622 | 17.7606353005207 | 22.7079600564037 |
78 | 20.650233200866 | 17.9422872464816 | 23.3581791552504 |
79 | 20.4071098193265 | 17.4743260924067 | 23.3398935462464 |
80 | 21.0842353197897 | 17.9338480242642 | 24.2346226153153 |
81 | 21.6851964077620 | 18.3228582746555 | 25.0475345408684 |
82 | 21.7095321158996 | 18.1397225301943 | 25.2793417016049 |
83 | 21.8792222713963 | 18.1055243975502 | 25.6529201452425 |
84 | 22.4953100209104 | 18.5206061983996 | 26.4700138434211 |