Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.793820470471754 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.44 | 1.39851228632479 | 0.0414877136752143 |
14 | 1.43 | 1.43071910136126 | -0.000719101361260188 |
15 | 1.43 | 1.44692128262837 | -0.0169212826283665 |
16 | 1.42 | 1.43609517407268 | -0.0160951740726831 |
17 | 1.45 | 1.450091514066 | -9.15140659998315e-05 |
18 | 1.51 | 1.50304188697509 | 0.00695811302490834 |
19 | 1.48 | 1.58117173151147 | -0.101171731511472 |
20 | 1.48 | 1.54554922531928 | -0.0655492253192784 |
21 | 1.45 | 1.56945459375196 | -0.119454593751955 |
22 | 1.38 | 1.17431877725445 | 0.205681222745549 |
23 | 1.46 | 1.25103242757621 | 0.208967572423786 |
24 | 1.45 | 1.47202151621236 | -0.0220215162123558 |
25 | 1.41 | 1.49445065512027 | -0.0844506551202728 |
26 | 1.45 | 1.41798283372196 | 0.0320171662780375 |
27 | 1.47 | 1.456831176257 | 0.0131688237429979 |
28 | 1.47 | 1.47006153677093 | -6.15367709304593e-05 |
29 | 1.53 | 1.50008533336141 | 0.0299146666385941 |
30 | 1.56 | 1.57830871555143 | -0.0183087155514321 |
31 | 1.66 | 1.61408707386554 | 0.0459129261344602 |
32 | 1.79 | 1.70256801137234 | 0.0874319886276596 |
33 | 1.78 | 1.83679881553122 | -0.0567988155312196 |
34 | 1.46 | 1.55843678805691 | -0.0984367880569113 |
35 | 1.41 | 1.39441291399506 | 0.0155870860049443 |
36 | 1.43 | 1.41426739230098 | 0.0157326076990221 |
37 | 1.43 | 1.45379491712559 | -0.023794917125586 |
38 | 1.45 | 1.44949014282011 | 0.000509857179887163 |
39 | 1.35 | 1.4594411960273 | -0.109441196027298 |
40 | 1.35 | 1.37261338345637 | -0.0226133834563682 |
41 | 1.29 | 1.39091554201702 | -0.100915542017022 |
42 | 1.29 | 1.35534055216793 | -0.0653405521679289 |
43 | 1.26 | 1.36702526368031 | -0.107025263680307 |
44 | 1.3 | 1.34266111616655 | -0.0426611161665527 |
45 | 1.3 | 1.3438839113276 | -0.0438839113276008 |
46 | 1.16 | 1.06718910159845 | 0.0928108984015503 |
47 | 1.24 | 1.07849094468675 | 0.161509055313254 |
48 | 1.15 | 1.21421127291558 | -0.0642112729155766 |
49 | 1.21 | 1.18212794234761 | 0.0278720576523876 |
50 | 1.22 | 1.22384861719984 | -0.00384861719983509 |
51 | 1.17 | 1.20767016780298 | -0.0376701678029776 |
52 | 1.13 | 1.19571778416916 | -0.0657177841691603 |
53 | 1.15 | 1.1636584848635 | -0.0136584848635002 |
54 | 1.2 | 1.20468476784605 | -0.00468476784605465 |
55 | 1.23 | 1.25592474839751 | -0.0259247483975136 |
56 | 1.25 | 1.30921041973392 | -0.0592104197339205 |
57 | 1.38 | 1.29704392362013 | 0.0829560763798733 |
58 | 1.28 | 1.14922096416646 | 0.130779035833537 |
59 | 1.26 | 1.20482684564547 | 0.0551731543545322 |
60 | 1.25 | 1.20959664786803 | 0.0404033521319735 |
61 | 1.26 | 1.27954424594743 | -0.0195442459474315 |
62 | 1.28 | 1.27708473455066 | 0.00291526544933562 |
63 | 1.31 | 1.25930228226932 | 0.0506977177306844 |
64 | 1.22 | 1.31171529075766 | -0.0917152907576557 |
65 | 1.23 | 1.26975220037923 | -0.0397522003792348 |
66 | 1.36 | 1.29191495458751 | 0.0680850454124908 |
67 | 1.54 | 1.39654185333872 | 0.143458146661281 |
68 | 1.58 | 1.57742431006439 | 0.00257568993560642 |
69 | 1.44 | 1.6436167138805 | -0.203616713880504 |
70 | 1.29 | 1.27816652251875 | 0.0118334774812503 |
71 | 1.28 | 1.22376259983311 | 0.0562374001668928 |
72 | 1.23 | 1.22633199129366 | 0.00366800870634076 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 1.25475835420363 | 1.10290851035206 | 1.40660819805519 |
74 | 1.27244415681309 | 1.07856627825899 | 1.46632203536718 |
75 | 1.26219927067227 | 1.0339036541845 | 1.49049488716004 |
76 | 1.24500474593096 | 0.986839788544361 | 1.50316970331757 |
77 | 1.2865608563383 | 1.00164086416976 | 1.57148084850684 |
78 | 1.36251355355686 | 1.05314377699132 | 1.67188333012241 |
79 | 1.4286335400812 | 1.09660957201999 | 1.76065750814241 |
80 | 1.46658890468473 | 1.11336068938758 | 1.81981711998187 |
81 | 1.48822402029326 | 1.11499429372141 | 1.86145374686511 |
82 | 1.32883036363178 | 0.936617812185763 | 1.72104291507779 |
83 | 1.27418796417319 | 0.863869865344135 | 1.68450606300224 |
84 | 1.22127622377622 | 0.793618417882796 | 1.64893402966965 |