Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.206826042522155 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 102.13 | 100.71 | 1.41999999999999 |
4 | 102.59 | 101.953692980381 | 0.636307019618542 |
5 | 103.25 | 102.545297843078 | 0.704702156921769 |
6 | 103.48 | 103.351048601351 | 0.128951398648823 |
7 | 104.03 | 103.607719108811 | 0.422280891188578 |
8 | 103.64 | 104.245057794369 | -0.605057794368676 |
9 | 103.29 | 103.729916085262 | -0.439916085262212 |
10 | 103.3 | 103.288929982306 | 0.0110700176943936 |
11 | 104.51 | 103.301219550256 | 1.20878044974403 |
12 | 104.62 | 104.761226826955 | -0.141226826954693 |
13 | 105.93 | 104.842017441238 | 1.08798255876231 |
14 | 105.2 | 106.3770405682 | -1.17704056819963 |
15 | 106 | 105.403597925591 | 0.596402074409127 |
16 | 108.05 | 106.326949406393 | 1.72305059360708 |
17 | 109.36 | 108.733321141734 | 0.62667885826589 |
18 | 110.05 | 110.172934649922 | -0.122934649921561 |
19 | 110.23 | 110.837508562789 | -0.60750856278942 |
20 | 110.45 | 110.891859970949 | -0.441859970949366 |
21 | 110.64 | 111.020471821809 | -0.380471821808968 |
22 | 112.31 | 111.131780340613 | 1.17821965938698 |
23 | 116.13 | 113.045466849986 | 3.08453315001417 |
24 | 119.08 | 117.503428634432 | 1.57657136556834 |
25 | 120.55 | 120.779504650726 | -0.229504650725914 |
26 | 121.13 | 122.202037112076 | -1.07203711207583 |
27 | 121.16 | 122.560311918748 | -1.40031191874832 |
28 | 122.23 | 122.300690946297 | -0.0706909462969918 |
29 | 122.49 | 123.356070217632 | -0.866070217632256 |
30 | 122.94 | 123.436944341973 | -0.496944341973062 |
31 | 122.56 | 123.784163310369 | -1.22416331036899 |
32 | 123.3 | 123.150974457485 | 0.149025542515432 |
33 | 123.75 | 123.921796820678 | -0.171796820677741 |
34 | 123.32 | 124.336264764139 | -1.01626476413908 |
35 | 123.66 | 123.696074744817 | -0.0360747448174692 |
36 | 124.01 | 124.028613548112 | -0.0186135481118725 |
37 | 124.42 | 124.374763781619 | 0.0452362183813904 |
38 | 124.63 | 124.794119809645 | -0.164119809645101 |
39 | 125.36 | 124.970175558917 | 0.389824441083292 |
40 | 125.84 | 125.780801405344 | 0.0591985946556264 |
41 | 123.79 | 126.2730452164 | -2.48304521639987 |
42 | 125.66 | 123.709486800888 | 1.95051319911167 |
43 | 123.23 | 125.982903726748 | -2.7529037267478 |
44 | 123.44 | 122.9835315435 | 0.45646845649992 |
45 | 122.98 | 123.287941107894 | -0.307941107894138 |
46 | 123.34 | 122.764250867219 | 0.575749132781482 |
47 | 122.85 | 123.243330781837 | -0.393330781837278 |
48 | 122.72 | 122.671979732828 | 0.0480202671722765 |
49 | 123.18 | 122.551911574648 | 0.628088425352189 |
50 | 122.7 | 123.141816618017 | -0.441816618017384 |
51 | 122.24 | 122.570437435392 | -0.330437435392341 |
52 | 121 | 122.042094368329 | -1.04209436832896 |
53 | 121.25 | 120.586562114193 | 0.663437885807141 |
54 | 120.48 | 120.973778346574 | -0.493778346573606 |
55 | 120.4 | 120.101652125269 | 0.298347874731334 |
56 | 120.7 | 120.083358235494 | 0.616641764505758 |
57 | 121.42 | 120.510895811301 | 0.90910418869916 |
58 | 121.76 | 121.41892223289 | 0.341077767110193 |
59 | 121.64 | 121.829465997654 | -0.1894659976535 |
60 | 120.52 | 121.670279495166 | -1.15027949516632 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 120.312371739387 | 118.369003186886 | 122.255740291888 |
62 | 120.104743478773 | 117.058902066149 | 123.150584891398 |
63 | 119.89711521816 | 115.795345353306 | 123.998885083014 |
64 | 119.689486957547 | 114.518230828215 | 124.860743086878 |
65 | 119.481858696933 | 113.208711003164 | 125.755006390702 |
66 | 119.27423043632 | 111.859440998548 | 126.689019874092 |
67 | 119.066602175707 | 110.467464922742 | 127.665739428672 |
68 | 118.858973915093 | 109.031783597483 | 128.686164232704 |
69 | 118.65134565448 | 107.552348545718 | 129.750342763242 |
70 | 118.443717393867 | 106.029593436661 | 130.857841351073 |
71 | 118.236089133254 | 104.464197823908 | 132.007980442599 |
72 | 118.02846087264 | 102.856961377233 | 133.199960368048 |