Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.919515806148139 |
beta | 0.0886193593925807 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 124.02 | 123.72 | 0.299999999999997 |
4 | 124.05 | 124.350300812352 | -0.300300812352106 |
5 | 123.99 | 124.404144956529 | -0.414144956528659 |
6 | 124.46 | 124.319560221338 | 0.140439778661516 |
7 | 124.46 | 124.756368918442 | -0.296368918441615 |
8 | 124.6 | 124.767374929374 | -0.167374929373764 |
9 | 124.84 | 124.883354087736 | -0.0433540877362901 |
10 | 124.84 | 125.109839579991 | -0.269839579990958 |
11 | 124.99 | 125.106079690927 | -0.116079690926824 |
12 | 125.02 | 125.234245475846 | -0.214245475845729 |
13 | 128.27 | 125.254688069881 | 3.01531193011948 |
14 | 128.38 | 128.490468172384 | -0.110468172384088 |
15 | 128.47 | 128.843042354989 | -0.373042354989053 |
16 | 128.52 | 128.923777360694 | -0.403777360694335 |
17 | 128.71 | 128.943348476755 | -0.233348476755111 |
18 | 128.92 | 129.100616801037 | -0.180616801036848 |
19 | 128.92 | 129.291654831116 | -0.371654831116132 |
20 | 128.82 | 129.276745372276 | -0.45674537227552 |
21 | 128.97 | 129.146375050636 | -0.176375050636153 |
22 | 129.04 | 129.259437414907 | -0.219437414906878 |
23 | 128.95 | 129.315021979524 | -0.365021979524471 |
24 | 129.39 | 129.206994725684 | 0.183005274316002 |
25 | 129.39 | 129.617799726747 | -0.227799726747122 |
26 | 129.48 | 129.632300342149 | -0.152300342149033 |
27 | 130.16 | 129.703813352035 | 0.45618664796504 |
28 | 129.89 | 130.372013003702 | -0.482013003702349 |
29 | 129.85 | 130.138245500092 | -0.28824550009179 |
30 | 129.9 | 130.05916204604 | -0.159162046039825 |
31 | 129.9 | 130.085803246302 | -0.185803246302072 |
32 | 129.57 | 130.072806910963 | -0.502806910962931 |
33 | 129.54 | 129.727348518037 | -0.187348518037425 |
34 | 129.57 | 129.656692653318 | -0.0866926533175274 |
35 | 128.97 | 129.671527131471 | -0.701527131470755 |
36 | 129.01 | 129.063846316401 | -0.0538463164006941 |
37 | 129.01 | 129.047330478635 | -0.0373304786354254 |
38 | 128.72 | 129.042959269704 | -0.322959269704398 |
39 | 128.32 | 128.749630922434 | -0.429630922433518 |
40 | 128.39 | 128.32320701167 | 0.066792988330036 |
41 | 128.33 | 128.358695487077 | -0.0286954870771297 |
42 | 128.44 | 128.304042493708 | 0.135957506291987 |
43 | 128.44 | 128.411869286221 | 0.0281307137791202 |
44 | 128.6 | 128.4228399234 | 0.177160076599819 |
45 | 128.3 | 128.585281641019 | -0.285281641018969 |
46 | 128.56 | 128.299254172829 | 0.260745827171291 |
47 | 128.01 | 128.536554961816 | -0.526554961815776 |
48 | 128.01 | 128.007012898727 | 0.00298710127268009 |
49 | 128.01 | 127.964636542297 | 0.045363457703246 |
50 | 128.26 | 127.964922443029 | 0.295077556970682 |
51 | 128.38 | 128.218869360933 | 0.16113063906721 |
52 | 128.36 | 128.362780007184 | -0.00278000718444105 |
53 | 128.48 | 128.35574568924 | 0.124254310760335 |
54 | 128.46 | 128.475646533374 | -0.0156465333740812 |
55 | 128.46 | 128.465631352507 | -0.0056313525065832 |
56 | 129.56 | 128.46436640728 | 1.09563359271993 |
57 | 129.66 | 129.565011772807 | 0.0949882271931415 |
58 | 129.47 | 129.753288204714 | -0.283288204714069 |
59 | 129.41 | 129.570649200301 | -0.160649200301179 |
60 | 129.48 | 129.487687893304 | -0.00768789330433606 |
61 | 129.48 | 129.544750463214 | -0.064750463214267 |
62 | 130.17 | 129.544066783522 | 0.625933216477875 |
63 | 129.77 | 130.229483022832 | -0.459483022832416 |
64 | 129.87 | 129.879400025936 | -0.00940002593628719 |
65 | 129.97 | 129.942409479775 | 0.0275905202246918 |
66 | 130.05 | 130.041680591497 | 0.00831940850341084 |
67 | 130.05 | 130.123909534211 | -0.0739095342109408 |
68 | 129.89 | 130.124505005428 | -0.234505005428275 |
69 | 130.33 | 129.958321316142 | 0.371678683858249 |
70 | 130.6 | 130.379820054956 | 0.220179945043924 |
71 | 131.46 | 130.679955090355 | 0.780044909644545 |
72 | 131.73 | 131.558458252881 | 0.171541747118596 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 131.891411544857 | 130.953007950397 | 132.829815139318 |
74 | 132.066629488943 | 130.738860883637 | 133.394398094249 |
75 | 132.241847433029 | 130.570068807095 | 133.913626058963 |
76 | 132.417065377115 | 130.420087958887 | 134.414042795344 |
77 | 132.592283321201 | 130.278436057068 | 134.906130585334 |
78 | 132.767501265287 | 130.139869361702 | 135.395133168872 |
79 | 132.942719209373 | 130.00141096744 | 135.884027451306 |
80 | 133.117937153459 | 129.861233603878 | 136.374640703039 |
81 | 133.293155097545 | 129.718156423944 | 136.868153771146 |
82 | 133.468373041631 | 129.57138942845 | 137.365356654811 |
83 | 133.643590985717 | 129.420391973897 | 137.866789997537 |
84 | 133.818808929803 | 129.264789173531 | 138.372828686075 |