Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.531830804972702 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 109.73 | 106.68 | 3.05 |
3 | 108.06 | 108.302083955167 | -0.242083955166748 |
4 | 111.33 | 108.173336250419 | 3.15666374958056 |
5 | 105.66 | 109.852147273387 | -4.19214727338702 |
6 | 103.65 | 107.622634214417 | -3.97263421441748 |
7 | 100.34 | 105.509864962302 | -5.16986496230174 |
8 | 100.56 | 102.760371517801 | -2.20037151780065 |
9 | 102.67 | 101.59014616225 | 1.07985383775028 |
10 | 101.5 | 102.164445698033 | -0.664445698033319 |
11 | 102.35 | 101.811073007588 | 0.538926992412385 |
12 | 104.98 | 102.097690983784 | 2.8823090162162 |
13 | 106.31 | 103.630591708058 | 2.67940829194185 |
14 | 103.73 | 105.055583576812 | -1.32558357681211 |
15 | 106.62 | 104.350597396098 | 2.26940260390246 |
16 | 108.54 | 105.557535609738 | 2.98246439026187 |
17 | 105.12 | 107.143702047214 | -2.02370204721352 |
18 | 105.29 | 106.067434958419 | -0.77743495841905 |
19 | 104.62 | 105.653971098669 | -1.03397109866913 |
20 | 104.34 | 105.104073416945 | -0.764073416945422 |
21 | 108.23 | 104.697715636553 | 3.53228436344691 |
22 | 107.6 | 106.576293272958 | 1.02370672704244 |
23 | 106.87 | 107.120732045657 | -0.250732045656505 |
24 | 107.96 | 106.987385019983 | 0.97261498001744 |
25 | 108.34 | 107.504651627734 | 0.835348372266267 |
26 | 109.04 | 107.948915624989 | 1.09108437501126 |
27 | 106.95 | 108.529187906444 | -1.57918790644412 |
28 | 105.59 | 107.689327130957 | -2.09932713095678 |
29 | 108.08 | 106.572840292999 | 1.50715970700099 |
30 | 108.48 | 107.374394253196 | 1.10560574680424 |
31 | 106.84 | 107.962389447501 | -1.12238944750111 |
32 | 105.6 | 107.365468164144 | -1.76546816414374 |
33 | 106.9 | 106.426537809253 | 0.473462190746517 |
34 | 106.84 | 106.678339587282 | 0.161660412717652 |
35 | 106.81 | 106.76431557471 | 0.0456844252898065 |
36 | 106.98 | 106.788611959387 | 0.191388040613219 |
37 | 107.53 | 106.890398015088 | 0.639601984911735 |
38 | 107.37 | 107.230558053586 | 0.139441946413996 |
39 | 106.98 | 107.304717576194 | -0.324717576194317 |
40 | 108.94 | 107.132022766258 | 1.80797723374188 |
41 | 106.38 | 108.093560753851 | -1.71356075385138 |
42 | 109.02 | 107.182236358761 | 1.83776364123904 |
43 | 106.53 | 108.159615675431 | -1.62961567543068 |
44 | 105.02 | 107.29293585897 | -2.27293585897026 |
45 | 109.7 | 106.084118551443 | 3.61588144855722 |
46 | 108.39 | 108.007155692915 | 0.382844307085165 |
47 | 110.18 | 108.210764088931 | 1.96923591106885 |
48 | 109.54 | 109.258064408696 | 0.281935591303949 |
49 | 109.1 | 109.40800644117 | -0.308006441169695 |
50 | 110.85 | 109.244199127626 | 1.60580087237436 |
51 | 112.23 | 110.098213498206 | 2.13178650179364 |
52 | 110.58 | 111.231963229485 | -0.651963229485219 |
53 | 110.77 | 110.885229100335 | -0.115229100335497 |
54 | 108.08 | 110.823946715148 | -2.74394671514779 |
55 | 108.05 | 109.364631324829 | -1.31463132482854 |
56 | 108.87 | 108.665469889103 | 0.204530110897366 |
57 | 109.61 | 108.774245302622 | 0.835754697377652 |
58 | 111.27 | 109.218725396088 | 2.05127460391158 |
59 | 107.61 | 110.309656419907 | -2.69965641990677 |
60 | 110.98 | 108.873895972958 | 2.10610402704198 |
61 | 106.63 | 109.993986973016 | -3.36398697301601 |
62 | 106.83 | 108.204915073239 | -1.37491507323922 |
63 | 108.77 | 107.473692883069 | 1.29630711693069 |
64 | 106.12 | 108.163108940558 | -2.0431089405584 |
65 | 106.8 | 107.076520668054 | -0.276520668054303 |
66 | 106.34 | 106.929458458571 | -0.589458458571386 |
67 | 105.16 | 106.615966292051 | -1.4559662920514 |
68 | 107.97 | 105.841638566937 | 2.12836143306342 |
69 | 106.76 | 106.973566741156 | -0.213566741155546 |
70 | 108.78 | 106.859985369291 | 1.92001463070861 |
71 | 105.58 | 107.881108295901 | -2.30110829590052 |
72 | 109.22 | 106.657308018562 | 2.56269198143762 |
73 | 105.67 | 108.020226557947 | -2.35022655794744 |
74 | 109.04 | 106.770303675766 | 2.26969632423398 |
75 | 106.59 | 107.977398098927 | -1.38739809892697 |
76 | 109.66 | 107.239537051157 | 2.42046294884295 |
77 | 108.05 | 108.526813809647 | -0.476813809646799 |
78 | 109.91 | 108.27322953744 | 1.63677046255975 |
79 | 107.63 | 109.143714490099 | -1.51371449009895 |
80 | 107.15 | 108.338674494331 | -1.18867449433077 |
81 | 103.8 | 107.70650078116 | -3.90650078116033 |
82 | 103.43 | 105.628903326089 | -2.19890332608934 |
83 | 103.59 | 104.459458800118 | -0.869458800118096 |
84 | 107.63 | 103.997053826561 | 3.63294617343931 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 105.929166514403 | 102.02840011351 | 109.829932915297 |
86 | 105.929166514403 | 101.51105302343 | 110.347280005377 |
87 | 105.929166514403 | 101.048236774702 | 110.810096254105 |
88 | 105.929166514403 | 100.62565603278 | 111.232676996027 |
89 | 105.929166514403 | 100.234346786486 | 111.62398624232 |
90 | 105.929166514403 | 99.8682490889425 | 111.990083939864 |
91 | 105.929166514403 | 99.5230391083148 | 112.335293920492 |
92 | 105.929166514403 | 99.1955035700749 | 112.662829458732 |
93 | 105.929166514403 | 98.8831772330742 | 112.975155795733 |
94 | 105.929166514403 | 98.58411966245 | 113.274213366357 |
95 | 105.929166514403 | 98.2967709820575 | 113.561562046749 |
96 | 105.929166514403 | 98.0198549219222 | 113.838478106885 |