Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999958313321697 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 119.9 | 120.6 | -0.699999999999989 |
3 | 119.48 | 119.900029180675 | -0.420029180674817 |
4 | 117.45 | 119.480017509621 | -2.03001750962133 |
5 | 118.37 | 117.450084624687 | 0.919915375313124 |
6 | 117.07 | 118.369961651784 | -1.29996165178369 |
7 | 114.98 | 117.070054191083 | -2.09005419108317 |
8 | 112.59 | 114.980087127417 | -2.39008712741671 |
9 | 111.7 | 112.590099634793 | -0.890099634793202 |
10 | 112.04 | 111.700037105297 | 0.339962894702865 |
11 | 110.79 | 112.039985828076 | -1.24998582807618 |
12 | 109.82 | 110.790052107757 | -0.970052107757112 |
13 | 109.11 | 109.82004043825 | -0.710040438250147 |
14 | 109.84 | 109.110029599227 | 0.729970400772672 |
15 | 109.31 | 109.839969569959 | -0.529969569958737 |
16 | 108.29 | 109.310022092671 | -1.02002209267097 |
17 | 107.42 | 108.290042521333 | -0.870042521332849 |
18 | 106.71 | 107.420036269183 | -0.710036269182709 |
19 | 105.11 | 106.710029599054 | -1.60002959905353 |
20 | 104.43 | 105.110066699919 | -0.680066699919166 |
21 | 105.55 | 104.430028349722 | 1.11997165027825 |
22 | 106.12 | 105.549953312102 | 0.5700466878979 |
23 | 105.78 | 106.119976236647 | -0.339976236647104 |
24 | 105.33 | 105.78001417248 | -0.45001417248001 |
25 | 104.63 | 105.330018759596 | -0.700018759596048 |
26 | 104.62 | 104.630029181457 | -0.0100291814568294 |
27 | 105.57 | 104.620000418083 | 0.949999581916728 |
28 | 107.5 | 105.569960397673 | 1.93003960232697 |
29 | 107.52 | 107.49991954306 | 0.0200804569400077 |
30 | 107.76 | 107.519999162912 | 0.240000837087564 |
31 | 106.74 | 107.759989995162 | -1.01998999516232 |
32 | 106.21 | 106.740042519995 | -0.530042519994808 |
33 | 105.77 | 106.210022095712 | -0.44002209571201 |
34 | 105.27 | 105.77001834306 | -0.500018343059551 |
35 | 104.35 | 105.270020844104 | -0.920020844103817 |
36 | 103.52 | 104.350038352613 | -0.830038352612959 |
37 | 102.28 | 103.520034601542 | -1.24003460154178 |
38 | 100.93 | 102.280051692924 | -1.35005169292351 |
39 | 101.04 | 100.930056279171 | 0.109943720829378 |
40 | 99.95 | 101.039995416811 | -1.08999541681148 |
41 | 99.55 | 99.9500454382883 | -0.400045438288302 |
42 | 99.56 | 99.5500166765655 | 0.00998332343451125 |
43 | 99.01 | 99.5599995838284 | -0.549999583828409 |
44 | 98.64 | 99.0100229276557 | -0.370022927655725 |
45 | 98.98 | 98.6400154250267 | 0.339984574973258 |
46 | 100.8 | 98.9799858271724 | 1.8200141728276 |
47 | 100.32 | 100.799924129655 | -0.479924129654677 |
48 | 100.72 | 100.320020006443 | 0.39997999355721 |
49 | 280.8 | 100.719983326163 | 180.080016673837 |
50 | 280.4 | 280.792493062276 | -0.39249306227623 |
51 | 280.4 | 280.400016361732 | -1.63617320367848e-05 |
52 | 280.3 | 280.400000000682 | -0.10000000068203 |
53 | 281 | 280.300004168668 | 0.699995831332103 |
54 | 280.9 | 280.999970819499 | -0.0999708194989921 |
55 | 279.7 | 280.900004167451 | -1.20000416745137 |
56 | 283.1 | 279.700050024188 | 3.39994997581232 |
57 | 290.6 | 283.099858267379 | 7.50014173262088 |
58 | 291.6 | 290.599687344004 | 1.00031265599563 |
59 | 291.7 | 291.599958300288 | 0.10004169971188 |
60 | 291.8 | 291.699995829594 | 0.10000417040618 |
61 | 291.7 | 291.799995831158 | -0.0999958311583669 |
62 | 291.5 | 291.700004168494 | -0.200004168494047 |
63 | 291.7 | 291.500008337509 | 0.199991662490561 |
64 | 293.4 | 291.699991663012 | 1.70000833698811 |
65 | 293.1 | 293.399929132299 | -0.299929132299326 |
66 | 293.1 | 293.100012503049 | -1.25030492768019e-05 |
67 | 292.6 | 293.100000000521 | -0.500000000521197 |
68 | 292.1 | 292.600020843339 | -0.5000208433392 |
69 | 292.2 | 292.100020844208 | 0.0999791557919139 |
70 | 292 | 292.199995832201 | -0.199995832201068 |
71 | 292.1 | 292.000008337162 | 0.0999916628380788 |
72 | 293.4 | 292.09999583168 | 1.30000416832024 |
73 | 292.2 | 293.399945807144 | -1.19994580714445 |
74 | 292.1 | 292.200050021755 | -0.100050021754782 |
75 | 291.6 | 292.100004170753 | -0.500004170753073 |
76 | 290.9 | 291.600020843513 | -0.700020843513073 |
77 | 290.9 | 290.900029181544 | -2.91815437094556e-05 |
78 | 290.8 | 290.900000001216 | -0.100000001216472 |
79 | 290.5 | 290.800004168668 | -0.300004168667897 |
80 | 290 | 290.500012506177 | -0.500012506177256 |
81 | 290.2 | 290.000020843861 | 0.199979156139477 |
82 | 290.1 | 290.199991663533 | -0.099991663533217 |
83 | 291 | 290.10000416832 | 0.899995831679689 |
84 | 291.8 | 290.999962482163 | 0.800037517836699 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 291.799966649093 | 252.959205230573 | 330.640728067614 |
86 | 291.799966649093 | 236.871979972711 | 346.727953325476 |
87 | 291.799966649093 | 224.527664079081 | 359.072269219105 |
88 | 291.799966649093 | 214.120872512887 | 369.4790607853 |
89 | 291.799966649093 | 204.952280217202 | 378.647653080985 |
90 | 291.799966649093 | 196.663225001492 | 386.936708296695 |
91 | 291.799966649093 | 189.04064306202 | 394.559290236167 |
92 | 291.799966649093 | 181.94571066953 | 401.654222628657 |
93 | 291.799966649093 | 175.282000096403 | 408.317933201783 |
94 | 291.799966649093 | 168.979302661618 | 414.620630636568 |
95 | 291.799966649093 | 162.984616340698 | 420.615316957489 |
96 | 291.799966649093 | 157.256763744506 | 426.343169553681 |