Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.310566161589671 |
beta | 0.923250739700174 |
gamma | 0.896712472112486 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 226.33 | 228.542465277778 | -2.21246527777777 |
14 | 226.22 | 227.174433198827 | -0.954433198826905 |
15 | 224.84 | 224.655938264256 | 0.184061735743569 |
16 | 221.88 | 220.973380767023 | 0.906619232976936 |
17 | 222.37 | 221.231430508379 | 1.1385694916211 |
18 | 221.8 | 220.834228680738 | 0.965771319261677 |
19 | 221.8 | 222.074444288424 | -0.274444288424178 |
20 | 221.8 | 221.732882697481 | 0.0671173025192218 |
21 | 221.9 | 221.48539315236 | 0.414606847640414 |
22 | 220.2 | 220.152619171319 | 0.0473808286808719 |
23 | 219.95 | 219.866049407581 | 0.0839505924187733 |
24 | 220.05 | 220.3919914985 | -0.341991498500306 |
25 | 220.05 | 218.983958723122 | 1.06604127687808 |
26 | 220.05 | 220.35900758398 | -0.30900758398019 |
27 | 220.62 | 219.87701019592 | 0.742989804079883 |
28 | 221.53 | 218.107206250616 | 3.42279374938417 |
29 | 221.61 | 221.304022751772 | 0.305977248227947 |
30 | 221.5 | 222.316619344038 | -0.816619344037747 |
31 | 221.5 | 223.500689472913 | -2.00068947291305 |
32 | 221.87 | 223.603344753279 | -1.73334475327857 |
33 | 222.27 | 223.264440359092 | -0.994440359091755 |
34 | 220.86 | 221.115940754064 | -0.255940754063744 |
35 | 221.49 | 220.519711011055 | 0.970288988944816 |
36 | 221.67 | 221.073665560509 | 0.596334439490846 |
37 | 221.67 | 221.1126445564 | 0.557355443599846 |
38 | 221.72 | 221.618888941675 | 0.101111058325131 |
39 | 221.67 | 222.171488205283 | -0.501488205282612 |
40 | 220.29 | 221.571938408762 | -1.28193840876204 |
41 | 220.75 | 219.931771870835 | 0.818228129165249 |
42 | 219.59 | 219.107356193817 | 0.482643806182693 |
43 | 219.59 | 219.033367314805 | 0.556632685195382 |
44 | 219.59 | 219.899235627487 | -0.309235627486885 |
45 | 219.82 | 220.671471549163 | -0.851471549163392 |
46 | 221.59 | 219.276976688852 | 2.31302331114773 |
47 | 220.9 | 221.2263103563 | -0.326310356299587 |
48 | 221.01 | 221.764268418167 | -0.754268418166902 |
49 | 221.01 | 221.590310213773 | -0.580310213773373 |
50 | 219.69 | 221.365581669637 | -1.67558166963667 |
51 | 221 | 220.388835847726 | 0.611164152274341 |
52 | 219.82 | 219.36635337118 | 0.453646628819513 |
53 | 218.04 | 219.775227201818 | -1.73522720181825 |
54 | 217.97 | 217.429828273406 | 0.540171726594394 |
55 | 217.97 | 216.915442146318 | 1.05455785368153 |
56 | 217.53 | 217.0394137969 | 0.490586203100065 |
57 | 217 | 217.592922494082 | -0.592922494081904 |
58 | 217.18 | 218.177322925281 | -0.997322925281338 |
59 | 217.68 | 216.459931112049 | 1.22006888795107 |
60 | 217.71 | 216.650017581333 | 1.05998241866664 |
61 | 217.71 | 217.103699609104 | 0.606300390896308 |
62 | 218.5 | 216.867256720298 | 1.63274327970214 |
63 | 218.8 | 219.577170681251 | -0.777170681250595 |
64 | 218.94 | 218.873544460239 | 0.0664555397613071 |
65 | 220 | 218.545343383221 | 1.45465661677861 |
66 | 219.89 | 220.248344968925 | -0.35834496892474 |
67 | 219.89 | 221.166308175194 | -1.27630817519389 |
68 | 220.08 | 220.942793112076 | -0.862793112076076 |
69 | 220.16 | 220.743144117492 | -0.58314411749177 |
70 | 221 | 221.420382242491 | -0.420382242490831 |
71 | 222.16 | 221.758250681378 | 0.40174931862154 |
72 | 221.5 | 221.865825705653 | -0.365825705653293 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 221.45800051357 | 219.407966824507 | 223.508034202633 |
74 | 221.355765629563 | 218.9678827028 | 223.743648556326 |
75 | 221.28851396317 | 218.290787731975 | 224.286240194366 |
76 | 220.790414703959 | 216.95025774649 | 224.630571661427 |
77 | 220.723353208498 | 215.857723973736 | 225.588982443261 |
78 | 219.860211702305 | 213.821998058384 | 225.898425346226 |
79 | 219.431171307063 | 212.0966728094 | 226.765669804727 |
80 | 219.334849071735 | 210.595860873216 | 228.073837270253 |
81 | 219.298598960455 | 209.057690902556 | 229.539507018355 |
82 | 220.147329208932 | 208.314968842648 | 231.979689575217 |
83 | 221.134315938348 | 207.627036013376 | 234.641595863319 |
84 | 220.537694612224 | 205.276868634316 | 235.798520590131 |