Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.758720703032662 |
beta | 0.233067049683503 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 108.06 | 112.78 | -4.72 |
4 | 111.33 | 111.414187485559 | -0.0841874855588571 |
5 | 105.66 | 113.55077479276 | -7.89077479276023 |
6 | 103.65 | 108.368994922406 | -4.7189949224059 |
7 | 100.34 | 104.759237039706 | -4.41923703970562 |
8 | 100.56 | 100.595445627519 | -0.0354456275191097 |
9 | 102.67 | 99.7514595681226 | 2.91854043187742 |
10 | 101.5 | 101.664817552654 | -0.164817552653986 |
11 | 102.35 | 101.209622850829 | 1.14037714917065 |
12 | 104.98 | 101.94636247031 | 3.03363752968997 |
13 | 106.31 | 104.65600454251 | 1.65399545749041 |
14 | 103.73 | 106.611364252728 | -2.88136425272782 |
15 | 106.62 | 104.616132958605 | 2.00386704139484 |
16 | 108.54 | 106.681777197757 | 1.85822280224309 |
17 | 105.12 | 108.965512870707 | -3.84551287070745 |
18 | 105.29 | 106.241693411792 | -0.951693411792334 |
19 | 104.62 | 105.545184080453 | -0.925184080453093 |
20 | 104.34 | 104.705185040058 | -0.365185040057924 |
21 | 108.23 | 104.225492173675 | 4.00450782632498 |
22 | 107.6 | 107.769304065601 | -0.169304065601409 |
23 | 106.87 | 108.1164199533 | -1.24641995330045 |
24 | 107.96 | 107.425897792367 | 0.534102207633239 |
25 | 108.34 | 108.180741443755 | 0.159258556244907 |
26 | 109.04 | 108.679345592189 | 0.360654407811055 |
27 | 106.95 | 109.394528469958 | -2.44452846995802 |
28 | 105.59 | 107.549088218841 | -1.95908821884095 |
29 | 108.08 | 105.725530489396 | 2.35446951060436 |
30 | 108.48 | 107.591105739169 | 0.888894260831378 |
31 | 106.84 | 108.501904362391 | -1.66190436239073 |
32 | 105.6 | 107.183480066171 | -1.58348006617052 |
33 | 106.9 | 105.644546699935 | 1.25545330006473 |
34 | 106.84 | 106.481576170227 | 0.358423829773329 |
35 | 106.81 | 106.701391898074 | 0.108608101925995 |
36 | 106.98 | 106.750872735569 | 0.22912726443063 |
37 | 107.53 | 106.93231117153 | 0.597688828469941 |
38 | 107.37 | 107.49907588302 | -0.129075883020022 |
39 | 106.98 | 107.491604312406 | -0.511604312405552 |
40 | 108.94 | 107.103432082017 | 1.83656791798298 |
41 | 106.38 | 108.821632176705 | -2.44163217670508 |
42 | 109.02 | 106.86211264374 | 2.15788735625964 |
43 | 106.53 | 108.773929058646 | -2.24392905864555 |
44 | 105.02 | 106.949195979619 | -1.92919597961932 |
45 | 109.7 | 105.022112284877 | 4.67788771512268 |
46 | 108.39 | 108.935163739061 | -0.545163739060655 |
47 | 110.18 | 108.788975093809 | 1.39102490619096 |
48 | 109.54 | 110.357791681861 | -0.817791681861323 |
49 | 109.1 | 110.106121005879 | -1.00612100587935 |
50 | 110.85 | 109.533645782404 | 1.31635421759556 |
51 | 112.23 | 110.956055189807 | 1.27394481019279 |
52 | 110.58 | 112.571562924278 | -1.99156292427823 |
53 | 110.77 | 111.357288694802 | -0.587288694801728 |
54 | 108.08 | 111.104614494127 | -3.02461449412688 |
55 | 108.05 | 108.467839712286 | -0.417839712286153 |
56 | 108.87 | 107.734991161056 | 1.13500883894406 |
57 | 109.61 | 108.381027740555 | 1.22897225944523 |
58 | 111.27 | 109.315678913101 | 1.9543210868988 |
59 | 107.61 | 111.146255319624 | -3.53625531962402 |
60 | 110.98 | 108.18569182014 | 2.79430817985971 |
61 | 106.63 | 110.52238323732 | -3.89238323732015 |
62 | 106.83 | 107.097442431355 | -0.26744243135488 |
63 | 108.77 | 106.375526669294 | 2.39447333070589 |
64 | 106.12 | 108.09668291915 | -1.97668291915021 |
65 | 106.8 | 106.151810059067 | 0.648189940933037 |
66 | 106.34 | 106.313103820215 | 0.0268961797846714 |
67 | 105.16 | 106.007765268783 | -0.84776526878278 |
68 | 107.97 | 104.888890265525 | 3.08110973447462 |
69 | 106.76 | 107.295775315349 | -0.535775315348616 |
70 | 108.78 | 106.863712150454 | 1.91628784954649 |
71 | 105.58 | 108.630942611881 | -3.05094261188107 |
72 | 109.22 | 106.089925773636 | 3.13007422636353 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 108.792074152838 | 104.252793474002 | 113.331354831674 |
74 | 109.119370414469 | 102.903272841253 | 115.335467987686 |
75 | 109.4466666761 | 101.438130675848 | 117.455202676353 |
76 | 109.773962937731 | 99.8550898719757 | 119.692836003487 |
77 | 110.101259199362 | 98.1567757257234 | 122.045742673001 |
78 | 110.428555460993 | 96.3471773015132 | 124.509933620473 |
79 | 110.755851722624 | 94.430526198155 | 127.081177247094 |
80 | 111.083147984255 | 92.4109106354152 | 129.755385333095 |
81 | 111.410444245886 | 90.2921482067776 | 132.528740284995 |
82 | 111.737740507517 | 88.0777568269965 | 135.397724188038 |
83 | 112.065036769148 | 85.7709636262667 | 138.35910991203 |
84 | 112.392333030779 | 83.3747275822228 | 141.409938479336 |