Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0906896726281195 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 84.4 | 84.7 | -0.299999999999983 |
4 | 80.4 | 83.2727930982116 | -2.87279309821156 |
5 | 84.4 | 79.0122604326064 | 5.38773956739357 |
6 | 90.7 | 83.5008727701789 | 7.19912722982107 |
7 | 91.6 | 90.4537592618596 | 1.14624073814042 |
8 | 91.9 | 91.4577114591545 | 0.442288540845468 |
9 | 92.5 | 91.797822462131 | 0.702177537869005 |
10 | 92.5 | 92.4615027131671 | 0.0384972868328504 |
11 | 92 | 92.4649940195071 | -0.464994019507088 |
12 | 92 | 91.922823864104 | 0.077176135896039 |
13 | 94.5 | 91.9298229426031 | 2.57017705739693 |
14 | 95.5 | 94.6629114585347 | 0.837088541465292 |
15 | 96.3 | 95.7388267443209 | 0.561173255679051 |
16 | 100 | 96.5897193631661 | 3.41028063683387 |
17 | 103.1 | 100.598996597691 | 2.50100340230938 |
18 | 109.2 | 103.925811777488 | 5.27418822251215 |
19 | 108.7 | 110.504126180767 | -1.80412618076657 |
20 | 107.5 | 109.840510568053 | -2.34051056805303 |
21 | 104.5 | 108.428250430854 | -3.92825043085365 |
22 | 103.8 | 105.071998685278 | -1.27199868527826 |
23 | 102.5 | 104.256641540927 | -1.75664154092698 |
24 | 100.8 | 102.797332294655 | -1.99733229465535 |
25 | 100.7 | 100.916194882723 | -0.216194882723485 |
26 | 102.7 | 100.796588239585 | 1.90341176041458 |
27 | 106.5 | 102.969208029014 | 3.53079197098606 |
28 | 105.5 | 107.089414396981 | -1.58941439698066 |
29 | 110.1 | 105.945270925648 | 4.15472907435193 |
30 | 110.1 | 110.92206194526 | -0.822061945259563 |
31 | 109 | 110.847509416564 | -1.84750941656394 |
32 | 106.9 | 109.579959392398 | -2.67995939239839 |
33 | 108 | 107.236914752445 | 0.763085247554869 |
34 | 106.1 | 108.406118703733 | -2.30611870373323 |
35 | 101.7 | 106.29697755345 | -4.59697755345006 |
36 | 100.6 | 101.480079164049 | -0.88007916404888 |
37 | 102.6 | 100.300265072774 | 2.29973492722554 |
38 | 100.5 | 102.508827280456 | -2.00882728045599 |
39 | 105.2 | 100.226647392025 | 4.973352607975 |
40 | 104.3 | 105.377679111906 | -1.07767911190646 |
41 | 104.1 | 104.379944746049 | -0.279944746049495 |
42 | 104.8 | 104.154556648676 | 0.645443351323692 |
43 | 105.2 | 104.913091694908 | 0.286908305092155 |
44 | 102.7 | 105.339111315171 | -2.63911131517095 |
45 | 101 | 102.599771173969 | -1.59977117396893 |
46 | 93.9 | 100.754688449922 | -6.85468844992178 |
47 | 90.2 | 93.0330389984306 | -2.83303899843062 |
48 | 92.4 | 89.0761116191203 | 3.32388838087975 |
49 | 94.4 | 91.5775539682347 | 2.82244603176535 |
50 | 93.3 | 93.833520674866 | -0.533520674865997 |
51 | 93.9 | 92.685135859522 | 1.21486414047796 |
52 | 95.1 | 93.3953114907096 | 1.70468850929035 |
53 | 97.6 | 94.7499091335501 | 2.8500908664499 |
54 | 99.3 | 97.5083829411888 | 1.79161705881117 |
55 | 101.1 | 99.3708641057274 | 1.72913589427263 |
56 | 100.6 | 101.327678873908 | -0.727678873908488 |
57 | 99.3 | 100.761685915055 | -1.46168591505533 |
58 | 97 | 99.3291260979338 | -2.32912609793382 |
59 | 96.4 | 96.8178984146026 | -0.41789841460259 |
60 | 98.7 | 96.1799993441905 | 2.52000065580951 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 98.7085373786885 | 93.4971265055743 | 103.919948251803 |
62 | 98.717074757377 | 91.0055883064468 | 106.428561208307 |
63 | 98.7256121360655 | 88.857917294882 | 108.593306977249 |
64 | 98.734149514754 | 86.8463961790202 | 110.621902850488 |
65 | 98.7426868934425 | 84.8951023222695 | 112.590271464615 |
66 | 98.751224272131 | 82.967406602516 | 114.535041941746 |
67 | 98.7597616508194 | 81.0429525085907 | 116.476570793048 |
68 | 98.7682990295079 | 79.1094176316606 | 118.427180427355 |
69 | 98.7768364081964 | 77.1589152171943 | 120.394757599199 |
70 | 98.7853737868849 | 75.186205070705 | 122.384542503065 |
71 | 98.7939111655734 | 73.1877185213518 | 124.400103809795 |
72 | 98.8024485442619 | 71.160989266024 | 126.4439078225 |