Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.889089461093732 |
beta | 0 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 92 | 92 | 0 |
4 | 90 | 91 | -1 |
5 | 88 | 89.1109105389063 | -1.11091053890627 |
6 | 87 | 87.1232116865467 | -0.123211686546739 |
7 | 88 | 86.0136654745544 | 1.98633452544556 |
8 | 90 | 86.7796945673347 | 3.2203054326653 |
9 | 91 | 88.6428341890203 | 2.35716581097969 |
10 | 91 | 89.7385654696128 | 1.26143453038719 |
11 | 92 | 89.8600936164398 | 2.13990638356022 |
12 | 94 | 90.7626618297904 | 3.23733817020963 |
13 | 88 | 92.6409450789202 | -4.64094507892023 |
14 | 90 | 87.5147297197374 | 2.48527028026257 |
15 | 82 | 88.7243573338883 | -6.72435733388835 |
16 | 83 | 81.7458020956999 | 1.25419790430013 |
17 | 88 | 81.860896234539 | 6.13910376546104 |
18 | 83 | 86.3191086929712 | -3.31910869297121 |
19 | 85 | 82.368124133826 | 2.63187586617408 |
20 | 81 | 83.7080972293482 | -2.70809722934823 |
21 | 79 | 80.3003565231176 | -1.30035652311759 |
22 | 71 | 78.1442232427492 | -7.14422324274925 |
23 | 70 | 70.79236964992 | -0.792369649920005 |
24 | 85 | 69.0878821448856 | 15.9121178551144 |
25 | 88 | 82.2351784335492 | 5.76482156645078 |
26 | 84 | 86.3606205333665 | -2.36062053336647 |
27 | 81 | 83.2618176955089 | -2.26181769550888 |
28 | 93 | 80.2508594195166 | 12.7491405804834 |
29 | 99 | 90.5859859476268 | 8.41401405237318 |
30 | 96 | 97.0667971670864 | -1.06679716708638 |
31 | 90 | 95.1183190487052 | -5.11831904870523 |
32 | 95 | 89.5676755239861 | 5.43232447601389 |
33 | 93 | 93.3974979648516 | -0.397497964851595 |
34 | 86 | 92.0440867134958 | -6.04408671349583 |
35 | 77 | 85.67035291459 | -8.67035291459004 |
36 | 89 | 76.9616335142647 | 12.0383664857353 |
37 | 90 | 86.664818285516 | 3.33518171448405 |
38 | 84 | 88.6300931986962 | -4.63009319869624 |
39 | 76 | 83.5135261318536 | -7.51352613185364 |
40 | 96 | 75.8333292323702 | 20.1666707676298 |
41 | 104 | 92.7633036772169 | 11.2366963227831 |
42 | 101 | 101.753731955314 | -0.753731955314052 |
43 | 95 | 100.083596817355 | -5.08359681735476 |
44 | 101 | 94.563824462595 | 6.43617553740499 |
45 | 95 | 99.286160302651 | -4.28616030265107 |
46 | 90 | 94.4753803490057 | -4.47538034900568 |
47 | 88 | 89.4963668463187 | -1.49636684631874 |
48 | 99 | 87.1659628533267 | 11.8340371466733 |
49 | 81 | 96.6874805626257 | -15.6874805626257 |
50 | 79 | 81.7399069232824 | -2.73990692328240 |
51 | 70 | 78.3038845534143 | -8.30388455341426 |
52 | 95 | 69.9209883108346 | 25.0790116891654 |
53 | 100 | 91.2184732983181 | 8.78152670168193 |
54 | 105 | 98.0260361410967 | 6.97396385890332 |
55 | 107 | 103.226513910096 | 3.7734860899038 |
56 | 106 | 105.581480624213 | 0.418519375786531 |
57 | 99 | 104.953581790489 | -5.9535817904888 |
58 | 86 | 98.6603149648057 | -12.6603149648057 |
59 | 81 | 86.4041623554697 | -5.40416235546968 |
60 | 95 | 80.5993785591821 | 14.4006214408179 |
61 | 82 | 92.4028193154137 | -10.4028193154137 |
62 | 78 | 82.153782296417 | -4.15378229641706 |
63 | 68 | 77.460698232995 | -9.46069823299493 |
64 | 96 | 68.049291139451 | 27.9507088605490 |
65 | 98 | 91.8999718174643 | 6.10002818253568 |
66 | 107 | 96.3234425869315 | 10.6765574130685 |
67 | 102 | 104.815857263653 | -2.81585726365287 |
68 | 98 | 101.312308246595 | -3.31230824659487 |
69 | 93 | 97.3673698926535 | -4.36736989265351 |
70 | 69 | 92.4843873483972 | -23.4843873483972 |
71 | 65 | 70.6046660566943 | -5.60466605669427 |
72 | 90 | 64.6216165327376 | 25.3783834672624 |
73 | 87 | 86.185269813076 | 0.814730186923981 |
74 | 80 | 85.909637835905 | -5.90963783590506 |
75 | 67 | 79.6554411171211 | -12.6554411171211 |
76 | 85 | 67.4036217943964 | 17.5963782056036 |
77 | 85 | 82.048376210418 | 2.95162378958199 |
78 | 92 | 83.6726338148489 | 8.3273661851511 |
79 | 87 | 90.076407328735 | -3.07640732873506 |
80 | 85 | 86.3412059947252 | -1.3412059947252 |
81 | 79 | 84.1487538796593 | -5.1487538796593 |
82 | 58 | 78.5710510674888 | -20.5710510674888 |
83 | 47 | 59.2815463597635 | -12.2815463597635 |
84 | 67 | 47.3621529253637 | 19.6378470746363 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 63.8219557979932 | 45.0671900890184 | 82.576721506968 |
86 | 62.8219557979932 | 37.7264248367959 | 87.9174867591906 |
87 | 61.8219557979932 | 31.6917365546772 | 91.9521750413092 |
88 | 60.8219557979932 | 26.3854265147427 | 95.2584850812437 |
89 | 59.8219557979932 | 21.5607615340651 | 98.0831500619213 |
90 | 58.8219557979932 | 17.085120461232 | 100.558791134754 |
91 | 57.8219557979932 | 12.8774582331767 | 102.766453362810 |
92 | 56.8219557979932 | 8.88395105457829 | 104.759960541408 |
93 | 55.8219557979932 | 5.06669266001364 | 106.577218935973 |
94 | 54.8219557979932 | 1.39779297225093 | 108.246118623735 |
95 | 53.8219557979932 | -2.14397679548101 | 109.787888391467 |
96 | 52.8219557979932 | -5.57521920630965 | 111.219130802296 |