Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0485945014061319 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 87.8 | 87.1 | 0.700000000000003 |
4 | 88.1 | 87.6340161509843 | 0.465983849015714 |
5 | 88 | 87.9566604037905 | 0.043339596209492 |
6 | 87.8 | 87.8587664698595 | -0.0587664698594637 |
7 | 87 | 87.6559107425572 | -0.655910742557239 |
8 | 87.2 | 86.8240370870557 | 0.37596291294426 |
9 | 87 | 87.0423068173575 | -0.0423068173574705 |
10 | 89.4 | 86.8402509386619 | 2.5597490613381 |
11 | 89.1 | 89.3646406680224 | -0.264640668022452 |
12 | 87.8 | 89.0517805867081 | -1.25178058670811 |
13 | 87.8 | 87.6909509332271 | 0.109049066772855 |
14 | 88 | 87.6962501182558 | 0.303749881744224 |
15 | 86.5 | 87.9110106923113 | -1.41101069231131 |
16 | 84.1 | 86.3424433312397 | -2.24244333123973 |
17 | 84.3 | 83.8334729156266 | 0.466527084373382 |
18 | 84.7 | 84.0561435666842 | 0.643856433315804 |
19 | 85.7 | 84.4874314490383 | 1.21256855096168 |
20 | 86.4 | 85.5463556131931 | 0.853644386806948 |
21 | 86 | 86.2878380365481 | -0.287838036548081 |
22 | 86.9 | 85.8738506906763 | 1.0261493093237 |
23 | 89.1 | 86.8237159047311 | 2.27628409526885 |
24 | 90.7 | 89.1343307953994 | 1.56566920460057 |
25 | 89.8 | 90.8104137097639 | -1.01041370976394 |
26 | 89.4 | 89.861313159324 | -0.461313159324035 |
27 | 88.6 | 89.4388958763546 | -0.838895876354613 |
28 | 86.8 | 88.5981301495115 | -1.79813014951148 |
29 | 86.8 | 86.7107509114326 | 0.0892490885673567 |
30 | 89.5 | 86.7150879263925 | 2.78491207360747 |
31 | 88.5 | 89.5504193400694 | -1.0504193400694 |
32 | 91.2 | 88.4993747359714 | 2.70062526402863 |
33 | 92.3 | 91.3306102741616 | 0.969389725838354 |
34 | 92 | 92.477717284557 | -0.477717284556988 |
35 | 92.8 | 92.1545028513008 | 0.64549714869915 |
36 | 92.9 | 92.985870463401 | -0.0858704634009513 |
37 | 92.7 | 93.0816976310465 | -0.381697631046478 |
38 | 94.2 | 92.8631492249779 | 1.33685077502213 |
39 | 94 | 94.4281128218445 | -0.428112821844479 |
40 | 94.3 | 94.2073088927214 | 0.0926911072786254 |
41 | 94.8 | 94.5118131708644 | 0.28818682913564 |
42 | 94.7 | 95.025817466138 | -0.325817466138005 |
43 | 95.1 | 94.9099845288216 | 0.190015471178356 |
44 | 97 | 95.319218235903 | 1.68078176409701 |
45 | 97.9 | 97.3008949877018 | 0.599105012298196 |
46 | 97.3 | 98.2300081970644 | -0.930008197064367 |
47 | 96.5 | 97.5848149124244 | -1.08481491242439 |
48 | 98.1 | 96.7320988726372 | 1.3679011273628 |
49 | 99.3 | 98.3985713458943 | 0.901428654105729 |
50 | 99.9 | 99.6423758218937 | 0.257624178106269 |
51 | 99.9 | 100.254894940379 | -0.354894940378983 |
52 | 99.9 | 100.2376489977 | -0.337648997699702 |
53 | 99.8 | 100.221241113006 | -0.421241113006218 |
54 | 99.5 | 100.100771111148 | -0.600771111147907 |
55 | 99.9 | 99.7715769385425 | 0.128423061457539 |
56 | 100.1 | 100.177817593183 | -0.077817593183056 |
57 | 100.1 | 100.374036086042 | -0.27403608604169 |
58 | 100.2 | 100.360719439073 | -0.160719439073205 |
59 | 100.6 | 100.452909358065 | 0.147090641934824 |
60 | 100.8 | 100.860057154471 | -0.0600571544714938 |
61 | 100.8 | 101.057138706994 | -0.257138706994084 |
62 | 100.5 | 101.044643179735 | -0.544643179735488 |
63 | 101 | 100.718176515972 | 0.28182348402801 |
64 | 100.5 | 101.231871587663 | -0.73187158766288 |
65 | 99 | 100.696306652767 | -1.69630665276709 |
66 | 97.9 | 99.113875476744 | -1.21387547674397 |
67 | 97.6 | 97.9548878031825 | -0.354887803182478 |
68 | 97.2 | 97.6376422073317 | -0.437642207331677 |
69 | 96.5 | 97.2163752024721 | -0.716375202472136 |
70 | 96.3 | 96.4815633066883 | -0.181563306688275 |
71 | 96.3 | 96.2727403283261 | 0.0272596716738889 |
72 | 96.2 | 96.2740649984796 | -0.0740649984795994 |
73 | 95.6 | 96.1704658468068 | -0.57046584680684 |
74 | 93.5 | 95.542744343412 | -2.04274434341202 |
75 | 93.2 | 93.3434782005437 | -0.143478200543726 |
76 | 93.6 | 93.0365059489257 | 0.563494051074329 |
77 | 94.6 | 93.4638886613829 | 1.13611133861707 |
78 | 96.1 | 94.5190974254249 | 1.58090257457512 |
79 | 98.4 | 96.095920597808 | 2.30407940219197 |
80 | 99.6 | 98.5078861875577 | 1.09211381244229 |
81 | 99.4 | 99.7609569137521 | -0.360956913752062 |
82 | 99.7 | 99.5434163924992 | 0.156583607500806 |
83 | 100.1 | 99.8510254948341 | 0.248974505165918 |
84 | 99.9 | 100.263124286775 | -0.363124286775431 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 100.045478443111 | 98.0562909402583 | 102.034665945964 |
86 | 100.190956886222 | 97.3086589071633 | 103.073254865281 |
87 | 100.336435329333 | 96.7210498935644 | 103.951820765102 |
88 | 100.481913772445 | 96.2080788151512 | 104.755748729738 |
89 | 100.627392215556 | 95.7375773404762 | 105.517207090635 |
90 | 100.772870658667 | 95.2934936545086 | 106.252247662825 |
91 | 100.918349101778 | 94.8665558585272 | 106.970142345029 |
92 | 101.063827544889 | 94.4508959315993 | 107.676759158179 |
93 | 101.209305988 | 94.0425599177044 | 108.376052058296 |
94 | 101.354784431111 | 93.6387593342987 | 109.070809527924 |
95 | 101.500262874223 | 93.2374586050231 | 109.763067143422 |
96 | 101.645741317334 | 92.8371313124068 | 110.454351322261 |