Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999945056492049 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 87.3 | 87.5 | -0.200000000000003 |
3 | 87.8 | 87.3000109887016 | 0.49998901129841 |
4 | 88.1 | 87.7999725288498 | 0.300027471150216 |
5 | 88 | 88.0999835154382 | -0.0999835154382396 |
6 | 87.8 | 88.0000054934451 | -0.200005493445076 |
7 | 87 | 87.8000109890034 | -0.800010989003425 |
8 | 87.2 | 87.0000439554101 | 0.199956044589868 |
9 | 87 | 87.1999890137135 | -0.199989013713477 |
10 | 89.4 | 87.000010988098 | 2.39998901190204 |
11 | 89.1 | 89.3998681361847 | -0.299868136184656 |
12 | 87.8 | 89.1000164758073 | -1.30001647580733 |
13 | 87.8 | 87.8000714274656 | -7.14274655706504e-05 |
14 | 88 | 87.8000000039245 | 0.199999996075519 |
15 | 86.5 | 87.9999890112986 | -1.49998901129862 |
16 | 84.1 | 86.5000824146582 | -2.40008241465819 |
17 | 84.3 | 84.1001318689472 | 0.199868131052767 |
18 | 84.7 | 84.2999890185438 | 0.400010981456248 |
19 | 85.7 | 84.6999780219935 | 1.00002197800654 |
20 | 86.4 | 85.6999450552845 | 0.700054944715504 |
21 | 86 | 86.3999615365256 | -0.399961536525581 |
22 | 86.9 | 86.0000219752899 | 0.899978024710151 |
23 | 89.1 | 86.8999505520503 | 2.20004944794974 |
24 | 90.7 | 89.0998791215657 | 1.60012087843434 |
25 | 89.8 | 90.6999120837458 | -0.899912083745804 |
26 | 89.4 | 89.8000494443267 | -0.400049444326712 |
27 | 88.6 | 89.4000219801198 | -0.800021980119837 |
28 | 86.8 | 88.600043956014 | -1.80004395601402 |
29 | 86.8 | 86.8000989007294 | -9.89007294123212e-05 |
30 | 89.5 | 86.8000000054339 | 2.69999999456606 |
31 | 88.5 | 89.4998516525288 | -0.999851652528832 |
32 | 91.2 | 88.5000549353572 | 2.69994506464279 |
33 | 92.3 | 91.1998516555469 | 1.10014834445312 |
34 | 92 | 92.2999395539907 | -0.299939553990683 |
35 | 92.8 | 92.0000164797313 | 0.799983520268725 |
36 | 92.9 | 92.7999560460991 | 0.100043953900908 |
37 | 92.7 | 92.8999945032342 | -0.199994503234223 |
38 | 94.2 | 92.7000109883996 | 1.49998901160043 |
39 | 94 | 94.1999175853418 | -0.199917585341822 |
40 | 94.3 | 94.0000109841734 | 0.299989015826554 |
41 | 94.8 | 94.2999835175511 | 0.500016482448871 |
42 | 94.7 | 94.7999725273404 | -0.0999725273404124 |
43 | 95.1 | 94.7000054928414 | 0.399994507158638 |
44 | 97 | 95.0999780228986 | 1.90002197710139 |
45 | 97.9 | 96.9998956061274 | 0.90010439387261 |
46 | 97.3 | 97.8999505451071 | -0.599950545107077 |
47 | 96.5 | 97.3000329633875 | -0.800032963387537 |
48 | 98.1 | 96.5000439566175 | 1.59995604338251 |
49 | 99.3 | 98.0999120928024 | 1.2000879071976 |
50 | 99.9 | 99.2999340629605 | 0.600065937039474 |
51 | 99.9 | 99.8999670302724 | 3.29697275844865e-05 |
52 | 99.9 | 99.8999999981885 | 1.81147186140151e-09 |
53 | 99.8 | 99.8999999999999 | -0.0999999999999091 |
54 | 99.5 | 99.8000054943508 | -0.300005494350799 |
55 | 99.9 | 99.5000164833543 | 0.399983516645747 |
56 | 100.1 | 99.8999780235025 | 0.20002197649751 |
57 | 100.1 | 100.099989010091 | 1.09899090574572e-05 |
58 | 100.2 | 100.099999999396 | 0.100000000603828 |
59 | 100.6 | 100.199994505649 | 0.400005494350822 |
60 | 100.8 | 100.599978022295 | 0.200021977705063 |
61 | 100.8 | 100.799989010091 | 1.09899091285115e-05 |
62 | 100.5 | 100.799999999396 | -0.299999999396164 |
63 | 101 | 100.500016483052 | 0.499983516947651 |
64 | 100.5 | 100.999972529152 | -0.499972529151663 |
65 | 99 | 100.500027470245 | -1.50002747024463 |
66 | 97.9 | 99.0000824167712 | -1.10008241677123 |
67 | 97.6 | 97.900060442387 | -0.300060442387021 |
68 | 97.2 | 97.6000164863733 | -0.400016486373289 |
69 | 96.5 | 97.200021978309 | -0.700021978308996 |
70 | 96.3 | 96.5000384616631 | -0.200038461663141 |
71 | 96.3 | 96.3000109908148 | -1.09908148147042e-05 |
72 | 96.2 | 96.3000000006039 | -0.10000000060387 |
73 | 95.6 | 96.2000054943508 | -0.600005494350839 |
74 | 93.5 | 95.6000329664066 | -2.10003296640664 |
75 | 93.2 | 93.500115383178 | -0.300115383177982 |
76 | 93.6 | 93.2000164893919 | 0.399983510608052 |
77 | 94.6 | 93.5999780235028 | 1.00002197649719 |
78 | 96.1 | 94.5999450552846 | 1.50005494471542 |
79 | 98.4 | 96.0999175817192 | 2.30008241828079 |
80 | 99.6 | 98.3998736254034 | 1.20012637459662 |
81 | 99.4 | 99.599934060847 | -0.199934060846985 |
82 | 99.7 | 99.4000109850787 | 0.299989014921323 |
83 | 100.1 | 99.6999835175512 | 0.400016482448819 |
84 | 99.9 | 100.099978021691 | -0.199978021691209 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 99.900010987494 | 97.9564931874696 | 101.843528787518 |
86 | 99.900010987494 | 97.1515372624171 | 102.648484712571 |
87 | 99.900010987494 | 96.5338627144874 | 103.266159260501 |
88 | 99.900010987494 | 96.0131355618736 | 103.786886413114 |
89 | 99.900010987494 | 95.5543640905731 | 104.245657884415 |
90 | 99.900010987494 | 95.1396020417053 | 104.660419933283 |
91 | 99.900010987494 | 94.7581883816886 | 105.0418335933 |
92 | 99.900010987494 | 94.4031767997093 | 105.396845175279 |
93 | 99.900010987494 | 94.0697423430467 | 105.730279631941 |
94 | 99.900010987494 | 93.7543719771996 | 106.045649997788 |
95 | 99.900010987494 | 93.4544136355584 | 106.34560833943 |
96 | 99.900010987494 | 93.1678069203474 | 106.632215054641 |