Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0626252314263217 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 72.03 | 70.99 | 1.04000000000001 |
4 | 72.31 | 72.0951302406834 | 0.214869759316628 |
5 | 72.33 | 72.3885865090871 | -0.0585865090871067 |
6 | 72.33 | 72.4049175153971 | -0.0749175153970612 |
7 | 73.14 | 72.4002257886574 | 0.739774211342578 |
8 | 73.28 | 73.256554319846 | 0.0234456801540119 |
9 | 73.28 | 73.3980226109916 | -0.118022610991574 |
10 | 73.28 | 73.3906314176647 | -0.110631417664692 |
11 | 73.28 | 73.3837030995304 | -0.103703099530421 |
12 | 73.28 | 73.3772086689227 | -0.0972086689227041 |
13 | 73.28 | 73.3711209535348 | -0.0911209535347695 |
14 | 73.28 | 73.3654144827319 | -0.0854144827318635 |
15 | 74.33 | 73.3600653809836 | 0.969934619016371 |
16 | 75.71 | 74.4708077609679 | 1.23919223903206 |
17 | 76.65 | 75.928412461719 | 0.721587538281 |
18 | 76.65 | 76.9136020482982 | -0.26360204829821 |
19 | 76.66 | 76.8970939090191 | -0.237093909019094 |
20 | 76.66 | 76.892245848097 | -0.232245848096994 |
21 | 76.66 | 76.8777013981121 | -0.217701398112112 |
22 | 76.66 | 76.8640677976735 | -0.204067797673503 |
23 | 76.66 | 76.8512880046175 | -0.191288004617547 |
24 | 76.17 | 76.8393085490593 | -0.669308549059281 |
25 | 76.05 | 76.3073929462788 | -0.257392946278841 |
26 | 76.06 | 76.1712736534506 | -0.111273653450624 |
27 | 76.08 | 76.1743051151516 | -0.0943051151516272 |
28 | 79.02 | 76.1883992354906 | 2.83160076450943 |
29 | 80.21 | 79.3057288886749 | 0.904271111325073 |
30 | 79.8 | 80.5523590762938 | -0.752359076293786 |
31 | 80.22 | 80.0952424150252 | 0.124757584974802 |
32 | 81.28 | 80.5230553876564 | 0.756944612343574 |
33 | 82.1 | 81.6304592191814 | 0.469540780818633 |
34 | 82.13 | 82.4798643192442 | -0.349864319244219 |
35 | 82.12 | 82.4879539852837 | -0.367953985283734 |
36 | 82.13 | 82.4549107818011 | -0.324910781801123 |
37 | 82.13 | 82.4445631688979 | -0.314563168897905 |
38 | 82.13 | 82.4248635776475 | -0.294863577647476 |
39 | 82.13 | 82.4063976778581 | -0.276397677858114 |
40 | 82.68 | 82.3890882093165 | 0.290911790683467 |
41 | 83.81 | 82.9573066275328 | 0.852693372467243 |
42 | 84.52 | 84.1407067473192 | 0.379293252680796 |
43 | 84.53 | 84.8744600750468 | -0.344460075046769 |
44 | 84.57 | 84.8628881831298 | -0.292888183129847 |
45 | 84.59 | 84.8845459928793 | -0.294545992879293 |
46 | 85.28 | 84.8860999819095 | 0.393900018090463 |
47 | 86.5 | 85.6007680617013 | 0.899231938298712 |
48 | 86.79 | 86.8770826699432 | -0.0870826699431717 |
49 | 86.83 | 87.1616290975848 | -0.331629097584781 |
50 | 88.45 | 87.1808607486008 | 1.26913925139918 |
51 | 93.64 | 88.8803408879319 | 4.75965911206808 |
52 | 95.75 | 94.3684156413356 | 1.38158435866441 |
53 | 95.9 | 96.5649376815319 | -0.664937681531924 |
54 | 96.01 | 96.6732958053419 | -0.663295805341917 |
55 | 95.99 | 96.7417567520283 | -0.751756752028285 |
56 | 95.96 | 96.6746778114562 | -0.714677811456198 |
57 | 96 | 96.5999209481185 | -0.599920948118495 |
58 | 96.02 | 96.6023507599051 | -0.582350759905083 |
59 | 96.04 | 96.5858809087947 | -0.545880908794715 |
60 | 96.04 | 96.5716949905503 | -0.53169499055025 |
61 | 96.04 | 96.5383974687188 | -0.498397468718821 |
62 | 96.04 | 96.507185211898 | -0.467185211898013 |
63 | 96.13 | 96.477927629884 | -0.347927629883955 |
64 | 96.17 | 96.5461385815428 | -0.376138581542847 |
65 | 96.19 | 96.5625828158254 | -0.372582815825368 |
66 | 96.16 | 96.5592497307588 | -0.399249730758825 |
67 | 96.45 | 96.5042466239732 | -0.0542466239731567 |
68 | 96.47 | 96.7908494165927 | -0.32084941659275 |
69 | 96.47 | 96.7907561476256 | -0.320756147625616 |
70 | 96.76 | 96.7706687196492 | -0.0106687196491464 |
71 | 97.24 | 97.0600005886121 | 0.179999411387882 |
72 | 97.26 | 97.5512730934069 | -0.291273093406858 |
73 | 98.3 | 97.553032048524 | 0.74696795147598 |
74 | 98.87 | 98.6398110893532 | 0.230188910646774 |
75 | 100.49 | 99.2242267231543 | 1.26577327684574 |
76 | 100.53 | 100.92349606755 | -0.393496067549975 |
77 | 99.66 | 100.938853285254 | -1.27885328525431 |
78 | 99.31 | 99.9887648023049 | -0.67876480230494 |
79 | 100.36 | 99.5962569994766 | 0.763743000523434 |
80 | 100.77 | 100.694086581635 | 0.0759134183654169 |
81 | 100.39 | 101.108840677028 | -0.718840677028069 |
82 | 100.42 | 100.683823113271 | -0.263823113270533 |
83 | 100.44 | 100.697301129746 | -0.257301129746367 |
84 | 100.44 | 100.70118758695 | -0.261187586949731 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 100.684830653871 | 99.0682860054198 | 102.301375302323 |
86 | 100.929661307743 | 98.5708504600808 | 103.288472155404 |
87 | 101.174491961614 | 98.1957651035928 | 104.153218819635 |
88 | 101.419322615485 | 97.8752868523682 | 104.963358378602 |
89 | 101.664153269357 | 97.584127086526 | 105.744179452187 |
90 | 101.908983923228 | 97.3097900990285 | 106.508177747427 |
91 | 102.153814577099 | 97.0451359141734 | 107.262493240025 |
92 | 102.398645230971 | 96.7857001173169 | 108.011590344624 |
93 | 102.643475884842 | 96.52851497025 | 108.758436799434 |
94 | 102.888306538713 | 96.2715189687369 | 109.50509410869 |
95 | 103.133137192585 | 96.0132325037999 | 110.253041881369 |
96 | 103.377967846456 | 95.7525668910041 | 111.003368801908 |