Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.945163820624744 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 95.56 | 96.24 | -0.679999999999993 |
3 | 95.56 | 95.5972886019752 | -0.0372886019751775 |
4 | 95.56 | 95.5620447644666 | -0.00204476446656088 |
5 | 95.96 | 95.5601121270711 | 0.399887872928929 |
6 | 95.96 | 95.9380716768701 | 0.0219283231299272 |
7 | 95.96 | 95.9587975345394 | 0.00120246546055114 |
8 | 95.96 | 95.9599340613883 | 6.59386116836913e-05 |
9 | 95.61 | 95.9599963841785 | -0.349996384178453 |
10 | 95.3 | 95.6291924645035 | -0.329192464503507 |
11 | 95.68 | 95.3180516570325 | 0.361948342967509 |
12 | 97.94 | 95.6601521357405 | 2.27984786425954 |
13 | 97.32 | 97.8149818535672 | -0.494981853567168 |
14 | 97.32 | 97.3471429137097 | -0.0271429137097101 |
15 | 97.45 | 97.3214884136849 | 0.128511586315057 |
16 | 98.08 | 97.442952915601 | 0.637047084398972 |
17 | 98.25 | 98.0450667718094 | 0.204933228190583 |
18 | 98.25 | 98.238762244739 | 0.011237755261007 |
19 | 97.95 | 98.2493837644367 | -0.299383764436726 |
20 | 97.81 | 97.9664170618087 | -0.156417061808696 |
21 | 97.68 | 97.8185773140587 | -0.138577314058693 |
22 | 98.03 | 97.6875990504511 | 0.342400949548932 |
23 | 98.03 | 98.0112240401123 | 0.0187759598877193 |
24 | 98.03 | 98.0289703980957 | 0.00102960190434942 |
25 | 98.11 | 98.0299435405653 | 0.0800564594347151 |
26 | 98.11 | 98.1056100096303 | 0.00438999036971666 |
27 | 98.11 | 98.1097592697006 | 0.000240730299367442 |
28 | 97.95 | 98.1099867992701 | -0.159986799270115 |
29 | 97.95 | 97.9587730648225 | -0.00877306482244933 |
30 | 97.95 | 97.9504810813563 | -0.000481081356269897 |
31 | 97.95 | 97.9500263806635 | -2.63806635416586e-05 |
32 | 97.95 | 97.9500014466148 | -1.44661480305786e-06 |
33 | 97.95 | 97.9500000793268 | -7.93268242205158e-08 |
34 | 97.89 | 97.95000000435 | -0.0600000043499875 |
35 | 97.16 | 97.8932901710011 | -0.733290171001059 |
36 | 97.16 | 97.2002108313511 | -0.040210831351132 |
37 | 97.16 | 97.1622050083608 | -0.00220500836080362 |
38 | 97.18 | 97.160120914234 | 0.0198790857660072 |
39 | 97.18 | 97.1789099068871 | 0.00109009311287878 |
40 | 96.47 | 97.1799402234585 | -0.709940223458531 |
41 | 97.47 | 96.5089304094393 | 0.961069590560712 |
42 | 97.47 | 97.4172986155399 | 0.052701384460093 |
43 | 97.47 | 97.4671100574284 | 0.00288994257158492 |
44 | 97.47 | 97.4698415265908 | 0.000158473409243243 |
45 | 96.63 | 97.4699913099237 | -0.839991309923704 |
46 | 96.78 | 96.6760619141446 | 0.103938085855376 |
47 | 96.25 | 96.7743004324801 | -0.524300432480118 |
48 | 96.25 | 96.278750632562 | -0.0287506325620086 |
49 | 96.28 | 96.2515765748443 | 0.0284234251556796 |
50 | 95.62 | 96.2784413679597 | -0.658441367959696 |
51 | 95.62 | 95.6561064089615 | -0.0361064089615297 |
52 | 96.85 | 95.6219799375184 | 1.22802006248158 |
53 | 96.85 | 96.7826600715773 | 0.0673399284226548 |
54 | 96.85 | 96.8463073356059 | 0.00369266439410865 |
55 | 96.85 | 96.8497975083929 | 0.000202491607083743 |
56 | 96.85 | 96.8499888961339 | 1.11038660861595e-05 |
57 | 96.85 | 96.8499993911064 | 6.08893586218073e-07 |
58 | 96.85 | 96.8499999666106 | 3.33893979131972e-08 |
59 | 96.75 | 96.8499999981691 | -0.0999999981690536 |
60 | 97.15 | 96.7554836178371 | 0.394516382162877 |
61 | 98.28 | 97.1283662289012 | 1.15163377109876 |
62 | 98.28 | 98.2168488039534 | 0.0631511960465758 |
63 | 98.28 | 98.2765370296858 | 0.00346297031417464 |
64 | 98.51 | 98.2798101039387 | 0.230189896061319 |
65 | 98.51 | 98.4973772655692 | 0.0126227344307921 |
66 | 98.51 | 98.5093078174706 | 0.00069218252944836 |
67 | 96.03 | 98.5099620433547 | -2.47996204335466 |
68 | 96.03 | 96.1659916434532 | -0.135991643453224 |
69 | 96.77 | 96.0374572621539 | 0.73254273784606 |
70 | 96.92 | 96.7298301550274 | 0.190169844972573 |
71 | 96.92 | 96.9095718122693 | 0.0104281877306818 |
72 | 96.92 | 96.919428158027 | 0.000571841972956122 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 96.919968642371 | 95.8625617060787 | 97.9773755786634 |
74 | 96.919968642371 | 95.4649925869582 | 98.3749446977838 |
75 | 96.919968642371 | 95.1548054162839 | 98.6851318684581 |
76 | 96.919968642371 | 94.8915093483166 | 98.9484279364254 |
77 | 96.919968642371 | 94.658665257033 | 99.181272027709 |
78 | 96.919968642371 | 94.4476541612731 | 99.3922831234689 |
79 | 96.919968642371 | 94.2532881616325 | 99.5866491231096 |
80 | 96.919968642371 | 94.0721570827243 | 99.7677802020177 |
81 | 96.919968642371 | 93.9018770976754 | 99.9380601870666 |
82 | 96.919968642371 | 93.7407041889057 | 100.099233095836 |
83 | 96.919968642371 | 93.5873167916711 | 100.252620493071 |
84 | 96.919968642371 | 93.4406850593788 | 100.399252225363 |