Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0500039611236148 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 4.69 | 4.69 | 0 |
4 | 4.69 | 4.69 | 0 |
5 | 4.69 | 4.69 | 0 |
6 | 4.69 | 4.69 | 0 |
7 | 4.69 | 4.69 | 0 |
8 | 4.73 | 4.69 | 0.04 |
9 | 4.78 | 4.73200015844495 | 0.0479998415550549 |
10 | 4.79 | 4.784400340656 | 0.00559965934399642 |
11 | 4.79 | 4.79468034580415 | -0.00468034580414578 |
12 | 4.8 | 4.79444630997451 | 0.00555369002548911 |
13 | 4.8 | 4.80472401647464 | -0.00472401647463716 |
14 | 4.81 | 4.80448779693849 | 0.00551220306150757 |
15 | 5.16 | 4.81476342892608 | 0.345236571073915 |
16 | 5.26 | 5.18202662500452 | 0.0779733749954836 |
17 | 5.29 | 5.28592560261647 | 0.00407439738353332 |
18 | 5.29 | 5.31612933862483 | -0.0261293386248349 |
19 | 5.29 | 5.31482276819205 | -0.0248227681920534 |
20 | 5.3 | 5.3135815314564 | -0.0135815314563974 |
21 | 5.3 | 5.32290240108545 | -0.0229024010854522 |
22 | 5.3 | 5.32175719031194 | -0.0217571903119378 |
23 | 5.3 | 5.32066924461342 | -0.0206692446134209 |
24 | 5.3 | 5.31963570050932 | -0.0196357005093164 |
25 | 5.3 | 5.31865383770441 | -0.0186538377044139 |
26 | 5.3 | 5.31772107192904 | -0.0177210719290359 |
27 | 5.3 | 5.31683494813723 | -0.0168349481372276 |
28 | 5.35 | 5.31599313404506 | 0.034006865954944 |
29 | 5.44 | 5.3676936120482 | 0.072306387951798 |
30 | 5.47 | 5.46130921786033 | 0.00869078213966556 |
31 | 5.47 | 5.49174379139258 | -0.0217437913925789 |
32 | 5.48 | 5.4906565156931 | -0.0106565156931042 |
33 | 5.48 | 5.50012364769667 | -0.020123647696674 |
34 | 5.48 | 5.49911738559958 | -0.0191173855995839 |
35 | 5.48 | 5.49816144059328 | -0.0181614405932766 |
36 | 5.48 | 5.4972532966239 | -0.0172532966239016 |
37 | 5.48 | 5.49639056345027 | -0.0163905634502663 |
38 | 5.48 | 5.49557097035271 | -0.0155709703527052 |
39 | 5.5 | 5.49479236015653 | 0.00520763984346839 |
40 | 5.55 | 5.51505276277681 | 0.0349472372231903 |
41 | 5.57 | 5.5668002630683 | 0.0031997369317045 |
42 | 5.58 | 5.58696026258944 | -0.00696026258943494 |
43 | 5.58 | 5.5966122218895 | -0.0166122218895026 |
44 | 5.58 | 5.59578154499196 | -0.0157815449919632 |
45 | 5.59 | 5.59499240522971 | -0.00499240522971434 |
46 | 5.59 | 5.60474276519269 | -0.0147427651926941 |
47 | 5.59 | 5.60400556853514 | -0.0140055685351443 |
48 | 5.55 | 5.6033052346306 | -0.0533052346305984 |
49 | 5.61 | 5.56063976175045 | 0.0493602382495553 |
50 | 5.61 | 5.62310796918493 | -0.0131079691849285 |
51 | 5.61 | 5.6224525188034 | -0.0124525188033955 |
52 | 5.63 | 5.62182984353726 | 0.00817015646274033 |
53 | 5.69 | 5.6422383837234 | 0.0477616162766044 |
54 | 5.7 | 5.70462665372689 | -0.00462665372689308 |
55 | 5.7 | 5.7143953027138 | -0.0143953027138002 |
56 | 5.7 | 5.71367548055654 | -0.0136754805565369 |
57 | 5.7 | 5.71299165235844 | -0.0129916523584415 |
58 | 5.7 | 5.71234201827898 | -0.0123420182789777 |
59 | 5.7 | 5.71172486847677 | -0.0117248684767688 |
60 | 5.7 | 5.71113857860928 | -0.0111385786092777 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 5.71058160555753 | 5.60904704298895 | 5.8121161681261 |
62 | 5.72116321111505 | 5.57393780414863 | 5.86838861808147 |
63 | 5.73174481667258 | 5.54694840521968 | 5.91654122812548 |
64 | 5.74232642223011 | 5.52373090171591 | 5.96092194274431 |
65 | 5.75290802778763 | 5.50264868496503 | 6.00316737061024 |
66 | 5.76348963334516 | 5.48288585676007 | 6.04409340993025 |
67 | 5.77407123890269 | 5.46397161235523 | 6.08417086545014 |
68 | 5.78465284446021 | 5.44560831931973 | 6.12369736960069 |
69 | 5.79523445001774 | 5.42759567504024 | 6.16287322499524 |
70 | 5.80581605557527 | 5.40979261004823 | 6.20183950110231 |
71 | 5.81639766113279 | 5.39209629871129 | 6.2406990235543 |
72 | 5.82697926669032 | 5.37442976264859 | 6.27952877073206 |