Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.872863233637848 |
beta | 0.115842866993129 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | -2 | 0 | -2 |
4 | -5 | 1.0520435737693 | -6.0520435737693 |
5 | -11 | -2.04474497086176 | -8.95525502913824 |
6 | -11 | -8.58115048284771 | -2.41884951715229 |
7 | -11 | -9.65674986255937 | -1.34325013744063 |
8 | -10 | -9.9293207996775 | -0.0706792003224912 |
9 | -14 | -9.09825807947926 | -4.90174192052074 |
10 | -8 | -12.979691920838 | 4.97969192083798 |
11 | -9 | -7.73246402007005 | -1.26753597992995 |
12 | -5 | -8.06637854063661 | 3.06637854063661 |
13 | -1 | -4.30732161526469 | 3.30732161526469 |
14 | -2 | -0.0035345813972758 | -1.99646541860272 |
15 | -5 | -0.53110080826742 | -4.46889919173258 |
16 | -4 | -3.66863622336618 | -0.33136377663382 |
17 | -6 | -3.22817493822464 | -2.77182506177536 |
18 | -2 | -5.19817561623636 | 3.19817561623636 |
19 | -2 | -1.63379873581744 | -0.36620126418256 |
20 | -2 | -1.21766381845742 | -0.782336181542582 |
21 | -2 | -1.24386367763507 | -0.756136322364931 |
22 | 2 | -1.32365135172818 | 3.32365135172818 |
23 | 1 | 2.49372857416382 | -1.49372857416382 |
24 | -8 | 1.95515634615814 | -9.95515634615814 |
25 | -1 | -6.9757005177407 | 5.9757005177407 |
26 | 1 | -1.39686530958004 | 2.39686530958004 |
27 | -1 | 1.30049521271705 | -2.30049521271705 |
28 | 2 | -0.334912086262849 | 2.33491208626285 |
29 | 2 | 2.31185180665757 | -0.31185180665757 |
30 | 1 | 2.61681992029737 | -1.61681992029737 |
31 | -1 | 1.61924463341157 | -2.61924463341157 |
32 | -2 | -0.518155197395554 | -1.48184480260445 |
33 | -2 | -1.81259724074942 | -0.187402759250578 |
34 | -1 | -1.9961176425403 | 0.996117642540299 |
35 | -8 | -1.04586418436499 | -6.95413581563501 |
36 | -4 | -7.73826196821476 | 3.73826196821476 |
37 | -6 | -4.71966456491369 | -1.28033543508631 |
38 | -3 | -6.21107741062758 | 3.21107741062758 |
39 | -3 | -3.45741308975279 | 0.457413089752792 |
40 | -7 | -3.06106979716685 | -3.93893020283315 |
41 | -9 | -6.90041777375232 | -2.09958222624768 |
42 | -11 | -9.34656574142853 | -1.65343425857147 |
43 | -13 | -11.5704745224808 | -1.42952547751922 |
44 | -11 | -13.7434880001858 | 2.74348800018578 |
45 | -9 | -11.9966237068913 | 2.99662370689131 |
46 | -17 | -9.72580301746854 | -7.27419698253146 |
47 | -22 | -17.1555343657338 | -4.84446563426618 |
48 | -25 | -22.9542905956693 | -2.04570940433069 |
49 | -20 | -26.5169672770151 | 6.51696727701506 |
50 | -24 | -21.946635289215 | -2.05336471078497 |
51 | -24 | -25.0646569242269 | 1.06465692422687 |
52 | -22 | -25.3534193493057 | 3.35341934930573 |
53 | -19 | -23.3053242743169 | 4.30532427431694 |
54 | -18 | -19.9910136127255 | 1.99101361272552 |
55 | -17 | -18.4954583382632 | 1.49545833826317 |
56 | -11 | -17.2812418039314 | 6.28124180393138 |
57 | -11 | -11.2545632021681 | 0.254563202168137 |
58 | -12 | -10.462610619873 | -1.53738938012697 |
59 | -10 | -11.3902406587062 | 1.39024065870619 |
60 | -15 | -9.62187591927427 | -5.37812408072573 |
61 | -15 | -14.3051768187933 | -0.69482318120667 |
62 | -15 | -14.9708535827673 | -0.0291464172326545 |
63 | -13 | -15.0584327133617 | 2.05843271336175 |
64 | -8 | -13.1157023919832 | 5.11570239198324 |
65 | -13 | -7.98711963044184 | -5.01288036955816 |
66 | -9 | -12.2062816659991 | 3.20628166599908 |
67 | -7 | -8.9270362445498 | 1.9270362445498 |
68 | -4 | -6.56954488796309 | 2.56954488796309 |
69 | -4 | -3.39141188063348 | -0.608588119366518 |
70 | -2 | -3.04889170221277 | 1.04889170221277 |
71 | 0 | -1.15355966409551 | 1.15355966409551 |
72 | -2 | 0.94977535145009 | -2.94977535145009 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | -0.826806377497968 | -7.72243464919897 | 6.06882189420303 |
74 | -0.0286376546740812 | -9.65448412366511 | 9.59720881431695 |
75 | 0.769531068149806 | -11.3802038079632 | 12.9192659442629 |
76 | 1.56769979097369 | -13.0404972226591 | 16.1758968046065 |
77 | 2.36586851379758 | -14.6922476282119 | 19.4239846558071 |
78 | 3.16403723662147 | -16.3635866668963 | 22.6916611401392 |
79 | 3.96220595944535 | -18.0699987822469 | 25.9944107011376 |
80 | 4.76037468226924 | -19.8205426416223 | 29.3412920061608 |
81 | 5.55854340509313 | -21.6206906939676 | 32.7377775041538 |
82 | 6.35671212791701 | -23.4737785442859 | 36.1872028001199 |
83 | 7.1548808507409 | -25.3818067167481 | 39.6915684182299 |
84 | 7.95304957356479 | -27.3459118467581 | 43.2520109938877 |