Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.916698954658846 |
beta | 0.0425789585757162 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.5494 | 1.54044228098291 | 0.0089577190170933 |
14 | 1.558 | 1.5580807384044 | -8.07384043970405e-05 |
15 | 1.5691 | 1.56894716663414 | 0.000152833365864913 |
16 | 1.5748 | 1.57396284193338 | 0.000837158066617549 |
17 | 1.5564 | 1.55500517966346 | 0.00139482033654081 |
18 | 1.5601 | 1.55837150189523 | 0.00172849810477005 |
19 | 1.5687 | 1.58273617307642 | -0.0140361730764174 |
20 | 1.5775 | 1.56635569220584 | 0.0111443077941582 |
21 | 1.5841 | 1.5745764507498 | 0.00952354925020171 |
22 | 1.5898 | 1.58347485229856 | 0.0063251477014401 |
23 | 1.5922 | 1.58652983287187 | 0.00567016712812807 |
24 | 1.5969 | 1.59656821189392 | 0.000331788106082032 |
25 | 1.6155 | 1.60099704218704 | 0.014502957812961 |
26 | 1.6212 | 1.62442938266906 | -0.00322938266906059 |
27 | 1.6124 | 1.63376949201363 | -0.0213694920136274 |
28 | 1.6375 | 1.61961320107409 | 0.0178867989259066 |
29 | 1.6506 | 1.61749738564494 | 0.0331026143550621 |
30 | 1.6543 | 1.65236163162154 | 0.00193836837845662 |
31 | 1.6567 | 1.67801729515574 | -0.0213172951557417 |
32 | 1.6383 | 1.65918739835725 | -0.0208873983572542 |
33 | 1.6475 | 1.63878707083216 | 0.00871292916784161 |
34 | 1.6706 | 1.64752166376978 | 0.0230783362302243 |
35 | 1.6485 | 1.66737934226072 | -0.018879342260719 |
36 | 1.6592 | 1.65500992862641 | 0.00419007137359095 |
37 | 1.6203 | 1.66484812274614 | -0.044548122746136 |
38 | 1.608 | 1.63105839634486 | -0.0230583963448636 |
39 | 1.572 | 1.61832333116182 | -0.0463233311618181 |
40 | 1.5964 | 1.58120112326776 | 0.0151988767322355 |
41 | 1.6247 | 1.57442302172789 | 0.0502769782721149 |
42 | 1.6139 | 1.61963956217395 | -0.00573956217394955 |
43 | 1.6193 | 1.6332245553493 | -0.0139245553493037 |
44 | 1.6212 | 1.61840084195308 | 0.00279915804692443 |
45 | 1.5942 | 1.62029768557133 | -0.0260976855713282 |
46 | 1.5194 | 1.59507733827781 | -0.0756773382778078 |
47 | 1.5162 | 1.51381529512742 | 0.00238470487258269 |
48 | 1.5393 | 1.51659491810214 | 0.0227050818978569 |
49 | 1.4935 | 1.53380314055392 | -0.0403031405539223 |
50 | 1.4904 | 1.50031787213475 | -0.00991787213475503 |
51 | 1.5083 | 1.49282659102116 | 0.0154734089788375 |
52 | 1.5147 | 1.51502618282323 | -0.000326182823232601 |
53 | 1.5118 | 1.49388027085088 | 0.0179197291491211 |
54 | 1.5148 | 1.50044770042397 | 0.0143522995760308 |
55 | 1.5202 | 1.52823227301646 | -0.00803227301646259 |
56 | 1.5236 | 1.51689630880016 | 0.00670369119983949 |
57 | 1.5148 | 1.51681089599163 | -0.00201089599162896 |
58 | 1.5138 | 1.50732660368479 | 0.00647339631521393 |
59 | 1.5105 | 1.50886697451685 | 0.00163302548315003 |
60 | 1.502 | 1.51361317447447 | -0.0116131744744705 |
61 | 1.4765 | 1.49373665527207 | -0.01723665527207 |
62 | 1.4671 | 1.48445128636017 | -0.0173512863601666 |
63 | 1.4482 | 1.47249453272596 | -0.0242945327259634 |
64 | 1.4337 | 1.45560415594214 | -0.0219041559421411 |
65 | 1.4181 | 1.41403679330533 | 0.00406320669467242 |
66 | 1.3767 | 1.40490309482598 | -0.0282030948259773 |
67 | 1.346 | 1.38744979991914 | -0.0414497999191408 |
68 | 1.3413 | 1.34104046549648 | 0.000259534503515235 |
69 | 1.3089 | 1.32840315842366 | -0.0195031584236638 |
70 | 1.3452 | 1.29698911000868 | 0.0482108899913183 |
71 | 1.3442 | 1.33141472335003 | 0.0127852766499719 |
72 | 1.2811 | 1.34074378726331 | -0.0596437872633135 |
73 | 1.2779 | 1.26995750792083 | 0.00794249207916509 |
74 | 1.2974 | 1.2783153770649 | 0.0190846229350961 |
75 | 1.2867 | 1.2951742621776 | -0.00847426217760439 |
76 | 1.2977 | 1.28959618839047 | 0.00810381160953266 |
77 | 1.2537 | 1.27548223692452 | -0.0217822369245153 |
78 | 1.2092 | 1.23674145928404 | -0.0275414592840415 |
79 | 1.1766 | 1.21559027425443 | -0.0389902742544328 |
80 | 1.1203 | 1.17180506966389 | -0.0515050696638917 |
81 | 1.2005 | 1.10494352462742 | 0.0955564753725811 |
82 | 1.2295 | 1.18401076441411 | 0.0454892355858907 |
83 | 1.2307 | 1.21224980869281 | 0.0184501913071899 |
84 | 1.2276 | 1.22021894996319 | 0.007381050036811 |
85 | 1.2108 | 1.21860086864789 | -0.00780086864789165 |
86 | 1.2071 | 1.21493706241362 | -0.00783706241362081 |
87 | 1.2061 | 1.20525246900673 | 0.000847530993269618 |
88 | 1.2023 | 1.21039577942698 | -0.00809577942698203 |
89 | 1.2012 | 1.17910497214011 | 0.0220950278598899 |
90 | 1.2011 | 1.1819821406584 | 0.0191178593416041 |
91 | 1.2011 | 1.20634646919898 | -0.00524646919897576 |
92 | 1.2011 | 1.19746543423352 | 0.0036345657664838 |
93 | 1.2089 | 1.2005666851689 | 0.00833331483110133 |
94 | 1.2098 | 1.19926735886044 | 0.010532641139559 |
95 | 1.2052 | 1.19560638747591 | 0.00959361252409074 |
96 | 1.2091 | 1.19658598902075 | 0.0125140109792512 |
97 | 1.2288 | 1.20066031594174 | 0.0281396840582635 |
98 | 1.2298 | 1.23359469460078 | -0.00379469460077564 |
99 | 1.2266 | 1.23215148607908 | -0.00555148607907707 |
100 | 1.2199 | 1.23424638496919 | -0.0143463849691898 |
101 | 1.2418 | 1.20305915358204 | 0.0387408464179573 |
102 | 1.2322 | 1.22491582001688 | 0.00728417998312292 |
103 | 1.2366 | 1.23990905451788 | -0.00330905451787822 |
104 | 1.2338 | 1.23712586789426 | -0.0033258678942627 |
105 | 1.2338 | 1.23754824985942 | -0.00374824985942346 |
106 | 1.2316 | 1.22819574590885 | 0.00340425409114564 |
107 | 1.2316 | 1.22048250558102 | 0.011117494418978 |
108 | 1.2245 | 1.22572233867813 | -0.00122233867813315 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 1.22059006310471 | 1.17374412502119 | 1.26743600118824 |
110 | 1.22605416506304 | 1.16125382252604 | 1.29085450760003 |
111 | 1.22907683078217 | 1.14926015693619 | 1.30889350462816 |
112 | 1.23687845720681 | 1.14351850972613 | 1.33023840468749 |
113 | 1.22517504345674 | 1.11914718726747 | 1.33120289964601 |
114 | 1.20929578686379 | 1.09116506396233 | 1.32742650976525 |
115 | 1.21684302051888 | 1.08699060123111 | 1.34669543980664 |
116 | 1.21733482628174 | 1.07602331797835 | 1.35864633458514 |
117 | 1.22114364471493 | 1.06855455850163 | 1.37373273092822 |
118 | 1.21634207226735 | 1.05259898649558 | 1.38008515803913 |
119 | 1.20653690533299 | 1.03172061351542 | 1.38135319715057 |
120 | 1.20050971149207 | 1.01466857165037 | 1.38635085133377 |