Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0330442684200226 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 1400 | 1200 | 200 |
3 | 1210 | 1206.608853684 | 3.39114631599546 |
4 | 1260 | 1206.72091163312 | 53.2790883668781 |
5 | 1320 | 1208.48148013029 | 111.518519869709 |
6 | 1320 | 1212.16652803467 | 107.833471965331 |
7 | 1310 | 1215.72980622695 | 94.2701937730455 |
8 | 1260 | 1218.844895814 | 41.1551041860014 |
9 | 1340 | 1220.20483612357 | 119.795163876425 |
10 | 1180 | 1224.16337967413 | -44.163379674128 |
11 | 1330 | 1222.70403310184 | 107.295966898159 |
12 | 1390 | 1226.24954983241 | 163.750450167591 |
13 | 1130 | 1231.66056366165 | -101.660563661647 |
14 | 1340 | 1228.30126470828 | 111.69873529172 |
15 | 1140 | 1231.99226769944 | -91.992267699437 |
16 | 1290 | 1228.95245051301 | 61.0475494869897 |
17 | 1260 | 1230.96972212464 | 29.0302778753571 |
18 | 1280 | 1231.92900641906 | 48.0709935809361 |
19 | 1330 | 1233.51747723417 | 96.4825227658305 |
20 | 1270 | 1236.70567161428 | 33.2943283857153 |
21 | 1300 | 1237.80585833833 | 62.1941416616733 |
22 | 1150 | 1239.86101824955 | -89.8610182495479 |
23 | 1410 | 1236.89162664201 | 173.108373357987 |
24 | 1250 | 1242.61186619701 | 7.38813380299189 |
25 | 1030 | 1242.85600167352 | -212.856001673517 |
26 | 1320 | 1235.8223308194 | 84.1776691805951 |
27 | 1160 | 1238.60392031478 | -78.6039203147802 |
28 | 1300 | 1236.00651127303 | 63.9934887269674 |
29 | 1190 | 1238.12112929166 | -48.1211292916603 |
30 | 1310 | 1236.53100177867 | 73.4689982213279 |
31 | 1290 | 1238.95873107645 | 51.041268923552 |
32 | 1320 | 1240.64535246726 | 79.3546475327437 |
33 | 1300 | 1243.2675687407 | 56.7324312592955 |
34 | 1230 | 1245.14225042736 | -15.1422504273571 |
35 | 1330 | 1244.64188583975 | 85.3581141602479 |
36 | 1220 | 1247.46248227589 | -27.4624822758904 |
37 | 1010 | 1246.55500464009 | -236.555004640086 |
38 | 1290 | 1238.73821757066 | 51.2617824293409 |
39 | 1170 | 1240.43212566894 | -70.4321256689429 |
40 | 1240 | 1238.10474760295 | 1.89525239705426 |
41 | 1260 | 1238.16737483188 | 21.8326251681224 |
42 | 1260 | 1238.88881795825 | 21.1111820417532 |
43 | 1310 | 1239.5864215243 | 70.4135784757016 |
44 | 1360 | 1241.91318671186 | 118.086813288136 |
45 | 1250 | 1245.81527906702 | 4.1847209329776 |
46 | 1170 | 1245.95356010879 | -75.9535601087946 |
47 | 1360 | 1243.4437302811 | 116.556269718897 |
48 | 1140 | 1247.29524694373 | -107.295246943731 |
49 | 1030 | 1243.74975400353 | -213.74975400353 |
50 | 1260 | 1236.68654975752 | 23.3134502424764 |
51 | 1210 | 1237.45692566513 | -27.4569256651328 |
52 | 1190 | 1236.54963164347 | -46.5496316434655 |
53 | 1230 | 1235.01143312059 | -5.01143312058571 |
54 | 1350 | 1234.84583397938 | 115.15416602062 |
55 | 1300 | 1238.65101915105 | 61.348980848951 |
56 | 1340 | 1240.67825134152 | 99.3217486584833 |
57 | 1270 | 1243.96026586413 | 26.0397341358662 |
58 | 1220 | 1244.82072982851 | -24.8207298285054 |
59 | 1400 | 1244.00054696967 | 155.999453030329 |
60 | 1120 | 1249.15543476898 | -129.155434768982 |
61 | 1000 | 1244.88758791457 | -244.887587914571 |
62 | 1260 | 1236.79545672679 | 23.20454327321 |
63 | 1260 | 1237.56223388327 | 22.4377661167262 |
64 | 1150 | 1238.30367344958 | -88.3036734495806 |
65 | 1240 | 1235.38574316164 | 4.61425683836137 |
66 | 1360 | 1235.53821790316 | 124.461782096836 |
67 | 1350 | 1239.65096643881 | 110.349033561193 |
68 | 1280 | 1243.29736952369 | 36.7026304763074 |
69 | 1320 | 1244.51018109687 | 75.4898189031273 |
70 | 1210 | 1247.00468693569 | -37.0046869356865 |
71 | 1370 | 1245.78189412778 | 124.218105872215 |
72 | 1060 | 1249.88659056085 | -189.886590560853 |
73 | 1040 | 1243.611927093 | -203.611927092998 |
74 | 1260 | 1236.88371992062 | 23.1162800793816 |
75 | 1210 | 1237.64758048443 | -27.6475804844338 |
76 | 1200 | 1236.73398641374 | -36.7339864137418 |
77 | 1200 | 1235.52013870655 | -35.5201387065488 |
78 | 1290 | 1234.34640170881 | 55.6535982911867 |
79 | 1400 | 1236.18543414929 | 163.814565850713 |
80 | 1280 | 1241.59856663437 | 38.4014333656323 |
81 | 1280 | 1242.86751390622 | 37.1324860937846 |
82 | 1220 | 1244.0945297438 | -24.0945297438013 |
83 | 1350 | 1243.29834363549 | 106.701656364507 |
84 | 1000 | 1246.82422180926 | -246.824221809263 |
85 | 980 | 1238.66809597123 | -258.668095971234 |
86 | 1240 | 1230.12059797626 | 9.87940202373534 |
87 | 1190 | 1230.44705558857 | -40.4470555885662 |
88 | 1200 | 1229.1105122269 | -29.110512226898 |
89 | 1150 | 1228.14857664703 | -78.1485766470282 |
90 | 1270 | 1225.56621410366 | 44.433785896339 |
91 | 1410 | 1227.03449605174 | 182.965503948262 |
92 | 1420 | 1233.08045727581 | 186.919542724191 |
93 | 1260 | 1239.25707681853 | 20.7429231814654 |
94 | 1300 | 1239.94251153996 | 60.0574884600412 |
95 | 1410 | 1241.92706730926 | 168.072932690735 |
96 | 1000 | 1247.48091441124 | -247.480914411238 |
97 | 950 | 1239.3030886466 | -289.303088646601 |
98 | 1280 | 1229.74327973062 | 50.2567202693792 |
99 | 1330 | 1231.40397628511 | 98.5960237148877 |
100 | 1190 | 1234.66200975789 | -44.6620097578941 |
101 | 1170 | 1233.18618631928 | -63.1861863192767 |
102 | 1270 | 1231.0982450181 | 38.901754981895 |
103 | 1340 | 1232.38372505174 | 107.616274948263 |
104 | 1470 | 1235.93982612749 | 234.06017387251 |
105 | 1270 | 1243.67417333937 | 26.3258266606292 |
106 | 1280 | 1244.54409102192 | 35.4559089780764 |
107 | 1430 | 1245.71570559527 | 184.284294404729 |
108 | 980 | 1251.80524528518 | -271.805245285175 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 1242.823639802 | 1021.06826868834 | 1464.57901091567 |
110 | 1242.823639802 | 1020.94723175016 | 1464.70004785384 |
111 | 1242.823639802 | 1020.82626080348 | 1464.82101880052 |
112 | 1242.823639802 | 1020.70535574047 | 1464.94192386354 |
113 | 1242.823639802 | 1020.5845164536 | 1465.06276315041 |
114 | 1242.823639802 | 1020.46374283563 | 1465.18353676837 |
115 | 1242.823639802 | 1020.34303477963 | 1465.30424482438 |
116 | 1242.823639802 | 1020.22239217893 | 1465.42488742508 |
117 | 1242.823639802 | 1020.10181492717 | 1465.54546467684 |
118 | 1242.823639802 | 1019.98130291827 | 1465.66597668574 |
119 | 1242.823639802 | 1019.86085604644 | 1465.78642355757 |
120 | 1242.823639802 | 1019.74047420617 | 1465.90680539783 |