Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.56728835558198
beta0.00329044345405485
gamma0.141775664580356


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13257.3237.55777243589819.7422275641025
14234.5225.0851707578199.41482924218084
15251.4246.5090302733784.89096972662193
16243.8242.0173532622121.78264673778784
17247.4248.378188356430-0.97818835642974
18245.3248.8501746007-3.55017460069990
19262.5267.039809467888-4.53980946788755
20270240.12622851959829.8737714804018
21259.9278.340834602863-18.4408346028631
22262.2264.708538364076-2.50853836407572
23244.9284.051432412293-39.1514324122925
24249.3261.817491437151-12.5174914371513
25268.2269.847121979575-1.64712197957522
26231.2244.537267798799-13.3372677987992
27264.3252.66436966030211.6356303396983
28252.7251.7085322351060.991467764894423
29275.5257.35005371077218.1499462892280
30261.5268.450011654005-6.95001165400538
31275.5284.578490023896-9.078490023896
32272.3257.12114369168315.1788563083169
33268.6283.927833540707-15.327833540707
34270.4272.937073146843-2.53707314684266
35267.7289.913911299981-22.213911299981
36275278.852082538726-3.85208253872577
37272.6292.410264189157-19.8102641891568
38248.6255.991490543257-7.39149054325674
39279.4268.94668450820410.4533154917963
40270.5266.5880138315293.91198616847129
41292.8274.86527900895117.9347209910488
42297.8284.22923826402113.5707617359790
43296.8311.832567130863-15.0325671308625
44290.9282.4387999038448.46120009615629
45282.8303.503696893897-20.7036968938974
46312.8290.17850350944622.6214964905537
47303.2320.197877081697-16.9978770816970
48301.4313.20874743637-11.8087474363704
49289.8321.246593885993-31.4465938859929
50279.6278.9392022343690.660797765630718
51302.2297.5228087024234.67719129757688
52299.1291.4410310838447.6589689161562
53319.7302.66609504349517.0339049565046
54310.9311.211542903907-0.311542903907366
55315.2329.119163536892-13.9191635368923
56338.5301.73470871281136.7652912871891
57315.6337.056209103157-21.4562091031574
58321.2325.949862379204-4.74986237920444
59318.5337.947946941497-19.4479469414969
60342.7329.81942317531912.8805768246813
61261.4350.636738749326-89.2367387493262
62287277.3857668620859.61423313791533
63331.5301.18203570763530.3179642923650
64326.9309.76384303077417.1361569692256
65338.6326.89297617733811.7070238226624
66337331.2951322394395.70486776056094
67358.4351.734916993026.66508300698024
68344.5339.1294021483055.37059785169464
69345.7353.00303238076-7.30303238076004
70344.1350.910682747007-6.81068274700698
71317.4360.79430741056-43.3943074105602
72354.5340.97620016190013.5237998380996
73345.2355.806536499326-10.6065364993258
74314.1333.285462770539-19.1854627705391
75352.5342.01996568766810.4800343123325
76361.2338.508073089422.6919269106000
77365.9358.4350380611487.4649619388515
78332.5360.033757884085-27.5337578840845
79364361.5857766232502.41422337674959
80359.1346.39066177792112.7093382220788
81345.6363.564948275256-17.9649482752561
82366.9355.34949664182411.5505033581755
83370.2373.33422449328-3.13422449327976
84359.9379.851502751993-19.9515027519928
85366.6374.153354617583-7.55335461758278
86336.3352.785727075196-16.4857270751961
87368.5364.8244278369033.67557216309729
88374.2358.14166750632416.0583324936758
89384.3373.29899504085811.0010049591422
90358.9374.690837569953-15.7908375699535
91407.7384.69791361155723.0020863884425
92433.3381.80825532014251.4917446798577
93404.7419.168553363316-14.4685533633158
94392.7414.820815196142-22.1208151961422
95409.7412.814001789436-3.11400178943649
96416.5418.321767913885-1.82176791388520
97414.3423.71357193791-9.41357193791015
98404.3400.7837727567793.51622724322141
99421.4425.484631548477-4.08463154847738
100372.6415.223197183808-42.6231971838078
101404.7396.7353245159487.96467548405184
102420.2394.7098046449925.4901953550099
103438.4430.5407913569397.85920864306127
104449.1420.80606553646528.2939344635352
105445.8440.9142107975934.88578920240667
106413.8447.066868323186-33.2668683231865
107420.5439.872606172274-19.3726061722741
108442.3436.175530267156.12446973285006
109438.9445.563432193392-6.66343219339183
110394.5424.94613749682-30.4461374968199
111416.8429.810014882748-13.0100148827476
112402.9412.000160881785-9.10016088178475
113424.5415.5746649039698.92533509603135
114432.3415.11274920317117.1872507968288
115484.1445.07992608486639.0200739151341
116492.7454.26217063929938.4378293607006
117496.3478.69386699286617.6061330071336
118471.9489.750863195874-17.8508631958742
119491.2492.211906420162-1.01190642016206
120512.9500.58670869657812.3132913034216
121482.4512.804370196989-30.404370196989
122407.9477.319206441372-69.4192064413721
123448.5461.130147815319-12.6301478153187
124431.1443.762719961972-12.6627199619720
125498.8446.40247384013952.3975261598605
126497.1471.1702446299525.9297553700501
127517.1507.5142280565159.58577194348499
128487.7499.985959246196-12.2859592461957
129512.5494.2929188285918.2070811714100
130550.1503.44499291536446.6550070846361
131532.5543.58229194107-11.0822919410704
132524.1547.092748790128-22.9927487901282
133515.7536.626152295404-20.9261522954038
134461504.107171800283-43.1071718002826
135529.3506.36041500932122.9395849906786
136467.4509.267576576267-41.8675765762673
137559.8499.37484786571260.425152134288
138536.5527.1316154596079.36838454039253
139531.9553.105704086377-21.2057040863767
140546.5526.73837503217119.7616249678289
141547.4541.126435524576.27356447543048
142536.1545.261905000425-9.1619050004249
143482.8550.09658113218-67.2965811321795
144551520.78544063048030.2145593695195
145532.9540.527627184922-7.62762718492252
146484.1514.114922974416-30.0149229744163
147554.8527.7944586618127.0055413381905
148537528.9873680353668.0126319646339
149558553.7146277138744.28537228612606
150511.4546.435004633779-35.0350046337787
151502.9545.204306642029-42.3043066420286
152558.6509.20226328709349.3977367129074
153545.1539.4514135871815.64858641281853
154574.3542.16057278340632.1394272165935
155542.2566.810830449127-24.6108304491273
156600567.72887106534232.2711289346578
157588.6586.3519629166682.24803708333229
158524.4564.222405937411-39.8224059374110
159618.5575.87226744086642.6277325591337
160580.9584.827354534548-3.92735453454804
161557.2602.595318704834-45.3953187048338
162571.2564.6702365671216.5297634328789
163597.5586.60042072793310.8995792720668
164601.7586.53299974368115.1670002563191
165558.9594.74257589127-35.84257589127
166600.9575.52503887302225.3749611269775
167601592.829350633598.17064936641054
168615.7615.86769795707-0.167697957069777
169578.1614.220375248978-36.1203752489783
170495.9567.645918626944-71.7459186269436
171526.8566.086493877123-39.2864938771228
172522.1525.406031225178-3.30603122517789
173605.1540.67314644321764.4268535567827
174574.4568.1300575996866.26994240031388
175609.7590.07609753845319.623902461547
176580.7595.13113610221-14.4311361022104
177565.1583.276905794592-18.1769057945920
178590.7577.72565143953912.9743485604612
179571.5586.805824368568-15.3058243685676
180601.3595.8369129128865.46308708711365
181567.3595.010967598593-27.710967598593
182467.9550.869934879292-82.9699348792923
183588.9544.76204551194644.137954488054
184579.4553.5978212593125.8021787406894
185502.6589.570486567377-86.9704865673772
186568.7527.32856346993341.3714365300672
187616569.82695523345246.1730447665481
188586.2587.72380710631-1.52380710630939
189575.5582.856053928949-7.35605392894865
190599.9585.26870302024814.6312969797515
191568.2593.471298519498-25.2712985194977
192516598.022005085621-82.0220050856209
193493.4545.267106780469-51.8671067804695
194496.8483.72294329559413.0770567044059
195529.9539.768882220189-9.86888222018888
196491.7516.61121076547-24.9112107654701
197543.2516.57058746907426.6294125309261
198490.8526.532333247061-35.7323332470606
199554.7525.32755005292329.3724499470773
200625.7530.47848089644795.2215191035527
201605580.02698226005124.973017739949
202645.2602.08031735626343.1196826437372
203645.2624.00117644123121.1988235587688
204611.8651.524121212993-39.7241212129935
205600.3624.785036865392-24.4850368653923
206549.8582.980483143927-33.1804831439266
207635.5611.51291265098723.9870873490131
208617.7606.83725991231610.8627400876836
209643.5630.51821018140312.9817898185967
210485.7629.152090891993-143.452090891993
211689.5570.872157131942118.627842868058
212692630.90191392260261.0980860773975
213677.3656.92486295078920.3751370492105
214704.7677.61643017742327.0835698225774
215668.6689.19875030466-20.5987503046598
216717.8689.29825942054828.5017405794515
217689.8702.350492475866-12.5504924758657
218640.4666.95778952681-26.5577895268093
219675.2702.941643935585-27.7416439355854
220528.1668.206506573379-140.106506573379
221538606.183331308767-68.1833313087672
222527.2548.833746643942-21.6337466439423
223655.6575.62287111999279.9771288800077
224650.6610.00990217582940.5900978241707
225623.7621.6750654083032.02493459169716
226748.4632.108500059479116.291499940521
227727.4691.27891911761536.1210808823851
228750.5726.57971194601323.9202880539872
229678.9734.518484811964-55.6184848119641
230659.5673.758115993793-14.2581159937932
231691.9716.593387914556-24.6933879145562
232639.8676.646406228238-36.8464062282378
233663.8677.75884648375-13.9588464837506
234572.9654.272142156711-81.3721421567114
235592.5653.540721513023-61.0407215130231
236734.8605.385154073174129.414845926826
237696.1665.11097144715330.9890285528469
238589.2699.07679141691-109.876791416909
239662.9624.69547547777438.2045245222256
240661.2660.1027730689061.09722693109393
241672.1649.84522923385122.2547707661487
242583.7635.57467044616-51.87467044616
243705.5656.1359537982549.36404620175
244631657.299194453874-26.2991944538736
245733.3665.66260391644467.6373960835557
246674.9684.344691497119-9.4446914971188
247695.5725.814292840853-30.3142928408531
248634.1706.98101517663-72.8810151766294
249630.6645.73838947546-15.1383894754601
250635.2644.638594330689-9.43859433068872
251554.1636.250434429669-82.150434429669
252623.9600.81189590175423.0881040982464
253679.3604.07513046264275.2248695373576
254565.6615.152713196581-49.5527131965810
255564.1643.092853798095-78.992853798095
256637.2566.41018488338470.7898151166165
257650.8635.40636058595115.3936394140492
258602.7619.417304626103-16.7173046261029
259587.5655.162315752674-67.6623157526742
260619.2612.1422285970667.05777140293378
261616.5599.55122682339216.9487731766081
262637.9616.82455884697421.0754411530264
263557.9621.163672305823-63.2636723058231
264594602.80854139483-8.80854139483017
265668.7591.02912196689777.6708780331026
266603.3595.6974661500217.60253384997918
267674.5654.21972947141320.2802705285872
268573.4643.192428342542-69.7924283425418
269706628.9270917403177.0729082596897
270693.7645.96075852663747.7392414733634
271627.5715.26889399586-87.7688939958599
272550.7665.512023941018-114.812023941018
273592.3584.2505318373798.04946816262145
274660.2596.56997526753763.6300247324631
275597.3619.796628579658-22.4966285796578
276641627.90583063613413.0941693638657
277663.6633.89473745216329.7052625478374
278595.9607.002496686735-11.1024966867346
279638.4655.604753795603-17.2047537956025
280665.4617.63027221647647.7697277835236
281671.4679.129330365533-7.72933036553297
282637646.160679647056-9.1606796470561
283685.7674.67535702827211.0246429717284
284705.8679.2866347978726.5133652021298
285704.8685.98126314566118.8187368543391
286734.4708.0864128359426.3135871640607
287674.2705.057203971865-30.8572039718649
288748.6710.78838106956537.8116189304354
289763.4732.045813084631.3541869153999
290658703.816139059586-45.8161390595858
291627.5732.517217166384-105.017217166384
292528.9648.715714748592-119.815714748592
293488.3611.429841411837-123.129841411837
294575.5512.38169786489863.1183021351021
295735.6582.746330591188152.853669408812
296685.3668.63910956956116.6608904304389
297613.6669.12744705585-55.52744705585
298629.5649.232842693205-19.7328426932054
299634.7616.20494251699418.4950574830063
300652.6653.868123692042-1.26812369204208
301728.3652.20932212439476.0906778756063
302634.3644.356801052261-10.0568010522609
303690.7689.5115243138231.18847568617673
304676.3665.04931927190711.2506807280934
305675.4702.155125889108-26.7551258891077
306595.6669.627634725998-74.0276347259983
307712.4667.86250823449444.5374917655063
308735.8683.91789282475651.8821071752443
309544.4699.988216596672-155.588216596672
310567625.369461980383-58.3694619803828
311510572.539774243617-62.5397742436173
312564562.6402578204871.35974217951332
313630.7566.84277560062963.8572243993708
314496.7546.367304944784-49.6673049447845
315660.9569.26930746642991.6306925335713
316601.2596.4280188905974.77198110940321
317655.2627.21166584960927.9883341503914
318591.6622.626325633493-31.0263256334931
319606.1652.39623622629-46.2962362262904
320560.7617.070893012999-56.3708930129985
321368.3558.4982075775-190.1982075775
322371.6469.64072107023-98.0407210702298
323413.9393.40703686286220.4929631371378
324413.9434.043010324258-20.1430103242583
325389429.353102176357-40.3531021763567
326399.2342.07304474062257.1269552593782
327429.8433.703098457717-3.90309845771668
328395.6400.636233928384-5.03623392838369
329472426.56000059579745.4399994042031
330486427.56686194942858.4331380505724
331525506.62879945459518.3712005454047
332396506.970683500652-110.970683500652
333511408.712422783838102.287577216162
334525491.47664033139533.5233596686046
335492497.439359276153-5.43935927615337
336517521.112717149882-4.11271714988197
337525524.5481058332530.451894166747138
338474466.7439667277627.25603327223848
339539526.59318032194912.4068196780513
340468502.99409522082-34.9940952208205
341543515.24867913253327.7513208674675
342532507.21399183863524.7860081613653
343565564.8637085186860.136291481313947
344535547.025362853983-12.0253628539826
345534518.26437373244215.7356262675577
346546547.832350590095-1.83235059009462
347494531.40412576824-37.4041257682402
348552537.0221873441614.9778126558405
349511551.599632643034-40.5996326430342
350451470.880424240462-19.8804242404617
351537515.55634173434121.4436582656592
352494494.097577858952-0.0975778589520928
353549529.98477155538219.0152284446182
354544516.7828949983627.2171050016401
355598574.27468240565423.7253175943462
356583569.09120377365313.9087962263471
357582556.81303136608725.1869686339135
358589590.750116568522-1.75011656852212
359578572.2716708492275.72832915077345
360561605.737695640775-44.7376956407754
361592583.0840952361958.91590476380486
362504531.872414284569-27.8724142845693
363545574.681657881906-29.6816578819062
364547522.93509404164424.0649059583559
365585573.78352585480811.2164741451920
366562556.7277282998415.27227170015851
367520601.582343250151-81.5823432501506
368581535.88635068309145.113649316909
369590541.88998868204648.1100113179542
370562587.109069633081-25.1090696330808
371548555.725103208247-7.72510320824733
372567578.325004989015-11.3250049890153
373542577.841785352247-35.8417853522467
374473498.823363196379-25.8233631963786
375531542.528505312871-11.5285053128712
376462504.255631079634-42.2556310796338
377479516.447547586356-37.4475475863564
378533471.08429305490961.9157069450911
379552542.5131870317279.48681296827294
380547536.19167517811810.8083248218818
381562522.79355295739339.2064470426071
382524558.328713267186-34.328713267186
383479522.622622420933-43.622622420933
384445524.412026270279-79.4120262702793
385406483.447277443626-77.4472774436263
386475381.01099212149693.989007878504
387589493.35474132337895.6452586766223
388495513.98878554003-18.9887855400302
389484539.711646646164-55.7116466461637
390536490.08599195908145.9140080409194
391555549.1939079524835.80609204751715
392565540.83157378322124.1684262167786
393564536.74572306278127.2542769372189
394573560.95808663929912.0419133607010
395569551.04267037890017.9573296211005
396588585.7403239153722.2596760846277
397546591.550232681781-45.5502326817808
398508518.108297879944-10.1082978799441
399560571.688412621305-11.6884126213052
400558524.38834280984633.611657190154
401516577.783729792184-61.7837297921841
402549531.02242803762517.9775719623746
403595571.84408875040123.1559112495987
404586574.50528208023611.4947179197638
405597563.45012277205533.5498772279451
406592590.3434386918081.65656130819173
407538574.922825773088-36.9228257730879
408590577.44553967870812.5544603212923
409576586.102687675944-10.1026876759443
410451534.95036037407-83.9503603740698
411538546.412297076069-8.41229707606863
412555503.62441359637751.3755864036229
413532561.152531385644-29.1525313856439
414530537.764408718264-7.76440871826389
415553564.221258822454-11.2212588224543
416626546.5217583615879.4782416384196
417601575.36926518139225.6307348186076
418573595.782136435226-22.7821364352257
419569564.0539324912324.94606750876824
420562593.364832499196-31.3648324991963
421468575.636244606466-107.636244606466
422483464.36093926891418.6390607310864
423460538.583342864103-78.5833428641025
424411459.453699975417-48.4536999754168
425458455.020836080862.97916391913964
426455450.8439936036454.15600639635494
427600483.544562085717116.455437914283
428605543.77059783919561.2294021608045
429545558.860052510653-13.8600525106527
430549553.724251170765-4.72425117076466
431415533.798875101101-118.798875101101
432568490.30985415788977.6901458421113
433577529.59809823676847.4019017632316
434517514.1405717060962.85942829390444
435558573.537229333313-15.5372293333132
436518532.229242990186-14.2292429901864
437489550.638639497854-61.6386394978542
438502510.028271065346-8.02827106534579
439569542.83464524429526.1653547557055
440540548.412085242089-8.41208524208855
441550519.21807653614730.7819234638526
442557539.88086929354117.1191307064587
443542525.3027730602116.6972269397901
444542570.940270378328-28.9402703783284
445582547.88811143361734.1118885663834
446525522.1418298859962.85817011400422
447584580.3922791414453.60772085855535
448562550.04408215577811.9559178442217
449639580.46726247723658.5327375227638
450613611.6096380304751.39036196952543
451604652.166417332685-48.1664173326847
452613613.625916880878-0.62591688087798
453625591.43878245460833.5612175453922
454654613.03063787964940.9693621203512
455638612.19172307306425.8082769269364


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
456660.450157413051576.618082692342744.282232133761
457657.98973306556561.530470039328754.448996091793
458611.217281097347503.532930729197718.901631465496
459668.129431281383550.220757308338786.038105254428
460636.477151139006509.103501394086763.850800883926
461663.183344902744526.945530614078799.42115919141
462657.714024261582513.102162539662802.325885983502
463694.538077353688541.961404336201847.114750371174
464686.424465491514526.231011157285846.617919825743
465666.877013640742499.367179564691834.386847716793
466670.009105026937495.445376763564844.57283329031
467645.046820698663463.660922887495826.432718509832