Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0753244389726097
beta0.0743497117620023
gamma0.143887003920222


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1395.995.3817040598290.518295940170901
1482.882.47406954375440.325930456245615
1583.382.97877053026230.32122946973773
168079.40574974849780.594250251502189
1780.479.77745544687080.622544553129217
1867.566.58394553189790.916054468102146
1975.770.15100764587585.54899235412422
2071.178.3814528413874-7.28145284138742
2189.381.21300659731588.0869934026842
22101.1103.476636607267-2.37663660726733
23105.2103.0471228928372.15287710716323
24114.1109.2791824571074.82081754289277
2596.398.3706600558605-2.07066005586051
2684.485.3077252355168-0.907725235516764
2791.285.77727278420565.42272721579442
2881.982.71181116461-0.81181116460995
2980.583.0604627821201-2.56046278212007
3070.469.7275119937280.672488006272033
3174.873.95253657865630.847463421343718
3275.980.1553384195549-4.25533841955489
3386.385.3101050786980.989894921301953
3498.7105.657749775832-6.95774977583179
35100.9105.470929814007-4.57092981400731
36113.8111.4989501682582.30104983174151
3789.899.4170748093222-9.61707480932225
3884.485.8315249720352-1.43152497203523
3987.286.99203057752120.207969422478783
4085.682.56322185749483.03677814250524
417282.8496131916392-10.8496131916392
4269.269.15650774175720.0434922582428072
4377.573.18799197912734.31200802087265
4478.178.8227978561815-0.722797856181529
4594.384.81126739667479.4887326033253
4697.7104.658998448065-6.95899844806523
47100.2104.706981692591-4.50698169259113
48116.4111.5718193931284.82818060687229
4997.198.0264512961416-0.926451296141593
509386.16511057565536.83488942434474
519688.19322200507587.80677799492423
5280.584.7825249040725-4.28252490407246
5376.182.69840156445-6.59840156445006
5469.970.8270144560965-0.927014456096472
5573.675.4000651704758-1.80006517047585
5692.679.917126419473312.6828735805267
5794.288.3615976465595.83840235344103
5893.5105.813170849918-12.3131708499181
59108.5105.8212587428752.67874125712525
60109.4114.546798467673-5.14679846767326
61105.199.50596981362975.59403018637029
6292.589.22648071407133.27351928592867
6397.191.15376059230135.94623940769868
6481.486.0221506542785-4.62215065427846
6579.183.6301169552013-4.53011695520131
6672.172.7064729310604-0.606472931060438
6778.777.22668453390131.4733154660987
6887.183.97475561003073.12524438996927
6991.490.79263575484060.607364245159374
70109.9105.4098239708494.49017602915066
71116.3108.7470600111727.55293998882813
72113116.894654216458-3.89465421645802
73100103.480296227977-3.48029622797719
7484.892.2608272747916-7.46082727479161
7594.393.72731448794920.572685512050768
7687.186.74690303184940.353096968150638
7790.384.73180515978075.56819484021929
7872.475.1373341218339-2.73733412183394
7984.979.80830677611495.09169322388514
8092.787.10353509725035.59646490274974
8192.293.8412151353293-1.6412151353293
82114.9108.8616984884876.0383015115128
83112.5112.787777999-0.287777998999516
84118.3118.842509855483-0.542509855482663
85106105.7753772363590.224622763640582
8691.294.3657203529248-3.16572035292479
8796.697.308983382073-0.708983382073043
8896.390.28003724160296.01996275839707
8988.289.4946140803101-1.29461408031014
9070.278.3486897784115-8.14868977841145
9186.583.69391687607082.80608312392917
9288.290.9115610551227-2.71156105512271
93102.896.04137011987326.75862988012685
94119.1112.7442506417036.35574935829712
95119.2115.8822754007143.31772459928608
96125.1122.2246009587352.87539904126531
97106.1109.586030976262-3.48603097626165
98102.197.49405364596534.60594635403467
99105.2101.4413665963753.75863340362481
10010195.76102717622965.23897282377041
10184.394.056014736406-9.75601473640597
10287.581.42586084172626.07413915827377
10392.789.4446339046443.2553660953561
10494.496.1092203073772-1.70922030737715
105113102.72735723958410.2726427604161
106113.9119.813835355396-5.91383535539576
107122.9121.7272503336591.17274966634101
108132.7127.9409387050814.75906129491889
109106.9114.700205818255-7.80020581825451
11096.6103.43806453785-6.83806453784959
111127.3106.42471035798620.8752896420142
11298.2102.340570652769-4.1405706527692
113100.297.99139540040712.20860459959286
11489.488.49306980157950.906930198420554
11595.395.8430703452157-0.543070345215668
116104.2101.6352157945412.56478420545876
117106.4110.267604481654-3.86760448165367
118116.2124.154336949683-7.95433694968334
119135.9126.8644383404429.03556165955823
120134134.199102005128-0.199102005127827
121104.6118.937694375548-14.3376943755477
122107.1107.298311445254-0.198311445254063
123123.5114.4966855631899.00331443681051
12498.8106.147842883308-7.34784288330833
12598.6102.341746917011-3.741746917011
12690.692.1286193075609-1.52861930756092
12789.198.995193784973-9.89519378497306
128105.2104.3369680823230.863031917676679
129114111.816397246392.1836027536101
130122.1125.480133134192-3.38013313419226
131138130.6858210247367.31417897526424
132142.2136.5430728839035.65692711609688
133116.4119.755351746186-3.35535174618593
134112.6110.7996475320651.80035246793537
135123.8119.359240394494.44075960551035
136103.6108.452077391352-4.85207739135211
137113.9105.2885908040358.6114091959651
13898.696.34442423084632.25557576915372
13995102.448083754534-7.44808375453407
140116109.484464229776.51553577022977
141113.9117.675931447071-3.77593144707137
142127.5130.227710935714-2.72771093571427
143131.4136.986251838805-5.58625183880486
144145.9141.659888013294.24011198670973
145131.5123.5670359507857.932964049215
146131116.21145928502614.7885407149744
147130.5126.237302791044.26269720896038
148118.9114.215949011244.68405098876039
149114.3113.7510947332260.548905266773886
15085.7103.497863850553-17.7978638505527
151104.6106.831518042338-2.23151804233829
152105.1116.179459739376-11.0794597393761
153117.3121.638571898801-4.33857189880092
154142.5134.2465297352058.25347026479454
155140141.472489434589-1.47248943458877
156159.8147.80700975042911.9929902495708
157131.2130.8765186682190.323481331780613
158125.4123.9043226923791.49567730762111
159126.5131.498427706537-4.99842770653666
160119.4118.7536697501890.646330249810788
161113.5117.33001186107-3.83001186106954
16298.7104.176914087738-5.47691408773758
163114.5110.4497102403234.05028975967666
164113.8119.068787682872-5.2687876828715
165133.1125.8701643534337.22983564656671
166143.4141.0973610697212.30263893027924
167137.3146.62022279027-9.32022279026961
168165.2154.15040507990111.0495949200988
169126.9135.586178042608-8.68617804260757
170124128.03077542472-4.03077542471965
171135.7134.2531021945411.44689780545858
172130122.689490658397.31050934161026
173109.4121.154185771239-11.7541857712387
174117.8107.12265691468410.6773430853158
175120.3115.9078871565264.39211284347357
176121123.342775254675-2.34277525467476
177132.3132.0738207088860.226179291114477
178142.9146.12503217166-3.22503217166027
179147.4149.661279337455-2.26127933745497
180175.9160.44904678998315.450953210017
181132.6139.630872397595-7.03087239759503
182123.7132.869164387094-9.16916438709445
183153.3139.45407986616213.8459201338383
184134129.6948402014744.30515979852581
185119.6125.470069318725-5.87006931872467
186116.2114.9726442597171.22735574028304
187118.6122.263292068495-3.66329206849461
188130.7128.2037043469962.49629565300376
189129.3137.6765086935-8.37650869349994
190144.4150.607832195131-6.20783219513137
191163.2154.0182072668859.18179273311478
192179.4168.05917362187811.3408263781216
193128.1143.951872953372-15.8518729533724
194138.4136.2034767088822.19652329111824
195152.7146.7325332145175.96746678548283
196120135.092242387971-15.0922423879709
197140.5127.92571442932812.5742855706717
198116.2119.738342107991-3.53834210799118
199121.4125.969070213638-4.56907021363833
200127.8132.605456933839-4.80545693383912
201143.6139.985430904143.61456909586028
202157.6154.0794532156983.52054678430238
203166.2160.2956041809065.90439581909439
204182.3174.384024844317.91597515569026
205153.1146.3886784692766.71132153072435
206147.6142.8554065741614.74459342583881
207157.7154.2066316025853.49336839741531
208137.2139.69267301151-2.49267301151002
209151.5137.34142204609514.1585779539053
21098.7127.323715800007-28.6237158000067
211145.8131.58137404616414.2186259538363
212151.7139.76030912541311.9396908745866
213129.4149.774481634233-20.3744816342331
214174.1162.1672908627911.9327091372096
215197169.49962079814427.5003792018564
216193.9185.7686993917058.13130060829465
217164.1157.9168148579126.18318514208764
218142.8154.366653117081-11.5666531170812
219157.9164.515982510186-6.61598251018637
220159.2148.58070506737710.6192949326226
221162.2149.64256417568512.5574358243155
222123.1134.01318271328-10.9131827132803
223130145.605246702785-15.6052467027849
224150.1151.367729385919-1.26772938591907
225169.4156.14695609289613.2530439071045
226179.7175.6187560452134.08124395478711
227182.1184.63455096641-2.53455096640997
228194.3196.09963901259-1.79963901259026
229161.4167.220307170115-5.82030717011466
230169.4160.3169602962939.08303970370676
231168.8172.708608296053-3.90860829605307
232158.1159.313768770815-1.21376877081482
233158.5159.719280564451-1.21928056445054
234135.3139.82938794936-4.52938794935955
235149.3151.213735539886-1.91373553988581
236143.4159.927491603588-16.5274916035877
237142.2165.416175238885-23.216175238885
238188.4180.6433329259427.75666707405759
239166.2188.799015287482-22.5990152874823
240199.2198.4814317420.718568258000431
241182.7168.90183401046513.798165989535
242145.2165.213976921336-20.0139769213365
243182.1173.2772987974998.82270120250138
244158.7160.863196420228-2.16319642022816
245141.6160.854355892029-19.2543558920289
246132.6138.722468924335-6.1224689243347
247139.6149.88279955737-10.2827995573697
248147155.522919797583-8.52291979758326
249166.6160.2705522934666.32944770653421
250157181.555512957908-24.5555129579079
251180.4182.768948090535-2.36894809053496
252210.2196.72129148475913.4787085152413
253159.8169.55826220591-9.75826220591003
254157.8159.18063453672-1.38063453671992
255168.2172.171810091403-3.97181009140328
256158.4156.9482764410411.45172355895852
257152154.573982923802-2.57398292380242
258142.2135.1753467580637.02465324193656
259137.2146.575707815325-9.37570781532492
260152.6152.3266419518580.273358048141517
261166.8159.5705388307777.22946116922259
262165.6176.676726135823-11.0767261358235
263198.6181.79546546133516.8045345386649
264201.5199.34605692232.15394307770021
265170.7168.2204270202372.47957297976296
266164.4159.9298588194.47014118100006
267179.7173.1003725009136.59962749908675
268157159.537309349504-2.53730934950443
269168156.44717705442611.5528229455736
270139.3139.589084951856-0.289084951856069
271138.6148.414898343717-9.81489834371675
272153.4155.57249153035-2.17249153035036
273138.9163.699903926979-24.7999039269786
274172.1175.920752047979-3.8207520479788
275198.4185.29911866761113.1008813323886
276217.8200.60425616853717.1957438314633
277173.7170.7219706851162.97802931488428
278153.8162.803587209743-9.00358720974319
279175.6175.2368639308350.363136069165392
280147.1159.947794057183-12.8477940571833
281160.3157.8573750413452.44262495865499
282135.2138.588160114225-3.38816011422546
283148.8145.7464328148563.05356718514437
284151154.795510298768-3.79551029876791
285148.2159.686391591131-11.4863915911307
286182.2175.6721556444626.52784435553843
287189.2188.1102153811731.0897846188272
288183.1203.016961886855-19.9169618868553
289170168.2012103140671.798789685933
290158.4158.3469349135430.053065086456968
291176.1172.506423860823.59357613917956
292156.2155.5188720384260.681127961574077
293153.2156.373535341611-3.17353534161109
294117.9135.765706907933-17.8657069079327
295149.8142.4696507978947.3303492021061
296156.6150.7326846693965.86731533060401
297166.7155.18533728815611.5146627118439
298156.8175.286416123188-18.486416123188
299158.6184.962675665886-26.3626756658861
300210.8194.69882751908216.1011724809179
301203.6165.37925933245638.2207406675438
302175.2158.13403910419217.0659608958078
303168.7174.239212497778-5.53921249777815
304155.9156.318230836684-0.418230836683591
305147.3156.713060514289-9.4130605142886
306137133.7813573529573.21864264704291
307141.1145.644742463477-4.54474246347695
308167.4152.9711016367814.4288983632204
309160.2159.0204361430861.1795638569144
310191.9174.49395453977117.4060454602288
311174.4186.169409628363-11.7694096283628
312208.2203.0798251969525.1201748030476
313159.4176.239874269589-16.8398742695886
314161.1162.088040230811-0.988040230810782
315172.1173.780020381115-1.68002038111496
316158.4156.8069888415161.59301115848351
317114.6156.143744790002-41.5437447900019
318159.6132.27968752707227.3203124729278
319159.7144.86782491487614.8321750851243
320159.4156.2288936889653.171106311035
321160.7159.6551198289041.04488017109648
322165.5177.264339327424-11.7643393274238
323205182.68436023190822.3156397680923
324205.2204.4238079750440.776192024956288
325141.6174.325019142401-32.7250191424015
326148.1160.98687878748-12.8868787874801
327184.9171.52504668374713.3749533162529
328132.5156.04033683494-23.5403368349404
329137.3147.522729784611-10.222729784611
330135.5135.1336847570540.366315242946087
331121.7143.832538394001-22.1325383940011
332166.1150.45329697018615.6467030298135
333146.8154.201743585898-7.40174358589752
334162.8169.088565583847-6.2885655838474
335186.8179.104103441757.69589655824987
336185.5196.443411135034-10.9434111350338
337151.5160.505801568835-9.00580156883541
338158.1151.2278222012736.87217779872691
339143166.493176272817-23.493176272817
340151.2142.8581270729968.3418729270036
341147.6138.2307394522829.3692605477176
342130.7128.552850088262.14714991174031
343137.5134.2289122970033.27108770299665
344146.1147.768450139479-1.66845013947932
345133.6147.027886354299-13.4278863542992
346167.9161.4569628823396.44303711766145
347181.9174.2114822183527.68851778164824
348202188.98962013308213.0103798669176
349166.5155.16758614857911.3324138514212
350151.3149.7014917107261.59850828927424
351146.2160.667375611316-14.4673756113159
352148.3142.1361922250566.16380777494425
353144.7137.6576253003167.04237469968373
354123.6127.006729609647-3.40672960964676
355151.6132.54604202796319.0539579720366
356133.9146.83766025704-12.9376602570404
357137.4143.84100328795-6.44100328794966
358181.6161.63662687757719.9633731224228
359182175.8474478285196.15255217148146
360190191.481535580967-1.48153558096652
361161.2156.5270732763554.67292672364474
362155.5149.409395268566.09060473143956
363141.9158.746377594347-16.8463775943467
364164.6142.93790837672721.6620916232729
365136.2139.987386125708-3.78738612570817
366126.8127.313606439873-0.513606439873229
367152.5136.25851409449516.2414859055047
368126.6146.265392239242-19.6653922392418
369150.1143.7722214513396.3277785486612
370186.3166.26010294325320.0398970567466
371147.5178.856989558717-31.3569895587165
372200.4190.6577340077859.74226599221484
373177.2157.43814734888819.7618526511122
374127.4151.800763133638-24.4007631336375
375177.1155.77360861568121.3263913843187
376154.4148.1621143709196.23788562908089
377135.2140.775496221925-5.57549622192477
378126.4128.504332689485-2.10433268948498
379147.3139.6514881195957.64851188040515
380140.6144.278438217088-3.67843821708757
381152.3146.5820682026915.71793179730858
382151.2170.979211185298-19.779211185298
383172.2173.646267966007-1.44626796600662
384215.3193.24355376848222.0564462315179
385154.1162.42891005253-8.32891005252992
386159.3148.78679420546410.5132057945358
387160.4161.655960293943-1.25596029394313
388151.9150.3919891005351.50801089946489
389148.4141.1068841502917.29311584970915
390139.6130.3684890592999.23151094070087
391148.2143.8322128028594.36778719714061
392153.5146.8517318963446.64826810365594
393145.1151.387948948841-6.28794894884072
394183.7171.62571237350512.0742876264947
395210.5179.44700370862731.0529962913733
396203.3205.117005055233-1.81700505523315
397153.3168.825391120635-15.5253911206353
398144.3157.471841566143-13.1718415661434
399169.6167.1821431712112.4178568287889
400143.7156.774289693994-13.0742896939945
401160.1147.29046285239312.8095371476074
402135.6137.38636459677-1.78636459677031
403141.8149.472230858216-7.67223085821561
404159.9151.9199996664347.98000033356635
405145.7154.874580845336-9.17458084533581
406183.5177.3610179094956.13898209050507
407198.2187.25012433163810.9498756683622
408186.8206.909765079185-20.1097650791855
409172167.191138921434.80886107857046
410150.6157.571035301468-6.9710353014677
411163.3169.745969310568-6.44596931056776
412153.7156.482970675534-2.78297067553416
413152.9151.149507672931.75049232706954
414135.5138.339855399218-2.83985539921773
415148.5149.426790202806-0.926790202806416
416148.4154.366472456479-5.96647245647861
417133.6153.811348286886-20.2113482868856
418194.1177.26528964659816.834710353402
419208.6188.42142072232520.1785792776753
420197.3204.516735881192-7.21673588119171
421164.4169.029843902297-4.62984390229744
422148.1157.023794817004-8.9237948170044
423152169.002882294934-17.0028822949341
424144.1155.254309845245-11.1543098452449
425155149.6688319534885.33116804651152
426124.5136.313584612084-11.8135846120839
427153146.7242860722356.275713927765
428146151.321482552468-5.32148255246798
429138148.708803775667-10.7088037756675
430190177.64979551874412.350204481256
431192188.7302596841133.26974031588719
432192199.629545156666-7.62954515666601
433147164.175962359629-17.1759623596293
434133150.303537227622-17.3035372276222
435163160.1795412412482.82045875875193
436150148.4163428065431.58365719345682
437129145.769101648067-16.7691016480674
438131128.1296894641882.8703105358116
439145141.7970557114623.20294428853779
440137144.346445157159-7.34644515715863
441138140.579760749587-2.5797607495868
442168172.961867018186-4.96186701818618
443176181.19403625308-5.19403625307993
444188189.622127547596-1.62212754759554
445139153.001026292929-14.0010262929288
446143139.0186740075323.98132599246753
447150152.962520781902-2.96252078190236
448154140.35387992899213.6461200710079
449137135.9956907993271.00430920067254
450129122.2298545386226.77014546137795
451128136.178874201569-8.17887420156859
452140136.3472528365293.65274716347074
453143133.9847792182479.01522078175321
454151166.929771729927-15.929771729927
455177174.2499128852792.7500871147214
456184183.7411318692130.258868130786823
457151145.6147551193555.38524488064542
458134135.593800201548-1.59380020154805
459164148.27121765540715.7287823445926
460126139.462310625354-13.4623106253537
461131131.410461968137-0.410461968137071
462125118.3275187441186.67248125588215
463127130.302008191566-3.30200819156576
464143132.46100451368910.5389954863109
465143131.41835726167311.5816427383273
466160161.339788623503-1.33978862350315
467190172.42797959560817.572020404392
468182182.970941515961-0.970941515960732
469138145.693843747809-7.69384374780898
470136133.9457682411872.05423175881336
471152149.4097586357892.59024136421053
472127135.860816396765-8.86081639676465
473151130.0513332358920.9486667641101
474130119.79847784750310.2015221524967
475119131.010306751809-12.0103067518089
476153134.60472496724618.3952750327535


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
477134.586409164776114.814870639324154.357947690229
478162.14525628071142.309083263991181.98142929743
479176.087040169628156.177234177619195.996846161637
480182.977351949697162.984400669025202.970303230368
481145.022424568521124.936323405228165.108525731814
482135.337450266373115.147725827717155.527174705029
483150.893114851834130.588850250796171.197379452872
484135.786101040228115.355962877219156.216239203236
485134.820379779293114.252646622768155.388112935817
486121.652573324972100.935165483224142.369981166721
487129.176479261339108.296989612719150.05596890996
488137.824013129657116.7697387586158.878287500714