Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.0754804609554412
beta0.0688123430653692
gamma0.145742399878318


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1395.995.23283596705040.667164032949628
1482.882.41589665822140.384103341778626
1583.382.92469348713670.375306512863276
168079.39341772699140.60658227300857
1780.479.77062701152150.629372988478465
1867.566.75051477374720.749485226252816
1975.770.10546284806335.59453715193669
2071.178.3313164076358-7.23131640763584
2189.381.11772746452338.18227253547673
22101.1104.108334074047-3.00833407404703
23105.2103.5540132595261.6459867404744
24114.1109.8341717974754.2658282025245
2596.398.5504247616478-2.25042476164776
2684.485.1190236495592-0.719023649559205
2791.285.60357686317255.59642313682754
2881.982.4375712706993-0.537571270699274
2980.582.8062143801282-2.30621438012822
3070.469.17456296998021.22543703001980
3174.873.39724705266861.40275294733138
3275.979.7844650759951-3.88446507599514
3386.385.12454759502291.17545240497712
3498.7106.684221053253-7.98422105325315
35100.9106.372333849685-5.47233384968494
36113.8112.5398535609061.26014643909421
3789.899.8730401800989-10.0730401800989
3884.485.8313336836083-1.43133368360833
3987.287.02870951774120.17129048225884
4085.682.4993030290433.10069697095707
417282.8089361438132-10.8089361438132
4269.268.94690152202230.253098477977744
4377.572.96438223261544.53561776738461
4478.178.724978298194-0.624978298194009
4594.384.85828589999829.44171410000176
4697.7105.763165615604-8.06316561560416
47100.2105.695209545937-5.49520954593746
48116.4112.6794246370463.72057536295389
4997.198.571293424571-1.47129342457094
509386.23250699067956.76749300932048
519688.30545131510347.69454868489662
5280.584.7055128367741-4.20551283677415
5376.182.564714764164-6.464714764164
5469.970.3334361292525-0.433436129252485
5573.674.9911615105482-1.39116151054817
5692.679.671541637907212.9284583620928
5794.288.4472898447665.752710155234
5893.5107.194717238848-13.6947172388478
59108.5107.1019673498961.39803265010393
60109.4116.148772516106-6.74877251610637
61105.1100.2844070772004.81559292279955
6292.589.30424170281883.19575829718121
6397.191.29242788779965.8075721122004
6481.485.8464236098148-4.44642360981481
6579.183.3516892599446-4.25168925994457
6672.171.87901443838670.220985561613318
6778.776.59394246960982.10605753039022
6887.183.6827963425813.41720365741902
6991.490.8991243829170.500875617082926
70109.9106.8042996040563.09570039594412
71116.3110.1453828885606.15461711143966
72113118.769132691297-5.76913269129663
73100104.180827536405-4.18082753640485
7484.892.0380475987584-7.23804759875838
7594.393.5971713402140.70282865978595
7687.186.2451924326620.854807567337929
7790.384.11974565337126.1802543466288
7872.473.7941374110453-1.39413741104534
7984.978.78438588056436.11561411943569
8092.786.60120403572126.09879596427876
8192.293.8976216603754-1.69762166037536
82114.9110.5399002401344.36009975986578
83112.5114.566241004821-2.06624100482074
84118.3121.162805671396-2.86280567139642
85106106.642302070862-0.642302070862158
8691.294.0084018548739-2.80840185487386
8796.697.1623620908655-0.562362090865463
8896.389.5327411330766.76725886692391
8988.288.59615162711-0.396151627110029
9070.276.3665398557712-6.16653985577119
9186.582.22935120709774.27064879290229
9288.290.145222205961-1.94522220596106
93102.895.89687976270266.9031202372974
94119.1114.5643704534974.53562954650255
95119.2117.8464827272761.35351727272449
96125.1124.8560623739980.243937626001724
97106.1110.418087158746-4.31808715874625
98102.196.80817703578735.29182296421268
99105.2101.0963140162654.1036859837355
10010194.59265828443976.40734171556026
10184.392.636238706759-8.33623870675895
10287.578.54791775071348.95208224928658
10392.787.50795931434085.19204068565925
10494.495.1805074953356-0.780507495335584
105113102.78685145021410.2131485497857
106113.9122.718823778725-8.81882377872508
107122.9124.838131482188-1.9381314821876
108132.7131.9462066338510.75379336614887
109106.9116.182157130141-9.28215713014103
11096.6102.910309520757-6.31030952075689
111127.3106.34826458680920.9517354131912
11298.2101.132896397176-2.93289639717567
113100.296.28828998826013.91171001173991
11489.484.83543246155934.56456753844076
11595.393.48474176480081.81525823519918
116104.2100.5207504314233.67924956857736
117106.4110.575977702752-4.17597770275157
118116.2127.705656998035-11.5056569980346
119135.9130.733411243875.16658875612998
120134139.188646836532-5.18864683653229
121104.6120.753601953077-16.1536019530766
122107.1106.7725289546800.327471045320110
123123.5114.7441200004088.7558799995924
12498.8104.918906987847-6.11890698784731
12598.6100.547530009895-1.94753000989479
12690.688.26293807605672.33706192394331
12789.196.518502420977-7.41850242097696
128105.2103.1121033187842.08789668121581
129114111.9818864055642.01811359443602
130122.1128.781136471756-6.68113647175619
131138134.4175384340513.58246156594913
132142.2141.3395055863410.860494413658586
133116.4121.281615501989-4.88161550198879
134112.6110.002663151732.59733684826999
135123.8119.5178704676014.28212953239934
136103.6106.939765300306-3.33976530030630
137113.9103.19890477426410.7010952257364
13898.692.01761849626786.58238150373215
1399599.601517462436-4.60151746243601
140116108.1315736172097.86842638279057
141113.9117.960030852564-4.0600308525642
142127.5133.922164212146-6.42216421214579
143131.4141.399907179708-9.9999071797076
144145.9147.197977553068-1.29797755306834
145131.5125.3797315619046.12026843809555
146131115.53139782661115.4686021733894
147130.5126.9009249257753.59907507422508
148118.9112.5688220976046.3311779023956
149114.3111.4885688621432.81143113785735
15085.798.5039597334794-12.8039597334794
151104.6103.3601985123491.23980148765125
152105.1114.551508528088-9.45150852808788
153117.3121.684416224237-4.3844162242371
154142.5137.8090284008564.69097159914432
155140145.936978429468-5.93697842946821
156159.8153.5652458268116.23475417318915
157131.2132.348159955103-1.14815995510347
158125.4122.7903080820302.60969191796958
159126.5131.821789672770-5.32178967276957
160119.4116.6587465681872.74125343181279
161113.5114.661535221815-1.16153522181524
16298.798.7969112500533-0.0969112500532958
163114.5106.6851492314397.81485076856107
164113.8117.235502044247-3.43550204424663
165133.1125.8400375484897.2599624515108
166143.4144.957714999671-1.55771499967111
167137.3151.49431237477-14.1943123747700
168165.2160.5202727846804.67972721532024
169126.9137.303535637755-10.4035356377552
170124127.202626974008-3.20262697400842
171135.7134.8677426927280.8322573072723
172130120.7651057071629.23489429283825
173109.4118.618374126380-9.21837412638044
174117.8101.76275649238316.0372435076169
175120.3112.3454347389817.95456526101921
176121121.786312429892-0.786312429891609
177132.3132.543558005469-0.243558005468628
178142.9150.62853366763-7.72853366762996
179147.4155.155224560388-7.75522456038814
180175.9167.7474594552408.15254054475955
181132.6141.697494772399-9.09749477239902
182123.7132.338655230114-8.63865523011422
183153.3140.49372512146512.8062748785346
184134127.8650298341236.1349701658773
185119.6122.790403784752-3.19040378475178
186116.2109.1919454839377.00805451606345
187118.6118.3776381774150.222361822584546
188130.7126.3277973146324.37220268536844
189129.3138.000924457495-8.70092445749481
190144.4155.016682399648-10.6166823996484
191163.2159.4373825077003.76261749230017
192179.4175.6561363241613.74386367583855
193128.1145.814815896969-17.7148158969692
194138.4135.5148281678272.88517183217309
195152.7147.8852696660064.81473033399402
196120133.201586468767-13.2015864687667
197140.5125.12292618315415.3770738168465
198116.2113.8563408430522.34365915694816
199121.4121.952780204266-0.552780204265744
200127.8130.585659578754-2.78565957875357
201143.6140.0774228815363.522577118464
202157.6158.229649746253-0.629649746252994
203166.2165.5906246459500.609375354049632
204182.3182.0845083735760.215491626424296
205153.1147.9721588307095.1278411692912
206147.6141.9784100409085.62158995909178
207157.7155.4874897087732.21251029122649
208137.2137.448950487248-0.248950487248436
209151.5134.14434236670317.355657633297
21098.7120.613075888685-21.9130758886849
211145.8126.79761694652719.0023830534734
212151.7137.15445853713914.5455414628607
213129.4149.685219241002-20.2852192410020
214174.1166.4863489853707.61365101462951
215197175.21605484922621.7839451507737
216193.9194.636601696513-0.736601696512736
217164.1159.0471038831185.05289611688175
218142.8152.881948834189-10.0819488341889
219157.9165.676549288060-7.77654928806027
220159.2145.54508394281313.6549160571870
221162.2145.72271692137316.4772830786271
222123.1125.563638027374-2.46363802737426
223130140.015136307893-10.0151363078928
224150.1148.1937028730561.90629712694391
225169.4155.46165162481513.9383483751854
226179.7180.511521336569-0.811521336568518
227182.1191.415316212980-9.31531621297975
228194.3206.379110257327-12.0791102573266
229161.4168.728188593815-7.32818859381541
230169.4159.07220952569710.3277904743029
231168.8174.576852082780-5.77685208277958
232158.1156.4793809946321.62061900536807
233158.5156.0540759626052.44592403739512
234135.3131.0654719217004.23452807830043
235149.3145.6303499881173.66965001188274
236143.4157.071332800774-13.6713328007744
237142.2165.141905273146-22.9419052731463
238188.4185.8347888285882.56521117141241
239166.2195.874064125495-29.6740641254952
240199.2208.855213423628-9.65521342362817
241182.7170.94611949562911.7538805043706
242145.2164.701891098602-19.5018910986019
243182.1175.5512809736886.5487190263116
244158.7158.830764636220-0.130764636219794
245141.6158.081036694607-16.4810366946066
246132.6131.5351375076421.06486249235797
247139.6145.372698202468-5.77269820246832
248147153.222013245283-6.22201324528265
249166.6160.0755620770406.52443792296032
250157186.144982254351-29.1449822543510
251180.4188.837027777461-8.43702777746122
252210.2205.5527114131964.64728858680371
253159.8171.458398622834-11.6583986228344
254157.8159.015207908992-1.21520790899234
255168.2174.265920592401-6.06592059240054
256158.4155.6690829196052.73091708039533
257152152.647651348802-0.647651348802128
258142.2129.75318476884512.4468152311552
259137.2143.259107675992-6.05910767599235
260152.6150.7722842757811.82771572421908
261166.8159.7475388996567.05246110034437
262165.6180.698354700027-15.0983547000267
263198.6187.1263207293111.4736792706899
264201.5207.214128316498-5.71412831649809
265170.7170.0538168489230.64618315107731
266164.4159.9082193272894.4917806727108
267179.7175.1340225585054.56597744149488
268157158.386925147099-1.38692514709891
269168154.63400389290913.3659961070913
270139.3134.2503907526765.04960924732367
271138.6144.974503955605-6.37450395560478
272153.4153.791455120714-0.391455120713687
273138.9163.564208150216-24.6642081502156
274172.1179.103326021629-7.00332602162894
275198.4189.7496534671468.65034653285392
276217.8207.33255110787810.4674488921222
277173.7171.9098633184661.79013668153414
278153.8162.292610114483-8.49261011448337
279175.6176.581133624842-0.981133624841817
280147.1158.509455759079-11.4094557590793
281160.3155.8690047487754.43099525122517
282135.2133.7305546415871.46944535841308
283148.8142.3835618763376.41643812366257
284151152.813397235032-1.8133972350316
285148.2159.009787032605-10.8097870326053
286182.2177.8939904769234.30600952307728
287189.2191.547511503034-2.34751150303362
288183.1208.464412193103-25.3644121931027
289170169.5008091776040.4991908223964
290158.4158.3816320538450.0183679461547115
291176.1173.9498015728652.15019842713500
292156.2154.8186074360641.38139256393626
293153.2155.207642157460-2.00764215745963
294117.9132.353309114108-14.4533091141084
295149.8140.0982964588949.70170354110607
296156.6149.3171749656897.28282503431109
297166.7154.76572974496311.9342702550370
298156.8177.240271089512-20.4402710895122
299158.6187.761750279868-29.1617502798684
300210.8198.8078052911411.9921947088597
301203.6166.61116529620336.9888347037968
302175.2158.2776279810416.9223720189598
303168.7175.714405059563-7.01440505956339
304155.9155.8257450348680.0742549651322975
305147.3155.776615023442-8.47661502344232
306137130.7566756575046.2433243424957
307141.1143.687069540194-2.58706954019408
308167.4151.86512152812515.5348784718751
309160.2158.8219732805081.37802671949214
310191.9176.43966231422115.4603376857787
311174.4189.096550260132-14.6965502601316
312208.2207.9083656546120.291634345387564
313159.4177.490585575635-18.0905855756352
314161.1162.190382656486-1.09038265648621
315172.1175.013447861397-2.91344786139672
316158.4156.3071261416052.09287385839485
317114.6155.235345762939-40.6353457629387
318159.6129.87982848742529.7201715125748
319159.7143.36128570757916.3387142924211
320159.4155.5706238306573.82937616934296
321160.7159.7599927055240.94000729447626
322165.5179.319665823398-13.819665823398
323205185.47994418064619.5200558193542
324205.2209.029456781255-3.82945678125478
325141.6175.685047034729-34.0850470347292
326148.1161.430675030397-13.3306750303968
327184.9172.81329152602412.0867084739758
328132.5155.917198925-23.4171989249999
329137.3146.981489970683-9.68148997068278
330135.5133.3799733222932.12002667770696
331121.7142.584204036107-20.8842040361067
332166.1149.52264957892616.5773504210744
333146.8153.809689736714-7.00968973671411
334162.8169.607494808112-6.80749480811232
335186.8179.8583440344796.94165596552057
336185.5197.8576040439-12.3576040438998
337151.5161.267548450630-9.76754845063033
338158.1151.7115606323876.38843936761333
339143167.088154391356-24.0881543913558
340151.2143.5452335121917.6547664878089
341147.6138.8061461759228.79385382407759
342130.7128.4855528850352.21444711496531
343137.5134.2024676487713.29753235122871
344146.1147.615246453815-1.51524645381460
345133.6147.252161274955-13.6521612749548
346167.9161.7553458491116.14465415088901
347181.9174.2854766384147.61452336158573
348202189.09276910588312.9072308941172
349166.5155.71418540535510.7858145946449
350151.3150.1219096888151.17809031118546
351146.2160.869258858163-14.6692588581630
352148.3142.6903738742235.60962612577745
353144.7138.1393559134266.56064408657414
354123.6127.035205388819-3.43520538881944
355151.6132.44950006682119.1504999331786
356133.9146.492844078083-12.5928440780827
357137.4143.782992727413-6.38299272741304
358181.6161.53637433251720.0636256674827
359182175.5796949426196.42030505738052
360190191.30070031177-1.30070031177007
361161.2156.8364321042264.36356789577425
362155.5149.6349342103595.86506578964148
363141.9158.735187114784-16.8351871147838
364164.6143.29089793220421.3091020677962
365136.2140.230768655027-4.03076865502723
366126.8127.086133693249-0.286133693248814
367152.5135.97828647982516.5217135201749
368126.6145.747217413100-19.1472174131003
369150.1143.5045105936416.5954894063587
370186.3166.24574502787320.0542549721269
371147.5178.820459049232-31.3204590492318
372200.4190.6625632223869.73743677761405
373177.2157.81598934525719.3840106547429
374127.4152.036268159643-24.6362681596433
375177.1155.73046160135721.3695383986428
376154.4148.3395995754856.06040042451454
377135.2140.755226446009-5.55522644600893
378126.4127.998353906702-1.59835390670202
379147.3139.1932255243078.1067744756931
380140.6143.542221776613-2.94222177661291
381152.3146.1418363337236.15816366627732
382151.2171.064457327278-19.8644573272776
383172.2173.555411973667-1.35541197366652
384215.3193.4172701462121.88272985379
385154.1162.496053594127-8.39605359412732
386159.3148.63251344226710.6674865577334
387160.4161.545361181224-1.14536118122368
388151.9150.3581377187041.54186228129578
389148.4140.8381013798867.56189862011433
390139.6129.53814820039810.0618517996021
391148.2143.3397098405594.86029015944146
392153.5146.1465213039147.35347869608623
393145.1151.060318899433-5.96031889943262
394183.7172.15190213462811.5480978653715
395210.5180.08604287942130.4139571205789
396203.3207.238303697958-3.93830369795774
397153.3168.983678191185-15.6836781911848
398144.3156.956345105342-12.6563451053421
399169.6167.0572673517932.54273264820660
400143.7156.303219173420-12.6032191734197
401160.1146.3574323688513.7425676311499
402135.6135.5777666006030.0222333993969244
403141.8148.367365687373-6.56736568737313
404159.9150.7328359493639.16716405063664
405145.7154.082058602173-8.38205860217306
406183.5177.9442184768745.55578152312552
407198.2188.11186350667610.0881364933243
408186.8209.227402537999-22.4274025379993
409172167.5830751324784.41692486752248
410150.6157.254950644472-6.6549506444722
411163.3170.017244445381-6.7172444453808
412153.7156.276884726660-2.57688472665981
413152.9150.5036563959292.39634360407106
414135.5136.801781825397-1.30178182539714
415148.5148.599094607332-0.099094607332006
416148.4153.552637480464-5.15263748046357
417133.6153.310556948823-19.7105569488233
418194.1177.87401285190016.2259871480995
419208.6189.26207405644619.3379259435538
420197.3206.556548526833-9.256548526833
421164.4169.210519559140-4.81051955914026
422148.1156.556086862315-8.45608686231517
423152169.046528016972-17.0465280169716
424144.1154.978579659446-10.8785796594455
425155149.0937394733515.90626052664871
426124.5135.129908403824-10.6299084038238
427153145.9561696452077.04383035479299
428146150.502603038921-4.50260303892091
429138148.152089424049-10.1520894240486
430190177.71265130100512.2873486989951
431192188.8340018410983.16599815890208
432192200.472299877024-8.47229987702445
433147164.368288641132-17.3682886411324
434133150.364193581064-17.3641935810645
435163160.194424867492.80557513250983
436150148.5613652906721.43863470932777
437129145.752440032313-16.7524400323126
438131128.2185840421532.7814159578472
439145141.7395539271893.26044607281077
440137144.104710687596-7.1047106875962
441138140.643121127480-2.64312112747984
442168172.240937376648-4.24093737664813
443176180.094610093677-4.09461009367749
444188188.676334780369-0.676334780369046
445139153.479480209668-14.4794802096682
446143140.0436481589092.95635184109068
447150153.310711924240-3.31071192423963
448154141.38942876131312.6105712386875
449137137.033897157788-0.0338971577880898
450129123.8275139849735.17248601502693
451128137.059923483735-9.05992348373476
452140136.9414615963363.05853840366436
453143134.8667466500318.13325334996932
454151166.007828434087-15.0078284340870
455177172.6802276855434.31977231445731
456184181.9973544081422.00264559185834
457151146.3656846939234.63431530607733
458134137.046300187522-3.04630018752235
459164148.73138091024115.2686190897588
460126140.658736853849-14.6587368538486
461131132.755076320922-1.75507632092206
462125120.5073740176294.49262598237134
463127131.392057650653-4.3920576506533
464143133.1978412510319.80215874896928
465143132.3969120762210.6030879237800
466160159.9832892500160.0167107499840995
467190170.36673412545119.6332658745486
468182180.6938444990381.30615550096203
469138145.880962898054-7.88096289805372
470136134.8566520744211.14334792557946
471152149.3207797692352.67922023076454
472127136.550252906727-9.55025290672728
473151130.94569798219720.0543020178033
474130121.3881446757858.61185532421496
475119131.681550320279-12.6815503202795
476153134.98903969010118.0109603098986


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
477135.151601073994131.000321391756139.302880756231
478160.847118808214156.282918281663165.411319334765
479174.176650351491169.176766941744179.176533761238
480180.697626543404175.275004310943186.120248775865
481144.718396240073139.460979532342149.975812947803
482135.625274846243130.175441510890141.075108181596
483150.428828785048144.305842627938156.551814942157
484135.882174682901129.740078407166142.024270958637
485135.131309944456128.630480234669141.632139654243
486122.583049334962116.090909171625129.075189498299
487129.334822439710122.212881538455136.456763340964
488137.82725427407290.2473389036252185.407169644518