Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.807938941869162
beta0
gamma0.600779678189444


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
138366.047542735042716.9524572649573
1410097.04479242047382.95520757952619
15101100.4414523393130.558547660687452
169897.56842404597120.43157595402883
179291.00947703297140.990522967028625
188584.11045841154890.889541588451124
1992102.25485300197-10.25485300197
209486.06192388590057.93807611409947
219089.27610400270220.723895997297788
229987.953333736148311.0466662638517
23108101.8873982225796.11260177742095
24106115.001706535395-9.00170653539541
2599127.818992603921-28.8189926039206
26100120.220613533565-20.220613533565
2799104.616083151549-5.61608315154851
289396.7396793676543-3.73967936765428
299286.87510761661895.12489238338107
309383.30475517094879.69524482905135
3198107.277708963151-9.27770896315106
329593.97346881283121.02653118716879
338690.7711245013165-4.77112450131645
348586.1998202873826-1.19982028738261
358389.6701475447815-6.67014754478146
368590.7127895630909-5.71278956309091
3780103.90067481544-23.9006748154397
3884101.268132055671-17.2681320556711
398689.7341903373465-3.73419033734646
408783.59475248381873.40524751618128
418580.5256962498194.47430375018099
428376.95706433946266.04293566053744
437695.7899548574713-19.7899548574713
447075.1814308593996-5.18143085939958
457866.294461754397311.7055382456027
468375.44737487335667.55262512664342
478885.35794235387422.64205764612581
489094.034743653132-4.03474365313203
4990106.479753290588-16.4797532905878
5097110.608167119167-13.6081671191671
51102103.592886150356-1.59288615035553
52101100.0072852300120.992714769988112
539895.11240437143052.8875956285695
549890.44280793902527.55719206097477
55100107.518361431118-7.51836143111821
5610298.51016035243923.48983964756076
5710898.57757461145279.42242538854727
58112105.4066823303716.59331766962924
59110113.975575350398-3.97557535039795
60110116.535321312214-6.53532131221441
61117125.52403226193-8.52403226192958
62120136.411524855388-16.4115248553878
63119128.517701787537-9.51770178753685
64113118.827676838905-5.82767683890491
65123108.64097944482414.3590205551759
66120113.7784017610026.22159823899841
67129128.035363439350.964636560650149
68132127.1511032624674.84889673753275
69136129.0010922655176.99890773448303
70141133.5457051951227.45429480487758
71122141.590708857226-19.5907088572255
72137131.2390205543535.76097944564668
73145149.93292156854-4.93292156854048
74155162.81170311262-7.81170311262034
75148162.661464216846-14.6614642168462
76153149.2413719173543.7586280826456
77172149.12909352854622.8709064714539
78169160.2046522359698.79534776403096
79180175.9344646006834.06553539931681
80190178.00373207385111.9962679261495
81233185.87644257957347.1235574204267
82231222.891867985188.10813201482026
83245228.34450710234316.6554928976569
84299250.20277624990348.7972237500973
85385302.43340441589682.5665955841039
86381385.674281079159-4.67428107915867
87322387.268518478844-65.2685184788438
88317335.086444090333-18.0864440903334
89323319.5299778351833.47002216481724
90393313.30667882904479.6933211709559
91372385.771968878679-13.771968878679
92387374.3447205424412.6552794575604
93413386.80308292595526.1969170740447
94405402.4092119443392.59078805566054
95407404.3904230579892.60957694201096
96392418.609167723147-26.6091677231473
97363413.812561346398-50.8125613463982
98358379.22481408486-21.2248140848603
99375360.4554816159314.5445183840702
100370378.201636575253-8.20163657525313
101386373.11881386620612.8811861337937
102353383.29429131599-30.2942913159903
103347356.111684574624-9.11168457462401
104363351.499005945111.5009940548997
105350364.587296755046-14.5872967550459
106347344.5184454177012.48155458229866
107333346.41357053606-13.4135705360595
108327344.315145186962-17.3151451869622
109328344.234799553045-16.2347995530454
110309340.997795636507-31.9977956365066
111286317.651845665485-31.6518456654852
112319295.44956264088823.5504373591115
113285318.453147555788-33.453147555788
114301286.21145039442214.7885496055782
115315297.89721076928817.1027892307117
116388316.84264875122771.1573512487734
117383375.119400213047.88059978695981
118417375.17275041233341.8272495876665
119423407.02271376230915.9772862376911
120430428.2201175576391.77988244236144
121486443.69204551411942.3079544858811
122394485.935177282892-91.9351772828922
123411414.20340052114-3.20340052114011
124431421.3553158086849.64468419131572
125447426.54646387324120.4535361267586
126432443.424510520138-11.4245105201375
127457434.19875056828922.8012494317107
128453463.985356726709-10.9853567267087
129441448.594540291129-7.59454029112868
130416440.061903247732-24.0619032477315
131451415.69472046312735.3052795368727
132432450.869775673821-18.8697756738212
133436454.334428251664-18.3344282516645
134429432.092388370869-3.09238837086912
135421442.378599048717-21.3785990487168
136425436.328557663482-11.3285576634819
137437425.82180120062411.1781987993764
138432431.5276491954930.472350804506732
139413435.863013361276-22.8630133612756
140419424.857169156854-5.85716915685384
141436414.00086919627721.9991308037231
142421427.478002052099-6.47800205209916
143424424.167702147093-0.167702147093223
144402424.431690526301-22.4316905263008
145403425.080305188662-22.0803051886616
146400401.570549275294-1.57054927529447
147426410.97633335494415.0236666450559
148418435.496737897269-17.496737897269
149403422.603441592535-19.6034415925348
150405402.2042945677512.79570543224895
151394405.724204199732-11.7242041997322
152400405.680080496408-5.68008049640827
153376398.181094992818-22.1810949928177
154367372.677429674193-5.67742967419349
155354370.742066036231-16.7420660362308
156348355.046019353747-7.04601935374683
157364368.165861985548-4.16586198554774
158329361.496428861693-32.4964288616931
159348347.8307370274810.169262972518766
160330356.597278605592-26.597278605592
161351336.10821615594114.8917838440587
162336346.163661575817-10.1636615758172
163332337.537794119532-5.53779411953172
164349343.1893215889835.81067841101742
165384343.07017533776940.9298246622311
166370370.460577874978-0.460577874978071
167346371.463403616023-25.4634036160226
168338349.839840411395-11.8398404113947
169335359.418899264923-24.4188992649225
170338333.1172870570134.88271294298738
171347353.420835454151-6.42083545415085
172372353.77448552614218.2255144738579
173376374.2867758432821.71322415671835
174373370.8036925302682.19630746973172
175392372.69768748954219.302312510458
176374399.727963597278-25.7279635972784
177385378.1797914729736.82020852702703
178372373.235818097999-1.23581809799941
179372370.7273115041161.27268849588444
180352372.276851920471-20.2768519204712
181353373.58786854914-20.5878685491401
182330353.762502225253-23.7625022252529
183348349.618190251174-1.61819025117427
184346356.695937522205-10.6959375222055
185361351.936167099629.06383290037991
186364354.4476680721189.55233192788165
187375364.258681658310.7413183416999
188369379.176316614143-10.1763166141431
189342373.948541477427-31.9485414774273
190338336.7522294912081.24777050879214
191337336.5397583451550.460241654844765
192333334.946367846119-1.94636784611868
193336351.031409298651-15.0314092986509
194322335.329013292219-13.3290132922189
195329342.169475338404-13.169475338404
196322338.867041156347-16.8670411563474
197325331.401404185886-6.40140418588567
198331321.4743040059089.52569599409196
199311331.400990222916-20.4009902229159
200318318.743931159414-0.743931159413535
201312318.624729319608-6.62472931960775
202315305.7189136248349.28108637516561
203333311.90600109540921.0939989045908
204311326.705736635451-15.7057366354514
205321330.16421265307-9.16421265307031
206316319.398586609901-3.39858660990149
207284334.280635589182-50.2806355891819
208281300.568001125455-19.5680011254551
209280292.127745387227-12.1277453872273
210266279.411881601015-13.4118816010152
211268267.3532736379680.646726362031984
212278273.9696413413474.03035865865331
213292277.02921015001514.9707898499853
214263283.406569867284-20.4065698672841
215265266.970892989014-1.9708929890142
216266258.8894158836547.11058411634576
217251281.536888723394-30.5368887233943
218256254.1687201126271.83127988737337
219280267.86663194447412.1333680555262
220283288.124521275697-5.12452127569662
221289292.212219545282-3.21221954528227
222308286.55138444398821.4486155560119
223293304.28010155751-11.2801015575103
224281301.650745616034-20.6507456160335
225274286.031865911276-12.0318659112763
226277266.51066300875910.4893369912415
227278277.1642184565290.835781543471057
228250272.398241777682-22.3982417776825
229265266.86037941545-1.8603794154501
230269266.3959252172172.60407478278319
231262281.906928806483-19.9069288064834
232258274.286889205449-16.2868892054486
233251269.576729316588-18.5767293165885
234243254.34783295562-11.3478329556199
235247241.8025739490175.19742605098335
236224251.404809525457-27.4048095254574
237241231.3235599071959.67644009280545
238255231.93998287924123.0600171207588
239261251.6359915054589.3640084945423
240267251.07941162543215.9205883745677
241264278.870613955295-14.8706139552954
242270268.409821841191.59017815881037
243275280.504195634906-5.50419563490595
244281284.938388300081-3.93838830008099
245301289.94084680357611.0591531964243
246321299.49005018905221.5099498109477
247355315.40097097749639.5990290225043
248319349.035747291568-30.0357472915677
249299331.107531783587-32.1075317835874
250319299.5093392447619.4906607552404
251328314.74119300049713.258806999503
252348318.08791252546729.9120874745328
253335353.630506439181-18.6305064391807
254333342.031301995548-9.03130199554806
255331344.725574236902-13.7255742369022
256318342.698067814908-24.6980678149082
257325332.658484850279-7.6584848502788
258318328.290859154758-10.2908591547579
259313320.595901377221-7.5959013772208
260313308.0651507530544.93484924694582
261315318.151986294816-3.15198629481648
262298315.901835226971-17.9018352269707
263311300.20376429508910.7962357049112
264309303.4824383347685.51756166523234
265297313.714590657388-16.7145906573884
266294304.770946641525-10.7709466415247
267291305.518037144446-14.5180371444459
268292301.584192758278-9.58419275827805
269290305.721833821313-15.7218338213126
270287294.53577434658-7.53577434658041
271281289.377718297802-8.37771829780212
272295277.66118530001917.3388146999805
273289296.836556880436-7.83655688043598
274286289.099627126431-3.0996271264309
275295288.672203082436.32779691757048
276291287.7315643241423.26843567585831
277315293.58127258317521.4187274168249
278306316.132836793291-10.1328367932908
279304316.963117880516-12.9631178805158
280309314.85485176578-5.85485176577964
281307321.297372455884-14.2973724558844
282299312.206750564426-13.206750564426
283294302.369743125556-8.36974312555554
284295293.6269912466771.37300875332295
285296296.998071455107-0.998071455107151
286294295.332797559558-1.33279755955846
287292297.420660266008-5.42066026600827
288290286.63497682133.36502317869991
289289294.657018357754-5.65701835775405
290310291.69241237691718.3075876230827
291297315.174243982408-18.1742439824082
292301309.67590325897-8.67590325896975
293302312.865034684321-10.865034684321
294297306.673375052921-9.6733750529209
295305300.2492440678164.75075593218406
296298303.231235191771-5.23123519177142
297299300.992899171764-1.99289917176412
298273298.48524238976-25.4852423897602
299267280.587720694062-13.5877206940618
300266264.2172993035611.78270069643884
301284269.91990016861614.0800998313842
302276285.666869722006-9.66686972200614
303284282.3375413506031.66245864939737
304285293.962024320379-8.96202432037876
305267296.667391446088-29.6673914460884
306273275.422076879829-2.42207687982892
307262276.520900336934-14.5209003369342
308246262.780784058814-16.7807840588136
309251251.58477762093-0.584777620930055
310248247.5041006167240.495899383275969
311255251.9705670814113.02943291858935
312245250.799328491624-5.79932849162373
313251251.795065095416-0.795065095416476
314261252.7837327684418.2162672315591
315259265.210137341101-6.21013734110142
316271269.2481227998961.75187720010422
317258278.220550809725-20.2205508097255
318253267.751444909956-14.7514449099558
319239257.492852357483-18.4928523574827
320241240.2828815632620.717118436737678
321281245.0929105171735.9070894828301
322285270.62012941582314.3798705841767
323289286.5963321465212.40366785347919
324290283.9007947670126.09920523298791
325290295.087243959403-5.08724395940277
326305293.64787820520911.3521217947913
327289306.943251185439-17.9432511854389
328302302.420305100972-0.420305100971916
329294307.102423497753-13.1024234977531
330301303.015390181929-2.01539018192904
331299302.615044745924-3.61504474592437
332312299.64200309395112.3579969060488
333310317.917594476607-7.91759447660723
334312305.5531967141446.44680328585599
335309313.738074758476-4.73807475847588
336292305.698860092913-13.6988600929126
337284299.598917449683-15.5989174496826
338290291.563640253801-1.56364025380128
339292291.0435790517130.956420948287075
340297303.81232340047-6.8123234004704
341316301.86673755457714.1332624454235
342320321.063768167739-1.0637681677386
343304321.247696864434-17.2476968644341
344301309.103376149899-8.10337614989857
345322308.50790033041513.4920996695849
346309315.098684070865-6.0986840708652
347308311.856991738907-3.85699173890686
348311303.4956857679347.50431423206646
349328314.30737261158113.6926273884191
350343331.55735499561411.4426450043856
351345341.8363588839173.16364111608317
352342355.491995066556-13.4919950665557
353350350.566477705058-0.566477705058389
354322356.133485455501-34.1334854555008
355311327.731696801046-16.7316968010464
356319317.0594027029081.94059729709232
357328327.0706679565780.929332043421596
358320321.250992883378-1.25099288337827
359321322.184599804766-1.18459980476649
360331317.29336332129913.7066366787008
361342333.830195057348.16980494265977
362322346.358456794491-24.358456794491
363307326.757072083215-19.7570720832149
364302319.972337919413-17.9723379194128
365307312.918405761141-5.91840576114083
366301310.288206885855-9.28820688585489
367315303.96781571988911.0321842801112
368342317.88157075992824.1184292400721
369333345.694483849017-12.6944838490166
370332328.6160175774143.38398242258626
371332333.302062400137-1.30206240013695
372330330.034169193581-0.0341691935807944
373322334.830393798193-12.8303937981934
374319326.638458793417-7.63845879341665
375345321.0767487032123.9232512967903
376324349.788982807219-25.7889828072185
377322337.810538454231-15.8105384542308
378325326.799271202612-1.79927120261243
379325328.874179199271-3.87417919927088
380335332.25447714552.74552285450045
381335338.551678060514-3.55167806051355
382335330.7152766536214.28472334637877
383341335.5883593933365.41164060666432
384320337.891025898333-17.8910258983326
385324326.783490548092-2.78349054809212
386328327.3079185132770.692081486722941
387329332.118567818108-3.11856781810792
388338333.2465484306064.75345156939358
389336347.09590276884-11.0959027688403
390361341.51048270131219.4895172986884
391353360.546015829375-7.54601582937465
392352361.723517435235-9.72351743523512
393393357.21988391033435.7801160896664
394393382.0653846469810.9346153530199
395420392.44120500209327.5587949979068
396435409.94860964277325.0513903572272
397468435.27912846866432.7208715313359
398466464.8899468419891.11005315801077
399481469.59859470526311.4014052947367
400511483.36615085641927.6338491435808
401508513.872669766822-5.87266976682156
402480516.036443967756-36.0364439677562
403496487.0908583860918.90914161390947
404487501.311868455707-14.3118684557072
405473498.351627043383-25.3516270433827
406473470.9395795119012.06042048809945
407488476.06379617918211.9362038208179
408479480.65978068856-1.6597806885602
409501485.29425791813315.7057420818672
410503497.5104326853335.48956731466717
411497506.944942457768-9.94494245776764
412496505.338955938572-9.33895593857238
413490502.107509886153-12.1075098861526
414482495.753425225157-13.7534252251572
415486489.997266676594-3.99726667659394
416493491.1112985805981.88870141940174
417522499.96629066365122.0337093363491
418546514.00167861906431.9983213809363
419534544.453422150794-10.4534221507937
420570529.39116449927840.6088355007221
421624570.17984758847653.8201524115235
422640612.01133127643527.9886687235646
423589637.842809013715-48.8428090137147
424559604.879643939541-45.8796439395405
425570571.806099668673-1.80609966867291
426590573.58500926464816.4149907353524
427588593.328816609508-5.32881660950784
428566594.04619802516-28.0461980251603
429630581.04007867865448.9599213213459
430576617.97998237264-41.9799823726403
431642583.76342040804558.2365795919551
432626630.090379182161-4.09037918216052
433718636.28923210066181.7107678993389
434750697.67402874314952.3259712568508
435690734.303254797448-44.3032547974478
436667705.349681246637-38.3496812466375
437689683.4453738240735.5546261759265
438666693.273766144388-27.2737661443882
439662675.210786252165-13.2107862521648
440666666.938741034428-0.938741034428404
441681684.719249208659-3.71924920865933
442705668.60437325794436.3956267420557
443783709.27414436077573.7258556392245
444758760.923810242072-2.9238102420718
445776777.965463456993-1.96546345699335
446812768.35436894576643.6456310542343
447824786.82071345778237.1792865422181
448887824.3870194419962.6129805580097
449984889.12033729664694.8796627033537
4501016967.32995573742748.6700442625732
4518971012.24761401849-115.247614018488
452980922.95206902496257.0479309750382
453957987.261434850314-30.2614348503135
454969954.3308038654314.6691961345696
4551063981.75434561567481.2456543843257
45610481030.6352222105117.3647777894873
4579681064.17939593865-96.1793959386537
4581022983.7120956241238.2879043758795
4591014997.10359602322416.8964039767761
46010351021.2172732296813.7827267703212
46110691050.2218631777518.778136822255
46210381061.61413469827-23.6141346982708
46311331029.21672459452103.783275405482
46412601136.7653239858123.234676014199
46512071244.47522684036-37.4752268403565
46612351210.9006752799324.0993247200674
46712971253.6252016982743.3747983017306
46811791264.53775575605-85.5377557560539
46913321201.84151416008130.158485839918
47013231319.757097659973.24290234003183
47112481302.3660883877-54.3660883877042
47212481268.54474697473-20.5447469747312
47312601270.39123639417-10.3912363941661
47412601253.324944602976.67505539702984
47513171260.0992767568856.9007232431229
47613081332.0140632777-24.014063277697
47713801302.2122414847177.7877585152946
47813271368.86800899678-41.8680089967786
47913271360.5190847468-33.5190847467975


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
4801294.431323259061245.571621997561343.29102452057
4811325.732774186111262.918780747781388.54676762444
4821323.843918527161249.655475114611398.03236193971
4831297.185549234051213.148340211591381.2227582565
4841311.191209922551218.344132076281404.03828776881
4851330.808177310971229.917606746141431.6987478758
4861324.106587698491215.768069187281432.4451062097
4871331.283240688831215.976857701981446.58962367568
4881347.889252719541226.012719614041469.76578582504
4891349.235871566121221.125697551241477.346045581
4901339.237233830281205.182975970151473.29149169042
4911365.678456619241225.932718169961505.42419506853