Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.490123873180968
beta0.0117016559417254
gamma0.48466894728562


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13316.27315.6193536324790.65064636752129
14316.81316.45739050230.35260949770003
15317.42317.2755413612770.144458638722881
16318.87318.8570843563670.0129156436332778
17319.87319.930062397133-0.0600623971330378
18319.43319.522761017715-0.0927610177153042
19318.01317.3926512550890.617348744910998
20315.75316.00704056251-0.257040562510156
21314314.93806326788-0.938063267880295
22313.68313.975753782891-0.295753782890813
23314.84315.272809285349-0.432809285348526
24316.03315.7852083399150.244791660084729
25316.73316.866908201103-0.136908201103438
26317.54317.2404696408630.299530359136838
27318.38317.9760373217850.403962678214555
28319.31319.648621361675-0.33862136167528
29320.42320.525611124674-0.105611124673715
30319.61320.081986289154-0.471986289153733
31318.42317.9333989182430.486601081756703
32316.64316.2587823594350.381217640565296
33314.83315.329152881926-0.499152881926022
34315.15314.7380266958760.411973304124331
35315.95316.34948042651-0.399480426509683
36316.85317.0472490057-0.197249005700371
37317.78317.817017612636-0.0370176126359638
38318.4318.347013429690.0529865703095993
39319.53318.9857599801120.544240019888377
40320.41320.542602051311-0.132602051310926
41320.85321.578343084311-0.728343084311177
42320.45320.735586411055-0.285586411055192
43319.44318.9129373177380.527062682262113
44317.25317.2300335957740.0199664042258405
45316.12315.9016403536260.218359646373983
46315.27315.887310082261-0.617310082260815
47316.53316.787824251422-0.257824251421994
48317.53317.599874153057-0.0698741530570715
49318.58318.467275899250.112724100750256
50318.92319.089371568564-0.169371568563747
51319.7319.735724838927-0.0357248389272513
52321.22320.8329147096780.387085290321636
53322.08321.9709916602230.109008339776608
54321.31321.647702806021-0.337702806020957
55319.58319.999681449297-0.419681449296888
56317.61317.721360266265-0.111360266265308
57316.05316.370793298954-0.320793298953731
58315.83315.875772920879-0.0457729208794717
59316.91317.138598822251-0.22859882225066
60318.2318.0049380416010.195061958399208
61319.41319.0423534619390.367646538061422
62320.07319.7161812259810.35381877401926
63320.74320.6514904585880.0885095414120656
64321.4321.914269351531-0.51426935153097
65322.06322.536896152256-0.476896152256018
66321.73321.807733410165-0.0777334101646261
67320.27320.2600452506040.00995474939628593
68318.54318.2641304234080.27586957659156
69316.54317.049458304164-0.509458304163843
70316.71316.5267095898270.183290410173186
71317.53317.854716035073-0.324716035072811
72318.55318.776181464897-0.22618146489657
73319.27319.644908803802-0.374908803801929
74320.28319.9422406675340.337759332466419
75320.73320.794888495666-0.0648884956655138
76321.97321.823417399660.146582600340366
77322322.772862833743-0.772862833743204
78321.71321.989267463414-0.279267463413646
79321.05320.3553025612990.694697438701496
80318.71318.755467134038-0.045467134038347
81317.65317.1821436513220.46785634867831
82317.14317.308112716185-0.168112716185476
83318.71318.334853281060.375146718940243
84319.25319.624206329527-0.374206329526771
85320.46320.3832987208830.076701279117458
86321.43321.0803501611560.349649838843561
87322.22321.8416505624620.378349437538304
88323.54323.1445495561590.395450443841185
89323.91323.995053614859-0.0850536148589072
90323.59323.68078951564-0.0907895156402674
91322.26322.391212137663-0.131212137663226
92320.21320.210254280073-0.000254280072567781
93318.48318.792788953339-0.312788953338782
94317.94318.381351703536-0.441351703536156
95319.63319.4092230793690.220776920630556
96320.87320.4376503631060.43234963689406
97322.17321.7080252209410.461974779059005
98322.34322.668110737088-0.328110737087968
99322.88323.107180623739-0.227180623738661
100324.25324.1169118722740.133088127726126
101324.83324.7179694500960.112030549903693
102323.93324.497900129437-0.567900129436566
103322.39322.960770398411-0.570770398411298
104320.76320.5904962482080.169503751791808
105319.1319.173732323363-0.0737323233631741
106319.23318.8437957736260.386204226374446
107320.56320.4417481974270.118251802573297
108321.8321.4724717121040.327528287896257
109322.4322.698453096172-0.298453096172068
110322.99323.085887655773-0.0958876557728559
111323.73323.6603491626990.0696508373010829
112324.86324.902928602873-0.0429286028730189
113325.41325.4098368916170.000163108383219424
114325.19324.9635963284410.226403671558899
115323.97323.8163029843350.153697015664534
116321.92321.989438435637-0.069438435637096
117320.1320.399477517194-0.299477517194305
118319.96320.075286238461-0.115286238461124
119320.97321.361081671884-0.391081671883853
120322.48322.1908163347580.289183665241808
121323.52323.2400219660020.279978033998304
122323.89323.961046171-0.071046171000205
123325.04324.5887621536640.4512378463358
124326.01325.992905252010.0170947479896313
125326.67326.5425850530580.127414946942281
126325.96326.218056061906-0.258056061906245
127325.13324.8160051686110.313994831389095
128322.9323.014139354546-0.114139354546069
129321.61321.3467399926070.263260007392716
130321.01321.348422872469-0.338422872469323
131322.08322.459964597141-0.379964597140599
132323.37323.466585459418-0.096585459418236
133324.34324.3255585604180.0144414395819581
134325.3324.8292855562140.470714443786107
135326.29325.8543000140730.435699985926647
136327.54327.1461538413390.39384615866129
137327.54327.912523858795-0.372523858795262
138327.21327.249610518755-0.0396105187552394
139325.98326.099149328545-0.119149328545348
140324.42323.9798624911670.440137508833118
141322.91322.6812440018460.228755998153588
142322.9322.5209823974080.379017602591659
143323.85323.981663001953-0.131663001953143
144324.96325.189205462935-0.22920546293517
145326.01326.019048903741-0.00904890374084744
146326.51326.632316173966-0.122316173965544
147327.01327.36291692505-0.352916925050351
148327.62328.258282457538-0.638282457537741
149328.76328.32385049670.436149503300385
150328.4328.1386502671590.261349732840586
151327.2327.1168603173050.083139682695446
152325.28325.2369110830610.0430889169393822
153323.2323.691154922545-0.491154922545263
154323.4323.210753888520.189246111479804
155324.64324.4467078823530.193292117647047
156325.85325.7857623981750.064237601824857
157326.6326.811866195474-0.211866195474272
158327.47327.2946054920330.17539450796653
159327.58328.11271084512-0.532710845120164
160329.56328.8469798751440.713020124856484
161329.9329.8456631199340.0543368800664439
162328.92329.433235612136-0.513235612135531
163327.89327.98642589514-0.0964258951401007
164326.17326.0062025090770.163797490923002
165324.68324.3859104735580.294089526442292
166325.04324.4613464516490.57865354835144
167326.34325.894220025520.445779974480445
168327.39327.3316426994220.0583573005775406
169328.37328.2931095434330.0768904565667867
170329.4329.0212079683040.378792031695696
171330.14329.7733143481270.366685651872558
172331.33331.270702622440.0592973775595169
173332.31331.7969140370420.513085962958087
174331.9331.4824101387020.417589861298154
175330.7330.6135001066960.086499893304449
176329.15328.8069662520330.343033747966501
177327.34327.3274746055960.0125253944036672
178327.02327.354370724473-0.334370724472535
179327.99328.320816668175-0.330816668174975
180328.48329.291319705903-0.811319705903088
181329.18329.835578442384-0.655578442384069
182330.55330.2795431512650.270456848734739
183331.32330.9751993195350.344800680465198
184332.48332.3854127846520.0945872153482696
185332.92333.040777407793-0.120777407793241
186332.08332.388083533687-0.308083533687181
187331.02331.073603093528-0.0536030935278973
188329.24329.252911600492-0.0129116004924867
189327.28327.506360850664-0.22636085066415
190327.21327.318151489335-0.108151489334773
191328.29328.385352320336-0.0953523203359055
192329.41329.3428712113380.0671287886624441
193330.23330.351555220713-0.121555220712764
194331.24331.284552843404-0.0445528434039488
195331.87331.8408330103930.0291669896066651
196333.14333.0293494314560.110650568544429
197333.8333.6342936630750.165706336924927
198333.42333.0722957935790.347704206420815
199331.73332.14245196993-0.412451969929748
200329.9330.154209607847-0.254209607846747
201328.4328.2335350226390.166464977360761
202328.17328.266213864228-0.0962138642275363
203329.32329.341639876897-0.021639876896586
204330.59330.3750735923890.214926407611415
205331.58331.4100506779950.169949322004811
206332.39332.507104144556-0.117104144555981
207333.33333.0477804084780.282219591521539
208334.41334.3836490809020.0263509190979221
209334.71334.96358682104-0.253586821040471
210334.17334.241359463427-0.0713594634270294
211332.88332.916169021443-0.0361690214432997
212330.77331.151512167615-0.381512167615483
213329.14329.271726243862-0.131726243862147
214328.77329.090955861774-0.320955861774451
215330.14330.0709852134640.0690147865358313
216331.52331.2041573480160.315842651983985
217332.75332.2749057649350.475094235065228
218333.25333.449755806868-0.199755806868154
219334.53334.0473045647090.48269543529085
220335.9335.4180511767170.481948823283176
221336.57336.1545732665780.415426733421555
222336.1335.8115780902860.288421909714145
223334.76334.6797852671560.080214732844297
224332.59332.895860651059-0.305860651059504
225331.41331.1243459697610.2856540302393
226330.98331.113240022307-0.133240022307234
227332.24332.294579007472-0.0545790074718298
228333.68333.4403980438960.239601956103968
229334.8334.5249230367870.275076963213053
230335.22335.445612516158-0.225612516158094
231336.47336.2096304870870.260369512913485
232337.59337.4804443405750.109555659425098
233337.84338.025091852195-0.185091852194546
234337.72337.3600216903240.359978309675967
235336.37336.2158974543230.154102545676665
236334.51334.3772528808130.132747119187286
237332.6332.973874887582-0.37387488758236
238332.37332.539206707267-0.169206707266994
239333.75333.7253562863010.024643713698822
240334.79334.986156889784-0.196156889783538
241336.05335.8668277916150.183172208385201
242336.59336.619169609673-0.0291696096730902
243337.79337.6011200169960.188879983004199
244338.71338.800770496998-0.0907704969984025
245339.3339.1744154704580.125584529542266
246339.12338.7980911004360.321908899564164
247337.56337.585991077537-0.0259910775374124
248335.92335.6543272493040.26567275069624
249333.74334.192190950487-0.452190950486681
250333.7333.770555535768-0.0705555357685057
251335.13335.0543662400940.0756337599058838
252336.56336.2872915268540.27270847314594
253337.84337.4958915732970.344108426702803
254338.19338.279947739329-0.0899477393289771
255339.9339.2909552311070.609044768892716
256340.6340.634801952605-0.0348019526052212
257341.29341.0970363283830.192963671617122
258341340.8103304055850.189669594414511
259339.39339.454763303222-0.0647633032217527
260337.43337.583270201182-0.153270201181556
261335.72335.743095553196-0.023095553195617
262335.84335.633236062830.206763937169967
263336.93337.097840477184-0.167840477184313
264338.04338.267484517072-0.227484517072241
265339.06339.25305370165-0.193053701650058
266340.3339.6679698984470.632030101553482
267341.21341.21111297467-0.00111297466992255
268342.33342.0988404725030.231159527497312
269342.74342.751281754361-0.0112817543613346
270342.07342.366051973324-0.296051973323586
271340.32340.709155387985-0.38915538798517
272338.27338.654547580585-0.384547580585149
273336.52336.729610360951-0.209610360950649
274336.68336.5804920232930.0995079767067182
275338.19337.8946933021170.295306697883461
276339.44339.2739920327010.166007967298754
277340.57340.4605811473970.109418852602914
278341.44341.2290280489730.210971951026522
279342.53342.4083086123540.121691387646422
280343.39343.413300385548-0.0233003855481684
281343.96343.8793285162560.08067148374397
282343.18343.467537940661-0.28753794066057
283341.88341.7905987608420.0894012391580077
284339.65339.973218610239-0.323218610238769
285337.8338.123459545981-0.323459545980825
286337.69337.996166401831-0.306166401831433
287339.09339.158832060433-0.0688320604332375
288340.32340.32452589084-0.00452589084045485
289341.2341.409390514849-0.209390514849019
290342.35342.0406913856220.309308614378381
291342.93343.240684103608-0.310684103607912
292344.77343.9900261315060.779973868493983
293345.58344.8721571189970.707842881002819
294345.14344.6770682047530.4629317952473
295343.81343.4657082471760.344291752823665
296342.22341.6773572584950.542642741505006
297339.69340.262952231831-0.572952231831437
298339.82340.027253620308-0.207253620307995
299340.98341.307219767604-0.327219767603538
300342.82342.3708517497920.449148250208339
301343.52343.63873718665-0.118737186650094
302344.33344.454461513091-0.124461513090807
303345.11345.297962635569-0.187962635569363
304346.88346.3870046478810.492995352119237
305347.25347.1190362633420.13096373665752
306346.61346.5857545936610.0242454063393893
307345.22345.1326217106420.08737828935773
308343.11343.268450761448-0.158450761447625
309340.9341.231797773597-0.331797773597373
310341.17341.203111442945-0.0331114429451986
311342.8342.5382262814090.261773718591485
312344.04344.085216624198-0.0452166241976215
313344.79344.970451887514-0.180451887513584
314345.82345.7541461556810.0658538443193493
315347.25346.6759568095670.574043190433258
316348.17348.311849375548-0.141849375548247
317348.75348.6447159761430.105284023856996
318348.07348.073781634647-0.00378163464688441
319346.38346.623658678869-0.243658678868599
320344.52344.535735653508-0.0157356535078179
321342.92342.5262581433530.393741856646841
322342.63342.931214072759-0.301214072758683
323344.06344.210486390495-0.150486390494621
324345.38345.479878619051-0.0998786190505143
325346.12346.304913948692-0.184913948692099
326346.79347.147273718221-0.357273718221279
327347.69347.984842142941-0.294842142941263
328349.38349.0105361705250.369463829474569
329350.04349.6505890613490.389410938651395
330349.38349.1890968154360.190903184564434
331347.78347.7733685602820.00663143971837599
332345.75345.864132479149-0.114132479149191
333344.7343.9067437347660.793256265234106
334344.01344.337189097174-0.32718909717363
335345.5345.642245631512-0.142245631512253
336346.75346.929497566797-0.179497566796556
337347.86347.6953535521430.164646447856626
338348.32348.669310126099-0.349310126098658
339349.26349.52911818109-0.269118181089596
340350.84350.7346400322880.105359967712104
341351.7351.2517198191050.448280180894926
342351.11350.771904116610.338095883389542
343349.37349.385504046671-0.0155040466707419
344347.97347.4381715374290.531828462571468
345346.31346.0279193719560.282080628044355
346346.22345.9343086786930.285691321306956
347347.68347.5923400507390.0876599492611945
348348.82348.991271103846-0.171271103846152
349350.29349.8544541565570.435545843443379
350351.58350.8439789683570.736021031642565
351352.08352.271579019089-0.191579019089431
352353.45353.624118994981-0.174118994981029
353354.08354.103832283072-0.0238322830720676
354353.66353.3775564192220.282443580777908
355352.25351.8883409296460.361659070354165
356350.3350.275128738020.0248712619795128
357348.58348.5657854921380.0142145078619933
358348.74348.3513419273210.388658072679448
359349.93350.021054998154-0.0910549981536519
360351.21351.277534250244-0.0675342502438525
361352.62352.3512414509340.268758549066263
362352.93353.342039978529-0.412039978529378
363353.54353.979900305955-0.439900305955348
364355.27355.2158045986910.0541954013089594
365355.52355.846626453991-0.326626453991366
366354.97355.047961780545-0.0779617805453086
367353.74353.3999424275280.340057572472062
368351.51351.691055140777-0.181055140777119
369349.63349.875107595047-0.245107595046875
370349.82349.6215683673820.198431632617655
371351.12351.0738800617250.0461199382747282
372352.35352.398571609853-0.0485716098528997
373353.47353.559953775287-0.0899537752874267
374354.51354.1999176887490.310082311251222
375355.18355.182182632139-0.00218263213895398
376355.98356.754594836809-0.774594836808888
377356.94356.8802148996620.0597851003379333
378355.99356.329723433625-0.33972343362467
379354.58354.652541972773-0.0725419727727967
380352.68352.6061175868720.0738824131283877
381350.72350.894220189592-0.17422018959229
382350.92350.7803669243280.139633075671782
383352.55352.1612178192610.388782180738758
384353.91353.627418502680.282581497319882


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
385354.939742025576354.338480744576355.541003306576
386355.722029429422355.050908633146356.393150225697
387356.47274759178355.73697641666357.208518766899
388357.852961927731357.056465093054358.649458762408
389358.566476569559357.712327365656359.420625773462
390357.889667364963356.980341257584358.798993472342
391356.44867842009355.486212674445357.411144165734
392354.478068960585353.464168733118355.491969188052
393352.672300714118351.60841264129353.736188786946
394352.726047973156351.613413003782353.838682942531
395354.103881817386352.943574235423355.264189399348
396355.35490731875354.147864260963356.561950376536