Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.834190584506632
beta0.0314371802556123
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13299.5237.62747618614461.8725238138558
14347.4334.68420332617712.7157966738233
15338.3337.124238319471.17576168053034
16327.7326.9401176589670.759882341033176
17351.6351.053240978830.546759021169919
18396.6398.633000518333-2.03300051833338
19438.8389.48984628816749.3101537118326
20395.6405.364615816431-9.76461581643088
21363.5370.107395833007-6.60739583300671
22378.8311.42696738413267.3730326158684
23357425.406491420811-68.4064914208113
24369393.290788189469-24.2907881894686
25464.8513.533753724339-48.7337537243392
26479.1521.378815401935-42.278815401935
27431.3463.753172723511-32.4531727235112
28366.5415.288175047826-48.7881750478257
29326.3395.158503716801-68.8585037168007
30355.1376.753057717195-21.6530577171947
31331.6353.723145063187-22.1231450631872
32261.3304.340882188484-43.0408821884836
33249246.96034818192.03965181809971
34205.5216.679853301785-11.1798533017854
35235.6222.94211720267412.6578827973259
36240.9251.583084970917-10.6830849709167
37264.9328.25761734168-63.3576173416795
38253.8300.622155814497-46.8221558144972
39232.3246.570735623157-14.2707356231573
40193.8217.974021764035-24.1740217640346
41177203.015550719065-26.0155507190646
42213.2203.9928181947879.20718180521285
43207.2205.5960254783281.6039745216718
44180.6182.43979327699-1.83979327698961
45188.6169.17274925690819.4272507430917
46175.4158.31067010989417.0893298901057
47199187.48481543049711.5151845695034
48179.6207.49857823315-27.8985782331497
49225.8239.439214993288-13.6392149932884
50234249.392887806947-15.3928878069467
51200.2226.171511133913-25.9715111339127
52183.6186.658271387862-3.05827138786157
53178.2187.212548206198-9.01254820619849
54203.2207.693982600351-4.49398260035076
55208.5195.84678877050612.6532112294941
56191.8180.67041094750611.1295890524938
57172.8180.531206711055-7.73120671105477
58148147.7256237050230.27437629497706
59159.4158.5941472173250.805852782674634
60154.5160.696894106354-6.19689410635439
61213.2204.0714491725069.12855082749434
62196.4230.365107477847-33.9651074778472
63182.8189.97433341138-7.17433341137979
64176.4170.2599431968416.1400568031595
65153.6176.720028869375-23.1200288693753
66173.2181.741312510011-8.54131251001124
67171168.8718272041842.12817279581597
68151.2148.1656355555233.03436444447695
69161.9139.63601061054322.263989389457
70157.2134.80611764871922.3938823512809
71201.7164.58153835035637.1184616496444
72236.4196.54416510376639.855834896234
73356.1307.95487481577348.1451251842268
74398.3368.74231903959929.5576809604014
75403.7382.88247820143420.8175217985665
76384.6380.2368131794074.36318682059328
77365.8380.127495155857-14.3274951558569
78368.1438.94731899504-70.8473189950401
79367.9376.476661613988-8.57666161398851
80347325.42662496656421.5733750334357
81343.3329.05557059529114.2444294047092
82292.9293.809700047232-0.909700047232377
83311.5318.635578971649-7.13557897164901
84300.9314.220628238659-13.3206282386586
85366.9403.388371532031-36.4883715320311
86356.9389.091648366252-32.191648366252
87329.7348.652797695368-18.9527976953682
88316.2311.3075662393774.89243376062274
89269307.082879226892-38.082879226892
90289.3316.793051057117-27.4930510571166
91266.2296.430059111027-30.2300591110271
92253.6239.4931235687314.1068764312697
93233.8237.186895038652-3.38689503865234
94228.4198.02814214564530.3718578543555
95253.6239.98753593537613.6124640646237
96260.1249.94801769489210.1519823051084
97306.6339.008756096429-32.4087560964286
98309.2324.090947732998-14.8909477329979
99309.5300.0269105011969.47308949880386
100271290.523410386711-19.5234103867105
101279.9258.86288483324421.0371151667559
102317.9320.267363671768-2.36736367176786
103298.4320.511644503403-22.1116445034032
104246.7274.9043957616-28.2043957616003
105227.3234.090662576541-6.79066257654137
106209.1197.37225093282411.7277490671756
107259.9218.6935949571241.2064050428802
108266250.74243224987415.2575677501261
109320.6337.232706264291-16.6327062642907
110308.5339.1990227991-30.6990227991004
111282.2305.595219572674-23.3952195726744
112262.7264.450583587294-1.75058358729439
113263.5253.8723120249379.62768797506305
114313.1298.44496198354714.6550380164533
115284.3308.950332595042-24.6503325950423
116252.6260.242475622762-7.6424756227623
117250.3239.71286832351610.5871316764842
118246.5218.26938366059328.2306163394066
119312.7260.61976485284552.0802351471546
120333.2297.08221912052336.1177808794773
121446.4412.91330169524833.4866983047515
122511.6461.75040030136749.8495996986334
123515.5496.78733338704418.712666612956
124506.4485.61993897197120.7800610280289
125483.2495.424325050891-12.2243250508909
126522.3560.29274868543-37.9927486854297
127509.8518.892824477347-9.09282447734728
128460.7470.719734730634-10.0197347306336
129405.8446.758347791126-40.9583477911258
130375369.7271233422195.27287665778107
131378.5408.946064638928-30.446064638928
132406.8371.00395402308335.7960459769167
133467.8502.744824266505-34.9448242665046
134469.8496.311550713853-26.5115507138532
135429.8460.514091290188-30.7140912901882
136355.8409.273950575562-53.4739505755616
137332.7351.208595366577-18.5085953665773
138378379.995421767816-1.99542176781642
139360.5370.5896257954-10.0896257953996
140334.7329.4087470074955.29125299250461
141319.5315.0468954439674.45310455603334
142323.1288.67269792984534.427302070155
143363.6339.59553971767924.0044602823206
144352.1356.752272691202-4.6522726912022
145411.9428.735450171647-16.8354501716474
146388.6434.059236163922-45.4592361639222
147416.4381.57452319246134.8254768075391
148360.7380.716348230231-20.0163482302311
149338355.979403173382-17.9794031733824
150417.2389.07017652374128.1298234762594
151388.4403.295842983163-14.8958429831627
152371.1358.65892425834912.4410757416506
153331.5348.865331958788-17.365331958788
154353.7307.66017994249446.0398200575063
155396.7368.10785359936628.5921464006343
156447384.12974459008562.870255409915
157533.5530.3152915649993.1847084350012
158565.4553.88349592439211.5165040756081
159542.3565.735654805961-23.4356548059611
160488.7497.427065666327-8.72706566632735
161467.1482.452878998616-15.3528789986158
162531.3550.414094783908-19.1140947839078
163496.1515.561418835605-19.4614188356054
164444465.666220719443-21.6662207194431
165403.4418.149993873066-14.7499938730661
166386.3386.0580294520490.241970547950643
167394.1406.636200508713-12.5362005087131
168404.1391.64650741383612.453492586164
169462.1474.973714290049-12.873714290049
170448.1480.77640372899-32.6764037289897
171432.3447.026236723849-14.7262367238494
172386.3394.48354781066-8.18354781066046
173395.2377.60133159092217.5986684090777
174421.9456.711511348772-34.8115113487721
175382.9409.284132305326-26.3841323053257
176384.2357.58883714830226.6111628516977
177345.5353.631653040885-8.13165304088517
178323.4330.274534281094-6.87453428109433
179372.6337.89842695710534.7015730428955
180376365.57883461933110.4211653806692
181462.7436.86472579635325.8352742036466
182487471.10841380621215.8915861937883
183444.2481.542046865382-37.342046865382
184399.3410.0061453698-10.7061453698
185394.9395.348280574095-0.448280574094838
186455.4450.1906610102765.20933898972424
187414436.889108589498-22.8891085894978
188375.5395.730116735295-20.2301167352946
189347347.07285368331-0.0728536833096314
190339.4330.4908666001028.90913339989834
191385.8359.00849755193626.7915024480638
192378.8376.0379777341232.76202226587657
193451.8443.6232318862168.17676811378402
194446.1460.613734749254-14.5137347492541
195422.5436.210923450452-13.7109234504517
196383.1389.725762184659-6.62576218465853
197352.8379.807791542925-27.0077915429248
198445.3406.7162041774738.5837958225301
199367.5416.756905232496-49.2569052324958
200355.1354.771956438880.32804356112041
201326.2327.57176278141-1.37176278141021
202319.8311.6617793139638.13822068603662
203331.8340.127512628739-8.32751262873927
204340.9323.68277312006917.2172268799313
205394.1395.811999186966-1.71199918696647
206417.2398.4066138075218.7933861924805
207369.9402.044103018574-32.144103018574
208349.2344.0270064828975.17299351710324
209321.4340.223476236582-18.8234762365818
210405.7378.81187608294226.8881239170577
211342.9366.447768672181-23.5477686721815
212316.5334.5167438428-18.0167438428004
213284.2293.719817858119-9.51981785811893
214270.9273.199229921945-2.29922992194503
215288.8285.9789363459512.82106365404871
216278.8282.59919964721-3.7991996472096
217324.4322.3677047641552.03229523584508
218310.9328.286624385322-17.3866243853224
219299295.5503651295343.44963487046624
220273276.590977095905-3.5909770959048
221279.3262.18737329218817.1126267078118
222359.2328.42282671857630.7771732814235
223305315.485273708727-10.4852737087274
224282.1295.993398946811-13.8933989468112
225250.3262.117445690403-11.8174456904028
226246.5241.7026846335364.79731536646366
227257.9259.552901518165-1.65290151816504
228266.5251.68155912956214.8184408704377
229315.9305.86691528900410.0330847109956
230318.4315.5943371442752.80566285572462
231295.4303.95312314328-8.55312314328023
232266.4274.663141610853-8.26314161085276
233245.8260.326895347586-14.5268953475861
234362.8295.47437034279367.3256296572073
235324.9307.61450466133317.2854953386671
236294.2311.327565494151-17.1275654941512
237289.5275.02653570228414.4734642977159
238295.2280.17312536253815.0268746374615
239290.3310.393457438282-20.0934574382817
240272291.134291337342-19.1342913373419
241307.4318.394288971615-10.9942889716149
242328.7309.61902062625719.0809793737434
243292.9309.996014049046-17.0960140490458
244249.1273.990462735569-24.8904627355689
245230.4244.940768552527-14.5407685525272
246361.5288.56622411991372.9337758800871
247321.7298.91759317114322.7824068288567
248277.2301.906370001651-24.706370001651
249260.7265.109787479922-4.40978747992222
250251254.615925394878-3.61592539487754
251257.6260.504177241475-2.90417724147466
252241.8255.18972228242-13.38972228242
253287.5283.3145311896314.18546881036934
254292.3291.4578137780810.842186221918666
255274.7272.2171214176072.4828785823932
256254.2252.2612767187391.93872328126065
257230247.720219616243-17.7202196162432
258339302.5846821361536.4153178638501
259318.2278.2564160297839.9435839702201
260287288.304590422044-1.30459042204387
261295.8274.68837325613821.1116267438618
262284286.28812208729-2.28812208729033
263271296.208109798476-25.2081097984756
264262.7271.071932395497-8.37193239549691
265340.6311.51982258990129.0801774100995
266379.4342.71641532181636.6835846781844
267373.3351.26003399642922.0399660035711
268355.2343.27239004763811.9276099523622
269338.4343.450492532829-5.05049253282868
270466.9460.0977503489336.80224965106657
271451394.06858158824256.9314184117583
272422403.0827473999318.9172526000696
273429.2409.43878130876319.7612186912365
274425.9415.00858808218710.8914119178127
275460.7439.3853873361321.3146126638703
276463.6460.2286812215273.37131877847293
277541.4564.01532946909-22.6153294690898
278544.2562.696325619786-18.4963256197856
279517.5514.8111447781212.68885522187918
280469.4480.380068374871-10.9800683748709
281439.4456.08074773711-16.6807477371097
282549604.457449151233-55.457449151233
283533481.53649826601951.4635017339812
284506.1472.24085562563933.8591443743611
285484489.52570707261-5.52570707260969
286457470.559693216933-13.5596932169329
287481.5476.648188219644.85181178036049
288469.5479.682441849543-10.1824418495426
289544.7567.71856170897-23.0185617089702
290541.2565.287878180973-24.0878781809726
291521.5514.6040538417936.89594615820658
292469.7479.791550330716-10.0915503307162
293434.4453.845780084262-19.4457800842617
294542.6590.308879245698-47.7088792456982
295517.3489.26701353598228.0329864640177
296485.7457.6019458738528.0980541261496
297465.8462.705841759523.0941582404804
298447448.684024928743-1.68402492874264
299426.6466.008335457573-39.4083354575727
300411.6427.865003909975-16.265003909975
301467.5494.845873504707-27.3458735047074
302484.5483.4598717808181.04012821918218
303451.2459.313553104784-8.11355310478376
304417.4412.5862453418174.81375465818331
305379.9397.681557749085-17.7815577490849
306484.7510.249071521667-25.5490715216675
307455442.93013030534712.0698696946525
308420.8402.60756168428218.1924383157181
309416.5396.42522066610120.0747793338994
310376.3396.178937745952-19.8789377459518
311405.6387.77501938944517.8249806105553
312405.8400.4140608590665.38593914093434
313500.8481.77155726773219.0284427322684
314514515.647174743368-1.6471747433676
315475.5486.806660292573-11.3066602925735
316430.1437.949490856322-7.84949085632246
317414.4408.1047603309356.2952396690647
318538551.565953968951-13.5659539689515
319526497.32432427320228.6756757267981
320488.5466.213707712822.2862922871999
321520.2462.00783473949758.1921652605026
322504.4483.75011076935220.6498892306483
323568.5523.66164621844.8383537819999
324610.6559.20039101476351.399608985237
325818725.48716090473392.5128390952671
326830.9833.897165879271-2.99716587927082
327835.9791.70469101077144.1953089892293
328782768.99028122795913.009718772041
329762.3750.19003056185512.1099694381447
330856.91018.79199894625-161.891998946248
331820.9831.4645735196-10.5645735195998
332769.6739.76052706951729.8394729304827
333752.2741.56884236840310.6311576315966
334724.4705.39250955394719.0074904460535
335723.1761.351679831191-38.2516798311914
336719.5728.329768106862-8.82976810686239
337817.4872.180480638516-54.7804806385163
338803.3838.572796558826-35.2727965588258
339752.5774.049546250188-21.5495462501876
340689693.18825991045-4.18825991045014
341630.4659.132267092589-28.7322670925889
342765.5816.947179270898-51.4471792708975
343757.7744.9816723826512.7183276173497
344732.2681.69546783232350.5045321676771
345702.6696.0632294089126.53677059108827
346683.3657.87891928880525.4210807111945
347709.5704.7400894480554.75991055194459
348702.2710.372544631865-8.17254463186464
349784.8841.11947357944-56.3194735794399
350810.9806.3898101228754.51018987712541
351755.6775.406805500756-19.8068055007561
352656.8696.986623072432-40.186623072432
353615.1627.941855173695-12.8418551736952
354745.3788.932087670082-43.6320876700817
355694.1732.481713641856-38.3817136418556
356675.7634.71114219737140.9888578026291
357643.7634.1310170957169.56898290428387
358622.1602.49283894618719.6071610538127
359634.6636.370804952109-1.77080495210919
360588631.757378193321-43.757378193321
361689.7700.600403665333-10.900403665333
362673.9707.896450128-33.996450128
363647.9643.0945752982974.80542470170337
364568.8587.828381851145-19.028381851145
365545.7542.3561361752253.34386382477521
366632.6689.663175681857-57.0631756818565
367643.8622.08585426324721.7141457367526
368593.1589.7359675598843.36403244011615
369579.7555.1150005450724.5849994549297
370546539.7776804195986.2223195804022
371562.9555.0752613479227.82473865207771
372572.5550.40322048977722.0967795102233


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
373675.605005237689622.799731966624728.410278508755
374687.55702355603617.377763291924757.736283820136
375657.669963199329575.506598034205739.833328364452
376593.946199398308505.077273213244682.815125583372
377567.936068497151469.834611646695666.037525347606
378708.351039659137576.993485130565839.708594187708
379703.360616380588562.25120909833844.470023662846
380646.901164121424506.040242055597787.76208618725
381611.554367647924467.594832515969755.513902779879
382571.50484236403426.191861363274716.817823364785
383583.173504747114424.881836931333741.465172562894
384574.497670208461283.317387223004865.677953193917