Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.834190584506835
beta0.0314371802567837
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13299.5237.62747618614461.872523813856
14347.4334.68420332625712.7157966737425
15338.3337.1242383195571.17576168044343
16327.7326.9401176590460.75988234095405
17351.6351.053240978910.546759021090281
18396.6398.633000518418-2.03300051841796
19438.8389.48984628824249.3101537117576
20395.6405.36461581655-9.76461581654974
21363.5370.1073958331-6.60739583309976
22378.8311.42696738419967.3730326158005
23357425.406491420974-68.4064914209743
24369393.290788189548-24.2907881895478
25464.8513.533753724381-48.7337537243808
26479.1521.378815401934-42.2788154019339
27431.3463.753172723469-32.4531727234692
28366.5415.288175047753-48.7881750477532
29326.3395.158503716669-68.8585037166693
30355.1376.753057716968-21.6530577169679
31331.6353.723145062944-22.1231450629436
32261.3304.340882188258-43.040882188258
33249246.9603481816582.03965181834184
34205.5216.67985330158-11.1798533015802
35235.6222.94211720246312.6578827975368
36240.9251.583084970715-10.6830849707154
37264.9328.257617341394-63.3576173413945
38253.8300.622155814127-46.8221558141267
39232.3246.570735622775-14.2707356227753
40193.8217.974021763684-24.1740217636837
41177203.015550718695-26.0155507186952
42213.2203.9928181943479.20718180565282
43207.2205.5960254779251.60397452207513
44180.6182.439793276658-1.83979327665844
45188.6169.17274925660219.4272507433979
46175.4158.31067010966117.0893298903387
47199187.48481543027811.5151845697225
48179.6207.498578232949-27.8985782329491
49225.8239.439214993006-13.6392149930056
50234249.392887806636-15.3928878066355
51200.2226.171511133602-25.9715111336022
52183.6186.658271387567-3.05827138756698
53178.2187.212548205913-9.01254820591348
54203.2207.693982599999-4.49398259999853
55208.5195.84678877017112.6532112298288
56191.8180.67041094724511.1295890527552
57172.8180.531206710814-7.73120671081404
58148147.7256237048160.274376295183629
59159.4158.5941472171160.805852782883619
60154.5160.696894106169-6.19689410616851
61213.2204.0714491722659.12855082773487
62196.4230.365107477611-33.9651074776114
63182.8189.974333411127-7.17433341112661
64176.4170.2599431966036.14005680339687
65153.6176.720028869159-23.1200288691593
66173.2181.741312509719-8.54131250971926
67171168.8718272038882.12817279611158
68151.2148.165635555283.03436444471964
69161.9139.63601061032522.2639893896746
70157.2134.80611764855722.3938823514428
71201.7164.58153835021737.1184616497825
72236.4196.54416510369539.8558348963051
73356.1307.95487481574748.1451251842528
74398.3368.74231903966629.5576809603339
75403.7382.88247820152420.817521798476
76384.6380.2368131794974.36318682050319
77365.8380.127495155984-14.3274951559841
78368.1438.947318995124-70.8473189951242
79367.9376.476661613946-8.5766616139457
80347325.4266249665221.5733750334804
81343.3329.05557059525114.244429404749
82292.9293.809700047202-0.909700047202023
83311.5318.635578971615-7.13557897161536
84300.9314.22062823865-13.3206282386502
85366.9403.388371532014-36.488371532014
86356.9389.091648366228-32.1916483662277
87329.7348.652797695308-18.9527976953075
88316.2311.3075662392914.8924337607088
89269307.082879226843-38.0828792268426
90289.3316.793051056995-27.4930510569947
91266.2296.430059110838-30.2300591108377
92253.6239.49312356852714.1068764314727
93233.8237.186895038469-3.38689503846888
94228.4198.02814214548630.3718578545143
95253.6239.98753593524713.612464064753
96260.1249.94801769480510.1519823051955
97306.6339.008756096352-32.4087560963522
98309.2324.09094773291-14.8909477329096
99309.5300.0269105010999.47308949890106
100271290.523410386621-19.5234103866212
101279.9258.86288483316521.037115166835
102317.9320.267363671705-2.36736367170454
103298.4320.511644503309-22.111644503309
104246.7274.904395761466-28.2043957614655
105227.3234.09066257638-6.7906625763797
106209.1197.37225093266711.7277490673328
107259.9218.69359495697641.2064050430238
108266250.74243224980115.2575677501989
109320.6337.232706264254-16.6327062642537
110308.5339.199022799067-30.6990227990673
111282.2305.595219572606-23.3952195726063
112262.7264.450583587203-1.75058358720349
113263.5253.872312024869.62768797513962
114313.1298.44496198347914.655038016521
115284.3308.950332594977-24.6503325949774
116252.6260.242475622657-7.64247562265732
117250.3239.71286832339410.5871316766063
118246.5218.26938366047828.2306163395225
119312.7260.61976485274952.0802351472515
120333.2297.08221912051336.1177808794867
121446.4412.91330169533433.4866983046658
122511.6461.75040030153649.8495996984643
123515.5496.78733338727318.7126666127273
124506.4485.61993897219120.7800610278093
125483.2495.424325051134-12.2243250511339
126522.3560.292748685687-37.992748685687
127509.8518.892824477534-9.09282447753441
128460.7470.71973473075-10.01973473075
129405.8446.75834779118-40.95834779118
130375369.7271233421785.27287665782166
131378.5408.946064638868-30.4460646388676
132406.8371.00395402303335.7960459769671
133467.8502.744824266555-34.9448242665546
134469.8496.311550713907-26.5115507139075
135429.8460.514091290225-30.7140912902249
136355.8409.273950575553-53.4739505755534
137332.7351.208595366514-18.5085953665138
138378379.995421767727-1.99542176772667
139360.5370.589625795305-10.0896257953047
140334.7329.4087470073765.29125299262364
141319.5315.046895443844.45310455616038
142323.1288.67269792969934.4273020703015
143363.6339.59553971755124.0044602824494
144352.1356.752272691115-4.65227269111455
145411.9428.735450171601-16.8354501716007
146388.6434.059236163897-45.4592361638975
147416.4381.57452319240434.8254768075961
148360.7380.716348230226-20.0163482302258
149338355.979403173355-17.9794031733546
150417.2389.07017652368528.1298234763149
151388.4403.295842983141-14.8958429831409
152371.1358.65892425828712.4410757417127
153331.5348.865331958719-17.3653319587189
154353.7307.66017994236646.039820057634
155396.7368.10785359926728.5921464007325
156447384.12974459003562.8702554099652
157533.5530.3152915650893.18470843491127
158565.4553.8834959245511.5165040754504
159542.3565.735654806139-23.4356548061388
160488.7497.427065666479-8.72706566647895
161467.1482.452878998755-15.352878998755
162531.3550.414094784031-19.1140947840312
163496.1515.561418835702-19.4614188357019
164444465.666220719473-21.6662207194731
165403.4418.149993873045-14.7499938730446
166386.3386.0580294519410.241970548058589
167394.1406.636200508582-12.5362005085815
168404.1391.64650741370212.4534925862984
169462.1474.97371428998-12.8737142899802
170448.1480.776403728963-32.6764037289634
171432.3447.026236723806-14.7262367238064
172386.3394.483547810622-8.18354781062186
173395.2377.60133159088317.5986684091171
174421.9456.711511348748-34.811511348748
175382.9409.284132305263-26.3841323052634
176384.2357.58883714819426.6111628518061
177345.5353.631653040796-8.13165304079649
178323.4330.274534280946-6.87453428094614
179372.6337.89842695692534.701573043075
180376365.57883461918710.4211653808131
181462.7436.86472579626125.835274203739
182487471.10841380621115.8915861937889
183444.2481.542046865426-37.3420468654257
184399.3410.006145369813-10.7061453698129
185394.9395.348280574097-0.448280574096998
186455.4450.1906610102855.20933898971532
187414436.889108589516-22.8891085895157
188375.5395.730116735252-20.2301167352518
189347347.072853683234-0.0728536832335749
190339.4330.4908665999818.9091334000189
191385.8359.00849755178226.7915024482179
192378.8376.0379777339992.7620222660014
193451.8443.6232318861238.1767681138773
194446.1460.613734749232-14.5137347492324
195422.5436.210923450453-13.7109234504533
196383.1389.725762184659-6.62576218465944
197352.8379.80779154292-27.0077915429202
198445.3406.7162041774338.5837958225697
199367.5416.756905232514-49.2569052325144
200355.1354.7719564388150.328043561185154
201326.2327.571762781333-1.37176278133262
202319.8311.6617793138458.13822068615502
203331.8340.127512628582-8.32751262858216
204340.9323.68277311990817.2172268800923
205394.1395.811999186837-1.71199918683664
206417.2398.40661380744518.7933861925551
207369.9402.044103018564-32.1441030185641
208349.2344.0270064828675.17299351713291
209321.4340.223476236569-18.8234762365686
210405.7378.81187608289126.8881239171087
211342.9366.447768672188-23.5477686721877
212316.5334.516743842755-18.0167438427547
213284.2293.719817858039-9.51981785803861
214270.9273.199229921821-2.29922992182082
215288.8285.9789363457872.82106365421294
216278.8282.599199647041-3.79919964704118
217324.4322.3677047639862.03229523601385
218310.9328.286624385196-17.3866243851965
219299295.5503651294373.44963487056253
220273276.590977095832-3.59097709583239
221279.3262.18737329212717.1126267078732
222359.2328.4228267185230.7771732814804
223305315.485273708734-10.4852737087343
224282.1295.993398946792-13.8933989467921
225250.3262.117445690352-11.8174456903521
226246.5241.7026846334424.79731536655771
227257.9259.552901518041-1.65290151804095
228266.5251.68155912942814.8184408705719
229315.9305.86691528888510.0330847111145
230318.4315.5943371442082.80566285579192
231295.4303.953123143254-8.55312314325431
232266.4274.663141610836-8.26314161083553
233245.8260.326895347567-14.5268953475668
234362.8295.47437034273967.3256296572615
235324.9307.61450466138417.2854953386159
236294.2311.327565494217-17.1275654942168
237289.5275.02653570230814.4734642976922
238295.2280.17312536254115.0268746374595
239290.3310.393457438264-20.0934574382643
240272291.134291337278-19.1342913372779
241307.4318.394288971531-10.9942889715314
242328.7309.61902062619919.0809793738005
243292.9309.996014049051-17.096014049051
244249.1273.990462735573-24.8904627355733
245230.4244.940768552511-14.5407685525111
246361.5288.56622411984872.9337758801522
247321.7298.91759317119122.7824068288093
248277.2301.906370001729-24.7063700017294
249260.7265.109787479948-4.40978747994831
250251254.615925394864-3.61592539486441
251257.6260.504177241431-2.90417724143128
252241.8255.189722282352-13.3897222823523
253287.5283.3145311895394.18546881046097
254292.3291.4578137780170.842186221982672
255274.7272.2171214175882.48287858241218
256254.2252.2612767187481.93872328125238
257230247.720219616264-17.7202196162642
258339302.58468213611136.4153178638888
259318.2278.25641602980839.9435839701916
260287288.304590422134-1.30459042213351
261295.8274.68837325620721.1116267437931
262284286.288122087349-2.28812208734928
263271296.208109798502-25.208109798502
264262.7271.071932395472-8.37193239547202
265340.6311.51982258985229.0801774101476
266379.4342.7164153218236.6835846781802
267373.3351.26003399651322.0399660034869
268355.2343.27239004776911.9276099522306
269338.4343.45049253299-5.0504925329904
270466.9460.097750349086.80224965091963
271451394.06858158838856.9314184116123
272422403.08274740015618.917252599844
273429.2409.43878130898519.761218691015
274425.9415.00858808238310.8914119176166
275460.7439.38538733630221.3146126636983
276463.6460.2286812216733.37131877832689
277541.4564.015329469225-22.6153294692247
278544.2562.696325619916-18.4963256199155
279517.5514.8111447782812.688855221719
280469.4480.380068375067-10.980068375067
281439.4456.080747737317-16.6807477373172
282549604.457449151422-55.4574491514221
283533481.53649826612251.463501733878
284506.1472.24085562582433.859144374176
285484489.525707072818-5.52570707281836
286457470.559693217088-13.5596932170877
287481.5476.6481882197374.85181178026335
288469.5479.682441849599-10.1824418495989
289544.7567.718561708985-23.0185617089847
290541.2565.287878180973-24.0878781809727
291521.5514.6040538418196.895946158181
292469.7479.791550330799-10.0915503307986
293434.4453.845780084367-19.4457800843671
294542.6590.308879245772-47.7088792457724
295517.3489.26701353597728.0329864640234
296485.7457.60194587390828.0980541260923
297465.8462.7058417596113.09415824038854
298447448.684024928808-1.68402492880773
299426.6466.008335457596-39.4083354575957
300411.6427.865003909916-16.2650039099163
301467.5494.845873504587-27.3458735045867
302484.5483.4598717806721.04012821932844
303451.2459.313553104684-8.11355310468355
304417.4412.5862453417664.81375465823447
305379.9397.681557749082-17.7815577490819
306484.7510.249071521625-25.5490715216247
307455442.93013030525412.0698696947459
308420.8402.60756168423418.1924383157664
309416.5396.42522066608820.0747793339122
310376.3396.178937745949-19.8789377459487
311405.6387.77501938939317.824980610607
312405.8400.4140608590015.38593914099886
313500.8481.77155726763419.0284427323662
314514515.64717474328-1.6471747432804
315475.5486.806660292521-11.3066602925212
316430.1437.949490856306-7.84949085630626
317414.4408.1047603309566.2952396690435
318538551.565953968993-13.5659539689931
319526497.3243242731928.6756757268096
320488.5466.21370771283322.286292287167
321520.2462.00783473956658.1921652604344
322504.4483.75011076947920.649889230521
323568.5523.66164621811844.8383537818821
324610.6559.20039101488451.3996089851157
325818725.4871609048992.5128390951104
326830.9833.897165879511-2.99716587951139
327835.9791.70469101102444.1953089889763
328782768.99028122829313.0097187717073
329762.3750.1900305622512.1099694377497
330856.91018.79199894681-161.891998946806
331820.9831.46457351986-10.5645735198605
332769.6739.76052706973929.8394729302613
333752.2741.56884236865310.6311576313472
334724.4705.39250955419119.007490445809
335723.1761.351679831415-38.251679831415
336719.5728.329768106975-8.82976810697471
337817.4872.180480638566-54.7804806385662
338803.3838.572796558807-35.2727965588074
339752.5774.049546250158-21.5495462501578
340689693.18825991046-4.18825991046026
341630.4659.132267092657-28.7322670926575
342765.5816.947179270992-51.4471792709921
343757.7744.98167238262812.7183276173719
344732.2681.6954678323150.5045321676902
345702.6696.0632294089676.53677059103347
346683.3657.87891928886825.4210807111319
347709.5704.7400894481234.7599105518774
348702.2710.37254463188-8.1725446318801
349784.8841.119473579389-56.3194735793894
350810.9806.3898101227434.51018987725683
351755.6775.406805500655-19.8068055006545
352656.8696.986623072369-40.1866230723693
353615.1627.941855173657-12.8418551736572
354745.3788.932087670076-43.6320876700757
355694.1732.481713641755-38.381713641755
356675.7634.7111421972240.9888578027803
357643.7634.1310170956359.56898290436516
358622.1602.49283894612819.6071610538725
359634.6636.370804952057-1.77080495205735
360588631.757378193228-43.7573781932276
361689.7700.600403665128-10.9004036651284
362673.9707.896450127752-33.9964501277522
363647.9643.0945752980454.80542470195485
364568.8587.828381850968-19.0283818509685
365545.7542.3561361750883.34386382491164
366632.6689.663175681754-57.0631756817539
367643.8622.0858542630621.7141457369397
368593.1589.7359675597063.36403244029395
369579.7555.1150005449224.5849994550796
370546539.7776804194916.22231958050872
371562.9555.0752613478177.82473865218333
372572.5550.40322048966322.0967795103371


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
373675.605005237545622.799731966474728.410278508616
374687.557023555733617.377763291581757.736283819885
375657.669963198901575.506598033683739.833328364119
376593.946199397831505.077273212625682.815125583037
377567.936068496643469.834611645982666.037525347305
378708.351039658507576.99348512955839.708594187463
379703.360616379927562.251209097163844.470023662691
380646.901164120756506.040242054354787.762086187158
381611.554367647239467.59483251463755.513902779848
382571.504842363344426.19186136187716.817823364818
383583.17350474636424.881836929725741.465172562996
384574.497670207643283.317387136775865.677953278511