Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.299999999999985
beta0.100000000000045
gamma0.100000000000045


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
13-47.9-30.4120816087394-17.4879183912606
149.18.44138975204310.658610247956904
1510.610.07343290293630.526567097063669
16-23.9-25.41551270199561.51551270199564
17-45-60.24222574243815.242225742438
18-42.2-54.015382841175311.8153828411753
1943.252.8465787231767-9.64657872317673
2032.150.619116759292-18.519116759292
21-15.373.4731751526066-88.7731751526066
2221.8-29.500376886869851.3003768868698
23-12-6.13827065088016-5.86172934911984
24-95.8-30.3475438289514-65.4524561710486
25-14.3-30.538125567985116.2381255679851
2647.85.3324162449592242.4675837550408
2764.820.500298564594944.2997014354051
2840.2-82.4565323345569122.656532334557
29-28.8-105.54097599780376.7409759978027
3023.5-77.4303936000867100.930393600087
3170.346.075654090326524.2243459096735
3212.350.5494947621212-38.2494947621212
3343.553.0159703790818-9.51597037908182
34-30.1-25.8874546675479-4.21254533245209
35-5.3-17.471543589412812.1715435894128
36-24-53.908824322710929.9088243227109
3711.1-21.4978112474232.59781124742
3821.52.180573438031719.3194265619683
3938.57.7212775907229730.778722409277
4016.8-29.719756351267446.5197563512674
41-36.2-39.41200171634663.21200171634656
426-31.219779662539937.2197796625399
4326.622.08597507459474.51402492540535
44-818.434705480439-26.434705480439
4513.212.08438744437681.11561255562319
46-23.6-4.96398029742739-18.6360197025726
4719.4-5.6970058122590325.097005812259
48-46.213.9727471703065-60.1727471703065
49-8.20.181058709976054-8.38105870997605
5033.80.21782999726474933.5821700027352
5116.610.20087719240696.3991228075931
525.4-14.988178481279320.3881784812793
53-25-28.21292151853823.21292151853819
54-5.3-19.648880344784914.3488803447849
5516.720.7592467704051-4.05924677040515
561912.99867521815926.00132478184078
5724.825.9488985076106-1.14889850761056
58-11.4-15.17690562235663.77690562235659
594.9-14.449636600142719.3496366001427
60-58.7-32.8981686019982-25.8018313980018
6116.8-10.026678652676926.8266786526769
6213.60.036006987258526513.5639930127415
636.43.097952695971933.30204730402807
6422.8-3.8016165946232826.6016165946233
65-19.619.0593682569079-38.6593682569079
662.26.59846588675059-4.39846588675059
6719.8-9.7958747371600129.59587473716
68-10.7-1.4988650367342-9.2011349632658
694.7-9.3283821208142414.0283821208142
70-44.53.96126183021073-48.4612618302107
71-34.7-10.1814319988908-24.5185680011092
72-119.7-101.15079017274-18.5492098272597
73-42.2-1.5182251078619-40.6817748921381
74-5.4130.856239442664-136.256239442664
7519.167.4645954274395-48.3645954274395
7618.8-74.172713978231492.9727139782314
77-2.3-79.698447549376277.3984475493762
780.2-57.666191451369957.8661914513699
7920.9-77.579613354503598.4796133545034
803.728.7239734872321-25.0239734872321
8150.421.388693184137129.0113068158629
82-18.6-25.85386868033637.25386868033626
8310.6-15.172997165290525.7729971652905
84-66-19.0289078909955-46.9710921090045
8510-0.26387049631012710.2638704963101
8627.2-21.810452807087349.0104528070873
8713.5-6.7571518665126320.2571518665126
8847.22.0113750034630145.188624996537
89-20.331.4607641710409-51.7607641710409
9023.118.77824776134834.32175223865168
9112.643.0906201296581-30.4906201296581
9219.8-27.255152962673947.0551529626739
935.4-21.3180902790326.71809027903
94-25.213.5864749080434-38.7864749080434
95-6.51.45638491742723-7.95638491742723
96-46.5-6.20810502748732-40.2918949725127
97-2.6-0.344966887551302-2.2550331124487
98-0.32.92561557710233-3.22561557710233
9938.5-3.1588743896347541.6588743896348
100-8.913.8827424044595-22.7827424044595
101-388.6901070090683-46.6901070090683
10219.5-7.7223003205603427.2223003205603
10351.70.88624187520783550.8137581247922
10419.4-10.027546977564129.4275469775641
10518.2-2.0235865424735420.2235865424735
106-50.81.86743588391513-52.6674358839151
107-6.136.730425034759-42.830425034759
108-54.6134.60923273367-189.20923273367
10912.11.4980367876057510.6019632123942
11026.3-10.336711237003636.6367112370036
11119.5-2.1096238369690321.609623836969
112-0.83.45130777597965-4.25130777597965
113-49.64.79624186873-54.39624186873
11428.8-57.664951512605986.4649515126059
11531.7-14.839203975079846.5392039750798
1162.3-0.5625235280230112.86252352802301
1173.8-0.338531766300024.13853176630002
118-66.20.609566686002909-66.8095666860029
119-20.535.1594237334487-55.6594237334487
120-113.297.1911598712409-210.391159871241
121-65.20.856382651262178-66.0563826512622
122-3.9180.952646209292-184.852646209292
1239.1-84.717710566238693.8177105662386
12423.2-30.735247076685753.9352470766857
125-39.1-54.307824253046315.2078242530463
12612.5-134.307553264231146.807553264231
12749.1120.292674310916-71.1926743109155
12854.9-19.817292425750974.7172924257509
12930.8-12.782204057648243.5822040576482
130-3.5-1.76582123097185-1.73417876902815
131-28.34.44457182777059-32.7445718277706
132-61-15.3907690631622-45.6092309368378
133-2-1.48369223647073-0.516307763529271
134409.4865578075253230.5134421924747
13574-11.468987653444885.4689876534448
13623.17.0209205542055416.0790794457945
137-45.363.3137237551027-108.613723755103
13817.581.9972305654594-64.4972305654594
13925.8-100.060852291535125.860852291535
14015.244.8980958073349-29.6980958073349
141-3.6-361.013846926821357.413846926821
142-40.5-9.09156068010033-31.4084393198997
14311.528.8234334180832-17.3234334180832
144-59.870.3963863373803-130.19638633738
14523.31.6614215189240221.638578481076
146-27.8-60.182414515539732.3824145155398
14755.742.186768170358213.5132318296418
14822.716.14562199566236.55437800433765
149-79.263.2203136113098-142.42031361131
15028.859.6657347724002-30.8657347724002
15117.3-65.277334561457382.5773345614573
15239.626.146836617750113.4531633822499
153-22.2-243.432437609604221.232437609604
154-43-6.1466279408251-36.8533720591749
155-50.320.8430267119818-71.1430267119818
156-86.5-5.48277271553616-81.0172272844638
157-31.9-3.13561416275221-28.7643858372478
15823.172.2994018550597-49.1994018550597
15953.6-53.1244250380815106.724425038082
16021.6-7.6068845702731529.2068845702732
161-64.22.16047063009061-66.3604706300906
16235.2-105.833898908812141.033898908812
16352.181.2941686072089-29.1941686072089
16440.6-66.7087287711676107.308728771168
16517.1276.627078939859-259.527078939859
166-7.810.3623092300128-18.1623092300128
167-10-51.451406563305641.4514065633056
168-58-7.27878184511328-50.7212181548867
16914-1.8960425450655415.8960425450655
17015.8-14.694724759369630.4947247593696
171463.827541233362742.1724587666373
172-8.925.7994924233993-34.6994924233993
173-26.712.6720427364188-39.3720427364188
174393.3302089685245835.6697910314754
175-1.3-20.856607470879319.5566074708793
17638.711.15067241006327.549327589937
17722.1-189.118672736475211.218672736475
178-49.2-5.65181292343161-43.5481870765684
179-3.4294.026301488095-297.426301488095
180-86.761.7027063498144-148.402706349814
181-24.31.70585804449125-26.0058580444912
18242.813.439702789940629.3602972100594
18344.9-27.00519318494771.905193184947
1844.4-5.9622067356219910.362206735622
185-60.55.96008367138229-66.4600836713823
18641.430.281379641408111.1186203585919
18738.5-38.937790868216877.4377908682168
18828.514.190934769814614.3090652301854
1897.6-144.13879103379151.73879103379
190-46.4-5.82667683704715-40.5733231629528
1917218.11395441506-211.11395441506
192-7320.4986479167205-93.4986479167205
1935.7-2.975826137364248.67582613736424
19423.60.96404510465463422.6359548953454
19539.4-0.64788623112246640.0478862311225
19630.3126.594724506275-96.2947245062748
197-92.5-369.026699918039276.526699918039
19877.8459.203798564304-381.403798564304
19912.4-245.772418814384258.172418814384
20028.9234.608417998267-205.708417998267
2016.4-1067.624849106051074.02484910605
202-12-52.273086558953840.2730865589538
203-9.1326.486865496367-335.586865496367
204-53.248.9973083463629-102.197308346363
205-23.1-0.742514818598785-22.3574851814012
20647.3-21.430689308458468.7306893084584
20720.7-0.24620872299529420.9462087229953
20827.848.1193343848012-20.3193343848012
209-84.3-152.51353671955768.2135367195572
21062.8201.525401323792-138.725401323792
21126.4-105.534782820197131.934782820197
21232.387.6375724691624-55.3375724691624
21313.3-394.502756353538407.802756353538
214-17.9-17.0682709188032-0.831729081196833
21510118.39800490616-108.39800490616
216-45.69.66284606564304-55.262846065643
21713.53.0539162035185210.4460837964815
21811.9-102.725000973632114.625000973632
21926-1.7020299011180427.702029901118
220-6.341.495027730276-47.795027730276
221-79.9-98.347233309444318.4472333094443
22254.2138.817761976682-84.6177619766816
22322.9-69.163517296402192.0635172964021
22431.861.2687318151331-29.4687318151331
2253.8-281.782834587709285.582834587709
226-11.4-14.37617197494282.97617197494279
227-8.686.7094725967696-95.3094725967696
228-49.411.6207098455981-61.0207098455981
229-2.52.2427222699385-4.7427222699385
23023-18.800015112942841.8000151129428
23129-0.43784800818161129.4378480081816
23220.635.9563598475948-15.3563598475948
233-117-130.24934118721613.2493411872157
23437.9185.221913911009-147.321913911009
23530.7-78.1180594518827108.818059451883
2364.778.4043219738724-73.7043219738724
237-5.7-285.868083131246280.168083131246
2384.9-16.571124616162121.4711246161621
23918.351.787865024333-33.487865024333
240-35.412.679751313927-48.079751313927
241-21.30.774279498402146-22.0742794984021
24235.852.7611803814055-16.9611803814055
24343.83.1038744550138640.6961255449861
24418.751.0029632601112-32.3029632601112
245-131.1-176.50983252056845.4098325205684
24639.8222.755189475438-182.955189475438
24744.5-83.3180727203841127.818072720384
24816.583.5662932961547-67.0662932961547
2499.7-317.317795724964327.017795724964
250-6.6-16.630171461498610.0301714614986
25115.883.5282055086384-67.7282055086384
252-45.770.2932213284492-115.993221328449
253-4.80.138494399623778-4.93849439962378
25417.63.2882952236873514.3117047763126
25520.50.15522043080941720.3447795691906
25624.215.81288423588318.3871157641169
257-109-78.9406996185781-30.0593003814219
25820.8111.481773894702-90.6817738947016
25931.2-35.561151168579166.7611511685791
260-8.830.9536610776622-39.7536610776622
26111.8-76.114418929732187.9144189297321
26213-2.4010995272326415.4010995272326
2638.3-35.847328495990444.1473284959904
264-77.9-57.8881904444314-20.0118095555686
265-38.83.65098031649928-42.4509803164993
2666.158.3396498572142-52.2396498572142
26718.13.6890211675565514.4109788324435
26816.817.4511286659816-0.651128665981606
269-128.5-74.6744389692747-53.8255610307253
27015.9105.451985064661-89.5519850646612
27129-25.493520619600454.4935206196004
272-7.222.3733538705356-29.5733538705356
2733.3-55.692077796834658.9920777968346
274-34.8-3.30347575351476-31.4965242464852
275-2.947.8030506547156-50.7030506547156
276-77.840.3539898387709-118.153989838771
277-2.80.693191372853458-3.49319137285346
27826.7-2.1261269715667628.8261269715668
27948.10.39912581484761447.7008741851524
2803029.07609862836530.923901371634681
281-109.6-135.63709357157926.0370935715789
28216132.30418087045-116.30418087045
28326.9-20.221171030541447.1211710305414
28422.121.56566486165640.534335138343586
28527-108.964460198007135.964460198007
286-24.5-10.910368670276-13.589631329724
2871240.4807296282479-28.4807296282479
288-75.2-29.1799943721184-46.0200056278816
2893.5-4.168610037682557.66861003768255
29019.70.79509180819842418.9049081918016
29151.80.15719587113694851.642804128863
29235.325.048112851264510.2518871487355
293-108.2-127.296093596619.0960935965996
29425.3116.58666020702-91.2866602070202
29531.6-9.233479047192640.8334790471926
29619.9-32.525792065880552.4257920658805
29718.8105.209915461317-86.4099154613172
29820.425.8746549630341-5.47465496303414
29915-86.2897959555808101.289795955581
300-55.9102.858381570094-158.758381570094
301-176.03809307193841-23.0380930719384
30233.31.5325988170986931.7674011829013
30333.80.88204478243205732.9179552175679
30437.514.353549328480623.1464506715194
305-104.8-93.6977402185561-11.1022597814439
30629.788.1763450506773-58.4763450506773
30734.2-15.536993638012349.7369936380123
3084.3-0.06690326038190734.36690326038191
30940.24.3794534787328635.8205465212671
310-29.37.41018261905831-36.7101826190583
311-0.23.49359564051941-3.69359564051941
312-954.69077338466291-99.6907733846629
313-13.2-6.20610293951571-6.99389706048428
31438.516.741586960295821.7584130397042
31545.42.1577249867153543.2422750132846
31615.717.9011190650009-2.20111906500086
317-123.6-70.2180495051551-53.3819504948449
3181272.9291756170509-60.9291756170509
31937.558.9179247470176-21.4179247470176
320-31.749.6829391961358-81.3829391961358
32115.8-129.777448284392145.577448284392
322-64.1-31.3673079896208-32.7326920103792
323-42.152.5803520826486-94.6803520826487
324-207.4-37.0821779866678-170.317822013332
325-12.9-21.15626741001788.25626741001781
326-541.3829144693956-46.3829144693956
32753.92.6304812475847451.2695187524153
32819.717.34239559136612.35760440863392
329-94.6-76.6240969437325-17.9759030562675
3303660.5096039449478-24.5096039449478
33151.360.0084084306205-8.7084084306205
33217.443.2216189673981-25.8216189673981
33327.8-216.389275199692244.189275199692
3341.3-66.734063143579468.0340631435794
3353.639.5895706792678-35.9895706792678
336-97.9-75.7002907199742-22.1997092800258
33714.1-15.412221146984829.5122211469848
33850.87.0841030014531643.7158969985468
33963.52.2615616159215861.2384383840784
34058.616.555900326670842.0440996733292
341-135.1-126.265425095898-8.83457490410176
3427.891.5184426452859-83.7184426452859
34325.576.6800245520832-51.1800245520832
34429.643.8179942622999-14.2179942622999
34519.3-222.80271854163242.10271854163
346-26.2-70.99769344710944.797693447109
3477.350.9947804694121-43.6947804694121
348-82.6-115.3716307685132.7716307685098
349-26.1-13.2899178009238-12.8100821990762
35055.356.7777655300698-1.47776553006979
35198.88.3340092113461790.4659907886538
35241.726.03783684908515.662163150915
353-130.2-119.897029301412-10.3029706985875
35451.278.3635695677023-27.1635695677023
35518.483.6603715149597-65.2603715149597
3563247.206717870992-15.206717870992
35721.6-217.658007399134239.258007399134
358-12.5-72.974320204583560.4743202045835
35946.646.15500877512240.444991224877619
360-101.7-154.75214469029553.0521446902953
36115.8-19.53595722749935.3359572274991
3622619.71944450720046.28055549279962
36379.12.0307820774907477.0692179225093
36423.115.55491534023027.54508465976983
365-86.9-65.1166531521134-21.7833468478866
366-11.242.9665810080012-54.1665810080012
36750.728.422718528992822.2772814710072
36813.426.4982675618773-13.0982675618773
36933.7-101.132971180937134.832971180937
370-16.9-29.341387042497712.4413870424977
371-9.621.6460223657366-31.2460223657366


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
372-27.5428441691239-102.45229672913247.3666083908841
373-1.38949566523874-76.702008148909773.9230168184322
374-2.11198790310971-342.148466856015337.924491049795
375-2.59135544552002-116.752126404714111.569415513674
376-2.44903922533884-98.401816682738393.5037382320606
37712.6463321817605-327.943016296997353.235680660518
378-8.15031291553712-203.3599162882187.059290457126
379-13.3675877903667-296.042918912008269.307743331274
380-11.049211750298-232.504673470998210.406249970402
38151.5268882726426-887.085983863107990.139760408393
38235.968595817093-582.599259237827654.536450872013
383-33.6968462266658-846.041416929894778.647724476562