Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.435378644958913
beta0
gamma0.382502042123754


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1370.24970.7213266559829-0.472326655982897
1439.25339.6707298598797-0.417729859879742
1547.0647.4463200095497-0.386320009549735
1641.69741.8418353372948-0.144835337294772
1738.70838.53898793442450.169012065575487
1849.26748.94711632187310.319883678126878
1939.01839.9350143208905-0.917014320890452
2032.22835.0510183451432-2.82301834514322
2140.8739.77602225336391.09397774663606
2239.38335.60665261233293.77634738766715
2334.57131.16692109755953.40407890244052
2412.06612.3869868341272-0.320986834127234
2570.93871.0438556667499-0.105855666749918
2634.07740.1646037190586-6.08760371905856
2745.40945.4784354191852-0.0694354191852398
2840.80940.06406869052770.744931309472328
2937.01337.2163879383318-0.203387938331844
3044.95347.4949648810314-2.54196488103145
3137.84836.96974372933170.878256270668274
3232.74532.4557327885040.289267211495989
3343.41239.38170839419494.03029160580512
3434.93137.0700553120875-2.13905531208749
3533.00829.9744853995363.03351460046402
368.6210.2287172959361-1.60871729593615
3768.90668.3713974096740.534602590326045
3839.55636.47911623375163.07688376624843
3950.66947.08270679126273.58629320873729
4036.43243.435844061486-7.00384406148601
4140.89137.00970459799863.88129540200137
4248.42848.5616057325946-0.133605732594653
4336.22239.8235938543359-3.60159385433592
4433.42533.23194856357920.193051436420781
4539.40140.9239785044995-1.5229785044995
4637.96734.86216362444433.10483637555565
4734.80131.16678599643053.63421400356955
4812.65710.67997223397671.97702776602326
4969.11670.8466994435275-1.73069944352753
5041.51938.51720760673643.00179239326356
5151.32149.1981215408982.12287845910204
5238.52942.6269798164402-4.09797981644024
5341.54739.81684233033641.73015766966364
5452.07349.56509056811242.50790943188758
5538.40141.2281606757658-2.82716067576583
5640.89835.7932121237165.10478787628404
5740.43945.2530982565119-4.81409825651187
5841.88838.75786384340653.13013615659347
5937.89835.18783026213922.71016973786079
608.77113.9408068009522-5.16980680095217
6168.18470.1952013857282-2.01120138572821
6250.5338.765655677378611.7643443226214
6347.22153.0717795905147-5.85077959051474
6441.75641.68556599961990.0704340003800539
6545.63341.94896285613373.68403714386628
6648.13852.7158586231759-4.57785862317593
6739.48640.1417278336604-0.655727833660372
6839.34137.36522834966131.97577165033875
6941.11743.3206374909453-2.20363749094525
7041.62939.67764889123751.95135110876252
7129.72235.5036978206959-5.78169782069586
727.0548.8576673234992-1.8036673234992
7356.67667.2597674412836-10.5837674412836
7434.8735.0729979096539-0.20299790965386
7535.11740.3644790288423-5.24747902884235
7630.16930.5197271390595-0.35072713905954
7730.93631.3801850410275-0.444185041027488
7835.69938.5654291363627-2.86642913636274
7933.22827.5834761614725.64452383852799
8027.73328.1182935552999-0.385293555299906
8133.66632.14312326059481.52287673940519
8235.42931.01992736743524.40907263256484
8327.43826.24591830103141.19208169896859
848.173.495253039042424.67474696095758
8563.4162.82168851587970.588311484120339
8638.0437.74092612840970.299073871590295
8745.38942.16154793785633.22745206214368
8837.35337.06414579656850.288854203431491
8937.02438.1828797638392-1.15887976383923
9050.95744.53383183695466.42316816304544
9137.99439.4344716288755-1.44047162887547
9236.45435.58238074118570.871619258814306
9346.0840.56654873376535.51345126623468
9443.37341.80409209587711.56890790412287
9537.39535.09876621838652.29623378161354
9610.96313.5809723056863-2.61797230568633
9776.05868.84977089677327.20822910322683
9850.17946.5887129657873.59028703421296
9957.45253.07469708846924.37730291153076
10047.56847.8432699359838-0.275269935983808
10150.0548.40373090133661.64626909866343
10250.85657.6134708391524-6.75747083915241
10341.99245.0772408653798-3.08524086537979
10439.28441.0083921200526-1.72439212005261
10544.52145.8648031836572-1.3438031836572
10643.83243.26494601463670.567053985363344
10741.15336.28051404803414.87248595196591
10817.114.82305001788812.27694998211193


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
10974.345146378248967.553242446412981.1370503100848
11048.164416743461740.756711072273155.5721224146502
11153.257237453566945.281132664722361.2333422424115
11245.115215416855336.608606698082653.621824135628
11346.210515554386837.204598822261755.2164322865118
11452.888559273655743.409599389911162.3675191574003
11544.087474976270634.157982301953954.0169676505874
11641.655775117820931.295322952930652.0162272827113
11747.345145030036436.570957666125858.119332393947
11845.743036640731134.570424697039556.9156485844228
11939.441560545505727.884251086293750.9988700047177
12015.30216533988273.3725573736643627.2317733061011