Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.904662245210055
beta0
gamma1


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1328.5328.48438451095920.0456154890408484
1428.4828.47471367742330.00528632257673323
1528.6828.67854018522030.00145981477971446
1628.8928.8955535455549-0.00555354555487853
1729.229.2184864385603-0.0184864385603198
1829.2129.212054124888-0.00205412488804413
1929.1529.11256582154910.0374341784508658
2029.2229.2525160640695-0.0325160640695294
2129.3429.26849088244570.0715091175543456
2229.1329.3851511236541-0.255151123654134
2328.8428.9167489961306-0.0767489961305863
2428.7628.289485824530.470514175469994
2528.7528.7715893124228-0.0215893124228437
2628.8928.69681215271330.193187847286744
2728.8229.072926610257-0.252926610256992
2829.1229.06034004049880.0596599595012464
2929.2129.4435337486181-0.233533748618118
3029.329.24413052943420.0558694705657636
3129.3229.20051778200140.119482217998637
3229.5229.40853593515350.111464064846501
3329.6429.56516544238060.0748345576193721
3429.5429.6536552021166-0.113655202116558
3529.5429.32699254096390.213007459036096
3629.3429.00132497029230.338675029707726
3729.3429.3173311224750.0226688775250352
3829.5429.30214627197850.23785372802153
3929.9429.67928505829160.260714941708446
4030.1730.1703250985329-0.000325098532918844
4130.2330.4818197008414-0.251819700841441
4230.3430.29468987159130.0453101284086515
4330.3430.24425859765020.0957414023497734
4430.3630.4332466154967-0.0732466154967142
4530.330.420625641373-0.120625641373039
4630.2830.3142334729633-0.0342334729632618
4729.8930.0854563526378-0.195456352637827
4829.5829.39552681613690.184473183863116
4929.6829.54171166468450.138288335315522
5029.7329.65124892961460.0787510703854011
5130.0729.88742011516660.18257988483338
5230.3230.28373511076930.0362648892306972
5330.5530.6055468315375-0.0555468315374732
5430.6230.624989108218-0.00498910821798759
5530.6730.53298968378330.137010316216717
5630.7930.74403555349560.0459644465044491
5730.830.8353209901379-0.0353209901379365
5830.530.8144341748607-0.314434174860718
5930.0730.3148880877644-0.244888087764416
6029.4129.613084124808-0.203084124808043
6129.4229.40435435582130.0156456441787185
6229.9929.39747688842090.592523111579059
6330.1430.10940440378210.0305955962178608
6430.4130.35474554283880.0552544571611655
6530.7830.68574402560940.0942559743906273
6630.8830.84603071609360.0339692839064263
6730.9230.80209890438760.117901095612368
6830.9330.987743490184-0.0577434901840128
6931.6230.97763018359640.642369816403612
7031.4831.5424243152516-0.0624243152515653
7131.331.27041831699890.0295816830011333
7231.1130.80114302290860.308856977091356
7331.1631.07589051308860.0841094869114336
7431.2231.18659317964910.0334068203509403
7531.6631.34393987715550.316060122844501
7632.1131.86050698174910.249493018250877
7732.2732.3863416726684-0.116341672668405
7832.3632.35349588717790.00650411282207131
7932.4232.2892499297470.130750070252986
8032.5232.47252087204620.047479127953757
8132.4132.6284881100679-0.21848811006786
8231.8732.3450241047971-0.475024104797125
8331.0431.7055973060308-0.665597306030765
8430.5830.6367600677434-0.0567600677433546


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
8530.559822463639330.155627074844130.9640178524345
8630.589116665212830.04386837720231.1343649532236
8730.739906369008930.081451190356831.398361547661
8830.95766012826530.200768895260631.7145513612694
8931.213532202699730.367698345249232.0593660601502
9031.295055302319630.37173926524732.2183713393921
9131.238806336287430.247339246668932.2302734259059
9231.293948702005930.235750985389532.3521464186224
9331.378365523032530.256298373982932.5004326720821
9431.271177657382430.094753455870832.4476018588941
9531.046486016059829.822611084962432.2703609471572
9630.6377392236807-51.2633411824022112.538819629764