| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.848868141785006 |
| beta | 0.724748156424213 |
| gamma | 0.372296217337072 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 137094 | 136245.097489316 | 848.902510683722 |
| 14 | 137182 | 137587.108287315 | -405.108287314913 |
| 15 | 137400 | 137757.816989631 | -357.816989630664 |
| 16 | 137479 | 137609.035166524 | -130.03516652371 |
| 17 | 137620 | 137634.73541063 | -14.7354106304701 |
| 18 | 137687 | 137682.494489472 | 4.50551052828087 |
| 19 | 137638 | 137630.275100427 | 7.72489957342623 |
| 20 | 137612 | 137760.499360398 | -148.499360397982 |
| 21 | 137681 | 137650.167363576 | 30.8326364242239 |
| 22 | 137772 | 137554.199971884 | 217.800028115831 |
| 23 | 137899 | 137962.812222061 | -63.8122220610094 |
| 24 | 137983 | 138063.239528916 | -80.2395289160777 |
| 25 | 137996 | 138182.121801859 | -186.121801858593 |
| 26 | 137913 | 137882.546806767 | 30.4531932333193 |
| 27 | 137841 | 138001.186200515 | -160.18620051528 |
| 28 | 137656 | 137730.104280805 | -74.1042808054772 |
| 29 | 137423 | 137541.300553551 | -118.300553551438 |
| 30 | 137245 | 137170.044840862 | 74.9551591383934 |
| 31 | 137014 | 136888.966532693 | 125.033467307396 |
| 32 | 136747 | 136893.30775295 | -146.307752949797 |
| 33 | 136313 | 136579.602255038 | -266.602255037986 |
| 34 | 135804 | 135843.360993244 | -39.3609932436084 |
| 35 | 135002 | 135461.312083813 | -459.312083813013 |
| 36 | 134383 | 134425.249951761 | -42.2499517610995 |
| 37 | 133563 | 133793.956684636 | -230.956684636214 |
| 38 | 132837 | 132664.459306159 | 172.540693841001 |
| 39 | 132041 | 132176.350971509 | -135.350971509033 |
| 40 | 131381 | 131229.83857769 | 151.161422309553 |
| 41 | 130995 | 130667.000190616 | 327.999809384026 |
| 42 | 130493 | 130397.270484372 | 95.729515627987 |
| 43 | 130193 | 129861.227426954 | 331.772573046095 |
| 44 | 129962 | 129877.567643324 | 84.4323566756211 |
| 45 | 129726 | 129746.688516209 | -20.6885162092804 |
| 46 | 129505 | 129376.998393568 | 128.001606431542 |
| 47 | 129450 | 129361.37034158 | 88.6296584201773 |
| 48 | 129320 | 129398.988130224 | -78.9881302243157 |
| 49 | 129281 | 129288.372643315 | -7.372643314593 |
| 50 | 129246 | 129071.40552823 | 174.594471770484 |
| 51 | 129438 | 129269.014102928 | 168.985897072125 |
| 52 | 129715 | 129485.494530735 | 229.505469264768 |
| 53 | 130173 | 129935.838442393 | 237.161557606654 |
| 54 | 129981 | 130456.773624833 | -475.773624832611 |
| 55 | 129932 | 129978.126720183 | -46.1267201834271 |
| 56 | 129873 | 129956.519723223 | -83.519723223275 |
| 57 | 129844 | 129870.586228388 | -26.5862283875031 |
| 58 | 130015 | 129694.05704693 | 320.942953069738 |
| 59 | 130108 | 130148.497142395 | -40.4971423951065 |
| 60 | 130260 | 130296.133006436 | -36.1330064362701 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 130481.351369481 | 130036.707404115 | 130925.995334847 |
| 62 | 130540.84294717 | 129752.487658771 | 131329.198235568 |
| 63 | 130742.47678162 | 129527.448830213 | 131957.504733027 |
| 64 | 130867.501400339 | 129161.120393583 | 132573.882407095 |
| 65 | 131030.846609147 | 128777.516848166 | 133284.176370127 |
| 66 | 131071.833926247 | 128221.705712354 | 133921.96214014 |
| 67 | 131075.41880281 | 127582.768675706 | 134568.068929914 |
| 68 | 131173.429513308 | 126995.717396092 | 135351.141630524 |
| 69 | 131295.545450979 | 126392.799995015 | 136198.290906942 |
| 70 | 131311.443539407 | 125645.830631372 | 136977.056447442 |
| 71 | 131425.964599056 | 124961.468509961 | 137890.460688151 |
| 72 | 131585.993158808 | 124288.171943468 | 138883.814374149 |
