| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.848868141789721 |
| beta | 0.724748156429199 |
| gamma | 0.372296217430524 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 137094 | 136245.097489316 | 848.902510683751 |
| 14 | 137182 | 137587.108287325 | -405.10828732542 |
| 15 | 137400 | 137757.816989627 | -357.816989627376 |
| 16 | 137479 | 137609.035166518 | -130.035166517831 |
| 17 | 137620 | 137634.735410628 | -14.735410627909 |
| 18 | 137687 | 137682.494489472 | 4.50551052833907 |
| 19 | 137638 | 137630.275100427 | 7.72489957290236 |
| 20 | 137612 | 137760.499360398 | -148.499360398273 |
| 21 | 137681 | 137650.167363574 | 30.8326364259701 |
| 22 | 137772 | 137554.199971884 | 217.800028115744 |
| 23 | 137899 | 137962.812222064 | -63.8122220638907 |
| 24 | 137983 | 138063.239528916 | -80.2395289157867 |
| 25 | 137996 | 138182.121801868 | -186.121801867819 |
| 26 | 137913 | 137882.546806743 | 30.4531932568934 |
| 27 | 137841 | 138001.18620052 | -160.186200519995 |
| 28 | 137656 | 137730.104280811 | -74.1042808110651 |
| 29 | 137423 | 137541.300553552 | -118.300553551817 |
| 30 | 137245 | 137170.044840859 | 74.9551591413037 |
| 31 | 137014 | 136888.966532692 | 125.033467307629 |
| 32 | 136747 | 136893.307752949 | -146.307752949302 |
| 33 | 136313 | 136579.60225504 | -266.602255039674 |
| 34 | 135804 | 135843.360993242 | -39.3609932418622 |
| 35 | 135002 | 135461.312083807 | -459.312083806755 |
| 36 | 134383 | 134425.249951756 | -42.2499517561519 |
| 37 | 133563 | 133793.956684645 | -230.9566846448 |
| 38 | 132837 | 132664.459306141 | 172.54069385858 |
| 39 | 132041 | 132176.350971511 | -135.350971510576 |
| 40 | 131381 | 131229.838577698 | 151.161422302015 |
| 41 | 130995 | 130667.000190619 | 327.999809380693 |
| 42 | 130493 | 130397.270484378 | 95.7295156223117 |
| 43 | 130193 | 129861.227426954 | 331.772573046095 |
| 44 | 129962 | 129877.567643321 | 84.4323566786334 |
| 45 | 129726 | 129746.688516213 | -20.6885162131512 |
| 46 | 129505 | 129376.998393575 | 128.001606425154 |
| 47 | 129450 | 129361.370341571 | 88.6296584294614 |
| 48 | 129320 | 129398.988130232 | -78.9881302324939 |
| 49 | 129281 | 129288.372643319 | -7.372643319497 |
| 50 | 129246 | 129071.40552822 | 174.594471779521 |
| 51 | 129438 | 129269.014102922 | 168.98589707783 |
| 52 | 129715 | 129485.494530749 | 229.505469250536 |
| 53 | 130173 | 129935.8384424 | 237.161557599902 |
| 54 | 129981 | 130456.773624832 | -475.773624832174 |
| 55 | 129932 | 129978.126720179 | -46.1267201792361 |
| 56 | 129873 | 129956.519723211 | -83.5197232108476 |
| 57 | 129844 | 129870.586228388 | -26.5862283878814 |
| 58 | 130015 | 129694.05704694 | 320.942953059712 |
| 59 | 130108 | 130148.497142389 | -40.4971423894312 |
| 60 | 130260 | 130296.13300644 | -36.133006439879 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 130481.351369488 | 130036.707404122 | 130925.995334854 |
| 62 | 130540.842947175 | 129752.487658772 | 131329.198235578 |
| 63 | 130742.476781618 | 129527.448830201 | 131957.504733034 |
| 64 | 130867.501400343 | 129161.120393572 | 132573.882407115 |
| 65 | 131030.846609155 | 128777.516848153 | 133284.176370158 |
| 66 | 131071.833926247 | 128221.705712325 | 133921.962140169 |
| 67 | 131075.41880282 | 127582.768675679 | 134568.06892996 |
| 68 | 131173.42951331 | 126995.717396049 | 135351.141630571 |
| 69 | 131295.545450979 | 126392.799994962 | 136198.290906997 |
| 70 | 131311.443539419 | 125645.830631321 | 136977.056447517 |
| 71 | 131425.964599056 | 124961.468509889 | 137890.460688224 |
| 72 | 131585.99315881 | 124288.171943387 | 138883.814374233 |
