| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.936452106375678 |
| beta | 0.0510905500579434 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 314.65 | 314.062847222222 | 0.58715277777776 |
| 14 | 314.93 | 314.944605086629 | -0.0146050866285918 |
| 15 | 315.27 | 315.250896767763 | 0.0191032322372280 |
| 16 | 316.26 | 316.189251980674 | 0.0707480193264018 |
| 17 | 316.98 | 316.934354921089 | 0.0456450789106384 |
| 18 | 317.01 | 316.974800663199 | 0.0351993368010994 |
| 19 | 317.07 | 317.521731873344 | -0.451731873343817 |
| 20 | 317.07 | 317.008979399313 | 0.0610206006868452 |
| 21 | 317 | 315.345147853634 | 1.65485214636630 |
| 22 | 317.08 | 317.660121052635 | -0.580121052634752 |
| 23 | 317.04 | 317.290643665247 | -0.250643665247367 |
| 24 | 317 | 317.160630979219 | -0.160630979218752 |
| 25 | 317.05 | 317.12245464656 | -0.0724546465602316 |
| 26 | 321.59 | 317.365331949859 | 4.22466805014091 |
| 27 | 325.59 | 321.863515789339 | 3.72648421066077 |
| 28 | 326.23 | 326.674186844677 | -0.444186844676494 |
| 29 | 326.28 | 327.308095438622 | -1.02809543862173 |
| 30 | 326.35 | 326.663611653322 | -0.313611653322425 |
| 31 | 326.35 | 327.157507009326 | -0.807507009326116 |
| 32 | 326.35 | 326.631703231131 | -0.281703231131246 |
| 33 | 326.39 | 325.019345371704 | 1.37065462829599 |
| 34 | 326.74 | 327.183689765782 | -0.443689765782096 |
| 35 | 326.9 | 327.226975135375 | -0.326975135375335 |
| 36 | 326.9 | 327.291613605373 | -0.391613605373038 |
| 37 | 326.91 | 327.292097232676 | -0.382097232676358 |
| 38 | 336.93 | 327.752628392116 | 9.17737160788408 |
| 39 | 348.5 | 337.328626011022 | 11.1713739889783 |
| 40 | 349.43 | 349.673737268367 | -0.243737268367397 |
| 41 | 349.26 | 351.295536257096 | -2.03553625709628 |
| 42 | 349.26 | 350.542121612269 | -1.28212161226890 |
| 43 | 349.28 | 350.840415796707 | -1.56041579670750 |
| 44 | 349.61 | 350.349688692796 | -0.73968869279588 |
| 45 | 349.66 | 349.098267426951 | 0.561732573048914 |
| 46 | 349.68 | 351.035909528238 | -1.35590952823844 |
| 47 | 349.91 | 350.834829874594 | -0.924829874593968 |
| 48 | 349.91 | 350.909362827614 | -0.99936282761422 |
| 49 | 350.89 | 350.886110547945 | 0.00388945205457958 |
| 50 | 355.52 | 352.878838337511 | 2.64116166248863 |
| 51 | 356.36 | 356.711240044503 | -0.351240044503186 |
| 52 | 357.04 | 357.239819596813 | -0.199819596812972 |
| 53 | 360.28 | 358.490232274139 | 1.78976772586083 |
| 54 | 360.63 | 361.251278741752 | -0.621278741752121 |
| 55 | 360.79 | 362.066722110706 | -1.27672211070580 |
| 56 | 360.97 | 361.823375530047 | -0.853375530047117 |
| 57 | 361 | 360.472314844537 | 0.527685155463473 |
| 58 | 361.01 | 362.178702372381 | -1.16870237238078 |
| 59 | 361 | 362.111775488561 | -1.11177548856091 |
| 60 | 361 | 361.929010247339 | -0.92901024733942 |
| 61 | 361.58 | 361.961264129234 | -0.381264129234182 |
| 62 | 363.19 | 363.668349669231 | -0.47834966923125 |
| 63 | 363.61 | 364.147510690169 | -0.537510690168517 |
| 64 | 364.14 | 364.260560345816 | -0.120560345815932 |
| 65 | 365.51 | 365.464702858521 | 0.0452971414790682 |
| 66 | 365.51 | 366.108530313146 | -0.598530313145659 |
| 67 | 365.5 | 366.574323887690 | -1.07432388769041 |
| 68 | 365.5 | 366.227799280841 | -0.727799280841396 |
| 69 | 364.59 | 364.768489235643 | -0.178489235642758 |
| 70 | 364.63 | 365.358381309089 | -0.728381309088775 |
| 71 | 364.54 | 365.381083148135 | -0.841083148135226 |
| 72 | 363.67 | 365.150045182103 | -1.48004518210251 |
| 73 | 365.22 | 364.361348232872 | 0.858651767128322 |
| 74 | 369.05 | 366.942967280499 | 2.10703271950075 |
| 75 | 370.45 | 369.682731418725 | 0.767268581274834 |
| 76 | 370.46 | 370.949842247384 | -0.489842247384161 |
| 77 | 370.46 | 371.706743530168 | -1.24674353016763 |
| 78 | 370.58 | 370.925940384150 | -0.345940384150424 |
| 79 | 370.58 | 371.43633901222 | -0.85633901222036 |
| 80 | 370.22 | 371.164699308334 | -0.944699308333838 |
| 81 | 370.21 | 369.375534537074 | 0.834465462926005 |
| 82 | 370.29 | 370.765883609822 | -0.47588360982212 |
| 83 | 370.29 | 370.916773870737 | -0.626773870736827 |
| 84 | 370.2 | 370.7549733532 | -0.554973353200239 |
| 85 | 370.2 | 370.934591898066 | -0.73459189806573 |
| 86 | 372.55 | 371.980730389782 | 0.569269610218157 |
| 87 | 374.51 | 372.998925174157 | 1.51107482584308 |
| 88 | 375.58 | 374.721886076732 | 0.858113923267638 |
| 89 | 375.75 | 376.596673584464 | -0.846673584463588 |
| 90 | 375.75 | 376.170591123898 | -0.420591123898419 |
| 91 | 375.75 | 376.497906772331 | -0.747906772331476 |
| 92 | 375.69 | 376.246639993924 | -0.556639993924477 |
| 93 | 375.76 | 374.876949048279 | 0.883050951721032 |
| 94 | 377.5 | 376.17486338747 | 1.32513661252989 |
| 95 | 377.51 | 378.034239024749 | -0.524239024749477 |
| 96 | 377.74 | 378.009430867254 | -0.269430867253845 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 378.495103963035 | 374.747881657762 | 382.242326268308 |
| 98 | 380.397228013070 | 375.139301533829 | 385.655154492312 |
| 99 | 381.000160533465 | 374.472943356632 | 387.527377710299 |
| 100 | 381.25226402429 | 373.572271941374 | 388.932256107205 |
| 101 | 382.159763891063 | 373.39373756367 | 390.925790218457 |
| 102 | 382.538766066849 | 372.727972757363 | 392.349559376335 |
| 103 | 383.244406371056 | 372.415191001902 | 394.073621740209 |
| 104 | 383.746717239580 | 371.915900624742 | 395.577533854417 |
| 105 | 383.057458291688 | 370.235410955174 | 395.879505628202 |
| 106 | 383.581958735416 | 369.774489103352 | 397.38942836748 |
| 107 | 384.044911248571 | 369.254493244106 | 398.835329253035 |
| 108 | 384.514329740868 | 368.740936860126 | 400.287722621609 |
