| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 8.3 | 8.07997007956824 | 0.220029920431765 |
| 14 | 8.4 | 8.43426746081261 | -0.0342674608126092 |
| 15 | 8.5 | 8.54739071645987 | -0.047390716459871 |
| 16 | 8.4 | 8.43035622350465 | -0.0303562235046471 |
| 17 | 8.6 | 8.60559474641173 | -0.00559474641172919 |
| 18 | 8.5 | 8.49295721892293 | 0.00704278107707346 |
| 19 | 8.5 | 8.69981829578405 | -0.199818295784054 |
| 20 | 8.4 | 8.82435023548388 | -0.42435023548388 |
| 21 | 8.5 | 8.40609689016952 | 0.0939031098304799 |
| 22 | 8.5 | 8.19075578313873 | 0.309244216861268 |
| 23 | 8.5 | 8.15634375353828 | 0.343656246461723 |
| 24 | 8.5 | 8.45528640410597 | 0.0447135958940326 |
| 25 | 8.5 | 8.49278217642067 | 0.00721782357932632 |
| 26 | 8.5 | 8.63727271380102 | -0.137272713801021 |
| 27 | 8.5 | 8.6490298203773 | -0.149029820377301 |
| 28 | 8.5 | 8.43035622350465 | 0.0696437764953526 |
| 29 | 8.6 | 8.70792516525251 | -0.107925165252514 |
| 30 | 8.4 | 8.49295721892293 | -0.0929572189229262 |
| 31 | 8.1 | 8.5975842314266 | -0.497584231426604 |
| 32 | 8 | 8.40957090474097 | -0.409570904740971 |
| 33 | 8 | 8.00629629196414 | -0.00629629196413539 |
| 34 | 8 | 7.70952886594114 | 0.290471134058861 |
| 35 | 8 | 7.67711688321123 | 0.322883116788772 |
| 36 | 7.9 | 7.95847111748177 | -0.0584711174817647 |
| 37 | 7.8 | 7.8939557705527 | -0.0939557705527037 |
| 38 | 7.8 | 7.92675432834158 | -0.126754328341577 |
| 39 | 7.9 | 7.9375560929553 | -0.0375560929552980 |
| 40 | 8.1 | 7.83595099474648 | 0.264049005253522 |
| 41 | 8 | 8.29860348988938 | -0.298603489889377 |
| 42 | 7.6 | 7.90110248183964 | -0.301102481839640 |
| 43 | 7.3 | 7.779711716567 | -0.479711716567002 |
| 44 | 7 | 7.58001224325515 | -0.580012243255149 |
| 45 | 6.8 | 7.00679479645068 | -0.206794796450677 |
| 46 | 7 | 6.55458426466691 | 0.445415735333088 |
| 47 | 7.1 | 6.71866314255713 | 0.381336857442871 |
| 48 | 7.2 | 7.0642036015582 | 0.135796398441802 |
| 49 | 7.1 | 7.19532496370674 | -0.0953249637067382 |
| 50 | 6.9 | 7.21623594288213 | -0.316235942882132 |
| 51 | 6.7 | 7.02280415769844 | -0.322804157698437 |
| 52 | 6.7 | 6.64714053723014 | 0.0528594627698622 |
| 53 | 6.6 | 6.8659776261184 | -0.265977626118402 |
| 54 | 6.9 | 6.52010809531197 | 0.379891904688026 |
| 55 | 7.3 | 7.06407326606485 | 0.235926733935149 |
| 56 | 7.5 | 7.58001224325515 | -0.0800122432551493 |
| 57 | 7.3 | 7.50654554420741 | -0.206545544207406 |
| 58 | 7.1 | 7.0358111818645 | 0.0641888181354933 |
| 59 | 6.9 | 6.81450851662254 | 0.085491483377461 |
| 60 | 7.1 | 6.86547748690852 | 0.234522513091482 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 7.09552056272874 | 6.60317306096586 | 7.58786806449162 |
| 62 | 7.21168919639965 | 6.5101538993859 | 7.91322449341339 |
| 63 | 7.33960226392647 | 6.47310135916163 | 8.20610316869132 |
| 64 | 7.28077875390257 | 6.2911864783745 | 8.27037102943063 |
| 65 | 7.46029095752519 | 6.33429183455903 | 8.58629008049134 |
| 66 | 7.36872022611397 | 6.15377584212470 | 8.58366461010323 |
| 67 | 7.54326500368659 | 6.20715638674061 | 8.87937362063257 |
| 68 | 7.83226548181089 | 6.36190882902417 | 9.30262213459761 |
| 69 | 7.83864539018489 | 6.28874223065994 | 9.38854854970984 |
| 70 | 7.55423250302725 | 5.98337111540882 | 9.12509389064568 |
| 71 | 7.24986935827568 | 5.66581401870262 | 8.83392469784873 |
| 72 | 7.21311837793403 | -41.5234791561844 | 55.9497159120525 |
