| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.946034419946908 |
| gamma | 0 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 8.1 | 8.22384559327192 | -0.123845593271925 |
| 14 | 7.9 | 7.76712331010274 | 0.132876689897259 |
| 15 | 8.6 | 8.59220925982812 | 0.00779074017188108 |
| 16 | 8.7 | 8.70386313482342 | -0.00386313482342437 |
| 17 | 8.7 | 8.70449187515322 | -0.00449187515321725 |
| 18 | 8.5 | 8.4918825602062 | 0.00811743979380708 |
| 19 | 8.4 | 8.23999014603631 | 0.160009853963686 |
| 20 | 8.5 | 8.61217005966233 | -0.112170059662327 |
| 21 | 8.7 | 8.75533243442093 | -0.0553324344209294 |
| 22 | 8.7 | 8.8480082867998 | -0.148008286799808 |
| 23 | 8.6 | 8.52159398269485 | 0.078406017305154 |
| 24 | 8.5 | 8.27706044924263 | 0.222939550757374 |
| 25 | 8.3 | 8.5530156898059 | -0.253015689805892 |
| 26 | 8 | 7.99856163242326 | 0.00143836757673910 |
| 27 | 8.2 | 8.60570013405751 | -0.405700134057511 |
| 28 | 8.1 | 7.80855113024075 | 0.291448869759249 |
| 29 | 8.1 | 7.89340754464655 | 0.206592455353447 |
| 30 | 8 | 7.89514424473911 | 0.104855755260888 |
| 31 | 7.9 | 7.8334550088854 | 0.0665449911145988 |
| 32 | 7.9 | 8.0983050426575 | -0.198305042657497 |
| 33 | 8 | 8.04695829630531 | -0.0469582963053128 |
| 34 | 8 | 8.04873041837974 | -0.0487304183797423 |
| 35 | 7.9 | 7.83126078561202 | 0.0687392143879819 |
| 36 | 8 | 7.5956800512799 | 0.404319948720105 |
| 37 | 7.7 | 8.22524514176846 | -0.525245141768457 |
| 38 | 7.2 | 7.32556085376415 | -0.125560853764153 |
| 39 | 7.5 | 7.5093345474902 | -0.00933454749020335 |
| 40 | 7.3 | 7.25073247499328 | 0.0492675250067167 |
| 41 | 7 | 7.01443591757384 | -0.0144359175738371 |
| 42 | 7 | 6.54087938112092 | 0.459120618879081 |
| 43 | 7 | 6.917643419742 | 0.0823565802580015 |
| 44 | 7.2 | 7.26062819528953 | -0.060628195289528 |
| 45 | 7.3 | 7.5329031591577 | -0.232903159157704 |
| 46 | 7.1 | 7.363972770967 | -0.263972770966996 |
| 47 | 6.8 | 6.76011236605954 | 0.039887633940463 |
| 48 | 6.4 | 6.33306580227634 | 0.066934197723656 |
| 49 | 6.1 | 6.134645545948 | -0.0346455459480026 |
| 50 | 6.5 | 5.72339059684669 | 0.776609403153308 |
| 51 | 7.7 | 7.62745500837724 | 0.072544991622765 |
| 52 | 7.9 | 8.41854842685904 | -0.518548426859036 |
| 53 | 7.5 | 8.04203908818125 | -0.542039088181253 |
| 54 | 6.9 | 6.95925513133752 | -0.0592551313375207 |
| 55 | 6.6 | 6.27946971497574 | 0.320530285024256 |
| 56 | 6.9 | 6.54076500308491 | 0.359234996915093 |
| 57 | 7.7 | 7.30736517016234 | 0.392634829837657 |
| 58 | 8 | 8.4538790675717 | -0.453879067571698 |
| 59 | 8 | 8.15596012961007 | -0.155960129610072 |
| 60 | 7.7 | 7.80113053625897 | -0.101130536258967 |
| 61 | 7.3 | 7.56383460394904 | -0.263834603949042 |
| 62 | 7.4 | 6.82157845836439 | 0.578421541635613 |
| 63 | 8.1 | 8.32565682809922 | -0.225656828099220 |
| 64 | 8.3 | 8.25519000235552 | 0.0448099976444816 |
| 65 | 8.2 | 8.4072242969027 | -0.207224296902703 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 66 | 7.91711188480816 | 7.39548951032475 | 8.43873425929157 |
| 67 | 7.5841860352756 | 6.47209967500377 | 8.69627239554743 |
| 68 | 7.54758634839917 | 5.68577145830018 | 9.40940123849816 |
| 69 | 7.63991019529805 | 4.86148301889184 | 10.4183373717043 |
| 70 | 7.68069118577456 | 3.87062856311159 | 11.4907538084375 |
| 71 | 7.55736030383841 | 2.69823572605404 | 12.4164848816228 |
| 72 | 7.24303367546874 | 1.41872732165626 | 13.0673400292812 |
| 73 | 7.07913824414066 | 0.145011670375313 | 14.0132648179060 |
| 74 | 6.81713212553776 | -1.15384525418308 | 14.7881095052586 |
| 75 | 7.3266164163001 | -2.73398447683928 | 17.3872173094395 |
| 76 | 7.32012762070259 | -4.32530740834014 | 18.9655626497453 |
| 77 | 7.23227551626457 | -7.64987985244062 | 22.1144308849698 |
