| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0718870055767105 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 4 | 4 | 0 |
| 4 | 4 | 4 | 0 |
| 5 | 4 | 4 | 0 |
| 6 | 4 | 4 | 0 |
| 7 | 4 | 4 | 0 |
| 8 | 4 | 4 | 0 |
| 9 | 4.06 | 4 | 0.0599999999999996 |
| 10 | 4.07 | 4.0643132203346 | 0.00568677966539788 |
| 11 | 4.07 | 4.07472202589612 | -0.00472202589612269 |
| 12 | 4.07 | 4.0743825735942 | -0.00438257359419492 |
| 13 | 4.07 | 4.07406752350179 | -0.00406752350178863 |
| 14 | 4.07 | 4.07377512141713 | -0.00377512141713154 |
| 15 | 4.3 | 4.07350373924277 | 0.226496260757234 |
| 16 | 4.44 | 4.31978587720292 | 0.120214122797075 |
| 17 | 4.52 | 4.46842771051884 | 0.051572289481161 |
| 18 | 4.52 | 4.55213508798037 | -0.0321350879803735 |
| 19 | 4.52 | 4.54982499273152 | -0.0298249927315206 |
| 20 | 4.53 | 4.5476809633127 | -0.0176809633127037 |
| 21 | 4.53 | 4.55640993180444 | -0.0264099318044426 |
| 22 | 4.53 | 4.55451140088954 | -0.0245114008895362 |
| 23 | 4.53 | 4.5527493496771 | -0.0227493496770972 |
| 24 | 4.53 | 4.55111396704999 | -0.0211139670499927 |
| 25 | 4.53 | 4.54959614718292 | -0.0195961471829236 |
| 26 | 4.53 | 4.5481874388411 | -0.0181874388411032 |
| 27 | 4.53 | 4.54687999832371 | -0.0168799983237067 |
| 28 | 4.61 | 4.54566654579008 | 0.0643334542099252 |
| 29 | 4.63 | 4.63029128517163 | -0.000291285171633682 |
| 30 | 4.63 | 4.65027034555288 | -0.0202703455528752 |
| 31 | 4.63 | 4.64881317110907 | -0.0188131711090742 |
| 32 | 4.63 | 4.64746074857264 | -0.0174607485726401 |
| 33 | 4.63 | 4.64620554764263 | -0.0162055476426257 |
| 34 | 4.63 | 4.64504057934887 | -0.0150405793488666 |
| 35 | 4.63 | 4.64395935713734 | -0.0139593571373373 |
| 36 | 4.63 | 4.64295586075296 | -0.0129558607529585 |
| 37 | 4.63 | 4.64202450271876 | -0.0120245027187593 |
| 38 | 4.63 | 4.64116009722476 | -0.0111600972247592 |
| 39 | 4.66 | 4.64035783125333 | 0.0196421687466746 |
| 40 | 4.7 | 4.67176984794756 | 0.0282301520524433 |
| 41 | 4.72 | 4.71379922904558 | 0.0062007709544174 |
| 42 | 4.73 | 4.73424498390176 | -0.00424498390176176 |
| 43 | 4.73 | 4.74393982472034 | -0.0139398247203433 |
| 44 | 4.74 | 4.74293773246293 | -0.00293773246293405 |
| 45 | 4.74 | 4.75272654767299 | -0.0127265476729876 |
| 46 | 4.74 | 4.75181167426945 | -0.0118116742694472 |
| 47 | 4.76 | 4.75096256837537 | 0.00903743162463044 |
| 48 | 4.88 | 4.77161224227297 | 0.108387757727032 |
| 49 | 4.88 | 4.89940391361714 | -0.0194039136171389 |
| 50 | 4.88 | 4.89800902437073 | -0.0180090243707332 |
| 51 | 4.88 | 4.89671440953536 | -0.0167144095353633 |
| 52 | 4.89 | 4.89551286068388 | -0.00551286068388368 |
| 53 | 4.97 | 4.90511655763716 | 0.0648834423628424 |
| 54 | 4.97 | 4.98978083402013 | -0.0197808340201311 |
| 55 | 4.97 | 4.98835884909461 | -0.0183588490946143 |
| 56 | 4.97 | 4.98703908640737 | -0.0170390864073671 |
| 57 | 4.97 | 4.98581419750778 | -0.0158141975077788 |
| 58 | 4.97 | 4.98467736220335 | -0.0146773622033463 |
| 59 | 4.97 | 4.98362225058478 | -0.0136222505847829 |
| 60 | 4.97 | 4.98264298778103 | -0.0126429877810272 |
| 61 | 4.97 | 4.98173412124791 | -0.0117341212479065 |
| 62 | 4.97 | 4.98089059040832 | -0.0108905904083203 |
| 63 | 4.97 | 4.9801076984749 | -0.0101076984749033 |
| 64 | 4.98 | 4.97938108629827 | 0.000618913701730506 |
| 65 | 5 | 4.989425578151 | 0.0105744218490011 |
| 66 | 5.03 | 5.01018574167343 | 0.0198142583265728 |
| 67 | 5.04 | 5.04161012937225 | -0.00161012937224836 |
| 68 | 5.04 | 5.05149438199309 | -0.0114943819930868 |
| 69 | 5.05 | 5.05066808529065 | -0.000668085290648435 |
| 70 | 5.05 | 5.06062005863963 | -0.0106200586396339 |
| 71 | 5.06 | 5.05985661442498 | 0.000143385575017696 |
| 72 | 5.06 | 5.06986692198461 | -0.00986692198461281 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 5.06915761850888 | 4.99250344393699 | 5.14581179308076 |
| 74 | 5.07831523701776 | 4.96594581851331 | 5.1906846555222 |
| 75 | 5.08747285552664 | 4.94494636295495 | 5.22999934809833 |
| 76 | 5.09663047403552 | 4.9263444294923 | 5.26691651857873 |
| 77 | 5.1057880925444 | 4.9089678097055 | 5.3026083753833 |
| 78 | 5.11494571105328 | 4.89224144240488 | 5.33764997970167 |
| 79 | 5.12410332956216 | 4.87583941866075 | 5.37236724046357 |
| 80 | 5.13326094807104 | 4.85955985534408 | 5.40696204079799 |
| 81 | 5.14241856657992 | 4.84326997931365 | 5.44156715384619 |
| 82 | 5.1515761850888 | 4.82687868487654 | 5.47627368530105 |
| 83 | 5.16073380359768 | 4.81032149476767 | 5.51114611242769 |
| 84 | 5.16989142210656 | 4.7935517274855 | 5.54623111672762 |
