| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 0.32552255675004 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 6.1 | 6.03467521072268 | 0.0653247892773168 |
| 14 | 6.1 | 6.07200226160909 | 0.0279977383909085 |
| 15 | 6.1 | 6.06829092762826 | 0.0317090723717426 |
| 16 | 6.4 | 6.3793628103621 | 0.0206371896379007 |
| 17 | 6.7 | 6.71297328595974 | -0.0129732859597445 |
| 18 | 6.9 | 6.96258780495377 | -0.0625878049537683 |
| 19 | 7 | 6.72565654791084 | 0.274343452089161 |
| 20 | 7 | 6.71522590731944 | 0.284774092680556 |
| 21 | 6.8 | 7.0296064004095 | -0.229606400409505 |
| 22 | 6.4 | 6.49033861010353 | -0.0903386101035304 |
| 23 | 5.9 | 6.62815115470167 | -0.72815115470167 |
| 24 | 5.5 | 5.90474480817848 | -0.40474480817848 |
| 25 | 5.5 | 5.49512339291347 | 0.00487660708652804 |
| 26 | 5.6 | 5.47712037184531 | 0.122879628154688 |
| 27 | 5.8 | 5.57284229303788 | 0.22715770696212 |
| 28 | 5.9 | 6.06684389281614 | -0.166843892816142 |
| 29 | 6.1 | 6.19054758525098 | -0.0905475852509827 |
| 30 | 6.1 | 6.34147574865495 | -0.241475748654952 |
| 31 | 6 | 5.94889139243784 | 0.051108607562159 |
| 32 | 6 | 5.75946568092377 | 0.240534319076234 |
| 33 | 5.9 | 6.02893705636667 | -0.128937056366667 |
| 34 | 5.5 | 5.63445987453335 | -0.134459874533352 |
| 35 | 5.6 | 5.69950618174338 | -0.0995061817433767 |
| 36 | 5.4 | 5.60574281217049 | -0.205742812170494 |
| 37 | 5.2 | 5.39565284360838 | -0.195652843608376 |
| 38 | 5.2 | 5.17967942696342 | 0.0203205730365772 |
| 39 | 5.2 | 5.17648338536558 | 0.0235166146344223 |
| 40 | 5.5 | 5.44180605772423 | 0.0581939422757731 |
| 41 | 5.8 | 5.77260702468397 | 0.0273929753160287 |
| 42 | 5.8 | 6.03091972050554 | -0.230919720505543 |
| 43 | 5.5 | 5.65760445913547 | -0.157604459135467 |
| 44 | 5.3 | 5.28158556772593 | 0.0184144322740734 |
| 45 | 5.1 | 5.32846851553668 | -0.228468515536680 |
| 46 | 5.2 | 4.87367877624875 | 0.326321223751254 |
| 47 | 5.8 | 5.38995785742395 | 0.410042142576055 |
| 48 | 5.8 | 5.80507747617582 | -0.00507747617581789 |
| 49 | 5.5 | 5.79353504082876 | -0.293535040828759 |
| 50 | 5 | 5.47712037184531 | -0.477120371845312 |
| 51 | 4.9 | 4.97830393152943 | -0.078303931529427 |
| 52 | 5.3 | 5.12928714017827 | 0.170712859821730 |
| 53 | 6.1 | 5.56363674440047 | 0.536363255599533 |
| 54 | 6.5 | 6.34147574865495 | 0.158524251345049 |
| 55 | 6.8 | 6.33727397017434 | 0.462726029825659 |
| 56 | 6.6 | 6.52407386204031 | 0.0759261379596925 |
| 57 | 6.4 | 6.62933866279237 | -0.229338662792369 |
| 58 | 6.4 | 6.10994806096123 | 0.290051939038771 |
| 59 | 6.6 | 6.62815115470167 | -0.0281511547016713 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 60 | 6.60241613219711 | 6.12837130267381 | 7.0764609617204 |
| 61 | 6.59170277523793 | 5.92307451324432 | 7.26033103723154 |
| 62 | 6.55951072183515 | 5.7445335985982 | 7.3744878450721 |
| 63 | 6.52361884705398 | 5.5872057959399 | 7.46003189816806 |
| 64 | 6.82065915547336 | 5.73608647693221 | 7.9052318340145 |
| 65 | 7.1524995940752 | 5.92412672269472 | 8.38087246545567 |
| 66 | 7.43100939387114 | 6.07392679051098 | 8.7880919972313 |
| 67 | 7.24124354089576 | 5.84089796920931 | 8.6415891125822 |
| 68 | 6.94579688858247 | 5.52593118810729 | 8.36566258905765 |
| 69 | 6.97536700846224 | 5.47755632913944 | 8.47317768778505 |
| 70 | 6.65710849172952 | 5.15591423457783 | 8.15830274888121 |
| 71 | 6.89344283064557 | -11.9577368236200 | 25.7446224849111 |
