| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 0.246754817664138 |
| 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 | -0.166843892816141 |
| 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 | -0.0995061817433776 |
| 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 | -0.005077476175817 |
| 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 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 59 | 6.62815115470167 | 6.14889022584609 | 7.10741208355725 |
| 60 | 6.6304736370162 | 5.95382276644273 | 7.30712450758968 |
| 61 | 6.61961172940279 | 5.79334783370942 | 7.44587562509615 |
| 62 | 6.58718160749335 | 5.63807390964351 | 7.53628930534319 |
| 63 | 6.55103785208851 | 5.4954946166103 | 7.60658108756672 |
| 64 | 6.84922234805195 | 5.64972625073375 | 8.04871844537015 |
| 65 | 7.1823438858699 | 5.84053919001367 | 8.52414858172612 |
| 66 | 7.46190380961345 | 5.99252866692951 | 8.9312789522974 |
| 67 | 7.27124067295492 | 5.76619521594528 | 8.77628612996456 |
| 68 | 6.97446695431055 | 5.45826589530098 | 8.49066801332013 |
| 69 | 7.00405626432803 | 5.41294495984037 | 8.59516756881568 |
| 70 | 6.6843912962127 | -11.7859559638598 | 25.1547385562852 |
