| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 1 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 7.9 | 7.54485690255072 | 0.355143097449276 |
| 14 | 7.6 | 7.9583753600631 | -0.358375360063103 |
| 15 | 7.6 | 7.6 | -8.88178419700125e-16 |
| 16 | 8.3 | 8.28734756097561 | 0.0126524390243912 |
| 17 | 8.4 | 8.39151515151516 | 0.00848484848484432 |
| 18 | 8.4 | 8.41266968325791 | -0.0126696832579114 |
| 19 | 8.4 | 8.60279870828849 | -0.202798708288487 |
| 20 | 8.4 | 8.27211959423385 | 0.127880405766152 |
| 21 | 8.6 | 8.39909643753924 | 0.200903562460763 |
| 22 | 8.9 | 8.79618983094593 | 0.103810169054075 |
| 23 | 8.8 | 8.98232931726907 | -0.182329317269073 |
| 24 | 8.3 | 8.60118740657386 | -0.301187406573861 |
| 25 | 7.5 | 7.93479492873633 | -0.434794928736326 |
| 26 | 7.2 | 6.5623107267289 | 0.637689273271094 |
| 27 | 7.4 | 7.18491873650457 | 0.215081263495430 |
| 28 | 8.8 | 8.28579375267437 | 0.51420624732563 |
| 29 | 9.3 | 9.61602621010358 | -0.316026210103576 |
| 30 | 9.3 | 9.70384342801068 | -0.403843428010676 |
| 31 | 8.7 | 9.5245271413194 | -0.824527141319397 |
| 32 | 8.2 | 7.95314850125848 | 0.246851498741519 |
| 33 | 8.3 | 7.69476148906675 | 0.60523851093325 |
| 34 | 8.5 | 8.39557782914431 | 0.104422170855692 |
| 35 | 8.6 | 8.49355421686746 | 0.106445783132536 |
| 36 | 8.5 | 8.59333011416109 | -0.0933301141610894 |
| 37 | 8.2 | 8.51806716099568 | -0.318067160995684 |
| 38 | 8.1 | 7.7159694152301 | 0.384030584769903 |
| 39 | 7.9 | 8.30988091697806 | -0.409880916978059 |
| 40 | 8.6 | 8.3979454161318 | 0.202054583868204 |
| 41 | 8.7 | 8.66716915508926 | 0.0328308449107393 |
| 42 | 8.7 | 8.70954587581093 | -0.00954587581093058 |
| 43 | 8.5 | 8.91004151929879 | -0.410041519298787 |
| 44 | 8.4 | 8.1657958965754 | 0.234204103424608 |
| 45 | 8.5 | 8.29822514516636 | 0.201774854833642 |
| 46 | 8.7 | 8.59545197482787 | 0.104548025172129 |
| 47 | 8.7 | 8.6887751004016 | 0.0112248995983961 |
| 48 | 8.6 | 8.59725876036748 | 0.00274123963252393 |
| 49 | 8.5 | 8.61939915186189 | -0.119399151861886 |
| 50 | 8.3 | 8.19694139324851 | 0.103058606751489 |
| 51 | 8 | 8.42190687992139 | -0.421906879921387 |
| 52 | 8.2 | 8.39872232028242 | -0.198722320282416 |
| 53 | 8.1 | 7.75313925558694 | 0.346860744413058 |
| 54 | 8.1 | 7.91552090715804 | 0.184479092841961 |
| 55 | 8 | 8.29555589727818 | -0.295555897278181 |
| 56 | 7.9 | 7.77580848142781 | 0.124191518572191 |
| 57 | 7.9 | 7.79827892864616 | 0.101721071353839 |
| 58 | 8 | 7.8950287545009 | 0.104971245499104 |
| 59 | 8 | 7.9071686746988 | 0.0928313253012085 |
| 60 | 7.9 | 7.90552529688963 | -0.00552529688963332 |
| 61 | 8 | 7.91007521579845 | 0.0899247842015463 |
| 62 | 7.7 | 7.89757326654945 | -0.197573266549445 |
| 63 | 7.2 | 7.70377031587386 | -0.503770315873858 |
| 64 | 7.5 | 7.30983566003424 | 0.190164339965764 |
| 65 | 7.3 | 7.21924482619473 | 0.080755173805267 |
| 66 | 7 | 7.02371476857656 | -0.0237147685765633 |
| 67 | 7 | 6.86452406581578 | 0.135475934184220 |
| 68 | 7 | 6.89343299519487 | 0.106567004805127 |
| 69 | 7.2 | 6.9992470312827 | 0.200752968717303 |
| 70 | 7.3 | 7.39707081116096 | -0.0970708111609593 |
| 71 | 7.1 | 7.22389558232931 | -0.123895582329315 |
| 72 | 6.8 | 6.82637286098008 | -0.0263728609800795 |
| 73 | 6.4 | 6.60511919100673 | -0.205119191006725 |
| 74 | 6.1 | 5.8660319602411 | 0.233968039758905 |
| 75 | 6.5 | 6.04344526189214 | 0.45655473810786 |
| 76 | 7.7 | 7.52093161638853 | 0.179068383611465 |
| 77 | 7.9 | 8.38669837243712 | -0.486698372437122 |
| 78 | 7.5 | 8.01801232077631 | -0.518012320776311 |
| 79 | 6.9 | 7.27510379824697 | -0.375103798246966 |
| 80 | 6.6 | 6.18055144535123 | 0.419448554648769 |
| 81 | 6.9 | 6.2966761809479 | 0.603323819052103 |
| 82 | 7.7 | 7.19806037591188 | 0.501939624088116 |
| 83 | 8 | 8.30267068273092 | -0.302670682730922 |
| 84 | 8 | 8.19019655690384 | -0.190196556903835 |
| 85 | 7.7 | 8.1065592692964 | -0.406559269296396 |
| 86 | 7.3 | 7.22825684978167 | 0.0717431502183272 |
| 87 | 7.4 | 7.19317438357404 | 0.206825616425958 |
| 88 | 8.1 | 8.17752660997005 | -0.0775266099700502 |
| 89 | 8.3 | 8.20774581579908 | 0.0922541842009164 |
| 90 | 8.2 | 8.41384724418034 | -0.213847244180336 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 91 | 8.2964785483623 | 7.7194606008618 | 8.87349649586279 |
| 92 | 8.26896880482038 | 6.97418270942029 | 9.56375490022047 |
| 93 | 8.2403299031477 | 6.0665713873039 | 10.4140884189915 |
| 94 | 8.20627626050421 | 5.01569259002946 | 11.3968599309790 |
| 95 | 7.97669642857143 | 3.74659520416572 | 12.2067976529771 |
| 96 | 7.66464765844291 | 2.3929648393623 | 12.9363304775235 |
| 97 | 7.4698192239859 | 1.03827428476558 | 13.9013641632062 |
| 98 | 7.10277513363111 | -0.354662565361127 | 14.5602128326234 |
| 99 | 7.01999124471036 | -1.78744497918500 | 15.8274274686057 |
| 100 | 7.56525479094078 | -3.59065004059843 | 18.72115962248 |
| 101 | 7.54727272727274 | -5.35323383772776 | 20.4477792922733 |
| 102 | 7.45067873303169 | -9.89242901410205 | 24.7937864801654 |
