| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 9.3 | 9.4006281885072 | -0.100628188507207 |
| 14 | 8.7 | 8.67269616555066 | 0.0273038344493415 |
| 15 | 8.2 | 8.1461784881448 | 0.0538215118552028 |
| 16 | 8.3 | 8.25402075291598 | 0.0459792470840252 |
| 17 | 8.5 | 8.4986807867695 | 0.00131921323049866 |
| 18 | 8.6 | 8.64507808414717 | -0.045078084147173 |
| 19 | 8.5 | 8.4308931797946 | 0.0691068202054073 |
| 20 | 8.2 | 7.64507210354858 | 0.554927896451415 |
| 21 | 8.1 | 7.8776586027846 | 0.222341397215402 |
| 22 | 7.9 | 8.35547852570824 | -0.455478525708243 |
| 23 | 8.6 | 9.4390561812499 | -0.839056181249903 |
| 24 | 8.7 | 9.12829638060467 | -0.428296380604673 |
| 25 | 8.7 | 8.71244853084964 | -0.0124485308496372 |
| 26 | 8.5 | 8.11391533770584 | 0.386084662294159 |
| 27 | 8.4 | 7.95915923286362 | 0.440840767136384 |
| 28 | 8.5 | 8.45507252995357 | 0.0449274700464297 |
| 29 | 8.7 | 8.70319974235725 | -0.00319974235724807 |
| 30 | 8.7 | 8.84822534501423 | -0.148225345014229 |
| 31 | 8.6 | 8.52879795713377 | 0.0712020428662257 |
| 32 | 8.5 | 7.73489701427511 | 0.765102985724888 |
| 33 | 8.3 | 8.16551616955018 | 0.134483830449824 |
| 34 | 8 | 8.56154363891267 | -0.561543638912672 |
| 35 | 8.2 | 9.5583892456576 | -1.35838924565759 |
| 36 | 8.1 | 8.70430345736025 | -0.604303457360253 |
| 37 | 8.1 | 8.11244853084964 | -0.0124485308496372 |
| 38 | 8 | 7.55513450986103 | 0.444865490138973 |
| 39 | 7.9 | 7.49161109466066 | 0.408388905339338 |
| 40 | 7.9 | 7.95244308735959 | -0.0524430873595847 |
| 41 | 8 | 8.089642875594 | -0.0896428755940075 |
| 42 | 8 | 8.13720993197953 | -0.137209931979534 |
| 43 | 7.9 | 7.8434645157595 | 0.0565354842405066 |
| 44 | 8 | 7.10612263918942 | 0.893877360810585 |
| 45 | 7.7 | 7.68575355827421 | 0.0142464417257875 |
| 46 | 7.2 | 7.94334829929938 | -0.743348299299385 |
| 47 | 7.5 | 8.60372473039606 | -1.10372473039606 |
| 48 | 7.3 | 7.96231584168252 | -0.662315841682517 |
| 49 | 7 | 7.31244853084964 | -0.312448530849637 |
| 50 | 7 | 6.53070299214553 | 0.469297007854468 |
| 51 | 7 | 6.55651481825475 | 0.443485181745245 |
| 52 | 7.2 | 7.04771009069041 | 0.152289909309589 |
| 53 | 7.3 | 7.3738265310369 | -0.073826531036894 |
| 54 | 7.1 | 7.42619451894484 | -0.326194518944841 |
| 55 | 6.8 | 6.96232151970685 | -0.162321519706847 |
| 56 | 6.4 | 6.1180486211976 | 0.281951378802395 |
| 57 | 6.1 | 6.15051320219113 | -0.0505132021911283 |
| 58 | 6.5 | 6.29482739366395 | 0.205172606336047 |
| 59 | 7.7 | 7.76839327954222 | -0.0683932795422235 |
| 60 | 7.9 | 8.17431230330473 | -0.274312303304727 |
| 61 | 7.5 | 7.91244853084964 | -0.412448530849637 |
| 62 | 6.9 | 6.99635368201621 | -0.0963536820162112 |
| 63 | 6.6 | 6.46300519061416 | 0.136994809385835 |
| 64 | 6.9 | 6.64560653661522 | 0.254393463384778 |
| 65 | 7.7 | 7.06704809765527 | 0.632951902344727 |
| 66 | 8 | 7.83248904067895 | 0.167510959321048 |
| 67 | 8 | 7.8434645157595 | 0.156535484240506 |
| 68 | 7.7 | 7.19594754991594 | 0.504052450084058 |
| 69 | 7.3 | 7.39789599150863 | -0.0978959915086346 |
| 70 | 7.4 | 7.53121807289053 | -0.131218072890525 |
| 71 | 8.1 | 8.84239085921145 | -0.742390859211447 |
| 72 | 8.3 | 8.59830522654915 | -0.298305226549147 |
| 73 | 8.2 | 8.31244853084964 | -0.112448530849639 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 74 | 7.64826464783516 | 6.81624987474706 | 8.48027942092327 |
| 75 | 7.162704676571 | 6.02360229465643 | 8.30180705848557 |
| 76 | 7.21127041247505 | 5.79582487073715 | 8.62671595421294 |
| 77 | 7.38535159597909 | 5.71583246215451 | 9.05487072980367 |
| 78 | 7.51288923361376 | 5.62398575283356 | 9.40179271439396 |
| 79 | 7.36655980453386 | 5.3386894931374 | 9.39443011593032 |
| 80 | 6.62696045983253 | 4.62440460583673 | 8.62951631382834 |
| 81 | 6.36828748792243 | 4.2743863940608 | 8.46218858178405 |
| 82 | 6.57125085151428 | 4.25897435248902 | 8.88352735053955 |
| 83 | 7.8534191040708 | 4.9713985476697 | 10.7354396604719 |
| 84 | 8.33693383934602 | 5.17076795754196 | 11.5030997211501 |
| 85 | 8.34938237019565 | -76.1943207884345 | 92.8930855288258 |
