| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.502173580585683 |
| beta | 0 |
| gamma | 0.460355021913269 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 5.731 | 5.65362045940171 | 0.077379540598292 |
| 14 | 5.04 | 4.99993631663842 | 0.0400636833615753 |
| 15 | 6.102 | 6.10772146956729 | -0.00572146956728847 |
| 16 | 4.904 | 4.90322286164553 | 0.0007771383544668 |
| 17 | 5.369 | 5.37115434959934 | -0.00215434959933614 |
| 18 | 5.578 | 5.6474053884176 | -0.0694053884176009 |
| 19 | 4.619 | 4.32692639894106 | 0.292073601058942 |
| 20 | 4.731 | 5.18880594124978 | -0.457805941249776 |
| 21 | 5.011 | 5.15049078878937 | -0.139490788789375 |
| 22 | 5.227 | 4.59952509619469 | 0.627474903805312 |
| 23 | 4.146 | 4.67583431163666 | -0.529834311636655 |
| 24 | 4.625 | 5.67551508118199 | -1.05051508118199 |
| 25 | 4.736 | 5.15412399364491 | -0.418123993644909 |
| 26 | 4.219 | 4.24305913470588 | -0.024059134705877 |
| 27 | 5.116 | 5.30815060343058 | -0.19215060343058 |
| 28 | 4.205 | 4.01152154059846 | 0.193478459401539 |
| 29 | 4.121 | 4.57555071162724 | -0.454550711627235 |
| 30 | 5.103 | 4.60920786540718 | 0.49379213459282 |
| 31 | 4.3 | 3.65439442404828 | 0.645605575951721 |
| 32 | 4.578 | 4.5219533209959 | 0.0560466790040977 |
| 33 | 3.809 | 4.81463185612865 | -1.00563185612865 |
| 34 | 5.657 | 4.00448381632294 | 1.65251618367706 |
| 35 | 4.249 | 4.33031315219543 | -0.0813131521954347 |
| 36 | 3.83 | 5.43590139774348 | -1.60590139774348 |
| 37 | 4.736 | 4.78053939911884 | -0.044539399118837 |
| 38 | 4.84 | 4.14738941336878 | 0.692610586631225 |
| 39 | 4.412 | 5.53385080174391 | -1.12185080174391 |
| 40 | 4.57 | 3.85872813162256 | 0.711271868377445 |
| 41 | 4.105 | 4.53426616135713 | -0.429266161357133 |
| 42 | 4.801 | 4.79795881453405 | 0.00304118546594534 |
| 43 | 3.953 | 3.63149534456391 | 0.321504655436085 |
| 44 | 3.828 | 4.20118604600287 | -0.373186046002873 |
| 45 | 4.444 | 4.03500305949753 | 0.408996940502472 |
| 46 | 4.027 | 4.54443033451501 | -0.517430334515008 |
| 47 | 4.118 | 3.38321623883506 | 0.734783761164937 |
| 48 | 4.791 | 4.54922639744268 | 0.241773602557318 |
| 49 | 3.232 | 5.17954605995058 | -1.94754605995058 |
| 50 | 3.554 | 3.75969414828533 | -0.205694148285334 |
| 51 | 3.95 | 4.2792180094321 | -0.329218009432098 |
| 52 | 3.948 | 3.42224394330925 | 0.525756056690747 |
| 53 | 3.683 | 3.7432358725223 | -0.0602358725223016 |
| 54 | 4.311 | 4.29132064141611 | 0.0196793585838897 |
| 55 | 3.865 | 3.20619689074788 | 0.658803109252117 |
| 56 | 4.14 | 3.78606290845679 | 0.353937091543206 |
| 57 | 4.095 | 4.16428021745313 | -0.0692802174531257 |
| 58 | 3.814 | 4.22121361579276 | -0.407213615792755 |
| 59 | 3.377 | 3.40232597923408 | -0.0253259792340756 |
| 60 | 3.443 | 4.07364257188563 | -0.630642571885633 |
| 61 | 3.494 | 3.76411640398627 | -0.270116403986272 |
| 62 | 4.015 | 3.5858175566575 | 0.429182443342503 |
| 63 | 5.401 | 4.3958508544396 | 1.0051491455604 |
| 64 | 5.122 | 4.4049010197567 | 0.717098980243296 |
| 65 | 5.507 | 4.68768450080771 | 0.819315499192291 |
| 66 | 6.425 | 5.69577145565032 | 0.729228544349678 |
| 67 | 4.948 | 5.11343695512092 | -0.165436955120921 |
| 68 | 2.977 | 5.2095231419599 | -2.2325231419599 |
| 69 | 2.937 | 4.19189682684665 | -1.25489682684665 |
| 70 | 2.972 | 3.57599836123697 | -0.603998361236967 |
| 71 | 2.732 | 2.7458104461771 | -0.0138104461771045 |
| 72 | 3.172 | 3.28418525978407 | -0.112185259784069 |
| 73 | 3.102 | 3.31763892340619 | -0.215638923406194 |
| 74 | 3.36 | 3.32696036412438 | 0.0330396358756215 |
| 75 | 3.705 | 4.0700594686932 | -0.365059468693201 |
| 76 | 3.171 | 3.32501262635083 | -0.154012626350832 |
| 77 | 3.98 | 3.19377253697484 | 0.786227463025161 |
| 78 | 3.342 | 4.1645977058806 | -0.822597705880599 |
| 79 | 2.766 | 2.59794040208244 | 0.168059597917562 |
| 80 | 4.022 | 2.38777135882622 | 1.63422864117378 |
| 81 | 4.459 | 3.53597499253394 | 0.923025007466056 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 82 | 4.16294222019502 | 2.78673240604657 | 5.53915203434346 |
| 83 | 3.77132375706373 | 2.23133433370848 | 5.31131318041898 |
| 84 | 4.29408857782192 | 2.60613674333921 | 5.98204041230464 |
| 85 | 4.36016952592121 | 2.53621904221254 | 6.18412000962989 |
| 86 | 4.53477051629751 | 2.5842810037626 | 6.48526002883241 |
| 87 | 5.17004287303738 | 3.10073784235771 | 7.23934790371704 |
| 88 | 4.65668631065593 | 2.4750270151921 | 6.83834560611975 |
| 89 | 4.81826859493236 | 2.52976444309622 | 7.1067727467685 |
| 90 | 5.02556555124328 | 2.63498712239833 | 7.41614398008823 |
| 91 | 4.09903084492675 | 1.61056159738795 | 6.58750009246555 |
| 92 | 4.14047877643289 | 1.55782642517965 | 6.72313112768612 |
| 93 | 4.30502452339907 | 1.63150490706531 | 6.97854413973282 |
