| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.949476818409096 |
| beta | 0.434986722767703 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 9.2 | 9 | 0.199999999999999 |
| 4 | 8.6 | 10.5724973255986 | -1.97249732559855 |
| 5 | 7.4 | 9.26759805763575 | -1.86759805763575 |
| 6 | 8.6 | 7.29096189470873 | 1.30903810529127 |
| 7 | 6.2 | 8.87111370760506 | -2.67111370760506 |
| 8 | 6 | 5.56900747665307 | 0.430992523346931 |
| 9 | 6.6 | 5.39028334023191 | 1.20971665976809 |
| 10 | 5.1 | 6.4505645665793 | -1.35056456657931 |
| 11 | 4.7 | 4.52212170542846 | 0.177878294571544 |
| 12 | 5 | 4.11836538977327 | 0.881634610226726 |
| 13 | 3.6 | 4.7469331241338 | -1.14693312413380 |
| 14 | 1.9 | 2.97572818894263 | -1.07572818894263 |
| 15 | -0.1 | 0.82784439459281 | -0.92784439459281 |
| 16 | -5.7 | -1.56283600193754 | -4.13716399806246 |
| 17 | -5.6 | -8.70938027988442 | 3.10938027988442 |
| 18 | -6.4 | -7.69129419502735 | 1.29129419502735 |
| 19 | -7.7 | -7.86612153200947 | 0.166121532009465 |
| 20 | -8 | -9.04066440693171 | 1.04066440693171 |
| 21 | -11.9 | -8.95504448686306 | -2.94495551313694 |
| 22 | -15.4 | -13.8699738036022 | -1.53002619639780 |
| 23 | -15.5 | -18.0733763624424 | 2.5733763624424 |
| 24 | -13.4 | -17.3178636336238 | 3.91786363362379 |
| 25 | -10.9 | -13.6676752948746 | 2.76767529487457 |
| 26 | -10.8 | -9.9664870740466 | -0.833512925953393 |
| 27 | -7.3 | -10.0287926024562 | 2.72879260245624 |
| 28 | -6.5 | -5.58175349841656 | -0.918246501583441 |
| 29 | -5.1 | -4.97673829226389 | -0.123261707736109 |
| 30 | -5.3 | -3.66781174780649 | -1.63218825219351 |
| 31 | -6.8 | -4.46568573723669 | -2.33431426276331 |
| 32 | -8.4 | -6.89430678647731 | -1.50569321352269 |
| 33 | -8.4 | -9.15803742562658 | 0.758037425626584 |
| 34 | -9.7 | -8.95933140696588 | -0.740668593034119 |
| 35 | -8.8 | -10.4895154052073 | 1.68951540520733 |
| 36 | -9.6 | -9.01450959685643 | -0.58549040314357 |
| 37 | -11.5 | -9.94138234519615 | -1.55861765480385 |
| 38 | -11 | -12.4359412411738 | 1.43594124117376 |
| 39 | -14.9 | -11.4941780654694 | -3.40582193453063 |
| 40 | -16.2 | -16.5561946539795 | 0.356194653979514 |
| 41 | -14.4 | -17.899151815014 | 3.499151815014 |
| 42 | -17.3 | -14.8127599855701 | -2.48724001442994 |
| 43 | -15.7 | -18.4375629488454 | 2.73756294884538 |
| 44 | -12.6 | -15.9708962655097 | 3.37089626550967 |
| 45 | -9.4 | -11.5106810549306 | 2.11068105493059 |
| 46 | -8.1 | -7.37527899241413 | -0.724721007585874 |
| 47 | -5.4 | -6.23134234447072 | 0.831342344470715 |
| 48 | -4.6 | -3.26660707238492 | -1.33339292761508 |
| 49 | -4.9 | -2.90794211827162 | -1.99205788172838 |
| 50 | -4 | -3.99740371559970 | -0.00259628440030468 |
| 51 | -3.1 | -3.19898993607543 | 0.098989936075426 |
| 52 | -1.3 | -2.26323858049044 | 0.963238580490443 |
| 53 | 0 | -0.109076188979906 | 0.109076188979906 |
| 54 | -0.4 | 1.27912834867521 | -1.67912834867521 |
| 55 | 3 | 0.275977651699932 | 2.72402234830007 |
| 56 | 0.4 | 4.57856442083763 | -4.17856442083763 |
| 57 | 1.2 | 0.601516969838464 | 0.598483030161536 |
| 58 | 0.6 | 1.40734469632935 | -0.807344696329346 |
| 59 | -1.3 | 0.544930306540998 | -1.84493030654100 |
| 60 | -3.2 | -2.06462188185782 | -1.13537811814218 |
| 61 | -1.8 | -4.4693930162999 | 2.66939301629990 |
| 62 | -3.6 | -2.15913665787112 | -1.44086334212888 |
| 63 | -4.2 | -4.34656412405781 | 0.146564124057806 |
| 64 | -6.9 | -4.96623358922543 | -1.93376641077457 |
| 65 | -8 | -8.35979316893831 | 0.35979316893831 |
| 66 | -7.5 | -9.42707298788098 | 1.92707298788098 |
| 67 | -8.2 | -8.21035690299861 | 0.0103569029986090 |
| 68 | -7.6 | -8.80924080564856 | 1.20924080564856 |
| 69 | -3.7 | -7.77038391988683 | 4.07038391988683 |
| 70 | -1.7 | -2.33382948532013 | 0.633829485320131 |
| 71 | -0.7 | 0.101573973465097 | -0.801573973465097 |
| 72 | 0.2 | 0.843037208921463 | -0.643037208921463 |
| 73 | 0.6 | 1.46944675196572 | -0.869446751965718 |
| 74 | 2.2 | 1.52179564495035 | 0.678204355049652 |
| 75 | 3.3 | 3.32370843856912 | -0.0237084385691246 |
| 76 | 5.3 | 4.44937948840314 | 0.850620511596856 |
| 77 | 5.5 | 6.75652022360631 | -1.25652022360631 |
| 78 | 6.3 | 6.54402449931889 | -0.244024499318891 |
| 79 | 7.7 | 7.19208548198325 | 0.507914518016746 |
| 80 | 6.5 | 8.763868808836 | -2.26386880883600 |
| 81 | 5.5 | 6.76890809552944 | -1.26890809552944 |
| 82 | 6.9 | 5.19456802382144 | 1.70543197617856 |
| 83 | 5.7 | 7.14865503600485 | -1.44865503600485 |
| 84 | 6.9 | 5.50970080630211 | 1.39029919369789 |
| 85 | 6.1 | 7.14047501148008 | -1.04047501148008 |
| 86 | 4.8 | 6.03355907168681 | -1.23355907168681 |
| 87 | 3.7 | 4.23384229541535 | -0.533842295415354 |
| 88 | 5.8 | 2.87800827288838 | 2.92199172711162 |
| 89 | 6.8 | 6.01021978983968 | 0.789780210160322 |
| 90 | 8.5 | 7.4441328737121 | 1.05586712628790 |
| 91 | 7.2 | 9.56677279690345 | -2.36677279690345 |
| 92 | 5 | 7.4621950730862 | -2.46219507308620 |
| 93 | 4.7 | 4.2501053917804 | 0.4498946082196 |
| 94 | 2.3 | 3.98878824247629 | -1.68878824247629 |
| 95 | 2.4 | 0.999355194055063 | 1.40064480594494 |
| 96 | 0.1 | 1.52174725173442 | -1.42174725173442 |
| 97 | 1.9 | -1.22285208352967 | 3.12285208352967 |
| 98 | 1.7 | 1.63730884337346 | 0.0626911566265382 |
| 99 | 2 | 1.61780997224168 | 0.382190027758315 |
| 100 | -1.9 | 2.05951610334665 | -3.95951610334665 |
| 101 | 0.5 | -3.2564460812639 | 3.7564460812639 |
| 102 | -1.3 | 0.305168040868629 | -1.60516804086863 |
| 103 | -3.3 | -1.88689630212747 | -1.41310369787253 |
| 104 | -2.8 | -4.48022569298612 | 1.68022569298612 |
| 105 | -8 | -3.44256084200316 | -4.55743915799684 |
| 106 | -13.9 | -10.2096812468672 | -3.69031875313278 |
| 107 | -21.9 | -17.6776287740778 | -4.22237122592221 |
| 108 | -28.8 | -27.3946285263889 | -1.40537147361111 |
| 109 | -27.6 | -35.0173845211269 | 7.41738452112689 |
| 110 | -31.4 | -31.1996856557017 | -0.200314344298256 |
| 111 | -31.8 | -34.6975470618145 | 2.89754706181455 |
| 112 | -29.4 | -34.0573455159193 | 4.65734551591927 |
| 113 | -27.6 | -29.8227267480842 | 2.22272674808417 |
| 114 | -23.6 | -26.9817141109894 | 3.38171411098943 |
| 115 | -22.8 | -21.6435887389409 | -1.15641126105912 |
| 116 | -18.2 | -21.0919174014170 | 2.89191740141703 |
| 117 | -17.8 | -15.50206159028 | -2.29793840972 |
| 118 | -14.2 | -15.7889246677368 | 1.58892466773679 |
| 119 | -8.8 | -11.7290598823533 | 2.92905988235334 |
| 120 | -7.9 | -5.18703731288784 | -2.71296268711216 |
| 121 | -7 | -5.12246458488257 | -1.87753541511743 |
| 122 | -7 | -5.04011357293581 | -1.95988642706419 |
| 123 | -3.6 | -5.84540525785245 | 2.24540525785245 |
| 124 | -2.4 | -1.73049557530838 | -0.669504424691619 |
| 125 | -4.9 | -0.659736959053438 | -4.24026304094656 |
| 126 | -7.7 | -4.73060110419315 | -2.96939889580685 |
| 127 | -6.5 | -8.82120007671058 | 2.32120007671058 |
| 128 | -5.1 | -6.92981956763588 | 1.82981956763588 |
| 129 | -3.4 | -4.74926002974388 | 1.34926002974388 |
| 130 | -2.8 | -2.46772300498234 | -0.332276995017664 |
| 131 | 0.8 | -1.92000006296976 | 2.72000006296976 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 132 | 2.64917589703852 | -1.58252381401007 | 6.88087560808711 |
| 133 | 4.63577485118573 | -2.51613545164312 | 11.7876851540146 |
| 134 | 6.62237380533295 | -3.75069305575822 | 16.9954406664241 |
| 135 | 8.60897275948016 | -5.29672796132532 | 22.5146734802856 |
| 136 | 10.5955717136274 | -7.14035101378613 | 28.3314944410409 |
| 137 | 12.5821706677746 | -9.26486547423865 | 34.4292068097878 |
| 138 | 14.5687696219218 | -11.6546503847594 | 40.792189628603 |
| 139 | 16.555368576069 | -14.2958292236786 | 47.4065663758166 |
| 140 | 18.5419675302162 | -17.1762082267385 | 54.260143287171 |
| 141 | 20.5285664843634 | -20.2850577450619 | 61.3421907137888 |
| 142 | 22.5151654385107 | -23.6128854676838 | 68.6432163447051 |
| 143 | 24.5017643926579 | -27.1512383962716 | 76.1547671815873 |
