| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.0841194846606648 |
| beta | 0.0680967631501524 |
| gamma | 0.300614650868198 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 9 | 9.71981837606838 | -0.719818376068377 |
| 14 | 7 | 7.6177025901437 | -0.617702590143703 |
| 15 | 6 | 6.52063836761192 | -0.520638367611924 |
| 16 | 3 | 3.51209011644914 | -0.512090116449142 |
| 17 | 5 | 5.95966088540428 | -0.959660885404284 |
| 18 | 1 | 2.1974183737589 | -1.1974183737589 |
| 19 | 5 | 2.07498336207594 | 2.92501663792406 |
| 20 | 2 | 5.85774739511894 | -3.85774739511894 |
| 21 | 9 | 5.29785061519858 | 3.70214938480142 |
| 22 | 4 | 9.56176201451054 | -5.56176201451054 |
| 23 | 4 | 11.0145387163797 | -7.01453871637967 |
| 24 | 10 | 10.3882607901164 | -0.38826079011643 |
| 25 | 8 | 5.99397238069468 | 2.00602761930532 |
| 26 | 6 | 4.08054875244088 | 1.91945124755912 |
| 27 | 7 | 3.16944665678316 | 3.83055334321684 |
| 28 | 0 | 0.50001039526213 | -0.50001039526213 |
| 29 | 7 | 2.7961765575627 | 4.2038234424373 |
| 30 | 4 | -0.596791972965336 | 4.59679197296534 |
| 31 | 5 | 0.936773276676638 | 4.06322672332336 |
| 32 | 11 | 2.98790035435646 | 8.01209964564354 |
| 33 | 2 | 5.61602324157187 | -3.61602324157187 |
| 34 | 4 | 6.77989721284628 | -2.77989721284628 |
| 35 | 5 | 8.14879876245385 | -3.14879876245385 |
| 36 | 12 | 9.77634737705274 | 2.22365262294726 |
| 37 | 10 | 6.38019459058523 | 3.61980540941477 |
| 38 | 6 | 4.70713876823171 | 1.29286123176829 |
| 39 | 6 | 4.39437164164192 | 1.60562835835808 |
| 40 | 8 | 0.457574514451674 | 7.54242548554833 |
| 41 | 3 | 4.88354861401334 | -1.88354861401334 |
| 42 | 10 | 1.21002773135186 | 8.78997226864814 |
| 43 | 2 | 3.09675518109314 | -1.09675518109314 |
| 44 | 5 | 5.9188402417452 | -0.918840241745198 |
| 45 | 4 | 4.66078217864928 | -0.660782178649276 |
| 46 | 3 | 6.38700854317207 | -3.38700854317207 |
| 47 | 8 | 7.68334479397624 | 0.316655206023759 |
| 48 | 5 | 11.1815113027812 | -6.1815113027812 |
| 49 | 7 | 7.51449638011792 | -0.514496380117916 |
| 50 | 1 | 4.88108927364355 | -3.88108927364355 |
| 51 | 7 | 4.21766245289374 | 2.78233754710626 |
| 52 | 4 | 2.01960823189215 | 1.98039176810785 |
| 53 | 8 | 3.35581758548359 | 4.64418241451641 |
| 54 | 7 | 3.18084499984171 | 3.81915500015829 |
| 55 | 10 | 1.90960105628959 | 8.09039894371041 |
| 56 | 2 | 5.58837124622382 | -3.58837124622382 |
| 57 | 6 | 4.19639386349259 | 1.80360613650741 |
| 58 | 6 | 5.41302584316362 | 0.586974156836379 |
| 59 | 11 | 8.1198410423762 | 2.8801589576238 |
| 60 | 8 | 10.1156818117182 | -2.11568181171817 |
| 61 | 8 | 8.44541030481837 | -0.445410304818367 |
| 62 | 6 | 4.98574130615799 | 1.01425869384201 |
| 63 | 11 | 6.69161335948308 | 4.30838664051692 |
| 64 | 15 | 4.5327565422075 | 10.4672434577925 |
| 65 | 9 | 7.49652852311515 | 1.50347147688485 |
| 66 | 5 | 6.99245700153578 | -1.99245700153578 |
| 67 | 10 | 6.53729047021985 | 3.46270952978015 |
| 68 | 4 | 6.71374924283833 | -2.71374924283833 |
| 69 | 9 | 6.98736155709631 | 2.01263844290369 |
| 70 | 3 | 7.99526230407373 | -4.99526230407373 |
| 71 | 7 | 10.9405588791711 | -3.94055887917112 |
| 72 | 7 | 11.0247634506755 | -4.02476345067552 |
| 73 | 9 | 9.680445697255 | -0.680445697254996 |
| 74 | 15 | 6.62821943657383 | 8.37178056342617 |
| 75 | 11 | 9.92743832896914 | 1.07256167103086 |
| 76 | 10 | 9.24102330824229 | 0.758976691757709 |
| 77 | 6 | 8.91349754432559 | -2.91349754432559 |
| 78 | 5 | 7.04337345222289 | -2.04337345222289 |
| 79 | 6 | 8.05361182270462 | -2.05361182270462 |
| 80 | 6 | 6.00162782587766 | -0.00162782587765609 |
| 81 | 14 | 7.75635459708932 | 6.24364540291068 |
| 82 | 11 | 7.16660637699715 | 3.83339362300285 |
| 83 | 1 | 11.1714321602257 | -10.1714321602257 |
| 84 | 9 | 10.6991017752916 | -1.69910177529156 |
| 85 | 13 | 10.4753074956048 | 2.5246925043952 |
| 86 | 10 | 10.2074876046989 | -0.207487604698931 |
| 87 | 11 | 10.7486743606978 | 0.251325639302234 |
| 88 | 7 | 9.87545894799324 | -2.87545894799324 |
| 89 | 6 | 8.17887563887136 | -2.17887563887136 |
| 90 | 4 | 6.5621254097142 | -2.5621254097142 |
| 91 | 6 | 7.47494528625126 | -1.47494528625126 |
| 92 | 8 | 5.98895753543878 | 2.01104246456122 |
| 93 | 6 | 9.59636348685671 | -3.59636348685671 |
| 94 | 7 | 7.4227863963117 | -0.422786396311701 |
| 95 | 12 | 7.09681113887972 | 4.90318886112028 |
| 96 | 20 | 10.1946984077088 | 9.80530159229116 |
| 97 | 10 | 12.1369600485836 | -2.13696004858359 |
| 98 | 14 | 10.7334443402333 | 3.26655565976666 |
| 99 | 11 | 11.7217730077917 | -0.721773007791704 |
| 100 | 13 | 9.92882179676014 | 3.07117820323986 |
| 101 | 7 | 8.98132801021227 | -1.98132801021227 |
| 102 | 9 | 7.33388114896012 | 1.66611885103988 |
| 103 | 8 | 8.98413421948083 | -0.984134219480833 |
| 104 | 7 | 8.58445695483906 | -1.58445695483906 |
| 105 | 9 | 10.410181358519 | -1.41018135851904 |
| 106 | 10 | 9.37144043024698 | 0.628559569753024 |
| 107 | 12 | 10.6834754380998 | 1.31652456190018 |
| 108 | 13 | 14.8919797358977 | -1.89197973589765 |
| 109 | 11 | 12.5578795881579 | -1.5578795881579 |
| 110 | 11 | 12.6897630427986 | -1.68976304279856 |
| 111 | 14 | 12.1336355548776 | 1.86636444512243 |
| 112 | 10 | 11.5880867222319 | -1.58808672223195 |
| 113 | 9 | 8.81626390558026 | 0.183736094419737 |
| 114 | 12 | 8.32628197749818 | 3.67371802250182 |
| 115 | 8 | 9.39832670404699 | -1.39832670404699 |
| 116 | 13 | 8.77875000237762 | 4.22124999762238 |
| 117 | 14 | 11.1543142434386 | 2.84568575656139 |
| 118 | 15 | 11.0727579925817 | 3.92724200741834 |
| 119 | 14 | 12.9084502988971 | 1.09154970110294 |
| 120 | 14 | 16.2701113484316 | -2.27011134843162 |
| 121 | 15 | 14.0494934607009 | 0.950506539299052 |
| 122 | 14 | 14.4237423450953 | -0.423742345095253 |
| 123 | 21 | 15.0281346113754 | 5.97186538862456 |
| 124 | 10 | 13.9752762437439 | -3.97527624374387 |
| 125 | 8 | 11.5752425297502 | -3.57524252975016 |
| 126 | 12 | 11.793178855493 | 0.20682114450698 |
| 127 | 13 | 11.2204943185452 | 1.7795056814548 |
| 128 | 6 | 12.4770361561907 | -6.47703615619067 |
| 129 | 12 | 13.5742325025081 | -1.57423250250808 |
| 130 | 12 | 13.3936348300439 | -1.39363483004386 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 131 | 13.9454934623482 | 6.9014670162453 | 20.989519908451 |
| 132 | 16.2280235220319 | 9.15562235786814 | 23.3004246861957 |
| 133 | 15.0363394181812 | 7.931966801018 | 22.1407120353445 |
| 134 | 14.8980692669826 | 7.75794875007511 | 22.0381897838901 |
| 135 | 17.2472230145203 | 10.0674077928781 | 24.4270382361624 |
| 136 | 12.8673206651053 | 5.64370360721477 | 20.0909377229959 |
| 137 | 10.8486206268977 | 3.57694491940086 | 18.1202963343945 |
| 138 | 12.3658844395188 | 5.0417547671655 | 19.6900141118721 |
| 139 | 12.1648954623003 | 4.78378963464462 | 19.5460012899559 |
| 140 | 10.9443935611653 | 3.50167448864314 | 18.3871126336875 |
| 141 | 13.9193088401071 | 6.4102367555942 | 21.42838092462 |
| 142 | 13.9128751190664 | 6.33261993698355 | 21.4931303011493 |
