| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.999932001538549 |
| beta | FALSE |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 2 | 5.9 | 3.9 | 2 |
| 3 | 5.7 | 5.8998640030771 | -0.199864003077098 |
| 4 | 3.6 | 5.70001359044471 | -2.10001359044471 |
| 5 | 4.9 | 3.60014279769318 | 1.29985720230682 |
| 6 | 5.3 | 4.89991161171014 | 0.400088388289863 |
| 7 | 8.7 | 5.29997279460515 | 3.40002720539485 |
| 8 | 6.8 | 8.69976880338114 | -1.89976880338114 |
| 9 | 8.9 | 6.80012918135574 | 2.09987081864426 |
| 10 | 9.6 | 8.89985721201509 | 0.700142787984914 |
| 11 | 11.2 | 9.59995239136762 | 1.60004760863238 |
| 12 | 9.9 | 11.1998911992244 | -1.29989119922436 |
| 13 | 9.3 | 9.9000883906016 | -0.6000883906016 |
| 14 | 9.2 | 9.3000408050873 | -0.100040805087296 |
| 15 | 9.4 | 9.20000680262083 | 0.199993197379174 |
| 16 | 12.7 | 9.39998640077028 | 3.30001359922972 |
| 17 | 13.6 | 12.6997756041525 | 0.900224395847516 |
| 18 | 16.1 | 13.5999387861261 | 2.50006121387388 |
| 19 | 14.8 | 16.0998299996839 | -1.29982999968392 |
| 20 | 14.1 | 14.8000883864401 | -0.700088386440127 |
| 21 | 13.2 | 14.1000476049332 | -0.900047604933158 |
| 22 | 8.7 | 13.2000612018524 | -4.50006120185237 |
| 23 | 4.9 | 8.70030599723816 | -3.80030599723816 |
| 24 | -1.3 | 4.90025841496086 | -6.20025841496086 |
| 25 | -3.9 | -1.29957839196718 | -2.60042160803282 |
| 26 | -6 | -3.89982317533153 | -2.10017682466847 |
| 27 | -6.6 | -5.99985719120715 | -0.600142808792853 |
| 28 | -8.7 | -6.59995919121235 | -2.10004080878765 |
| 29 | -11.6 | -8.69985720045602 | -2.90014279954398 |
| 30 | -14.6 | -11.5998027947516 | -3.00019720524836 |
| 31 | -12.9 | -14.599795991206 | 1.69979599120599 |
| 32 | -13.8 | -12.9001155835122 | -0.899884416487817 |
| 33 | -14.1 | -13.7999388092442 | -0.300061190755804 |
| 34 | -13.2 | -14.0999795963007 | 0.899979596300687 |
| 35 | -10.4 | -13.2000611972279 | 2.80006119722789 |
| 36 | -3.3 | -10.4001903998534 | 7.10019039985338 |
| 37 | 1 | -3.3004828020232 | 4.3004828020232 |
| 38 | 3.1 | 0.999707573785965 | 2.10029242621404 |
| 39 | 4.5 | 3.09985718334642 | 1.40014281665358 |
| 40 | 1.9 | 4.49990479244266 | -2.59990479244266 |
| 41 | 3.9 | 1.90017678952581 | 1.99982321047419 |
| 42 | 7 | 3.89986401509851 | 3.10013598490149 |
| 43 | 5.6 | 6.99978919552274 | -1.39978919552274 |
| 44 | 8.1 | 5.60009518351165 | 2.49990481648835 |
| 45 | 6.1 | 8.0998300103187 | -1.9998300103187 |
| 46 | 8 | 6.10013598536387 | 1.89986401463613 |
| 47 | 6.5 | 7.99987081217004 | -1.49987081217004 |
| 48 | 5.6 | 6.5001019889076 | -0.900101988907604 |
| 49 | 4.8 | 5.60006120555039 | -0.800061205550395 |
| 50 | 5.1 | 4.80005440293104 | 0.299945597068955 |
| 51 | 7.8 | 5.09997960416088 | 2.70002039583912 |
| 52 | 10.3 | 7.7998164027672 | 2.50018359723281 |
| 53 | 8.6 | 10.299829991362 | -1.69982999136204 |
| 54 | 6.8 | 8.60011558582414 | -1.80011558582414 |
| 55 | 4.9 | 6.80012240509027 | -1.90012240509027 |
| 56 | 5.4 | 4.90012920540012 | 0.499870794599885 |
| 57 | 5.5 | 5.39996600955504 | 0.100033990444957 |
| 58 | 4.7 | 5.49999319784256 | -0.799993197842556 |
| 59 | 4.2 | 4.70005439830662 | -0.500054398306625 |
| 60 | 5 | 4.20003400292973 | 0.799965997070273 |
| 61 | 5 | 4.99994560354299 | 5.43964570143274e-05 |
| 62 | 6 | 4.99999999630113 | 1.00000000369887 |
| 63 | 2.9 | 5.9999320015383 | -3.0999320015383 |
| 64 | 3.6 | 2.90021079060671 | 0.699789209393292 |
| 65 | 5.1 | 3.59995241541042 | 1.50004758458958 |
| 66 | 2.9 | 5.09989799907214 | -2.19989799907214 |
| 67 | 4.7 | 2.90014958967929 | 1.79985041032071 |
| 68 | 3 | 4.69987761294126 | -1.69987761294126 |
| 69 | 5 | 3.00011558906234 | 1.99988441093766 |
| 70 | 2.6 | 4.99986401093698 | -2.39986401093698 |
| 71 | 3.2 | 2.60016318706044 | 0.599836812939564 |
| 72 | 2.4 | 3.1999592120196 | -0.799959212019599 |
| 73 | 3.2 | 2.40005439599564 | 0.799945604004359 |
| 74 | 2.6 | 3.19994560492968 | -0.599945604929683 |
| 75 | 2.4 | 2.60004079537809 | -0.20004079537809 |
| 76 | 2.1 | 2.40001360246631 | -0.300013602466313 |
| 77 | 2.7 | 2.10002040046338 | 0.599979599536618 |
| 78 | 4.4 | 2.69995920231033 | 1.70004079768967 |
| 79 | 4.3 | 4.39988439984135 | -0.0998843998413532 |
| 80 | 4.2 | 4.30000679198551 | -0.100006791985511 |
| 81 | 5.5 | 4.20000680030799 | 1.29999319969201 |
| 82 | 8.8 | 5.49991160246252 | 3.30008839753748 |
| 83 | 10.1 | 8.79977559906632 | 1.30022440093368 |
| 84 | 7 | 10.0999115867412 | -3.09991158674119 |
| 85 | 5.7 | 7.00021078921853 | -1.30021078921853 |
| 86 | 5.2 | 5.70008841233323 | -0.50008841233323 |
| 87 | 5.5 | 5.20003400524263 | 0.299965994757372 |
| 88 | 7.3 | 5.49997960277387 | 1.80002039722613 |
| 89 | 5.9 | 7.29987760138241 | -1.39987760138241 |
| 90 | 7.1 | 5.90009518952311 | 1.19990481047688 |
| 91 | 6.9 | 7.099918408319 | -0.199918408318998 |
| 92 | 6.7 | 6.90001359414418 | -0.200013594144182 |
| 93 | 4.7 | 6.70001360061667 | -2.00001360061667 |
| 94 | 6.7 | 4.70013599784772 | 1.99986400215228 |
| 95 | 8.5 | 6.69986401232474 | 1.80013598767526 |
| 96 | 2.1 | 8.49987759352243 | -6.39987759352243 |
| 97 | -0.9 | 2.10043518182984 | -3.00043518182984 |
| 98 | -4.7 | -0.899795975023951 | -3.80020402497605 |
| 99 | 4.8 | -4.6997415919731 | 9.4997415919731 |
| 100 | 2.6 | 4.79935403218756 | -2.19935403218756 |
| 101 | 1.7 | 2.60014955269038 | -0.900149552690376 |
| 102 | -1.8 | 1.70006120878466 | -3.50006120878466 |
| 103 | 0.2 | -1.79976200122282 | 1.99976200122282 |
| 104 | 1.9 | 0.199864019260648 | 1.70013598073935 |
| 105 | 3.2 | 1.89988439336905 | 1.30011560663095 |
| 106 | 3.1 | 3.19991159413904 | -0.0999115941390403 |
| 107 | 4.2 | 3.10000679383468 | 1.09999320616532 |
| 108 | 16.2 | 4.19992520215437 | 12.0000747978456 |
| 109 | 18.3 | 16.1991840133764 | 2.10081598662356 |
| 110 | 21.6 | 18.2998571477451 | 3.30014285225488 |
| 111 | 12.6 | 21.5997755953635 | -8.99977559536348 |
| 112 | 9.8 | 12.6006119708939 | -2.80061197089389 |
| 113 | 10.6 | 9.80019043730514 | 0.799809562694856 |
| 114 | 13 | 10.5999456141803 | 2.40005438581972 |
| 115 | 9.7 | 12.9998367999944 | -3.29983679999436 |
| 116 | 7.9 | 9.70022438382544 | -1.80022438382544 |
| 117 | 3.3 | 7.90012241248837 | -4.60012241248837 |
| 118 | 3.4 | 3.30031280124654 | 0.0996871987534629 |
| 119 | 0.4 | 3.39999322142386 | -2.99999322142386 |
| 120 | 0.7 | 0.400203994923421 | 0.299796005076579 |
| 121 | 1.4 | 0.699979614332905 | 0.700020385667094 |
| 122 | 3.8 | 1.39995239969079 | 2.40004760030921 |
| 123 | 4 | 3.79983680045577 | 0.200163199544231 |
| 124 | 8 | 3.99998638921039 | 4.00001361078961 |
| 125 | 6 | 7.99972800522868 | -1.99972800522868 |
| 126 | 5.8 | 6.00013597842768 | -0.200135978427677 |
| 127 | 3.9 | 5.80001360893861 | -1.90001360893861 |
| 128 | 6.4 | 3.90012919800214 | 2.49987080199786 |
| 129 | 11 | 6.39983001263164 | 4.60016998736836 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 130 | 10.9996871955184 | 5.67649058289287 | 16.322883808144 |
| 131 | 10.9996871955184 | 3.47180629727515 | 18.5275680937617 |
| 132 | 10.9996871955184 | 1.78005816504198 | 20.2193162259949 |
| 133 | 10.9996871955184 | 0.353836919421553 | 21.6455374716153 |
| 134 | 10.9996871955184 | -0.902694782158973 | 22.9020691731959 |
| 135 | 10.9996871955184 | -2.03868944361912 | 24.038063834656 |
| 136 | 10.9996871955184 | -3.08334635643605 | 25.0827207474729 |
| 137 | 10.9996871955184 | -4.05569066978086 | 26.0550650608177 |
| 138 | 10.9996871955184 | -4.96893739485915 | 26.968311785896 |
| 139 | 10.9996871955184 | -5.83270835442869 | 27.8320827454656 |
| 140 | 10.9996871955184 | -6.65426727908435 | 28.6536416701212 |
| 141 | 10.9996871955184 | -7.43925738471217 | 29.4386317757491 |
