| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0130335039696298 |
| gamma | 0.0308664218947129 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 3.08 | 3.03218057162421 | 0.0478194283757856 |
| 14 | 3.08 | 3.08246649036668 | -0.00246649036667934 |
| 15 | 3.12 | 3.12079191661507 | -0.000791916615074495 |
| 16 | 3.15 | 3.14910803542605 | 0.000891964573948911 |
| 17 | 3.15 | 3.14870414001847 | 0.00129585998152715 |
| 18 | 3.15 | 3.14872509306309 | 0.00127490693691046 |
| 19 | 3.15 | 3.18293944053139 | -0.032939440531389 |
| 20 | 3.16 | 3.14979308985089 | 0.0102069101491069 |
| 21 | 3.19 | 3.15818510905385 | 0.0318148909461526 |
| 22 | 3.2 | 3.18764522883391 | 0.0123547711660899 |
| 23 | 3.2 | 3.2003647284997 | -0.000364728499704814 |
| 24 | 3.2 | 3.20251123242575 | -0.00251123242574591 |
| 25 | 3.21 | 3.20290343191868 | 0.00709656808131864 |
| 26 | 3.21 | 3.2125410833097 | -0.00254108330970437 |
| 27 | 3.21 | 3.25248422247078 | -0.0424842224707787 |
| 28 | 3.21 | 3.23948861739089 | -0.0294886173908946 |
| 29 | 3.21 | 3.20791248777296 | 0.0020875122270394 |
| 30 | 3.28 | 3.20794624121658 | 0.0720537587834156 |
| 31 | 3.3 | 3.31427181590677 | -0.0142718159067727 |
| 32 | 3.3 | 3.29996348448905 | 3.65155109496307e-05 |
| 33 | 3.3 | 3.29817400448111 | 0.0018259955188924 |
| 34 | 3.3 | 3.29731224375046 | 0.00268775624953799 |
| 35 | 3.3 | 3.30002288844722 | -2.28884472170954e-05 |
| 36 | 3.3 | 3.30224177791105 | -0.00224177791105307 |
| 37 | 3.3 | 3.30265141378619 | -0.0026514137861855 |
| 38 | 3.45 | 3.30216947543144 | 0.147830524568556 |
| 39 | 3.49 | 3.49677136490936 | -0.00677136490936459 |
| 40 | 3.5 | 3.52358240681175 | -0.0235824068117516 |
| 41 | 3.54 | 3.4993254023076 | 0.0406745976923988 |
| 42 | 3.64 | 3.53972890883384 | 0.100271091166165 |
| 43 | 3.67 | 3.68025209206461 | -0.0102520920646101 |
| 44 | 3.67 | 3.67222354583628 | -0.00222354583627737 |
| 45 | 3.68 | 3.67019664422763 | 0.00980335577237179 |
| 46 | 3.68 | 3.67929624943591 | 0.000703750564091443 |
| 47 | 3.68 | 3.68228303519008 | -0.00228303519008399 |
| 48 | 3.68 | 3.68472351472424 | -0.00472351472423505 |
| 49 | 3.7 | 3.68514721493113 | 0.0148527850688702 |
| 50 | 3.83 | 3.7047968394956 | 0.1252031605044 |
| 51 | 3.87 | 3.88389801885099 | -0.0138980188509885 |
| 52 | 3.87 | 3.90915680429249 | -0.0391568042924852 |
| 53 | 3.87 | 3.87103005854955 | -0.00103005854955374 |
| 54 | 3.87 | 3.87101340330666 | -0.00101340330665911 |
| 55 | 3.87 | 3.9130340483556 | -0.0430340483555995 |
| 56 | 3.87 | 3.87227106006814 | -0.00227106006813704 |
| 57 | 3.87 | 3.87013489726787 | -0.00013489726786986 |
| 58 | 3.87 | 3.86908672535188 | 0.000913274648122187 |
| 59 | 3.87 | 3.87223043814726 | -0.00223043814725754 |
| 60 | 3.88 | 3.87479948197757 | 0.00520051802242572 |
| 61 | 3.88 | 3.88535885354171 | -0.00535885354171484 |
| 62 | 3.88 | 3.88475855135544 | -0.00475855135543934 |
| 63 | 3.88 | 3.93303408528552 | -0.0530340852855167 |
| 64 | 3.88 | 3.91731490317212 | -0.0373149031721192 |
| 65 | 3.88 | 3.87912107623748 | 0.000878923762524852 |
| 66 | 3.89 | 3.87913528774881 | 0.0108647122511947 |
| 67 | 3.89 | 3.93148272425073 | -0.0414827242507316 |
| 68 | 3.91 | 3.89053695589115 | 0.0194630441088517 |
| 69 | 3.95 | 3.90861284411723 | 0.0413871558827714 |
| 70 | 3.99 | 3.9479579450131 | 0.0420420549869052 |
| 71 | 3.99 | 3.99159618089583 | -0.00159618089583091 |
| 72 | 3.99 | 3.99425545364198 | -0.0042554536419841 |
| 73 | 4 | 3.99472773887962 | 0.00527226112037615 |
| 74 | 4 | 4.00423215335856 | -0.00423215335855698 |
| 75 | 4 | 4.05400260025072 | -0.0540026002507217 |
| 76 | 4 | 4.03780168903112 | -0.037801689031121 |
| 77 | 4 | 3.99843740583649 | 0.00156259416350935 |
| 78 | 4 | 3.99846267176467 | 0.00153732823532815 |
| 79 | 4 | 4.04190901541045 | -0.0419090154104484 |
| 80 | 4 | 3.99981713569511 | 0.000182864304889563 |
| 81 | 4.06 | 3.99765032073156 | 0.0623496792684435 |
| 82 | 4.07 | 4.05717646405845 | 0.0128235359415481 |
| 83 | 4.07 | 4.0706068244638 | -0.000606824463798006 |
| 84 | 4.07 | 4.07333476158405 | -0.00333476158404533 |
| 85 | 4.07 | 4.07383149420065 | -0.0038314942006501 |
| 86 | 4.07 | 4.07322867278492 | -0.00322867278491668 |
| 87 | 4.3 | 4.12387307037298 | 0.176126929627021 |
| 88 | 4.44 | 4.3419129803474 | 0.0980870196525983 |
| 89 | 4.52 | 4.440948388242 | 0.079051611757996 |
| 90 | 4.52 | 4.52171825116025 | -0.00171825116025204 |
| 91 | 4.52 | 4.57079369999249 | -0.0507936999924867 |
| 92 | 4.53 | 4.52317585693619 | 0.00682414306380963 |
| 93 | 4.53 | 4.53076976889402 | -0.000769768894016032 |
| 94 | 4.53 | 4.52953274244067 | 0.000467257559325418 |
| 95 | 4.53 | 4.53320314825944 | -0.0032031482594439 |
| 96 | 4.53 | 4.53620142408918 | -0.00620142408918056 |
| 97 | 4.53 | 4.53671722978527 | -0.0067172297852709 |
| 98 | 4.53 | 4.53600944424753 | -0.00600944424752736 |
| 99 | 4.53 | 4.59237112466514 | -0.0623711246651402 |
| 100 | 4.61 | 4.57401558960519 | 0.035984410394807 |
| 101 | 4.63 | 4.61020041702839 | 0.0197995829716069 |
| 102 | 4.63 | 4.63039347584545 | -0.000393475845447355 |
| 103 | 4.63 | 4.68067072117882 | -0.0506707211788235 |
| 104 | 4.63 | 4.63191540081129 | -0.00191540081128938 |
| 105 | 4.63 | 4.62937275667752 | 0.00062724332248365 |
| 106 | 4.63 | 4.62813175560879 | 0.00186824439121125 |
| 107 | 4.63 | 4.63190501075581 | -0.00190501075581295 |
| 108 | 4.63 | 4.63499004019986 | -0.00499004019986504 |
| 109 | 4.63 | 4.63553730615135 | -0.00553730615135173 |
| 110 | 4.63 | 4.6348338418347 | -0.00483384183470204 |
| 111 | 4.66 | 4.69244331279933 | -0.0324433127993347 |
| 112 | 4.73 | 4.70428039116646 | 0.0257196088335361 |
| 113 | 4.73 | 4.72910342503791 | 0.000896574962086838 |
| 114 | 4.72 | 4.72911792195537 | -0.00911792195536698 |
| 115 | 4.7 | 4.77028018605993 | -0.0702801860599287 |
| 116 | 4.74 | 4.70039322066126 | 0.0396067793387447 |
| 117 | 4.74 | 4.73822679047476 | 0.00177320952523896 |
| 118 | 4.74 | 4.73697496952142 | 0.00302503047858238 |
| 119 | 4.76 | 4.74085532781461 | 0.0191446721853863 |
| 120 | 4.88 | 4.76424989735286 | 0.115750102647141 |
| 121 | 4.88 | 4.8861611822491 | -0.00616118224910434 |
| 122 | 4.88 | 4.88541485510655 | -0.00541485510654738 |
| 123 | 4.88 | 4.94613410725646 | -0.066134107256457 |
| 124 | 4.89 | 4.92636734020113 | -0.0363673402011271 |
| 125 | 4.97 | 4.88843692867523 | 0.081563071324771 |
| 126 | 4.97 | 4.96924739993474 | 0.000752600065259124 |
| 127 | 4.97 | 5.02322314410244 | -0.0532231441024447 |
| 128 | 4.97 | 4.97090588781563 | -0.00090588781563472 |
| 129 | 4.97 | 4.96819521220307 | 0.00180478779692539 |
| 130 | 4.97 | 4.9668817501677 | 0.00311824983229414 |
| 131 | 4.97 | 4.97094955525345 | -0.000949555253451528 |
| 132 | 4.97 | 4.97427758840914 | -0.00427758840913928 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 133 | 4.97488110537769 | 4.89858219223307 | 5.0511800185223 |
| 134 | 4.97907672935648 | 4.87057880889971 | 5.08757464981325 |
| 135 | 5.0452747592834 | 4.91054145370646 | 5.18000806486034 |
| 136 | 5.09261328425898 | 4.93548812400249 | 5.24973844451547 |
| 137 | 5.09077056815355 | 4.91474875835564 | 5.26679237795146 |
| 138 | 5.08893956112584 | 4.89556084478721 | 5.28231827746447 |
| 139 | 5.14236363952369 | 4.93080809602543 | 5.35391918302195 |
| 140 | 5.14278433083905 | 4.91594367869084 | 5.36962498298726 |
| 141 | 5.14041282690879 | 4.89911467784547 | 5.38171097597211 |
| 142 | 5.1366680458897 | 4.88156547305671 | 5.39177061872269 |
| 143 | 5.13710012042347 | 4.86849312652788 | 5.40570711431906 |
| 144 | 5.14098483490256 | -0.157829916152751 | 10.4397995859579 |
