| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0405252708246452 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 8.57 | 8.57 | 0 |
| 4 | 8.59 | 8.58 | 0.00999999999999979 |
| 5 | 8.61 | 8.60040525270825 | 0.0095947472917537 |
| 6 | 8.62 | 8.62079408244074 | -0.00079408244073953 |
| 7 | 8.62 | 8.63076190203477 | -0.0107619020347709 |
| 8 | 8.63 | 8.63032577304022 | -0.000325773040222188 |
| 9 | 8.71 | 8.64031257099954 | 0.0696874290004601 |
| 10 | 8.72 | 8.72313667293286 | -0.00313667293285746 |
| 11 | 8.74 | 8.73300955841277 | 0.00699044158723439 |
| 12 | 8.75 | 8.75329284795127 | -0.00329284795127194 |
| 13 | 8.79 | 8.76315940439626 | 0.0268405956037370 |
| 14 | 8.82 | 8.8042471268022 | 0.0157528731978029 |
| 15 | 8.82 | 8.8348855162548 | -0.0148855162548056 |
| 16 | 8.84 | 8.83428227667721 | 0.00571772332278542 |
| 17 | 8.86 | 8.85451398896337 | 0.00548601103662882 |
| 18 | 8.86 | 8.87473631104638 | -0.0147363110463772 |
| 19 | 8.85 | 8.87413911805027 | -0.0241391180502664 |
| 20 | 8.86 | 8.86316087375381 | -0.0031608737538118 |
| 21 | 8.86 | 8.87303277848889 | -0.0130327784888955 |
| 22 | 8.87 | 8.87250462161104 | -0.00250462161103648 |
| 23 | 8.88 | 8.88240312114193 | -0.00240312114193308 |
| 24 | 8.9 | 8.89230573400683 | 0.00769426599316603 |
| 25 | 8.91 | 8.91261754622 | -0.00261754622000332 |
| 26 | 8.96 | 8.92251146945054 | 0.0374885305494583 |
| 27 | 8.98 | 8.97403070230388 | 0.00596929769612231 |
| 28 | 8.99 | 8.99427260970965 | -0.00427260970964483 |
| 29 | 9 | 9.00409946104404 | -0.00409946104403502 |
| 30 | 9 | 9.01393332927499 | -0.0139333292749892 |
| 31 | 9 | 9.01336867733263 | -0.0133686773326307 |
| 32 | 9.01 | 9.01282690806316 | -0.00282690806315955 |
| 33 | 9.01 | 9.0227123468483 | -0.0127123468483035 |
| 34 | 8.99 | 9.02219717554946 | -0.0321971755494594 |
| 35 | 8.99 | 9.00089237629053 | -0.0108923762905277 |
| 36 | 8.99 | 9.00045095979143 | -0.0104509597914308 |
| 37 | 9 | 9.0000274318155 | -2.74318155053521e-05 |
| 38 | 9 | 9.01002632013375 | -0.0100263201337540 |
| 39 | 9.02 | 9.00962000079496 | 0.0103799992050408 |
| 40 | 9.05 | 9.0300406530739 | 0.0199593469260986 |
| 41 | 9.05 | 9.06084951101357 | -0.0108495110135660 |
| 42 | 9.05 | 9.06040983164143 | -0.0104098316414252 |
| 43 | 9.06 | 9.05998797039492 | 1.20296050827307e-05 |
| 44 | 9.06 | 9.06998845789792 | -0.00998845789792213 |
| 45 | 9.08 | 9.06958367293649 | 0.0104163270635116 |
| 46 | 9.07 | 9.09000579741173 | -0.0200057974117342 |
| 47 | 9.06 | 9.07919505705356 | -0.0191950570535617 |
| 48 | 9.08 | 9.06841717216797 | 0.0115828278320276 |
| 49 | 9.07 | 9.08888656940278 | -0.0188865694027793 |
| 50 | 9.11 | 9.07812118606278 | 0.0318788139372153 |
| 51 | 9.15 | 9.11941308363116 | 0.0305869163688435 |
| 52 | 9.15 | 9.1606526267007 | -0.0106526267006952 |
| 53 | 9.17 | 9.16022092611866 | 0.0097790738813437 |
| 54 | 9.2 | 9.18061722573611 | 0.019382774263887 |
| 55 | 9.23 | 9.21140271791249 | 0.0185972820875122 |
| 56 | 9.26 | 9.24215637780569 | 0.0178436221943112 |
| 57 | 9.27 | 9.2728794954276 | -0.00287949542760479 |
| 58 | 9.28 | 9.28276280309556 | -0.00276280309556221 |
| 59 | 9.29 | 9.29265083975188 | -0.00265083975187963 |
| 60 | 9.29 | 9.30254341375302 | -0.0125434137530220 |
| 61 | 9.11 | 9.30203508851361 | -0.192035088513615 |
| 62 | 9.06 | 9.11425281454377 | -0.0542528145437657 |
| 63 | 9.11 | 9.06205420454138 | 0.0479457954586184 |
| 64 | 9.13 | 9.11399722088724 | 0.0160027791127568 |
| 65 | 9.13 | 9.13464573784474 | -0.00464573784473643 |
| 66 | 9.19 | 9.1344574680604 | 0.0555425319396008 |
| 67 | 9.2 | 9.19670834420954 | 0.00329165579046276 |
| 68 | 9.23 | 9.2068417394519 | 0.0231582605480938 |
| 69 | 9.24 | 9.23778023423245 | 0.00221976576755445 |
| 70 | 9.28 | 9.24787019084134 | 0.0321298091586559 |
| 71 | 9.32 | 9.28917226005904 | 0.0308277399409587 |
| 72 | 9.32 | 9.33042156256906 | -0.0104215625690607 |
| 73 | 9.32 | 9.32999922592353 | -0.00999922592353464 |
| 74 | 9.36 | 9.32959400458495 | 0.0304059954150535 |
| 75 | 9.37 | 9.37082621578383 | -0.000826215783833462 |
| 76 | 9.38 | 9.38079273316543 | -0.000792733165432935 |
| 77 | 9.41 | 9.39076060743921 | 0.0192393925607863 |
| 78 | 9.44 | 9.42154028903324 | 0.0184597109667592 |
| 79 | 9.44 | 9.45228837381951 | -0.0122883738195139 |
| 80 | 9.44 | 9.45179038414248 | -0.0117903841424827 |
| 81 | 9.47 | 9.45131257563198 | 0.0186874243680180 |
| 82 | 9.48 | 9.48206988856551 | -0.00206988856551149 |
| 83 | 9.56 | 9.49198600577082 | 0.0680139942291831 |
| 84 | 9.58 | 9.57474229130682 | 0.0052577086931791 |
| 85 | 9.56 | 9.59495536137553 | -0.0349553613755287 |
| 86 | 9.58 | 9.57353878588901 | 0.00646121411098655 |
| 87 | 9.7 | 9.59380062834072 | 0.106199371659283 |
| 88 | 9.74 | 9.71810438663861 | 0.0218956133613855 |
| 89 | 9.76 | 9.75899171229996 | 0.00100828770004213 |
| 90 | 9.78 | 9.77903257343207 | 0.000967426567928698 |
| 91 | 9.84 | 9.79907177865574 | 0.0409282213442612 |
| 92 | 9.88 | 9.86073040591009 | 0.0192695940899146 |
| 93 | 9.96 | 9.90151131142926 | 0.0584886885707387 |
| 94 | 9.97 | 9.98388158137377 | -0.0138815813737683 |
| 95 | 9.96 | 9.99331902652912 | -0.0333190265291226 |
| 96 | 9.96 | 9.98196876395542 | -0.0219687639554156 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 9.98107847384644 | 9.9197183388674 | 10.0424386088255 |
| 98 | 10.0021569476929 | 9.91360483681846 | 10.0907090585673 |
| 99 | 10.0232354215393 | 9.91259366972259 | 10.1338771733561 |
| 100 | 10.0443138953858 | 9.91401502510289 | 10.1746127656686 |
| 101 | 10.0653923692322 | 9.91685806977872 | 10.2139266686857 |
| 102 | 10.0864708430786 | 9.92061581145594 | 10.2523258747013 |
| 103 | 10.1075493169251 | 9.92499378423336 | 10.2901048496168 |
| 104 | 10.1286277907715 | 9.9298045078352 | 10.3274510737078 |
| 105 | 10.1497062646180 | 9.93492082703831 | 10.3644917021976 |
| 106 | 10.1707847384644 | 9.94025242335316 | 10.4013170535756 |
| 107 | 10.1918632123108 | 9.94573284665386 | 10.4379935779678 |
| 108 | 10.2129416861573 | 9.9513118394692 | 10.4745715328454 |
