| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0479897513800168 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 101.44 | 100.52 | 0.920000000000002 |
| 4 | 102.17 | 101.34415057127 | 0.825849428730393 |
| 5 | 102.75 | 102.113782880032 | 0.636217119968279 |
| 6 | 104.28 | 102.724314781443 | 1.5556852185573 |
| 7 | 104.96 | 104.328971728307 | 0.631028271693154 |
| 8 | 105.16 | 105.039254618179 | 0.120745381820853 |
| 9 | 105.29 | 105.245049159033 | 0.0449508409669903 |
| 10 | 105.15 | 105.377206338715 | -0.227206338715348 |
| 11 | 105.23 | 105.226302763008 | 0.00369723699157021 |
| 12 | 104.45 | 105.306480192492 | -0.856480192492455 |
| 13 | 104.6 | 104.485377920993 | 0.114622079007162 |
| 14 | 105.1 | 104.640878606067 | 0.459121393932961 |
| 15 | 105.94 | 105.162911727615 | 0.777088272384873 |
| 16 | 106.2 | 106.040204000607 | 0.159795999392799 |
| 17 | 106.89 | 106.30787257089 | 0.5821274291104 |
| 18 | 107.57 | 107.025808721484 | 0.54419127851591 |
| 19 | 107.42 | 107.731924325643 | -0.311924325643233 |
| 20 | 107.2 | 107.566955154806 | -0.366955154806249 |
| 21 | 107.08 | 107.329345068159 | -0.249345068159485 |
| 22 | 107.17 | 107.197379060331 | -0.0273790603306594 |
| 23 | 107.23 | 107.286065146032 | -0.0560651460323811 |
| 24 | 106.61 | 107.343374593613 | -0.733374593613206 |
| 25 | 106.97 | 106.688180129197 | 0.281819870802721 |
| 26 | 108.23 | 107.061704594731 | 1.16829540526895 |
| 27 | 109.8 | 108.377770800768 | 1.42222919923167 |
| 28 | 111.93 | 110.016023226445 | 1.91397677355515 |
| 29 | 113.51 | 112.237874495955 | 1.27212550404511 |
| 30 | 115.27 | 113.878923482618 | 1.39107651738179 |
| 31 | 115.58 | 115.705680898838 | -0.125680898837928 |
| 32 | 115.55 | 116.009649503749 | -0.459649503749475 |
| 33 | 115.44 | 115.957591038343 | -0.517591038342587 |
| 34 | 114.93 | 115.822751973096 | -0.892751973095997 |
| 35 | 115.09 | 115.269909027863 | -0.179909027863118 |
| 36 | 113.78 | 115.421275238345 | -1.64127523834495 |
| 37 | 114.51 | 114.032510847711 | 0.477489152289408 |
| 38 | 114.85 | 114.785425433416 | 0.0645745665843691 |
| 39 | 116.12 | 115.128524350811 | 0.991475649188544 |
| 40 | 115.47 | 116.446105020715 | -0.97610502071538 |
| 41 | 115.93 | 115.74926198345 | 0.180738016549554 |
| 42 | 116.6 | 116.21793555593 | 0.382064444070409 |
| 43 | 116.98 | 116.906270733612 | 0.0737292663883409 |
| 44 | 117.37 | 117.289808982775 | 0.0801910172249336 |
| 45 | 117.48 | 117.683657329755 | -0.203657329754606 |
| 46 | 117.18 | 117.783883865133 | -0.603883865132957 |
| 47 | 117.03 | 117.454903628583 | -0.42490362858284 |
| 48 | 114.95 | 117.284512609087 | -2.33451260908667 |
| 49 | 115.64 | 115.092479929383 | 0.547520070616912 |
| 50 | 116.02 | 115.808755281448 | 0.211244718552436 |
| 51 | 116.07 | 116.198892862971 | -0.128892862971242 |
| 52 | 114.5 | 116.242707326523 | -1.74270732652258 |
| 53 | 114.36 | 114.589075235195 | -0.229075235194642 |
| 54 | 116 | 114.43808197161 | 1.56191802838967 |
| 55 | 116.16 | 116.153038029469 | 0.00696197053127889 |
| 56 | 116.42 | 116.313372132704 | 0.106627867296382 |
| 57 | 116.78 | 116.578489177545 | 0.201510822454637 |
| 58 | 115.74 | 116.948159631815 | -1.20815963181535 |
| 59 | 115.44 | 115.850180351457 | -0.410180351457143 |
| 60 | 113.52 | 115.53049589837 | -2.01049589836975 |
| 61 | 113.37 | 113.514012700056 | -0.144012700056436 |
| 62 | 114.35 | 113.357101566385 | 0.992898433614812 |
| 63 | 114.11 | 114.38475051536 | -0.274750515359955 |
| 64 | 113.47 | 114.131565306436 | -0.661565306436302 |
| 65 | 114.33 | 113.459816951859 | 0.870183048141229 |
| 66 | 115.76 | 114.361576819994 | 1.39842318000582 |
| 67 | 116.2 | 115.858686800727 | 0.341313199273287 |
| 68 | 116.48 | 116.315066336303 | 0.16493366369744 |
| 69 | 116.53 | 116.602981461818 | -0.0729814618175908 |
| 70 | 116.45 | 116.64947909961 | -0.199479099609619 |
| 71 | 116.23 | 116.559906147214 | -0.329906147213833 |
| 72 | 114.46 | 116.32407403323 | -1.86407403323032 |
| 73 | 115.08 | 114.464617583822 | 0.615382416178363 |
| 74 | 115.57 | 115.114149632978 | 0.455850367022322 |
| 75 | 116.17 | 115.626025778758 | 0.543974221242451 |
| 76 | 115.21 | 116.252130966392 | -1.04213096639214 |
| 77 | 114.97 | 115.24211936041 | -0.272119360409548 |
| 78 | 114.24 | 114.989060419958 | -0.749060419957814 |
| 79 | 114.16 | 114.223113196635 | -0.0631131966354275 |
| 80 | 117.2 | 114.14008441002 | 3.05991558997992 |
| 81 | 117.71 | 117.326928998427 | 0.38307100157293 |
| 82 | 117.14 | 117.855312480553 | -0.715312480553436 |
| 83 | 116.67 | 117.250984812453 | -0.580984812452655 |
| 84 | 114.71 | 116.753103495747 | -2.0431034957475 |
| 85 | 115.92 | 114.695055466943 | 1.22494453305708 |
| 86 | 117.74 | 115.963840250539 | 1.77615974946134 |
| 87 | 118.38 | 117.869077715326 | 0.510922284673512 |
| 88 | 118.59 | 118.533596748742 | 0.056403251257521 |
| 89 | 119.66 | 118.746303526747 | 0.913696473252642 |
| 90 | 121.2 | 119.860151593336 | 1.33984840666446 |
| 91 | 121.4 | 121.464450585258 | -0.0644505852582853 |
| 92 | 122.66 | 121.661357617695 | 0.998642382304553 |
| 93 | 122.95 | 122.96928221734 | -0.0192822173397786 |
| 94 | 122.9 | 123.258356868524 | -0.358356868523586 |
| 95 | 123.29 | 123.191159411498 | 0.0988405885021706 |
| 96 | 122.02 | 123.585902746766 | -1.56590274676631 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 122.240755463264 | 120.442661407915 | 124.038849518612 |
| 98 | 122.461510926527 | 119.856890833964 | 125.066131019091 |
| 99 | 122.682266389791 | 119.416136762506 | 125.948396017077 |
| 100 | 122.903021853055 | 119.043137795607 | 126.762905910502 |
| 101 | 123.123777316318 | 118.708775122795 | 127.538779509842 |
| 102 | 123.344532779582 | 118.398512864944 | 128.29055269422 |
| 103 | 123.565288242846 | 118.103951155961 | 129.02662532973 |
| 104 | 123.78604370611 | 117.81977136329 | 129.752316048929 |
| 105 | 124.006799169373 | 117.542387855848 | 130.471210482899 |
| 106 | 124.227554632637 | 117.269270460519 | 131.185838804755 |
| 107 | 124.448310095901 | 116.998571000112 | 131.89804919169 |
| 108 | 124.669065559164 | 116.728902619105 | 132.609228499224 |
