| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.912394349585859 |
| beta | 0.0280522073302993 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 108.62 | 106.516988420335 | 2.10301157966508 |
| 14 | 108.62 | 108.532103268903 | 0.0878967310965066 |
| 15 | 110.1 | 110.234617744641 | -0.134617744641417 |
| 16 | 110.74 | 110.901450987309 | -0.161450987309451 |
| 17 | 110.77 | 110.930653037448 | -0.160653037448185 |
| 18 | 110.77 | 110.926647260655 | -0.156647260654680 |
| 19 | 110.78 | 110.787947354488 | -0.00794735448762651 |
| 20 | 110.78 | 111.719939359441 | -0.939939359441027 |
| 21 | 110.78 | 111.105905222161 | -0.325905222160614 |
| 22 | 110.84 | 110.810404221686 | 0.029595778314075 |
| 23 | 110.84 | 110.740495558946 | 0.0995044410535684 |
| 24 | 110.84 | 110.731380271562 | 0.108619728438001 |
| 25 | 110.84 | 110.981899150867 | -0.141899150866962 |
| 26 | 110.84 | 110.720798473541 | 0.119201526458681 |
| 27 | 111.01 | 112.415447209349 | -1.40544720934903 |
| 28 | 112.66 | 111.849183401653 | 0.810816598347444 |
| 29 | 114.04 | 112.712422206809 | 1.32757779319113 |
| 30 | 114.16 | 114.048940279579 | 0.111059720421025 |
| 31 | 114.2 | 114.152661325118 | 0.0473386748822264 |
| 32 | 114.2 | 115.065099160724 | -0.865099160723517 |
| 33 | 114.23 | 114.570732180148 | -0.34073218014764 |
| 34 | 114.23 | 114.282120240736 | -0.0521202407359311 |
| 35 | 114.23 | 114.127390085190 | 0.102609914809790 |
| 36 | 114.23 | 114.105359340524 | 0.124640659475560 |
| 37 | 114.23 | 114.339315024196 | -0.10931502419551 |
| 38 | 114.23 | 114.115240337951 | 0.114759662049394 |
| 39 | 115.97 | 115.702575789328 | 0.267424210672488 |
| 40 | 116.96 | 116.924650096031 | 0.035349903969248 |
| 41 | 117.08 | 117.139651691333 | -0.0596516913332152 |
| 42 | 117.08 | 117.080106413129 | -0.000106413129444149 |
| 43 | 117.08 | 117.049968510364 | 0.0300314896364142 |
| 44 | 117.63 | 117.858802189427 | -0.228802189426958 |
| 45 | 119.12 | 117.989239896285 | 1.13076010371493 |
| 46 | 119.47 | 119.093061254196 | 0.376938745804239 |
| 47 | 119.5 | 119.371538435794 | 0.128461564205878 |
| 48 | 119.52 | 119.402529079566 | 0.117470920433689 |
| 49 | 119.49 | 119.646361181752 | -0.156361181752075 |
| 50 | 119.49 | 119.425293980728 | 0.0647060192721369 |
| 51 | 119.5 | 121.079187694063 | -1.57918769406268 |
| 52 | 119.5 | 120.613136997018 | -1.11313699701826 |
| 53 | 119.56 | 119.735993557495 | -0.175993557494678 |
| 54 | 122.35 | 119.533174521743 | 2.8168254782574 |
| 55 | 122.92 | 122.097863266039 | 0.82213673396123 |
| 56 | 122.92 | 123.685780969789 | -0.765780969789162 |
| 57 | 123.04 | 123.494749552160 | -0.454749552159853 |
| 58 | 123.04 | 123.077507473430 | -0.0375074734297982 |
| 59 | 123.04 | 122.935185346174 | 0.104814653826082 |
| 60 | 123.06 | 122.922263726376 | 0.137736273624370 |
| 61 | 123.33 | 123.145590358459 | 0.184409641541293 |
| 62 | 128.21 | 123.242646606609 | 4.96735339339098 |
| 63 | 129.57 | 129.428153568954 | 0.141846431046389 |
| 64 | 129.79 | 130.804727386048 | -1.01472738604818 |
| 65 | 131.66 | 130.269664908033 | 1.39033509196744 |
| 66 | 135.01 | 131.962392383415 | 3.04760761658491 |
| 67 | 136.01 | 134.729465493354 | 1.28053450664638 |
| 68 | 136.31 | 136.863746972248 | -0.553746972247865 |
| 69 | 136.37 | 137.152179022137 | -0.782179022136518 |
| 70 | 136.4 | 136.669465768531 | -0.269465768530750 |
| 71 | 136.4 | 136.504127863033 | -0.104127863033256 |
| 72 | 136.4 | 136.472284947038 | -0.0722849470375877 |
| 73 | 137.34 | 136.693402494146 | 0.646597505854146 |
| 74 | 142.18 | 137.837406978883 | 4.34259302111724 |
| 75 | 143.79 | 143.318005592303 | 0.471994407697025 |
| 76 | 144.08 | 145.183920713335 | -1.10392071333521 |
| 77 | 144.08 | 145.008404497298 | -0.928404497297578 |
| 78 | 144.09 | 144.887975793587 | -0.797975793586716 |
| 79 | 144.09 | 143.997421144278 | 0.0925788557218539 |
| 80 | 144.11 | 144.925313799889 | -0.815313799889253 |
| 81 | 144.11 | 144.985009562717 | -0.875009562716826 |
| 82 | 144.15 | 144.462951067344 | -0.312951067344301 |
| 83 | 144.15 | 144.261999563211 | -0.111999563210901 |
| 84 | 144.16 | 144.213755672225 | -0.0537556722247245 |
| 85 | 144.2 | 144.519250742944 | -0.319250742944433 |
| 86 | 144.38 | 145.101504902410 | -0.721504902409691 |
| 87 | 144.38 | 145.490871864122 | -1.11087186412220 |
| 88 | 144.28 | 145.595826178109 | -1.31582617810915 |
| 89 | 144.46 | 145.055643725257 | -0.595643725257219 |
| 90 | 144.53 | 145.07194655305 | -0.541946553050053 |
| 91 | 144.53 | 144.319762952464 | 0.210237047535742 |
| 92 | 145.34 | 145.107487726942 | 0.232512273057523 |
| 93 | 147.98 | 145.977827997950 | 2.00217200205046 |
| 94 | 150.42 | 148.056088905561 | 2.36391109443937 |
| 95 | 150.53 | 150.296597408776 | 0.233402591223864 |
| 96 | 150.64 | 150.556276792780 | 0.083723207220146 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 150.967001580134 | 148.798316128932 | 153.135687031336 |
| 98 | 151.839994870281 | 148.863773277691 | 154.816216462871 |
| 99 | 152.917718259413 | 149.273165210047 | 156.562271308780 |
| 100 | 154.121148005582 | 149.878767475583 | 158.363528535581 |
| 101 | 154.964054812409 | 150.177147464209 | 159.750962160608 |
| 102 | 155.653990657130 | 150.357425393060 | 160.950555921199 |
| 103 | 155.544544249315 | 149.785820313667 | 161.303268184963 |
| 104 | 156.279732299861 | 150.047437889816 | 162.512026709906 |
| 105 | 157.237873790305 | 150.53597825365 | 163.939769326959 |
| 106 | 157.572832559082 | 150.436017864066 | 164.709647254098 |
| 107 | 157.446350755637 | 149.903141624874 | 164.9895598864 |
| 108 | 157.457640068931 | 148.927131069726 | 165.988149068137 |
