| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.493329331125835 |
| beta | 0.078191585817448 |
| gamma | 0.350926578394287 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 105.19 | 104.222553418803 | 0.967446581196612 |
| 14 | 106.38 | 105.928924890943 | 0.451075109057228 |
| 15 | 106.38 | 106.194205032823 | 0.185794967177131 |
| 16 | 106.38 | 106.335781592479 | 0.0442184075214271 |
| 17 | 106.38 | 106.362553305806 | 0.0174466941942484 |
| 18 | 106.38 | 106.32970740669 | 0.0502925933103597 |
| 19 | 106.38 | 106.648338683038 | -0.268338683038237 |
| 20 | 106.72 | 106.656512187523 | 0.0634878124767368 |
| 21 | 106.73 | 106.761251093507 | -0.0312510935066257 |
| 22 | 106.72 | 106.818047032353 | -0.0980470323531364 |
| 23 | 108.6 | 107.588108489263 | 1.01189151073659 |
| 24 | 108.6 | 108.194768093504 | 0.405231906496169 |
| 25 | 109.65 | 108.689792288154 | 0.960207711846081 |
| 26 | 109.65 | 110.408479151103 | -0.758479151103458 |
| 27 | 109.65 | 110.090924739156 | -0.440924739155918 |
| 28 | 109.65 | 109.935015929567 | -0.285015929567379 |
| 29 | 109.65 | 109.818773364154 | -0.168773364154276 |
| 30 | 109.65 | 109.716883296624 | -0.0668832966237716 |
| 31 | 109.65 | 109.933517831968 | -0.283517831968283 |
| 32 | 109.65 | 110.00508118239 | -0.35508118239008 |
| 33 | 112.27 | 109.882214804413 | 2.38778519558663 |
| 34 | 112.27 | 111.209560149299 | 1.06043985070117 |
| 35 | 112.27 | 112.88222106292 | -0.612221062920185 |
| 36 | 112.27 | 112.650874979909 | -0.380874979908597 |
| 37 | 112.27 | 112.897526485648 | -0.627526485647579 |
| 38 | 114.98 | 113.506862032319 | 1.4731379676807 |
| 39 | 114.98 | 114.41228944489 | 0.567710555110395 |
| 40 | 114.98 | 114.886195688983 | 0.0938043110168394 |
| 41 | 114.98 | 115.096621801866 | -0.116621801865804 |
| 42 | 114.98 | 115.15970494254 | -0.1797049425398 |
| 43 | 114.98 | 115.398939545057 | -0.418939545057043 |
| 44 | 116.04 | 115.502524168603 | 0.537475831397401 |
| 45 | 116.59 | 116.453658234827 | 0.136341765173228 |
| 46 | 116.59 | 116.493427996082 | 0.0965720039180411 |
| 47 | 116.59 | 117.415133133894 | -0.825133133894397 |
| 48 | 116.59 | 117.133627321098 | -0.543627321098128 |
| 49 | 118.75 | 117.263596340315 | 1.4864036596851 |
| 50 | 118.75 | 119.378309464821 | -0.628309464821243 |
| 51 | 118.75 | 119.09398762305 | -0.343987623049841 |
| 52 | 118.75 | 119.006641064256 | -0.256641064256499 |
| 53 | 118.75 | 118.966026568194 | -0.216026568193698 |
| 54 | 118.75 | 118.924278535928 | -0.174278535928096 |
| 55 | 118.75 | 119.07928710675 | -0.329287106750058 |
| 56 | 119.31 | 119.356246734824 | -0.0462467348242654 |
| 57 | 119.31 | 119.884665534069 | -0.574665534069339 |
| 58 | 119.31 | 119.475752289109 | -0.165752289109079 |
| 59 | 119.31 | 120.003192139804 | -0.693192139804125 |
| 60 | 119.31 | 119.740949154483 | -0.430949154483415 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 120.195919679843 | 118.912188785254 | 121.479650574432 |
| 62 | 121.052470579342 | 119.598438417773 | 122.506502740912 |
| 63 | 121.004031563503 | 119.375986340273 | 122.632076786733 |
| 64 | 120.990549541487 | 119.184494609374 | 122.7966044736 |
| 65 | 120.982299529993 | 118.994078396482 | 122.970520663504 |
| 66 | 120.961414260259 | 118.786787380826 | 123.136041139691 |
| 67 | 121.088428569122 | 118.723122029385 | 123.453735108859 |
| 68 | 121.504453141079 | 118.944190184987 | 124.06471609717 |
| 69 | 121.889807845596 | 119.130329554494 | 124.649286136697 |
| 70 | 121.787343841699 | 118.824422753789 | 124.750264929609 |
| 71 | 122.259410281212 | 119.088859311936 | 125.429961250489 |
| 72 | 122.369143695823 | 118.986821873771 | 125.751465517875 |
