| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.344199179309432 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 3.99 | 4.09 | -0.0999999999999996 |
| 4 | 4 | 4.09558008206906 | -0.0955800820690573 |
| 5 | 4.06 | 4.07268149626256 | -0.0126814962625597 |
| 6 | 4.16 | 4.12831653565657 | 0.0316834643434296 |
| 7 | 4.19 | 4.23922195808126 | -0.049221958081259 |
| 8 | 4.2 | 4.25227980050569 | -0.0522798005056861 |
| 9 | 4.2 | 4.24428513607717 | -0.0442851360771686 |
| 10 | 4.2 | 4.2290422285838 | -0.0290422285838003 |
| 11 | 4.2 | 4.21904591733994 | -0.0190459173399393 |
| 12 | 4.2 | 4.21249032822234 | -0.0124903282223370 |
| 13 | 4.23 | 4.2081911674989 | 0.0218088325010974 |
| 14 | 4.38 | 4.24569774974748 | 0.134302250252522 |
| 15 | 4.43 | 4.44192447406381 | -0.0119244740638056 |
| 16 | 4.44 | 4.48782007987735 | -0.0478200798773463 |
| 17 | 4.44 | 4.48136044762905 | -0.041360447629053 |
| 18 | 4.44 | 4.46712421549926 | -0.0271242154992626 |
| 19 | 4.44 | 4.457788082785 | -0.0177880827850041 |
| 20 | 4.44 | 4.45166543928892 | -0.0116654392889171 |
| 21 | 4.45 | 4.44765020465939 | 0.00234979534061175 |
| 22 | 4.45 | 4.45845900228717 | -0.00845900228717156 |
| 23 | 4.45 | 4.45554742064215 | -0.00554742064215041 |
| 24 | 4.45 | 4.45363800300984 | -0.00363800300983819 |
| 25 | 4.45 | 4.45238580535953 | -0.00238580535952693 |
| 26 | 4.45 | 4.45156461311279 | -0.00156461311278555 |
| 27 | 4.45 | 4.45102607456343 | -0.00102607456342785 |
| 28 | 4.45 | 4.45067290054079 | -0.000672900540785726 |
| 29 | 4.46 | 4.45044128872689 | 0.00955871127310903 |
| 30 | 4.46 | 4.46373138930235 | -0.00373138930235051 |
| 31 | 4.46 | 4.4624470481668 | -0.00244704816679775 |
| 32 | 4.48 | 4.46160477619606 | 0.0183952238039451 |
| 33 | 4.58 | 4.48793639713259 | 0.0920636028674133 |
| 34 | 4.67 | 4.61962461368382 | 0.0503753863161807 |
| 35 | 4.68 | 4.72696378031124 | -0.0469637803112448 |
| 36 | 4.68 | 4.72079888567085 | -0.0407988856708457 |
| 37 | 4.69 | 4.7067559427062 | -0.0167559427062001 |
| 38 | 4.69 | 4.71098856097817 | -0.0209885609781715 |
| 39 | 4.69 | 4.7037643155146 | -0.0137643155145986 |
| 40 | 4.69 | 4.69902664941072 | -0.00902664941071762 |
| 41 | 4.69 | 4.69591968409163 | -0.00591968409163446 |
| 42 | 4.69 | 4.69388213368552 | -0.00388213368552304 |
| 43 | 4.69 | 4.692545906457 | -0.00254590645699615 |
| 44 | 4.73 | 4.6916696075439 | 0.0383303924561007 |
| 45 | 4.78 | 4.7448628971699 | 0.0351371028301015 |
| 46 | 4.79 | 4.80695705912733 | -0.0169570591273303 |
| 47 | 4.79 | 4.8111204532922 | -0.0211204532922018 |
| 48 | 4.8 | 4.80385081060238 | -0.00385081060238246 |
| 49 | 4.8 | 4.81252536475337 | -0.0125253647533663 |
| 50 | 4.81 | 4.80821414448471 | 0.0017858555152932 |
| 51 | 5.16 | 4.81882883448744 | 0.341171165512565 |
| 52 | 5.26 | 5.2862596696609 | -0.0262596696609032 |
| 53 | 5.29 | 5.37722111291468 | -0.0872211129146834 |
| 54 | 5.29 | 5.37719967743099 | -0.087199677430994 |
| 55 | 5.29 | 5.3471856200232 | -0.0571856200231986 |
| 56 | 5.3 | 5.32750237654291 | -0.0275023765429125 |
| 57 | 5.3 | 5.32803608110778 | -0.0280360811077829 |
| 58 | 5.3 | 5.31838608499943 | -0.0183860849994311 |
| 59 | 5.3 | 5.31205760963191 | -0.0120576096319134 |
| 60 | 5.3 | 5.30790739029218 | -0.0079073902921758 |
| 61 | 5.3 | 5.30518567304313 | -0.00518567304312967 |
| 62 | 5.3 | 5.30340076863752 | -0.00340076863751726 |
| 63 | 5.3 | 5.30223022686346 | -0.00223022686346219 |
| 64 | 5.35 | 5.30146258460738 | 0.048537415392615 |
| 65 | 5.44 | 5.36816912315132 | 0.0718308768486766 |
| 66 | 5.47 | 5.48289325201172 | -0.0128932520117164 |
| 67 | 5.47 | 5.50845540525065 | -0.0384554052506534 |
| 68 | 5.48 | 5.49521908632337 | -0.0152190863233663 |
| 69 | 5.48 | 5.49998068930103 | -0.0199806893010246 |
| 70 | 5.48 | 5.49310335244158 | -0.0131033524415756 |
| 71 | 5.48 | 5.48859318928498 | -0.00859318928498265 |
| 72 | 5.48 | 5.48563542058544 | -0.00563542058544098 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 5.48369571344487 | 5.37345934272625 | 5.59393208416349 |
| 74 | 5.48739142688974 | 5.30270449487177 | 5.6720783589077 |
| 75 | 5.49108714033461 | 5.22888302230759 | 5.75329125836162 |
| 76 | 5.49478285377948 | 5.14988192509285 | 5.8396837824661 |
| 77 | 5.49847856722434 | 5.06534394683796 | 5.93161318761073 |
| 78 | 5.50217428066921 | 4.97531829556631 | 6.02903026577212 |
| 79 | 5.50586999411408 | 4.8799699039905 | 6.13177008423767 |
| 80 | 5.50956570755895 | 4.77949306464286 | 6.23963835047504 |
| 81 | 5.51326142100382 | 4.67408203874077 | 6.35244080326687 |
| 82 | 5.51695713444869 | 4.56392081767855 | 6.46999345121882 |
| 83 | 5.52065284789356 | 4.4491800280983 | 6.59212566768881 |
| 84 | 5.52434856133843 | 4.33001662830207 | 6.71868049437478 |
