| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.190849902182248 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 3.13 | 3.09 | 0.0399999999999996 |
| 4 | 3.14 | 3.12763399608729 | 0.0123660039127103 |
| 5 | 3.16 | 3.13999404672442 | 0.0200059532755841 |
| 6 | 3.17 | 3.16381218095012 | 0.00618781904987609 |
| 7 | 3.19 | 3.17499312561051 | 0.0150068743894858 |
| 8 | 3.18 | 3.19785718611981 | -0.0178571861198087 |
| 9 | 3.17 | 3.18444914389559 | -0.0144491438955936 |
| 10 | 3.17 | 3.1716915261965 | -0.00169152619650204 |
| 11 | 3.2 | 3.17136869858736 | 0.0286313014126396 |
| 12 | 3.21 | 3.20683297966131 | 0.00316702033868621 |
| 13 | 3.25 | 3.21743740518316 | 0.0325625948168389 |
| 14 | 3.22 | 3.26365197321875 | -0.0436519732187546 |
| 15 | 3.25 | 3.22532099839989 | 0.0246790016001062 |
| 16 | 3.31 | 3.26003098344123 | 0.0499690165587707 |
| 17 | 3.35 | 3.32956756536361 | 0.0204324346363864 |
| 18 | 3.37 | 3.37346709351531 | -0.00346709351531338 |
| 19 | 3.38 | 3.39280539905706 | -0.0128053990570591 |
| 20 | 3.38 | 3.40036148989961 | -0.0203614898996145 |
| 21 | 3.39 | 3.39647550154399 | -0.00647550154398813 |
| 22 | 3.44 | 3.40523965270774 | 0.0347603472922624 |
| 23 | 3.56 | 3.46187366158829 | 0.0981263384117135 |
| 24 | 3.65 | 3.60060106367566 | 0.0493989363243359 |
| 25 | 3.69 | 3.70002884584107 | -0.0100288458410707 |
| 26 | 3.71 | 3.7381148415933 | -0.0281148415933017 |
| 27 | 3.71 | 3.75274912682535 | -0.0427491268253504 |
| 28 | 3.74 | 3.74459046015236 | -0.00459046015235565 |
| 29 | 3.75 | 3.77371437128131 | -0.0237143712813075 |
| 30 | 3.77 | 3.77918848584196 | -0.00918848584195642 |
| 31 | 3.75 | 3.79743486421782 | -0.047434864217816 |
| 32 | 3.78 | 3.76838192502182 | 0.0116180749781822 |
| 33 | 3.8 | 3.80059923349495 | -0.000599233494949836 |
| 34 | 3.78 | 3.82048486984105 | -0.040484869841054 |
| 35 | 3.79 | 3.79275833639203 | -0.0027583363920276 |
| 36 | 3.8 | 3.80223190816142 | -0.00223190816142393 |
| 37 | 3.82 | 3.81180594870714 | 0.00819405129286377 |
| 38 | 3.82 | 3.83336978259486 | -0.0133697825948556 |
| 39 | 3.84 | 3.83081816089443 | 0.00918183910557069 |
| 40 | 3.86 | 3.85257051398958 | 0.00742948601041915 |
| 41 | 3.8 | 3.87398843066793 | -0.0739884306679337 |
| 42 | 3.85 | 3.79986774591234 | 0.0501322540876599 |
| 43 | 3.78 | 3.85943548170115 | -0.0794354817011462 |
| 44 | 3.79 | 3.77427522778868 | 0.0157247722113176 |
| 45 | 3.77 | 3.78727629902705 | -0.0172762990270505 |
| 46 | 3.78 | 3.76397911904767 | 0.016020880952333 |
| 47 | 3.77 | 3.77703670261029 | -0.00703670261029288 |
| 48 | 3.76 | 3.76569374860543 | -0.00569374860543315 |
| 49 | 3.78 | 3.75460709724104 | 0.0253929027589641 |
| 50 | 3.76 | 3.77945333024871 | -0.0194533302487074 |
| 51 | 3.75 | 3.75574066407362 | -0.00574066407362261 |
| 52 | 3.71 | 3.74464505889671 | -0.0346450588967109 |
| 53 | 3.72 | 3.69803305279518 | 0.0219669472048252 |
| 54 | 3.7 | 3.71222544252046 | -0.0122254425204589 |
| 55 | 3.69 | 3.68989221801129 | 0.000107781988705202 |
| 56 | 3.7 | 3.6799127881933 | 0.0200872118067044 |
| 57 | 3.72 | 3.69374643060172 | 0.0262535693982806 |
| 58 | 3.73 | 3.71875692175332 | 0.0112430782466837 |
| 59 | 3.73 | 3.73090266213692 | -0.000902662136923027 |
| 60 | 3.69 | 3.73073038915639 | -0.0407303891563879 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 3.68295699837005 | 3.62323125341923 | 3.74268274332086 |
| 62 | 3.67591399674009 | 3.58303857192662 | 3.76878942155356 |
| 63 | 3.66887099511014 | 3.54462970433123 | 3.79311228588905 |
| 64 | 3.66182799348018 | 3.5060808118952 | 3.81757517506517 |
| 65 | 3.65478499185023 | 3.46677020039114 | 3.84279978330933 |
| 66 | 3.64774199022028 | 3.4264438008852 | 3.86904017955535 |
| 67 | 3.64069898859032 | 3.38499012382466 | 3.89640785335599 |
| 68 | 3.63365598696037 | 3.34236262088581 | 3.92494935303493 |
| 69 | 3.62661298533042 | 3.29854721149497 | 3.95467875916586 |
| 70 | 3.61956998370046 | 3.25354694807197 | 3.98559301932896 |
| 71 | 3.61252698207051 | 3.20737415210909 | 4.01767981203193 |
| 72 | 3.60548398044055 | 3.16004614014322 | 4.05092182073788 |
