| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.644960752688982 |
| beta | 0.0323103655935407 |
| gamma | 0.515849174806592 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 0.92 | 0.907924679487179 | 0.0120753205128208 |
| 14 | 0.92 | 0.916000845816034 | 0.00399915418396612 |
| 15 | 0.92 | 0.919368206542216 | 0.000631793457783636 |
| 16 | 0.93 | 0.930576917651743 | -0.000576917651743281 |
| 17 | 0.93 | 0.930994035194814 | -0.000994035194814447 |
| 18 | 0.93 | 0.931538080342385 | -0.00153808034238478 |
| 19 | 0.93 | 0.930449185792391 | -0.00044918579239106 |
| 20 | 0.93 | 0.930469891611861 | -0.000469891611860951 |
| 21 | 0.92 | 0.930467450957787 | -0.0104674509577871 |
| 22 | 0.93 | 0.923382179887072 | 0.00661782011292766 |
| 23 | 0.93 | 0.937037479648126 | -0.0070374796481264 |
| 24 | 0.93 | 0.932155660204471 | -0.00215566020447056 |
| 25 | 0.94 | 0.9330057228813 | 0.0069942771186996 |
| 26 | 0.95 | 0.936212210815927 | 0.0137877891840731 |
| 27 | 0.95 | 0.945366638896571 | 0.00463336110342882 |
| 28 | 0.96 | 0.959108723942336 | 0.000891276057663926 |
| 29 | 0.97 | 0.960600861980397 | 0.00939913801960257 |
| 30 | 0.97 | 0.968169525231382 | 0.0018304747686182 |
| 31 | 0.97 | 0.969943910369638 | 5.60896303618552e-05 |
| 32 | 0.98 | 0.970788502598386 | 0.0092114974016142 |
| 33 | 0.98 | 0.975902703323636 | 0.00409729667636405 |
| 34 | 0.98 | 0.982347292953271 | -0.00234729295327074 |
| 35 | 0.98 | 0.988539759304766 | -0.00853975930476591 |
| 36 | 0.98 | 0.98437204748324 | -0.00437204748324049 |
| 37 | 0.98 | 0.986211150997187 | -0.00621115099718694 |
| 38 | 1 | 0.982612421373182 | 0.0173875786268175 |
| 39 | 1.01 | 0.992954540723507 | 0.0170454592764935 |
| 40 | 1.01 | 1.01481781778405 | -0.00481781778404522 |
| 41 | 1.02 | 1.01486825626194 | 0.00513174373805692 |
| 42 | 1.02 | 1.01889176912354 | 0.00110823087645695 |
| 43 | 1.02 | 1.02045363888607 | -0.000453638886069641 |
| 44 | 1.02 | 1.02321391315828 | -0.00321391315827602 |
| 45 | 1.03 | 1.01968628481357 | 0.0103137151864312 |
| 46 | 1.03 | 1.02939818057429 | 0.000601819425707362 |
| 47 | 1.03 | 1.03685830069257 | -0.00685830069257354 |
| 48 | 1.03 | 1.0350731279602 | -0.00507312796020032 |
| 49 | 1.03 | 1.03664338817796 | -0.00664338817796306 |
| 50 | 1.04 | 1.0375990565417 | 0.00240094345830211 |
| 51 | 1.05 | 1.03841156559092 | 0.0115884344090837 |
| 52 | 1.05 | 1.05283620941684 | -0.00283620941683993 |
| 53 | 1.05 | 1.05611335221531 | -0.00611335221530807 |
| 54 | 1.05 | 1.0520394060934 | -0.00203940609339726 |
| 55 | 1.06 | 1.05111160858242 | 0.00888839141757769 |
| 56 | 1.06 | 1.05941275475294 | 0.000587245247059442 |
| 57 | 1.06 | 1.06091464108267 | -0.000914641082669032 |
| 58 | 1.06 | 1.06147237541514 | -0.00147237541513845 |
| 59 | 1.06 | 1.0660515902588 | -0.00605159025880431 |
| 60 | 1.06 | 1.06495363896005 | -0.00495363896005396 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 1.06615584329867 | 1.05299941624433 | 1.07931227035302 |
| 62 | 1.07303358322613 | 1.05722785015621 | 1.08883931629605 |
| 63 | 1.07391111099263 | 1.05570591604105 | 1.09211630594422 |
| 64 | 1.07790922739661 | 1.05746257284035 | 1.09835588195286 |
| 65 | 1.08216390350409 | 1.05958335414201 | 1.10474445286616 |
| 66 | 1.08265484251831 | 1.05801694411485 | 1.10729274092176 |
| 67 | 1.08496215408507 | 1.05832288793633 | 1.11160142023381 |
| 68 | 1.08574346673544 | 1.05714442946546 | 1.11434250400542 |
| 69 | 1.08631245749294 | 1.0557847706025 | 1.11684014438338 |
| 70 | 1.0870979324463 | 1.05466484691719 | 1.11953101797542 |
| 71 | 1.09155876648006 | 1.05723747022529 | 1.12588006273483 |
| 72 | 1.09446171107507 | 1.05826462528698 | 1.13065879686315 |
