| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.865625929532432 |
| beta | 0.0279541213592297 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 3.08 | 3.03218057162422 | 0.0478194283757842 |
| 14 | 3.08 | 3.07658651044536 | 0.00341348955464138 |
| 15 | 3.12 | 3.12098274303256 | -0.000982743032556854 |
| 16 | 3.15 | 3.14988596042865 | 0.000114039571347480 |
| 17 | 3.15 | 3.14932298003238 | 0.000677019967616932 |
| 18 | 3.15 | 3.14926600305820 | 0.000733996941795212 |
| 19 | 3.15 | 3.18347764010211 | -0.0334776401021055 |
| 20 | 3.16 | 3.15453549263141 | 0.00546450736859105 |
| 21 | 3.19 | 3.15770769408078 | 0.0322923059192242 |
| 22 | 3.2 | 3.18394027046506 | 0.0160597295349381 |
| 23 | 3.2 | 3.19905688057097 | 0.000943119429031913 |
| 24 | 3.2 | 3.20325491989269 | -0.00325491989269056 |
| 25 | 3.21 | 3.21086127093729 | -0.000861270937285497 |
| 26 | 3.21 | 3.20715838246823 | 0.00284161753176626 |
| 27 | 3.21 | 3.25229595455108 | -0.0422959545510846 |
| 28 | 3.21 | 3.2457125917697 | -0.0357125917696992 |
| 29 | 3.21 | 3.2126444686849 | -0.00264446868490165 |
| 30 | 3.28 | 3.20808922545219 | 0.0719107745478067 |
| 31 | 3.3 | 3.3003046227353 | -0.000304622735299631 |
| 32 | 3.3 | 3.30623521015310 | -0.00623521015310402 |
| 33 | 3.3 | 3.30334739022062 | -0.00334739022061781 |
| 34 | 3.3 | 3.29601239739219 | 0.00398760260781206 |
| 35 | 3.3 | 3.29796278441105 | 0.00203721558895253 |
| 36 | 3.3 | 3.30199796556584 | -0.00199796556583953 |
| 37 | 3.3 | 3.31074846677059 | -0.0107484667705950 |
| 38 | 3.45 | 3.29810415408185 | 0.151895845918155 |
| 39 | 3.49 | 3.47106178845088 | 0.0189382115491159 |
| 40 | 3.5 | 3.52483229925198 | -0.0248322992519761 |
| 41 | 3.54 | 3.50996579023465 | 0.0300342097653479 |
| 42 | 3.64 | 3.54914710678076 | 0.0908528932192354 |
| 43 | 3.67 | 3.65529901461614 | 0.0147009853838607 |
| 44 | 3.67 | 3.67942078021977 | -0.00942078021977322 |
| 45 | 3.68 | 3.67980709253619 | 0.000192907463814951 |
| 46 | 3.68 | 3.68149108074878 | -0.00149108074877935 |
| 47 | 3.68 | 3.68343826048178 | -0.00343826048177487 |
| 48 | 3.68 | 3.68744456719865 | -0.00744456719865161 |
| 49 | 3.7 | 3.69629999235367 | 0.00370000764632605 |
| 50 | 3.83 | 3.72464933952557 | 0.105350660474434 |
| 51 | 3.87 | 3.84581775496138 | 0.0241822450386211 |
| 52 | 3.87 | 3.90557337660747 | -0.0355733766074660 |
| 53 | 3.87 | 3.89401496738218 | -0.0240149673821812 |
| 54 | 3.87 | 3.89886491323324 | -0.0288649132332428 |
| 55 | 3.87 | 3.89217940142879 | -0.0221794014287879 |
| 56 | 3.87 | 3.88073831118437 | -0.0107383111843657 |
| 57 | 3.87 | 3.8809594803103 | -0.0109594803102966 |
| 58 | 3.87 | 3.87175396268486 | -0.00175396268486416 |
| 59 | 3.87 | 3.87229346628109 | -0.00229346628108607 |
| 60 | 3.88 | 3.87604616335871 | 0.00395383664128701 |
| 61 | 3.88 | 3.89638452904704 | -0.0163845290470395 |
| 62 | 3.88 | 3.92135090838234 | -0.041350908382344 |
| 63 | 3.88 | 3.90061684364766 | -0.0206168436476633 |
| 64 | 3.88 | 3.90846348793655 | -0.0284634879365453 |
| 65 | 3.88 | 3.89967136198188 | -0.0196713619818771 |
| 66 | 3.89 | 3.90279039115096 | -0.0127903911509573 |
| 67 | 3.89 | 3.90646336068969 | -0.0164633606896918 |
| 68 | 3.91 | 3.89715692277955 | 0.0128430772204462 |
| 69 | 3.95 | 3.91396290779253 | 0.0360370922074695 |
| 70 | 3.99 | 3.94381782751663 | 0.0461821724833702 |
| 71 | 3.99 | 3.98396229241338 | 0.00603770758662137 |
| 72 | 3.99 | 3.99427826004811 | -0.00427826004810994 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 4.00329788648877 | 3.93648291852419 | 4.07011285445336 |
| 74 | 4.03867118399632 | 3.94902471892985 | 4.1283176490628 |
| 75 | 4.05662932358499 | 3.9480854794548 | 4.16517316771517 |
| 76 | 4.08221441507228 | 3.95660646550514 | 4.20782236463943 |
| 77 | 4.10060152418589 | 3.95935695784649 | 4.24184609052528 |
| 78 | 4.12379265877942 | 3.96761954582187 | 4.27996577173698 |
| 79 | 4.1401058024406 | 3.96984629302767 | 4.31036531185352 |
| 80 | 4.15113930065952 | 3.96745713829760 | 4.33482146302144 |
| 81 | 4.16173200979754 | 3.96501009480972 | 4.35845392478536 |
| 82 | 4.16215333036473 | 3.95313680895044 | 4.37116985177901 |
| 83 | 4.15613418551383 | 3.9353865146638 | 4.37688185636385 |
| 84 | 4.15929595911847 | -0.521679996993567 | 8.8402719152305 |
