| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.002012910036564 |
| gamma | 0.0982581635507916 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 3.53 | 3.48032585470085 | 0.049674145299146 |
| 14 | 3.53 | 3.52940943014507 | 0.000590569854928891 |
| 15 | 3.53 | 3.53024395224239 | -0.000243952242392709 |
| 16 | 3.53 | 3.53191012785514 | -0.00191012785514255 |
| 17 | 3.53 | 3.53273961627294 | -0.00273961627294472 |
| 18 | 3.53 | 3.53273410167185 | -0.00273410167185206 |
| 19 | 3.53 | 3.51939526483782 | 0.0106047351621767 |
| 20 | 3.53 | 3.52941661121567 | 0.000583388784333838 |
| 21 | 3.58 | 3.59941778552481 | -0.019417785524805 |
| 22 | 3.58 | 3.59937869926943 | -0.0193786992694345 |
| 23 | 3.59 | 3.58933969169118 | 0.000660308308821023 |
| 24 | 3.59 | 3.5893410208324 | 0.000658979167598606 |
| 25 | 3.59 | 3.58934234729818 | 0.000657652701818279 |
| 26 | 3.59 | 3.58934367109391 | 0.000656328906094128 |
| 27 | 3.59 | 3.59017832555828 | -0.000178325558281678 |
| 28 | 3.59 | 3.59184463327164 | -0.00184463327164286 |
| 29 | 3.59 | 3.59267425352415 | -0.00267425352414952 |
| 30 | 3.59 | 3.59266887049239 | -0.00266887049239006 |
| 31 | 3.59 | 3.57933016496286 | 0.0106698350371435 |
| 32 | 3.61 | 3.58935164238089 | 0.0206483576191085 |
| 33 | 3.71 | 3.67939320566718 | 0.0306067943328188 |
| 34 | 3.83 | 3.72945481439068 | 0.100545185609319 |
| 35 | 3.83 | 3.83965720280392 | -0.00965720280392146 |
| 36 | 3.83 | 3.82963776372347 | 0.000362236276527206 |
| 37 | 3.83 | 3.82963849287251 | 0.000361507127490501 |
| 38 | 3.83 | 3.82963922055383 | 0.000360779446165083 |
| 39 | 3.83 | 3.83047328010374 | -0.000473280103736595 |
| 40 | 3.83 | 3.83213899410013 | -0.00213899410013241 |
| 41 | 3.83 | 3.83296802183077 | -0.00296802183077327 |
| 42 | 3.83 | 3.83296204746984 | -0.00296204746984063 |
| 43 | 3.83 | 3.81962275180143 | 0.0103772481985729 |
| 44 | 3.83 | 3.82964364026848 | 0.000356359731521927 |
| 45 | 3.92 | 3.89964435758856 | 0.0203556424114422 |
| 46 | 3.92 | 3.93968533166547 | -0.0196853316654688 |
| 47 | 3.92 | 3.92964570686379 | -0.00964570686378563 |
| 48 | 3.92 | 3.91962629092363 | 0.000373709076369799 |
| 49 | 3.92 | 3.91962704316638 | 0.000372956833619043 |
| 50 | 3.92 | 3.91962779389493 | 0.000372206105065498 |
| 51 | 3.92 | 3.92046187644567 | -0.000461876445672527 |
| 52 | 3.92 | 3.92212761339661 | -0.00212761339660616 |
| 53 | 3.92 | 3.92295666403558 | -0.00295666403557959 |
| 54 | 3.92 | 3.92295071253687 | -0.00295071253686707 |
| 55 | 3.92 | 3.90961143968465 | 0.0103885603153464 |
| 56 | 3.92 | 3.91963235092198 | 0.000367649078022225 |
| 57 | 3.98 | 3.9896330909665 | -0.00963309096649656 |
| 58 | 3.98 | 3.99961370042101 | -0.0196137004210071 |
| 59 | 3.98 | 3.98957421980657 | -0.00957421980657491 |
| 60 | 3.98 | 3.97955494776343 | 0.000445052236565324 |
| 61 | 3.98 | 3.97955584361355 | 0.000444156386451677 |
| 62 | 3.98 | 3.9795567376604 | 0.000443262339603567 |
| 63 | 3.98 | 3.98039096324094 | -0.000390963240942455 |
| 64 | 3.98 | 3.98205684293378 | -0.0020568429337775 |
| 65 | 3.98 | 3.98288603602733 | -0.00288603602732573 |
| 66 | 3.98 | 3.98288022669644 | -0.00288022669643961 |
| 67 | 3.98 | 3.96954109572588 | 0.0104589042741181 |
| 68 | 3.98 | 3.97956214855927 | 0.000437851440732828 |
| 69 | 4.09 | 4.04956302991483 | 0.0404369700851737 |
| 70 | 4.09 | 4.10964442589776 | -0.0196444258977593 |
| 71 | 4.09 | 4.09960488343571 | -0.00960488343570631 |
| 72 | 4.09 | 4.08958554966944 | 0.000414450330560534 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 4.08958638392067 | 4.05468793738193 | 4.1244848304594 |
| 74 | 4.08917276784134 | 4.03976921403267 | 4.13857632165001 |
| 75 | 4.08959248509534 | 4.02902484898716 | 4.15016012120352 |
| 76 | 4.09167886901601 | 4.02167105741874 | 4.16168668061328 |
| 77 | 4.09459858627001 | 4.01624881651254 | 4.17294835602749 |
| 78 | 4.09751830352402 | 4.01160423818912 | 4.18343236885891 |
| 79 | 4.08710468744469 | 3.99421376131087 | 4.1799956135785 |
| 80 | 4.08669107136535 | 3.98728690194906 | 4.18609524078165 |
| 81 | 4.15627745528602 | 4.05073774375615 | 4.26181716681589 |
| 82 | 4.17586383920669 | 4.06450379491434 | 4.28722388349905 |
| 83 | 4.18545022312736 | 4.06853792680354 | 4.30236251945119 |
| 84 | 4.18503660704803 | 4.06280356208901 | 4.30726965200705 |
