| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.828168060312446 |
| beta | 0.0625593211151414 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 3.95 | 3.96646367521367 | -0.0164636752136746 |
| 14 | 3.92 | 3.92168463300701 | -0.00168463300700594 |
| 15 | 3.92 | 3.91697450796906 | 0.00302549203093649 |
| 16 | 3.92 | 3.91548857434189 | 0.00451142565811002 |
| 17 | 3.92 | 3.91588364545259 | 0.00411635454740988 |
| 18 | 3.9 | 3.89616479810058 | 0.00383520189941589 |
| 19 | 3.92 | 3.93724514283638 | -0.0172451428363778 |
| 20 | 3.94 | 3.90330728819732 | 0.0366927118026834 |
| 21 | 3.96 | 3.94719007789382 | 0.0128099221061753 |
| 22 | 3.95 | 3.94112424798462 | 0.00887575201537549 |
| 23 | 3.96 | 3.98142678017134 | -0.021426780171343 |
| 24 | 3.97 | 3.95594027613357 | 0.0140597238664339 |
| 25 | 3.99 | 3.97815867184657 | 0.0118413281534271 |
| 26 | 4 | 3.9624385213366 | 0.0375614786634033 |
| 27 | 4.05 | 3.99615152945716 | 0.0538484705428353 |
| 28 | 4.08 | 4.04475542107573 | 0.0352445789242681 |
| 29 | 4.09 | 4.07987162248304 | 0.0101283775169643 |
| 30 | 4.12 | 4.07473171042693 | 0.0452682895730652 |
| 31 | 4.14 | 4.15829825239779 | -0.0182982523977948 |
| 32 | 4.15 | 4.1444968449316 | 0.00550315506840349 |
| 33 | 4.15 | 4.16857004709232 | -0.0185700470923242 |
| 34 | 4.15 | 4.14433896148263 | 0.0056610385173661 |
| 35 | 4.15 | 4.18510432322311 | -0.0351043232231119 |
| 36 | 4.2 | 4.1620116967198 | 0.037988303280204 |
| 37 | 4.22 | 4.21252898429019 | 0.0074710157098048 |
| 38 | 4.22 | 4.20624579757085 | 0.0137542024291513 |
| 39 | 4.22 | 4.2304443327247 | -0.0104443327247017 |
| 40 | 4.23 | 4.22667857634054 | 0.00332142365946542 |
| 41 | 4.3 | 4.23345968860719 | 0.0665403113928127 |
| 42 | 4.29 | 4.28641759320924 | 0.00358240679075994 |
| 43 | 4.32 | 4.32771982160965 | -0.00771982160964502 |
| 44 | 4.31 | 4.33049840458677 | -0.0204984045867693 |
| 45 | 4.35 | 4.3312836991978 | 0.018716300802196 |
| 46 | 4.34 | 4.34640974108686 | -0.0064097410868591 |
| 47 | 4.35 | 4.37386238551718 | -0.0238623855171838 |
| 48 | 4.38 | 4.3769107691992 | 0.00308923080080437 |
| 49 | 4.39 | 4.39574495545361 | -0.00574495545361486 |
| 50 | 4.38 | 4.38137470165782 | -0.00137470165782183 |
| 51 | 4.34 | 4.38988038344434 | -0.0498803834443367 |
| 52 | 4.33 | 4.35477168180775 | -0.0247716818077457 |
| 53 | 4.33 | 4.34664584782787 | -0.0166458478278715 |
| 54 | 4.33 | 4.31307945148385 | 0.016920548516155 |
| 55 | 4.33 | 4.35736286127262 | -0.0273628612726204 |
| 56 | 4.32 | 4.33453728110143 | -0.0145372811014273 |
| 57 | 4.35 | 4.34016591389712 | 0.00983408610287739 |
| 58 | 4.35 | 4.33632653570059 | 0.0136734642994067 |
| 59 | 4.35 | 4.37116103405593 | -0.0211610340559334 |
| 60 | 4.36 | 4.37496620169211 | -0.0149662016921104 |
| 61 | 4.38 | 4.37028247721952 | 0.00971752278048221 |
| 62 | 4.41 | 4.36322282565682 | 0.0467771743431786 |
| 63 | 4.43 | 4.39952038120147 | 0.030479618798533 |
| 64 | 4.42 | 4.43569001916491 | -0.0156900191649072 |
| 65 | 4.43 | 4.43736439904135 | -0.00736439904134834 |
| 66 | 4.43 | 4.41861604267706 | 0.0113839573229439 |
| 67 | 4.42 | 4.45178173307565 | -0.0317817330756531 |
| 68 | 4.46 | 4.42834830141174 | 0.0316516985882629 |
| 69 | 4.44 | 4.47965785792587 | -0.0396578579258726 |
| 70 | 4.41 | 4.43616730755773 | -0.026167307557726 |
| 71 | 4.41 | 4.43063388334194 | -0.0206338833419437 |
| 72 | 4.46 | 4.43458001350743 | 0.0254199864925733 |
| 73 | 4.5 | 4.46831660903837 | 0.031683390961633 |
| 74 | 4.58 | 4.4876867798876 | 0.0923132201123993 |
| 75 | 4.61 | 4.56312495946179 | 0.0468750405382128 |
| 76 | 4.65 | 4.61001835027203 | 0.0399816497279719 |
| 77 | 4.55 | 4.66719217097449 | -0.117192170974493 |
| 78 | 4.63 | 4.56298272712387 | 0.0670172728761251 |
| 79 | 4.69 | 4.63996044875245 | 0.0500395512475471 |
| 80 | 4.72 | 4.70458335213096 | 0.015416647869043 |
| 81 | 4.71 | 4.73874783787902 | -0.0287478378790187 |
| 82 | 4.74 | 4.7157295083191 | 0.0242704916809036 |
| 83 | 4.77 | 4.76464982451055 | 0.00535017548945316 |
| 84 | 4.78 | 4.8111068196066 | -0.0311068196066007 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 4.80925551125826 | 4.74760903291008 | 4.87090198960643 |
| 86 | 4.82131268454686 | 4.7391964112458 | 4.90342895784793 |
| 87 | 4.81621759294965 | 4.7160048313538 | 4.91643035454549 |
| 88 | 4.82440280886616 | 4.70727366737646 | 4.94153195035586 |
| 89 | 4.82068292846167 | 4.6872910295504 | 4.95407482737294 |
| 90 | 4.85047835345939 | 4.70119510567272 | 4.99976160124606 |
| 91 | 4.87086204502673 | 4.705889605917 | 5.03583448413645 |
| 92 | 4.88732678861074 | 4.70675809464821 | 5.06789548257327 |
| 93 | 4.89956841784447 | 4.70342221587703 | 5.09571461981192 |
| 94 | 4.90939137481602 | 4.69763409550189 | 5.12114865413014 |
| 95 | 4.93362608811505 | 4.70618622049265 | 5.16106595573744 |
| 96 | 4.96777612970637 | 4.72455405335039 | 5.21099820606235 |
