| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.500243980146683 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 4.43 | 4.53 | -0.0999999999999996 |
| 4 | 4.44 | 4.52997560198533 | -0.0899756019853308 |
| 5 | 4.44 | 4.49496584873210 | -0.0549658487320954 |
| 6 | 4.44 | 4.46746951379021 | -0.0274695137902112 |
| 7 | 4.44 | 4.4537280548791 | -0.0137280548791017 |
| 8 | 4.44 | 4.44686067806671 | -0.0068606780667082 |
| 9 | 4.45 | 4.44342866516411 | 0.00657133483588712 |
| 10 | 4.45 | 4.45671593585729 | -0.00671593585729369 |
| 11 | 4.45 | 4.45335632937363 | -0.00335632937363162 |
| 12 | 4.45 | 4.45167734580908 | -0.00167734580908263 |
| 13 | 4.45 | 4.45083826366546 | -0.000838263665464467 |
| 14 | 4.45 | 4.45041892731304 | -0.000418927313040385 |
| 15 | 4.45 | 4.45020936144657 | -0.000209361446573020 |
| 16 | 4.45 | 4.45010462964325 | -0.000104629643249865 |
| 17 | 4.46 | 4.45005228929407 | 0.00994771070593092 |
| 18 | 4.46 | 4.46502857169095 | -0.00502857169095172 |
| 19 | 4.46 | 4.46251305897382 | -0.00251305897381737 |
| 20 | 4.48 | 4.46125591635041 | 0.0187440836495893 |
| 21 | 4.58 | 4.49063253135949 | 0.089367468640515 |
| 22 | 4.67 | 4.63533806956785 | 0.0346619304321507 |
| 23 | 4.68 | 4.7426774916068 | -0.062677491606796 |
| 24 | 4.68 | 4.7213234537398 | -0.0413234537398015 |
| 25 | 4.69 | 4.7006516447676 | -0.0106516447675951 |
| 26 | 4.69 | 4.70532322359395 | -0.0153232235939456 |
| 27 | 4.69 | 4.69765787323463 | -0.00765787323463307 |
| 28 | 4.69 | 4.69382706824828 | -0.00382706824828105 |
| 29 | 4.69 | 4.69191260039547 | -0.00191260039546837 |
| 30 | 4.69 | 4.69095583356121 | -0.000955833561208763 |
| 31 | 4.69 | 4.69047768357619 | -0.000477683576192156 |
| 32 | 4.73 | 4.69023872524279 | 0.0397612747572129 |
| 33 | 4.78 | 4.75012906358304 | 0.0298709364169589 |
| 34 | 4.79 | 4.81507181970697 | -0.0250718197069695 |
| 35 | 4.79 | 4.81252979282723 | -0.0225297928272346 |
| 36 | 4.8 | 4.80125939959146 | -0.00125939959145871 |
| 37 | 4.8 | 4.81062939252723 | -0.0106293925272318 |
| 38 | 4.81 | 4.80531210290287 | 0.00468789709713135 |
| 39 | 5.16 | 4.81765719520526 | 0.342342804794745 |
| 40 | 5.26 | 5.33891212245036 | -0.0789121224503582 |
| 41 | 5.29 | 5.39943680823397 | -0.109436808233968 |
| 42 | 5.29 | 5.37469170370846 | -0.0846917037084589 |
| 43 | 5.29 | 5.33232518875994 | -0.0423251887599356 |
| 44 | 5.3 | 5.3111522678742 | -0.0111522678742064 |
| 45 | 5.3 | 5.31557341300515 | -0.0155734130051508 |
| 46 | 5.3 | 5.30778290689899 | -0.00778290689898586 |
| 47 | 5.3 | 5.30388955457473 | -0.00388955457472662 |
| 48 | 5.3 | 5.30194382831327 | -0.00194382831326756 |
| 49 | 5.3 | 5.30097143990112 | -0.000971439901117144 |
| 50 | 5.3 | 5.30048548293851 | -0.00048548293850903 |
| 51 | 5.3 | 5.30024262302106 | -0.000242623021056154 |
| 52 | 5.35 | 5.30012125231533 | 0.049878747684672 |
| 53 | 5.44 | 5.37507279558184 | 0.0649272044181606 |
| 54 | 5.47 | 5.49755223873978 | -0.0275522387397791 |
| 55 | 5.47 | 5.51376939717064 | -0.0437693971706397 |
| 56 | 5.48 | 5.49187401972138 | -0.0118740197213771 |
| 57 | 5.48 | 5.49593411283562 | -0.0159341128356161 |
| 58 | 5.48 | 5.48796316881062 | -0.00796316881062076 |
| 59 | 5.48 | 5.48397964155022 | -0.0039796415502158 |
| 60 | 5.48 | 5.48198884982158 | -0.00198884982157921 |
| 61 | 5.48 | 5.48099393967092 | -0.00099393967091821 |
| 62 | 5.48 | 5.48049672733391 | -0.000496727333912261 |
| 63 | 5.5 | 5.48024824247535 | 0.0197517575246513 |
| 64 | 5.55 | 5.51012894027437 | 0.0398710597256278 |
| 65 | 5.57 | 5.58007419788419 | -0.0100741978841858 |
| 66 | 5.58 | 5.59503464103782 | -0.0150346410378157 |
| 67 | 5.58 | 5.59751365236498 | -0.0175136523649817 |
| 68 | 5.58 | 5.58875255319902 | -0.00875255319901846 |
| 69 | 5.59 | 5.5843741411503 | 0.00562585884970446 |
| 70 | 5.59 | 5.59718844317301 | -0.00718844317301492 |
| 71 | 5.59 | 5.59359246774909 | -0.00359246774908772 |
| 72 | 5.55 | 5.59179535738374 | -0.0417953573837355 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 5.53088748145444 | 5.4255616427844 | 5.63621332012448 |
| 74 | 5.51177496290889 | 5.32187472485534 | 5.70167520096243 |
| 75 | 5.49266244436333 | 5.20901145276714 | 5.77631343595951 |
| 76 | 5.47354992581777 | 5.08646716099425 | 5.86063269064129 |
| 77 | 5.45443740727221 | 4.95469764854542 | 5.95417716599901 |
| 78 | 5.43532488872666 | 4.81425295682991 | 6.0563968206234 |
| 79 | 5.4162123701811 | 4.66564138625880 | 6.16678335410339 |
| 80 | 5.39709985163554 | 4.5093096855093 | 6.28489001776179 |
| 81 | 5.37798733308998 | 4.34564714848373 | 6.41032751769623 |
| 82 | 5.35887481454443 | 4.17499407070954 | 6.54275555837931 |
| 83 | 5.33976229599887 | 3.99764991756302 | 6.68187467443472 |
| 84 | 5.32064977745331 | 3.81388021988794 | 6.82741933501868 |
