| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.793999311610606 |
| beta | 0.0134193323937087 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 4.53 | 4.42301587278106 | 0.106984127218944 |
| 14 | 4.63 | 4.60852587409124 | 0.0214741259087559 |
| 15 | 4.66 | 4.65676026637629 | 0.00323973362370555 |
| 16 | 4.67 | 4.6714010798474 | -0.00140107984740201 |
| 17 | 4.68 | 4.68275686774525 | -0.00275686774524875 |
| 18 | 4.69 | 4.69342170442019 | -0.00342170442019096 |
| 19 | 4.69 | 4.68937928867316 | 0.000620711326839718 |
| 20 | 4.7 | 4.69626861670553 | 0.00373138329446832 |
| 21 | 4.71 | 4.72139034061084 | -0.0113903406108378 |
| 22 | 4.72 | 4.73263663761863 | -0.0126366376186278 |
| 23 | 4.72 | 4.72142954082522 | -0.00142954082522362 |
| 24 | 4.72 | 4.72999254138796 | -0.00999254138796157 |
| 25 | 4.73 | 4.74519011869151 | -0.0151901186915113 |
| 26 | 4.74 | 4.81861215888169 | -0.0786121588816897 |
| 27 | 4.76 | 4.78245801993673 | -0.0224580199367317 |
| 28 | 4.81 | 4.77389894447478 | 0.0361010555252168 |
| 29 | 4.82 | 4.81329686965032 | 0.00670313034968029 |
| 30 | 4.83 | 4.82999158479271 | 8.415207288337e-06 |
| 31 | 4.83 | 4.82781029196342 | 0.00218970803657914 |
| 32 | 4.84 | 4.83513728283315 | 0.00486271716684783 |
| 33 | 4.89 | 4.85695726757439 | 0.0330427324256100 |
| 34 | 4.92 | 4.90265445070686 | 0.0173455492931449 |
| 35 | 4.95 | 4.91654311115185 | 0.0334568888481543 |
| 36 | 4.95 | 4.95061577380595 | -0.000615773805945352 |
| 37 | 5.01 | 4.97253420928564 | 0.0374657907143590 |
| 38 | 5.05 | 5.07832615284318 | -0.0283261528431797 |
| 39 | 5.08 | 5.09627139944495 | -0.0162713994449462 |
| 40 | 5.11 | 5.10625070981115 | 0.00374929018884895 |
| 41 | 5.14 | 5.11408777720027 | 0.0259122227997324 |
| 42 | 5.17 | 5.14534547348452 | 0.0246545265154818 |
| 43 | 5.18 | 5.16328800257754 | 0.0167119974224645 |
| 44 | 5.2 | 5.18347115235441 | 0.0165288476455903 |
| 45 | 5.22 | 5.22249238500372 | -0.00249238500372240 |
| 46 | 5.24 | 5.23795544450701 | 0.00204455549299443 |
| 47 | 5.28 | 5.24319914961394 | 0.0368008503860553 |
| 48 | 5.29 | 5.27294965702446 | 0.0170503429755353 |
| 49 | 5.33 | 5.31889283735148 | 0.0111071626485151 |
| 50 | 5.4 | 5.39406203097145 | 0.00593796902855104 |
| 51 | 5.43 | 5.44485234825027 | -0.0148523482502698 |
| 52 | 5.46 | 5.46218031798748 | -0.00218031798747997 |
| 53 | 5.46 | 5.47066968608911 | -0.0106696860891091 |
| 54 | 5.46 | 5.47313146498262 | -0.0131314649826244 |
| 55 | 5.47 | 5.45881851498091 | 0.0111814850190921 |
| 56 | 5.49 | 5.47447581893316 | 0.0155241810668363 |
| 57 | 5.5 | 5.50951006943973 | -0.00951006943972654 |
| 58 | 5.54 | 5.52079455688484 | 0.0192054431151565 |
| 59 | 5.55 | 5.54698821631941 | 0.00301178368058519 |
| 60 | 5.55 | 5.5449817232243 | 0.00501827677569988 |
| 61 | 5.56 | 5.58090218580957 | -0.0209021858095735 |
| 62 | 5.6 | 5.63143873107618 | -0.0314387310761832 |
| 63 | 5.61 | 5.6485507245144 | -0.038550724514403 |
| 64 | 5.63 | 5.64928596073528 | -0.0192859607352833 |
| 65 | 5.64 | 5.64110475250088 | -0.00110475250088182 |
| 66 | 5.66 | 5.64947139550498 | 0.0105286044950210 |
| 67 | 5.67 | 5.65766457555686 | 0.0123354244431413 |
| 68 | 5.69 | 5.67409072126757 | 0.0159092787324298 |
| 69 | 5.77 | 5.70359233727328 | 0.066407662726724 |
| 70 | 5.77 | 5.78149934471408 | -0.0114993447140765 |
| 71 | 5.78 | 5.77934351192316 | 0.000656488076837825 |
| 72 | 5.8 | 5.77475016790168 | 0.0252498320983214 |
| 73 | 5.82 | 5.82174776315338 | -0.00174776315338043 |
| 74 | 5.85 | 5.8876809894394 | -0.0376809894394032 |
| 75 | 5.87 | 5.89950454879958 | -0.0295045487995811 |
| 76 | 5.88 | 5.91244902444505 | -0.0324490244450510 |
| 77 | 5.9 | 5.89735838093163 | 0.00264161906837401 |
| 78 | 5.91 | 5.91096243344079 | -0.000962433440787613 |
| 79 | 5.94 | 5.90965281855829 | 0.0303471814417087 |
| 80 | 5.97 | 5.94083790310244 | 0.0291620968975597 |
| 81 | 5.98 | 5.99193331108579 | -0.0119333110857864 |
| 82 | 6 | 5.99077180815508 | 0.0092281918449233 |
| 83 | 6.01 | 6.00697514595099 | 0.00302485404900654 |
| 84 | 6.02 | 6.00835582446629 | 0.0116441755337133 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 6.03872769907324 | 5.98977037594607 | 6.08768502220042 |
| 86 | 6.09980441808209 | 6.03679906429614 | 6.16280977186804 |
| 87 | 6.14431686850492 | 6.06956061664446 | 6.21907312036539 |
| 88 | 6.18122429041336 | 6.09607335751191 | 6.26637522331481 |
| 89 | 6.1998188275379 | 6.10534036207723 | 6.29429729299858 |
| 90 | 6.2108839491733 | 6.1078130305737 | 6.31395486777289 |
| 91 | 6.21682567427785 | 6.10572911312519 | 6.32792223543051 |
| 92 | 6.22347603767031 | 6.10473736008383 | 6.34221471525679 |
| 93 | 6.24304285184837 | 6.11676166687579 | 6.36932403682094 |
| 94 | 6.2556421582667 | 6.12220578703057 | 6.38907852950283 |
| 95 | 6.26286203233476 | 6.12259749960473 | 6.4031265650648 |
| 96 | 6.26292209369048 | 3.87035203178801 | 8.65549215559295 |
