| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.384205206240921 |
| beta | 0.0384392621248429 |
| gamma | 0.530909552576392 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 2.08 | 2.00405448717949 | 0.0759455128205131 |
| 14 | 2.26 | 2.20350393895958 | 0.0564960610404186 |
| 15 | 2.02 | 1.98506517583618 | 0.0349348241638157 |
| 16 | 1.9 | 1.88010841046039 | 0.0198915895396115 |
| 17 | 1.97 | 1.95799905958236 | 0.0120009404176395 |
| 18 | 1.76 | 1.76345198356192 | -0.00345198356192489 |
| 19 | 1.93 | 1.75375016618788 | 0.176249833812116 |
| 20 | 1.91 | 1.89777701301535 | 0.0122229869846529 |
| 21 | 1.96 | 2.07813107396837 | -0.118131073968367 |
| 22 | 1.99 | 1.98124113298092 | 0.00875886701907569 |
| 23 | 1.98 | 2.03364899050081 | -0.0536489905008053 |
| 24 | 1.96 | 2.2029537723342 | -0.242953772334197 |
| 25 | 1.95 | 2.26160089441925 | -0.311600894419252 |
| 26 | 2.26 | 2.29975060006699 | -0.0397506000669945 |
| 27 | 2.07 | 2.02981913608865 | 0.0401808639113512 |
| 28 | 2.02 | 1.91457210959919 | 0.105427890400808 |
| 29 | 2.07 | 2.01662208667701 | 0.0533779133229926 |
| 30 | 1.88 | 1.82740682876553 | 0.0525931712344687 |
| 31 | 1.75 | 1.8933023286324 | -0.1433023286324 |
| 32 | 1.78 | 1.85152504895684 | -0.0715250489568413 |
| 33 | 1.87 | 1.94644400713547 | -0.0764440071354691 |
| 34 | 1.94 | 1.89702856690417 | 0.0429714330958346 |
| 35 | 2.03 | 1.93265707094046 | 0.0973429290595447 |
| 36 | 2.13 | 2.09079308749419 | 0.0392069125058097 |
| 37 | 2.04 | 2.23228104532079 | -0.192281045320792 |
| 38 | 2.18 | 2.4037887488219 | -0.223788748821899 |
| 39 | 2.02 | 2.08520130118738 | -0.0652013011873795 |
| 40 | 1.99 | 1.9451611833457 | 0.044838816654299 |
| 41 | 2.09 | 2.00038492795031 | 0.0896150720496891 |
| 42 | 1.88 | 1.81883996289344 | 0.0611600371065635 |
| 43 | 1.8 | 1.81811338417104 | -0.0181133841710381 |
| 44 | 1.77 | 1.84388031675841 | -0.0738803167584114 |
| 45 | 1.85 | 1.93223114920342 | -0.0822311492034171 |
| 46 | 1.9 | 1.915492382782 | -0.0154923827820015 |
| 47 | 2.03 | 1.94143057790312 | 0.0885694220968831 |
| 48 | 2.02 | 2.07205575717082 | -0.0520557571708231 |
| 49 | 2.09 | 2.0963181111222 | -0.00631811112220326 |
| 50 | 2.3 | 2.32523794888009 | -0.0252379488800858 |
| 51 | 2.16 | 2.1339793315686 | 0.0260206684314013 |
| 52 | 2.02 | 2.06550732270776 | -0.0455073227077616 |
| 53 | 2.31 | 2.09986867883609 | 0.210131321163909 |
| 54 | 1.98 | 1.95631400100464 | 0.0236859989953635 |
| 55 | 1.74 | 1.91570945780491 | -0.175709457804908 |
| 56 | 1.82 | 1.86080445449298 | -0.0408044544929753 |
| 57 | 2.07 | 1.95773079358771 | 0.112269206412295 |
| 58 | 2.04 | 2.03900929870877 | 0.000990701291234242 |
| 59 | 2.07 | 2.10701510525472 | -0.0370151052547181 |
| 60 | 2.13 | 2.1432742335663 | -0.0132742335662992 |
| 61 | 2.14 | 2.19782142442097 | -0.0578214244209709 |
| 62 | 2.43 | 2.40043900696745 | 0.0295609930325513 |
| 63 | 2.26 | 2.24747285229238 | 0.0125271477076194 |
| 64 | 2.11 | 2.15071291620063 | -0.0407129162006261 |
| 65 | 2.19 | 2.27084449432876 | -0.0808444943287636 |
| 66 | 2.04 | 1.95059518149866 | 0.0894048185013379 |
| 67 | 2.04 | 1.86707670689037 | 0.172923293109631 |
| 68 | 2.05 | 1.99239687971341 | 0.0576031202865908 |
| 69 | 2.08 | 2.18080382171249 | -0.100803821712486 |
| 70 | 1.98 | 2.14431867021491 | -0.164318670214911 |
| 71 | 2.07 | 2.13442562496257 | -0.0644256249625723 |
| 72 | 2.12 | 2.16554946839848 | -0.045549468398483 |
| 73 | 2.15 | 2.19029015892195 | -0.0402901589219486 |
| 74 | 2.35 | 2.42562799291993 | -0.0756279929199262 |
| 75 | 2.19 | 2.22254189129545 | -0.0325418912954536 |
| 76 | 2.17 | 2.08625785235469 | 0.0837421476453128 |
| 77 | 2.3 | 2.23812096798689 | 0.0618790320131066 |
| 78 | 2.09 | 2.02750995894697 | 0.0624900410530276 |
| 79 | 1.95 | 1.95970134698116 | -0.00970134698116443 |
| 80 | 1.89 | 1.9732031536187 | -0.0832031536187001 |
| 81 | 1.95 | 2.04969264176491 | -0.0996926417649149 |
| 82 | 1.98 | 1.9868550707077 | -0.00685507070769509 |
| 83 | 1.95 | 2.06642969226131 | -0.116429692261312 |
| 84 | 2.06 | 2.07928764909357 | -0.0192876490935747 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 2.11176868944977 | 1.92617576904072 | 2.29736160985881 |
| 86 | 2.34755918375964 | 2.14774014820904 | 2.54737821931025 |
| 87 | 2.1852588813861 | 1.97119349439773 | 2.39932426837446 |
| 88 | 2.09761803377776 | 1.86925694594568 | 2.32597912160983 |
| 89 | 2.20704602211335 | 1.96431765114683 | 2.44977439307986 |
| 90 | 1.96883343980285 | 1.71164898784147 | 2.22601789176423 |
| 91 | 1.84846422838549 | 1.57672142217476 | 2.12020703459622 |
| 92 | 1.83685660076198 | 1.55044253201282 | 2.12327066951113 |
| 93 | 1.93634433616881 | 1.63513765298142 | 2.23755101935619 |
| 94 | 1.94005511858188 | 1.62392773934885 | 2.25618249781492 |
| 95 | 1.98443576598014 | 1.65325423569043 | 2.31561729626984 |
| 96 | 2.07350054403897 | 1.72712711863632 | 2.41987396944163 |
