| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.947716105380562 |
| beta | 0.0144218697861163 |
| gamma | 0 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 2.54 | 2.52706730769231 | 0.0129326923076927 |
| 14 | 2.54 | 2.54079138296584 | -0.000791382965836807 |
| 15 | 2.54 | 2.5414981145768 | -0.00149811457680427 |
| 16 | 2.54 | 2.54151458927014 | -0.00151458927013604 |
| 17 | 2.54 | 2.54149474947008 | -0.00149474947008255 |
| 18 | 2.54 | 2.54147328217406 | -0.00147328217406217 |
| 19 | 2.54 | 2.56853535653108 | -0.0285353565310769 |
| 20 | 2.54 | 2.52331025053701 | 0.0166897494629867 |
| 21 | 2.54 | 2.53242381865743 | 0.00757618134257276 |
| 22 | 2.54 | 2.54092052818057 | -0.000920528180572422 |
| 23 | 2.54 | 2.5413521876156 | -0.00135218761560152 |
| 24 | 2.54 | 2.54135627497038 | -0.00135627497037838 |
| 25 | 2.54 | 2.54133795132627 | -0.00133795132626569 |
| 26 | 2.66 | 2.54131870639245 | 0.118681293607547 |
| 27 | 2.66 | 2.65666574956426 | 0.00333425043574342 |
| 28 | 2.66 | 2.66274211420981 | -0.00274211420980919 |
| 29 | 2.66 | 2.66302233144508 | -0.00302233144507991 |
| 30 | 2.66 | 2.6629956735561 | -0.00299567355610142 |
| 31 | 2.66 | 2.69003666872951 | -0.0300366687295139 |
| 32 | 2.66 | 2.64478994094132 | 0.0152100590586781 |
| 33 | 2.66 | 2.653882154421 | 0.0061178455790003 |
| 34 | 2.66 | 2.66235781514301 | -0.00235781514300548 |
| 35 | 2.66 | 2.66276872945899 | -0.00276872945898887 |
| 36 | 2.66 | 2.66275237111334 | -0.00275237111333571 |
| 37 | 2.66 | 2.66271389687209 | -0.00271389687209034 |
| 38 | 2.66 | 2.6626747921854 | -0.00267479218539712 |
| 39 | 2.66 | 2.66263618901309 | -0.00263618901309393 |
| 40 | 2.66 | 2.66259813968383 | -0.00259813968383149 |
| 41 | 2.66 | 2.66256063936372 | -0.00256063936371875 |
| 42 | 2.66 | 2.66252368029625 | -0.00252368029625316 |
| 43 | 2.66 | 2.68957058801147 | -0.0295705880114734 |
| 44 | 2.66 | 2.64433053966987 | 0.0156694603301335 |
| 45 | 2.66 | 2.6534293813993 | 0.00657061860069685 |
| 46 | 2.66 | 2.66191157710045 | -0.00191157710045298 |
| 47 | 2.66 | 2.66232893219999 | -0.00232893219999086 |
| 48 | 2.66 | 2.66231892168139 | -0.00231892168139236 |
| 49 | 2.66 | 2.662286703646 | -0.00228670364599992 |
| 50 | 2.93 | 2.66225376486604 | 0.267746235133963 |
| 51 | 2.93 | 2.92179490338923 | 0.0082050966107694 |
| 52 | 2.93 | 2.93547687085862 | -0.00547687085861925 |
| 53 | 2.93 | 2.93611736041888 | -0.00611736041887578 |
| 54 | 2.93 | 2.93606723661473 | -0.00606723661472897 |
| 55 | 2.93 | 2.9630650232716 | -0.0330650232715963 |
| 56 | 2.93 | 2.91777464531378 | 0.0122253546862154 |
| 57 | 2.93 | 2.92682378213596 | 0.00317621786404043 |
| 58 | 2.93 | 2.9352569849507 | -0.00525698495069671 |
| 59 | 2.93 | 2.93562605401789 | -0.00562605401789407 |
| 60 | 2.93 | 2.93556845438972 | -0.00556845438971854 |
| 61 | 2.93 | 2.93548933412284 | -0.00548933412283814 |
| 62 | 2.93 | 2.93541017007616 | -0.00541017007616373 |
| 63 | 3.07 | 2.9353320857419 | 0.134667914258103 |
| 64 | 3.07 | 3.06984887721377 | 0.000151122786228974 |
| 65 | 3.07 | 3.07688400448543 | -0.00688400448543236 |
| 66 | 3.07 | 3.07715773887841 | -0.00715773887840854 |
| 67 | 3.07 | 3.10415755329456 | -0.0341575532945573 |
| 68 | 3.07 | 3.05885234883224 | 0.0111476511677564 |
| 69 | 3.07 | 3.06788598058963 | 0.00211401941036948 |
| 70 | 3.07 | 3.07630385478252 | -0.00630385478252338 |
| 71 | 3.07 | 3.07665781396212 | -0.0066578139621245 |
| 72 | 3.07 | 3.07658532240213 | -0.00658532240213106 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 3.07649152513953 | 2.99236964865003 | 3.16061340162902 |
| 74 | 3.08263874397654 | 2.965946840283 | 3.19933064767009 |
| 75 | 3.08878596281356 | 2.9461507520187 | 3.23142117360842 |
| 76 | 3.09493318165058 | 2.92981945438307 | 3.26004690891809 |
| 77 | 3.1010804004876 | 2.91568120139522 | 3.28647959957997 |
| 78 | 3.10722761932461 | 2.90307471694577 | 3.31138052170345 |
| 79 | 3.14045817149496 | 2.91868842508115 | 3.36222791790878 |
| 80 | 3.12743872366531 | 2.88893139555197 | 3.36594605177866 |
| 81 | 3.12566927583567 | 2.87112492433066 | 3.38021362734067 |
| 82 | 3.13181649467268 | 2.86180592395757 | 3.40182706538779 |
| 83 | 3.1379637135097 | 2.85296014559589 | 3.42296728142351 |
| 84 | 3.14411093234672 | 2.84451212214273 | 3.4437097425507 |
