| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.00511311737670761 |
| beta | 0.260114412291294 |
| gamma | 0.525051146760498 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | -2.7007627224408 | -3.07843489276669 | 0.377672170325891 |
| 14 | -0.721411049152714 | -1.14414607616718 | 0.422735027014468 |
| 15 | -0.149388576811997 | -0.541679990965137 | 0.39229141415314 |
| 16 | -0.118199629770334 | -0.346851142738269 | 0.228651512967935 |
| 17 | -0.676562489695275 | -0.650349492584578 | -0.0262129971106967 |
| 18 | 1.79699928690761 | 1.99144775679617 | -0.194448469888564 |
| 19 | 1.79845572032988 | 0.628194406684996 | 1.17026131364488 |
| 20 | 0.245100010770855 | 0.335905416592872 | -0.090805405822017 |
| 21 | 1.80710848932636 | 2.29450177275622 | -0.487393283429857 |
| 22 | -1.75934771184948 | 1.22865088406288 | -2.98799859591236 |
| 23 | -0.0186697168761931 | 2.551450621411 | -2.57012033828719 |
| 24 | 0.189651523600062 | 1.10909622888707 | -0.919444705287008 |
| 25 | -1.84149562719087 | -2.84152733828757 | 1.00003171109670 |
| 26 | -1.07019530156943 | -0.885920041691832 | -0.184275259877598 |
| 27 | -0.507291477584104 | -0.308670759806620 | -0.198620717777484 |
| 28 | 0.866365633831705 | -0.209339592390441 | 1.07570522622215 |
| 29 | -1.76077926699189 | -0.64750923678777 | -1.11327003020412 |
| 30 | -0.580719393339347 | 1.89353370868427 | -2.47425310202362 |
| 31 | -0.435702079860853 | 1.22115451235218 | -1.65685659221303 |
| 32 | -0.994868534845203 | 0.241563466848861 | -1.23643200169406 |
| 33 | 1.63136048315789 | 1.97150653754671 | -0.340146054388816 |
| 34 | -1.1949403709466 | -0.415259403324323 | -0.779680967622277 |
| 35 | -1.00525975426991 | 1.12461887306691 | -2.12987862733682 |
| 36 | 1.32302234837564 | 0.534860207874224 | 0.788162140501416 |
| 37 | -0.628357549594746 | -2.41400381177643 | 1.78564626218169 |
| 38 | 0.632048410440518 | -1.08161881916941 | 1.71366722960993 |
| 39 | -2.16903155809288 | -0.508231423848648 | -1.66080013424423 |
| 40 | 2.53779364144266 | 0.241271235302312 | 2.29652240614035 |
| 41 | -0.632933703679292 | -1.34049728118701 | 0.707563577507715 |
| 42 | -1.417491963422 | 0.494951825516196 | -1.91244378893820 |
| 43 | -0.455343045381255 | 0.249200970004793 | -0.704544015386047 |
| 44 | 0.812255211942954 | -0.507863305722332 | 1.32011851766529 |
| 45 | 0.627897309219833 | 1.70478342316529 | -1.07688611394546 |
| 46 | 0.650904313655623 | -0.914885767482161 | 1.56579008113778 |
| 47 | -1.29800419154382 | -0.0647312780017505 | -1.23327291354207 |
| 48 | 0.74391671726854 | 0.87915529562683 | -0.135238578358290 |
| 49 | -1.50461634127457 | -1.54983196119136 | 0.0452156199167872 |
| 50 | -1.42734677658523 | -0.262714263898025 | -1.16463251268720 |
| 51 | 0.263353807408564 | -1.46934961426520 | 1.73270342167377 |
| 52 | -0.430830854870631 | 1.36659353103896 | -1.79742438590959 |
| 53 | 0.379576092518008 | -1.06965522176257 | 1.44923131428058 |
| 54 | 1.70309353400146 | -0.601560086531992 | 2.30465362053345 |
| 55 | -3.12314448117342 | -0.191715463240113 | -2.93142901793331 |
| 56 | -1.32526207118689 | 0.0975546571912894 | -1.42281672837818 |
| 57 | -0.60032490743804 | 1.04051827031719 | -1.64084317775523 |
| 58 | 1.23607137604666 | -0.20588229765998 | 1.44195367370664 |
| 59 | 0.738007075905376 | -0.822955745751313 | 1.56096282165669 |
| 60 | 0.899100896289585 | 0.70805274367383 | 0.191048152615755 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | -1.62531067371396 | -4.41179533567949 | 1.16117398825156 |
| 62 | -0.970776169290266 | -3.75731866930500 | 1.81576633072447 |
| 63 | -0.656804300749603 | -3.44343097913932 | 2.12982237764011 |
| 64 | 0.325135427083718 | -2.46160669614828 | 3.11187755031571 |
| 65 | -0.404711546120209 | -3.19160530503655 | 2.38218221279613 |
| 66 | 0.502157150503387 | -2.28492935695182 | 3.28924365795859 |
| 67 | -1.83866182775345 | -4.62598711557029 | 0.948663460063385 |
| 68 | -0.746181142481291 | -3.53379615763881 | 2.04143387267623 |
| 69 | 0.0922334312146882 | -2.69572716875365 | 2.88019403118303 |
| 70 | 0.468820442929303 | -2.31954650420794 | 3.25718739006654 |
| 71 | -0.0911293248799895 | -2.87996827980696 | 2.69770963004698 |
| 72 | 0.71655434253189 | -2.07282717133810 | 3.50593585640188 |
