| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.685421250451419 |
| beta | 0.0109412799866998 |
| gamma | 0.819241958975001 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | -1 | -3.31597222222222 | 2.31597222222222 |
| 14 | 1 | 0.404343026594128 | 0.595656973405872 |
| 15 | -1 | -1.0083486254832 | 0.00834862548320059 |
| 16 | 2 | 2.30146870976924 | -0.301468709769238 |
| 17 | 2 | 2.77166982951722 | -0.771669829517215 |
| 18 | 1 | 1.6221313933677 | -0.622131393367705 |
| 19 | -1 | -0.387909157562383 | -0.612090842437617 |
| 20 | -2 | -0.77065800689697 | -1.22934199310303 |
| 21 | -2 | -1.75236988832863 | -0.24763011167137 |
| 22 | -1 | 1.81194734184801 | -2.81194734184801 |
| 23 | -8 | -1.56912749509779 | -6.43087250490221 |
| 24 | -4 | -15.3539181366036 | 11.3539181366036 |
| 25 | -6 | 0.025042096006064 | -6.02504209600606 |
| 26 | -3 | -2.46830675080823 | -0.531693249191773 |
| 27 | -3 | -4.86672413574398 | 1.86672413574398 |
| 28 | -7 | -0.410702088466094 | -6.58929791153391 |
| 29 | -9 | -4.46636641914675 | -4.53363358085325 |
| 30 | -11 | -8.278983999596 | -2.721016000404 |
| 31 | -13 | -11.8638851060551 | -1.13611489394494 |
| 32 | -11 | -12.9076446560152 | 1.90764465601521 |
| 33 | -9 | -11.6054286982549 | 2.60542869825488 |
| 34 | -17 | -6.84426644695912 | -10.1557335530409 |
| 35 | -22 | -16.3444938690495 | -5.65550613095055 |
| 36 | -25 | -25.1615002078146 | 0.161500207814605 |
| 37 | -20 | -22.1639307391548 | 2.16393073915477 |
| 38 | -24 | -17.7982784440531 | -6.20172155594685 |
| 39 | -24 | -23.6770840098649 | -0.322915990135083 |
| 40 | -22 | -23.1297029984632 | 1.12970299846317 |
| 41 | -19 | -21.5354965363271 | 2.53549653632709 |
| 42 | -18 | -20.1533015045825 | 2.15330150458254 |
| 43 | -17 | -20.0698930205685 | 3.06989302056847 |
| 44 | -11 | -17.4959027745699 | 6.49590277456988 |
| 45 | -11 | -12.8841211746108 | 1.88412117461078 |
| 46 | -12 | -11.9266790637132 | -0.0733209362868408 |
| 47 | -10 | -13.3013771382994 | 3.30137713829941 |
| 48 | -15 | -14.3577895975606 | -0.642210402439424 |
| 49 | -15 | -11.2788496897074 | -3.72115031029261 |
| 50 | -15 | -13.0308627140534 | -1.96913728594661 |
| 51 | -13 | -14.3897027183189 | 1.38970271831885 |
| 52 | -8 | -12.1774500946021 | 4.17745009460211 |
| 53 | -13 | -7.99245809288604 | -5.00754190711396 |
| 54 | -9 | -11.7959886055597 | 2.79598860555974 |
| 55 | -7 | -10.9480974507894 | 3.9480974507894 |
| 56 | -4 | -6.79489244862469 | 2.79489244862469 |
| 57 | -4 | -5.84181083010761 | 1.84181083010761 |
| 58 | -2 | -5.3515692354628 | 3.3515692354628 |
| 59 | 0 | -3.41711190805034 | 3.41711190805034 |
| 60 | -2 | -5.31770656740246 | 3.31770656740246 |
| 61 | -3 | -0.195534118597912 | -2.80446588140209 |
| 62 | 1 | -0.738321883162166 | 1.73832188316217 |
| 63 | -2 | 1.46682855157308 | -3.46682855157308 |
| 64 | -1 | 1.18952980592264 | -2.18952980592264 |
| 65 | 1 | -1.28363942049685 | 2.28363942049685 |
| 66 | -3 | 2.0491581229258 | -5.0491581229258 |
| 67 | -4 | -2.11439587668134 | -1.88560412331866 |
| 68 | -9 | -2.23181447422992 | -6.76818552577008 |
| 69 | -9 | -8.12569248221572 | -0.874307517784276 |
| 70 | -7 | -9.1750145514358 | 2.1750145514358 |
| 71 | -14 | -8.10589233589473 | -5.89410766410527 |
| 72 | -12 | -16.5598324751695 | 4.55983247516954 |
| 73 | -16 | -12.3003671863524 | -3.69963281364763 |
| 74 | -20 | -12.4289891735743 | -7.57101082642573 |
| 75 | -12 | -18.1589359910358 | 6.15893599103585 |
| 76 | -12 | -11.6499950381095 | -0.350004961890455 |
| 77 | -10 | -11.8363560982867 | 1.83635609828668 |
| 78 | -10 | -10.8301194945674 | 0.830119494567418 |
| 79 | -13 | -10.2347052526963 | -2.76529474730373 |
| 80 | -16 | -12.3061119366409 | -3.69388806335913 |
| 81 | -14 | -14.6435080198567 | 0.643508019856728 |
| 82 | -17 | -13.9248991613344 | -3.07510083866558 |
| 83 | -24 | -18.6315045601661 | -5.36849543983395 |
| 84 | -25 | -24.1247325067592 | -0.87526749324082 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | -25.853659812623 | -33.2998706301959 | -18.40744899505 |
| 86 | -24.5509086670329 | -33.6100405047317 | -15.4917768293342 |
| 87 | -21.603034677773 | -32.0562184340711 | -11.1498509214749 |
| 88 | -21.0891459193564 | -32.7962307473476 | -9.38206109136519 |
| 89 | -20.5656484856629 | -33.4277812750959 | -7.70351569622997 |
| 90 | -21.1846871167731 | -35.1278274184507 | -7.24154681509553 |
| 91 | -22.1983503365941 | -37.1647185188625 | -7.23198215432564 |
| 92 | -22.7064404266679 | -38.6495813291852 | -6.7632995241507 |
| 93 | -21.459210123719 | -38.3409189810245 | -4.57750126641349 |
| 94 | -22.2099065050455 | -39.9982023633565 | -4.42161064673462 |
| 95 | -25.4466415665914 | -44.1143705472976 | -6.77891258588513 |
| 96 | -26.1087753920129 | -45.6326130748399 | -6.58493770918582 |
