| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.672918133004308 |
| beta | 0.000555793245723121 |
| gamma | 0.637515631536196 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | -1 | -3.31597222222222 | 2.31597222222222 |
| 14 | 1 | 0.358883966052838 | 0.641116033947162 |
| 15 | -1 | -1.05139449872368 | 0.051394498723683 |
| 16 | 2 | 2.26651194373964 | -0.26651194373964 |
| 17 | 2 | 2.74539370010986 | -0.745393700109863 |
| 18 | 1 | 1.61008179264361 | -0.610081792643613 |
| 19 | -1 | -0.392737784646734 | -0.607262215353266 |
| 20 | -2 | -0.768887135355842 | -1.23111286464416 |
| 21 | -2 | -1.73196400726557 | -0.268035992734427 |
| 22 | -1 | 1.82793076504975 | -2.82793076504975 |
| 23 | -8 | -1.5024983957644 | -6.4975016042356 |
| 24 | -4 | -15.1796784019983 | 11.1796784019983 |
| 25 | -6 | -0.182789466243487 | -5.81721053375651 |
| 26 | -3 | -2.33275771023544 | -0.667242289764563 |
| 27 | -3 | -4.74952975855125 | 1.74952975855125 |
| 28 | -7 | -0.357678912625815 | -6.64232108737419 |
| 29 | -9 | -4.2739074614952 | -4.7260925385048 |
| 30 | -11 | -8.06603377218554 | -2.93396622781446 |
| 31 | -13 | -11.6392637129066 | -1.36073628709338 |
| 32 | -11 | -12.6600207712593 | 1.66002077125926 |
| 33 | -9 | -11.4831956288785 | 2.48319562887853 |
| 34 | -17 | -6.6111218279153 | -10.3888781720847 |
| 35 | -22 | -15.8028414737891 | -6.19715852621092 |
| 36 | -25 | -25.5999744385381 | 0.599974438538055 |
| 37 | -20 | -21.2786062732664 | 1.27860627326635 |
| 38 | -24 | -17.5892046954795 | -6.41079530452054 |
| 39 | -24 | -23.3785253318144 | -0.621474668185574 |
| 40 | -22 | -22.344472654826 | 0.344472654826045 |
| 41 | -19 | -21.1694155307427 | 2.1694155307427 |
| 42 | -18 | -19.9549827842106 | 1.95498278421062 |
| 43 | -17 | -19.9157193868777 | 2.91571938687772 |
| 44 | -11 | -17.4327035025269 | 6.43270350252687 |
| 45 | -11 | -12.8746396407322 | 1.87463964073215 |
| 46 | -12 | -11.0984183870019 | -0.901581612998061 |
| 47 | -10 | -13.0306212042137 | 3.03062120421375 |
| 48 | -15 | -15.1961394275748 | 0.196139427574831 |
| 49 | -15 | -11.0004244164532 | -3.99957558354681 |
| 50 | -15 | -12.4635871083448 | -2.53641289165524 |
| 51 | -13 | -14.4345160209854 | 1.43451602098541 |
| 52 | -8 | -11.8107002897679 | 3.81070028976789 |
| 53 | -13 | -7.9164921345838 | -5.0835078654162 |
| 54 | -9 | -11.6239822769012 | 2.6239822769012 |
| 55 | -7 | -10.9305399190067 | 3.93053991900674 |
| 56 | -4 | -7.02722805176899 | 3.02722805176899 |
| 57 | -4 | -5.70844659994271 | 1.70844659994271 |
| 58 | -2 | -4.620248571732 | 2.620248571732 |
| 59 | 0 | -3.3585804690462 | 3.3585804690462 |
| 60 | -2 | -5.8903065096042 | 3.8903065096042 |
| 61 | -3 | -0.0780794910445088 | -2.92192050895549 |
| 62 | 1 | -0.505037440071479 | 1.50503744007148 |
| 63 | -2 | 1.07906039549226 | -3.07906039549226 |
| 64 | -1 | 1.16684631602017 | -2.16684631602017 |
| 65 | 1 | -0.812443056523279 | 1.81244305652328 |
| 66 | -3 | 1.73374116228469 | -4.73374116228469 |
| 67 | -4 | -2.24817105544584 | -1.75182894455416 |
| 68 | -9 | -2.35576407044059 | -6.64423592955941 |
| 69 | -9 | -7.82247273576299 | -1.17752726423701 |
| 70 | -7 | -8.48964403138129 | 1.48964403138129 |
| 71 | -14 | -7.83872020004599 | -6.16127979995401 |
| 72 | -12 | -16.6731146863859 | 4.67311468638589 |
| 73 | -16 | -11.7617705703687 | -4.23822942963125 |
| 74 | -20 | -12.1590450487251 | -7.84095495127493 |
| 75 | -12 | -17.8310623617248 | 5.83106236172479 |
| 76 | -12 | -11.5650983745286 | -0.43490162547141 |
| 77 | -10 | -11.5563421743738 | 1.55634217437383 |
| 78 | -10 | -10.5547697603331 | 0.554769760333111 |
| 79 | -13 | -10.3614492461854 | -2.63855075381461 |
| 80 | -16 | -12.0915187359623 | -3.90848126403771 |
| 81 | -14 | -14.5819698337067 | 0.581969833706687 |
| 82 | -17 | -13.5129259044651 | -3.4870740955349 |
| 83 | -24 | -17.8120966933916 | -6.18790330660837 |
| 84 | -25 | -24.4110323931857 | -0.588967606814276 |
| 85 | -23 | -24.9066102025974 | 1.90661020259737 |
| 86 | -17 | -21.925631706859 | 4.92563170685898 |
| 87 | -24 | -16.1566016808587 | -7.84339831914125 |
| 88 | -20 | -20.4048287918198 | 0.404828791819835 |
| 89 | -19 | -19.4212959108919 | 0.421295910891939 |
| 90 | -18 | -19.3982958116531 | 1.39829581165311 |
| 91 | -16 | -19.3088378247089 | 3.3088378247089 |
| 92 | -12 | -17.3049989507875 | 5.30499895078745 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 93 | -12.6591298881084 | -20.1979042478038 | -5.12035552841304 |
| 94 | -12.8303436325297 | -21.9186239455532 | -3.74206331950624 |
| 95 | -15.34503461024 | -25.7560475241959 | -4.93402169628412 |
| 96 | -16.6090739077772 | -28.193985961188 | -5.02416185436642 |
| 97 | -16.1842719729353 | -28.8357480575538 | -3.5327958883168 |
| 98 | -13.8537979956961 | -27.4897132674061 | -0.21788272398612 |
| 99 | -14.0607903999903 | -28.6156939626205 | 0.494113162639907 |
| 100 | -11.3070803207642 | -26.7272281890492 | 4.11306754752067 |
| 101 | -10.5886282169451 | -26.8288692522142 | 5.65161281832403 |
| 102 | -10.6416573775057 | -27.6633682030523 | 6.3800534480408 |
| 103 | -11.0915305494995 | -28.8611846770818 | 6.67812357808291 |
| 104 | -10.8960454348288 | -29.3841862266779 | 7.5920953570202 |
