| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.380859354911874 |
| beta | 0.0316088853012827 |
| gamma | 0.733581043314648 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 80 | 65.9535256410257 | 14.0464743589743 |
| 14 | 42 | 32.4467148172583 | 9.55328518274166 |
| 15 | 54 | 47.1353051316074 | 6.86469486839265 |
| 16 | 66 | 60.5908949080079 | 5.40910509199209 |
| 17 | 81 | 79.7238940940228 | 1.2761059059772 |
| 18 | 63 | 69.423164327767 | -6.42316432776701 |
| 19 | 137 | 111.487769948458 | 25.5122300515415 |
| 20 | 72 | 80.1890659314029 | -8.18906593140285 |
| 21 | 107 | 86.4563236715517 | 20.5436763284483 |
| 22 | 58 | 68.1223642893217 | -10.1223642893217 |
| 23 | 36 | 97.1537646423692 | -61.1537646423692 |
| 24 | 52 | 157.471510088707 | -105.471510088707 |
| 25 | 79 | 65.8538039158086 | 13.1461960841914 |
| 26 | 77 | 28.6504949782578 | 48.3495050217422 |
| 27 | 54 | 56.0480501431289 | -2.04805014312889 |
| 28 | 84 | 64.4949190767423 | 19.5050809232577 |
| 29 | 48 | 86.3359268092769 | -38.3359268092769 |
| 30 | 96 | 56.1913729959169 | 39.8086270040831 |
| 31 | 83 | 129.664803267207 | -46.664803267207 |
| 32 | 66 | 53.9973913310652 | 12.0026086689348 |
| 33 | 61 | 79.6754118037347 | -18.6754118037347 |
| 34 | 53 | 30.6746061226909 | 22.3253938773091 |
| 35 | 30 | 47.4750331631066 | -17.4750331631066 |
| 36 | 74 | 103.414328539599 | -29.4143285395985 |
| 37 | 69 | 94.6690520639649 | -25.6690520639649 |
| 38 | 59 | 58.2346826816637 | 0.765317318336336 |
| 39 | 42 | 43.609557805139 | -1.609557805139 |
| 40 | 65 | 61.0081831412342 | 3.99181685876582 |
| 41 | 70 | 49.4788033499425 | 20.5211966500575 |
| 42 | 100 | 76.7603341378 | 23.2396658622 |
| 43 | 63 | 103.965837074184 | -40.9658370741843 |
| 44 | 105 | 56.5015494288385 | 48.4984505711615 |
| 45 | 82 | 81.971541363931 | 0.0284586360690469 |
| 46 | 81 | 58.7674302672482 | 22.2325697327518 |
| 47 | 75 | 57.5054384585546 | 17.4945615414454 |
| 48 | 102 | 121.811391006697 | -19.8113910066967 |
| 49 | 121 | 119.011021546422 | 1.98897845357767 |
| 50 | 98 | 106.036128029632 | -8.03612802963222 |
| 51 | 76 | 87.7937238475094 | -11.7937238475094 |
| 52 | 77 | 104.548576897233 | -27.5485768972331 |
| 53 | 63 | 88.8253943324188 | -25.8253943324188 |
| 54 | 37 | 99.4433230770068 | -62.4433230770068 |
| 55 | 35 | 63.5759025308902 | -28.5759025308902 |
| 56 | 23 | 60.3350961492507 | -37.3350961492507 |
| 57 | 40 | 28.9375786540659 | 11.0624213459341 |
| 58 | 29 | 17.9911476535505 | 11.0088523464495 |
| 59 | 37 | 8.13783623184427 | 28.8621637681557 |
| 60 | 51 | 57.8014044626904 | -6.80140446269039 |
| 61 | 20 | 67.9862803143628 | -47.9862803143628 |
| 62 | 28 | 28.951675237222 | -0.951675237222009 |
| 63 | 13 | 9.3132105657114 | 3.6867894342886 |
| 64 | 22 | 22.607051733862 | -0.607051733861987 |
| 65 | 25 | 16.0505737046139 | 8.94942629538611 |
| 66 | 13 | 21.8230856739735 | -8.82308567397347 |
| 67 | 16 | 20.9469405271605 | -4.94694052716054 |
| 68 | 13 | 22.1988348561943 | -9.19883485619434 |
| 69 | 16 | 23.3093821664567 | -7.30938216645674 |
| 70 | 17 | 4.93082348471814 | 12.0691765152819 |
| 71 | 9 | 3.19217990983388 | 5.80782009016612 |
| 72 | 17 | 27.2017554894727 | -10.2017554894727 |
| 73 | 25 | 16.669388564803 | 8.33061143519702 |
| 74 | 14 | 20.4077763690514 | -6.4077763690514 |
| 75 | 8 | 0.693902625598049 | 7.30609737440195 |
| 76 | 7 | 13.3553977851443 | -6.3553977851443 |
| 77 | 10 | 8.82028766465261 | 1.17971233534739 |
| 78 | 7 | 3.33822505002811 | 3.66177494997189 |
| 79 | 10 | 8.90454913922368 | 1.09545086077632 |
| 80 | 3 | 10.5263066432418 | -7.52630664324185 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 81 | 13.1518860780317 | -37.4465989189019 | 63.7503710749653 |
| 82 | 6.46657662735984 | -47.8972220237301 | 60.8303752784498 |
| 83 | -2.75000728511031 | -60.8467257368885 | 55.3467111666678 |
| 84 | 11.6688643515569 | -50.1402534266358 | 73.4779821297496 |
| 85 | 13.4546037022305 | -52.0555460762807 | 78.9647534807418 |
| 86 | 7.24134529397901 | -61.9656545585317 | 76.4483451464897 |
| 87 | -3.81105338955708 | -76.7164471374314 | 69.0943403583173 |
| 88 | -0.232709452867233 | -76.8426607262581 | 76.3772418205236 |
| 89 | 1.05592991449257 | -79.2685090912569 | 81.380368920242 |
| 90 | -3.78144524583734 | -87.8334001501138 | 80.2705096584391 |
| 91 | -0.852758842780615 | -88.6478246625896 | 86.9423069770283 |
| 92 | -3.65473445255796 | -95.210646124483 | 87.901177219367 |
