| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.380859354912001 |
| beta | 0.0316088853012633 |
| gamma | 0.733581043315084 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 80 | 65.9535256410257 | 14.0464743589743 |
| 14 | 42 | 32.4467148172601 | 9.55328518273991 |
| 15 | 54 | 47.1353051316095 | 6.86469486839045 |
| 16 | 66 | 60.59089490801 | 5.40910509199001 |
| 17 | 81 | 79.7238940940246 | 1.2761059059754 |
| 18 | 63 | 69.4231643277681 | -6.42316432776809 |
| 19 | 137 | 111.487769948458 | 25.5122300515419 |
| 20 | 72 | 80.1890659314056 | -8.18906593140558 |
| 21 | 107 | 86.456323671552 | 20.5436763284479 |
| 22 | 58 | 68.1223642893241 | -10.1223642893241 |
| 23 | 36 | 97.153764642369 | -61.1537646423691 |
| 24 | 52 | 157.471510088699 | -105.471510088699 |
| 25 | 79 | 65.8538039157931 | 13.1461960842069 |
| 26 | 77 | 28.6504949782487 | 48.3495050217513 |
| 27 | 54 | 56.0480501431291 | -2.04805014312910 |
| 28 | 84 | 64.4949190767423 | 19.5050809232577 |
| 29 | 48 | 86.3359268092791 | -38.3359268092791 |
| 30 | 96 | 56.1913729959129 | 39.8086270040871 |
| 31 | 83 | 129.664803267216 | -46.6648032672161 |
| 32 | 66 | 53.997391331058 | 12.002608668942 |
| 33 | 61 | 79.6754118037384 | -18.6754118037384 |
| 34 | 53 | 30.6746061226849 | 22.3253938773151 |
| 35 | 30 | 47.4750331630982 | -17.4750331630982 |
| 36 | 74 | 103.414328539587 | -29.4143285395875 |
| 37 | 69 | 94.6690520639822 | -25.6690520639822 |
| 38 | 59 | 58.2346826816736 | 0.765317318326439 |
| 39 | 42 | 43.609557805132 | -1.60955780513198 |
| 40 | 65 | 61.008183141234 | 3.99181685876599 |
| 41 | 70 | 49.4788033499318 | 20.5211966500682 |
| 42 | 100 | 76.7603341378123 | 23.2396658621877 |
| 43 | 63 | 103.965837074180 | -40.9658370741803 |
| 44 | 105 | 56.501549428842 | 48.498450571158 |
| 45 | 82 | 81.9715413639356 | 0.0284586360644283 |
| 46 | 81 | 58.7674302672568 | 22.2325697327432 |
| 47 | 75 | 57.5054384585491 | 17.4945615414509 |
| 48 | 102 | 121.811391006691 | -19.8113910066906 |
| 49 | 121 | 119.011021546431 | 1.98897845356879 |
| 50 | 98 | 106.036128029648 | -8.03612802964805 |
| 51 | 76 | 87.7937238475118 | -11.7937238475118 |
| 52 | 77 | 104.548576897235 | -27.5485768972347 |
| 53 | 63 | 88.8253943324124 | -25.8253943324124 |
| 54 | 37 | 99.4433230770057 | -62.4433230770057 |
| 55 | 35 | 63.5759025308631 | -28.5759025308631 |
| 56 | 23 | 60.3350961492543 | -37.3350961492543 |
| 57 | 40 | 28.9375786540513 | 11.0624213459487 |
| 58 | 29 | 17.9911476535515 | 11.0088523464485 |
| 59 | 37 | 8.13783623183913 | 28.8621637681609 |
| 60 | 51 | 57.8014044626805 | -6.8014044626805 |
| 61 | 20 | 67.986280314369 | -47.9862803143689 |
| 62 | 28 | 28.951675237226 | -0.95167523722598 |
| 63 | 13 | 9.31321056571396 | 3.68678943428604 |
| 64 | 22 | 22.6070517338644 | -0.607051733864424 |
| 65 | 25 | 16.0505737046165 | 8.94942629538355 |
| 66 | 13 | 21.8230856739742 | -8.82308567397422 |
| 67 | 16 | 20.9469405271599 | -4.94694052715987 |
| 68 | 13 | 22.1988348562020 | -9.19883485620204 |
| 69 | 16 | 23.3093821664651 | -7.30938216646515 |
| 70 | 17 | 4.93082348472385 | 12.0691765152762 |
| 71 | 9 | 3.19217990983756 | 5.80782009016244 |
| 72 | 17 | 27.201755489461 | -10.2017554894610 |
| 73 | 25 | 16.6693885647928 | 8.33061143520722 |
| 74 | 14 | 20.4077763690616 | -6.40777636906155 |
| 75 | 8 | 0.693902625604984 | 7.30609737439502 |
| 76 | 7 | 13.3553977851489 | -6.3553977851489 |
| 77 | 10 | 8.82028766465713 | 1.17971233534287 |
| 78 | 7 | 3.33822505002645 | 3.66177494997355 |
| 79 | 10 | 8.90454913922412 | 1.09545086077588 |
| 80 | 3 | 10.5263066432461 | -7.5263066432461 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 81 | 13.1518860780379 | -37.4465989188957 | 63.7503710749715 |
| 82 | 6.46657662737189 | -47.8972220237203 | 60.8303752784641 |
| 83 | -2.75000728509995 | -60.8467257368824 | 55.3467111666825 |
| 84 | 11.6688643515566 | -50.1402534266421 | 73.4779821297553 |
| 85 | 13.4546037022310 | -52.0555460762878 | 78.9647534807497 |
| 86 | 7.24134529398266 | -61.965654558537 | 76.4483451465023 |
| 87 | -3.81105338954830 | -76.7164471374329 | 69.0943403583363 |
| 88 | -0.232709452860554 | -76.8426607262627 | 76.3772418205416 |
| 89 | 1.05592991450302 | -79.2685090912587 | 81.3803689202648 |
| 90 | -3.78144524582828 | -87.8334001501179 | 80.2705096584614 |
| 91 | -0.852758842772003 | -88.647824662595 | 86.942306977051 |
| 92 | -3.6547344525488 | -95.2106461244885 | 87.9011772193909 |
