| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.520658832476764 |
| beta | 0.0678765650221037 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 31 | 33.4532585470086 | -2.45325854700856 |
| 14 | 27 | 27.9437063932416 | -0.94370639324157 |
| 15 | 25 | 25.1867648143935 | -0.186764814393538 |
| 16 | 16 | 15.7339978528039 | 0.266002147196119 |
| 17 | 20 | 19.7763686665064 | 0.223631333493604 |
| 18 | 21 | 20.5545819923583 | 0.445418007641692 |
| 19 | 25 | 21.6306784855388 | 3.36932151446123 |
| 20 | 24 | 25.2648714500173 | -1.26487145001733 |
| 21 | 28 | 25.6081963514624 | 2.39180364853759 |
| 22 | 27 | 27.2732623898038 | -0.273262389803808 |
| 23 | 23 | 28.5827476842846 | -5.58274768428455 |
| 24 | 36 | 27.5971719516467 | 8.40282804835326 |
| 25 | 37 | 30.8059890247375 | 6.19401097526254 |
| 26 | 30 | 30.9832039372554 | -0.983203937255428 |
| 27 | 27 | 29.0280343300294 | -2.02803433002937 |
| 28 | 22 | 19.2280559865024 | 2.77194401349764 |
| 29 | 22 | 25.0378508230883 | -3.03785082308835 |
| 30 | 25 | 24.5919869542073 | 0.408013045792671 |
| 31 | 33 | 27.4165644467442 | 5.58343555325582 |
| 32 | 35 | 30.4268528484166 | 4.57314715158338 |
| 33 | 35 | 36.2135641724594 | -1.21356417245944 |
| 34 | 29 | 35.2475476858378 | -6.24754768583777 |
| 35 | 25 | 31.2138392076751 | -6.21383920767509 |
| 36 | 34 | 36.893664703057 | -2.89366470305702 |
| 37 | 31 | 33.0529844221021 | -2.05298442210209 |
| 38 | 29 | 25.0954388777109 | 3.90456112228908 |
| 39 | 21 | 24.9564784361844 | -3.95647843618443 |
| 40 | 19 | 16.1572949530758 | 2.84270504692423 |
| 41 | 18 | 18.9255881332679 | -0.92558813326794 |
| 42 | 25 | 21.0124152164847 | 3.98758478351532 |
| 43 | 23 | 28.0892037074704 | -5.08920370747038 |
| 44 | 22 | 24.5889209187551 | -2.58892091875512 |
| 45 | 20 | 23.1502235058480 | -3.15022350584795 |
| 46 | 15 | 17.9718243487926 | -2.97182434879256 |
| 47 | 17 | 14.984525480689 | 2.01547451931101 |
| 48 | 25 | 26.156057971405 | -1.15605797140502 |
| 49 | 26 | 23.3000043929839 | 2.69999560701610 |
| 50 | 26 | 20.5177633091297 | 5.48223669087033 |
| 51 | 23 | 17.3327961938800 | 5.66720380611997 |
| 52 | 24 | 17.0441849675908 | 6.95581503240918 |
| 53 | 24 | 20.5338551851002 | 3.46614481489981 |
| 54 | 42 | 27.803717090431 | 14.1962829095690 |
| 55 | 40 | 36.7470111008024 | 3.25298889919762 |
| 56 | 45 | 39.9856056445666 | 5.0143943554334 |
| 57 | 47 | 43.7022438614486 | 3.29775613855138 |
| 58 | 40 | 43.6600891697479 | -3.66008916974786 |
| 59 | 39 | 44.3742660117102 | -5.37426601171016 |
| 60 | 49 | 51.5860705744416 | -2.58607057444163 |
| 61 | 55 | 51.1913479564231 | 3.80865204357686 |
| 62 | 54 | 51.7166762658159 | 2.28332373418412 |
| 63 | 48 | 48.238472867004 | -0.238472867003964 |
| 64 | 44 | 46.567637215551 | -2.56763721555102 |
| 65 | 48 | 44.1644653155483 | 3.83553468445174 |
| 66 | 62 | 57.5214746833746 | 4.47852531662537 |
| 67 | 57 | 56.5675547520905 | 0.432445247909548 |
| 68 | 60 | 59.4902366714996 | 0.509763328500441 |
| 69 | 56 | 60.1877617203684 | -4.18776172036841 |
| 70 | 57 | 52.797600284895 | 4.20239971510503 |
| 71 | 54 | 56.946216368561 | -2.94621636856097 |
| 72 | 62 | 67.0069523359703 | -5.00695233597027 |
| 73 | 65 | 68.579723856218 | -3.57972385621802 |
| 74 | 68 | 64.428661004104 | 3.57133899589599 |
| 75 | 69 | 60.359377007644 | 8.64062299235602 |
| 76 | 67 | 62.4559524697236 | 4.54404753027639 |
| 77 | 72 | 67.3370724590954 | 4.66292754090462 |
| 78 | 82 | 81.9745501287923 | 0.0254498712076980 |
| 79 | 72 | 77.1467373538709 | -5.14673735387086 |
| 80 | 77 | 77.3885519880269 | -0.388551988026904 |
| 81 | 79 | 75.5218188247705 | 3.47818117522954 |
| 82 | 78 | 76.5708412871303 | 1.42915871286971 |
| 83 | 76 | 76.17700439504 | -0.177004395040044 |
| 84 | 79 | 87.1177103046551 | -8.11771030465512 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 88.0709825874344 | 79.9318722909175 | 96.2100928839512 |
| 86 | 89.654057753689 | 80.3414952710306 | 98.9666202363473 |
| 87 | 86.4715524088686 | 75.9887759251402 | 96.954328892597 |
| 88 | 82.116601038448 | 70.4587736691284 | 93.7744284077678 |
| 89 | 84.5391646783512 | 71.6963338922907 | 97.3819954644116 |
| 90 | 94.2114816823078 | 80.1703219083364 | 108.252641456279 |
| 91 | 86.5758442362093 | 71.3207464430091 | 101.830942029410 |
| 92 | 91.6447039946182 | 75.1584885600217 | 108.130919429215 |
| 93 | 91.7140466131396 | 73.9784464277361 | 109.449646798543 |
| 94 | 89.7273100976916 | 70.7233071895518 | 108.731313005831 |
| 95 | 87.5263293599821 | 67.2343947243924 | 107.818263995572 |
| 96 | 94.4660027198954 | 72.8662702628792 | 116.065735176912 |
