| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.870709591524665 |
| beta | 0.230775607021298 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 87.75 | 87.8920032051282 | -0.142003205128248 |
| 14 | 87.88 | 87.8509766688607 | 0.029023331139328 |
| 15 | 87.61 | 87.5551131504193 | 0.0548868495806971 |
| 16 | 88.05 | 88.0052981286748 | 0.0447018713252163 |
| 17 | 87.77 | 87.7155972771883 | 0.0544027228117159 |
| 18 | 87.79 | 87.7202746535329 | 0.0697253464671093 |
| 19 | 88.34 | 88.2143874275331 | 0.125612572466878 |
| 20 | 88.48 | 88.385318818151 | 0.0946811818490403 |
| 21 | 88.75 | 88.8683430482063 | -0.118343048206313 |
| 22 | 87.95 | 88.0937720259144 | -0.143772025914387 |
| 23 | 89.09 | 88.5698370753033 | 0.520162924696677 |
| 24 | 88.73 | 88.7531007634731 | -0.0231007634730815 |
| 25 | 89.24 | 88.7578380616718 | 0.482161938328147 |
| 26 | 89.77 | 89.5215357636559 | 0.24846423634412 |
| 27 | 89.84 | 89.703325155334 | 0.13667484466599 |
| 28 | 90.97 | 90.5230809695778 | 0.446919030422166 |
| 29 | 91.53 | 90.9653436741482 | 0.564656325851843 |
| 30 | 92.2 | 91.8993094269754 | 0.300690573024625 |
| 31 | 92.27 | 93.1311859374105 | -0.861185937410511 |
| 32 | 92.42 | 92.7700518380881 | -0.35005183808812 |
| 33 | 92.07 | 93.0800853406571 | -1.01008534065707 |
| 34 | 91.73 | 91.5883772071871 | 0.141622792812868 |
| 35 | 92.1 | 92.5187246791566 | -0.418724679156583 |
| 36 | 91.68 | 91.7455384375117 | -0.0655384375116483 |
| 37 | 92.63 | 91.7014103993336 | 0.928589600666356 |
| 38 | 93.02 | 92.8360665300765 | 0.183933469923517 |
| 39 | 92.66 | 92.9467128033225 | -0.286712803322544 |
| 40 | 93.23 | 93.3523553704631 | -0.12235537046314 |
| 41 | 93.79 | 93.1142013745665 | 0.675798625433544 |
| 42 | 93.92 | 93.933178002033 | -0.0131780020329586 |
| 43 | 94.04 | 94.5008448019261 | -0.460844801926086 |
| 44 | 94.23 | 94.3941184235835 | -0.164118423583503 |
| 45 | 94.37 | 94.657813238166 | -0.287813238166024 |
| 46 | 94.29 | 93.9661347706221 | 0.323865229377873 |
| 47 | 94.38 | 95.0415700582595 | -0.661570058259528 |
| 48 | 94 | 94.1126577463367 | -0.11265774633668 |
| 49 | 94.11 | 94.1566237464028 | -0.046623746402787 |
| 50 | 93.98 | 94.1505074781958 | -0.170507478195816 |
| 51 | 93.42 | 93.6250998361233 | -0.205099836123296 |
| 52 | 93.3 | 93.8728638930079 | -0.572863893007934 |
| 53 | 93.32 | 93.0049273960936 | 0.315072603906344 |
| 54 | 93.75 | 93.0075405234487 | 0.742459476551275 |
| 55 | 93.82 | 93.9139079641592 | -0.0939079641592286 |
| 56 | 94.06 | 93.9774114989664 | 0.0825885010336123 |
| 57 | 94.09 | 94.3018673882554 | -0.211867388255371 |
| 58 | 93.64 | 93.6326038496241 | 0.00739615037589658 |
| 59 | 93.9 | 94.1186923009669 | -0.21869230096685 |
| 60 | 93.18 | 93.5489713618187 | -0.36897136181868 |
| 61 | 93.54 | 93.229401283599 | 0.310598716401003 |
| 62 | 93.55 | 93.441185902279 | 0.108814097720952 |
| 63 | 93.8 | 93.1335210840186 | 0.666478915981415 |
| 64 | 93.39 | 94.2467698207905 | -0.85676982079049 |
| 65 | 93.27 | 93.3435288065781 | -0.0735288065780679 |
| 66 | 93.58 | 93.0820484086758 | 0.49795159132421 |
| 67 | 93.47 | 93.637263571124 | -0.167263571123968 |
| 68 | 93.75 | 93.6148523779247 | 0.135147622075266 |
| 69 | 93.3 | 93.9127002310713 | -0.612700231071273 |
| 70 | 92.65 | 92.8079321552998 | -0.157932155299804 |
| 71 | 92.96 | 92.9727715606812 | -0.012771560681216 |
| 72 | 92.84 | 92.4562305195784 | 0.383769480421591 |
| 73 | 93.29 | 92.9245080228936 | 0.365491977106416 |
| 74 | 93.57 | 93.2135971030313 | 0.35640289696866 |
| 75 | 93.54 | 93.298958258285 | 0.241041741715009 |
| 76 | 94.38 | 93.8646939122262 | 0.51530608777378 |
| 77 | 93.98 | 94.5529616216655 | -0.572961621665513 |
| 78 | 94.48 | 94.125715436571 | 0.354284563428962 |
| 79 | 94.63 | 94.6361723788697 | -0.00617237886966393 |
| 80 | 95.45 | 94.9918331057704 | 0.458166894229578 |
| 81 | 95.59 | 95.7378638093856 | -0.147863809385584 |
| 82 | 94.76 | 95.4536503904778 | -0.693650390477785 |
| 83 | 95.66 | 95.4201762013476 | 0.239823798652409 |
| 84 | 95.03 | 95.4749709955443 | -0.444970995544296 |
| 85 | 96.45 | 95.3528968949126 | 1.09710310508737 |
| 86 | 97.15 | 96.5584443216943 | 0.591555678305724 |
| 87 | 97.5 | 97.1615040746462 | 0.338495925353755 |
| 88 | 98.54 | 98.194999977591 | 0.345000022409039 |
| 89 | 99.54 | 98.9075031417865 | 0.632496858213514 |
| 90 | 100.33 | 100.205193471759 | 0.124806528240796 |
| 91 | 100.28 | 100.978575298795 | -0.698575298795404 |
| 92 | 101.81 | 101.161595584705 | 0.648404415294578 |
| 93 | 101.91 | 102.403346822353 | -0.493346822353061 |
| 94 | 101.92 | 102.086765067 | -0.166765066999744 |
| 95 | 102.68 | 103.077627813295 | -0.39762781329469 |
| 96 | 101.9 | 102.805644954864 | -0.905644954863945 |
| 97 | 102.14 | 102.706060838069 | -0.566060838069347 |
| 98 | 102.3 | 102.288147136957 | 0.011852863043373 |
| 99 | 102.06 | 102.127285358443 | -0.0672853584425184 |
| 100 | 102.4 | 102.500316895231 | -0.100316895231174 |
| 101 | 102.99 | 102.464779974818 | 0.525220025181895 |
| 102 | 102.99 | 103.184398841075 | -0.194398841075369 |
| 103 | 102.83 | 103.090224453405 | -0.260224453405471 |
| 104 | 103.01 | 103.433988493544 | -0.423988493544201 |
| 105 | 102.6 | 102.983810307407 | -0.383810307406947 |
| 106 | 102.18 | 102.216267893296 | -0.03626789329644 |
| 107 | 102.6 | 102.728570310982 | -0.128570310981729 |
| 108 | 101.44 | 102.116903546308 | -0.676903546308083 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 109 | 101.798081590082 | 100.968785109611 | 102.627378070552 |
| 110 | 101.599194476783 | 100.383651281127 | 102.814737672438 |
| 111 | 101.066832075058 | 99.4570767079846 | 102.676587442132 |
| 112 | 101.156750770559 | 99.1357188339181 | 103.1777827072 |
| 113 | 100.972165999519 | 98.520053707178 | 103.424278291859 |
| 114 | 100.718623335408 | 97.8148839617305 | 103.622362709086 |
| 115 | 100.40145788156 | 97.0255655181455 | 103.777350244975 |
| 116 | 100.619172468523 | 96.7509388168355 | 104.48740612021 |
| 117 | 100.297099149993 | 95.9168040061995 | 104.677394293786 |
| 118 | 99.7395395987403 | 94.8279769828423 | 104.651102214638 |
| 119 | 100.109636265217 | 94.6481206215571 | 105.571151908876 |
| 120 | 99.4030066689154 | 93.3733599854571 | 105.432653352374 |
