| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0943679107239916 |
| gamma | 0.561964915342722 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 120.96 | 121.369898504274 | -0.409898504273542 |
| 14 | 120.9 | 120.865566986291 | 0.0344330137089486 |
| 15 | 120.86 | 120.827149691188 | 0.0328503088119732 |
| 16 | 120.73 | 120.696083039531 | 0.0339169604693836 |
| 17 | 120.53 | 120.492617045562 | 0.0373829544384705 |
| 18 | 120.53 | 120.493228130202 | 0.0367718697980735 |
| 19 | 120.53 | 120.583364881395 | -0.0533648813948702 |
| 20 | 120.52 | 120.475828949032 | 0.0441710509684299 |
| 21 | 120.51 | 120.451663945493 | 0.0583360545073788 |
| 22 | 120.43 | 120.33800233041 | 0.0919976695903131 |
| 23 | 120.29 | 120.192100624947 | 0.0978993750529327 |
| 24 | 120.27 | 120.295922517765 | -0.0259225177653661 |
| 25 | 120.27 | 120.273059597256 | -0.00305959725645266 |
| 26 | 120.24 | 120.211937536122 | 0.0280624638776175 |
| 27 | 120.21 | 120.202919065542 | 0.00708093445842906 |
| 28 | 120.06 | 120.079420611866 | -0.0194206118657547 |
| 29 | 119.86 | 119.850921262632 | 0.00907873736767328 |
| 30 | 119.85 | 119.848861337443 | 0.00113866255692585 |
| 31 | 119.85 | 119.925635457316 | -0.075635457316281 |
| 32 | 119.83 | 119.815997897233 | 0.014002102767364 |
| 33 | 119.71 | 119.778985913083 | -0.0689859130832389 |
| 34 | 119.57 | 119.543309189929 | 0.0266908100705052 |
| 35 | 119.2 | 119.331244612578 | -0.131244612578044 |
| 36 | 119.13 | 119.183442666029 | -0.0534426660286442 |
| 37 | 119.13 | 119.107982726625 | 0.0220172733746864 |
| 38 | 119.09 | 119.04922711738 | 0.0407728826198195 |
| 39 | 118.9 | 119.031408102461 | -0.131408102460512 |
| 40 | 118.54 | 118.734840727712 | -0.194840727712489 |
| 41 | 118.12 | 118.279787348648 | -0.159787348647626 |
| 42 | 118.11 | 118.041791883729 | 0.0682081162710233 |
| 43 | 118.1 | 118.124895207823 | -0.0248952078225813 |
| 44 | 118.08 | 118.010045899073 | 0.0699541009267364 |
| 45 | 117.91 | 117.978313988091 | -0.0683139880910062 |
| 46 | 117.63 | 117.692700673095 | -0.0627006730949518 |
| 47 | 117.28 | 117.332200408241 | -0.0522004082406511 |
| 48 | 117.2 | 117.211857698109 | -0.0118576981094094 |
| 49 | 117.17 | 117.130322045246 | 0.0396779547538557 |
| 50 | 117.14 | 117.043233037605 | 0.0967669623952645 |
| 51 | 116.96 | 117.040698067006 | -0.080698067006395 |
| 52 | 116.34 | 116.758916092357 | -0.418916092356895 |
| 53 | 115.99 | 116.022717189286 | -0.0327171892858331 |
| 54 | 115.99 | 115.866713069822 | 0.12328693017848 |
| 55 | 115.97 | 115.965014066509 | 0.00498593349128384 |
| 56 | 115.92 | 115.842984578635 | 0.0770154213647487 |
| 57 | 115.63 | 115.78191902971 | -0.151919029709674 |
| 58 | 115.31 | 115.36841608161 | -0.0584160816100621 |
| 59 | 115.13 | 114.968320144703 | 0.161679855297479 |
| 60 | 115.09 | 115.038160868186 | 0.0518391318135514 |
| 61 | 115.07 | 115.002636152083 | 0.0673638479172212 |
| 62 | 115.01 | 114.928159804336 | 0.0818401956643129 |
| 63 | 114.64 | 114.894216225947 | -0.25421622594709 |
| 64 | 113.86 | 114.406059705166 | -0.546059705165703 |
| 65 | 113.34 | 113.497862524992 | -0.157862524991955 |
| 66 | 113.33 | 113.16004870166 | 0.169951298339782 |
| 67 | 113.32 | 113.252753317276 | 0.0672466827239475 |
| 68 | 113.26 | 113.146599246228 | 0.113400753772225 |
| 69 | 113.2 | 113.078967305102 | 0.121032694897508 |
| 70 | 112.61 | 112.921222240983 | -0.311222240982588 |
| 71 | 112.28 | 112.227269514997 | 0.0527304850031243 |
| 72 | 112.16 | 112.136828914031 | 0.0231710859685421 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 112.018598854337 | 111.747497781139 | 112.289699927535 |
| 74 | 111.81636437534 | 111.414472132695 | 112.218256617985 |
| 75 | 111.632463229677 | 111.117318829575 | 112.147607629779 |
| 76 | 111.354395417347 | 110.732805575737 | 111.975985258958 |
| 77 | 110.999660938351 | 110.274521700729 | 111.724800175973 |
| 78 | 110.842009792688 | 110.014337329861 | 111.669682255514 |
| 79 | 110.771025313691 | 109.840795604924 | 111.701255022458 |
| 80 | 110.597540834695 | 109.564103495269 | 111.63097817412 |
| 81 | 110.405723022365 | 109.268029311126 | 111.543416733603 |
| 82 | 110.104738543368 | 108.861477085018 | 111.348000001718 |
| 83 | 109.729170731038 | 108.378853005934 | 111.079488456143 |
| 84 | 109.588186252042 | 108.129202804617 | 111.047169699466 |
