| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.626376683046909 |
| beta | 0.00619511319476243 |
| gamma | 0.452854411402937 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 370.47 | 369.504249465812 | 0.965750534187976 |
| 14 | 371.44 | 371.090885395934 | 0.349114604065846 |
| 15 | 372.39 | 372.296379687801 | 0.0936203121985955 |
| 16 | 373.32 | 373.320951603821 | -0.000951603821249591 |
| 17 | 373.77 | 373.801282184101 | -0.0312821841009168 |
| 18 | 373.13 | 373.170409673061 | -0.0404096730605374 |
| 19 | 371.51 | 371.404913107057 | 0.105086892943007 |
| 20 | 369.59 | 369.962209984465 | -0.372209984465144 |
| 21 | 368.12 | 368.393678208971 | -0.27367820897075 |
| 22 | 368.38 | 368.283719105553 | 0.096280894446636 |
| 23 | 369.64 | 369.647534040415 | -0.00753404041540762 |
| 24 | 371.11 | 370.969209151743 | 0.140790848256756 |
| 25 | 372.38 | 372.07398991168 | 0.30601008832042 |
| 26 | 373.08 | 373.144462624679 | -0.0644626246785265 |
| 27 | 373.87 | 374.047483792935 | -0.177483792934538 |
| 28 | 374.93 | 374.884999993342 | 0.0450000066584835 |
| 29 | 375.58 | 375.387918918727 | 0.192081081272875 |
| 30 | 375.44 | 374.895215530913 | 0.544784469087233 |
| 31 | 373.91 | 373.522963264641 | 0.387036735358777 |
| 32 | 371.77 | 372.179278620453 | -0.409278620452824 |
| 33 | 370.72 | 370.607224204881 | 0.112775795119148 |
| 34 | 370.5 | 370.806451473486 | -0.306451473486391 |
| 35 | 372.19 | 371.903400915237 | 0.286599084763054 |
| 36 | 373.71 | 373.438513499111 | 0.271486500889466 |
| 37 | 374.92 | 374.657723943815 | 0.262276056185328 |
| 38 | 375.63 | 375.64256049156 | -0.0125604915599524 |
| 39 | 376.51 | 376.563611184028 | -0.0536111840283411 |
| 40 | 377.75 | 377.521484644112 | 0.228515355887623 |
| 41 | 378.54 | 378.17007386526 | 0.36992613474041 |
| 42 | 378.21 | 377.854969827142 | 0.35503017285788 |
| 43 | 376.65 | 376.342958130803 | 0.307041869197292 |
| 44 | 374.28 | 374.819910681188 | -0.539910681187848 |
| 45 | 373.12 | 373.259332754918 | -0.139332754917746 |
| 46 | 373.1 | 373.233706165276 | -0.133706165275953 |
| 47 | 374.67 | 374.543864971397 | 0.126135028602619 |
| 48 | 375.97 | 375.979950307294 | -0.00995030729438895 |
| 49 | 377.03 | 377.024265508574 | 0.00573449142598292 |
| 50 | 377.87 | 377.80386197884 | 0.0661380211602136 |
| 51 | 378.88 | 378.76952040686 | 0.110479593140155 |
| 52 | 380.42 | 379.880806683543 | 0.539193316457443 |
| 53 | 380.62 | 380.752024412873 | -0.132024412872909 |
| 54 | 379.66 | 380.122142900658 | -0.462142900657568 |
| 55 | 377.48 | 378.089135546919 | -0.609135546918537 |
| 56 | 376.07 | 375.844340897605 | 0.2256591023949 |
| 57 | 374.1 | 374.829472151541 | -0.729472151540961 |
| 58 | 374.47 | 374.431255533396 | 0.0387444666041574 |
| 59 | 376.15 | 375.890174453941 | 0.25982554605946 |
| 60 | 377.51 | 377.384270686886 | 0.125729313114164 |
| 61 | 378.43 | 378.514048260725 | -0.0840482607254103 |
| 62 | 379.7 | 379.245100604468 | 0.454899395532436 |
| 63 | 380.91 | 380.460754732669 | 0.449245267331435 |
| 64 | 382.2 | 381.857069742546 | 0.342930257453759 |
| 65 | 382.45 | 382.491320022042 | -0.0413200220416456 |
| 66 | 382.14 | 381.862285712646 | 0.277714287354286 |
| 67 | 380.6 | 380.27059507155 | 0.329404928450288 |
| 68 | 378.6 | 378.76132512866 | -0.161325128659939 |
| 69 | 376.72 | 377.347351603195 | -0.627351603195336 |
| 70 | 376.98 | 377.148375544746 | -0.168375544745629 |
| 71 | 378.29 | 378.519456551187 | -0.2294565511869 |
| 72 | 380.07 | 379.686981547797 | 0.383018452202521 |
| 73 | 381.36 | 380.946016050548 | 0.413983949451961 |
| 74 | 382.19 | 382.085735809068 | 0.104264190932383 |
| 75 | 382.65 | 383.084966270505 | -0.434966270505242 |
| 76 | 384.65 | 383.910175163666 | 0.739824836334265 |
| 77 | 384.94 | 384.730288661018 | 0.209711338982117 |
| 78 | 384.01 | 384.315719991262 | -0.305719991261526 |
| 79 | 382.15 | 382.368307430618 | -0.21830743061804 |
| 80 | 380.33 | 380.431789624712 | -0.101789624712239 |
| 81 | 378.81 | 378.97534493571 | -0.165344935709868 |
| 82 | 379.06 | 379.144296694544 | -0.0842966945440935 |
| 83 | 380.17 | 380.558914533283 | -0.388914533283412 |
| 84 | 381.85 | 381.730775430511 | 0.119224569488551 |
| 85 | 382.88 | 382.829378968219 | 0.0506210317813043 |
| 86 | 383.77 | 383.68724710725 | 0.0827528927499088 |
| 87 | 384.42 | 384.579837843772 | -0.15983784377238 |
| 88 | 386.36 | 385.775290099016 | 0.584709900984478 |
| 89 | 386.53 | 386.407085940322 | 0.122914059677896 |
| 90 | 386.01 | 385.84913956483 | 0.160860435169639 |
| 91 | 384.45 | 384.208782101752 | 0.241217898247783 |
| 92 | 381.96 | 382.58160794033 | -0.621607940330364 |
| 93 | 380.81 | 380.788583905253 | 0.0214160947472237 |
| 94 | 381.09 | 381.088732349008 | 0.00126765099162185 |
| 95 | 382.37 | 382.506238127985 | -0.136238127984882 |
| 96 | 383.84 | 383.924158577121 | -0.0841585771211157 |
| 97 | 385.42 | 384.884784268562 | 0.535215731437575 |
| 98 | 385.72 | 386.054532423989 | -0.334532423988549 |
| 99 | 385.96 | 386.645985068378 | -0.685985068378272 |
| 100 | 387.18 | 387.637089807187 | -0.457089807187344 |
| 101 | 388.5 | 387.533393086379 | 0.966606913620694 |
| 102 | 387.88 | 387.508811521813 | 0.371188478186639 |
| 103 | 386.38 | 386.013085920231 | 0.366914079768549 |
| 104 | 384.15 | 384.318436202209 | -0.168436202208795 |
| 105 | 383.07 | 382.919603416615 | 0.150396583384577 |
| 106 | 382.98 | 383.299171003616 | -0.31917100361602 |
| 107 | 384.11 | 384.493490294373 | -0.383490294372677 |
| 108 | 385.54 | 385.765184372159 | -0.22518437215939 |
| 109 | 386.92 | 386.741558719953 | 0.178441280046968 |
| 110 | 387.41 | 387.538576145027 | -0.12857614502667 |
| 111 | 388.77 | 388.198272704095 | 0.571727295905305 |
| 112 | 389.46 | 390.019490471975 | -0.559490471974982 |
| 113 | 390.18 | 390.095723112831 | 0.0842768871689827 |
| 114 | 389.43 | 389.417489323196 | 0.0125106768043111 |
| 115 | 387.74 | 387.6947429786 | 0.0452570214001753 |
| 116 | 385.91 | 385.705156836882 | 0.204843163118312 |
| 117 | 384.77 | 384.592653285177 | 0.177346714823443 |
| 118 | 384.38 | 384.908327176547 | -0.528327176547407 |
| 119 | 385.99 | 385.958616445432 | 0.0313835545675829 |
| 120 | 387.26 | 387.516435774817 | -0.256435774817305 |
| 121 | 388.45 | 388.54087900295 | -0.0908790029499187 |
| 122 | 389.7 | 389.115560768783 | 0.584439231217004 |
| 123 | 391.08 | 390.341436294048 | 0.738563705951663 |
| 124 | 392.46 | 392.077478829307 | 0.382521170693053 |
| 125 | 392.96 | 392.858065481115 | 0.101934518885344 |
| 126 | 392.03 | 392.184194313127 | -0.154194313127107 |
| 127 | 390.13 | 390.367366455641 | -0.237366455641222 |
| 128 | 388.15 | 388.231454359395 | -0.0814543593947405 |
| 129 | 386.8 | 386.937558739661 | -0.137558739660733 |
| 130 | 387.18 | 386.937953672245 | 0.242046327755304 |
| 131 | 388.59 | 388.569846072006 | 0.0201539279941585 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 132 | 390.076247463491 | 389.422292321916 | 390.730202605065 |
| 133 | 391.294637073858 | 390.521634410538 | 392.067639737178 |
| 134 | 392.046167067417 | 391.168951479422 | 392.923382655411 |
| 135 | 392.935434919918 | 391.964048067243 | 393.906821772593 |
| 136 | 394.149145116659 | 393.090938290898 | 395.20735194242 |
| 137 | 394.641698715221 | 393.502335791113 | 395.781061639328 |
| 138 | 393.859290064893 | 392.64329505784 | 395.075285071946 |
| 139 | 392.124219947723 | 390.835304698946 | 393.4131351965 |
| 140 | 390.163536105134 | 388.804809960438 | 391.52226224983 |
| 141 | 388.911652574084 | 387.485763591789 | 390.33754155638 |
| 142 | 389.063456581308 | 387.572690550511 | 390.554222612105 |
| 143 | 390.506271490846 | 388.952623679429 | 392.059919302263 |
