| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.208653452026953 |
| beta | 0.135928514801665 |
| gamma | 0.144824151716476 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 107.5 | 106.576308760684 | 0.923691239316184 |
| 14 | 113.3 | 112.844873595554 | 0.455126404446062 |
| 15 | 107.8 | 107.607745700872 | 0.192254299128066 |
| 16 | 104.5 | 104.354554674865 | 0.145445325135029 |
| 17 | 105.1 | 104.979055241780 | 0.120944758220134 |
| 18 | 104.2 | 103.914373910481 | 0.285626089518516 |
| 19 | 106.6 | 109.008821488077 | -2.40882148807660 |
| 20 | 103.8 | 107.172744393442 | -3.37274439344178 |
| 21 | 107.7 | 105.598217169639 | 2.10178283036056 |
| 22 | 106.4 | 105.088079616920 | 1.31192038307984 |
| 23 | 110 | 107.967009829966 | 2.03299017003442 |
| 24 | 113.2 | 107.995719983242 | 5.20428001675758 |
| 25 | 113.9 | 109.493761570337 | 4.40623842966316 |
| 26 | 112 | 116.732364194594 | -4.73236419459447 |
| 27 | 113.9 | 110.532687046408 | 3.36731295359249 |
| 28 | 113.1 | 108.176634554609 | 4.92336544539111 |
| 29 | 111.7 | 110.170784062969 | 1.52921593703110 |
| 30 | 110.7 | 109.834285509665 | 0.86571449033454 |
| 31 | 113.5 | 115.172891517895 | -1.67289151789539 |
| 32 | 114 | 113.832690817859 | 0.167309182141238 |
| 33 | 112.7 | 114.177418506156 | -1.47741850615607 |
| 34 | 112.2 | 113.281628386918 | -1.08162838691824 |
| 35 | 115.8 | 116.127572854054 | -0.327572854054125 |
| 36 | 118.4 | 116.344039818516 | 2.05596018148393 |
| 37 | 118.8 | 117.321267971373 | 1.47873202862695 |
| 38 | 123.9 | 123.046221735355 | 0.853778264645186 |
| 39 | 118 | 119.243343752074 | -1.24334375207384 |
| 40 | 120.2 | 116.275786594317 | 3.92421340568275 |
| 41 | 118.7 | 117.816323139809 | 0.883676860191187 |
| 42 | 119.8 | 117.394634343926 | 2.40536565607441 |
| 43 | 124.8 | 122.932766705450 | 1.86723329454969 |
| 44 | 121.3 | 122.811740874061 | -1.51174087406100 |
| 45 | 120.2 | 122.839629412424 | -2.63962941242441 |
| 46 | 118.3 | 121.935733616598 | -3.63573361659770 |
| 47 | 129.6 | 124.451768836218 | 5.14823116378203 |
| 48 | 130.2 | 126.355847387362 | 3.84415261263807 |
| 49 | 127.19 | 127.9626496001 | -0.772649600100024 |
| 50 | 133.1 | 133.404983124011 | -0.30498312401059 |
| 51 | 129.12 | 129.345879697500 | -0.225879697500488 |
| 52 | 123.28 | 127.437607809812 | -4.15760780981222 |
| 53 | 123.36 | 126.968918556119 | -3.60891855611925 |
| 54 | 124.13 | 125.682348349915 | -1.55234834991494 |
| 55 | 126.96 | 130.118887597700 | -3.15888759769963 |
| 56 | 127.14 | 128.205213479842 | -1.06521347984237 |
| 57 | 123.7 | 127.852993205802 | -4.15299320580236 |
| 58 | 123.67 | 126.132231869226 | -2.46223186922607 |
| 59 | 130.19 | 129.546163611634 | 0.643836388366424 |
| 60 | 134.01 | 129.879521311687 | 4.13047868831259 |
| 61 | 124.96 | 130.543665569088 | -5.58366556908798 |
| 62 | 129.96 | 134.42602440002 | -4.46602440002013 |
| 63 | 128.32 | 128.780018790534 | -0.460018790534349 |
| 64 | 132.38 | 125.637900043535 | 6.7420999564651 |
| 65 | 126.25 | 127.081099647821 | -0.83109964782112 |
| 66 | 128.91 | 126.263354868017 | 2.64664513198268 |
| 67 | 131.42 | 131.164529521225 | 0.255470478774669 |
| 68 | 129.44 | 130.072678784374 | -0.632678784374292 |
| 69 | 126.86 | 129.338555499994 | -2.47855549999376 |
| 70 | 126.71 | 128.090158747334 | -1.38015874733365 |
| 71 | 131.63 | 132.045748662242 | -0.415748662241555 |
| 72 | 132.78 | 132.487464365655 | 0.292535634345285 |
| 73 | 126.61 | 131.058510508721 | -4.44851050872084 |
| 74 | 132.84 | 135.159009132355 | -2.31900913235461 |
| 75 | 123.14 | 130.334189151014 | -7.19418915101356 |
| 76 | 128.13 | 126.335465801779 | 1.79453419822060 |
| 77 | 125.49 | 125.461177887789 | 0.0288221122108894 |
| 78 | 126.48 | 124.828592523827 | 1.65140747617325 |
| 79 | 130.86 | 128.827000368689 | 2.03299963131099 |
| 80 | 127.32 | 127.633600256416 | -0.313600256415839 |
| 81 | 126.56 | 126.392905128636 | 0.167094871364441 |
| 82 | 126.64 | 125.535851270326 | 1.10414872967354 |
| 83 | 129.26 | 129.904223453292 | -0.64422345329163 |
| 84 | 126.47 | 130.156856472641 | -3.68685647264132 |
| 85 | 135.38 | 127.018788281587 | 8.36121171841295 |
| 86 | 135.5 | 134.063994588630 | 1.43600541136965 |
| 87 | 132.22 | 129.598306660567 | 2.62169333943251 |
| 88 | 122.62 | 129.090621782214 | -6.47062178221364 |
| 89 | 125.16 | 126.467761450972 | -1.30776145097161 |
| 90 | 128.5 | 125.882685631961 | 2.61731436803927 |
| 91 | 133.86 | 130.294195227650 | 3.56580477234968 |
| 92 | 128.87 | 129.362988061814 | -0.49298806181406 |
| 93 | 125.07 | 128.346168357144 | -3.27616835714363 |
| 94 | 125.25 | 126.986614866068 | -1.73661486606794 |
| 95 | 132.16 | 130.589865253157 | 1.57013474684348 |
| 96 | 130.24 | 131.046618437654 | -0.806618437653555 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 130.062784015298 | 124.369193041398 | 135.756374989198 |
| 98 | 134.505063640771 | 128.653735231408 | 140.356392050133 |
| 99 | 129.770247209067 | 123.726985301821 | 135.813509116313 |
| 100 | 127.493757833897 | 121.223347830058 | 133.764167837736 |
| 101 | 126.816485376104 | 120.283394375182 | 133.349576377026 |
| 102 | 126.994981823671 | 120.163958754473 | 133.82600489287 |
| 103 | 130.935716094095 | 123.772268005701 | 138.099164182490 |
| 104 | 128.660829449433 | 121.131568694351 | 136.190090204515 |
| 105 | 127.307386475152 | 119.380258013804 | 135.234514936500 |
| 106 | 126.780260054706 | 118.424666996682 | 135.135853112730 |
| 107 | 131.146489594850 | 122.333338676713 | 139.959640512988 |
| 108 | 130.980361074005 | 121.682049433254 | 140.278672714757 |
