| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.693734207502508 |
| beta | 0.0445082090570031 |
| gamma | 0.0518931374312389 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 110.22 | 109.317750827144 | 0.902249172856173 |
| 14 | 110.4 | 110.171518202107 | 0.228481797893451 |
| 15 | 110.69 | 110.675897349309 | 0.0141026506911146 |
| 16 | 110.72 | 110.770390033708 | -0.0503900337077852 |
| 17 | 110.89 | 110.965719613761 | -0.0757196137607536 |
| 18 | 110.58 | 110.657493240438 | -0.0774932404384288 |
| 19 | 110.94 | 111.334770951348 | -0.394770951347823 |
| 20 | 110.91 | 110.952557258342 | -0.0425572583422138 |
| 21 | 111.22 | 111.147401327691 | 0.072598672308743 |
| 22 | 111.09 | 110.974932586218 | 0.115067413782285 |
| 23 | 111 | 111.188862771837 | -0.188862771836739 |
| 24 | 111.06 | 110.874445138559 | 0.185554861441247 |
| 25 | 111.55 | 111.744077360525 | -0.194077360524957 |
| 26 | 112.32 | 111.814821543751 | 0.505178456248714 |
| 27 | 112.64 | 112.506577269809 | 0.133422730191214 |
| 28 | 112.36 | 112.680974317223 | -0.320974317222678 |
| 29 | 112.04 | 112.680430511491 | -0.64043051149099 |
| 30 | 112.37 | 111.949343645802 | 0.420656354198258 |
| 31 | 112.59 | 112.964752946192 | -0.374752946192004 |
| 32 | 112.89 | 112.588167318021 | 0.301832681979249 |
| 33 | 113.22 | 113.025591505563 | 0.194408494436843 |
| 34 | 112.85 | 112.935997133788 | -0.085997133787842 |
| 35 | 113.06 | 113.003269340469 | 0.056730659530956 |
| 36 | 112.99 | 112.864983271274 | 0.125016728726294 |
| 37 | 113.32 | 113.700536695131 | -0.380536695130701 |
| 38 | 113.74 | 113.652157341487 | 0.0878426585131962 |
| 39 | 113.91 | 114.035955916242 | -0.125955916241807 |
| 40 | 114.52 | 113.999201023899 | 0.52079897610065 |
| 41 | 114.96 | 114.581618207039 | 0.378381792961264 |
| 42 | 114.91 | 114.599070475222 | 0.310929524778132 |
| 43 | 115.3 | 115.569682311137 | -0.269682311136762 |
| 44 | 115.44 | 115.305236296444 | 0.134763703556359 |
| 45 | 115.52 | 115.656039960459 | -0.136039960458888 |
| 46 | 116.08 | 115.343570324795 | 0.73642967520479 |
| 47 | 115.94 | 116.027376225578 | -0.0873762255783106 |
| 48 | 115.56 | 115.821428656575 | -0.261428656574793 |
| 49 | 115.88 | 116.422677370127 | -0.542677370126768 |
| 50 | 116.66 | 116.294012241995 | 0.365987758004977 |
| 51 | 117.41 | 116.903223885635 | 0.506776114365152 |
| 52 | 117.68 | 117.364317049679 | 0.315682950320891 |
| 53 | 117.85 | 117.848562041642 | 0.00143795835791138 |
| 54 | 118.21 | 117.625534265050 | 0.584465734949717 |
| 55 | 118.92 | 118.834084885612 | 0.0859151143882713 |
| 56 | 119.03 | 118.867816806424 | 0.162183193576496 |
| 57 | 119.17 | 119.289056769990 | -0.119056769989569 |
| 58 | 118.95 | 119.044007853194 | -0.0940078531937871 |
| 59 | 118.92 | 119.165750250126 | -0.245750250125667 |
| 60 | 118.9 | 118.861403636620 | 0.0385963633795683 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 119.715526388584 | 119.265755301009 | 120.165297476159 |
| 62 | 120.030070086460 | 119.386993676115 | 120.673146496806 |
| 63 | 120.430987892013 | 119.628383733995 | 121.233592050031 |
| 64 | 120.557502867448 | 119.613241721418 | 121.501764013477 |
| 65 | 120.831846414456 | 119.754435663872 | 121.909257165039 |
| 66 | 120.619057419030 | 119.418663259217 | 121.819451578844 |
| 67 | 121.421259612919 | 120.092477631224 | 122.750041594614 |
| 68 | 121.383198111863 | 119.937282012311 | 122.829114211414 |
| 69 | 121.675843897272 | 120.110991648490 | 123.240696146053 |
| 70 | 121.496344954675 | 119.819776112444 | 123.172913796907 |
| 71 | 121.673578752966 | 119.881564311948 | 123.465593193985 |
| 72 | 121.537564003874 | 118.801891422596 | 124.273236585151 |
