| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.783720911776282 |
| beta | 0.036733438973409 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 21.16 | 20.9321420940171 | 0.227857905982894 |
| 14 | 21.52 | 21.4804752343416 | 0.0395247656583599 |
| 15 | 21.59 | 21.591512290042 | -0.00151229004195841 |
| 16 | 21.6 | 21.608677543404 | -0.00867754340399074 |
| 17 | 21.68 | 21.6799774221164 | 2.25778836089319e-05 |
| 18 | 21.67 | 21.6551797511396 | 0.0148202488604205 |
| 19 | 21.67 | 21.7282393143373 | -0.0582393143372997 |
| 20 | 21.65 | 21.6765305988258 | -0.0265305988258255 |
| 21 | 21.74 | 21.7284922169237 | 0.0115077830763433 |
| 22 | 21.72 | 21.7005966052228 | 0.0194033947772212 |
| 23 | 21.84 | 21.6231975492817 | 0.216802450718298 |
| 24 | 21.94 | 21.81882906943 | 0.121170930569996 |
| 25 | 21.94 | 21.982281428922 | -0.0422814289220383 |
| 26 | 21.95 | 22.2864021060879 | -0.336402106087881 |
| 27 | 21.96 | 22.091353386584 | -0.131353386584049 |
| 28 | 22.1 | 21.9988832306635 | 0.101116769336521 |
| 29 | 22.13 | 22.154947172903 | -0.0249471729029835 |
| 30 | 22.18 | 22.1098960749287 | 0.0701039250713329 |
| 31 | 22.18 | 22.2081883663306 | -0.0281883663306495 |
| 32 | 22.27 | 22.1854612797213 | 0.0845387202787151 |
| 33 | 22.3 | 22.3344668413114 | -0.0344668413114171 |
| 34 | 22.04 | 22.2726937470399 | -0.232693747039853 |
| 35 | 22.05 | 22.0336027481736 | 0.0163972518263797 |
| 36 | 22.06 | 22.0389085781869 | 0.0210914218130931 |
| 37 | 22.06 | 22.0731131942079 | -0.0131131942079428 |
| 38 | 22.06 | 22.3218591800885 | -0.261859180088479 |
| 39 | 21.97 | 22.2171027644316 | -0.247102764431631 |
| 40 | 22.03 | 22.0683872561941 | -0.0383872561940883 |
| 41 | 22.08 | 22.0680292556206 | 0.0119707443794184 |
| 42 | 22.13 | 22.0537071612205 | 0.0762928387794553 |
| 43 | 22.13 | 22.1170075327071 | 0.0129924672928716 |
| 44 | 22.4 | 22.1335370495493 | 0.266462950450663 |
| 45 | 22.4 | 22.3872212055763 | 0.0127787944236495 |
| 46 | 22.12 | 22.3088024983054 | -0.188802498305417 |
| 47 | 22.22 | 22.1484460665671 | 0.0715539334328952 |
| 48 | 22.14 | 22.190045388421 | -0.0500453884210401 |
| 49 | 22.14 | 22.1511037108734 | -0.0111037108733854 |
| 50 | 22.19 | 22.3376867217565 | -0.147686721756514 |
| 51 | 22.29 | 22.3189487432748 | -0.028948743274789 |
| 52 | 22.24 | 22.3859738778263 | -0.145973877826346 |
| 53 | 22.26 | 22.3087200632113 | -0.0487200632113307 |
| 54 | 22.29 | 22.2555283130356 | 0.034471686964423 |
| 55 | 22.29 | 22.2659415227353 | 0.0240584772646599 |
| 56 | 22.29 | 22.3398621408185 | -0.04986214081854 |
| 57 | 22.29 | 22.2755605942732 | 0.0144394057267583 |
| 58 | 22.35 | 22.1396847958971 | 0.210315204102912 |
| 59 | 22.39 | 22.344764282207 | 0.0452357177929947 |
| 60 | 22.43 | 22.3350097854788 | 0.0949902145211539 |
| 61 | 22.43 | 22.4179049170437 | 0.0120950829562787 |
| 62 | 22.11 | 22.5935442269465 | -0.483544226946492 |
| 63 | 22.12 | 22.3280142856717 | -0.208014285671684 |
| 64 | 22.05 | 22.2149828906543 | -0.164982890654304 |
| 65 | 22.05 | 22.1289090055216 | -0.0789090055215667 |
| 66 | 22.08 | 22.054224807481 | 0.0257751925190064 |
| 67 | 22.08 | 22.0394944934491 | 0.0405055065509252 |
| 68 | 22.09 | 22.0947152584135 | -0.00471525841354037 |
| 69 | 22.09 | 22.0654008204975 | 0.0245991795025198 |
| 70 | 22.24 | 21.9658412486274 | 0.274158751372639 |
| 71 | 22.25 | 22.1730809543256 | 0.0769190456743836 |
| 72 | 22.24 | 22.1876582623529 | 0.0523417376470725 |
| 73 | 22.24 | 22.2067126712681 | 0.0332873287319302 |
| 74 | 22.25 | 22.2798867318923 | -0.029886731892347 |
| 75 | 22.28 | 22.4306716220172 | -0.150671622017203 |
| 76 | 22.23 | 22.374721088214 | -0.144721088213995 |
| 77 | 22.29 | 22.3265595207067 | -0.0365595207066782 |
| 78 | 22.31 | 22.3123424297043 | -0.00234242970434195 |
| 79 | 22.31 | 22.2825880617184 | 0.0274119382815954 |
| 80 | 22.31 | 22.3212163256383 | -0.0112163256383511 |
| 81 | 22.39 | 22.2964093156349 | 0.0935906843650969 |
| 82 | 22.42 | 22.3101428760345 | 0.109857123965494 |
| 83 | 22.42 | 22.3464756264744 | 0.0735243735256432 |
| 84 | 22.42 | 22.353497662452 | 0.0665023375480018 |
| 85 | 22.15 | 22.3803573868917 | -0.230357386891736 |
| 86 | 21.95 | 22.2264827642439 | -0.276482764243919 |
| 87 | 21.96 | 22.1440211679701 | -0.184021167970112 |
| 88 | 21.97 | 22.048400008237 | -0.0784000082370504 |
| 89 | 21.66 | 22.0626971797454 | -0.402697179745442 |
| 90 | 21.66 | 21.7454785757922 | -0.085478575792223 |
| 91 | 21.68 | 21.6311583180411 | 0.0488416819589226 |
| 92 | 21.75 | 21.6529983692238 | 0.0970016307762265 |
| 93 | 21.55 | 21.7135583952028 | -0.163558395202831 |
| 94 | 21.59 | 21.4997607269364 | 0.090239273063613 |
| 95 | 21.54 | 21.4827795612671 | 0.0572204387329123 |
| 96 | 21.54 | 21.4449547909536 | 0.095045209046404 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 21.4002509720251 | 21.1344461707595 | 21.6660557732906 |
| 98 | 21.3938393625097 | 21.0513560933383 | 21.7363226316811 |
| 99 | 21.532923263587 | 21.123898551641 | 21.9419479755331 |
| 100 | 21.5945273950836 | 21.1246459415081 | 22.0644088486591 |
| 101 | 21.5925470408783 | 21.065409489536 | 22.1196845922206 |
| 102 | 21.6635489873363 | 21.0815914459957 | 22.2455065286768 |
| 103 | 21.6517421614894 | 21.0166772528731 | 22.2868070701056 |
| 104 | 21.6507852849751 | 20.9638430131567 | 22.3377275567934 |
| 105 | 21.5812421925099 | 20.843313719034 | 22.3191706659857 |
| 106 | 21.5575012041505 | 20.7692304437516 | 22.3457719645493 |
| 107 | 21.4670398895771 | 20.6288848465875 | 22.3051949325667 |
| 108 | 21.3952872058029 | 20.5075627005584 | 22.2830117110474 |
