| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.998970511234536 |
| beta | 0.102472082251909 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 3.69 | 3.67 | 0.0199999999999996 |
| 4 | 3.7 | 3.70202674199258 | -0.00202674199258013 |
| 5 | 3.7 | 3.71184194761267 | -0.0118419476126652 |
| 6 | 3.71 | 3.71063983247953 | -0.000639832479527147 |
| 7 | 3.71 | 3.72056280255977 | -0.0105628025597748 |
| 8 | 3.71 | 3.71949174008406 | -0.00949174008406439 |
| 9 | 3.72 | 3.71851900038695 | 0.00148099961305448 |
| 10 | 3.72 | 3.7286593089525 | -0.00865930895250289 |
| 11 | 3.73 | 3.72778332437093 | 0.00221667562907113 |
| 12 | 3.74 | 3.73799904118871 | 0.00200095881128659 |
| 13 | 3.78 | 3.74820409459378 | 0.0317959054062165 |
| 14 | 3.78 | 3.79142825939234 | -0.0114282593923436 |
| 15 | 3.79 | 3.79030288625912 | -0.000302886259118562 |
| 16 | 3.79 | 3.80026042737945 | -0.0102604273794493 |
| 17 | 3.8 | 3.79922035360986 | 0.000779646390139277 |
| 18 | 3.81 | 3.80928879771906 | 0.000711202280942569 |
| 19 | 3.83 | 3.81936167153266 | 0.0106383284673424 |
| 20 | 3.84 | 3.8404404610592 | -0.000440461059196817 |
| 21 | 3.88 | 3.8504067780526 | 0.0295932219474011 |
| 22 | 3.91 | 3.89340521588371 | 0.016594784116287 |
| 23 | 3.96 | 3.92511734906456 | 0.0348826509354438 |
| 24 | 3.96 | 3.97866933988154 | -0.0186693398815376 |
| 25 | 3.97 | 3.9768133544232 | -0.00681335442320163 |
| 26 | 3.98 | 3.98610368897154 | -0.00610368897154423 |
| 27 | 3.99 | 3.9954781445623 | -0.00547814456229601 |
| 28 | 3.99 | 4.00491672160178 | -0.0149167216017805 |
| 29 | 4 | 4.0033994646104 | -0.00339946461040075 |
| 30 | 4 | 4.01303961612919 | -0.013039616129185 |
| 31 | 4.02 | 4.01171471953975 | 0.0082852804602469 |
| 32 | 4.02 | 4.0325409016929 | -0.0125409016928959 |
| 33 | 4.02 | 4.03127857269176 | -0.0112785726917579 |
| 34 | 4.03 | 4.03012272412982 | -0.000122724129818508 |
| 35 | 4.03 | 4.04009867645857 | -0.010098676458572 |
| 36 | 4.03 | 4.03907517953306 | -0.00907517953305526 |
| 37 | 4.04 | 4.0381451306866 | 0.00185486931339618 |
| 38 | 4.04 | 4.04832375496764 | -0.00832375496764026 |
| 39 | 4.05 | 4.04748215934832 | 0.00251784065168259 |
| 40 | 4.05 | 4.05772874080506 | -0.00772874080506103 |
| 41 | 4.05 | 4.05694812471676 | -0.00694812471675554 |
| 42 | 4.05 | 4.05623606525827 | -0.00623606525826848 |
| 43 | 4.06 | 4.05559696747556 | 0.0044030325244373 |
| 44 | 4.06 | 4.06603673806204 | -0.00603673806203631 |
| 45 | 4.06 | 4.06542952540813 | -0.00542952540812713 |
| 46 | 4.06 | 4.06487309829689 | -0.00487309829689142 |
| 47 | 4.07 | 4.06437368301387 | 0.00562631698613281 |
| 48 | 4.07 | 4.07493882085889 | -0.00493882085888586 |
| 49 | 4.08 | 4.07444412730759 | 0.00555587269241276 |
| 50 | 4.08 | 4.08500205887156 | -0.0050020588715558 |
| 51 | 4.08 | 4.08450088444186 | -0.0045008844418577 |
| 52 | 4.09 | 4.08403962830334 | 0.00596037169665742 |
| 53 | 4.09 | 4.09463900147382 | -0.00463900147382468 |
| 54 | 4.09 | 4.09417503465499 | -0.00417503465499269 |
| 55 | 4.09 | 4.09374717295231 | -0.00374717295230553 |
| 56 | 4.1 | 4.09336314716224 | 0.0066368528377625 |
| 57 | 4.1 | 4.10403184890702 | -0.00403184890702413 |
| 58 | 4.11 | 4.10363010559808 | 0.00636989440192259 |
| 59 | 4.11 | 4.11427146147856 | -0.00427146147855773 |
| 60 | 4.12 | 4.11384516169587 | 0.00615483830413144 |
| 61 | 4.12 | 4.12446447773669 | -0.00446447773668979 |
| 62 | 4.12 | 4.12401839684838 | -0.0040183968483829 |
| 63 | 4.12 | 4.12360658803694 | -0.00360658803693514 |
| 64 | 4.12 | 4.12323696997131 | -0.00323696997130618 |
| 65 | 4.15 | 4.12290523188096 | 0.0270947681190385 |
| 66 | 4.15 | 4.15564760467305 | -0.00564760467304559 |
| 67 | 4.15 | 4.15510318655501 | -0.00510318655500885 |
| 68 | 4.15 | 4.1545802302851 | -0.00458023028509658 |
| 69 | 4.16 | 4.15411082935915 | 0.00588917064085415 |
| 70 | 4.16 | 4.16470290553549 | -0.00470290553548836 |
| 71 | 4.16 | 4.16423238956371 | -0.00423238956370486 |
| 72 | 4.2 | 4.16379864989241 | 0.0362013501075946 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 4.20746283251746 | 4.18516846342128 | 4.22975720161363 |
| 74 | 4.21496293391814 | 4.18179790802981 | 4.24812795980648 |
| 75 | 4.22246303531883 | 4.17980064120539 | 4.26512542943227 |
| 76 | 4.22996313671952 | 4.1783110453642 | 4.28161522807483 |
| 77 | 4.2374632381202 | 4.17701564253638 | 4.29791083370402 |
| 78 | 4.24496333952089 | 4.17576495411354 | 4.31416172492824 |
| 79 | 4.25246344092158 | 4.17447709856111 | 4.33044978328204 |
| 80 | 4.25996354232226 | 4.17310337983545 | 4.34682370480908 |
| 81 | 4.26746364372295 | 4.17161330151996 | 4.36331398592594 |
| 82 | 4.27496374512363 | 4.16998714166183 | 4.37994034858544 |
| 83 | 4.28246384652432 | 4.16821192221183 | 4.39671577083681 |
| 84 | 4.28996394792501 | 4.16627906701933 | 4.41364882883069 |
