| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.520425617529786 |
| beta | 0 |
| gamma | 0.561201006499266 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 2.38 | 2.39998328408389 | -0.0199832840838923 |
| 14 | 1.99 | 2.00313498691079 | -0.0131349869107866 |
| 15 | 1.82 | 1.82109270008571 | -0.00109270008571416 |
| 16 | 2.47 | 2.42837548946327 | 0.041624510536729 |
| 17 | 1.94 | 1.90948863183443 | 0.030511368165574 |
| 18 | 1.39 | 1.39054951559396 | -0.00054951559396299 |
| 19 | 1.11 | 1.11967755683772 | -0.0096775568377201 |
| 20 | 0.97 | 0.97608033956112 | -0.00608033956112053 |
| 21 | 1.38 | 1.35596448139996 | 0.0240355186000416 |
| 22 | 2.39 | 2.29828061340688 | 0.0917193865931232 |
| 23 | 1.88 | 1.80694583216534 | 0.0730541678346568 |
| 24 | 2.11 | 2.05698043374046 | 0.0530195662595374 |
| 25 | 2.11 | 2.55543567295012 | -0.445435672950124 |
| 26 | 2.17 | 1.94877570049834 | 0.221224299501662 |
| 27 | 2.54 | 1.88580169696206 | 0.65419830303794 |
| 28 | 3.13 | 2.98364655966055 | 0.146353440339451 |
| 29 | 2.25 | 2.38399955359399 | -0.133999553593986 |
| 30 | 1.39 | 1.66414412563453 | -0.274144125634533 |
| 31 | 1.36 | 1.22261619074062 | 0.137383809259379 |
| 32 | 1.33 | 1.13398689427685 | 0.196013105723152 |
| 33 | 1.6 | 1.73368281761453 | -0.133682817614531 |
| 34 | 1.95 | 2.81090881714227 | -0.860908817142275 |
| 35 | 2.23 | 1.82017139339688 | 0.409828606603123 |
| 36 | 2.53 | 2.25858240359666 | 0.271417596403336 |
| 37 | 2.36 | 2.77115619594074 | -0.411156195940741 |
| 38 | 1.95 | 2.32656311019377 | -0.376563110193769 |
| 39 | 2.16 | 2.04179086170500 | 0.118209138295002 |
| 40 | 2.76 | 2.64589457516534 | 0.114105424834664 |
| 41 | 2.09 | 2.04855242966787 | 0.0414475703321342 |
| 42 | 1.49 | 1.43882165508134 | 0.051178344918664 |
| 43 | 1.17 | 1.2729812597176 | -0.102981259717599 |
| 44 | 1.3 | 1.08316395637017 | 0.21683604362983 |
| 45 | 1.26 | 1.57413829407315 | -0.314138294073152 |
| 46 | 2.17 | 2.19662014535545 | -0.0266201453554524 |
| 47 | 2.03 | 1.96536267794409 | 0.0646373220559062 |
| 48 | 2.18 | 2.17018037897688 | 0.0098196210231194 |
| 49 | 2.61 | 2.33218240658278 | 0.277817593417220 |
| 50 | 2.58 | 2.24328625492186 | 0.336713745078145 |
| 51 | 3.86 | 2.47028461506549 | 1.38971538493451 |
| 52 | 3.81 | 4.00241743196746 | -0.192417431967456 |
| 53 | 2.41 | 2.93754895891679 | -0.527548958916794 |
| 54 | 1.47 | 1.85827856196712 | -0.388278561967121 |
| 55 | 1.33 | 1.39288739028636 | -0.0628873902863631 |
| 56 | 1.38 | 1.29663561260353 | 0.08336438739647 |
| 57 | 1.57 | 1.58083669736747 | -0.0108366973674736 |
| 58 | 2.6 | 2.60066068272966 | -0.000660682729659356 |
| 59 | 2.18 | 2.36947786358222 | -0.189477863582215 |
| 60 | 2.36 | 2.44702799086976 | -0.0870279908697649 |
| 61 | 2.24 | 2.64947693824172 | -0.409476938241721 |
| 62 | 2.41 | 2.22229911548422 | 0.187700884515777 |
| 63 | 2.51 | 2.55156201626627 | -0.0415620162662731 |
| 64 | 2.98 | 2.80064954281608 | 0.179350457183921 |
| 65 | 1.87 | 2.09011516470113 | -0.220115164701126 |
| 66 | 1.9 | 1.36433452066615 | 0.535665479333854 |
| 67 | 1.47 | 1.45657926281323 | 0.0134207371867678 |
| 68 | 1.45 | 1.43644609945758 | 0.0135539005424161 |
| 69 | 2.71 | 1.67176825577605 | 1.03823174422395 |
| 70 | 2.9 | 3.65870085771060 | -0.758700857710595 |
| 71 | 2.11 | 2.90752100729388 | -0.797521007293879 |
| 72 | 2.18 | 2.72072515495033 | -0.540725154950332 |
| 73 | 2.24 | 2.59451730431754 | -0.354517304317538 |
| 74 | 2.05 | 2.35253803832019 | -0.302538038320189 |
| 75 | 2.42 | 2.3523058529599 | 0.0676941470401022 |
| 76 | 2.77 | 2.69903329802801 | 0.0709667019719884 |
| 77 | 1.99 | 1.88528802746112 | 0.104711972538879 |
| 78 | 1.47 | 1.50221228335625 | -0.0322122833562548 |
| 79 | 1.09 | 1.21358566768870 | -0.123585667688698 |
| 80 | 0.93 | 1.12804081910118 | -0.198040819101177 |
| 81 | 1.32 | 1.33363715434135 | -0.0136371543413532 |
| 82 | 2.03 | 1.82610422105018 | 0.203895778949824 |
| 83 | 2.04 | 1.67801785842964 | 0.361982141570361 |
| 84 | 2.78 | 2.09630315457446 | 0.68369684542554 |
| 85 | 2.8 | 2.66379457654119 | 0.136205423458809 |
| 86 | 3.03 | 2.67639628671862 | 0.35360371328138 |
| 87 | 3.11 | 3.20766495379542 | -0.0976649537954168 |
| 88 | 2.75 | 3.56640310427847 | -0.816403104278469 |
| 89 | 2.78 | 2.18097441061242 | 0.599025589387579 |
| 90 | 1.76 | 1.89167208016354 | -0.131672080163539 |
| 91 | 1.29 | 1.45486270338064 | -0.164862703380636 |
| 92 | 1.28 | 1.31186545340233 | -0.0318654534023308 |
| 93 | 1.43 | 1.77287304609525 | -0.342873046095252 |
| 94 | 1.71 | 2.26348219764550 | -0.553482197645503 |
| 95 | 1.89 | 1.75524986696399 | 0.134750133036012 |
| 96 | 1.84 | 2.09473316847462 | -0.254733168474621 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 2.00933754497803 | 1.45058509868103 | 2.56808999127504 |
| 98 | 2.00506295890044 | 1.31999620983487 | 2.69012970796602 |
| 99 | 2.15795172410657 | 1.35741659801908 | 2.95848685019405 |
| 100 | 2.28644730444787 | 1.50834357829707 | 3.06455103059866 |
| 101 | 1.81709957717443 | 1.09480522460000 | 2.53939392974886 |
| 102 | 1.27001295030391 | 0.544607039299388 | 1.99541886130842 |
| 103 | 1.00005754169695 | 0.193467597394133 | 1.80664748599977 |
| 104 | 0.98381608164466 | -0.0702017834715115 | 2.03783394676083 |
| 105 | 1.27708624912585 | -0.180944758459344 | 2.73511725671104 |
| 106 | 1.77923549399763 | 0.301170493512605 | 3.25730049448265 |
| 107 | 1.74382552299113 | 0.106728108861283 | 3.38092293712097 |
| 108 | 1.89360522170516 | NA | NA |
