| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.627213828350914 |
| beta | 0.0867300268830716 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 4.07 | 3.86178952991453 | 0.208210470085469 |
| 14 | 4.07 | 3.99723394681064 | 0.0727660531893628 |
| 15 | 4.3 | 4.28376743335781 | 0.0162325666421861 |
| 16 | 4.44 | 4.44864202562299 | -0.00864202562298999 |
| 17 | 4.52 | 4.53786148504937 | -0.0178614850493748 |
| 18 | 4.52 | 4.5403267381081 | -0.0203267381081007 |
| 19 | 4.52 | 4.43805667759225 | 0.081943322407752 |
| 20 | 4.53 | 4.5389727217484 | -0.00897272174839969 |
| 21 | 4.53 | 4.63279353189752 | -0.102793531897524 |
| 22 | 4.53 | 4.59676017533939 | -0.0667601753393905 |
| 23 | 4.53 | 4.5605291334399 | -0.0305291334398978 |
| 24 | 4.53 | 4.54202863659128 | -0.0120286365912756 |
| 25 | 4.53 | 4.61209555419047 | -0.0820955541904702 |
| 26 | 4.53 | 4.5052232195057 | 0.024776780494296 |
| 27 | 4.53 | 4.72823074201218 | -0.198230742012176 |
| 28 | 4.61 | 4.72530011737975 | -0.115300117379749 |
| 29 | 4.63 | 4.7143652838456 | -0.0843652838455968 |
| 30 | 4.63 | 4.64076175474174 | -0.0107617547417442 |
| 31 | 4.63 | 4.54969849929413 | 0.0803015007058736 |
| 32 | 4.63 | 4.58268586476777 | 0.0473141352322264 |
| 33 | 4.63 | 4.64689071573509 | -0.0168907157350944 |
| 34 | 4.63 | 4.6528977415892 | -0.0228977415892029 |
| 35 | 4.63 | 4.63479850787568 | -0.00479850787567759 |
| 36 | 4.63 | 4.61784729794818 | 0.0121527020518153 |
| 37 | 4.63 | 4.65679048396416 | -0.0267904839641622 |
| 38 | 4.63 | 4.60728465927234 | 0.0227153407276584 |
| 39 | 4.66 | 4.72859083559195 | -0.0685908355919453 |
| 40 | 4.7 | 4.8276654678635 | -0.127665467863503 |
| 41 | 4.72 | 4.80961226479785 | -0.0896122647978466 |
| 42 | 4.73 | 4.74897597894061 | -0.0189759789406114 |
| 43 | 4.73 | 4.67508077568115 | 0.0549192243188505 |
| 44 | 4.74 | 4.66684304556095 | 0.0731569544390513 |
| 45 | 4.74 | 4.71172024705726 | 0.0282797529427361 |
| 46 | 4.74 | 4.73467473233064 | 0.00532526766936137 |
| 47 | 4.76 | 4.73341504028999 | 0.0265849597100116 |
| 48 | 4.88 | 4.73656489422204 | 0.14343510577796 |
| 49 | 4.88 | 4.84457201633421 | 0.0354279836657856 |
| 50 | 4.88 | 4.85716941720427 | 0.0228305827957325 |
| 51 | 4.88 | 4.94914031941823 | -0.0691403194182332 |
| 52 | 4.89 | 5.03044833525241 | -0.140448335252407 |
| 53 | 4.97 | 5.02246811640765 | -0.0524681164076499 |
| 54 | 4.97 | 5.01738682966521 | -0.0473868296652151 |
| 55 | 4.97 | 4.95759900170933 | 0.0124009982906736 |
| 56 | 4.97 | 4.93155905165261 | 0.0384409483473851 |
| 57 | 4.97 | 4.93811082896834 | 0.0318891710316551 |
| 58 | 4.97 | 4.95514695764518 | 0.0148530423548241 |
| 59 | 4.97 | 4.9686817124807 | 0.00131828751929941 |
| 60 | 4.97 | 4.99906279115013 | -0.0290627911501282 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 4.94874841015698 | 4.80813406159269 | 5.08936275872126 |
| 62 | 4.92263665659189 | 4.75246453200324 | 5.09280878118054 |
| 63 | 4.95296838044403 | 4.75379639149656 | 5.15214036939151 |
| 64 | 5.04178659181495 | 4.81370282991785 | 5.26987035371206 |
| 65 | 5.1530625400754 | 4.89589773765739 | 5.4102273424934 |
| 66 | 5.18400560990304 | 4.89743781600061 | 5.47057340380547 |
| 67 | 5.18002668892823 | 4.86363876726319 | 5.49641461059327 |
| 68 | 5.1590405583078 | 4.81235423775405 | 5.50572687886154 |
| 69 | 5.14007267184845 | 4.76256984538359 | 5.51757549831331 |
| 70 | 5.13005536507095 | 4.72119197199049 | 5.53891875815141 |
| 71 | 5.12771926384869 | 4.68693462785039 | 5.568503899847 |
| 72 | 5.14436688272482 | 4.67109014843737 | 5.61764361701227 |
