| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.694939004311082 |
| beta | FALSE |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 2 | 2.4 | 2 | 0.4 |
| 3 | 1.5 | 2.27797560172443 | -0.777975601724433 |
| 4 | 1.2 | 1.73733001168374 | -0.53733001168374 |
| 5 | 1.5 | 1.36391842837778 | 0.136081571622221 |
| 6 | 0.6 | 1.45848682026601 | -0.858486820266013 |
| 7 | 2.7 | 0.861890844176163 | 1.83810915582384 |
| 8 | 3.7 | 2.13926459073946 | 1.56073540926054 |
| 9 | 4.9 | 3.22388050204403 | 1.67611949795597 |
| 10 | 6.6 | 4.38868131705994 | 2.21131868294006 |
| 11 | 7.4 | 5.9254129207968 | 1.4745870792032 |
| 12 | 7.2 | 6.95016099738826 | 0.249839002611741 |
| 13 | 5.3 | 7.12378386510134 | -1.82378386510134 |
| 14 | 4.7 | 5.8563653218092 | -1.15636532180920 |
| 15 | 6.1 | 5.05276195645125 | 1.04723804354875 |
| 16 | 6.6 | 5.7805285197117 | 0.819471480288296 |
| 17 | 7 | 6.35001121428458 | 0.64998878571542 |
| 18 | 7.5 | 6.80171377384302 | 0.698286226156977 |
| 19 | 6.6 | 7.2869801085727 | -0.686980108572696 |
| 20 | 7.8 | 6.80957083593967 | 0.990429164060333 |
| 21 | 4.7 | 7.49785869305241 | -2.79785869305241 |
| 22 | 5.4 | 5.55351755869946 | -0.153517558699463 |
| 23 | 4.3 | 5.44683221931259 | -1.14683221931259 |
| 24 | 4.5 | 4.64985377871163 | -0.149853778711630 |
| 25 | 5.8 | 4.54571454294152 | 1.25428545705848 |
| 26 | 4.6 | 5.41736642959161 | -0.81736642959161 |
| 27 | 5.2 | 4.84934661685391 | 0.350653383146089 |
| 28 | 3.6 | 5.09302932979577 | -1.49302932979577 |
| 29 | 4.8 | 4.05546501394025 | 0.744534986059746 |
| 30 | 6.7 | 4.57287141582738 | 2.12712858417262 |
| 31 | 6.3 | 6.05109603615394 | 0.248903963846057 |
| 32 | 4.8 | 6.2240691089582 | -1.42406910895820 |
| 33 | 8.7 | 5.23442794030862 | 3.46557205969138 |
| 34 | 6.8 | 7.64278913683885 | -0.842789136838854 |
| 35 | 7.4 | 7.05710209323986 | 0.342897906760136 |
| 36 | 9 | 7.2953952231441 | 1.70460477685589 |
| 37 | 7.9 | 8.47999156951626 | -0.579991569516256 |
| 38 | 9.1 | 8.0769328056878 | 1.02306719431219 |
| 39 | 8.7 | 8.78790210304646 | -0.0879021030464564 |
| 40 | 9.8 | 8.7268155030785 | 1.0731844969215 |
| 41 | 6.4 | 9.47261326881122 | -3.07261326881122 |
| 42 | 6.1 | 7.33733446315053 | -1.23733446315053 |
| 43 | 4.7 | 6.47746248332891 | -1.77746248332891 |
| 44 | 4.8 | 5.24223447496401 | -0.442234474964015 |
| 45 | 4.2 | 4.93490848926049 | -0.734908489260488 |
| 46 | 2.8 | 4.42419191547404 | -1.62419191547404 |
| 47 | 6.1 | 3.2954776029244 | 2.8045223970756 |
| 48 | 5.8 | 5.24444960511625 | 0.555550394883752 |
| 49 | 4.9 | 5.63052324338139 | -0.73052324338139 |
| 50 | 4.6 | 5.12285414799983 | -0.522854147999825 |
| 51 | 4.1 | 4.75950240698891 | -0.659502406988908 |
| 52 | 3.6 | 4.30118846093527 | -0.701188460935274 |
| 53 | 5.9 | 3.81390525005849 | 2.08609474994151 |
| 54 | 4.5 | 5.26361385848142 | -0.763613858481420 |
| 55 | 4.8 | 4.7329488039902 | 0.0670511960098015 |
| 56 | 5.7 | 4.77954529538312 | 0.920454704616883 |
| 57 | 5 | 5.41920517132302 | -0.419205171323025 |
| 58 | 7 | 5.12788314696174 | 1.87211685303826 |
| 59 | 4.6 | 6.42889016876615 | -1.82889016876615 |
| 60 | 2.6 | 5.15792305588947 | -2.55792305588947 |
| 61 | 5 | 3.38032255432528 | 1.61967744567472 |
| 62 | 4.1 | 4.50589958572759 | -0.405899585727588 |
| 63 | 3.2 | 4.22382413177178 | -1.02382413177178 |
| 64 | 0 | 3.51232880904864 | -3.51232880904864 |
| 65 | 2.3 | 1.07147452367525 | 1.22852547632475 |
| 66 | 3.8 | 1.92522479496317 | 1.87477520503683 |
| 67 | 4.5 | 3.22807920925857 | 1.27192079074143 |
| 68 | 5.9 | 4.11198657713898 | 1.78801342286102 |
| 69 | 5 | 5.35454684491687 | -0.354546844916869 |
| 70 | 4.2 | 5.1081584135287 | -0.908158413528704 |
| 71 | 4.5 | 4.47704370987433 | 0.0229562901256655 |
| 72 | 6 | 4.49299693127694 | 1.50700306872306 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 5.54027214334909 | 2.7563313293719 | 8.32421295732628 |
| 74 | 5.54027214334909 | 2.15009946085874 | 8.93044482583943 |
| 75 | 5.54027214334909 | 1.63691266996215 | 9.44363161673603 |
| 76 | 5.54027214334909 | 1.18376442042980 | 9.89677986626837 |
| 77 | 5.54027214334909 | 0.77350133899619 | 10.3070429477020 |
| 78 | 5.54027214334909 | 0.395853005816942 | 10.6846912808812 |
| 79 | 5.54027214334909 | 0.0440923224204841 | 11.0364519642777 |
| 80 | 5.54027214334909 | -0.286471113853737 | 11.3670154005519 |
| 81 | 5.54027214334909 | -0.599262150612824 | 11.679806437311 |
| 82 | 5.54027214334909 | -0.896872076575629 | 11.9774163632738 |
| 83 | 5.54027214334909 | -1.18131770351646 | 12.2618619902146 |
| 84 | 5.54027214334909 | -1.45420528036612 | 12.5347495670643 |
