| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.997151100012884 |
| beta | 0.00829700255916443 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 3.31 | 3.53 | -0.22 |
| 4 | 3.89 | 3.24880661764686 | 0.641193382353144 |
| 5 | 4.31 | 3.83165799086539 | 0.478342009134614 |
| 6 | 4.35 | 4.25607943628624 | 0.0939205637137581 |
| 7 | 4.11 | 4.29795165366323 | -0.187951653663235 |
| 8 | 3.9 | 4.0571996867436 | -0.1571996867436 |
| 9 | 3.75 | 3.84581150704317 | -0.0958115070431735 |
| 10 | 3.75 | 3.69484393466794 | 0.0551560653320622 |
| 11 | 3.88 | 3.69487016942601 | 0.185129830573988 |
| 12 | 3.93 | 3.82603153387095 | 0.103968466129049 |
| 13 | 3.97 | 3.87712292357362 | 0.092877076426376 |
| 14 | 3.97 | 3.91792292780825 | 0.052077072191747 |
| 15 | 4.33 | 3.91847001557807 | 0.411529984421926 |
| 16 | 4.16 | 4.28085070804473 | -0.120850708044729 |
| 17 | 4.93 | 4.11136756534684 | 0.81863243465316 |
| 18 | 3.86 | 4.88546391695364 | -1.02546391695364 |
| 19 | 4.06 | 3.81223352551218 | 0.247766474487817 |
| 20 | 4.18 | 4.01065608200127 | 0.16934391799873 |
| 21 | 4.08 | 4.1322805441043 | -0.0522805441043008 |
| 22 | 4.38 | 4.0324793939958 | 0.347520606004198 |
| 23 | 4.48 | 4.33421556540237 | 0.145784434597627 |
| 24 | 4.41 | 4.43599641945058 | -0.0259964194505775 |
| 25 | 4.37 | 4.36627072805071 | 0.00372927194929051 |
| 26 | 4.56 | 4.32621689615774 | 0.233783103842263 |
| 27 | 4.71 | 4.5174956688014 | 0.192504331198598 |
| 28 | 4.94 | 4.66920592653636 | 0.270794073463636 |
| 29 | 5.03 | 4.90122326516216 | 0.128776734837839 |
| 30 | 5.08 | 4.99269327531661 | 0.087306724683387 |
| 31 | 5.05 | 5.04353373964823 | 0.00646626035176734 |
| 32 | 4.83 | 5.01381754377958 | -0.183817543779579 |
| 33 | 4.68 | 4.79283885363159 | -0.11283885363159 |
| 34 | 4.69 | 4.64170308539406 | 0.0482969146059382 |
| 35 | 4.58 | 4.65164360371996 | -0.0716436037199601 |
| 36 | 4.54 | 4.5413925685612 | -0.00139256856119907 |
| 37 | 4.75 | 4.50118090915973 | 0.248819090840272 |
| 38 | 4.71 | 4.71252665238087 | -0.00252665238087246 |
| 39 | 4.5 | 4.67322180734754 | -0.173221807347544 |
| 40 | 4.62 | 4.46227497349457 | 0.157725026505429 |
| 41 | 4.69 | 4.58263705581385 | 0.107362944186146 |
| 42 | 5.05 | 4.6536687851988 | 0.396331214801197 |
| 43 | 4.93 | 5.01612453638795 | -0.0861245363879473 |
| 44 | 4.53 | 4.89678646482661 | -0.366786464826605 |
| 45 | 4.33 | 4.49455148420647 | -0.164551484206472 |
| 46 | 4.33 | 4.29261394244503 | 0.0373860575549729 |
| 47 | 3.87 | 4.29234795109352 | -0.422347951093518 |
| 48 | 3.74 | 3.83016344845185 | -0.0901634484518512 |
| 49 | 3.31 | 3.69847113288724 | -0.388471132887236 |
| 50 | 3.21 | 3.2661070180824 | -0.0561070180824048 |
| 51 | 2.93 | 3.16469595210753 | -0.234695952107532 |
| 52 | 3.19 | 2.8832630087899 | 0.306736991210103 |
| 53 | 3.46 | 3.14425826764208 | 0.315741732357917 |
| 54 | 3.73 | 3.41684486070488 | 0.313155139295124 |
| 55 | 3.6 | 3.68944307649045 | -0.0894430764904457 |
| 56 | 3.46 | 3.55985004330323 | -0.099850043303228 |
| 57 | 3.25 | 3.4190535958345 | -0.169053595834499 |
| 58 | 3.19 | 3.20785210769285 | -0.0178521076928542 |
| 59 | 2.82 | 3.14727365276819 | -0.327273652768191 |
| 60 | 1.89 | 2.77544750934489 | -0.885447509344893 |
| 61 | 1.98 | 1.83971206020207 | 0.140287939797933 |
| 62 | 2.3 | 1.92795049585735 | 0.372049504142652 |
| 63 | 2.42 | 2.25036833177059 | 0.169631668229406 |
| 64 | 2.47 | 2.37234842468633 | 0.097651575313669 |
| 65 | 2.81 | 2.42336139591984 | 0.386638604080162 |
| 66 | 3.37 | 2.76573690316037 | 0.60426309683963 |
| 67 | 3.14 | 3.33011620204012 | -0.190116202040119 |
| 68 | 3.21 | 3.1008064084391 | 0.109193591560904 |
| 69 | 3.02 | 3.17085710323558 | -0.150857103235576 |
| 70 | 2.96 | 2.98034986574422 | -0.0203498657442234 |
| 71 | 2.92 | 2.91980970180536 | 0.000190298194640892 |
| 72 | 3.07 | 2.87975275933904 | 0.190247240660955 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 3.03078529102384 | 2.45209257671315 | 3.60947800533453 |
| 74 | 2.99211257740914 | 2.17149481254445 | 3.81273034227383 |
| 75 | 2.95343986379445 | 1.94470996372845 | 3.96216976386044 |
| 76 | 2.91476715017976 | 1.74545171444026 | 4.08408258591925 |
| 77 | 2.87609443656506 | 1.56355983063596 | 4.18862904249417 |
| 78 | 2.83742172295037 | 1.39384028547235 | 4.28100316042838 |
| 79 | 2.79874900933567 | 1.23321866542566 | 4.36427935324568 |
| 80 | 2.76007629572098 | 1.07969937079829 | 4.44045322064367 |
| 81 | 2.72140358210628 | 0.931901621281566 | 4.510905542931 |
| 82 | 2.68273086849159 | 0.788824039609276 | 4.5766376973739 |
| 83 | 2.6440581548769 | 0.649713680939965 | 4.63840262881383 |
| 84 | 2.6053854412622 | 0.51398793592322 | 4.69678294660118 |
