| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.422981882109855 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 7.54 | 7.4 | 0.14 |
| 4 | 7.56 | 7.46921746349538 | 0.0907825365046202 |
| 5 | 7.57 | 7.52761683164881 | 0.0423831683511899 |
| 6 | 7.56 | 7.55554414396778 | 0.00445585603222387 |
| 7 | 7.57 | 7.5474288903387 | 0.0225711096613042 |
| 8 | 7.61 | 7.56697606078454 | 0.0430239392154572 |
| 9 | 7.61 | 7.62517440756968 | -0.0151744075696767 |
| 10 | 7.6 | 7.61875590809595 | -0.0187559080959536 |
| 11 | 7.61 | 7.60082249878885 | 0.00917750121115368 |
| 12 | 7.61 | 7.61470441552421 | -0.00470441552420642 |
| 13 | 7.62 | 7.61271453299155 | 0.00728546700844923 |
| 14 | 7.7 | 7.62579615353883 | 0.0742038464611667 |
| 15 | 7.73 | 7.73718303617477 | -0.00718303617476845 |
| 16 | 7.75 | 7.7641447420143 | -0.0141447420143024 |
| 17 | 7.76 | 7.77816177241513 | -0.0181617724151346 |
| 18 | 7.76 | 7.78047967173653 | -0.0204796717365294 |
| 19 | 7.77 | 7.77181714164042 | -0.00181714164042024 |
| 20 | 7.79 | 7.78104852364929 | 0.00895147635070526 |
| 21 | 7.79 | 7.80483483596378 | -0.0148348359637787 |
| 22 | 7.79 | 7.79855996912703 | -0.00855996912702839 |
| 23 | 7.83 | 7.79493925727488 | 0.0350607427251246 |
| 24 | 7.83 | 7.84976931622092 | -0.019769316220918 |
| 25 | 7.88 | 7.84140725363777 | 0.0385927463622302 |
| 26 | 7.95 | 7.90773128612985 | 0.0422687138701461 |
| 27 | 8.01 | 7.99561018627701 | 0.0143898137229881 |
| 28 | 8.05 | 8.06169681676877 | -0.0116968167687705 |
| 29 | 8.1 | 8.09674927519722 | 0.00325072480277555 |
| 30 | 8.1 | 8.14812427289252 | -0.0481242728925224 |
| 31 | 8.16 | 8.12776857736927 | 0.0322314226307263 |
| 32 | 8.18 | 8.2014018851767 | -0.0214018851766973 |
| 33 | 8.2 | 8.21234927550396 | -0.0123492755039596 |
| 34 | 7.99 | 8.2271257557086 | -0.2371257557086 |
| 35 | 8.01 | 7.91682585726226 | 0.0931741427377437 |
| 36 | 8.02 | 7.97623683152144 | 0.0437631684785611 |
| 37 | 8.03 | 8.00474785889159 | 0.0252521411084086 |
| 38 | 8.04 | 8.02542905706493 | 0.0145709429350696 |
| 39 | 8.07 | 8.04159230193172 | 0.0284076980682801 |
| 40 | 8.08 | 8.08360824352705 | -0.0036082435270508 |
| 41 | 8.08 | 8.09208202188887 | -0.0120820218888671 |
| 42 | 8.1 | 8.08697154553062 | 0.0130284544693779 |
| 43 | 8.11 | 8.11248234572306 | -0.00248234572306139 |
| 44 | 8.15 | 8.12143235845707 | 0.0285676415429279 |
| 45 | 8.16 | 8.17351595324434 | -0.0135159532443403 |
| 46 | 8.17 | 8.17779894990254 | -0.00779894990254171 |
| 47 | 8.18 | 8.18450013539428 | -0.0045001353942844 |
| 48 | 8.15 | 8.19259665965546 | -0.0425966596554588 |
| 49 | 8.15 | 8.1445790443828 | 0.00542095561719869 |
| 50 | 8.17 | 8.1468720103926 | 0.023127989607401 |
| 51 | 8.16 | 8.17665473096615 | -0.0166547309661542 |
| 52 | 8.15 | 8.15961008151606 | -0.00961008151605647 |
| 53 | 8.16 | 8.14554519114917 | 0.0144548088508341 |
| 54 | 8.15 | 8.16165931340243 | -0.0116593134024292 |
| 55 | 8.18 | 8.14672763507536 | 0.0332723649246383 |
| 56 | 8.19 | 8.19080124261343 | -0.00080124261343073 |
| 57 | 8.18 | 8.20046233150477 | -0.0204623315047741 |
| 58 | 8.2 | 8.18180713601253 | 0.0181928639874691 |
| 59 | 8.21 | 8.20950238786292 | 0.000497612137083436 |
| 60 | 8.22 | 8.21971286878122 | 0.000287131218776437 |
| 61 | 8.23 | 8.22983432008455 | 0.000165679915445693 |
| 62 | 8.25 | 8.23990439968702 | 0.0100956003129831 |
| 63 | 8.28 | 8.26417465570843 | 0.015825344291569 |
| 64 | 8.28 | 8.30086848962191 | -0.0208684896219147 |
| 65 | 8.29 | 8.29204149660485 | -0.00204149660484809 |
| 66 | 8.3 | 8.30117798052861 | -0.00117798052860607 |
| 67 | 8.34 | 8.31067971610753 | 0.0293202838924707 |
| 68 | 8.38 | 8.36308166497236 | 0.0169183350276398 |
| 69 | 8.39 | 8.41023781416452 | -0.020237814164517 |
| 70 | 8.44 | 8.41167758543942 | 0.0283224145605789 |
| 71 | 8.46 | 8.47365745365615 | -0.0136574536561476 |
| 72 | 8.46 | 8.48788059820384 | -0.0278805982038435 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 8.47608761030124 | 8.39229361556746 | 8.55988160503501 |
| 74 | 8.49217522060247 | 8.34643924038517 | 8.63791120081976 |
| 75 | 8.5082628309037 | 8.29574203649246 | 8.72078362531494 |
| 76 | 8.52435044120493 | 8.23919744566895 | 8.80950343674092 |
| 77 | 8.54043805150617 | 8.17685468379581 | 8.90402141921653 |
| 78 | 8.5565256618074 | 8.10895505037005 | 9.00409627324475 |
| 79 | 8.57261327210863 | 8.03576650381124 | 9.10946004040603 |
| 80 | 8.58870088240987 | 7.95754295650675 | 9.21985880831298 |
| 81 | 8.6047884927111 | 7.87451488813053 | 9.33506209729168 |
| 82 | 8.62087610301233 | 7.78688896647511 | 9.45486323954955 |
| 83 | 8.63696371331357 | 7.69485023424351 | 9.57907719238363 |
| 84 | 8.6530513236148 | 7.59856481868325 | 9.70753782854635 |
