| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 0.668258580403658 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 7.8 | 7.53561935176154 | 0.264380648238461 |
| 14 | 7.8 | 7.838265199013 | -0.0382651990129999 |
| 15 | 7.8 | 7.85558974755393 | -0.0555897475539346 |
| 16 | 7.5 | 7.53297162445567 | -0.0329716244556737 |
| 17 | 7.5 | 7.50408923805517 | -0.0040892380551707 |
| 18 | 7.1 | 7.09218930660449 | 0.00781069339551177 |
| 19 | 7.5 | 7.726775108697 | -0.226775108697007 |
| 20 | 7.5 | 7.93452869210363 | -0.434528692103629 |
| 21 | 7.6 | 7.60303279772518 | -0.00303279772517673 |
| 22 | 7.7 | 7.19740015671231 | 0.50259984328769 |
| 23 | 7.7 | 7.44227605124198 | 0.257723948758016 |
| 24 | 7.9 | 7.75127791758613 | 0.148722082413871 |
| 25 | 8.1 | 8.10295103420125 | -0.00295103420124754 |
| 26 | 8.2 | 8.13924719573968 | 0.0607528042603231 |
| 27 | 8.2 | 8.2577839329626 | -0.057783932962602 |
| 28 | 8.2 | 7.91864480715856 | 0.281355192841441 |
| 29 | 7.9 | 8.20332000728594 | -0.303320007285938 |
| 30 | 7.3 | 7.46981853034878 | -0.169818530348782 |
| 31 | 6.9 | 7.94407445538895 | -1.04407445538895 |
| 32 | 6.6 | 7.30083508308107 | -0.700835083081073 |
| 33 | 6.7 | 6.69229102416132 | 0.00770897583868368 |
| 34 | 6.9 | 6.34658977894686 | 0.553410221053142 |
| 35 | 7 | 6.67033370787107 | 0.32966629212893 |
| 36 | 7.1 | 7.04774294937541 | 0.0522570506245881 |
| 37 | 7.2 | 7.2836842702277 | -0.0836842702276916 |
| 38 | 7.1 | 7.23630120555964 | -0.136301205559645 |
| 39 | 6.9 | 7.15174992308877 | -0.251749923088767 |
| 40 | 7 | 6.66520696337418 | 0.334793036625819 |
| 41 | 6.8 | 7.00463868860462 | -0.204638688604619 |
| 42 | 6.4 | 6.43133816505198 | -0.0313381650519773 |
| 43 | 6.7 | 6.96622739527521 | -0.266227395275208 |
| 44 | 6.6 | 7.08960388007355 | -0.489603880073554 |
| 45 | 6.4 | 6.69229102416132 | -0.292291024161316 |
| 46 | 6.3 | 6.06298631969171 | 0.237013680308293 |
| 47 | 6.2 | 6.09137695034288 | 0.108623049657117 |
| 48 | 6.5 | 6.24370298570602 | 0.256297014293979 |
| 49 | 6.8 | 6.66923419724753 | 0.130765802752474 |
| 50 | 6.8 | 6.83499187659074 | -0.0349918765907411 |
| 51 | 6.4 | 6.85010428403227 | -0.450104284032268 |
| 52 | 6.1 | 6.18311548499557 | -0.0831154849955738 |
| 53 | 5.8 | 6.10562769959363 | -0.305627699593630 |
| 54 | 6.1 | 5.48726510569125 | 0.612734894308752 |
| 55 | 7.2 | 6.6402783752373 | 0.559721624762706 |
| 56 | 7.3 | 7.61768188759235 | -0.317681887592351 |
| 57 | 6.9 | 7.40064573693321 | -0.500645736933206 |
| 58 | 6.1 | 6.53565875178363 | -0.435658751783627 |
| 59 | 5.8 | 5.89839136450015 | -0.098391364500154 |
| 60 | 6.2 | 5.84168300387132 | 0.358316996128676 |
| 61 | 7.1 | 6.36200916075744 | 0.737990839242557 |
| 62 | 7.7 | 7.13597387331742 | 0.564026126682581 |
| 63 | 7.9 | 7.75504120120177 | 0.144958798798232 |
| 64 | 7.7 | 7.6293899201314 | 0.0706100798686062 |
| 65 | 7.4 | 7.70386945783539 | -0.303869457835389 |
| 66 | 7.5 | 6.99778200066842 | 0.502217999331584 |
| 67 | 8 | 8.1613738020809 | -0.161373802080893 |
| 68 | 8.1 | 8.46260669962242 | -0.362606699622425 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 69 | 8.21019398010108 | 7.5258390960881 | 8.89454886411406 |
| 70 | 7.77424390195676 | 6.83249675503644 | 8.71599104887708 |
| 71 | 7.51391606581386 | 6.37632640484586 | 8.65150572678187 |
| 72 | 7.56425426798303 | 6.23175464610015 | 8.8967538898659 |
| 73 | 7.7591193849669 | 6.23253833444812 | 9.28570043548569 |
| 74 | 7.79725076854608 | 6.11973090054358 | 9.47477063654858 |
| 75 | 7.85282543529116 | 6.03255837254869 | 9.67309249803363 |
| 76 | 7.58390500884669 | 5.7001284848726 | 9.46768153282078 |
| 77 | 7.58790204359543 | 5.5856131700397 | 9.59019091715117 |
| 78 | 7.17517525782569 | 5.16480163691102 | 9.18554887874037 |
| 79 | 7.80845278076161 | 5.51948959740797 | 10.0974159641153 |
| 80 | 8.26030295186008 | -49.0911171148197 | 65.6117230185399 |
