| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.770019236878996 |
| beta | 0.0459442665820473 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 3.59 | 4.00846955128205 | -0.418469551282054 |
| 14 | 3.57 | 3.66284997093498 | -0.0928499709349788 |
| 15 | 3.76 | 3.77176222129098 | -0.0117622212909771 |
| 16 | 3.6 | 3.58478080858013 | 0.0152191914198729 |
| 17 | 3.43 | 3.3836973601118 | 0.0463026398881983 |
| 18 | 3.26 | 3.19110352494215 | 0.0688964750578451 |
| 19 | 3.3 | 3.55709479485318 | -0.257094794853185 |
| 20 | 3.31 | 3.16463769083862 | 0.145362309161376 |
| 21 | 3.14 | 3.16222292221461 | -0.0222229222146098 |
| 22 | 3.3 | 2.96872809975901 | 0.331271900240985 |
| 23 | 3.49 | 3.08665081777928 | 0.403349182220716 |
| 24 | 3.39 | 3.23684410436798 | 0.153155895632024 |
| 25 | 3.37 | 3.22647881180731 | 0.143521188192688 |
| 26 | 3.54 | 3.42114828365876 | 0.118851716341236 |
| 27 | 3.7 | 3.75187223626913 | -0.0518722362691264 |
| 28 | 3.96 | 3.57894024347777 | 0.381059756522229 |
| 29 | 4.03 | 3.71838205633193 | 0.311617943668066 |
| 30 | 4.02 | 3.79634096634602 | 0.223659033653977 |
| 31 | 4.04 | 4.27306455749515 | -0.233064557495147 |
| 32 | 3.92 | 4.0590526264077 | -0.139052626407704 |
| 33 | 3.79 | 3.85641351993006 | -0.0664135199300588 |
| 34 | 3.83 | 3.76594673576181 | 0.0640532642381868 |
| 35 | 3.76 | 3.74098733886507 | 0.0190126611349264 |
| 36 | 3.82 | 3.57040240918538 | 0.249597590814619 |
| 37 | 4.06 | 3.66820313247483 | 0.391796867525171 |
| 38 | 4.11 | 4.09327949150078 | 0.0167205084992190 |
| 39 | 4.01 | 4.34738737176980 | -0.337387371769804 |
| 40 | 4.22 | 4.08535846395236 | 0.134641536047645 |
| 41 | 4.34 | 4.04155465107101 | 0.298445348928992 |
| 42 | 4.64 | 4.11114695829864 | 0.528853041701364 |
| 43 | 4.62 | 4.75064071659109 | -0.130640716591087 |
| 44 | 4.44 | 4.67354414644109 | -0.233544146441088 |
| 45 | 4.39 | 4.44793352835303 | -0.05793352835303 |
| 46 | 4.42 | 4.42738453568961 | -0.00738453568961361 |
| 47 | 4.28 | 4.36791404633415 | -0.087914046334145 |
| 48 | 4.41 | 4.19509660330618 | 0.214903396693819 |
| 49 | 4.25 | 4.32473082800756 | -0.0747308280075609 |
| 50 | 4.23 | 4.31365233738552 | -0.0836523373855202 |
| 51 | 4.23 | 4.41482300521861 | -0.184823005218613 |
| 52 | 4.37 | 4.39001639067437 | -0.0200163906743729 |
| 53 | 4.51 | 4.27051046934986 | 0.239489530650142 |
| 54 | 4.84 | 4.3513250066527 | 0.488674993347297 |
| 55 | 4.85 | 4.8104186065169 | 0.0395813934831004 |
| 56 | 4.58 | 4.84896122840081 | -0.268961228400814 |
| 57 | 4.56 | 4.6434435574781 | -0.0834435574781 |
| 58 | 4.46 | 4.62095187216924 | -0.160951872169243 |
| 59 | 4.26 | 4.42535366537929 | -0.165353665379286 |
| 60 | 3.87 | 4.26045108029768 | -0.39045108029768 |
| 61 | 4.13 | 3.83382686825878 | 0.296173131741222 |
| 62 | 4.24 | 4.09590807066401 | 0.144091929335993 |
| 63 | 4.03 | 4.34684431171796 | -0.316844311717957 |
| 64 | 3.93 | 4.25127587092082 | -0.321275870920824 |
| 65 | 4.03 | 3.94181254420326 | 0.0881874557967421 |
| 66 | 4.12 | 3.94041349589949 | 0.179586504100506 |
| 67 | 3.92 | 4.02426926105732 | -0.104269261057318 |
| 68 | 3.77 | 3.84204523678205 | -0.0720452367820461 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 69 | 3.79874864356221 | 3.35663752519815 | 4.24085976192627 |
| 70 | 3.79356322551774 | 3.22589105872594 | 4.36123539230953 |
| 71 | 3.69746142328074 | 3.01891554202909 | 4.37600730453238 |
| 72 | 3.59053883756575 | 2.80921304484179 | 4.3718646302897 |
| 73 | 3.61871576632481 | 2.73958129734942 | 4.49785023530021 |
| 74 | 3.60352014260283 | 2.62979736130801 | 4.57724292389766 |
| 75 | 3.61815661164457 | 2.55197876693690 | 4.68433445635223 |
| 76 | 3.75741477478896 | 2.60019218552895 | 4.91463736404897 |
| 77 | 3.79274438739595 | 2.54538232696154 | 5.04010644783036 |
| 78 | 3.74457508149109 | 2.40761268708644 | 5.08153747589573 |
| 79 | 3.61862676946526 | 2.19233002433441 | 5.04492351459612 |
| 80 | 3.52155417355281 | 2.00598059417063 | 5.03712775293499 |
