| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.95488598009163 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 15.75 | 15.4694177350427 | 0.280582264957271 |
| 14 | 15.86 | 15.8470183795394 | 0.0129816204606428 |
| 15 | 15.89 | 15.8915909203427 | -0.00159092034266983 |
| 16 | 15.94 | 15.9418316795719 | -0.00183167957191621 |
| 17 | 15.93 | 15.9335092078552 | -0.003509207855247 |
| 18 | 15.95 | 15.9565015545663 | -0.00650155456628454 |
| 19 | 15.99 | 15.955803218022 | 0.0341967819779541 |
| 20 | 15.99 | 16.042717152457 | -0.052717152456955 |
| 21 | 16.06 | 16.0591381894254 | 0.00086181057463719 |
| 22 | 16.08 | 16.0679710270205 | 0.0120289729795111 |
| 23 | 16.07 | 16.1187172314334 | -0.0487172314334288 |
| 24 | 16.11 | 16.1327077369087 | -0.0227077369086786 |
| 25 | 16.15 | 16.2221092046088 | -0.0721092046087612 |
| 26 | 16.18 | 16.2508571687156 | -0.0708571687155555 |
| 27 | 16.3 | 16.2147157992507 | 0.0852842007492605 |
| 28 | 16.42 | 16.3479015320128 | 0.0720984679872316 |
| 29 | 16.49 | 16.4100982416621 | 0.0799017583379289 |
| 30 | 16.5 | 16.5126035537878 | -0.0126035537877733 |
| 31 | 16.58 | 16.5079145693015 | 0.0720854306985004 |
| 32 | 16.64 | 16.6270868062359 | 0.0129131937641418 |
| 33 | 16.66 | 16.7085945030842 | -0.0485945030842281 |
| 34 | 16.81 | 16.6707059957265 | 0.139294004273456 |
| 35 | 16.91 | 16.8402352888027 | 0.0697647111972515 |
| 36 | 16.92 | 16.9685359330438 | -0.0485359330438477 |
| 37 | 16.95 | 17.0310457195661 | -0.0810457195660774 |
| 38 | 17.11 | 17.0513168152015 | 0.0586831847985323 |
| 39 | 17.16 | 17.1459158780139 | 0.0140841219860732 |
| 40 | 17.16 | 17.2105187923732 | -0.0505187923732358 |
| 41 | 17.27 | 17.1559820369833 | 0.114017963016689 |
| 42 | 17.34 | 17.2868911481578 | 0.0531088518421683 |
| 43 | 17.39 | 17.3487706790578 | 0.0412293209421826 |
| 44 | 17.43 | 17.4358093519106 | -0.00580935191062437 |
| 45 | 17.45 | 17.4966642929224 | -0.0466642929224008 |
| 46 | 17.5 | 17.4690953220484 | 0.0309046779516358 |
| 47 | 17.56 | 17.5319884211162 | 0.0280115788837634 |
| 48 | 17.65 | 17.6150825670668 | 0.0349174329331881 |
| 49 | 17.62 | 17.7558141555956 | -0.135814155595583 |
| 50 | 17.7 | 17.7300913720881 | -0.0300913720881333 |
| 51 | 17.72 | 17.7379088121331 | -0.0179088121330544 |
| 52 | 17.71 | 17.7690476250755 | -0.0590476250754648 |
| 53 | 17.74 | 17.71378972137 | 0.0262102786300424 |
| 54 | 17.75 | 17.7581046509252 | -0.00810465092522961 |
| 55 | 17.78 | 17.7609963328468 | 0.0190036671531999 |
| 56 | 17.8 | 17.8246899368746 | -0.0246899368745908 |
| 57 | 17.86 | 17.8656729413862 | -0.00567294138618735 |
| 58 | 17.88 | 17.8807454854954 | -0.000745485495372122 |
| 59 | 17.89 | 17.9132857678911 | -0.0232857678911387 |
| 60 | 17.94 | 17.9477083474275 | -0.00770834742753124 |
| 61 | 17.98 | 18.0400347876155 | -0.0600347876155141 |
| 62 | 18.1 | 18.0914422399324 | 0.00855776006764231 |
| 63 | 18.14 | 18.1367147986679 | 0.00328520133211185 |
| 64 | 18.19 | 18.186235540704 | 0.00376445929603264 |
| 65 | 18.23 | 18.1948023425103 | 0.0351976574897499 |
| 66 | 18.24 | 18.2461511097213 | -0.00615110972132271 |
| 67 | 18.27 | 18.2521311659515 | 0.0178688340484925 |
| 68 | 18.3 | 18.3127699396359 | -0.0127699396358878 |
| 69 | 18.34 | 18.3659931155065 | -0.0259931155065125 |
| 70 | 18.36 | 18.3618845075783 | -0.00188450757833536 |
| 71 | 18.36 | 18.3923202710073 | -0.0323202710073254 |
| 72 | 18.4 | 18.4188186902379 | -0.0188186902378966 |
| 73 | 18.43 | 18.4981753637779 | -0.0681753637778719 |
| 74 | 18.47 | 18.5449039796092 | -0.0749039796091573 |
| 75 | 18.56 | 18.5102422269335 | 0.04975777306651 |
| 76 | 18.58 | 18.6041605974309 | -0.0241605974308747 |
| 77 | 18.61 | 18.5874802320045 | 0.0225197679955365 |
| 78 | 18.61 | 18.6248576511732 | -0.0148576511732124 |
| 79 | 18.69 | 18.6236075892573 | 0.0663924107426688 |
| 80 | 18.74 | 18.7291986077849 | 0.0108013922150789 |
| 81 | 18.75 | 18.8043331673526 | -0.0543331673526382 |
| 82 | 18.81 | 18.7742506774596 | 0.0357493225404397 |
| 83 | 18.85 | 18.8392493780089 | 0.0107506219911464 |
| 84 | 18.88 | 18.9074846996973 | -0.0274846996973217 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 18.9763396443485 | 18.8621845829673 | 19.0904947057297 |
| 86 | 19.0878644043303 | 18.9300243497923 | 19.2457044588683 |
| 87 | 19.1303514044285 | 18.9385296444685 | 19.3221731643886 |
| 88 | 19.1734220201859 | 18.9527918038243 | 19.3940522365475 |
| 89 | 19.181918209452 | 18.9358292069562 | 19.4280072119479 |
| 90 | 19.1961055722544 | 18.9269552389331 | 19.4652559055758 |
| 91 | 19.2127083900518 | 18.9223224284341 | 19.5030943516694 |
| 92 | 19.2523942920601 | 18.9422231917264 | 19.5625653923939 |
| 93 | 19.3142762718191 | 18.9855085479473 | 19.6430439956909 |
| 94 | 19.3401397449275 | 18.9937724239553 | 19.6865070658997 |
| 95 | 19.3698741267109 | 19.0067592333024 | 19.7329890201194 |
| 96 | 19.4261188811189 | 19.0469955099154 | 19.8052422523224 |
