| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0252584287655884 |
| gamma | 0.160169143914703 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 108.62 | 106.501159188034 | 2.11884081196575 |
| 14 | 108.62 | 108.716653787850 | -0.0966537878498599 |
| 15 | 110.1 | 110.237129131701 | -0.137129131701201 |
| 16 | 110.74 | 110.883665465296 | -0.143665465296408 |
| 17 | 110.77 | 110.911286701375 | -0.141286701375165 |
| 18 | 110.77 | 110.908134687960 | -0.138134687959607 |
| 19 | 110.78 | 110.765895622784 | 0.0141043772162561 |
| 20 | 110.78 | 111.697501877191 | -0.917501877190944 |
| 21 | 110.78 | 111.022660554717 | -0.242660554716934 |
| 22 | 110.84 | 110.788197997048 | 0.0518020029519022 |
| 23 | 110.84 | 110.751589767583 | 0.0884102324170897 |
| 24 | 110.84 | 110.747989537807 | 0.092010462192789 |
| 25 | 110.84 | 110.809480244179 | 0.0305197558211461 |
| 26 | 110.84 | 110.897751125257 | -0.0577511252572123 |
| 27 | 111.01 | 112.419209089240 | -1.40920908924043 |
| 28 | 112.66 | 111.723614681844 | 0.93638531815597 |
| 29 | 114.04 | 112.788516303700 | 1.25148369630018 |
| 30 | 114.16 | 114.170543482161 | -0.0105434821607844 |
| 31 | 114.2 | 114.151527170368 | 0.0484728296323169 |
| 32 | 114.2 | 115.114001517882 | -0.914001517882028 |
| 33 | 114.23 | 114.439248608984 | -0.209248608984282 |
| 34 | 114.23 | 114.235629984567 | -0.00562998456663877 |
| 35 | 114.23 | 114.137571113336 | 0.0924288866641518 |
| 36 | 114.23 | 114.134072388452 | 0.0959276115478076 |
| 37 | 114.23 | 114.195662035862 | 0.0343379641382313 |
| 38 | 114.23 | 114.284029358883 | -0.0540293588829286 |
| 39 | 115.97 | 115.805581328837 | 0.164418671162991 |
| 40 | 116.96 | 116.719734286130 | 0.240265713869704 |
| 41 | 117.08 | 117.107053020549 | -0.027053020548891 |
| 42 | 117.08 | 117.196786370423 | -0.116786370423114 |
| 43 | 117.08 | 117.055086530205 | 0.0249134697949813 |
| 44 | 117.63 | 117.976965805307 | -0.34696580530715 |
| 45 | 119.12 | 117.866535327563 | 1.25346467243699 |
| 46 | 119.47 | 119.159862542369 | 0.310137457631356 |
| 47 | 119.5 | 119.419779460583 | 0.0802205394169135 |
| 48 | 119.52 | 119.445972372030 | 0.0740276279698548 |
| 49 | 119.49 | 119.527008860265 | -0.0370088602645495 |
| 50 | 119.49 | 119.583574074604 | -0.093574074603879 |
| 51 | 119.5 | 121.104127207173 | -1.60412720717285 |
| 52 | 119.5 | 120.243609474380 | -0.743609474379525 |
| 53 | 119.56 | 119.616077067442 | -0.0560770674415068 |
| 54 | 122.35 | 119.645077315495 | 2.70492268450519 |
| 55 | 122.92 | 122.364649412438 | 0.555350587562174 |
| 56 | 122.92 | 123.869926695694 | -0.94992669569369 |
| 57 | 123.04 | 123.194266373251 | -0.154266373251303 |
| 58 | 123.04 | 123.082036513718 | -0.0420365137183012 |
| 59 | 123.04 | 122.983058070764 | 0.056941929235677 |
| 60 | 123.06 | 122.978663001094 | 0.0813369989056554 |
| 61 | 123.33 | 123.059884112554 | 0.270115887446124 |
| 62 | 128.21 | 123.424206815455 | 4.78579318454462 |
| 63 | 129.57 | 129.948005098361 | -0.378005098360745 |
| 64 | 129.79 | 130.468457283511 | -0.678457283510738 |
| 65 | 131.66 | 130.062570518545 | 1.59742948145532 |
| 66 | 135.01 | 131.943335743977 | 3.06666425602324 |
| 67 | 136.01 | 135.232044864635 | 0.777955135364493 |
| 68 | 136.31 | 137.172944789005 | -0.8629447890049 |
| 69 | 136.37 | 136.799481492857 | -0.429481492856524 |
| 70 | 136.4 | 136.620300131830 | -0.220300131829788 |
| 71 | 136.4 | 136.546819029976 | -0.1468190299762 |
| 72 | 136.4 | 136.537277278633 | -0.137277278632808 |
| 73 | 137.34 | 136.592976536936 | 0.747023463064039 |
| 74 | 142.18 | 137.639345175864 | 4.540654824136 |
| 75 | 143.79 | 144.116951648955 | -0.326951648955259 |
| 76 | 144.08 | 144.888693364020 | -0.808693364020257 |
| 77 | 144.08 | 144.549517040292 | -0.469517040292004 |
| 78 | 144.09 | 144.508074444242 | -0.418074444242222 |
| 79 | 144.09 | 144.368764540674 | -0.27876454067362 |
| 80 | 144.11 | 145.282973386381 | -1.17297338638062 |
| 81 | 144.11 | 144.62167925499 | -0.511679254990128 |
| 82 | 144.15 | 144.380421707644 | -0.230421707643842 |
| 83 | 144.15 | 144.316684950689 | -0.166684950688591 |
| 84 | 144.16 | 144.306641417402 | -0.146641417402009 |
| 85 | 144.2 | 144.372104152273 | -0.172104152273107 |
| 86 | 144.38 | 144.495257071803 | -0.115257071802631 |
| 87 | 144.38 | 146.195262525931 | -1.81526252593147 |
| 88 | 144.28 | 145.319411846729 | -1.03941184672937 |
| 89 | 144.46 | 144.584407936641 | -0.124407936640665 |
| 90 | 144.53 | 144.731682254302 | -0.201682254301829 |
| 91 | 144.53 | 144.657838077448 | -0.127838077448274 |
| 92 | 145.34 | 145.575859088475 | -0.235859088475479 |
| 93 | 147.98 | 145.728234991824 | 2.25176500817614 |
| 94 | 150.42 | 148.196777704546 | 2.22322229545358 |
| 95 | 150.53 | 150.595016139859 | -0.0650161398594946 |
| 96 | 150.64 | 150.697540600989 | -0.0575406009889434 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 150.865253882484 | 148.725181116073 | 153.005326648896 |
| 98 | 151.178007764969 | 148.113026924141 | 154.242988605796 |
| 99 | 153.013678314120 | 149.212568977828 | 156.814787650412 |
| 100 | 154.019348863271 | 149.575394633073 | 158.463303093468 |
| 101 | 154.416269412422 | 149.386275132633 | 159.446263692211 |
| 102 | 154.783606628240 | 149.205917518094 | 160.361295738385 |
| 103 | 155.012193844057 | 148.914334127451 | 161.110053560664 |
| 104 | 156.162031059875 | 149.564568043247 | 162.759494076503 |
| 105 | 156.660201609026 | 149.578935121621 | 163.741468096431 |
| 106 | 156.930038824844 | 149.377344774892 | 164.482732874795 |
| 107 | 157.101959373995 | 149.087664697949 | 165.116254050040 |
| 108 | 157.268046589812 | 148.800025914841 | 165.736067264783 |
