Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.820021630071807 |
beta | 0.0124549900483784 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 5.3 | 3.73292763910406 | 1.56707236089594 |
14 | 4.8 | 4.57239701206725 | 0.227602987932749 |
15 | 5.2 | 5.31740170245888 | -0.117401702458880 |
16 | 6.9 | 7.22803758291348 | -0.328037582913476 |
17 | 7.9 | 8.40531663987926 | -0.505316639879263 |
18 | 8.5 | 8.91765786392155 | -0.417657863921553 |
19 | 8.5 | 7.19264565476748 | 1.30735434523252 |
20 | 7.3 | 10.6969905864318 | -3.39699058643176 |
21 | 6 | 8.22562870564466 | -2.22562870564466 |
22 | 5.5 | 6.10724824393515 | -0.607248243935146 |
23 | 5 | 5.95263181263204 | -0.952631812632037 |
24 | 6.1 | 3.15590755404842 | 2.94409244595158 |
25 | 7 | 6.04829829088482 | 0.951701709115175 |
26 | 8 | 5.9066666151345 | 2.0933333848655 |
27 | 9.1 | 8.35284045956972 | 0.747159540430284 |
28 | 8.5 | 12.2673081415784 | -3.76730814157836 |
29 | 8.2 | 10.9901444438420 | -2.79014444384196 |
30 | 7.3 | 9.69418385154293 | -2.39418385154293 |
31 | 6.7 | 6.70952034611903 | -0.00952034611902786 |
32 | 5.8 | 7.77345370352174 | -1.97345370352174 |
33 | 5.4 | 6.48727200764192 | -1.08727200764192 |
34 | 4.5 | 5.56251418522646 | -1.06251418522646 |
35 | 3.6 | 4.8941900750896 | -1.29419007508960 |
36 | 4.8 | 2.64497577929337 | 2.15502422070663 |
37 | 4.7 | 4.48273395607310 | 0.217266043926896 |
38 | 5.9 | 4.12870746442437 | 1.77129253557563 |
39 | 6 | 5.9146042938627 | 0.0853957061372999 |
40 | 5.1 | 7.47383608329303 | -2.37383608329303 |
41 | 4.9 | 6.73722891691531 | -1.83722891691531 |
42 | 4.4 | 5.84340219746708 | -1.44340219746708 |
43 | 4.7 | 4.28554883924812 | 0.414451160751877 |
44 | 6.1 | 5.05735776332154 | 1.04264223667846 |
45 | 6.8 | 6.35993123764327 | 0.440068762356727 |
46 | 7.9 | 6.60581187795053 | 1.29418812204947 |
47 | 7.5 | 7.76913639712451 | -0.269136397124512 |
48 | 6 | 5.96689793774982 | 0.0331020622501805 |
49 | 6 | 5.62003486386809 | 0.379965136131913 |
50 | 5.5 | 5.48549259108263 | 0.0145074089173711 |
51 | 6.5 | 5.5147676087717 | 0.985232391228305 |
52 | 7.1 | 7.25070035191592 | -0.150700351915923 |
53 | 6.7 | 8.78485631735195 | -2.08485631735195 |
54 | 6.8 | 7.92663060946345 | -1.12663060946345 |
55 | 6.5 | 6.8853304602473 | -0.385330460247297 |
56 | 7 | 7.2538735871291 | -0.253873587129096 |
57 | 7.2 | 7.40396259798497 | -0.203962597984967 |
58 | 6.8 | 7.22009198265402 | -0.420091982654015 |
59 | 6.4 | 6.70419509902575 | -0.304195099025745 |
60 | 6 | 5.12980538560133 | 0.870194614398671 |
61 | 5.8 | 5.52348139150207 | 0.276518608497926 |
62 | 5.1 | 5.24850864902505 | -0.148508649025052 |
63 | 2.5 | 5.27413106632128 | -2.77413106632128 |
64 | 0.3 | 3.33308215302075 | -3.03308215302075 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
65 | 1.00036988744781 | -1.90633195259738 | 3.90707172749301 |
66 | 1.15872781150093 | -2.82777405782689 | 5.14522968082874 |
67 | 1.16955537973946 | -3.46924919376889 | 5.80835995324781 |
68 | 1.30582134192355 | -4.29045125796987 | 6.90209394181696 |
69 | 1.38328711931787 | -4.92719259338021 | 7.69376683201596 |
70 | 1.38054243745398 | -5.29928912176153 | 8.06037399666948 |
71 | 1.35752240873118 | -5.58089569671114 | 8.2959405141735 |
72 | 1.12348725627180 | -5.1178705564068 | 7.3648450689504 |
73 | 1.04920100662204 | -5.23190454271158 | 7.33030655595566 |
74 | 0.949811950078959 | -5.21504560388881 | 7.11466950404673 |
75 | 0.823146115435996 | -5.0495207359751 | 6.6958129668471 |
76 | 0.390666440950698 | -30.6512525257845 | 31.4325854076859 |