Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.86146509347809 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.2613 | 1.21500972222222 | 0.0462902777777783 |
14 | 1.2646 | 1.25828755948306 | 0.00631244051693902 |
15 | 1.2262 | 1.22500088543094 | 0.00119911456906041 |
16 | 1.1985 | 1.19900509289648 | -0.000505092896478043 |
17 | 1.2007 | 1.20022035178508 | 0.000479648214922523 |
18 | 1.2138 | 1.21183393076726 | 0.00196606923273923 |
19 | 1.2266 | 1.24453634290384 | -0.0179363429038391 |
20 | 1.2176 | 1.19783102170874 | 0.0197689782912598 |
21 | 1.2218 | 1.21744085189493 | 0.00435914810506777 |
22 | 1.249 | 1.26554231794596 | -0.0165423179459612 |
23 | 1.2991 | 1.25392956725818 | 0.0451704327418216 |
24 | 1.3408 | 1.35563853044377 | -0.014838530443769 |
25 | 1.3119 | 1.38441051918731 | -0.0725105191873137 |
26 | 1.3014 | 1.31980729083747 | -0.0184072908374699 |
27 | 1.3201 | 1.26451705697116 | 0.0555829430288362 |
28 | 1.2938 | 1.28513494208257 | 0.00866505791743299 |
29 | 1.2694 | 1.2943863868171 | -0.024986386817097 |
30 | 1.2165 | 1.28426778674666 | -0.0677677867466608 |
31 | 1.2037 | 1.25413973731846 | -0.050439737318456 |
32 | 1.2292 | 1.18465737956276 | 0.0445426204372443 |
33 | 1.2256 | 1.22347403831167 | 0.00212596168833157 |
34 | 1.2015 | 1.2667561095719 | -0.0652561095718995 |
35 | 1.1786 | 1.22172749797515 | -0.0431274979751475 |
36 | 1.1856 | 1.23905753991633 | -0.0534575399163302 |
37 | 1.2103 | 1.22657101648504 | -0.0162710164850444 |
38 | 1.1938 | 1.21791134226975 | -0.0241113422697514 |
39 | 1.202 | 1.16795749733533 | 0.0340425026646656 |
40 | 1.2271 | 1.16351928014674 | 0.0635807198532559 |
41 | 1.277 | 1.2154167509736 | 0.0615832490263963 |
42 | 1.265 | 1.27394815309733 | -0.00894815309732788 |
43 | 1.2684 | 1.29689170457694 | -0.028491704576936 |
44 | 1.2811 | 1.25947518295149 | 0.0216248170485138 |
45 | 1.2727 | 1.27267276620706 | 2.72337929385635e-05 |
46 | 1.2611 | 1.30481208770141 | -0.0437120877014137 |
47 | 1.2881 | 1.28140848405823 | 0.00669151594177042 |
48 | 1.3213 | 1.34022479608565 | -0.0189247960856469 |
49 | 1.2999 | 1.36263865759394 | -0.0627386575939433 |
50 | 1.3074 | 1.31286257378738 | -0.0054625737873808 |
51 | 1.3242 | 1.28703032940876 | 0.0371696705912405 |
52 | 1.3516 | 1.2893781323874 | 0.0622218676125967 |
53 | 1.3511 | 1.33982828000746 | 0.011271719992539 |
54 | 1.3419 | 1.34524699486894 | -0.00334699486893819 |
55 | 1.3716 | 1.37030828456802 | 0.00129171543198181 |
56 | 1.3622 | 1.36549202728323 | -0.00329202728323263 |
57 | 1.3896 | 1.35423259972997 | 0.0353674002700293 |
58 | 1.4227 | 1.41075681822749 | 0.0119431817725106 |
59 | 1.4684 | 1.44228094502328 | 0.0261190549767163 |
60 | 1.457 | 1.51428465038934 | -0.0572846503893354 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1.49758308721568 | 1.4270117640726 | 1.56815441035877 |
62 | 1.50978890385406 | 1.41664218610779 | 1.60293562160033 |
63 | 1.49456853010363 | 1.38333764229075 | 1.60579941791651 |
64 | 1.46836656310436 | 1.34160572616968 | 1.59512740003904 |
65 | 1.45815636978733 | 1.31757077608329 | 1.59874196349137 |
66 | 1.45183968903497 | 1.29867210586589 | 1.60500727220405 |
67 | 1.48042692127961 | 1.31563521059429 | 1.64521863196493 |
68 | 1.47386288787089 | 1.29821463912547 | 1.64951113661631 |
69 | 1.47079510709119 | 1.28492335920015 | 1.65666685498224 |
70 | 1.49360647288911 | 1.29804495816597 | 1.68916798761225 |
71 | 1.51680581875204 | 1.31201249508755 | 1.72159914241652 |
72 | 1.55475454545455 | 1.34112799093876 | 1.76838109997033 |