Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.597126235287043 |
beta | 0 |
gamma | 0.901410325583061 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 14.2 | 13.4812493346188 | 0.718750665381153 |
14 | 14.6 | 14.2962834091534 | 0.303716590846596 |
15 | 17.2 | 17.0001134024304 | 0.199886597569616 |
16 | 15.4 | 15.3360780794504 | 0.0639219205496122 |
17 | 14.3 | 14.2640249819681 | 0.0359750180319054 |
18 | 17.5 | 17.4257003412120 | 0.0742996587880462 |
19 | 14.5 | 14.9514570741622 | -0.451457074162191 |
20 | 14.4 | 13.0560618632243 | 1.34393813677572 |
21 | 16.6 | 17.033454253127 | -0.433454253127014 |
22 | 16.7 | 17.9212732352252 | -1.22127323522519 |
23 | 16.6 | 15.6003547386059 | 0.999645261394079 |
24 | 16.9 | 17.0655402785585 | -0.165540278558492 |
25 | 15.7 | 16.4074650629215 | -0.707465062921482 |
26 | 16.4 | 16.2315260448530 | 0.168473955147029 |
27 | 18.4 | 19.0948308769003 | -0.694830876900333 |
28 | 16.9 | 16.6765728270487 | 0.223427172951286 |
29 | 16.5 | 15.5752117924012 | 0.924788207598825 |
30 | 18.3 | 19.6653161652278 | -1.36531616522776 |
31 | 15.1 | 15.9178336435388 | -0.81783364353884 |
32 | 15.7 | 14.3570648429723 | 1.34293515702767 |
33 | 18.1 | 17.8212344386997 | 0.278765561300325 |
34 | 16.8 | 18.8869887133395 | -2.08698871333949 |
35 | 18.9 | 16.7925139442958 | 2.10748605570420 |
36 | 19 | 18.5233180659821 | 0.476681934017947 |
37 | 18.1 | 17.9446208974422 | 0.155379102557834 |
38 | 17.8 | 18.6647243046389 | -0.864724304638944 |
39 | 21.5 | 20.8371566701604 | 0.662843329839617 |
40 | 17.1 | 19.2870598574822 | -2.18705985748221 |
41 | 18.7 | 16.9172196603500 | 1.78278033965004 |
42 | 19 | 20.9004375180540 | -1.90043751805396 |
43 | 16.4 | 16.8022581308116 | -0.40225813081161 |
44 | 16.9 | 16.2073823658934 | 0.69261763410659 |
45 | 18.6 | 19.0288496196914 | -0.428849619691373 |
46 | 19.3 | 18.7536861663317 | 0.546313833668307 |
47 | 19.4 | 19.7639881593884 | -0.363988159388381 |
48 | 17.6 | 19.4139860794003 | -1.81398607940025 |
49 | 18.6 | 17.3885821703684 | 1.21141782963165 |
50 | 18.1 | 18.3600001031061 | -0.260000103106115 |
51 | 20.4 | 21.5078361206708 | -1.10783612067084 |
52 | 18.1 | 17.9004122077839 | 0.199587792216132 |
53 | 19.6 | 18.3690053332061 | 1.23099466679392 |
54 | 19.9 | 20.681164758908 | -0.781164758907984 |
55 | 19.2 | 17.6412309618206 | 1.55876903817939 |
56 | 17.8 | 18.5972258934997 | -0.797225893499718 |
57 | 19.2 | 20.2573983934826 | -1.05739839348260 |
58 | 22 | 19.9680947725864 | 2.03190522741363 |
59 | 21.1 | 21.5543092064775 | -0.454309206477525 |
60 | 19.5 | 20.5047320951071 | -1.00473209510708 |
61 | 22.2 | 20.0442219844667 | 2.15577801553334 |
62 | 20.9 | 20.9816621659555 | -0.0816621659554997 |
63 | 22.2 | 24.3564489374252 | -2.15644893742518 |
64 | 23.5 | 20.2628275972412 | 3.23717240275884 |
65 | 21.5 | 23.0318681203166 | -1.53186812031663 |
66 | 24.3 | 23.0485978670448 | 1.25140213295523 |
67 | 22.8 | 21.6791065830458 | 1.12089341695419 |
68 | 20.3 | 21.3494133167639 | -1.04941331676385 |
69 | 23.7 | 23.0593191734165 | 0.640680826583509 |
70 | 23.3 | 25.1425232705637 | -1.84252327056371 |
71 | 19.6 | 23.4451898225841 | -3.84518982258406 |
72 | 18 | 20.1582924440604 | -2.15829244406035 |
73 | 17.3 | 20.0717158947412 | -2.77171589474115 |
74 | 16.8 | 17.4705444768559 | -0.670544476855923 |
75 | 18.2 | 19.2418463363559 | -1.0418463363559 |
76 | 16.5 | 17.8493142704545 | -1.34931427045453 |
77 | 16 | 16.4096486766431 | -0.409648676643094 |
78 | 18.4 | 17.6466439408779 | 0.753356059122133 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
79 | 16.5056129124019 | 14.0406509716108 | 18.970574853193 |
80 | 15.2338185101497 | 12.3972713069801 | 18.0703657133193 |
81 | 17.4746598922364 | 14.0583317215505 | 20.8909880629224 |
82 | 18.0783333296844 | 14.2772779723994 | 21.8793886869694 |
83 | 16.9662120332049 | 13.0451830875728 | 20.887240978837 |
84 | 16.6132143608070 | 12.4810608311121 | 20.7453678905019 |
85 | 17.4405438234093 | 12.9056757733348 | 21.9754118734839 |
86 | 17.2512182130528 | 12.5284549324076 | 21.9739814936979 |
87 | 19.3228837879826 | 13.9342068149707 | 24.7115607609946 |
88 | 18.3559261478736 | 13.0098184152905 | 23.7020338804567 |
89 | 18.0144542672288 | 12.5679813320519 | 23.4609272024057 |
90 | 20.1300023440808 | -0.095618151551303 | 40.3556228397129 |