Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.695609831924305 |
beta | 0.192899249118502 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 20.29 | 19.9091452991453 | 0.380854700854695 |
14 | 19.36 | 19.3203184269002 | 0.0396815730998128 |
15 | 18.74 | 18.7824094164835 | -0.0424094164834621 |
16 | 18.87 | 18.9025398335607 | -0.0325398335606586 |
17 | 18.87 | 18.9222526829546 | -0.0522526829546059 |
18 | 18.91 | 18.9762416788941 | -0.0662416788940554 |
19 | 19.31 | 19.6811946434058 | -0.371194643405786 |
20 | 20.06 | 20.1787947932114 | -0.1187947932114 |
21 | 20.72 | 19.9518598978085 | 0.768140102191516 |
22 | 20.42 | 20.2774566829528 | 0.142543317047217 |
23 | 20.58 | 21.2249256951235 | -0.64492569512349 |
24 | 20.58 | 20.5497523709856 | 0.0302476290143971 |
25 | 21.18 | 21.1942233817129 | -0.014223381712867 |
26 | 19.87 | 20.1781565508284 | -0.308156550828354 |
27 | 19.83 | 19.2780563882378 | 0.551943611762191 |
28 | 19.48 | 19.7991368193888 | -0.319136819388788 |
29 | 19.49 | 19.5595412572912 | -0.0695412572911849 |
30 | 19.4 | 19.5409778792063 | -0.140977879206304 |
31 | 19.89 | 20.0348224662091 | -0.14482246620905 |
32 | 20.44 | 20.730796113853 | -0.290796113853016 |
33 | 20.07 | 20.5951888366155 | -0.525188836615502 |
34 | 19.75 | 19.5981646933553 | 0.151835306644681 |
35 | 19.54 | 20.0811032112545 | -0.541103211254548 |
36 | 19.07 | 19.4663008529649 | -0.396300852964945 |
37 | 19.55 | 19.5259235206653 | 0.0240764793347061 |
38 | 18.01 | 18.1775667716779 | -0.167566771677862 |
39 | 17.5 | 17.3864716676308 | 0.11352833236921 |
40 | 17.41 | 17.0280134856507 | 0.381986514349315 |
41 | 17.47 | 17.1367548893547 | 0.333245110645287 |
42 | 17.6 | 17.2153302378211 | 0.384669762178905 |
43 | 17.64 | 17.9828841867158 | -0.342884186715782 |
44 | 18.3 | 18.379308720565 | -0.0793087205650096 |
45 | 18.27 | 18.2305027539218 | 0.0394972460782448 |
46 | 17.99 | 17.8191657900757 | 0.170834209924337 |
47 | 18.04 | 18.0937522780558 | -0.0537522780558497 |
48 | 17.62 | 17.9167822750451 | -0.296782275045103 |
49 | 18.22 | 18.2416932741628 | -0.0216932741628391 |
50 | 17.67 | 16.8651263113966 | 0.80487368860344 |
51 | 17.73 | 17.0284795397638 | 0.701520460236157 |
52 | 17.99 | 17.4320954163519 | 0.557904583648057 |
53 | 18.15 | 17.9433208232369 | 0.206679176763092 |
54 | 18.41 | 18.2274759427767 | 0.182524057223262 |
55 | 18.36 | 18.8837977646279 | -0.52379776462795 |
56 | 19.52 | 19.4611740401493 | 0.0588259598506973 |
57 | 19.96 | 19.6897217807799 | 0.270278219220135 |
58 | 19.6 | 19.7549653029611 | -0.154965302961088 |
59 | 19.48 | 19.9669131889445 | -0.486913188944467 |
60 | 19.13 | 19.5888862536923 | -0.458886253692324 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 20.0372489808559 | 19.3513629261553 | 20.7231350355564 |
62 | 19.0827602520177 | 18.1914895238452 | 19.9740309801902 |
63 | 18.7021649893089 | 17.5924269104308 | 19.811903068187 |
64 | 18.5273384930655 | 17.1861280446782 | 19.8685489414528 |
65 | 18.4219667475326 | 16.8366325213403 | 20.0073009737249 |
66 | 18.4056647883923 | 16.5639871462088 | 20.2473424305758 |
67 | 18.5461956778713 | 16.4363943217729 | 20.6559970339696 |
68 | 19.5617323296906 | 17.1724477525524 | 21.9510169068289 |
69 | 19.702287289831 | 17.0225533233386 | 22.3820212563234 |
70 | 19.3023791869309 | 16.3215936709221 | 22.2831647029396 |
71 | 19.3941709466778 | 16.1020673968544 | 22.6862744965012 |
72 | 19.3018021793138 | 15.6884235511464 | 22.9151808074811 |