Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.449384645834359 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 13 | 9 | 4 |
3 | 12 | 10.7975385833374 | 1.20246141666256 |
4 | 5 | 11.3379062811938 | -6.33790628119382 |
5 | 13 | 8.48974851168818 | 4.51025148831182 |
6 | 11 | 10.5165862793871 | 0.483413720612923 |
7 | 8 | 10.7338249830162 | -2.73382498301619 |
8 | 8 | 9.50528601125033 | -1.50528601125033 |
9 | 8 | 8.82883359020519 | -0.828833590205187 |
10 | 8 | 8.45636850081521 | -0.456368500815209 |
11 | 0 | 8.25128350370641 | -8.25128350370641 |
12 | 3 | 4.54328338871442 | -1.54328338871442 |
13 | 0 | 3.84975552965494 | -3.84975552965494 |
14 | -1 | 2.11973450441209 | -3.11973450441209 |
15 | -1 | 0.717773719049633 | -1.71777371904963 |
16 | -4 | -0.0541674153090562 | -3.94583258469094 |
17 | 1 | -1.82736399390207 | 2.82736399390207 |
18 | -1 | -0.556790026857569 | -0.443209973142431 |
19 | 0 | -0.755961783668436 | 0.755961783668436 |
20 | -1 | -0.416244165250286 | -0.583755834749714 |
21 | 6 | -0.678575074303027 | 6.67857507430303 |
22 | 0 | 2.32267402014082 | -2.32267402014082 |
23 | -3 | 1.27889997821117 | -4.27889997821117 |
24 | -3 | -0.643971973057904 | -2.3560280269421 |
25 | 4 | -1.7027347935211 | 5.7027347935211 |
26 | 1 | 0.859986661952655 | 0.140013338047345 |
27 | 0 | 0.922906506283148 | -0.922906506283148 |
28 | -4 | 0.50816649281887 | -4.50816649281887 |
29 | -2 | -1.51773430991886 | -0.482265690081138 |
30 | 3 | -1.73445710625404 | 4.73445710625404 |
31 | 2 | 0.393135223657898 | 1.6068647763421 |
32 | 5 | 1.1152355820781 | 3.8847644179219 |
33 | 6 | 2.86098906417585 | 3.13901093582415 |
34 | 6 | 4.27161238184137 | 1.72838761815863 |
35 | 3 | 5.04832323949208 | -2.04832323949208 |
36 | 4 | 4.12783822595864 | -0.127838225958643 |
37 | 7 | 4.07038969006213 | 2.92961030993787 |
38 | 5 | 5.38691158162624 | -0.386911581626244 |
39 | 6 | 5.21303945754792 | 0.786960542452078 |
40 | 1 | 5.56668744220336 | -4.56668744220336 |
41 | 3 | 3.51448822335259 | -0.514488223352591 |
42 | 6 | 3.28328511531534 | 2.71671488468466 |
43 | 0 | 4.50413507160229 | -4.50413507160229 |
44 | 3 | 2.48004592766018 | 0.519954072339822 |
45 | 4 | 2.71370530430874 | 1.28629469569126 |
46 | 7 | 3.29174639057057 | 3.70825360942943 |
47 | 6 | 4.958178625508 | 1.041821374492 |
48 | 6 | 5.42635715490675 | 0.573642845093248 |
49 | 6 | 5.6841434416844 | 0.315856558315605 |
50 | 6 | 5.82608452927751 | 0.173915470722487 |
51 | 2 | 5.90423947149325 | -3.90423947149325 |
52 | 2 | 4.14973419934373 | -2.14973419934373 |
53 | 2 | 3.18367665753364 | -1.18367665753364 |
54 | 3 | 2.65175054200549 | 0.348249457994513 |
55 | -1 | 2.80824850134836 | -3.80824850134836 |
56 | -4 | 1.0968800973207 | -5.0968800973207 |
57 | 4 | -1.19357956007396 | 5.19357956007396 |
58 | 5 | 1.14033535114244 | 3.85966464885756 |
59 | 3 | 2.87480938240869 | 0.125190617591307 |
60 | -1 | 2.93106812375675 | -3.93106812375675 |
61 | -4 | 1.16450646721158 | -5.16450646721158 |
62 | 0 | -1.15634344246555 | 1.15634344246555 |
63 | -1 | -0.636700454110286 | -0.363299545889714 |
64 | -1 | -0.799961691871718 | -0.200038308128282 |
65 | 3 | -0.889855836123251 | 3.88985583612325 |
66 | 2 | 0.858185651139711 | 1.14181434886029 |
67 | -4 | 1.37129948791088 | -5.37129948791088 |
68 | -3 | -1.04248003013422 | -1.95751996986578 |
69 | -1 | -1.92215944850604 | 0.922159448506041 |
70 | 3 | -1.50775515133635 | 4.50775515133635 |
71 | -2 | 0.517960800854945 | -2.51796080085495 |
72 | -10 | -0.613572121862053 | -9.38642787813795 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | -4.83168868952883 | -11.3344873446549 | 1.67110996559728 |
74 | -4.83168868952883 | -11.9609229689725 | 2.29754558991485 |
75 | -4.83168868952883 | -12.5365944302423 | 2.87321705118466 |
76 | -4.83168868952883 | -13.0721476291368 | 3.40877025007912 |
77 | -4.83168868952883 | -13.5749577919555 | 3.91158041289787 |
78 | -4.83168868952883 | -14.0503841319184 | 4.38700675286075 |
79 | -4.83168868952883 | -14.502466151637 | 4.83908877257934 |
80 | -4.83168868952883 | -14.9343382322827 | 5.270960853225 |
81 | -4.83168868952883 | -15.3484904298769 | 5.68511305081928 |
82 | -4.83168868952883 | -15.7469399421512 | 6.08356256309353 |
83 | -4.83168868952883 | -16.1313480193475 | 6.46797064028987 |
84 | -4.83168868952883 | -16.5031021442927 | 6.83972476523506 |