Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.709014229144098 |
beta | 0.20399768824169 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 16 | 24 | -8 |
4 | 16 | 22.1707880574403 | -6.17078805744034 |
5 | 11 | 20.7459875109239 | -9.74598751092395 |
6 | 13 | 15.3766867144603 | -2.37668671446033 |
7 | 12 | 14.888567578538 | -2.88856757853805 |
8 | 11 | 13.6197231158555 | -2.61972311585554 |
9 | 6 | 12.1625836195758 | -6.16258361957578 |
10 | 9 | 7.30216638237663 | 1.69783361762337 |
11 | 6 | 8.26046682199115 | -2.26046682199115 |
12 | 15 | 6.08532819092877 | 8.91467180907123 |
13 | 17 | 13.1229155989799 | 3.8770844010201 |
14 | 13 | 17.1495527329696 | -4.14955273296955 |
15 | 12 | 14.8850099740087 | -2.88500997400874 |
16 | 13 | 13.0997660761941 | -0.0997660761940882 |
17 | 10 | 13.2748698412984 | -3.2748698412984 |
18 | 14 | 10.7251116451948 | 3.27488835480524 |
19 | 13 | 13.2928960980648 | -0.292896098064752 |
20 | 10 | 13.2887069171654 | -3.2887069171654 |
21 | 11 | 10.6847756681692 | 0.315224331830818 |
22 | 12 | 10.6816761403684 | 1.3183238596316 |
23 | 7 | 11.5804672067218 | -4.58046720672182 |
24 | 11 | 7.63442522914532 | 3.36557477085468 |
25 | 9 | 9.8090276045998 | -0.809027604599796 |
26 | 13 | 8.90676195587075 | 4.09323804412925 |
27 | 12 | 12.0723071574117 | -0.0723071574117 |
28 | 5 | 12.273963229525 | -7.27396322952499 |
29 | 13 | 6.31745653551065 | 6.68254346448935 |
30 | 11 | 11.2228564777961 | -0.222856477796068 |
31 | 8 | 11.1999962519294 | -3.19999625192943 |
32 | 8 | 8.60346286239931 | -0.603462862399311 |
33 | 8 | 7.76062537534636 | 0.239374624653637 |
34 | 8 | 7.54999415017335 | 0.450005849826652 |
35 | 0 | 7.55379107550711 | -7.55379107550711 |
36 | 3 | 0.790222422058977 | 2.20977757794102 |
37 | 0 | 1.26877905333651 | -1.26877905333651 |
38 | -1 | -0.902523194329129 | -0.0974768056708715 |
39 | -1 | -2.25745426021546 | 1.25745426021546 |
40 | -4 | -2.46984517748389 | -1.53015482251611 |
41 | 1 | -4.88000800622948 | 5.88000800622948 |
42 | -1 | -1.18579168070659 | 0.185791680706587 |
43 | 0 | -1.50198335349291 | 1.50198335349291 |
44 | -1 | -0.667733639656848 | -0.332266360343152 |
45 | 6 | -1.18205116990562 | 7.18205116990562 |
46 | 0 | 4.67018157989409 | -4.67018157989409 |
47 | -3 | 1.44353037837283 | -4.44353037837283 |
48 | -3 | -2.26512197120565 | -0.734878028794351 |
49 | 4 | -3.45057778120462 | 7.45057778120462 |
50 | 1 | 2.2452022331935 | -1.2452022331935 |
51 | 0 | 1.59544784014431 | -1.59544784014431 |
52 | -4 | 0.466603118135748 | -4.46660311813575 |
53 | -2 | -3.34396880298414 | 1.34396880298414 |
54 | 3 | -2.84037458243552 | 5.84037458243552 |
55 | 2 | 1.6959711141954 | 0.304028885804598 |
56 | 5 | 2.3509428405755 | 2.6490571594245 |
57 | 6 | 5.05172535955744 | 0.948274640442563 |
58 | 6 | 6.68378472110846 | -0.68378472110846 |
59 | 3 | 7.05979002150749 | -4.05979002150749 |
60 | 4 | 4.45496260644831 | -0.454962606448306 |
61 | 7 | 4.3402045758033 | 2.6597954241967 |
62 | 5 | 6.81855984131984 | -1.81855984131984 |
63 | 6 | 5.85866598114345 | 0.141334018856553 |
64 | 1 | 6.30880692119599 | -5.30880692119599 |
65 | 3 | 2.12686907744524 | 0.873130922554759 |
66 | 6 | 2.45430039606726 | 3.54569960393274 |
67 | 0 | 5.18946122668055 | -5.18946122668055 |
68 | 3 | 0.980679262747798 | 2.0193207372522 |
69 | 4 | 2.17509531196078 | 1.82490468803922 |
70 | 7 | 3.49561683645502 | 3.50438316354498 |
71 | 6 | 6.51377688927098 | -0.513776889270981 |
72 | 6 | 6.60869300625797 | -0.608693006257974 |
73 | 6 | 6.5482725548823 | -0.548272554882297 |
74 | 6 | 6.45139042117654 | -0.451390421176536 |
75 | 2 | 6.35791122344953 | -4.35791122344953 |
76 | 2 | 2.8643368357615 | -0.864336835761498 |
77 | 2 | 1.72274108469887 | 0.277258915301133 |
78 | 3 | 1.43065493590898 | 1.56934506409102 |
79 | -1 | 2.28166202772446 | -3.28166202772446 |
80 | -4 | -0.781414550235204 | -3.2185854497648 |
81 | 4 | -4.26529632925667 | 8.26529632925667 |
82 | 5 | 1.58852732339054 | 3.41147267660946 |
83 | 3 | 4.49434701360445 | -1.49434701360445 |
84 | -1 | 3.70573247481147 | -4.70573247481147 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | -0.0404243199911367 | -7.41091955077537 | 7.33007091079309 |
86 | -0.450149831606938 | -10.1409381514137 | 9.24063848819984 |
87 | -0.85987534322274 | -13.0274475504572 | 11.3076968640117 |
88 | -1.26960085483854 | -16.0686691774803 | 13.5294674678032 |
89 | -1.67932636645434 | -19.2597736148463 | 15.9011208819376 |
90 | -2.08905187807014 | -22.5951933463817 | 18.4170895902414 |
91 | -2.49877738968595 | -26.0694048401227 | 21.0718500607508 |
92 | -2.90850290130175 | -29.6771966444498 | 23.8601908418463 |
93 | -3.31822841291755 | -33.4137465947703 | 26.7772897689352 |
94 | -3.72795392453335 | -37.2746250851858 | 29.818717236119 |
95 | -4.13767943614915 | -41.2557703958001 | 32.9804115235018 |
96 | -4.54740494776495 | -45.3534550385601 | 36.2586451430302 |