Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999954412762013 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 14 | 19 | -5 |
3 | 15 | 14.0002279361899 | 0.999772063810065 |
4 | 7 | 14.999954423153 | -7.99995442315299 |
5 | 12 | 7.00036469582617 | 4.99963530417383 |
6 | 12 | 11.9997720804355 | 0.000227919564459 |
7 | 14 | 11.9999999896098 | 2.00000001039022 |
8 | 9 | 13.9999088255236 | -4.99990882552355 |
9 | 8 | 9.00022793203354 | -1.00022793203354 |
10 | 4 | 8.00004559762878 | -4.00004559762878 |
11 | 7 | 4.00018235103062 | 2.99981764896938 |
12 | 3 | 6.99986324659892 | -3.99986324659892 |
13 | 5 | 3.00018234271774 | 1.99981765728226 |
14 | 0 | 4.99990883383653 | -4.99990883383653 |
15 | -2 | 0.000227932033921295 | -2.00022793203392 |
16 | 6 | -1.99990881513323 | 7.99990881513323 |
17 | 11 | 5.99963530625297 | 5.00036469374703 |
18 | 9 | 10.9997720471847 | -1.99977204718468 |
19 | 17 | 9.00009116408424 | 7.99990883591576 |
20 | 21 | 16.999635306252 | 4.00036469374798 |
21 | 21 | 20.9998176344227 | 0.000182365577327204 |
22 | 41 | 20.9999999916865 | 20.0000000083135 |
23 | 57 | 40.9990882552399 | 16.0009117447601 |
24 | 65 | 56.9992705626283 | 8.00072943737172 |
25 | 68 | 64.9996352688431 | 3.00036473115694 |
26 | 73 | 67.999863221659 | 5.00013677834104 |
27 | 71 | 72.9997720575747 | -1.99977205757472 |
28 | 71 | 71.0000911640847 | -9.11640847078843e-05 |
29 | 70 | 71.0000000041559 | -1.00000000415592 |
30 | 69 | 70.0000455872382 | -1.00004558723818 |
31 | 65 | 69.0000455893162 | -4.00004558931619 |
32 | 57 | 65.0001823510302 | -8.00018235103023 |
33 | 57 | 57.0003647062168 | -0.000364706216778643 |
34 | 57 | 57.0000000166259 | -1.66259468414864e-08 |
35 | 55 | 57.0000000000008 | -2.00000000000076 |
36 | 65 | 55.000091174476 | 9.99990882552402 |
37 | 65 | 64.9995441317765 | 0.00045586822348298 |
38 | 64 | 64.9999999792182 | -0.999999979218231 |
39 | 60 | 64.000045587237 | -4.00004558723704 |
40 | 43 | 60.0001823510301 | -17.0001823510301 |
41 | 47 | 43.0007749913587 | 3.99922500864134 |
42 | 40 | 46.9998176863778 | -6.99981768637777 |
43 | 31 | 40.0003191023547 | -9.00031910235474 |
44 | 27 | 31.0004102996889 | -4.00041029968888 |
45 | 24 | 27.0001823676564 | -3.00018236765638 |
46 | 23 | 24.0001367700276 | -1.0001367700276 |
47 | 17 | 23.000045593473 | -6.00004559347295 |
48 | 16 | 17.0002735255064 | -1.0002735255064 |
49 | 15 | 16.0000455997073 | -1.00004559970726 |
50 | 8 | 15.0000455893168 | -7.00004558931675 |
51 | 5 | 8.0003191127442 | -3.0003191127442 |
52 | 6 | 5.00013677626143 | 0.99986322373857 |
53 | 5 | 5.99995441899727 | -0.999954418997265 |
54 | 12 | 5.00004558516008 | 6.99995441483992 |
55 | 8 | 11.9996808914122 | -3.99968089141219 |
56 | 17 | 8.00018233440467 | 8.99981766559533 |
57 | 22 | 16.9995897231702 | 5.00041027682976 |
58 | 24 | 21.9997720451067 | 2.00022795489332 |
59 | 36 | 23.9999088151322 | 12.0000911848678 |
60 | 31 | 35.9994529489873 | -4.99945294898729 |
61 | 34 | 31.0002279112514 | 2.99977208874861 |
62 | 47 | 33.9998632486759 | 13.0001367513241 |
63 | 33 | 46.9994073596721 | -13.9994073596721 |
64 | 35 | 33.000638194315 | 1.99936180568502 |
65 | 31 | 34.9999088546175 | -3.99990885461754 |
66 | 35 | 31.0001823447969 | 3.99981765520312 |
67 | 39 | 34.9998176593606 | 4.00018234063936 |
68 | 46 | 38.9998176427356 | 7.00018235726436 |
69 | 40 | 45.9996808810209 | -5.99968088102093 |
70 | 50 | 40.0002735088802 | 9.99972649111983 |
71 | 62 | 49.9995441400886 | 12.0004558599114 |
72 | 57 | 61.9994529323628 | -4.99945293236276 |
73 | 62 | 57.0002279112506 | 4.99977208874937 |
74 | 57 | 61.9997720741999 | -4.99977207419991 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
75 | 57.0002279257994 | 44.2098038733564 | 69.7906519782424 |
76 | 57.0002279257994 | 38.9122490575289 | 75.08820679407 |
77 | 57.0002279257994 | 34.8472368944129 | 79.1532189571859 |
78 | 57.0002279257994 | 31.4202544360872 | 82.5802014155117 |
79 | 57.0002279257994 | 28.4010133241348 | 85.5994425274641 |
80 | 57.0002279257994 | 25.6714056062522 | 88.3290502453466 |
81 | 57.0002279257994 | 23.1612690170586 | 90.8391868345402 |
82 | 57.0002279257994 | 20.8248886443893 | 93.1755672072096 |
83 | 57.0002279257994 | 18.630510644813 | 95.3699452067858 |
84 | 57.0002279257994 | 16.5550151519678 | 97.4454406996311 |
85 | 57.0002279257994 | 14.5809484833312 | 99.4195073682676 |
86 | 57.0002279257994 | 12.6947508319243 | 101.305705019675 |