Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.401139133991933 |
beta | 0.538290779234139 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 50.669 | 10.206 | 40.463 |
4 | 36.432 | 5.82444801654784 | 30.6075519834522 |
5 | 40.891 | 4.09856345536895 | 36.7924365446311 |
6 | 48.428 | 12.7982504480439 | 35.6297495519561 |
7 | 36.222 | 28.7250520869985 | 7.49694791300154 |
8 | 33.425 | 34.9854982317592 | -1.56049823175924 |
9 | 39.401 | 37.2756906755511 | 2.12530932444889 |
10 | 37.967 | 41.5033217439368 | -3.5363217439368 |
11 | 34.801 | 42.6962548531069 | -7.89525485310694 |
12 | 12.657 | 40.4358309004769 | -27.7788309004769 |
13 | 69.116 | 24.2010574874589 | 44.9149425125411 |
14 | 41.519 | 46.8250623332623 | -5.30606233326232 |
15 | 51.321 | 48.1577214162489 | 3.1632785837511 |
16 | 38.529 | 53.5708097336853 | -15.0418097336853 |
17 | 41.547 | 48.4331542791861 | -6.88615427918615 |
18 | 52.073 | 45.0801275609495 | 6.99287243905047 |
19 | 38.401 | 48.8044890295913 | -10.4034890295912 |
20 | 40.898 | 43.3040689707013 | -2.40606897070128 |
21 | 40.439 | 40.4921858057704 | -0.0531858057704397 |
22 | 41.888 | 38.6126517717156 | 3.27534822828435 |
23 | 37.898 | 38.7755672930359 | -0.877567293035931 |
24 | 8.771 | 37.0830932144076 | -28.3120932144076 |
25 | 68.184 | 18.2721411188922 | 49.9118588811078 |
26 | 50.53 | 41.6173200078206 | 8.91267999217943 |
27 | 47.221 | 50.440634290656 | -3.21963429065601 |
28 | 41.756 | 53.7019885157942 | -11.9459885157942 |
29 | 45.633 | 50.8833692725574 | -5.25036927255743 |
30 | 48.138 | 49.6169153379112 | -1.47891533791122 |
31 | 39.486 | 49.5439977234523 | -10.0579977234524 |
32 | 39.341 | 43.8578560409806 | -4.51685604098056 |
33 | 41.117 | 39.4191606813112 | 1.69783931868875 |
34 | 41.629 | 37.8400364263449 | 3.78896357365509 |
35 | 29.722 | 37.9178929427635 | -8.19589294276351 |
36 | 7.054 | 31.4184194544255 | -24.3644194544255 |
37 | 56.676 | 13.1721204053484 | 43.5038795946516 |
38 | 34.87 | 31.5442229015208 | 3.32577709847925 |
39 | 35.117 | 34.5174495330074 | 0.599550466992561 |
40 | 30.169 | 36.5265406052483 | -6.35754060524831 |
41 | 30.936 | 34.3720896445058 | -3.43608964450581 |
42 | 35.699 | 32.6475938835092 | 3.05140611649085 |
43 | 33.228 | 34.184375141786 | -0.956375141786012 |
44 | 27.733 | 33.9069688935624 | -6.17396889356239 |
45 | 33.666 | 30.2034396084388 | 3.46256039156115 |
46 | 35.429 | 31.1131682591813 | 4.3158317408187 |
47 | 27.438 | 33.2970928170336 | -5.85909281703361 |
48 | 8.17 | 30.134305984353 | -21.964305984353 |
49 | 63.41 | 15.7683463454314 | 47.6416536545686 |
50 | 38.04 | 39.6112993874727 | -1.57129938747273 |
51 | 45.389 | 43.3737211786425 | 2.01527882135748 |
52 | 37.353 | 49.0100179887432 | -11.6570179887432 |
53 | 37.024 | 46.6447274657224 | -9.62072746572236 |
54 | 50.957 | 43.0188739170431 | 7.93812608295693 |
55 | 37.994 | 48.1506392471292 | -10.1566392471292 |
56 | 36.454 | 43.8307680788931 | -7.37676807889314 |
57 | 46.08 | 39.0331502027999 | 7.04684979720008 |
58 | 43.373 | 41.5430326428229 | 1.82996735717713 |
59 | 37.395 | 42.3553633097116 | -4.96036330971159 |
60 | 10.963 | 39.372737858874 | -28.409737858874 |
61 | 76.058 | 20.849150202458 | 55.208849797542 |
62 | 50.179 | 47.7894695518812 | 2.38953044811883 |
63 | 57.452 | 54.0578629872045 | 3.39413701279554 |
64 | 47.568 | 61.4621377278673 | -13.8941377278673 |
65 | 50.05 | 58.9312547397712 | -8.88125473977125 |
66 | 50.856 | 56.493510423477 | -5.63751042347695 |
67 | 41.992 | 54.1396541029381 | -12.1476541029381 |
68 | 39.284 | 46.5512875442632 | -7.26728754426318 |
69 | 44.521 | 39.3514052563817 | 5.16959474361833 |
70 | 43.832 | 38.256711151796 | 5.57528884820395 |
71 | 41.153 | 38.5286261457113 | 2.62437385428868 |
72 | 17.1 | 38.1834933808269 | -21.0834933808269 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 23.7756591633519 | -12.0376851375834 | 59.5890034642871 |
74 | 17.8252392221864 | -24.2577063464459 | 59.9081847908187 |
75 | 11.8748192810209 | -39.70957086576 | 63.4592094278019 |
76 | 5.92439933985547 | -57.8887973726978 | 69.7375960524087 |
77 | -0.0260206013099911 | -78.2826628671312 | 78.2306216645112 |
78 | -5.97644054247546 | -100.509433229482 | 88.5565521445307 |
79 | -11.9268604836409 | -124.305156720088 | 100.451435752806 |
80 | -17.8772804248064 | -149.486131882698 | 113.731571033085 |
81 | -23.8277003659719 | -175.920156145167 | 128.264755413224 |
82 | -29.7781203071373 | -203.508258397969 | 143.952017783694 |
83 | -35.7285402483028 | -232.173521242507 | 160.716440745901 |
84 | -41.6789601894682 | -261.854180372433 | 178.496259993497 |