Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.277968810214052 |
beta | 0.356103913856205 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 9360 | 12480 | -3120 |
4 | 10080 | 12383.901674641 | -2303.90167464097 |
5 | 10080 | 12286.5997226186 | -2206.59972261865 |
6 | 10800 | 11997.9226809883 | -1197.92268098827 |
7 | 10320 | 11871.0490840588 | -1551.04908405878 |
8 | 9720 | 11492.4855556743 | -1772.48555567434 |
9 | 10440 | 10876.9187272592 | -436.918727259161 |
10 | 11160 | 10589.3490795406 | 570.650920459364 |
11 | 9480 | 10638.3386951873 | -1158.33869518731 |
12 | 11160 | 10092.0640638083 | 1067.93593619172 |
13 | 9840 | 10270.3348158893 | -430.334815889275 |
14 | 11160 | 9989.53600168714 | 1170.46399831286 |
15 | 8760 | 10269.5686225555 | -1509.56862255554 |
16 | 10320 | 9655.20993501641 | 664.790064983588 |
17 | 9600 | 9711.05990877889 | -111.059908778885 |
18 | 10680 | 9540.25443659428 | 1139.74556340572 |
19 | 10200 | 9829.95247833878 | 370.047521661221 |
20 | 10680 | 9942.32791422569 | 737.672085774311 |
21 | 10200 | 10229.9105605192 | -29.910560519178 |
22 | 12480 | 10301.168451681 | 2178.83154831902 |
23 | 8880 | 11202.0611019226 | -2322.06110192257 |
24 | 11280 | 10621.9949449978 | 658.005055002157 |
25 | 9480 | 10935.4273765066 | -1455.42737650663 |
26 | 11040 | 10517.3248936491 | 522.675106350915 |
27 | 9240 | 10700.8106081735 | -1460.81060817351 |
28 | 9360 | 10188.3496792508 | -828.349679250799 |
29 | 9240 | 9769.69832210112 | -529.698322101118 |
30 | 10680 | 9381.63012512865 | 1298.36987487135 |
31 | 10680 | 9630.2280262707 | 1049.7719737293 |
32 | 10320 | 9913.63596356158 | 406.364036438425 |
33 | 9960 | 10058.420823659 | -98.4208236590403 |
34 | 12240 | 10053.1489746603 | 2186.85102533973 |
35 | 8880 | 10899.5785797578 | -2019.57857975779 |
36 | 11280 | 10376.8423887698 | 903.157611230199 |
37 | 9360 | 10755.9354610972 | -1395.93546109725 |
38 | 10320 | 10357.7746053511 | -37.77460535112 |
39 | 9840 | 10333.4009579341 | -493.400957934055 |
40 | 9120 | 10133.5377160981 | -1013.53771609814 |
41 | 9360 | 9688.7668557953 | -328.766855795298 |
42 | 10800 | 9401.79769273102 | 1398.20230726898 |
43 | 9840 | 9733.2742409267 | 106.725759073297 |
44 | 11760 | 9716.32492224215 | 2043.67507775785 |
45 | 9960 | 10440.0818753045 | -480.081875304502 |
46 | 11160 | 10414.791831365 | 745.208168634952 |
47 | 9240 | 10803.8592158707 | -1563.85921587067 |
48 | 11520 | 10396.2780605576 | 1123.72193944236 |
49 | 9000 | 10846.993135421 | -1846.99313542098 |
50 | 10200 | 10289.1160169718 | -89.1160169717841 |
51 | 10200 | 10211.0526910788 | -11.0526910788303 |
52 | 9840 | 10153.5944757444 | -313.59447574437 |
53 | 8760 | 9980.99768631004 | -1220.99768631004 |
54 | 11520 | 9435.30969616996 | 2084.69030383004 |
55 | 9120 | 10014.854561971 | -894.854561971037 |
56 | 11280 | 9677.6010085267 | 1602.3989914733 |
57 | 10560 | 10193.1207701768 | 366.879229823237 |
58 | 10680 | 10401.5204008724 | 278.479599127571 |
59 | 9960 | 10612.9132120813 | -652.913212081303 |
60 | 10200 | 10500.7787473321 | -300.778747332051 |
61 | 10200 | 10456.7538614973 | -256.753861497302 |
62 | 10320 | 10399.5515392293 | -79.5515392293073 |
63 | 9600 | 10383.7314643893 | -783.731464389288 |
64 | 10080 | 10094.5930622854 | -14.5930622853593 |
65 | 9120 | 10017.8066410331 | -897.806641033092 |
66 | 10920 | 9606.64430035986 | 1313.35569964014 |
67 | 7800 | 9940.119664698 | -2140.119664698 |
68 | 11880 | 9101.79517393494 | 2778.20482606506 |
69 | 9360 | 9905.61426528865 | -545.614265288654 |
70 | 10920 | 9731.50726414282 | 1188.49273585718 |
71 | 9840 | 10157.0718048548 | -317.071804854771 |
72 | 9360 | 10132.7507611696 | -772.750761169553 |
73 | 10680 | 9905.27384235422 | 774.726157645784 |
74 | 9720 | 10184.6341154629 | -464.634115462877 |
75 | 9960 | 10073.4987171158 | -113.498717115775 |
76 | 10680 | 10048.733248487 | 631.266751513002 |
77 | 9120 | 10293.4757836354 | -1173.47578363535 |
78 | 10320 | 9920.39876632804 | 399.601233671958 |
79 | 8040 | 10024.1429361991 | -1984.14293619907 |
80 | 11280 | 9268.87863667063 | 2011.12136332937 |
81 | 8880 | 9823.24562030483 | -943.245620304833 |
82 | 11040 | 9463.02282392871 | 1576.97717607129 |
83 | 9600 | 9959.44167751797 | -359.441677517969 |
84 | 9600 | 9882.01687103705 | -282.016871037053 |
85 | 11040 | 9798.1980855902 | 1241.8019144098 |
86 | 9720 | 10260.8741275679 | -540.874127567931 |
87 | 9480 | 10174.4829830863 | -694.482983086316 |
88 | 10200 | 9976.64942715424 | 223.350572845757 |
89 | 9360 | 10056.0535036843 | -696.053503684285 |
90 | 10800 | 9810.9925231033 | 989.007476896702 |
91 | 8520 | 10132.2236161925 | -1612.22361619245 |
92 | 11520 | 9570.80638304985 | 1949.19361695015 |
93 | 9120 | 10192.2945138555 | -1072.29451385555 |
94 | 11040 | 9867.76127368425 | 1172.23872631575 |
95 | 8880 | 10283.1732339018 | -1403.17323390182 |
96 | 9600 | 9843.80679694377 | -243.806796943771 |
97 | 10440 | 9702.57466280021 | 737.425337199795 |
98 | 8880 | 9907.08908064251 | -1027.08908064251 |
99 | 8520 | 9519.4563100938 | -999.456310093801 |
100 | 10800 | 9040.57262422038 | 1759.42737577962 |
101 | 8880 | 9502.73084736737 | -622.730847367369 |
102 | 10560 | 9241.08188405119 | 1318.91811594881 |
103 | 8400 | 9649.70491302961 | -1249.70491302961 |
104 | 12480 | 9220.62783760981 | 3259.37216239019 |
105 | 10560 | 10367.5650518774 | 192.434948122598 |
106 | 10800 | 10681.037701373 | 118.962298626993 |
107 | 9840 | 10985.8628219736 | -1145.8628219736 |
108 | 8880 | 10825.6818820368 | -1945.68188203685 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 10250.5813484359 | 7806.48146711755 | 12694.6812297542 |
110 | 10216.3196926398 | 7604.33865228579 | 12828.3007329937 |
111 | 10182.0580368436 | 7322.75991212003 | 13041.3561615673 |
112 | 10147.7963810475 | 6961.87296517216 | 13333.7197969229 |
113 | 10113.5347252514 | 6527.0220678336 | 13700.0473826692 |
114 | 10079.2730694553 | 6025.68919769959 | 14132.8569412109 |
115 | 10045.0114136591 | 5465.42880693977 | 14624.5940203785 |
116 | 10010.749757863 | 4852.91704146273 | 15168.5824742633 |
117 | 9976.48810206687 | 4193.70434417917 | 15759.2718599546 |
118 | 9942.22644627074 | 3492.28945576818 | 16392.1634367733 |
119 | 9907.96479047461 | 2752.29590122436 | 17063.6336797249 |
120 | 9873.70313467849 | 1976.65434711192 | 17770.7519222451 |