Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.513796008648427 |
beta | 0.100960013583531 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 16686.2 | 15362.1 | 1324.1 |
4 | 15232.4 | 16815.5021384009 | -1583.10213840088 |
5 | 15014.1 | 16693.0753988116 | -1678.97539881158 |
6 | 16688.6 | 16434.2961182923 | 254.30388170771 |
7 | 13969.6 | 17182.0194833285 | -3212.41948332849 |
8 | 14546.8 | 15981.9168598607 | -1435.11685986069 |
9 | 16292 | 15620.5416259991 | 671.4583740009 |
10 | 15039 | 16376.3468000802 | -1337.3468000802 |
11 | 17433.8 | 16030.6639009164 | 1403.13609908358 |
12 | 17798.4 | 17165.8148483332 | 632.585151666844 |
13 | 16870.9 | 17937.8737904645 | -1066.97379046451 |
14 | 16659.3 | 17781.3591581323 | -1122.05915813225 |
15 | 19620.4 | 17538.3374750985 | 2082.06252490148 |
16 | 15953.5 | 19049.583245266 | -3096.083245266 |
17 | 17420.9 | 17739.7157185222 | -318.815718522208 |
18 | 17647.5 | 17840.2592813822 | -192.759281382172 |
19 | 15200.8 | 17995.571164832 | -2794.77116483199 |
20 | 15637.3 | 16669.0069770679 | -1031.70697706792 |
21 | 17124.5 | 16194.7805486265 | 929.719451373508 |
22 | 17659.4 | 16776.5543898899 | 882.845610110126 |
23 | 17815 | 17380.0403582851 | 434.959641714926 |
24 | 16165.6 | 17775.9669009152 | -1610.36690091519 |
25 | 17416.6 | 17037.4785056226 | 379.121494377428 |
26 | 16823.9 | 17340.8474202562 | -516.947420256183 |
27 | 19171.2 | 17157.004166048 | 2014.19583395197 |
28 | 16806.8 | 18378.1342955878 | -1571.33429558781 |
29 | 18112.8 | 17675.5237643045 | 437.276235695514 |
30 | 18485.5 | 18027.6120723865 | 457.887927613538 |
31 | 17668 | 18414.0425382147 | -746.04253821473 |
32 | 16324.3 | 18143.1989818305 | -1818.89898183049 |
33 | 17877.5 | 17226.7745891539 | 650.725410846106 |
34 | 20136.7 | 17612.9883352328 | 2523.7116647672 |
35 | 19307 | 19092.4470645379 | 214.552935462059 |
36 | 17776.3 | 19396.5987280605 | -1620.29872806046 |
37 | 19861.3 | 18673.9614142668 | 1187.33858573324 |
38 | 18757 | 19455.4675847789 | -698.467584778908 |
39 | 19879.3 | 19231.8225661367 | 647.477433863296 |
40 | 21068.4 | 19733.3052270412 | 1335.0947729588 |
41 | 19358 | 20657.3381058305 | -1299.33810583051 |
42 | 20639.2 | 20160.409513168 | 478.790486832004 |
43 | 20008.1 | 20601.9125223475 | -593.812522347464 |
44 | 18150.1 | 20461.5136374514 | -2311.41363745144 |
45 | 21180.4 | 19318.7185376102 | 1861.68146238985 |
46 | 20428.9 | 20416.6137707702 | 12.286229229765 |
47 | 17241.2 | 20564.9344364699 | -3323.73443646987 |
48 | 15969.3 | 18826.8094148131 | -2857.50941481314 |
49 | 14972.4 | 17180.0017854173 | -2207.60178541728 |
50 | 14488.3 | 15752.5995012781 | -1264.29950127812 |
51 | 15885.1 | 14744.2793447496 | 1140.82065525043 |
52 | 14305.3 | 15030.8779459877 | -725.577945987656 |
53 | 13891.5 | 14320.890597947 | -429.390597946993 |
54 | 15431.6 | 13740.809412199 | 1690.790587801 |
55 | 14199.3 | 14337.7749872446 | -138.47498724463 |
56 | 13542.6 | 13987.6881185531 | -445.088118553094 |
57 | 16226.3 | 13456.9766566899 | 2769.32334331007 |
58 | 16786.1 | 14721.4696740476 | 2064.63032595242 |
59 | 16034.3 | 15730.9924951227 | 303.307504877297 |
60 | 16744.5 | 15851.2881061028 | 893.211893897238 |
61 | 15896.5 | 16321.0076860332 | -424.507686033223 |
62 | 15781.8 | 16091.6677809018 | -309.867780901843 |
63 | 18590.3 | 15905.1556759167 | 2685.14432408331 |
64 | 17416.8 | 17396.7549304815 | 20.0450695184954 |
65 | 16983 | 17520.0766203237 | -537.076620323725 |
66 | 18829.4 | 17329.2917135482 | 1500.10828645178 |
67 | 16748.6 | 18263.0191758983 | -1514.41917589835 |
68 | 16502.8 | 17569.3372183359 | -1066.53721833592 |
69 | 18616.6 | 17050.4508956224 | 1566.14910437764 |
70 | 19136.4 | 17965.4689182629 | 1170.93108173708 |
71 | 19523.9 | 18738.1650330444 | 785.734966955599 |
72 | 18970.2 | 19353.7072351661 | -383.50723516606 |
73 | 20118.2 | 19348.6038466389 | 769.596153361108 |
74 | 20125.4 | 19975.8815240685 | 149.518475931498 |
75 | 23117.8 | 20292.3217155579 | 2825.4782844421 |
76 | 20014.6 | 22130.2249928765 | -2115.62499287651 |
77 | 22228.5 | 21319.6656258201 | 908.834374179874 |
78 | 20819.1 | 22110.2052408722 | -1291.1052408722 |
79 | 19208.9 | 21703.4513513509 | -2494.55135135087 |
80 | 19953.3 | 20548.9721605564 | -595.672160556402 |
81 | 21041.3 | 20339.2303050653 | 702.069694934711 |
82 | 20006.8 | 20832.6813925692 | -825.88139256919 |
83 | 21045.1 | 20498.2364866471 | 546.863513352899 |
84 | 20496.3 | 20897.4698043793 | -401.169804379326 |
85 | 20873.5 | 20788.7975655006 | 84.7024344993661 |
86 | 21304.2 | 20934.1583005208 | 370.041699479243 |
87 | 23137.8 | 21245.3203293137 | 1892.47967068631 |
88 | 20514.2 | 22436.8732290214 | -1922.67322902143 |
89 | 21343.5 | 21568.4812525988 | -224.981252598809 |
90 | 20967.2 | 21560.686218355 | -593.486218354985 |
91 | 20024.4 | 21332.7689807624 | -1308.36898076244 |
92 | 19602.7 | 20669.6790026768 | -1066.9790026768 |
93 | 19804.1 | 20075.2669879532 | -271.166987953198 |
94 | 22173.9 | 19875.6738049923 | 2298.22619500768 |
95 | 21802.6 | 21115.4401313897 | 687.159868610324 |
96 | 19452.2 | 21563.0919517894 | -2110.8919517894 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | 20463.6179290471 | 17632.3489709908 | 23294.8868871035 |
98 | 20448.7117658224 | 17195.8544767729 | 23701.5690548718 |
99 | 20433.8056025976 | 16740.8289707814 | 24126.7822344137 |
100 | 20418.8994393728 | 16267.9705391296 | 24569.828339616 |
101 | 20403.993276148 | 15777.9125613861 | 25030.0739909099 |
102 | 20389.0871129232 | 15271.2309427715 | 25506.9432830749 |
103 | 20374.1809496984 | 14748.4510439132 | 25999.9108554837 |
104 | 20359.2747864737 | 14210.0538923833 | 26508.4956805641 |
105 | 20344.3686232489 | 13656.4815941385 | 27032.2556523592 |
106 | 20329.4624600241 | 13088.1419904076 | 27570.7829296405 |
107 | 20314.5562967993 | 12505.4126475688 | 28123.6999460298 |
108 | 20299.6501335745 | 11908.6442744773 | 28690.6559926717 |