Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.151057287538905 |
beta | 0.0628426978359442 |
gamma | 0.193352917851991 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 11356.2 | 11204.6067190448 | 151.593280955216 |
14 | 11307.1 | 11209.7592691540 | 97.3407308459537 |
15 | 12648.6 | 12571.4749904354 | 77.1250095645864 |
16 | 11947.2 | 11880.3733503956 | 66.8266496044234 |
17 | 11714.1 | 11673.4804316841 | 40.6195683159076 |
18 | 12192.5 | 12131.8408719123 | 60.659128087711 |
19 | 11268.8 | 11362.1338650906 | -93.3338650905916 |
20 | 9097.4 | 9650.01594479876 | -552.615944798756 |
21 | 12639.8 | 12143.7016223049 | 496.098377695094 |
22 | 13040.1 | 13110.1082113040 | -70.0082113040353 |
23 | 11687.3 | 11720.4306396411 | -33.1306396411201 |
24 | 11191.7 | 10289.769607038 | 901.93039296201 |
25 | 11391.9 | 11625.4345969344 | -233.534596934413 |
26 | 11793.1 | 11568.9564158721 | 224.143584127922 |
27 | 13933.2 | 12998.0924885712 | 935.10751142883 |
28 | 12778.1 | 12419.7299668009 | 358.370033199102 |
29 | 11810.3 | 12259.4361990709 | -449.136199070866 |
30 | 13698.4 | 12680.2149505300 | 1018.18504947003 |
31 | 11956.6 | 12005.3393842018 | -48.7393842018282 |
32 | 10723.8 | 10137.4049372083 | 586.395062791677 |
33 | 13938.9 | 13229.2659696772 | 709.634030322824 |
34 | 13979.8 | 14243.0957945779 | -263.295794577907 |
35 | 13807.4 | 12748.1402832999 | 1059.25971670007 |
36 | 12973.9 | 11543.6928417424 | 1430.20715825758 |
37 | 12509.8 | 12934.1037373036 | -424.303737303582 |
38 | 12934.1 | 12976.3311981753 | -42.2311981753064 |
39 | 14908.3 | 14702.0251392523 | 206.274860747741 |
40 | 13772.1 | 13869.0434891948 | -96.9434891948458 |
41 | 13012.6 | 13503.3941589387 | -490.794158938741 |
42 | 14049.9 | 14270.2858591979 | -220.385859197915 |
43 | 11816.5 | 13158.4419012346 | -1341.9419012346 |
44 | 11593.2 | 11064.7514683299 | 528.448531670116 |
45 | 14466.2 | 14416.5592645315 | 49.6407354685143 |
46 | 13615.9 | 15227.0817932000 | -1611.18179320002 |
47 | 14733.9 | 13662.7138081898 | 1071.18619181025 |
48 | 13880.7 | 12434.2383747763 | 1446.46162522367 |
49 | 13527.5 | 13560.5390884228 | -33.0390884227636 |
50 | 13584 | 13728.5900635703 | -144.590063570307 |
51 | 16170.2 | 15573.5724782049 | 596.627521795052 |
52 | 13260.6 | 14690.1934763267 | -1429.59347632665 |
53 | 14741.9 | 14024.0564018549 | 717.843598145078 |
54 | 15486.5 | 15065.3355466502 | 421.164453349818 |
55 | 13154.5 | 13781.2421626330 | -626.742162633022 |
56 | 12621.2 | 11990.6411027533 | 630.558897246705 |
57 | 15031.6 | 15531.8147219158 | -500.214721915792 |
58 | 15452.4 | 16024.4896110769 | -572.089611076859 |
59 | 15428 | 14996.1070578172 | 431.892942182811 |
60 | 13105.9 | 13634.0929504598 | -528.192950459772 |
61 | 14716.8 | 14241.1005561881 | 475.699443811862 |
62 | 14180 | 14468.4051771226 | -288.405177122626 |
63 | 16202.2 | 16510.1751009291 | -307.975100929085 |
64 | 14392.4 | 15078.8821856548 | -686.48218565476 |
65 | 15140.6 | 14861.7295627150 | 278.870437284973 |
66 | 15960.1 | 15813.5244853532 | 146.575514646833 |
67 | 14351.3 | 14236.0319698116 | 115.268030188397 |
68 | 13230.2 | 12681.9366631210 | 548.263336879014 |
69 | 15202.1 | 16167.6232390865 | -965.523239086522 |
70 | 17056 | 16585.9101180026 | 470.089881997425 |
71 | 16077.7 | 15834.0886753871 | 243.611324612908 |
72 | 13348.2 | 14201.6257030140 | -853.425703013965 |
73 | 16707.5 | 14952.4436004646 | 1755.05639953544 |
74 | 16792.6 | 15250.5196626887 | 1542.08033731127 |
75 | 16831.3 | 17745.6814828752 | -914.38148287516 |
76 | 17804.5 | 16067.9941618602 | 1736.50583813976 |
77 | 16370.2 | 16414.9668672790 | -44.7668672789805 |
78 | 17602.5 | 17416.608096819 | 185.891903180993 |
79 | 17065.6 | 15709.8888745940 | 1355.71112540598 |
80 | 14427.9 | 14277.5964180937 | 150.303581906297 |
81 | 17818.5 | 17847.9542355833 | -29.4542355832891 |
82 | 18027.6 | 18794.2166467020 | -766.61664670198 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
83 | 17755.9265203261 | 17314.6459925816 | 18197.2070480707 |
84 | 15721.4804959129 | 15237.9106120639 | 16205.0503797620 |
85 | 17234.2087977579 | 16680.357545681 | 17788.0600498349 |
86 | 17252.2944631895 | 16645.0554009737 | 17859.5335254054 |
87 | 19299.4560377763 | 18594.5227471723 | 20004.3893283803 |
88 | 18091.132127324 | 17363.0771195854 | 18819.1871350626 |
89 | 17865.780530542 | 17090.4032417399 | 18641.1578193441 |
90 | 19006.7585424187 | 18138.8893153478 | 19874.6277694896 |
91 | 17325.2603581154 | 16464.3139437842 | 18186.2067724465 |
92 | 15343.6887505734 | 14507.5237477592 | 16179.8537533876 |
93 | 19096.2113941679 | 18038.6635171310 | 20153.7592712048 |
94 | 19967.5263935678 | 18896.6645279828 | 21038.3882591529 |