Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.488903716392153 |
beta | 0.0465372441384407 |
gamma | 0.947454970073025 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2499.81 | 2094.39367811309 | 405.416321886914 |
14 | 5198.24 | 4816.56402005839 | 381.675979941614 |
15 | 7225.14 | 7085.97950572379 | 139.160494276210 |
16 | 4806.03 | 4899.7479008483 | -93.7179008483026 |
17 | 5900.88 | 5962.72230169536 | -61.8423016953557 |
18 | 4951.34 | 4719.27181523893 | 232.068184761075 |
19 | 6179.12 | 6003.72918904137 | 175.390810958627 |
20 | 4752.15 | 4985.4572851177 | -233.307285117704 |
21 | 5496.43 | 6674.10111646775 | -1177.67111646775 |
22 | 5835.1 | 7669.30214520937 | -1834.20214520937 |
23 | 12600.08 | 7978.9790636539 | 4621.10093634609 |
24 | 28541.72 | 26666.7932759403 | 1874.92672405971 |
25 | 4717.02 | 3807.00257376309 | 910.017426236914 |
26 | 5702.63 | 8505.38475298753 | -2802.75475298753 |
27 | 9957.58 | 9763.6994469637 | 193.880553036308 |
28 | 5304.78 | 6579.83538265766 | -1275.05538265767 |
29 | 6492.43 | 7281.90853964856 | -789.47853964856 |
30 | 6630.8 | 5584.4174584067 | 1046.38254159331 |
31 | 7349.62 | 7446.24219872818 | -96.6221987281779 |
32 | 8176.62 | 5789.92577776088 | 2386.69422223912 |
33 | 8573.17 | 8824.0750751731 | -250.905075173094 |
34 | 9690.5 | 10482.5750151408 | -792.075015140841 |
35 | 15151.84 | 16708.8825988694 | -1557.04259886937 |
36 | 34061.01 | 35009.7735615791 | -948.76356157905 |
37 | 5921.1 | 5061.18076645123 | 859.919233548773 |
38 | 5814.58 | 7994.35792622826 | -2179.77792622826 |
39 | 12421.25 | 11745.5899383707 | 675.660061629298 |
40 | 6369.77 | 7117.20428899281 | -747.434288992808 |
41 | 7609.12 | 8660.91093174328 | -1051.79093174328 |
42 | 7224.75 | 7530.0624350017 | -305.312435001703 |
43 | 8121.22 | 8207.73478065402 | -86.5147806540235 |
44 | 7979.25 | 7442.77961440537 | 536.470385594627 |
45 | 8093.06 | 8175.56306823937 | -82.5030682393735 |
46 | 8476.7 | 9464.45362099461 | -987.753620994614 |
47 | 17914.66 | 14563.6213425034 | 3351.03865749662 |
48 | 30114.41 | 36632.6098584899 | -6518.19985848985 |
49 | 4826.64 | 5299.83716395774 | -473.197163957743 |
50 | 6470.23 | 5755.2482338799 | 714.981766120101 |
51 | 9638.77 | 12474.7316323203 | -2835.96163232033 |
52 | 8821.17 | 5959.14119359385 | 2862.02880640615 |
53 | 8722.37 | 9342.26261108106 | -619.892611081061 |
54 | 10209.48 | 8734.54933144548 | 1474.93066855452 |
55 | 11276.55 | 10711.2978516089 | 565.252148391053 |
56 | 12552.22 | 10451.08837869 | 2101.13162130999 |
57 | 11637.39 | 11791.9475416962 | -154.557541696195 |
58 | 13606.89 | 13041.1690625705 | 565.720937429522 |
59 | 21822.11 | 25293.0891801767 | -3470.97918017666 |
60 | 45060.69 | 44001.5136777243 | 1059.1763222757 |
61 | 7615.03 | 7477.63237666557 | 137.397623334435 |
62 | 9849.69 | 9550.00943106132 | 299.680568938678 |
63 | 14558.4 | 16515.8104435388 | -1957.41044353881 |
64 | 11587.33 | 11430.1019549011 | 157.228045098867 |
65 | 9332.56 | 11887.3401339983 | -2554.78013399832 |
66 | 13082.09 | 11406.1950948553 | 1675.89490514472 |
67 | 16732.78 | 13161.6837847215 | 3571.0962152785 |
68 | 19888.61 | 15070.4473828305 | 4818.16261716948 |
69 | 23933.38 | 16370.9532991315 | 7562.4267008685 |
70 | 25391.35 | 23103.3934566428 | 2287.95654335720 |
71 | 36024.8 | 42162.4754632356 | -6137.67546323562 |
72 | 80721.71 | 80109.8347724822 | 611.875227517798 |
73 | 10243.24 | 13559.8674871677 | -3316.6274871677 |
74 | 11266.88 | 15246.5065443697 | -3979.62654436974 |
75 | 21826.84 | 20922.411621172 | 904.428378828004 |
76 | 17357.33 | 16836.9839506788 | 520.346049321186 |
77 | 15997.79 | 15516.1542990580 | 481.635700942026 |
78 | 18601.53 | 20488.2313864995 | -1886.70138649949 |
79 | 26155.15 | 22071.3148411403 | 4083.83515885965 |
80 | 28586.52 | 24719.0214976063 | 3867.49850239369 |
81 | 30505.41 | 26017.3572955989 | 4488.05270440106 |
82 | 30821.33 | 28590.1039749526 | 2231.2260250474 |
83 | 46634.38 | 45451.6939866384 | 1182.68601336162 |
84 | 104660.67 | 102035.051932041 | 2625.61806795884 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 14994.7405385046 | 10497.8195356343 | 19491.6615413749 |
86 | 18948.0920930103 | 13580.8574378648 | 24315.3267481558 |
87 | 35767.0508907713 | 27310.6753804430 | 44223.4264010997 |
88 | 28159.4264766049 | 20617.1432447154 | 35701.7097084944 |
89 | 25669.2640583713 | 18148.2101315721 | 33190.3179851706 |
90 | 31472.7017002141 | 22232.1081756953 | 40713.295224733 |
91 | 40496.4481569367 | 28592.1178677006 | 52400.7784461729 |
92 | 41217.9584905466 | 28690.6622447967 | 53745.2547362965 |
93 | 40537.8498450410 | 27771.0461339649 | 53304.6535561172 |
94 | 39431.6404596473 | 26561.5423624458 | 52301.7385568489 |
95 | 58785.1997797297 | 39615.0155997528 | 77955.3839597066 |
96 | 129819.012363308 | 87614.241560001 | 172023.783166615 |