Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0 |
beta | 0 |
gamma | 0.282949687340327 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 31298 | 18421.2765151515 | 12876.7234848485 |
14 | 52291 | 40788.7348484849 | 11502.2651515151 |
15 | 87286 | 75158.0681818182 | 12127.9318181818 |
16 | 81288 | 69242.6515151515 | 12045.3484848485 |
17 | 14293 | 2080.44318181819 | 12212.5568181818 |
18 | 90302 | 75672.2348484849 | 14629.7651515151 |
19 | 50306 | 69834.3598484848 | -19528.3598484848 |
20 | 15310 | 23505.1098484849 | -8195.10984848486 |
21 | 44310 | 13004.6931818182 | 31305.3068181818 |
22 | 26314 | 44176.8181818182 | -17862.8181818182 |
23 | 98313 | 54639.9848484849 | 43673.0151515151 |
24 | 76310 | 37715.9431818182 | 38594.0568181818 |
25 | 25313 | 22064.7413991573 | 3248.25860084275 |
26 | 48309 | 44043.2971768116 | 4265.70282318839 |
27 | 95307 | 78589.6626978576 | 16717.3373021424 |
28 | 10320 | 72650.8791028447 | -62330.8791028447 |
29 | 87327 | 5535.98231514872 | 81791.0176848513 |
30 | 63328 | 79811.7223239685 | -16483.7223239685 |
31 | 34333 | 64308.8165350867 | -29975.8165350867 |
32 | 90333 | 21186.3060791364 | 69146.6939208636 |
33 | 81332 | 21862.5199581158 | 59469.4800418842 |
34 | 7342 | 39122.5393622556 | -31780.5393622556 |
35 | 30424 | 66997.2508308155 | -36573.2508308155 |
36 | 13344 | 48636.1194917176 | -35292.1194917176 |
37 | 88347 | 22983.8351546662 | 65363.1648453338 |
38 | 40339 | 45250.2764569195 | -4911.27645691952 |
39 | 23330 | 83319.8280606616 | -59989.8280606616 |
40 | 1339 | 55014.376349047 | -53675.376349047 |
41 | 10341 | 28678.7251963246 | -18337.7251963246 |
42 | 46342 | 75147.6582461968 | -28805.6582461968 |
43 | 81342 | 55827.1686187129 | 25514.8313812871 |
44 | 2342 | 40751.3415046621 | -38409.3415046621 |
45 | 76350 | 38689.3907422588 | 37660.6092577412 |
46 | 35368 | 30130.2456861984 | 5237.75431380158 |
47 | 93367 | 56648.8609432168 | 36718.1390567832 |
48 | 88377 | 38650.2253159586 | 49726.7746840414 |
49 | 39376 | 41478.3222112277 | -2102.32221122771 |
50 | 41366 | 43860.6323189922 | -2494.63231899223 |
51 | 77375 | 66345.7249672974 | 11029.2750327026 |
52 | 56382 | 39826.9453932098 | 16555.0546067902 |
53 | 79397 | 23490.0715854917 | 55906.9284145083 |
54 | 26385 | 66997.1062518031 | -40612.1062518031 |
55 | 73397 | 63046.5821805892 | 10350.4178194108 |
56 | 28404 | 29883.4303349701 | -1479.43033497009 |
57 | 98413 | 49345.4483567829 | 49067.5516432171 |
58 | 73414 | 31612.266631654 | 41801.733368346 |
59 | 47423 | 67038.2469090523 | -19615.2469090523 |
60 | 52431 | 52720.400665251 | -289.400665251029 |
61 | 24441 | 40883.4707988722 | -16442.4707988722 |
62 | 92439 | 43154.7768843043 | 49284.2231156957 |
63 | 90441 | 69466.454889391 | 20974.5451106089 |
64 | 441 | 44511.1929181031 | -44070.1929181031 |
65 | 13448 | 39308.9195005349 | -25860.9195005349 |
66 | 18458 | 55505.9234856233 | -37047.9234856233 |
67 | 18459 | 65975.2296664333 | -47516.2296664333 |
68 | 69477 | 29464.8259842485 | 40012.1740157515 |
69 | 41491 | 63229.0967527865 | -21738.0967527865 |
70 | 10492 | 43440.0540185113 | -32948.0540185113 |
71 | 73508 | 61488.1189290326 | 12019.8810709674 |
72 | 82515 | 52638.5148375022 | 29876.4851624978 |
73 | 13525 | 36231.0788272288 | -22706.0788272288 |
74 | 55533 | 57099.7324057013 | -1566.73240570134 |
75 | 19550 | 75401.1958705435 | -55851.1958705435 |
76 | 85558 | 32041.5456108979 | 53516.4543891021 |
77 | 57563 | 31991.5804135252 | 25571.4195864748 |
78 | 60570 | 45023.2251187578 | 15546.7748812422 |
79 | 49568 | 52530.5273387248 | -2962.52733872478 |
80 | 51570 | 40786.2581118122 | 10783.7418881878 |
81 | 26561 | 57078.3090732118 | -30517.3090732118 |
82 | 61558 | 34117.4124355013 | 27440.5875644987 |
83 | 78548 | 64889.1405199308 | 13658.8594800692 |
84 | 77537 | 61092.0569730589 | 16444.9430269411 |
85 | 539 | 29806.4009223396 | -29267.4009223396 |
86 | 18540 | 56656.4259613622 | -38116.4259613622 |
87 | 47542 | 59598.1174613898 | -12056.1174613898 |
88 | 86542 | 47184.0096478573 | 39357.9903521427 |
89 | 81544 | 39227.0055903665 | 42316.9944096335 |
90 | 16543 | 49422.1802105557 | -32879.1802105557 |
91 | 22538 | 51692.2811544954 | -29154.2811544954 |
92 | 25538 | 43837.5145074337 | -18299.5145074337 |
93 | 99527 | 48443.4460124784 | 51083.5539875216 |
94 | 63518 | 41881.7181073111 | 21636.2818926889 |
95 | 95508 | 68753.9105392418 | 26754.0894607582 |
96 | 65496 | 65745.1484608614 | -249.148460861354 |
97 | 5488 | 21525.1989820996 | -16037.1989820996 |
98 | 96475 | 45871.395153064 | 50603.604846936 |
99 | 81465 | 56186.8427951513 | 25278.1572048487 |
100 | 5463 | 58320.3407123397 | -52857.3407123397 |
101 | 81458 | 51200.5859277547 | 30257.4140722453 |
102 | 74445 | 40119.0264499727 | 34325.9735500273 |
103 | 21434 | 43443.0864171989 | -22009.0864171989 |
104 | 67427 | 38659.6725990756 | 28767.3274009244 |
105 | 27418 | 62897.5216414804 | -35479.5216414804 |
106 | 81407 | 48003.6973040546 | 33403.3026959454 |
107 | 82395 | 76323.9717872385 | 6071.02821276151 |
108 | 97359 | 65674.6519817593 | 31684.3480182407 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 16987.4785442999 | -48369.505948423 | 82344.4630370228 |
110 | 60189.669322798 | -5167.31516992491 | 125546.653815521 |
111 | 63339.2894728029 | -2017.69501992006 | 128696.273965526 |
112 | 43364.372684142 | -21992.6118085809 | 108721.357176865 |
113 | 59761.9117792233 | -5595.07271349959 | 125118.896271946 |
114 | 49831.5499336053 | -15525.4345591177 | 115188.534426328 |
115 | 37215.6222968063 | -28141.3621959167 | 102572.606789529 |
116 | 46799.378892784 | -18557.6055999390 | 112156.363385507 |
117 | 52858.6020860391 | -12498.3824066838 | 118215.586578762 |
118 | 57455.1513580067 | -7901.83313471627 | 122812.135850730 |
119 | 78041.7673218737 | 12684.7828291507 | 143398.751814597 |
120 | 74639.7283471026 | 9282.74385437971 | 139996.712839826 |