Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.429776854949485 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 47295.5 | 45564.6 | 1730.9 |
3 | 46465.5 | 46308.5007582321 | 156.999241767931 |
4 | 50679.5 | 46375.9753985885 | 4303.52460141145 |
5 | 47452.8 | 48225.5306669809 | -772.730666980897 |
6 | 49415.4 | 47893.4289112028 | 1521.97108879717 |
7 | 48165.3 | 48547.5368590701 | -382.236859070123 |
8 | 51814 | 48383.2603039332 | 3430.7396960668 |
9 | 49030.7 | 49857.7128206591 | -827.012820659147 |
10 | 50820.8 | 49502.2818515934 | 1318.51814840664 |
11 | 49729.5 | 50068.9504346094 | -339.450434609389 |
12 | 53501.6 | 49923.0624944117 | 3578.53750558827 |
13 | 50524.9 | 51461.0350888822 | -936.135088882227 |
14 | 52095 | 51058.7058945746 | 1036.29410542543 |
15 | 51290.3 | 51504.081116007 | -213.781116006998 |
16 | 55064 | 51412.2029403219 | 3651.79705967808 |
17 | 52505.2 | 52981.6607955441 | -476.460795544146 |
18 | 54318.3 | 52776.8889733285 | 1541.41102667155 |
19 | 53039.6 | 53439.3517565558 | -399.751756555816 |
20 | 57607.6 | 53267.5477038627 | 4340.05229613727 |
21 | 54236.4 | 55132.8017300129 | -896.401730012898 |
22 | 56586.4 | 54747.5490137167 | 1838.85098628332 |
23 | 55614 | 55537.8446073223 | 76.1553926777124 |
24 | 60085.9 | 55570.5744324748 | 4515.32556752524 |
25 | 56963.5 | 57511.1568539588 | -547.656853958761 |
26 | 59152.8 | 57275.7866136728 | 1877.01338632716 |
27 | 57804.6 | 58082.4835235466 | -277.883523546618 |
28 | 62541.5 | 57963.0556167545 | 4578.44438324553 |
29 | 59449.3 | 59930.7650443469 | -481.465044346871 |
30 | 61704.7 | 59723.8425118194 | 1980.85748818063 |
31 | 60399 | 60575.1692131928 | -176.169213192778 |
32 | 65724.7 | 60499.4557628079 | 5225.24423719214 |
33 | 62679.4 | 62745.1447974112 | -65.744797411222 |
34 | 65526.5 | 62716.8892051505 | 2809.61079484946 |
35 | 64274.8 | 63924.3948961931 | 350.40510380693 |
36 | 68769.1 | 64074.9908996655 | 4694.10910033454 |
37 | 63542.8 | 66092.410345597 | -2549.610345597 |
38 | 66198 | 64996.6468299197 | 1201.35317008034 |
39 | 64544.9 | 65512.9606170404 | -968.060617040384 |
40 | 71041.8 | 65096.9105696483 | 5944.88943035169 |
41 | 66087.2 | 67651.8864520473 | -1564.6864520473 |
42 | 69005.8 | 66979.4204297043 | 2026.37957029566 |
43 | 66897 | 67850.3114683599 | -953.311468359898 |
44 | 73702 | 67440.6002637009 | 6261.39973629909 |
45 | 68485.3 | 70131.6049499491 | -1646.30494994907 |
46 | 71457 | 69424.0611862722 | 2032.9388137278 |
47 | 69774.6 | 70297.7712359409 | -523.17123594087 |
48 | 76479.7 | 70072.9243475582 | 6406.77565244182 |
49 | 71204.7 | 72826.4082378316 | -1621.70823783155 |
50 | 73783.9 | 72129.4355717306 | 1654.46442826936 |
51 | 71651 | 72840.486090338 | -1189.48609033803 |
52 | 78541.6 | 72329.2724994264 | 6212.32750057361 |
53 | 72714.4 | 74999.1870745391 | -2284.78707453913 |
54 | 75258 | 74017.2384714145 | 1240.76152858554 |
55 | 73168.1 | 74550.4890589123 | -1382.38905891226 |
56 | 79701.6 | 73956.3702368564 | 5745.22976314362 |
57 | 73944.5 | 76425.5370154224 | -2481.03701542242 |
58 | 76401.2 | 75359.2447299209 | 1041.95527007908 |
59 | 73948.1 | 75807.0529888936 | -1858.95298889355 |
60 | 80583.3 | 75008.1180198279 | 5575.18198017206 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 77404.2021970373 | 72423.886117832 | 82384.5182762427 |
62 | 77404.2021970373 | 71983.412066762 | 82824.9923273127 |
63 | 77404.2021970373 | 71576.1336469781 | 83232.2707470966 |
64 | 77404.2021970373 | 71195.5147019311 | 83612.8896921436 |
65 | 77404.2021970373 | 70836.918298835 | 83971.4860952397 |
66 | 77404.2021970373 | 70496.9136416571 | 84311.4907524176 |
67 | 77404.2021970373 | 70172.8777972481 | 84635.5265968265 |
68 | 77404.2021970373 | 69862.7520737066 | 84945.6523203681 |
69 | 77404.2021970373 | 69564.8854315032 | 85243.5189625715 |
70 | 77404.2021970373 | 69277.9296974171 | 85530.4746966576 |
71 | 77404.2021970373 | 69000.7670586083 | 85807.6373354664 |
72 | 77404.2021970373 | 68732.4584558119 | 86075.9459382628 |