Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.225645293268359 |
beta | 0.000987392360344324 |
gamma | 0.443424096464966 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 41487.9961256583 | -3785.99612565827 |
14 | 30364 | 32384.3135659264 | -2020.31356592642 |
15 | 32609 | 34048.9003449238 | -1439.90034492376 |
16 | 30212 | 30953.1156725608 | -741.115672560802 |
17 | 29965 | 30167.1395456753 | -202.139545675338 |
18 | 28352 | 28194.2073966201 | 157.792603379919 |
19 | 25814 | 22076.4366659062 | 3737.56333409381 |
20 | 22414 | 20801.7144894322 | 1612.28551056781 |
21 | 20506 | 21128.5686532064 | -622.568653206425 |
22 | 28806 | 26754.335108881 | 2051.66489111902 |
23 | 22228 | 22075.9028005777 | 152.097199422253 |
24 | 13971 | 13470.7919101911 | 500.208089808935 |
25 | 36845 | 37059.3137240137 | -214.313724013737 |
26 | 35338 | 29795.3958325932 | 5542.60416740679 |
27 | 35022 | 33348.541292856 | 1673.45870714403 |
28 | 34777 | 31163.6755808977 | 3613.32441910227 |
29 | 26887 | 31542.0050931574 | -4655.00509315741 |
30 | 23970 | 28668.5927624313 | -4698.59276243134 |
31 | 22780 | 22752.5747448422 | 27.4252551577847 |
32 | 17351 | 20061.6524014616 | -2710.65240146157 |
33 | 21382 | 18709.3538920904 | 2672.64610790962 |
34 | 24561 | 25499.2125262374 | -938.212526237432 |
35 | 17409 | 20022.3003500512 | -2613.30035005118 |
36 | 11514 | 11945.8020671158 | -431.802067115779 |
37 | 31514 | 31811.4261592252 | -297.426159225179 |
38 | 27071 | 27135.3806512947 | -64.3806512946976 |
39 | 29462 | 27863.1439640993 | 1598.85603590074 |
40 | 26105 | 26585.9642618326 | -480.964261832625 |
41 | 22397 | 23768.4658044645 | -1371.46580446454 |
42 | 23843 | 21869.5517342631 | 1973.44826573692 |
43 | 21705 | 19509.0093190534 | 2195.99068094658 |
44 | 18089 | 16761.2059204826 | 1327.79407951737 |
45 | 20764 | 18040.650113601 | 2723.349886399 |
46 | 25316 | 23196.7451986702 | 2119.25480132980 |
47 | 17704 | 18102.2740810676 | -398.274081067633 |
48 | 15548 | 11461.2484194995 | 4086.75158050051 |
49 | 28029 | 33585.732192306 | -5556.732192306 |
50 | 29383 | 27714.335936425 | 1668.66406357501 |
51 | 36438 | 29460.6067813548 | 6977.39321864521 |
52 | 32034 | 28524.4603321013 | 3509.53966789867 |
53 | 22679 | 25984.4778564559 | -3305.47785645586 |
54 | 24319 | 24768.9290462075 | -449.929046207497 |
55 | 18004 | 21739.1115691862 | -3735.11156918616 |
56 | 17537 | 17326.7906944695 | 210.209305530538 |
57 | 20366 | 18791.3880695985 | 1574.61193040150 |
58 | 22782 | 23365.1325770419 | -583.132577041892 |
59 | 19169 | 17096.7342245367 | 2072.26577546332 |
60 | 13807 | 12536.8175875822 | 1270.18241241785 |
61 | 29743 | 29375.9445157682 | 367.055484231823 |
62 | 25591 | 27375.9606757853 | -1784.96067578530 |
63 | 29096 | 29846.2377203085 | -750.237720308509 |
64 | 26482 | 26330.5427575017 | 151.457242498342 |
65 | 22405 | 21404.0364779945 | 1000.96352200549 |
66 | 27044 | 22063.4126162714 | 4980.58738372855 |
67 | 17970 | 19291.7487681347 | -1321.74876813473 |
68 | 18730 | 16844.3884509960 | 1885.61154900405 |
69 | 19684 | 19126.6572632223 | 557.342736777737 |
70 | 19785 | 22649.0312084714 | -2864.03120847137 |
71 | 18479 | 16986.4154449648 | 1492.58455503518 |
72 | 10698 | 12281.3703145697 | -1583.37031456974 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 26500.4694000255 | 23700.5008901652 | 29300.4379098858 |
74 | 23936.4299306917 | 20958.0129138932 | 26914.8469474903 |
75 | 26838.7542875614 | 23558.7334559488 | 30118.7751191740 |
76 | 24044.3945150934 | 20689.1631270624 | 27399.6259031244 |
77 | 19771.0413341303 | 16444.4829297613 | 23097.5997384992 |
78 | 21290.8889617558 | 17665.0546426649 | 24916.7232808467 |
79 | 16074.2615858424 | 12658.6287597142 | 19489.8944119707 |
80 | 15127.0074091265 | 11599.8071980685 | 18654.2076201845 |
81 | 16276.3065960237 | 12432.0988042894 | 20120.5143877580 |
82 | 18074.0238746091 | 13808.7282152616 | 22339.3195339565 |
83 | 15011.1813023364 | 11004.4091627714 | 19017.9534419013 |
84 | 9844.60348053695 | 7800.62996017261 | 11888.5770009013 |