Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.299879412252782 |
beta | 0 |
gamma | 0.349182850776405 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 33892 | 33798.3976961584 | 93.6023038415951 |
14 | 21560 | 21552.9720026785 | 7.02799732148924 |
15 | 26588 | 26888.1310517072 | -300.131051707198 |
16 | 33527 | 33929.5240389334 | -402.524038933356 |
17 | 24859 | 25109.3522847842 | -250.35228478421 |
18 | 17952 | 18072.0832006946 | -120.08320069464 |
19 | 45504 | 42850.4365793122 | 2653.56342068777 |
20 | 40129 | 44771.087406539 | -4642.08740653903 |
21 | 40357 | 44549.5657657189 | -4192.56576571891 |
22 | 41913 | 37901.5707251791 | 4011.42927482095 |
23 | 33730 | 36129.7009680399 | -2399.70096803994 |
24 | 37842 | 32996.4593697799 | 4845.54063022006 |
25 | 33025 | 32829.7714509667 | 195.228549033258 |
26 | 24050 | 20941.1724818495 | 3108.82751815046 |
27 | 30429 | 27209.3888990417 | 3219.6111009583 |
28 | 34507 | 35671.1619825215 | -1164.16198252153 |
29 | 25189 | 26248.5428154518 | -1059.5428154518 |
30 | 20253 | 18736.401931757 | 1516.59806824305 |
31 | 48527 | 46355.3389409546 | 2171.66105904542 |
32 | 44446 | 46275.7477951946 | -1829.74779519455 |
33 | 46380 | 47090.2980031004 | -710.298003100448 |
34 | 48950 | 43101.0793392308 | 5848.92066076915 |
35 | 38883 | 39770.2737958123 | -887.273795812296 |
36 | 42928 | 38731.2217916038 | 4196.7782083962 |
37 | 37107 | 36906.5305457332 | 200.4694542668 |
38 | 30186 | 24327.4526078805 | 5858.54739211946 |
39 | 32602 | 32244.5889745158 | 357.41102548422 |
40 | 39892 | 39535.1691910924 | 356.830808907573 |
41 | 32194 | 29409.9055566125 | 2784.0944433875 |
42 | 21629 | 22508.9016903962 | -879.901690396178 |
43 | 59968 | 53324.3310286009 | 6643.66897139913 |
44 | 45694 | 53339.683081199 | -7645.683081199 |
45 | 55756 | 52905.9993039098 | 2850.00069609021 |
46 | 48554 | 51211.8180620544 | -2657.81806205442 |
47 | 41052 | 43089.3371452171 | -2037.33714521712 |
48 | 49822 | 42959.2621826019 | 6862.73781739811 |
49 | 39191 | 40569.2102791524 | -1378.21027915242 |
50 | 31994 | 27845.4380757448 | 4148.56192425518 |
51 | 35735 | 34183.8893229551 | 1551.1106770449 |
52 | 38930 | 42327.2384151215 | -3397.23841512149 |
53 | 33658 | 31269.5484101878 | 2388.45158981219 |
54 | 23849 | 23057.1729841271 | 791.827015872852 |
55 | 58972 | 58047.8843362817 | 924.115663718301 |
56 | 59249 | 52638.3474655253 | 6610.65253447473 |
57 | 63955 | 59536.0061775168 | 4418.99382248316 |
58 | 53785 | 56508.9716928303 | -2723.97169283033 |
59 | 52760 | 47666.9318429067 | 5093.06815709334 |
60 | 44795 | 52234.4682698308 | -7439.46826983076 |
61 | 37348 | 43085.2062658501 | -5737.20626585011 |
62 | 32370 | 29937.2873490857 | 2432.71265091434 |
63 | 32717 | 35205.7453001402 | -2488.74530014017 |
64 | 40974 | 40801.3467616453 | 172.653238354709 |
65 | 33591 | 32136.1037191569 | 1454.89628084312 |
66 | 21124 | 23250.7063630654 | -2126.70636306539 |
67 | 58608 | 56096.8941821823 | 2511.1058178177 |
68 | 46865 | 52618.1462843655 | -5753.14628436547 |
69 | 51378 | 54823.7040192324 | -3445.70401923241 |
70 | 46235 | 48471.9813162077 | -2236.98131620768 |
71 | 47206 | 42443.7826692697 | 4762.21733073031 |
72 | 45382 | 43768.4281423932 | 1613.57185760684 |
73 | 41227 | 38220.5277659155 | 3006.47223408447 |
74 | 33795 | 29875.0224689907 | 3919.97753100931 |
75 | 31295 | 34350.2593572568 | -3055.25935725682 |
76 | 42625 | 40339.3898095476 | 2285.61019045239 |
77 | 33625 | 32590.077885417 | 1034.92211458299 |
78 | 21538 | 22697.0158892503 | -1159.01588925028 |
79 | 56421 | 57362.1369654417 | -941.136965441707 |
80 | 53152 | 50821.4691753984 | 2330.53082460164 |
81 | 53536 | 56187.9243639391 | -2651.9243639391 |
82 | 52408 | 50134.6584614178 | 2273.3415385822 |
83 | 41454 | 46861.8263071366 | -5407.82630713655 |
84 | 38271 | 44359.0796649402 | -6088.07966494024 |
85 | 35306 | 37091.4423342542 | -1785.44233425417 |
86 | 26414 | 28241.0030737985 | -1827.00307379846 |
87 | 31917 | 29045.7384414805 | 2871.26155851945 |
88 | 38030 | 37403.5710188032 | 626.428981196754 |
89 | 27534 | 29681.4224998943 | -2147.4224998943 |
90 | 18387 | 19621.4912786712 | -1234.49127867119 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
91 | 49828.0146536114 | 46267.7779824663 | 53388.2513247564 |
92 | 45023.5806222922 | 41044.7615949402 | 49002.3996496443 |
93 | 47981.5267531921 | 43435.5218056609 | 52527.5317007233 |
94 | 44408.7143520964 | 39627.0498209403 | 49190.3788832525 |
95 | 39313.1389102739 | 34442.0215017634 | 44184.2563187844 |
96 | 38308.7427464306 | 33123.0707046436 | 43494.4147882176 |
97 | 34199.8574762959 | 28990.1887014171 | 39409.5262511746 |
98 | 26305.3913238751 | 21451.3660678557 | 31159.4165798945 |
99 | 28698.2859829984 | 23194.1208503441 | 34202.4511156527 |
100 | 35206.5751187632 | 28487.8801630226 | 41925.2700745039 |
101 | 27180.6106619964 | 21313.3861514725 | 33047.8351725202 |
102 | 18409.6071120149 | 14974.5163881951 | 21844.6978358347 |