Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.00614643894836553 |
beta | 0.681427670122723 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 79 | 78.9895833333334 | 0.0104166666666003 |
14 | 85 | 84.7188576540888 | 0.281142345911178 |
15 | 83 | 82.3259734972522 | 0.674026502747779 |
16 | 81 | 80.4383272402099 | 0.561672759790071 |
17 | 90 | 89.7606762251891 | 0.239323774810913 |
18 | 85 | 84.9570462843991 | 0.0429537156008877 |
19 | 83 | 80.8607226057104 | 2.13927739428956 |
20 | 89 | 83.911243902645 | 5.088756097355 |
21 | 94 | 89.1678741668022 | 4.83212583319779 |
22 | 80 | 87.3181657202029 | -7.31816572020294 |
23 | 82 | 82.2381251828302 | -0.238125182830188 |
24 | 91 | 95.4089376632455 | -4.40893766324552 |
25 | 80 | 80.4626676175013 | -0.462667617501324 |
26 | 86 | 86.4640909698897 | -0.464090969889696 |
27 | 87 | 84.4599694346254 | 2.54003056537458 |
28 | 87 | 82.4828186091741 | 4.51718139082585 |
29 | 91 | 91.5363685876239 | -0.536368587623883 |
30 | 88 | 86.5568153323617 | 1.44318466763831 |
31 | 77 | 84.5824090171307 | -7.58240901713071 |
32 | 79 | 90.4936807905572 | -11.4936807905572 |
33 | 99 | 95.3130364242946 | 3.68696357570543 |
34 | 78 | 81.295583642632 | -3.295583642632 |
35 | 88 | 83.2085440198867 | 4.79145598011328 |
36 | 91 | 92.2179122009618 | -1.21791220096176 |
37 | 76 | 81.1794538023774 | -5.1794538023774 |
38 | 81 | 87.0968992104806 | -6.09689921048064 |
39 | 88 | 87.9666487542689 | 0.0333512457310974 |
40 | 88 | 87.8514262121015 | 0.148573787898513 |
41 | 91 | 91.7496759414111 | -0.74967594141107 |
42 | 91 | 88.6293440237533 | 2.37065597624665 |
43 | 79 | 77.5875508740508 | 1.41244912594919 |
44 | 79 | 79.6015822038433 | -0.601582203843279 |
45 | 97 | 99.5555474692567 | -2.55554746925672 |
46 | 77 | 78.5142747632064 | -1.51427476320642 |
47 | 86 | 88.4371564323664 | -2.43715643236642 |
48 | 93 | 91.3610258957142 | 1.63897410428577 |
49 | 74 | 76.3462640701074 | -2.34626407010741 |
50 | 74 | 81.3245126438921 | -7.32451264389206 |
51 | 88 | 88.2293418274718 | -0.229341827471842 |
52 | 86 | 88.1759725855105 | -2.17597258551052 |
53 | 94 | 91.1064235114548 | 2.89357648854516 |
54 | 88 | 91.0641144109773 | -3.06411441097725 |
55 | 81 | 78.9683135470527 | 2.03168645294731 |
56 | 75 | 78.9188064175105 | -3.91880641751048 |
57 | 100 | 96.8308411671535 | 3.16915883284648 |
58 | 76 | 76.8040186374495 | -0.804018637449545 |
59 | 86 | 85.7614224546109 | 0.238577545389148 |
60 | 91 | 92.7113877580325 | -1.7113877580325 |
61 | 79 | 73.6598302418248 | 5.34016975817515 |
62 | 71 | 73.7144066968917 | -2.71440669689167 |
63 | 87 | 87.6951749089822 | -0.695174908982196 |
64 | 86 | 85.698367979438 | 0.301632020561954 |
65 | 98 | 93.6869052730524 | 4.3130947269476 |
66 | 83 | 87.7426628049569 | -4.74266280495688 |
67 | 76 | 80.7044082929952 | -4.70440829299521 |
68 | 74 | 74.6747501047054 | -0.674750104705367 |
69 | 99 | 99.6398814736191 | -0.639881473619099 |
70 | 72 | 75.6136944456232 | -3.61369444562322 |
71 | 83 | 85.5510528882577 | -2.55105288825773 |
72 | 89 | 90.4952441764458 | -1.49524417644578 |
73 | 79 | 78.4034882463999 | 0.596511753600083 |
74 | 65 | 70.3542280119605 | -5.35422801196052 |
75 | 91 | 86.2449243289127 | 4.75507567108727 |
76 | 85 | 85.2144576273136 | -0.214457627313621 |
77 | 94 | 97.1266282161554 | -3.12662821615535 |
78 | 78 | 82.0453997969022 | -4.04539979690216 |
79 | 79 | 74.9612094592087 | 4.03879054079134 |
80 | 76 | 72.938559663903 | 3.06144033609695 |
81 | 105 | 97.9253368138998 | 7.07466318610015 |
82 | 76 | 70.9873705936896 | 5.01262940631041 |
83 | 84 | 82.0663288416057 | 1.93367115839429 |
84 | 93 | 88.138656606819 | 4.86134339318104 |
85 | 79 | 78.2427459168191 | 0.757254083180911 |
86 | 65 | 64.3588587968136 | 0.641141203186407 |
87 | 91 | 90.4372325042503 | 0.562767495749725 |
88 | 82 | 84.5281105565779 | -2.52811055657786 |
89 | 94 | 93.6081997978805 | 0.391800202119484 |
90 | 73 | 77.7266196880587 | -4.72661968805872 |
91 | 81 | 78.7610373507477 | 2.23896264925229 |
92 | 77 | 75.8367374477984 | 1.16326255220163 |
93 | 105 | 104.87320855094 | 0.126791449059709 |
94 | 74 | 75.8868830690534 | -1.88688306905337 |
95 | 82 | 83.8782076908522 | -1.87820769085218 |
96 | 93 | 92.8356253802867 | 0.164374619713271 |
97 | 83 | 78.8111506456322 | 4.18884935436783 |
98 | 66 | 64.8264985142736 | 1.1735014857264 |
99 | 86 | 90.8260241636313 | -4.8260241636313 |
100 | 83 | 81.7851018233155 | 1.21489817668451 |
101 | 93 | 93.7790396341417 | -0.779039634141739 |
102 | 72 | 72.7872779921034 | -0.78727799210337 |
103 | 78 | 80.7691515427888 | -2.7691515427888 |
104 | 79 | 76.7244796006989 | 2.27552039930107 |
105 | 105 | 104.7218435622 | 0.278156437800106 |
106 | 72 | 73.7199417456326 | -1.71994174563258 |
107 | 82 | 81.7064046271738 | 0.293595372826232 |
108 | 92 | 92.7017852633347 | -0.701785263334685 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 82.6626838810891 | 76.2320011120717 | 89.0933666501064 |
110 | 65.6288852485455 | 59.1978590647196 | 72.0599114323715 |
111 | 85.6270472949853 | 79.195342997622 | 92.0587515923486 |
112 | 82.6082922766135 | 76.175462500492 | 89.041122052735 |
113 | 92.5967044521446 | 86.1621893239959 | 99.0312195802934 |
114 | 71.5884301576745 | 65.1515575424988 | 78.0253027728503 |
115 | 77.5956347265776 | 71.1556205809993 | 84.0356488721559 |
116 | 78.5834307131301 | 72.1393795645171 | 85.0274818617431 |
117 | 104.573972691337 | 98.1248782608066 | 111.023067121867 |
118 | 71.5756308405308 | 65.1203768271763 | 78.0308848538852 |
119 | 81.5721166309101 | 75.1094776735753 | 88.034755588245 |
120 | 91.5734907863715 | 85.1021336180864 | 98.0448479546567 |