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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_exponentialsmoothing.wasp
Title produced by softwareExponential Smoothing
Date of computationWed, 18 May 2011 14:38:47 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/18/t1305729338xwigcsb4uebf70m.htm/, Retrieved Tue, 14 May 2024 18:19:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121874, Retrieved Tue, 14 May 2024 18:19:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W102
Estimated Impact95
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [Decompositie Mult...] [2011-05-12 13:19:04] [74be16979710d4c4e7c6647856088456]
- RMPD    [Exponential Smoothing] [Exponential Smoot...] [2011-05-18 14:38:47] [b6a4d57b1954500f7acfe068aef83c69] [Current]
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Dataseries X:
7992
6114
5965
8460
8323
6333
5675
10090
9035
6976
6459
10896
9978
7466
7199
10977
9412
6341
7784
11911
10079
7721
8197
12038
11963
8033
8618
13625
11734
8895
8727
13974
12583
9525
9662
15490
13839
10047
9788
14978
13045
9489
8741
13149
14106
9998
10034
15081
13266
9997
9027
14324
13149
11209
10332
15354
13800
11786
10550
16114
13255
11403
10269
14009
15847
12967
11328
15814
18626
13219
13818
18062
15722
12111
11702
15589
14852
13612
12380
15501
16322
12157
11124
14621
14035
11159
10944
15824
14378
11816
12233
17344
16812
12181
13275
18458
17375
14609
13323
18327
16053
15070
13806
18245
17461
14999
16022
20564
16372
15854
15115
18207
19488
16644
18631
21093
22212
19762
19403
21227
23176
20823
20647
21336
23458
22003
21647
26416
25226
24723
19945
24040
25034
24885
21168
23541
26019
24657
20599
24534
28717
26138
22968
26577
28660
30430
27356
25454
30194




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ www.wessa.org

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121874&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121874&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121874&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ www.wessa.org







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.287307754775613
beta0.027589438558662
gamma0.712133275623715

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.287307754775613 \tabularnewline
beta & 0.027589438558662 \tabularnewline
gamma & 0.712133275623715 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121874&T=1

[TABLE]
[ROW][C]Estimated Parameters of Exponential Smoothing[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]alpha[/C][C]0.287307754775613[/C][/ROW]
[ROW][C]beta[/C][C]0.027589438558662[/C][/ROW]
[ROW][C]gamma[/C][C]0.712133275623715[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121874&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121874&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.287307754775613
beta0.027589438558662
gamma0.712133275623715







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1399789386.09748931624591.902510683758
1474666998.52798744672467.472012553277
1571996868.28913007211330.710869927892
161097710791.2125017103185.787498289668
1794129302.05427242776109.945727572243
1863416269.4359499776871.5640500223217
1977847019.77420446043764.225795539574
201191111648.677307642262.32269235799
211007910696.7924331671-617.792433167131
2277218434.6049610162-713.6049610162
2381977687.27496962728509.72503037272
241203812353.9992549104-315.999254910381
251196311683.8911152053279.108884794712
2680339153.87106686948-1120.87106686948
2786188495.85796346025122.142036539752
281362512281.63108433591343.36891566409
291173411092.0650330551641.93496694486
3088958202.53049305412692.469506945883
3187279497.4483855628-770.448385562791
321397413433.1718175674540.828182432624
331258312119.3008181279463.699181872054
34952510132.4625362716-607.462536271631
35966210050.6045645543-388.604564554298
361549014047.12718121261442.87281878738
371383914205.3117263854-366.311726385366
381004710795.1256242294-748.125624229424
39978810893.8312855813-1105.83128558134
401497814955.633327305122.3666726949014
411304513029.085499249215.9145007507577
4294899978.9285532754-489.9285532754
43874110175.8746426824-1434.87464268243
441314914565.1689897207-1416.16898972072
451410612613.33074236091492.66925763915
46999810350.0697768555-352.069776855466
471003410426.2848676984-392.284867698396
481508115324.8734089377-243.873408937714
491326614040.4437919933-774.443791993306
50999710276.2002518646-279.200251864599
51902710288.7865885669-1261.78658856691
521432414837.8434696582-513.843469658186
531314912709.1788669694439.821133030637
54112099482.657520001421726.34247999858
55103329812.9082447306519.091755269395
561535414764.7174620363589.28253796366
571380014872.9170739222-1072.9170739222
581178610923.470879416862.529120583973
591055011325.0583832429-775.058383242913
601611416182.7817247224-68.7817247224102
611325514674.5488790263-1419.54887902626
621140310966.3729404933436.627059506718
631026910681.6616793044-412.661679304374
641400915856.7479589871-1847.74795898709
651584713820.74828082492026.25171917507
661296711707.43727099211259.56272900793
671132811291.626290892136.3737091079402
681581416137.3105341784-323.310534178414
691862615129.4016042333496.59839576697
701321913501.0400372728-282.040037272765
711381812759.51028370411058.48971629593
721806218533.8722073789-471.872207378889
731572216252.4638947119-530.463894711938
741211113777.0377982419-1666.03779824192
751170212475.7468122093-773.746812209287
761558916834.4496112836-1245.44961128355
771485216958.1584988835-2106.15849888353
781361213256.1839920238355.816007976216
791238011940.4775718912439.52242810879
801550116703.1993805035-1202.1993805035
811632217358.2987389232-1036.29873892317
821215712450.6849102469-293.684910246871
831112412326.9423933936-1202.94239339356
841462116597.715629711-1976.71562971105
851403513765.1343352184269.86566478157
861115910860.5704800092298.429519990841
871094410509.3852502924434.614749707562
881582414918.2667222788905.733277721189
891437815182.6528711644-804.652871164444
901181613073.9210451995-1257.92104519953
911223311294.0470992906938.952900709393
921734415327.97981121032016.02018878971
931681216978.3549851478-166.354985147769
941218112690.9351862109-509.935186210945
951327512035.22326432931239.77673567068
961845816626.09480075991831.90519924012
971737516069.16176031211305.83823968788
981460913526.14009314631082.8599068537
991332313525.0662196025-202.066219602486
1001832718040.7053022856286.294697714413
1011605317304.709722194-1251.70972219404
1021507014879.6065351839190.39346481611
1031380614684.4279822451-878.427982245119
1041824518782.0531569268-537.053156926835
1051746118610.2423950517-1149.24239505168
1061499913877.21928057821121.78071942182
1071602214602.4463591791419.55364082098
1082056419571.0181028372992.981897162761
1091637218524.9351343924-2152.93513439244
1101585414866.4709132621987.52908673793
1111511514176.5696170696938.430382930368
1121820719267.4840847362-1060.48408473621
1131948817353.02995130072134.97004869934
1141664416648.7721840988-4.77218409878697
1151863115869.42581613382761.57418386615
1162109321229.3292296624-136.329229662362
1172221220908.3392052141303.66079478602
1181976218098.50931026571663.49068973432
1191940319200.6355792502202.364420749836
1202122723663.4848939663-2436.48489396629
1212317620068.73639828413107.26360171587
1222082319590.44953671191232.5504632881
1232064719022.9636403811624.03635961902
1242133623378.7178180538-2042.71781805381
1252345822878.4418534809579.558146519143
1262200320703.57234982221299.4276501778
1272164721775.5371092259-128.537109225865
1282641624883.99736404011532.00263595991
1292522625836.0836874781-610.08368747808
1302472322706.78654333132016.21345666872
1311994523219.2218185703-3274.22181857028
1322404025366.9002791367-1326.90027913674
1332503424936.347791756397.6522082436677
1342488522649.81816215192235.1818378481
1352116822584.953695019-1416.95369501903
1362354124197.7744690695-656.774469069544
1372601925429.3264840353589.673515964714
1382465723625.54719775991031.45280224012
1392059923896.4862279825-3297.48622798252
1402453426912.8436135164-2378.8436135164
1412871725598.72042832443118.27957167564
1422613824847.67791962531290.32208037466
1432296822434.8780834207533.121916579283
1442657726663.3267530722-86.326753072226
1452866027320.60314212771339.39685787234
1463043026493.94036639093936.05963360905
1472735625095.89799922042260.10200077961
1482545428211.8492078771-2757.84920787708
1493019429516.5723603997677.427639600257

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
13 & 9978 & 9386.09748931624 & 591.902510683758 \tabularnewline
14 & 7466 & 6998.52798744672 & 467.472012553277 \tabularnewline
15 & 7199 & 6868.28913007211 & 330.710869927892 \tabularnewline
16 & 10977 & 10791.2125017103 & 185.787498289668 \tabularnewline
17 & 9412 & 9302.05427242776 & 109.945727572243 \tabularnewline
18 & 6341 & 6269.43594997768 & 71.5640500223217 \tabularnewline
19 & 7784 & 7019.77420446043 & 764.225795539574 \tabularnewline
20 & 11911 & 11648.677307642 & 262.32269235799 \tabularnewline
21 & 10079 & 10696.7924331671 & -617.792433167131 \tabularnewline
22 & 7721 & 8434.6049610162 & -713.6049610162 \tabularnewline
23 & 8197 & 7687.27496962728 & 509.72503037272 \tabularnewline
24 & 12038 & 12353.9992549104 & -315.999254910381 \tabularnewline
25 & 11963 & 11683.8911152053 & 279.108884794712 \tabularnewline
26 & 8033 & 9153.87106686948 & -1120.87106686948 \tabularnewline
27 & 8618 & 8495.85796346025 & 122.142036539752 \tabularnewline
28 & 13625 & 12281.6310843359 & 1343.36891566409 \tabularnewline
29 & 11734 & 11092.0650330551 & 641.93496694486 \tabularnewline
30 & 8895 & 8202.53049305412 & 692.469506945883 \tabularnewline
31 & 8727 & 9497.4483855628 & -770.448385562791 \tabularnewline
32 & 13974 & 13433.1718175674 & 540.828182432624 \tabularnewline
33 & 12583 & 12119.3008181279 & 463.699181872054 \tabularnewline
34 & 9525 & 10132.4625362716 & -607.462536271631 \tabularnewline
35 & 9662 & 10050.6045645543 & -388.604564554298 \tabularnewline
36 & 15490 & 14047.1271812126 & 1442.87281878738 \tabularnewline
37 & 13839 & 14205.3117263854 & -366.311726385366 \tabularnewline
38 & 10047 & 10795.1256242294 & -748.125624229424 \tabularnewline
39 & 9788 & 10893.8312855813 & -1105.83128558134 \tabularnewline
40 & 14978 & 14955.6333273051 & 22.3666726949014 \tabularnewline
41 & 13045 & 13029.0854992492 & 15.9145007507577 \tabularnewline
42 & 9489 & 9978.9285532754 & -489.9285532754 \tabularnewline
43 & 8741 & 10175.8746426824 & -1434.87464268243 \tabularnewline
44 & 13149 & 14565.1689897207 & -1416.16898972072 \tabularnewline
45 & 14106 & 12613.3307423609 & 1492.66925763915 \tabularnewline
46 & 9998 & 10350.0697768555 & -352.069776855466 \tabularnewline
47 & 10034 & 10426.2848676984 & -392.284867698396 \tabularnewline
48 & 15081 & 15324.8734089377 & -243.873408937714 \tabularnewline
49 & 13266 & 14040.4437919933 & -774.443791993306 \tabularnewline
50 & 9997 & 10276.2002518646 & -279.200251864599 \tabularnewline
51 & 9027 & 10288.7865885669 & -1261.78658856691 \tabularnewline
52 & 14324 & 14837.8434696582 & -513.843469658186 \tabularnewline
53 & 13149 & 12709.1788669694 & 439.821133030637 \tabularnewline
54 & 11209 & 9482.65752000142 & 1726.34247999858 \tabularnewline
55 & 10332 & 9812.9082447306 & 519.091755269395 \tabularnewline
56 & 15354 & 14764.7174620363 & 589.28253796366 \tabularnewline
57 & 13800 & 14872.9170739222 & -1072.9170739222 \tabularnewline
58 & 11786 & 10923.470879416 & 862.529120583973 \tabularnewline
59 & 10550 & 11325.0583832429 & -775.058383242913 \tabularnewline
60 & 16114 & 16182.7817247224 & -68.7817247224102 \tabularnewline
61 & 13255 & 14674.5488790263 & -1419.54887902626 \tabularnewline
62 & 11403 & 10966.3729404933 & 436.627059506718 \tabularnewline
63 & 10269 & 10681.6616793044 & -412.661679304374 \tabularnewline
64 & 14009 & 15856.7479589871 & -1847.74795898709 \tabularnewline
65 & 15847 & 13820.7482808249 & 2026.25171917507 \tabularnewline
66 & 12967 & 11707.4372709921 & 1259.56272900793 \tabularnewline
67 & 11328 & 11291.6262908921 & 36.3737091079402 \tabularnewline
68 & 15814 & 16137.3105341784 & -323.310534178414 \tabularnewline
69 & 18626 & 15129.401604233 & 3496.59839576697 \tabularnewline
70 & 13219 & 13501.0400372728 & -282.040037272765 \tabularnewline
71 & 13818 & 12759.5102837041 & 1058.48971629593 \tabularnewline
72 & 18062 & 18533.8722073789 & -471.872207378889 \tabularnewline
73 & 15722 & 16252.4638947119 & -530.463894711938 \tabularnewline
74 & 12111 & 13777.0377982419 & -1666.03779824192 \tabularnewline
75 & 11702 & 12475.7468122093 & -773.746812209287 \tabularnewline
76 & 15589 & 16834.4496112836 & -1245.44961128355 \tabularnewline
77 & 14852 & 16958.1584988835 & -2106.15849888353 \tabularnewline
78 & 13612 & 13256.1839920238 & 355.816007976216 \tabularnewline
79 & 12380 & 11940.4775718912 & 439.52242810879 \tabularnewline
80 & 15501 & 16703.1993805035 & -1202.1993805035 \tabularnewline
81 & 16322 & 17358.2987389232 & -1036.29873892317 \tabularnewline
82 & 12157 & 12450.6849102469 & -293.684910246871 \tabularnewline
83 & 11124 & 12326.9423933936 & -1202.94239339356 \tabularnewline
84 & 14621 & 16597.715629711 & -1976.71562971105 \tabularnewline
85 & 14035 & 13765.1343352184 & 269.86566478157 \tabularnewline
86 & 11159 & 10860.5704800092 & 298.429519990841 \tabularnewline
87 & 10944 & 10509.3852502924 & 434.614749707562 \tabularnewline
88 & 15824 & 14918.2667222788 & 905.733277721189 \tabularnewline
89 & 14378 & 15182.6528711644 & -804.652871164444 \tabularnewline
90 & 11816 & 13073.9210451995 & -1257.92104519953 \tabularnewline
91 & 12233 & 11294.0470992906 & 938.952900709393 \tabularnewline
92 & 17344 & 15327.9798112103 & 2016.02018878971 \tabularnewline
93 & 16812 & 16978.3549851478 & -166.354985147769 \tabularnewline
94 & 12181 & 12690.9351862109 & -509.935186210945 \tabularnewline
95 & 13275 & 12035.2232643293 & 1239.77673567068 \tabularnewline
96 & 18458 & 16626.0948007599 & 1831.90519924012 \tabularnewline
97 & 17375 & 16069.1617603121 & 1305.83823968788 \tabularnewline
98 & 14609 & 13526.1400931463 & 1082.8599068537 \tabularnewline
99 & 13323 & 13525.0662196025 & -202.066219602486 \tabularnewline
100 & 18327 & 18040.7053022856 & 286.294697714413 \tabularnewline
101 & 16053 & 17304.709722194 & -1251.70972219404 \tabularnewline
102 & 15070 & 14879.6065351839 & 190.39346481611 \tabularnewline
103 & 13806 & 14684.4279822451 & -878.427982245119 \tabularnewline
104 & 18245 & 18782.0531569268 & -537.053156926835 \tabularnewline
105 & 17461 & 18610.2423950517 & -1149.24239505168 \tabularnewline
106 & 14999 & 13877.2192805782 & 1121.78071942182 \tabularnewline
107 & 16022 & 14602.446359179 & 1419.55364082098 \tabularnewline
108 & 20564 & 19571.0181028372 & 992.981897162761 \tabularnewline
109 & 16372 & 18524.9351343924 & -2152.93513439244 \tabularnewline
110 & 15854 & 14866.4709132621 & 987.52908673793 \tabularnewline
111 & 15115 & 14176.5696170696 & 938.430382930368 \tabularnewline
112 & 18207 & 19267.4840847362 & -1060.48408473621 \tabularnewline
113 & 19488 & 17353.0299513007 & 2134.97004869934 \tabularnewline
114 & 16644 & 16648.7721840988 & -4.77218409878697 \tabularnewline
115 & 18631 & 15869.4258161338 & 2761.57418386615 \tabularnewline
116 & 21093 & 21229.3292296624 & -136.329229662362 \tabularnewline
117 & 22212 & 20908.339205214 & 1303.66079478602 \tabularnewline
118 & 19762 & 18098.5093102657 & 1663.49068973432 \tabularnewline
119 & 19403 & 19200.6355792502 & 202.364420749836 \tabularnewline
120 & 21227 & 23663.4848939663 & -2436.48489396629 \tabularnewline
121 & 23176 & 20068.7363982841 & 3107.26360171587 \tabularnewline
122 & 20823 & 19590.4495367119 & 1232.5504632881 \tabularnewline
123 & 20647 & 19022.963640381 & 1624.03635961902 \tabularnewline
124 & 21336 & 23378.7178180538 & -2042.71781805381 \tabularnewline
125 & 23458 & 22878.4418534809 & 579.558146519143 \tabularnewline
126 & 22003 & 20703.5723498222 & 1299.4276501778 \tabularnewline
127 & 21647 & 21775.5371092259 & -128.537109225865 \tabularnewline
128 & 26416 & 24883.9973640401 & 1532.00263595991 \tabularnewline
129 & 25226 & 25836.0836874781 & -610.08368747808 \tabularnewline
130 & 24723 & 22706.7865433313 & 2016.21345666872 \tabularnewline
131 & 19945 & 23219.2218185703 & -3274.22181857028 \tabularnewline
132 & 24040 & 25366.9002791367 & -1326.90027913674 \tabularnewline
133 & 25034 & 24936.3477917563 & 97.6522082436677 \tabularnewline
134 & 24885 & 22649.8181621519 & 2235.1818378481 \tabularnewline
135 & 21168 & 22584.953695019 & -1416.95369501903 \tabularnewline
136 & 23541 & 24197.7744690695 & -656.774469069544 \tabularnewline
137 & 26019 & 25429.3264840353 & 589.673515964714 \tabularnewline
138 & 24657 & 23625.5471977599 & 1031.45280224012 \tabularnewline
139 & 20599 & 23896.4862279825 & -3297.48622798252 \tabularnewline
140 & 24534 & 26912.8436135164 & -2378.8436135164 \tabularnewline
141 & 28717 & 25598.7204283244 & 3118.27957167564 \tabularnewline
142 & 26138 & 24847.6779196253 & 1290.32208037466 \tabularnewline
143 & 22968 & 22434.8780834207 & 533.121916579283 \tabularnewline
144 & 26577 & 26663.3267530722 & -86.326753072226 \tabularnewline
145 & 28660 & 27320.6031421277 & 1339.39685787234 \tabularnewline
146 & 30430 & 26493.9403663909 & 3936.05963360905 \tabularnewline
147 & 27356 & 25095.8979992204 & 2260.10200077961 \tabularnewline
148 & 25454 & 28211.8492078771 & -2757.84920787708 \tabularnewline
149 & 30194 & 29516.5723603997 & 677.427639600257 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121874&T=2

[TABLE]
[ROW][C]Interpolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Observed[/C][C]Fitted[/C][C]Residuals[/C][/ROW]
[ROW][C]13[/C][C]9978[/C][C]9386.09748931624[/C][C]591.902510683758[/C][/ROW]
[ROW][C]14[/C][C]7466[/C][C]6998.52798744672[/C][C]467.472012553277[/C][/ROW]
[ROW][C]15[/C][C]7199[/C][C]6868.28913007211[/C][C]330.710869927892[/C][/ROW]
[ROW][C]16[/C][C]10977[/C][C]10791.2125017103[/C][C]185.787498289668[/C][/ROW]
[ROW][C]17[/C][C]9412[/C][C]9302.05427242776[/C][C]109.945727572243[/C][/ROW]
[ROW][C]18[/C][C]6341[/C][C]6269.43594997768[/C][C]71.5640500223217[/C][/ROW]
[ROW][C]19[/C][C]7784[/C][C]7019.77420446043[/C][C]764.225795539574[/C][/ROW]
[ROW][C]20[/C][C]11911[/C][C]11648.677307642[/C][C]262.32269235799[/C][/ROW]
[ROW][C]21[/C][C]10079[/C][C]10696.7924331671[/C][C]-617.792433167131[/C][/ROW]
[ROW][C]22[/C][C]7721[/C][C]8434.6049610162[/C][C]-713.6049610162[/C][/ROW]
[ROW][C]23[/C][C]8197[/C][C]7687.27496962728[/C][C]509.72503037272[/C][/ROW]
[ROW][C]24[/C][C]12038[/C][C]12353.9992549104[/C][C]-315.999254910381[/C][/ROW]
[ROW][C]25[/C][C]11963[/C][C]11683.8911152053[/C][C]279.108884794712[/C][/ROW]
[ROW][C]26[/C][C]8033[/C][C]9153.87106686948[/C][C]-1120.87106686948[/C][/ROW]
[ROW][C]27[/C][C]8618[/C][C]8495.85796346025[/C][C]122.142036539752[/C][/ROW]
[ROW][C]28[/C][C]13625[/C][C]12281.6310843359[/C][C]1343.36891566409[/C][/ROW]
[ROW][C]29[/C][C]11734[/C][C]11092.0650330551[/C][C]641.93496694486[/C][/ROW]
[ROW][C]30[/C][C]8895[/C][C]8202.53049305412[/C][C]692.469506945883[/C][/ROW]
[ROW][C]31[/C][C]8727[/C][C]9497.4483855628[/C][C]-770.448385562791[/C][/ROW]
[ROW][C]32[/C][C]13974[/C][C]13433.1718175674[/C][C]540.828182432624[/C][/ROW]
[ROW][C]33[/C][C]12583[/C][C]12119.3008181279[/C][C]463.699181872054[/C][/ROW]
[ROW][C]34[/C][C]9525[/C][C]10132.4625362716[/C][C]-607.462536271631[/C][/ROW]
[ROW][C]35[/C][C]9662[/C][C]10050.6045645543[/C][C]-388.604564554298[/C][/ROW]
[ROW][C]36[/C][C]15490[/C][C]14047.1271812126[/C][C]1442.87281878738[/C][/ROW]
[ROW][C]37[/C][C]13839[/C][C]14205.3117263854[/C][C]-366.311726385366[/C][/ROW]
[ROW][C]38[/C][C]10047[/C][C]10795.1256242294[/C][C]-748.125624229424[/C][/ROW]
[ROW][C]39[/C][C]9788[/C][C]10893.8312855813[/C][C]-1105.83128558134[/C][/ROW]
[ROW][C]40[/C][C]14978[/C][C]14955.6333273051[/C][C]22.3666726949014[/C][/ROW]
[ROW][C]41[/C][C]13045[/C][C]13029.0854992492[/C][C]15.9145007507577[/C][/ROW]
[ROW][C]42[/C][C]9489[/C][C]9978.9285532754[/C][C]-489.9285532754[/C][/ROW]
[ROW][C]43[/C][C]8741[/C][C]10175.8746426824[/C][C]-1434.87464268243[/C][/ROW]
[ROW][C]44[/C][C]13149[/C][C]14565.1689897207[/C][C]-1416.16898972072[/C][/ROW]
[ROW][C]45[/C][C]14106[/C][C]12613.3307423609[/C][C]1492.66925763915[/C][/ROW]
[ROW][C]46[/C][C]9998[/C][C]10350.0697768555[/C][C]-352.069776855466[/C][/ROW]
[ROW][C]47[/C][C]10034[/C][C]10426.2848676984[/C][C]-392.284867698396[/C][/ROW]
[ROW][C]48[/C][C]15081[/C][C]15324.8734089377[/C][C]-243.873408937714[/C][/ROW]
[ROW][C]49[/C][C]13266[/C][C]14040.4437919933[/C][C]-774.443791993306[/C][/ROW]
[ROW][C]50[/C][C]9997[/C][C]10276.2002518646[/C][C]-279.200251864599[/C][/ROW]
[ROW][C]51[/C][C]9027[/C][C]10288.7865885669[/C][C]-1261.78658856691[/C][/ROW]
[ROW][C]52[/C][C]14324[/C][C]14837.8434696582[/C][C]-513.843469658186[/C][/ROW]
[ROW][C]53[/C][C]13149[/C][C]12709.1788669694[/C][C]439.821133030637[/C][/ROW]
[ROW][C]54[/C][C]11209[/C][C]9482.65752000142[/C][C]1726.34247999858[/C][/ROW]
[ROW][C]55[/C][C]10332[/C][C]9812.9082447306[/C][C]519.091755269395[/C][/ROW]
[ROW][C]56[/C][C]15354[/C][C]14764.7174620363[/C][C]589.28253796366[/C][/ROW]
[ROW][C]57[/C][C]13800[/C][C]14872.9170739222[/C][C]-1072.9170739222[/C][/ROW]
[ROW][C]58[/C][C]11786[/C][C]10923.470879416[/C][C]862.529120583973[/C][/ROW]
[ROW][C]59[/C][C]10550[/C][C]11325.0583832429[/C][C]-775.058383242913[/C][/ROW]
[ROW][C]60[/C][C]16114[/C][C]16182.7817247224[/C][C]-68.7817247224102[/C][/ROW]
[ROW][C]61[/C][C]13255[/C][C]14674.5488790263[/C][C]-1419.54887902626[/C][/ROW]
[ROW][C]62[/C][C]11403[/C][C]10966.3729404933[/C][C]436.627059506718[/C][/ROW]
[ROW][C]63[/C][C]10269[/C][C]10681.6616793044[/C][C]-412.661679304374[/C][/ROW]
[ROW][C]64[/C][C]14009[/C][C]15856.7479589871[/C][C]-1847.74795898709[/C][/ROW]
[ROW][C]65[/C][C]15847[/C][C]13820.7482808249[/C][C]2026.25171917507[/C][/ROW]
[ROW][C]66[/C][C]12967[/C][C]11707.4372709921[/C][C]1259.56272900793[/C][/ROW]
[ROW][C]67[/C][C]11328[/C][C]11291.6262908921[/C][C]36.3737091079402[/C][/ROW]
[ROW][C]68[/C][C]15814[/C][C]16137.3105341784[/C][C]-323.310534178414[/C][/ROW]
[ROW][C]69[/C][C]18626[/C][C]15129.401604233[/C][C]3496.59839576697[/C][/ROW]
[ROW][C]70[/C][C]13219[/C][C]13501.0400372728[/C][C]-282.040037272765[/C][/ROW]
[ROW][C]71[/C][C]13818[/C][C]12759.5102837041[/C][C]1058.48971629593[/C][/ROW]
[ROW][C]72[/C][C]18062[/C][C]18533.8722073789[/C][C]-471.872207378889[/C][/ROW]
[ROW][C]73[/C][C]15722[/C][C]16252.4638947119[/C][C]-530.463894711938[/C][/ROW]
[ROW][C]74[/C][C]12111[/C][C]13777.0377982419[/C][C]-1666.03779824192[/C][/ROW]
[ROW][C]75[/C][C]11702[/C][C]12475.7468122093[/C][C]-773.746812209287[/C][/ROW]
[ROW][C]76[/C][C]15589[/C][C]16834.4496112836[/C][C]-1245.44961128355[/C][/ROW]
[ROW][C]77[/C][C]14852[/C][C]16958.1584988835[/C][C]-2106.15849888353[/C][/ROW]
[ROW][C]78[/C][C]13612[/C][C]13256.1839920238[/C][C]355.816007976216[/C][/ROW]
[ROW][C]79[/C][C]12380[/C][C]11940.4775718912[/C][C]439.52242810879[/C][/ROW]
[ROW][C]80[/C][C]15501[/C][C]16703.1993805035[/C][C]-1202.1993805035[/C][/ROW]
[ROW][C]81[/C][C]16322[/C][C]17358.2987389232[/C][C]-1036.29873892317[/C][/ROW]
[ROW][C]82[/C][C]12157[/C][C]12450.6849102469[/C][C]-293.684910246871[/C][/ROW]
[ROW][C]83[/C][C]11124[/C][C]12326.9423933936[/C][C]-1202.94239339356[/C][/ROW]
[ROW][C]84[/C][C]14621[/C][C]16597.715629711[/C][C]-1976.71562971105[/C][/ROW]
[ROW][C]85[/C][C]14035[/C][C]13765.1343352184[/C][C]269.86566478157[/C][/ROW]
[ROW][C]86[/C][C]11159[/C][C]10860.5704800092[/C][C]298.429519990841[/C][/ROW]
[ROW][C]87[/C][C]10944[/C][C]10509.3852502924[/C][C]434.614749707562[/C][/ROW]
[ROW][C]88[/C][C]15824[/C][C]14918.2667222788[/C][C]905.733277721189[/C][/ROW]
[ROW][C]89[/C][C]14378[/C][C]15182.6528711644[/C][C]-804.652871164444[/C][/ROW]
[ROW][C]90[/C][C]11816[/C][C]13073.9210451995[/C][C]-1257.92104519953[/C][/ROW]
[ROW][C]91[/C][C]12233[/C][C]11294.0470992906[/C][C]938.952900709393[/C][/ROW]
[ROW][C]92[/C][C]17344[/C][C]15327.9798112103[/C][C]2016.02018878971[/C][/ROW]
[ROW][C]93[/C][C]16812[/C][C]16978.3549851478[/C][C]-166.354985147769[/C][/ROW]
[ROW][C]94[/C][C]12181[/C][C]12690.9351862109[/C][C]-509.935186210945[/C][/ROW]
[ROW][C]95[/C][C]13275[/C][C]12035.2232643293[/C][C]1239.77673567068[/C][/ROW]
[ROW][C]96[/C][C]18458[/C][C]16626.0948007599[/C][C]1831.90519924012[/C][/ROW]
[ROW][C]97[/C][C]17375[/C][C]16069.1617603121[/C][C]1305.83823968788[/C][/ROW]
[ROW][C]98[/C][C]14609[/C][C]13526.1400931463[/C][C]1082.8599068537[/C][/ROW]
[ROW][C]99[/C][C]13323[/C][C]13525.0662196025[/C][C]-202.066219602486[/C][/ROW]
[ROW][C]100[/C][C]18327[/C][C]18040.7053022856[/C][C]286.294697714413[/C][/ROW]
[ROW][C]101[/C][C]16053[/C][C]17304.709722194[/C][C]-1251.70972219404[/C][/ROW]
[ROW][C]102[/C][C]15070[/C][C]14879.6065351839[/C][C]190.39346481611[/C][/ROW]
[ROW][C]103[/C][C]13806[/C][C]14684.4279822451[/C][C]-878.427982245119[/C][/ROW]
[ROW][C]104[/C][C]18245[/C][C]18782.0531569268[/C][C]-537.053156926835[/C][/ROW]
[ROW][C]105[/C][C]17461[/C][C]18610.2423950517[/C][C]-1149.24239505168[/C][/ROW]
[ROW][C]106[/C][C]14999[/C][C]13877.2192805782[/C][C]1121.78071942182[/C][/ROW]
[ROW][C]107[/C][C]16022[/C][C]14602.446359179[/C][C]1419.55364082098[/C][/ROW]
[ROW][C]108[/C][C]20564[/C][C]19571.0181028372[/C][C]992.981897162761[/C][/ROW]
[ROW][C]109[/C][C]16372[/C][C]18524.9351343924[/C][C]-2152.93513439244[/C][/ROW]
[ROW][C]110[/C][C]15854[/C][C]14866.4709132621[/C][C]987.52908673793[/C][/ROW]
[ROW][C]111[/C][C]15115[/C][C]14176.5696170696[/C][C]938.430382930368[/C][/ROW]
[ROW][C]112[/C][C]18207[/C][C]19267.4840847362[/C][C]-1060.48408473621[/C][/ROW]
[ROW][C]113[/C][C]19488[/C][C]17353.0299513007[/C][C]2134.97004869934[/C][/ROW]
[ROW][C]114[/C][C]16644[/C][C]16648.7721840988[/C][C]-4.77218409878697[/C][/ROW]
[ROW][C]115[/C][C]18631[/C][C]15869.4258161338[/C][C]2761.57418386615[/C][/ROW]
[ROW][C]116[/C][C]21093[/C][C]21229.3292296624[/C][C]-136.329229662362[/C][/ROW]
[ROW][C]117[/C][C]22212[/C][C]20908.339205214[/C][C]1303.66079478602[/C][/ROW]
[ROW][C]118[/C][C]19762[/C][C]18098.5093102657[/C][C]1663.49068973432[/C][/ROW]
[ROW][C]119[/C][C]19403[/C][C]19200.6355792502[/C][C]202.364420749836[/C][/ROW]
[ROW][C]120[/C][C]21227[/C][C]23663.4848939663[/C][C]-2436.48489396629[/C][/ROW]
[ROW][C]121[/C][C]23176[/C][C]20068.7363982841[/C][C]3107.26360171587[/C][/ROW]
[ROW][C]122[/C][C]20823[/C][C]19590.4495367119[/C][C]1232.5504632881[/C][/ROW]
[ROW][C]123[/C][C]20647[/C][C]19022.963640381[/C][C]1624.03635961902[/C][/ROW]
[ROW][C]124[/C][C]21336[/C][C]23378.7178180538[/C][C]-2042.71781805381[/C][/ROW]
[ROW][C]125[/C][C]23458[/C][C]22878.4418534809[/C][C]579.558146519143[/C][/ROW]
[ROW][C]126[/C][C]22003[/C][C]20703.5723498222[/C][C]1299.4276501778[/C][/ROW]
[ROW][C]127[/C][C]21647[/C][C]21775.5371092259[/C][C]-128.537109225865[/C][/ROW]
[ROW][C]128[/C][C]26416[/C][C]24883.9973640401[/C][C]1532.00263595991[/C][/ROW]
[ROW][C]129[/C][C]25226[/C][C]25836.0836874781[/C][C]-610.08368747808[/C][/ROW]
[ROW][C]130[/C][C]24723[/C][C]22706.7865433313[/C][C]2016.21345666872[/C][/ROW]
[ROW][C]131[/C][C]19945[/C][C]23219.2218185703[/C][C]-3274.22181857028[/C][/ROW]
[ROW][C]132[/C][C]24040[/C][C]25366.9002791367[/C][C]-1326.90027913674[/C][/ROW]
[ROW][C]133[/C][C]25034[/C][C]24936.3477917563[/C][C]97.6522082436677[/C][/ROW]
[ROW][C]134[/C][C]24885[/C][C]22649.8181621519[/C][C]2235.1818378481[/C][/ROW]
[ROW][C]135[/C][C]21168[/C][C]22584.953695019[/C][C]-1416.95369501903[/C][/ROW]
[ROW][C]136[/C][C]23541[/C][C]24197.7744690695[/C][C]-656.774469069544[/C][/ROW]
[ROW][C]137[/C][C]26019[/C][C]25429.3264840353[/C][C]589.673515964714[/C][/ROW]
[ROW][C]138[/C][C]24657[/C][C]23625.5471977599[/C][C]1031.45280224012[/C][/ROW]
[ROW][C]139[/C][C]20599[/C][C]23896.4862279825[/C][C]-3297.48622798252[/C][/ROW]
[ROW][C]140[/C][C]24534[/C][C]26912.8436135164[/C][C]-2378.8436135164[/C][/ROW]
[ROW][C]141[/C][C]28717[/C][C]25598.7204283244[/C][C]3118.27957167564[/C][/ROW]
[ROW][C]142[/C][C]26138[/C][C]24847.6779196253[/C][C]1290.32208037466[/C][/ROW]
[ROW][C]143[/C][C]22968[/C][C]22434.8780834207[/C][C]533.121916579283[/C][/ROW]
[ROW][C]144[/C][C]26577[/C][C]26663.3267530722[/C][C]-86.326753072226[/C][/ROW]
[ROW][C]145[/C][C]28660[/C][C]27320.6031421277[/C][C]1339.39685787234[/C][/ROW]
[ROW][C]146[/C][C]30430[/C][C]26493.9403663909[/C][C]3936.05963360905[/C][/ROW]
[ROW][C]147[/C][C]27356[/C][C]25095.8979992204[/C][C]2260.10200077961[/C][/ROW]
[ROW][C]148[/C][C]25454[/C][C]28211.8492078771[/C][C]-2757.84920787708[/C][/ROW]
[ROW][C]149[/C][C]30194[/C][C]29516.5723603997[/C][C]677.427639600257[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121874&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121874&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
1399789386.09748931624591.902510683758
1474666998.52798744672467.472012553277
1571996868.28913007211330.710869927892
161097710791.2125017103185.787498289668
1794129302.05427242776109.945727572243
1863416269.4359499776871.5640500223217
1977847019.77420446043764.225795539574
201191111648.677307642262.32269235799
211007910696.7924331671-617.792433167131
2277218434.6049610162-713.6049610162
2381977687.27496962728509.72503037272
241203812353.9992549104-315.999254910381
251196311683.8911152053279.108884794712
2680339153.87106686948-1120.87106686948
2786188495.85796346025122.142036539752
281362512281.63108433591343.36891566409
291173411092.0650330551641.93496694486
3088958202.53049305412692.469506945883
3187279497.4483855628-770.448385562791
321397413433.1718175674540.828182432624
331258312119.3008181279463.699181872054
34952510132.4625362716-607.462536271631
35966210050.6045645543-388.604564554298
361549014047.12718121261442.87281878738
371383914205.3117263854-366.311726385366
381004710795.1256242294-748.125624229424
39978810893.8312855813-1105.83128558134
401497814955.633327305122.3666726949014
411304513029.085499249215.9145007507577
4294899978.9285532754-489.9285532754
43874110175.8746426824-1434.87464268243
441314914565.1689897207-1416.16898972072
451410612613.33074236091492.66925763915
46999810350.0697768555-352.069776855466
471003410426.2848676984-392.284867698396
481508115324.8734089377-243.873408937714
491326614040.4437919933-774.443791993306
50999710276.2002518646-279.200251864599
51902710288.7865885669-1261.78658856691
521432414837.8434696582-513.843469658186
531314912709.1788669694439.821133030637
54112099482.657520001421726.34247999858
55103329812.9082447306519.091755269395
561535414764.7174620363589.28253796366
571380014872.9170739222-1072.9170739222
581178610923.470879416862.529120583973
591055011325.0583832429-775.058383242913
601611416182.7817247224-68.7817247224102
611325514674.5488790263-1419.54887902626
621140310966.3729404933436.627059506718
631026910681.6616793044-412.661679304374
641400915856.7479589871-1847.74795898709
651584713820.74828082492026.25171917507
661296711707.43727099211259.56272900793
671132811291.626290892136.3737091079402
681581416137.3105341784-323.310534178414
691862615129.4016042333496.59839576697
701321913501.0400372728-282.040037272765
711381812759.51028370411058.48971629593
721806218533.8722073789-471.872207378889
731572216252.4638947119-530.463894711938
741211113777.0377982419-1666.03779824192
751170212475.7468122093-773.746812209287
761558916834.4496112836-1245.44961128355
771485216958.1584988835-2106.15849888353
781361213256.1839920238355.816007976216
791238011940.4775718912439.52242810879
801550116703.1993805035-1202.1993805035
811632217358.2987389232-1036.29873892317
821215712450.6849102469-293.684910246871
831112412326.9423933936-1202.94239339356
841462116597.715629711-1976.71562971105
851403513765.1343352184269.86566478157
861115910860.5704800092298.429519990841
871094410509.3852502924434.614749707562
881582414918.2667222788905.733277721189
891437815182.6528711644-804.652871164444
901181613073.9210451995-1257.92104519953
911223311294.0470992906938.952900709393
921734415327.97981121032016.02018878971
931681216978.3549851478-166.354985147769
941218112690.9351862109-509.935186210945
951327512035.22326432931239.77673567068
961845816626.09480075991831.90519924012
971737516069.16176031211305.83823968788
981460913526.14009314631082.8599068537
991332313525.0662196025-202.066219602486
1001832718040.7053022856286.294697714413
1011605317304.709722194-1251.70972219404
1021507014879.6065351839190.39346481611
1031380614684.4279822451-878.427982245119
1041824518782.0531569268-537.053156926835
1051746118610.2423950517-1149.24239505168
1061499913877.21928057821121.78071942182
1071602214602.4463591791419.55364082098
1082056419571.0181028372992.981897162761
1091637218524.9351343924-2152.93513439244
1101585414866.4709132621987.52908673793
1111511514176.5696170696938.430382930368
1121820719267.4840847362-1060.48408473621
1131948817353.02995130072134.97004869934
1141664416648.7721840988-4.77218409878697
1151863115869.42581613382761.57418386615
1162109321229.3292296624-136.329229662362
1172221220908.3392052141303.66079478602
1181976218098.50931026571663.49068973432
1191940319200.6355792502202.364420749836
1202122723663.4848939663-2436.48489396629
1212317620068.73639828413107.26360171587
1222082319590.44953671191232.5504632881
1232064719022.9636403811624.03635961902
1242133623378.7178180538-2042.71781805381
1252345822878.4418534809579.558146519143
1262200320703.57234982221299.4276501778
1272164721775.5371092259-128.537109225865
1282641624883.99736404011532.00263595991
1292522625836.0836874781-610.08368747808
1302472322706.78654333132016.21345666872
1311994523219.2218185703-3274.22181857028
1322404025366.9002791367-1326.90027913674
1332503424936.347791756397.6522082436677
1342488522649.81816215192235.1818378481
1352116822584.953695019-1416.95369501903
1362354124197.7744690695-656.774469069544
1372601925429.3264840353589.673515964714
1382465723625.54719775991031.45280224012
1392059923896.4862279825-3297.48622798252
1402453426912.8436135164-2378.8436135164
1412871725598.72042832443118.27957167564
1422613824847.67791962531290.32208037466
1432296822434.8780834207533.121916579283
1442657726663.3267530722-86.326753072226
1452866027320.60314212771339.39685787234
1463043026493.94036639093936.05963360905
1472735625095.89799922042260.10200077961
1482545428211.8492078771-2757.84920787708
1493019429516.5723603997677.427639600257







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
15028007.132310946625448.77962170430565.4850001893
15125821.386218169623153.865392435428488.9070439039
15230314.249173975627536.26217284433092.2361751073
15332555.279469974529665.534802720335445.0241372287
15430037.594938430427034.808359716133040.3815171446
15526916.554959424823799.450011595730033.6599072539
15630720.000361735727487.308791461133952.6919320102
15732168.92027065528819.382343311235518.4581979988
15832307.951558052928840.316288661335775.5868274446
15928929.87110064925342.89641658132516.845784717
16028833.216558311325125.669406117632540.763710505
16132679.173371769628849.829778215936508.5169653234

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
150 & 28007.1323109466 & 25448.779621704 & 30565.4850001893 \tabularnewline
151 & 25821.3862181696 & 23153.8653924354 & 28488.9070439039 \tabularnewline
152 & 30314.2491739756 & 27536.262172844 & 33092.2361751073 \tabularnewline
153 & 32555.2794699745 & 29665.5348027203 & 35445.0241372287 \tabularnewline
154 & 30037.5949384304 & 27034.8083597161 & 33040.3815171446 \tabularnewline
155 & 26916.5549594248 & 23799.4500115957 & 30033.6599072539 \tabularnewline
156 & 30720.0003617357 & 27487.3087914611 & 33952.6919320102 \tabularnewline
157 & 32168.920270655 & 28819.3823433112 & 35518.4581979988 \tabularnewline
158 & 32307.9515580529 & 28840.3162886613 & 35775.5868274446 \tabularnewline
159 & 28929.871100649 & 25342.896416581 & 32516.845784717 \tabularnewline
160 & 28833.2165583113 & 25125.6694061176 & 32540.763710505 \tabularnewline
161 & 32679.1733717696 & 28849.8297782159 & 36508.5169653234 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121874&T=3

[TABLE]
[ROW][C]Extrapolation Forecasts of Exponential Smoothing[/C][/ROW]
[ROW][C]t[/C][C]Forecast[/C][C]95% Lower Bound[/C][C]95% Upper Bound[/C][/ROW]
[ROW][C]150[/C][C]28007.1323109466[/C][C]25448.779621704[/C][C]30565.4850001893[/C][/ROW]
[ROW][C]151[/C][C]25821.3862181696[/C][C]23153.8653924354[/C][C]28488.9070439039[/C][/ROW]
[ROW][C]152[/C][C]30314.2491739756[/C][C]27536.262172844[/C][C]33092.2361751073[/C][/ROW]
[ROW][C]153[/C][C]32555.2794699745[/C][C]29665.5348027203[/C][C]35445.0241372287[/C][/ROW]
[ROW][C]154[/C][C]30037.5949384304[/C][C]27034.8083597161[/C][C]33040.3815171446[/C][/ROW]
[ROW][C]155[/C][C]26916.5549594248[/C][C]23799.4500115957[/C][C]30033.6599072539[/C][/ROW]
[ROW][C]156[/C][C]30720.0003617357[/C][C]27487.3087914611[/C][C]33952.6919320102[/C][/ROW]
[ROW][C]157[/C][C]32168.920270655[/C][C]28819.3823433112[/C][C]35518.4581979988[/C][/ROW]
[ROW][C]158[/C][C]32307.9515580529[/C][C]28840.3162886613[/C][C]35775.5868274446[/C][/ROW]
[ROW][C]159[/C][C]28929.871100649[/C][C]25342.896416581[/C][C]32516.845784717[/C][/ROW]
[ROW][C]160[/C][C]28833.2165583113[/C][C]25125.6694061176[/C][C]32540.763710505[/C][/ROW]
[ROW][C]161[/C][C]32679.1733717696[/C][C]28849.8297782159[/C][C]36508.5169653234[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121874&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121874&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
15028007.132310946625448.77962170430565.4850001893
15125821.386218169623153.865392435428488.9070439039
15230314.249173975627536.26217284433092.2361751073
15332555.279469974529665.534802720335445.0241372287
15430037.594938430427034.808359716133040.3815171446
15526916.554959424823799.450011595730033.6599072539
15630720.000361735727487.308791461133952.6919320102
15732168.92027065528819.382343311235518.4581979988
15832307.951558052928840.316288661335775.5868274446
15928929.87110064925342.89641658132516.845784717
16028833.216558311325125.669406117632540.763710505
16132679.173371769628849.829778215936508.5169653234



Parameters (Session):
par1 = 12 ; par2 = Triple ; par3 = additive ;
Parameters (R input):
par1 = 12 ; par2 = Triple ; par3 = additive ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
if (par2 == 'Single') K <- 1
if (par2 == 'Double') K <- 2
if (par2 == 'Triple') K <- par1
nx <- length(x)
nxmK <- nx - K
x <- ts(x, frequency = par1)
if (par2 == 'Single') fit <- HoltWinters(x, gamma=F, beta=F)
if (par2 == 'Double') fit <- HoltWinters(x, gamma=F)
if (par2 == 'Triple') fit <- HoltWinters(x, seasonal=par3)
fit
myresid <- x - fit$fitted[,'xhat']
bitmap(file='test1.png')
op <- par(mfrow=c(2,1))
plot(fit,ylab='Observed (black) / Fitted (red)',main='Interpolation Fit of Exponential Smoothing')
plot(myresid,ylab='Residuals',main='Interpolation Prediction Errors')
par(op)
dev.off()
bitmap(file='test2.png')
p <- predict(fit, par1, prediction.interval=TRUE)
np <- length(p[,1])
plot(fit,p,ylab='Observed (black) / Fitted (red)',main='Extrapolation Fit of Exponential Smoothing')
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(myresid),lag.max = nx/2,main='Residual ACF')
spectrum(myresid,main='Residals Periodogram')
cpgram(myresid,main='Residal Cumulative Periodogram')
qqnorm(myresid,main='Residual Normal QQ Plot')
qqline(myresid)
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated Parameters of Exponential Smoothing',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,fit$alpha)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,fit$beta)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'gamma',header=TRUE)
a<-table.element(a,fit$gamma)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Interpolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observed',header=TRUE)
a<-table.element(a,'Fitted',header=TRUE)
a<-table.element(a,'Residuals',header=TRUE)
a<-table.row.end(a)
for (i in 1:nxmK) {
a<-table.row.start(a)
a<-table.element(a,i+K,header=TRUE)
a<-table.element(a,x[i+K])
a<-table.element(a,fit$fitted[i,'xhat'])
a<-table.element(a,myresid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Extrapolation Forecasts of Exponential Smoothing',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Forecast',header=TRUE)
a<-table.element(a,'95% Lower Bound',header=TRUE)
a<-table.element(a,'95% Upper Bound',header=TRUE)
a<-table.row.end(a)
for (i in 1:np) {
a<-table.row.start(a)
a<-table.element(a,nx+i,header=TRUE)
a<-table.element(a,p[i,'fit'])
a<-table.element(a,p[i,'lwr'])
a<-table.element(a,p[i,'upr'])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')