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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 computationMon, 31 May 2010 19:35:07 +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/2010/May/31/t1275334555mhevcfxkku2oa9t.htm/, Retrieved Mon, 29 Apr 2024 12:42:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76786, Retrieved Mon, 29 Apr 2024 12:42:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W61
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Exponential Smoothing] [] [2010-01-16 14:49:37] [b9c4c4888c8ec1a729f0d8175961f076]
- R       [Exponential Smoothing] [] [2010-05-31 19:35:07] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
41086
39690
43129
37863
35953
29133
24693
22205
21725
27192
21790
13253
37702
30364
32609
30212
29965
28352
25814
22414
20506
28806
22228
13971
36845
35338
35022
34777
26887
23970
22780
17351
21382
24561
17409
11514
31514
27071
29462
26105
22397
23843
21705
18089
20764
25316
17704
15548
28029
29383
36438
32034
22679
24319
18004
17537
20366
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76786&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76786&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76786&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







Estimated Parameters of Exponential Smoothing
ParameterValue
alpha0.56278376127218
beta0
gammaFALSE

\begin{tabular}{lllllllll}
\hline
Estimated Parameters of Exponential Smoothing \tabularnewline
Parameter & Value \tabularnewline
alpha & 0.56278376127218 \tabularnewline
beta & 0 \tabularnewline
gamma & FALSE \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76786&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]0.56278376127218[/C][/ROW]
[ROW][C]beta[/C][C]0[/C][/ROW]
[ROW][C]gamma[/C][C]FALSE[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76786&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76786&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
alpha0.56278376127218
beta0
gammaFALSE







Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
343129396903439
43786341625.413355015-3762.41335501503
53595339507.988215619-3554.98821561899
62913337507.2985763547-8374.29857635465
72469332794.3793255375-8101.37932553751
82220528235.0545972188-6030.05459721883
92172524841.4377903194-3116.43779031941
102719223087.55720891274104.44279108731
112179025397.4709608073-3607.47096080729
121325323367.244884804-10114.244884804
133770217675.112106106120026.8878938939
143036428945.9194016081418.080598392
153260929743.99213455822865.00786544185
163021231356.3720371459-1144.37203714590
172996530712.3380377862-747.338037786223
182835230291.7483259391-1939.74832593912
192581429200.0894671457-3386.08946714569
202241427294.4533008213-4880.45330082133
212050624547.8134354719-4041.81343547187
222880622273.14646789666532.85353210342
232222825949.730350534-3721.73035053399
241397123855.2009454196-9884.20094541964
253684518292.533160186318552.4668398137
263533828733.56022917416604.43977082593
273502232450.43168449512571.56831550493
283477733897.6685734633879.3314265367
292688734392.5420210945-7505.54202109446
302397030168.5448520765-6198.54485207652
312278026680.1044658106-3900.10446581058
321735124485.1890051873-7134.18900518728
332138220470.1832832213911.816716778656
342456120983.33892468093577.66107531911
351740922996.7884812061-5587.78848120605
361151419852.0718625595-8338.07186255954
373151415159.540417990516354.4595820095
382707124363.56469512772707.43530487232
392946225887.26531940483574.73468059518
402610527899.0679485003-1794.06794850028
412239726889.3956404654-4492.39564046543
422384324361.1483248015-518.148324801547
432170524069.5428616729-2364.54286167285
441808922738.8165362913-4649.81653629132
452076420121.9752967717642.02470322829
462531620483.29637408424832.70362591582
471770423203.0634977908-5499.06349779079
481554820108.2798590295-4560.27985902954
492802917541.828407511110487.1715924889
502938323443.83828143885939.16171856122
513643826786.30205221449651.69794778559
523203432218.1209259322-184.120925932169
532267932114.5006587071-9435.50065870715
542431926804.3541085138-2485.3541085138
551800425405.6371752311-7401.63717523114
561753721240.1159661826-3703.11596618256
572036619156.06243430731209.93756569273
582278219836.99564843232945.00435156767
591916921494.3962743705-2325.39627437052
601380720185.7010126320-6378.70101263197
612974316595.871664712313147.1283352877
622559123994.86199917361596.13800082644
632909624893.14254678814202.85745321188
642648227258.4424723975-776.44247239752
652240526821.4732573702-4416.47325737017
662704424335.95382602942708.04617397061
671797025859.9982375153-7889.9982375153
681873021419.6353529756-2689.63535297557
691968419905.9522525774-221.95225257735
701978519781.04112904903.95887095096259
711847919783.2691173332-1304.26911733321
721069819049.2476377693-8351.24763776928

\begin{tabular}{lllllllll}
\hline
Interpolation Forecasts of Exponential Smoothing \tabularnewline
t & Observed & Fitted & Residuals \tabularnewline
3 & 43129 & 39690 & 3439 \tabularnewline
4 & 37863 & 41625.413355015 & -3762.41335501503 \tabularnewline
5 & 35953 & 39507.988215619 & -3554.98821561899 \tabularnewline
6 & 29133 & 37507.2985763547 & -8374.29857635465 \tabularnewline
7 & 24693 & 32794.3793255375 & -8101.37932553751 \tabularnewline
8 & 22205 & 28235.0545972188 & -6030.05459721883 \tabularnewline
9 & 21725 & 24841.4377903194 & -3116.43779031941 \tabularnewline
10 & 27192 & 23087.5572089127 & 4104.44279108731 \tabularnewline
11 & 21790 & 25397.4709608073 & -3607.47096080729 \tabularnewline
12 & 13253 & 23367.244884804 & -10114.244884804 \tabularnewline
13 & 37702 & 17675.1121061061 & 20026.8878938939 \tabularnewline
14 & 30364 & 28945.919401608 & 1418.080598392 \tabularnewline
15 & 32609 & 29743.9921345582 & 2865.00786544185 \tabularnewline
16 & 30212 & 31356.3720371459 & -1144.37203714590 \tabularnewline
17 & 29965 & 30712.3380377862 & -747.338037786223 \tabularnewline
18 & 28352 & 30291.7483259391 & -1939.74832593912 \tabularnewline
19 & 25814 & 29200.0894671457 & -3386.08946714569 \tabularnewline
20 & 22414 & 27294.4533008213 & -4880.45330082133 \tabularnewline
21 & 20506 & 24547.8134354719 & -4041.81343547187 \tabularnewline
22 & 28806 & 22273.1464678966 & 6532.85353210342 \tabularnewline
23 & 22228 & 25949.730350534 & -3721.73035053399 \tabularnewline
24 & 13971 & 23855.2009454196 & -9884.20094541964 \tabularnewline
25 & 36845 & 18292.5331601863 & 18552.4668398137 \tabularnewline
26 & 35338 & 28733.5602291741 & 6604.43977082593 \tabularnewline
27 & 35022 & 32450.4316844951 & 2571.56831550493 \tabularnewline
28 & 34777 & 33897.6685734633 & 879.3314265367 \tabularnewline
29 & 26887 & 34392.5420210945 & -7505.54202109446 \tabularnewline
30 & 23970 & 30168.5448520765 & -6198.54485207652 \tabularnewline
31 & 22780 & 26680.1044658106 & -3900.10446581058 \tabularnewline
32 & 17351 & 24485.1890051873 & -7134.18900518728 \tabularnewline
33 & 21382 & 20470.1832832213 & 911.816716778656 \tabularnewline
34 & 24561 & 20983.3389246809 & 3577.66107531911 \tabularnewline
35 & 17409 & 22996.7884812061 & -5587.78848120605 \tabularnewline
36 & 11514 & 19852.0718625595 & -8338.07186255954 \tabularnewline
37 & 31514 & 15159.5404179905 & 16354.4595820095 \tabularnewline
38 & 27071 & 24363.5646951277 & 2707.43530487232 \tabularnewline
39 & 29462 & 25887.2653194048 & 3574.73468059518 \tabularnewline
40 & 26105 & 27899.0679485003 & -1794.06794850028 \tabularnewline
41 & 22397 & 26889.3956404654 & -4492.39564046543 \tabularnewline
42 & 23843 & 24361.1483248015 & -518.148324801547 \tabularnewline
43 & 21705 & 24069.5428616729 & -2364.54286167285 \tabularnewline
44 & 18089 & 22738.8165362913 & -4649.81653629132 \tabularnewline
45 & 20764 & 20121.9752967717 & 642.02470322829 \tabularnewline
46 & 25316 & 20483.2963740842 & 4832.70362591582 \tabularnewline
47 & 17704 & 23203.0634977908 & -5499.06349779079 \tabularnewline
48 & 15548 & 20108.2798590295 & -4560.27985902954 \tabularnewline
49 & 28029 & 17541.8284075111 & 10487.1715924889 \tabularnewline
50 & 29383 & 23443.8382814388 & 5939.16171856122 \tabularnewline
51 & 36438 & 26786.3020522144 & 9651.69794778559 \tabularnewline
52 & 32034 & 32218.1209259322 & -184.120925932169 \tabularnewline
53 & 22679 & 32114.5006587071 & -9435.50065870715 \tabularnewline
54 & 24319 & 26804.3541085138 & -2485.3541085138 \tabularnewline
55 & 18004 & 25405.6371752311 & -7401.63717523114 \tabularnewline
56 & 17537 & 21240.1159661826 & -3703.11596618256 \tabularnewline
57 & 20366 & 19156.0624343073 & 1209.93756569273 \tabularnewline
58 & 22782 & 19836.9956484323 & 2945.00435156767 \tabularnewline
59 & 19169 & 21494.3962743705 & -2325.39627437052 \tabularnewline
60 & 13807 & 20185.7010126320 & -6378.70101263197 \tabularnewline
61 & 29743 & 16595.8716647123 & 13147.1283352877 \tabularnewline
62 & 25591 & 23994.8619991736 & 1596.13800082644 \tabularnewline
63 & 29096 & 24893.1425467881 & 4202.85745321188 \tabularnewline
64 & 26482 & 27258.4424723975 & -776.44247239752 \tabularnewline
65 & 22405 & 26821.4732573702 & -4416.47325737017 \tabularnewline
66 & 27044 & 24335.9538260294 & 2708.04617397061 \tabularnewline
67 & 17970 & 25859.9982375153 & -7889.9982375153 \tabularnewline
68 & 18730 & 21419.6353529756 & -2689.63535297557 \tabularnewline
69 & 19684 & 19905.9522525774 & -221.95225257735 \tabularnewline
70 & 19785 & 19781.0411290490 & 3.95887095096259 \tabularnewline
71 & 18479 & 19783.2691173332 & -1304.26911733321 \tabularnewline
72 & 10698 & 19049.2476377693 & -8351.24763776928 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76786&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]3[/C][C]43129[/C][C]39690[/C][C]3439[/C][/ROW]
[ROW][C]4[/C][C]37863[/C][C]41625.413355015[/C][C]-3762.41335501503[/C][/ROW]
[ROW][C]5[/C][C]35953[/C][C]39507.988215619[/C][C]-3554.98821561899[/C][/ROW]
[ROW][C]6[/C][C]29133[/C][C]37507.2985763547[/C][C]-8374.29857635465[/C][/ROW]
[ROW][C]7[/C][C]24693[/C][C]32794.3793255375[/C][C]-8101.37932553751[/C][/ROW]
[ROW][C]8[/C][C]22205[/C][C]28235.0545972188[/C][C]-6030.05459721883[/C][/ROW]
[ROW][C]9[/C][C]21725[/C][C]24841.4377903194[/C][C]-3116.43779031941[/C][/ROW]
[ROW][C]10[/C][C]27192[/C][C]23087.5572089127[/C][C]4104.44279108731[/C][/ROW]
[ROW][C]11[/C][C]21790[/C][C]25397.4709608073[/C][C]-3607.47096080729[/C][/ROW]
[ROW][C]12[/C][C]13253[/C][C]23367.244884804[/C][C]-10114.244884804[/C][/ROW]
[ROW][C]13[/C][C]37702[/C][C]17675.1121061061[/C][C]20026.8878938939[/C][/ROW]
[ROW][C]14[/C][C]30364[/C][C]28945.919401608[/C][C]1418.080598392[/C][/ROW]
[ROW][C]15[/C][C]32609[/C][C]29743.9921345582[/C][C]2865.00786544185[/C][/ROW]
[ROW][C]16[/C][C]30212[/C][C]31356.3720371459[/C][C]-1144.37203714590[/C][/ROW]
[ROW][C]17[/C][C]29965[/C][C]30712.3380377862[/C][C]-747.338037786223[/C][/ROW]
[ROW][C]18[/C][C]28352[/C][C]30291.7483259391[/C][C]-1939.74832593912[/C][/ROW]
[ROW][C]19[/C][C]25814[/C][C]29200.0894671457[/C][C]-3386.08946714569[/C][/ROW]
[ROW][C]20[/C][C]22414[/C][C]27294.4533008213[/C][C]-4880.45330082133[/C][/ROW]
[ROW][C]21[/C][C]20506[/C][C]24547.8134354719[/C][C]-4041.81343547187[/C][/ROW]
[ROW][C]22[/C][C]28806[/C][C]22273.1464678966[/C][C]6532.85353210342[/C][/ROW]
[ROW][C]23[/C][C]22228[/C][C]25949.730350534[/C][C]-3721.73035053399[/C][/ROW]
[ROW][C]24[/C][C]13971[/C][C]23855.2009454196[/C][C]-9884.20094541964[/C][/ROW]
[ROW][C]25[/C][C]36845[/C][C]18292.5331601863[/C][C]18552.4668398137[/C][/ROW]
[ROW][C]26[/C][C]35338[/C][C]28733.5602291741[/C][C]6604.43977082593[/C][/ROW]
[ROW][C]27[/C][C]35022[/C][C]32450.4316844951[/C][C]2571.56831550493[/C][/ROW]
[ROW][C]28[/C][C]34777[/C][C]33897.6685734633[/C][C]879.3314265367[/C][/ROW]
[ROW][C]29[/C][C]26887[/C][C]34392.5420210945[/C][C]-7505.54202109446[/C][/ROW]
[ROW][C]30[/C][C]23970[/C][C]30168.5448520765[/C][C]-6198.54485207652[/C][/ROW]
[ROW][C]31[/C][C]22780[/C][C]26680.1044658106[/C][C]-3900.10446581058[/C][/ROW]
[ROW][C]32[/C][C]17351[/C][C]24485.1890051873[/C][C]-7134.18900518728[/C][/ROW]
[ROW][C]33[/C][C]21382[/C][C]20470.1832832213[/C][C]911.816716778656[/C][/ROW]
[ROW][C]34[/C][C]24561[/C][C]20983.3389246809[/C][C]3577.66107531911[/C][/ROW]
[ROW][C]35[/C][C]17409[/C][C]22996.7884812061[/C][C]-5587.78848120605[/C][/ROW]
[ROW][C]36[/C][C]11514[/C][C]19852.0718625595[/C][C]-8338.07186255954[/C][/ROW]
[ROW][C]37[/C][C]31514[/C][C]15159.5404179905[/C][C]16354.4595820095[/C][/ROW]
[ROW][C]38[/C][C]27071[/C][C]24363.5646951277[/C][C]2707.43530487232[/C][/ROW]
[ROW][C]39[/C][C]29462[/C][C]25887.2653194048[/C][C]3574.73468059518[/C][/ROW]
[ROW][C]40[/C][C]26105[/C][C]27899.0679485003[/C][C]-1794.06794850028[/C][/ROW]
[ROW][C]41[/C][C]22397[/C][C]26889.3956404654[/C][C]-4492.39564046543[/C][/ROW]
[ROW][C]42[/C][C]23843[/C][C]24361.1483248015[/C][C]-518.148324801547[/C][/ROW]
[ROW][C]43[/C][C]21705[/C][C]24069.5428616729[/C][C]-2364.54286167285[/C][/ROW]
[ROW][C]44[/C][C]18089[/C][C]22738.8165362913[/C][C]-4649.81653629132[/C][/ROW]
[ROW][C]45[/C][C]20764[/C][C]20121.9752967717[/C][C]642.02470322829[/C][/ROW]
[ROW][C]46[/C][C]25316[/C][C]20483.2963740842[/C][C]4832.70362591582[/C][/ROW]
[ROW][C]47[/C][C]17704[/C][C]23203.0634977908[/C][C]-5499.06349779079[/C][/ROW]
[ROW][C]48[/C][C]15548[/C][C]20108.2798590295[/C][C]-4560.27985902954[/C][/ROW]
[ROW][C]49[/C][C]28029[/C][C]17541.8284075111[/C][C]10487.1715924889[/C][/ROW]
[ROW][C]50[/C][C]29383[/C][C]23443.8382814388[/C][C]5939.16171856122[/C][/ROW]
[ROW][C]51[/C][C]36438[/C][C]26786.3020522144[/C][C]9651.69794778559[/C][/ROW]
[ROW][C]52[/C][C]32034[/C][C]32218.1209259322[/C][C]-184.120925932169[/C][/ROW]
[ROW][C]53[/C][C]22679[/C][C]32114.5006587071[/C][C]-9435.50065870715[/C][/ROW]
[ROW][C]54[/C][C]24319[/C][C]26804.3541085138[/C][C]-2485.3541085138[/C][/ROW]
[ROW][C]55[/C][C]18004[/C][C]25405.6371752311[/C][C]-7401.63717523114[/C][/ROW]
[ROW][C]56[/C][C]17537[/C][C]21240.1159661826[/C][C]-3703.11596618256[/C][/ROW]
[ROW][C]57[/C][C]20366[/C][C]19156.0624343073[/C][C]1209.93756569273[/C][/ROW]
[ROW][C]58[/C][C]22782[/C][C]19836.9956484323[/C][C]2945.00435156767[/C][/ROW]
[ROW][C]59[/C][C]19169[/C][C]21494.3962743705[/C][C]-2325.39627437052[/C][/ROW]
[ROW][C]60[/C][C]13807[/C][C]20185.7010126320[/C][C]-6378.70101263197[/C][/ROW]
[ROW][C]61[/C][C]29743[/C][C]16595.8716647123[/C][C]13147.1283352877[/C][/ROW]
[ROW][C]62[/C][C]25591[/C][C]23994.8619991736[/C][C]1596.13800082644[/C][/ROW]
[ROW][C]63[/C][C]29096[/C][C]24893.1425467881[/C][C]4202.85745321188[/C][/ROW]
[ROW][C]64[/C][C]26482[/C][C]27258.4424723975[/C][C]-776.44247239752[/C][/ROW]
[ROW][C]65[/C][C]22405[/C][C]26821.4732573702[/C][C]-4416.47325737017[/C][/ROW]
[ROW][C]66[/C][C]27044[/C][C]24335.9538260294[/C][C]2708.04617397061[/C][/ROW]
[ROW][C]67[/C][C]17970[/C][C]25859.9982375153[/C][C]-7889.9982375153[/C][/ROW]
[ROW][C]68[/C][C]18730[/C][C]21419.6353529756[/C][C]-2689.63535297557[/C][/ROW]
[ROW][C]69[/C][C]19684[/C][C]19905.9522525774[/C][C]-221.95225257735[/C][/ROW]
[ROW][C]70[/C][C]19785[/C][C]19781.0411290490[/C][C]3.95887095096259[/C][/ROW]
[ROW][C]71[/C][C]18479[/C][C]19783.2691173332[/C][C]-1304.26911733321[/C][/ROW]
[ROW][C]72[/C][C]10698[/C][C]19049.2476377693[/C][C]-8351.24763776928[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76786&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76786&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
343129396903439
43786341625.413355015-3762.41335501503
53595339507.988215619-3554.98821561899
62913337507.2985763547-8374.29857635465
72469332794.3793255375-8101.37932553751
82220528235.0545972188-6030.05459721883
92172524841.4377903194-3116.43779031941
102719223087.55720891274104.44279108731
112179025397.4709608073-3607.47096080729
121325323367.244884804-10114.244884804
133770217675.112106106120026.8878938939
143036428945.9194016081418.080598392
153260929743.99213455822865.00786544185
163021231356.3720371459-1144.37203714590
172996530712.3380377862-747.338037786223
182835230291.7483259391-1939.74832593912
192581429200.0894671457-3386.08946714569
202241427294.4533008213-4880.45330082133
212050624547.8134354719-4041.81343547187
222880622273.14646789666532.85353210342
232222825949.730350534-3721.73035053399
241397123855.2009454196-9884.20094541964
253684518292.533160186318552.4668398137
263533828733.56022917416604.43977082593
273502232450.43168449512571.56831550493
283477733897.6685734633879.3314265367
292688734392.5420210945-7505.54202109446
302397030168.5448520765-6198.54485207652
312278026680.1044658106-3900.10446581058
321735124485.1890051873-7134.18900518728
332138220470.1832832213911.816716778656
342456120983.33892468093577.66107531911
351740922996.7884812061-5587.78848120605
361151419852.0718625595-8338.07186255954
373151415159.540417990516354.4595820095
382707124363.56469512772707.43530487232
392946225887.26531940483574.73468059518
402610527899.0679485003-1794.06794850028
412239726889.3956404654-4492.39564046543
422384324361.1483248015-518.148324801547
432170524069.5428616729-2364.54286167285
441808922738.8165362913-4649.81653629132
452076420121.9752967717642.02470322829
462531620483.29637408424832.70362591582
471770423203.0634977908-5499.06349779079
481554820108.2798590295-4560.27985902954
492802917541.828407511110487.1715924889
502938323443.83828143885939.16171856122
513643826786.30205221449651.69794778559
523203432218.1209259322-184.120925932169
532267932114.5006587071-9435.50065870715
542431926804.3541085138-2485.3541085138
551800425405.6371752311-7401.63717523114
561753721240.1159661826-3703.11596618256
572036619156.06243430731209.93756569273
582278219836.99564843232945.00435156767
591916921494.3962743705-2325.39627437052
601380720185.7010126320-6378.70101263197
612974316595.871664712313147.1283352877
622559123994.86199917361596.13800082644
632909624893.14254678814202.85745321188
642648227258.4424723975-776.44247239752
652240526821.4732573702-4416.47325737017
662704424335.95382602942708.04617397061
671797025859.9982375153-7889.9982375153
681873021419.6353529756-2689.63535297557
691968419905.9522525774-221.95225257735
701978519781.04112904903.95887095096259
711847919783.2691173332-1304.26911733321
721069819049.2476377693-8351.24763776928







Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
7314349.30108087011752.9524469086626945.6497148315
7414349.3010808701-104.84054104158928803.4427027817
7514349.3010808701-1749.6560637482330448.2582254884
7614349.3010808701-3241.3393924678531939.941554208
7714349.3010808701-4616.0579555471433314.6601172873
7814349.3010808701-5897.6506526178434596.252814358
7914349.3010808701-7102.8145634240135801.4167251642
8014349.3010808701-8243.7836295926536942.3857913328
8114349.3010808701-9329.8392720253938028.4414337655
8214349.3010808701-10368.221023299339066.8231850394
8314349.3010808701-11364.705026465240063.3071882054
8414349.3010808701-12323.987452905741022.5896146459

\begin{tabular}{lllllllll}
\hline
Extrapolation Forecasts of Exponential Smoothing \tabularnewline
t & Forecast & 95% Lower Bound & 95% Upper Bound \tabularnewline
73 & 14349.3010808701 & 1752.95244690866 & 26945.6497148315 \tabularnewline
74 & 14349.3010808701 & -104.840541041589 & 28803.4427027817 \tabularnewline
75 & 14349.3010808701 & -1749.65606374823 & 30448.2582254884 \tabularnewline
76 & 14349.3010808701 & -3241.33939246785 & 31939.941554208 \tabularnewline
77 & 14349.3010808701 & -4616.05795554714 & 33314.6601172873 \tabularnewline
78 & 14349.3010808701 & -5897.65065261784 & 34596.252814358 \tabularnewline
79 & 14349.3010808701 & -7102.81456342401 & 35801.4167251642 \tabularnewline
80 & 14349.3010808701 & -8243.78362959265 & 36942.3857913328 \tabularnewline
81 & 14349.3010808701 & -9329.83927202539 & 38028.4414337655 \tabularnewline
82 & 14349.3010808701 & -10368.2210232993 & 39066.8231850394 \tabularnewline
83 & 14349.3010808701 & -11364.7050264652 & 40063.3071882054 \tabularnewline
84 & 14349.3010808701 & -12323.9874529057 & 41022.5896146459 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76786&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]73[/C][C]14349.3010808701[/C][C]1752.95244690866[/C][C]26945.6497148315[/C][/ROW]
[ROW][C]74[/C][C]14349.3010808701[/C][C]-104.840541041589[/C][C]28803.4427027817[/C][/ROW]
[ROW][C]75[/C][C]14349.3010808701[/C][C]-1749.65606374823[/C][C]30448.2582254884[/C][/ROW]
[ROW][C]76[/C][C]14349.3010808701[/C][C]-3241.33939246785[/C][C]31939.941554208[/C][/ROW]
[ROW][C]77[/C][C]14349.3010808701[/C][C]-4616.05795554714[/C][C]33314.6601172873[/C][/ROW]
[ROW][C]78[/C][C]14349.3010808701[/C][C]-5897.65065261784[/C][C]34596.252814358[/C][/ROW]
[ROW][C]79[/C][C]14349.3010808701[/C][C]-7102.81456342401[/C][C]35801.4167251642[/C][/ROW]
[ROW][C]80[/C][C]14349.3010808701[/C][C]-8243.78362959265[/C][C]36942.3857913328[/C][/ROW]
[ROW][C]81[/C][C]14349.3010808701[/C][C]-9329.83927202539[/C][C]38028.4414337655[/C][/ROW]
[ROW][C]82[/C][C]14349.3010808701[/C][C]-10368.2210232993[/C][C]39066.8231850394[/C][/ROW]
[ROW][C]83[/C][C]14349.3010808701[/C][C]-11364.7050264652[/C][C]40063.3071882054[/C][/ROW]
[ROW][C]84[/C][C]14349.3010808701[/C][C]-12323.9874529057[/C][C]41022.5896146459[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76786&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76786&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
7314349.30108087011752.9524469086626945.6497148315
7414349.3010808701-104.84054104158928803.4427027817
7514349.3010808701-1749.6560637482330448.2582254884
7614349.3010808701-3241.3393924678531939.941554208
7714349.3010808701-4616.0579555471433314.6601172873
7814349.3010808701-5897.6506526178434596.252814358
7914349.3010808701-7102.8145634240135801.4167251642
8014349.3010808701-8243.7836295926536942.3857913328
8114349.3010808701-9329.8392720253938028.4414337655
8214349.3010808701-10368.221023299339066.8231850394
8314349.3010808701-11364.705026465240063.3071882054
8414349.3010808701-12323.987452905741022.5896146459



Parameters (Session):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
Parameters (R input):
par1 = 12 ; par2 = Double ; par3 = multiplicative ;
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')