Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_arimabackwardselection.wasp

Title produced by software

ARIMA Backward Selection

Date of computation

Sun, 07 Dec 2008 16:17:15 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/08/t1228691881rhygf5plcj9088d.htm/, Retrieved Thu, 16 May 2024 11:43:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30341, Retrieved Thu, 16 May 2024 11:43:15 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

209

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMP   [Spectral Analysis] [ARMA - spectral a...] [2008-12-05 16:40:04] [5393e1e70f7d2761ff95f84c9c07decf]
F   P     [Spectral Analysis] [ARMA - spectral a...] [2008-12-05 16:46:36] [5393e1e70f7d2761ff95f84c9c07decf]
F RMP       [Standard Deviation-Mean Plot] [ARMA - standard d...] [2008-12-05 16:57:59] [5393e1e70f7d2761ff95f84c9c07decf]
F RM          [(Partial) Autocorrelation Function] [ARMA - (P)ACF] [2008-12-05 18:14:04] [5393e1e70f7d2761ff95f84c9c07decf]
- RMP           [ARIMA Backward Selection] [ARMA- backward se...] [2008-12-06 16:03:03] [5393e1e70f7d2761ff95f84c9c07decf]
-   P               [ARIMA Backward Selection] [ARMA Backward Sel...] [2008-12-07 23:17:15] [382e90e66f02be5ed86892bdc1574692] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30341&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30341&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30341&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

ARIMA Parameter Estimation and Backward Selection
Iteration	ar1	ar2	sma1
Estimates ( 1 )	0.1094	0.2417	-0.724
(p-val)	(0.0348 )	(0 )	(0 )
Estimates ( 2 )	0	0.256	-0.7335
(p-val)	(NA )	(0 )	(0 )
Estimates ( 3 )	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )
Estimates ( 4 )	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )
Estimates ( 5 )	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )

\begin{tabular}{lllllllll}
\hline
ARIMA Parameter Estimation and Backward Selection \tabularnewline
Iteration & ar1 & ar2 & sma1 \tabularnewline
Estimates ( 1 ) & 0.1094 & 0.2417 & -0.724 \tabularnewline
(p-val) & (0.0348 ) & (0 ) & (0 ) \tabularnewline
Estimates ( 2 ) & 0 & 0.256 & -0.7335 \tabularnewline
(p-val) & (NA ) & (0 ) & (0 ) \tabularnewline
Estimates ( 3 ) & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 4 ) & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 5 ) & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30341&T=1

[TABLE]
[ROW][C]ARIMA Parameter Estimation and Backward Selection[/C][/ROW]
[ROW][C]Iteration[/C][C]ar1[/C][C]ar2[/C][C]sma1[/C][/ROW]
[ROW][C]Estimates ( 1 )[/C][C]0.1094[/C][C]0.2417[/C][C]-0.724[/C][/ROW]
[ROW][C](p-val)[/C][C](0.0348 )[/C][C](0 )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 2 )[/C][C]0[/C][C]0.256[/C][C]-0.7335[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](0 )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 3 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 4 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 5 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30341&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30341&T=1

As an alternative you can also use a QR Code:

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

ARIMA Parameter Estimation and Backward Selection
Iteration	ar1	ar2	sma1
Estimates ( 1 )	0.1094	0.2417	-0.724
(p-val)	(0.0348 )	(0 )	(0 )
Estimates ( 2 )	0	0.256	-0.7335
(p-val)	(NA )	(0 )	(0 )
Estimates ( 3 )	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )
Estimates ( 4 )	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )
Estimates ( 5 )	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )

Estimated ARIMA Residuals
Value
-0.0447140207574356
-0.0687939177362655
0.200155724793765
0.369718255141935
1.50862674904585
-0.396731766178692
0.457173236285062
-0.456397895754196
-0.334604281408787
1.35890357861291
-1.39274870780791
-0.390681638310261
0.267121167873759
-0.898003612386934
-0.568715152807615
-0.716379716406903
-0.44854510911269
-0.0971453439206475
-0.865479766274416
-0.904500207650295
0.690120598523412
-0.795703312192831
0.781365242220058
-0.124128003074553
-1.69466061332492
-1.03055029619273
0.465302669578839
-0.0561806327383645
0.0259168511196107
0.315409469343088
-0.306448034967587
0.301887353927263
0.881035341392575
0.0797409227067284
0.0940408443053726
-1.14690242394420
-0.125397433653706
0.0053321535255946
-0.405350516297234
0.572186709757744
0.457409913281583
-0.384316811875781
0.118005032877932
0.615443790657473
-0.509675966721202
-0.406835488887793
-0.04282914330798
-0.125554865548761
0.488873106460184
-1.02579831806932
0.327160724901883
0.893921478246055
-0.5545044943656
-0.41955088619219
-0.00346494586041232
0.306837377979886
0.846760972193268
0.422036671869679
0.805422769129887
0.94423039574766
1.21898244609563
0.464576819004203
0.361306035638239
-0.074405470786997
-0.119719675546748
-0.988271319001858
0.0559508594556734
0.606928024369986
0.0359676052206269
-0.9176888166839
-0.287878257322881
-0.375759823161625
-0.375896271358500
-0.473383300834853
-0.0536142110380478
0.471940146500986
-0.781161000200814
-0.091598214305195
-0.489868866047729
0.540634579715539
-0.359355740203521
0.593041757743052
0.0631675497874839
-0.0943582908512195
-0.816983188416501
-0.0805053422502148
0.768480713378102
-0.57605325119867
0.986609632980512
0.427256955706978
-0.667532462409096
-0.91910690677593
-0.159683197476388
0.273272118012582
0.940586142238968
-0.0696985283723879
-0.579137992853016
-0.492928060153981
-0.224403738254874
0.308106016256194
0.597399339185421
0.567074244375072
-0.74083306063443
-0.121836398880596
0.443471168812324
0.486815588226986
0.8122472535585
0.176694367883861
0.73966462830351
1.24224740387558
0.179637770138367
0.0764771692804016
-0.362284295792665
-0.213927888646896
0.218843730897923
-0.153602604750406
-1.04455520036795
-0.134743704238792
-0.931319828953823
0.63793565450413
-0.437848055838722
-0.425045099608669
-0.399196035756154
-1.15036497622932
0.0680203906693219
0.589321642700049
-0.0335588623734940
0.251521486563177
0.140538516804797
0.581752689001434
0.0155041555124467
-0.878847130605813
-0.376316541609917
-0.697891683941713
1.39856304192844
-0.404539966174718
-0.380770905936541
1.15328872998613
-0.381923217575274
0.256147381412914
-0.498558740780052
0.930016787275352
0.127544202029175
0.770213550815017
-0.0195424808925343
0.341686524390029
-0.412070725914624
-0.235566493746768
0.0982649381804313
0.162878640302917
-0.296856749011764
-0.420360628648726
-0.193338922231712
-0.181286160696818
-0.724896213219851
-0.0683055554493695
-0.247759929474383
-0.464291713500061
0.0619176688997704
0.104244535331533
0.757925348669747
-0.748154011383248
-0.49945065996013
1.14005127128157
-0.254706359325444
-0.600850232393074
0.622843408196651
-0.292585847313897
0.292640595295300
0.509499147866279
-0.842922911558323
-0.0275414526702224
0.357152429210257
0.291961070529115
-0.389558121992546
-0.369929573312349
0.193804649134459
0.177656345079176
0.242979360161232
-0.564170844634097
-0.0615810549043483
-0.222983335420796
-0.0297208113148836
0.212469569269945
-0.536138571801298
1.10986886426036
-1.14961246331019
0.272140946711227
0.263654278737041
0.00389506581263986
-0.705580580801604
0.109141032683140
-0.281343834752921
0.487600262838102
-0.627670998204404
0.487189060656794
-0.253719740937769
0.589951294610087
-0.520815878239056
-0.212207038657821
0.0113128584673827
-0.105087586832824
-0.247912469874973
-0.434616539421559
-0.267710644256125
-0.459382097668424
0.519792926945443
0.266651253030138
0.583604897832476
0.403120044142958
-0.473124336585004
-0.116096971640842
-0.0738803891450805
0.193048285048089
-0.37576483653049
0.199648530562112
-0.0778288532380645
-0.0343375707541298
-0.0212573037394225
0.0225493688011695
-0.323902128777146
1.53535943796530
0.201362715830402
-0.612251804481435
0.693628036989325
0.384751263909798
-1.00802717589196
-0.681279561627163
-0.254530442234408
0.74300930986396
-0.333560121031541
-0.53775279579409
-0.0568901949701647
1.68474470700757
0.0304585180416455
-0.96357773351454
0.195151982851169
-0.0513061069573991
-0.239852922972064
-0.372177200935214
0.0915875852558678
0.0305511167225314
0.213153001165288
0.368026908567864
-0.411006019949606
0.481257533668623
0.63180231377811
-0.220950414309914
0.737857329877878
-0.257884884405927
-0.949991082196831
0.0523195255472962
1.02516428459687
0.752476765958241
0.219910699189225
0.169475537099975
-0.0761904023119937
0.240909469535640
0.584807031847266
0.0290415699198926
0.379719050528907
0.0400904143395234
0.519980678144645
0.161755889685972
-0.0978265334320276
-0.439817743832924
-0.0342452728156185
-0.207145775510177
-0.139150135408349
-0.39412882051681
0.592946420416842
0.301731084358361
-0.414211431595129
-0.465314957460324
0.337033465743959
-0.0657714559835786
-0.0360072910342937
-0.363592049308459
0.158036901720176
-0.214759658276242
-0.255197642758187
-0.269319073235149
0.256165871195612
0.129635401959728
-0.197074672754405
-0.130962841322422
-0.839369696369322
-0.0676270422637601
-0.098441183229917
0.260417072794867
-0.197529630986854
0.122386645061053
-0.249591717307831
-0.194934029598613
0.0681567650980711
-0.0207337999364798
0.253455369382004
-0.676087936739079
0.598947140850026
0.325622827216189
0.491251080423761
-0.0963447617477654
-0.445760197758316
-0.133582266721857
0.427765917564721
0.172905129143995
0.305401267338732
-0.152545886367354
0.893364867224313
0.0863441300685131
0.80860821458795
0.867722330426451
1.76209741628754
-0.52775396135103
0.236609240816034
-0.064939350399948
0.0940007474876842
-1.08164562198798
-0.0183584304884344
0.136080265746180
-0.278716504685671
0.0303392270928290
-0.558499297590592
-0.112486610434513
-0.40528301546346
-0.396194178607099
-0.261098013511907
-0.0589581738075484
-0.451667138580615
0.256694446889944
0.5588847707046
0.271719479925607
-0.603465697302591
0.0859390159438693
0.157731466484456
-0.243812420891653
-0.663034860169572
0.467382175885279
-0.283205262455952
-0.882915957726698
0.0799371046536504
0.254213841652969
-0.47774254554963
0.416023748757773
-0.323390693159887
-0.0207414540960354
-0.109027462868552
-0.939484763091932
0.166026591272360
-0.286100834688621
0.240630156941920
-0.251452322084936
0.250871251369388
-0.62236842326008
0.826042886928286
-0.324473388182784
-0.0990067500977558
-0.172440261155664
-0.0223565146862487
0.519804051658072

\begin{tabular}{lllllllll}
\hline
Estimated ARIMA Residuals \tabularnewline
Value \tabularnewline
-0.0447140207574356 \tabularnewline
-0.0687939177362655 \tabularnewline
0.200155724793765 \tabularnewline
0.369718255141935 \tabularnewline
1.50862674904585 \tabularnewline
-0.396731766178692 \tabularnewline
0.457173236285062 \tabularnewline
-0.456397895754196 \tabularnewline
-0.334604281408787 \tabularnewline
1.35890357861291 \tabularnewline
-1.39274870780791 \tabularnewline
-0.390681638310261 \tabularnewline
0.267121167873759 \tabularnewline
-0.898003612386934 \tabularnewline
-0.568715152807615 \tabularnewline
-0.716379716406903 \tabularnewline
-0.44854510911269 \tabularnewline
-0.0971453439206475 \tabularnewline
-0.865479766274416 \tabularnewline
-0.904500207650295 \tabularnewline
0.690120598523412 \tabularnewline
-0.795703312192831 \tabularnewline
0.781365242220058 \tabularnewline
-0.124128003074553 \tabularnewline
-1.69466061332492 \tabularnewline
-1.03055029619273 \tabularnewline
0.465302669578839 \tabularnewline
-0.0561806327383645 \tabularnewline
0.0259168511196107 \tabularnewline
0.315409469343088 \tabularnewline
-0.306448034967587 \tabularnewline
0.301887353927263 \tabularnewline
0.881035341392575 \tabularnewline
0.0797409227067284 \tabularnewline
0.0940408443053726 \tabularnewline
-1.14690242394420 \tabularnewline
-0.125397433653706 \tabularnewline
0.0053321535255946 \tabularnewline
-0.405350516297234 \tabularnewline
0.572186709757744 \tabularnewline
0.457409913281583 \tabularnewline
-0.384316811875781 \tabularnewline
0.118005032877932 \tabularnewline
0.615443790657473 \tabularnewline
-0.509675966721202 \tabularnewline
-0.406835488887793 \tabularnewline
-0.04282914330798 \tabularnewline
-0.125554865548761 \tabularnewline
0.488873106460184 \tabularnewline
-1.02579831806932 \tabularnewline
0.327160724901883 \tabularnewline
0.893921478246055 \tabularnewline
-0.5545044943656 \tabularnewline
-0.41955088619219 \tabularnewline
-0.00346494586041232 \tabularnewline
0.306837377979886 \tabularnewline
0.846760972193268 \tabularnewline
0.422036671869679 \tabularnewline
0.805422769129887 \tabularnewline
0.94423039574766 \tabularnewline
1.21898244609563 \tabularnewline
0.464576819004203 \tabularnewline
0.361306035638239 \tabularnewline
-0.074405470786997 \tabularnewline
-0.119719675546748 \tabularnewline
-0.988271319001858 \tabularnewline
0.0559508594556734 \tabularnewline
0.606928024369986 \tabularnewline
0.0359676052206269 \tabularnewline
-0.9176888166839 \tabularnewline
-0.287878257322881 \tabularnewline
-0.375759823161625 \tabularnewline
-0.375896271358500 \tabularnewline
-0.473383300834853 \tabularnewline
-0.0536142110380478 \tabularnewline
0.471940146500986 \tabularnewline
-0.781161000200814 \tabularnewline
-0.091598214305195 \tabularnewline
-0.489868866047729 \tabularnewline
0.540634579715539 \tabularnewline
-0.359355740203521 \tabularnewline
0.593041757743052 \tabularnewline
0.0631675497874839 \tabularnewline
-0.0943582908512195 \tabularnewline
-0.816983188416501 \tabularnewline
-0.0805053422502148 \tabularnewline
0.768480713378102 \tabularnewline
-0.57605325119867 \tabularnewline
0.986609632980512 \tabularnewline
0.427256955706978 \tabularnewline
-0.667532462409096 \tabularnewline
-0.91910690677593 \tabularnewline
-0.159683197476388 \tabularnewline
0.273272118012582 \tabularnewline
0.940586142238968 \tabularnewline
-0.0696985283723879 \tabularnewline
-0.579137992853016 \tabularnewline
-0.492928060153981 \tabularnewline
-0.224403738254874 \tabularnewline
0.308106016256194 \tabularnewline
0.597399339185421 \tabularnewline
0.567074244375072 \tabularnewline
-0.74083306063443 \tabularnewline
-0.121836398880596 \tabularnewline
0.443471168812324 \tabularnewline
0.486815588226986 \tabularnewline
0.8122472535585 \tabularnewline
0.176694367883861 \tabularnewline
0.73966462830351 \tabularnewline
1.24224740387558 \tabularnewline
0.179637770138367 \tabularnewline
0.0764771692804016 \tabularnewline
-0.362284295792665 \tabularnewline
-0.213927888646896 \tabularnewline
0.218843730897923 \tabularnewline
-0.153602604750406 \tabularnewline
-1.04455520036795 \tabularnewline
-0.134743704238792 \tabularnewline
-0.931319828953823 \tabularnewline
0.63793565450413 \tabularnewline
-0.437848055838722 \tabularnewline
-0.425045099608669 \tabularnewline
-0.399196035756154 \tabularnewline
-1.15036497622932 \tabularnewline
0.0680203906693219 \tabularnewline
0.589321642700049 \tabularnewline
-0.0335588623734940 \tabularnewline
0.251521486563177 \tabularnewline
0.140538516804797 \tabularnewline
0.581752689001434 \tabularnewline
0.0155041555124467 \tabularnewline
-0.878847130605813 \tabularnewline
-0.376316541609917 \tabularnewline
-0.697891683941713 \tabularnewline
1.39856304192844 \tabularnewline
-0.404539966174718 \tabularnewline
-0.380770905936541 \tabularnewline
1.15328872998613 \tabularnewline
-0.381923217575274 \tabularnewline
0.256147381412914 \tabularnewline
-0.498558740780052 \tabularnewline
0.930016787275352 \tabularnewline
0.127544202029175 \tabularnewline
0.770213550815017 \tabularnewline
-0.0195424808925343 \tabularnewline
0.341686524390029 \tabularnewline
-0.412070725914624 \tabularnewline
-0.235566493746768 \tabularnewline
0.0982649381804313 \tabularnewline
0.162878640302917 \tabularnewline
-0.296856749011764 \tabularnewline
-0.420360628648726 \tabularnewline
-0.193338922231712 \tabularnewline
-0.181286160696818 \tabularnewline
-0.724896213219851 \tabularnewline
-0.0683055554493695 \tabularnewline
-0.247759929474383 \tabularnewline
-0.464291713500061 \tabularnewline
0.0619176688997704 \tabularnewline
0.104244535331533 \tabularnewline
0.757925348669747 \tabularnewline
-0.748154011383248 \tabularnewline
-0.49945065996013 \tabularnewline
1.14005127128157 \tabularnewline
-0.254706359325444 \tabularnewline
-0.600850232393074 \tabularnewline
0.622843408196651 \tabularnewline
-0.292585847313897 \tabularnewline
0.292640595295300 \tabularnewline
0.509499147866279 \tabularnewline
-0.842922911558323 \tabularnewline
-0.0275414526702224 \tabularnewline
0.357152429210257 \tabularnewline
0.291961070529115 \tabularnewline
-0.389558121992546 \tabularnewline
-0.369929573312349 \tabularnewline
0.193804649134459 \tabularnewline
0.177656345079176 \tabularnewline
0.242979360161232 \tabularnewline
-0.564170844634097 \tabularnewline
-0.0615810549043483 \tabularnewline
-0.222983335420796 \tabularnewline
-0.0297208113148836 \tabularnewline
0.212469569269945 \tabularnewline
-0.536138571801298 \tabularnewline
1.10986886426036 \tabularnewline
-1.14961246331019 \tabularnewline
0.272140946711227 \tabularnewline
0.263654278737041 \tabularnewline
0.00389506581263986 \tabularnewline
-0.705580580801604 \tabularnewline
0.109141032683140 \tabularnewline
-0.281343834752921 \tabularnewline
0.487600262838102 \tabularnewline
-0.627670998204404 \tabularnewline
0.487189060656794 \tabularnewline
-0.253719740937769 \tabularnewline
0.589951294610087 \tabularnewline
-0.520815878239056 \tabularnewline
-0.212207038657821 \tabularnewline
0.0113128584673827 \tabularnewline
-0.105087586832824 \tabularnewline
-0.247912469874973 \tabularnewline
-0.434616539421559 \tabularnewline
-0.267710644256125 \tabularnewline
-0.459382097668424 \tabularnewline
0.519792926945443 \tabularnewline
0.266651253030138 \tabularnewline
0.583604897832476 \tabularnewline
0.403120044142958 \tabularnewline
-0.473124336585004 \tabularnewline
-0.116096971640842 \tabularnewline
-0.0738803891450805 \tabularnewline
0.193048285048089 \tabularnewline
-0.37576483653049 \tabularnewline
0.199648530562112 \tabularnewline
-0.0778288532380645 \tabularnewline
-0.0343375707541298 \tabularnewline
-0.0212573037394225 \tabularnewline
0.0225493688011695 \tabularnewline
-0.323902128777146 \tabularnewline
1.53535943796530 \tabularnewline
0.201362715830402 \tabularnewline
-0.612251804481435 \tabularnewline
0.693628036989325 \tabularnewline
0.384751263909798 \tabularnewline
-1.00802717589196 \tabularnewline
-0.681279561627163 \tabularnewline
-0.254530442234408 \tabularnewline
0.74300930986396 \tabularnewline
-0.333560121031541 \tabularnewline
-0.53775279579409 \tabularnewline
-0.0568901949701647 \tabularnewline
1.68474470700757 \tabularnewline
0.0304585180416455 \tabularnewline
-0.96357773351454 \tabularnewline
0.195151982851169 \tabularnewline
-0.0513061069573991 \tabularnewline
-0.239852922972064 \tabularnewline
-0.372177200935214 \tabularnewline
0.0915875852558678 \tabularnewline
0.0305511167225314 \tabularnewline
0.213153001165288 \tabularnewline
0.368026908567864 \tabularnewline
-0.411006019949606 \tabularnewline
0.481257533668623 \tabularnewline
0.63180231377811 \tabularnewline
-0.220950414309914 \tabularnewline
0.737857329877878 \tabularnewline
-0.257884884405927 \tabularnewline
-0.949991082196831 \tabularnewline
0.0523195255472962 \tabularnewline
1.02516428459687 \tabularnewline
0.752476765958241 \tabularnewline
0.219910699189225 \tabularnewline
0.169475537099975 \tabularnewline
-0.0761904023119937 \tabularnewline
0.240909469535640 \tabularnewline
0.584807031847266 \tabularnewline
0.0290415699198926 \tabularnewline
0.379719050528907 \tabularnewline
0.0400904143395234 \tabularnewline
0.519980678144645 \tabularnewline
0.161755889685972 \tabularnewline
-0.0978265334320276 \tabularnewline
-0.439817743832924 \tabularnewline
-0.0342452728156185 \tabularnewline
-0.207145775510177 \tabularnewline
-0.139150135408349 \tabularnewline
-0.39412882051681 \tabularnewline
0.592946420416842 \tabularnewline
0.301731084358361 \tabularnewline
-0.414211431595129 \tabularnewline
-0.465314957460324 \tabularnewline
0.337033465743959 \tabularnewline
-0.0657714559835786 \tabularnewline
-0.0360072910342937 \tabularnewline
-0.363592049308459 \tabularnewline
0.158036901720176 \tabularnewline
-0.214759658276242 \tabularnewline
-0.255197642758187 \tabularnewline
-0.269319073235149 \tabularnewline
0.256165871195612 \tabularnewline
0.129635401959728 \tabularnewline
-0.197074672754405 \tabularnewline
-0.130962841322422 \tabularnewline
-0.839369696369322 \tabularnewline
-0.0676270422637601 \tabularnewline
-0.098441183229917 \tabularnewline
0.260417072794867 \tabularnewline
-0.197529630986854 \tabularnewline
0.122386645061053 \tabularnewline
-0.249591717307831 \tabularnewline
-0.194934029598613 \tabularnewline
0.0681567650980711 \tabularnewline
-0.0207337999364798 \tabularnewline
0.253455369382004 \tabularnewline
-0.676087936739079 \tabularnewline
0.598947140850026 \tabularnewline
0.325622827216189 \tabularnewline
0.491251080423761 \tabularnewline
-0.0963447617477654 \tabularnewline
-0.445760197758316 \tabularnewline
-0.133582266721857 \tabularnewline
0.427765917564721 \tabularnewline
0.172905129143995 \tabularnewline
0.305401267338732 \tabularnewline
-0.152545886367354 \tabularnewline
0.893364867224313 \tabularnewline
0.0863441300685131 \tabularnewline
0.80860821458795 \tabularnewline
0.867722330426451 \tabularnewline
1.76209741628754 \tabularnewline
-0.52775396135103 \tabularnewline
0.236609240816034 \tabularnewline
-0.064939350399948 \tabularnewline
0.0940007474876842 \tabularnewline
-1.08164562198798 \tabularnewline
-0.0183584304884344 \tabularnewline
0.136080265746180 \tabularnewline
-0.278716504685671 \tabularnewline
0.0303392270928290 \tabularnewline
-0.558499297590592 \tabularnewline
-0.112486610434513 \tabularnewline
-0.40528301546346 \tabularnewline
-0.396194178607099 \tabularnewline
-0.261098013511907 \tabularnewline
-0.0589581738075484 \tabularnewline
-0.451667138580615 \tabularnewline
0.256694446889944 \tabularnewline
0.5588847707046 \tabularnewline
0.271719479925607 \tabularnewline
-0.603465697302591 \tabularnewline
0.0859390159438693 \tabularnewline
0.157731466484456 \tabularnewline
-0.243812420891653 \tabularnewline
-0.663034860169572 \tabularnewline
0.467382175885279 \tabularnewline
-0.283205262455952 \tabularnewline
-0.882915957726698 \tabularnewline
0.0799371046536504 \tabularnewline
0.254213841652969 \tabularnewline
-0.47774254554963 \tabularnewline
0.416023748757773 \tabularnewline
-0.323390693159887 \tabularnewline
-0.0207414540960354 \tabularnewline
-0.109027462868552 \tabularnewline
-0.939484763091932 \tabularnewline
0.166026591272360 \tabularnewline
-0.286100834688621 \tabularnewline
0.240630156941920 \tabularnewline
-0.251452322084936 \tabularnewline
0.250871251369388 \tabularnewline
-0.62236842326008 \tabularnewline
0.826042886928286 \tabularnewline
-0.324473388182784 \tabularnewline
-0.0990067500977558 \tabularnewline
-0.172440261155664 \tabularnewline
-0.0223565146862487 \tabularnewline
0.519804051658072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30341&T=2

[TABLE]
[ROW][C]Estimated ARIMA Residuals[/C][/ROW]
[ROW][C]Value[/C][/ROW]
[ROW][C]-0.0447140207574356[/C][/ROW]
[ROW][C]-0.0687939177362655[/C][/ROW]
[ROW][C]0.200155724793765[/C][/ROW]
[ROW][C]0.369718255141935[/C][/ROW]
[ROW][C]1.50862674904585[/C][/ROW]
[ROW][C]-0.396731766178692[/C][/ROW]
[ROW][C]0.457173236285062[/C][/ROW]
[ROW][C]-0.456397895754196[/C][/ROW]
[ROW][C]-0.334604281408787[/C][/ROW]
[ROW][C]1.35890357861291[/C][/ROW]
[ROW][C]-1.39274870780791[/C][/ROW]
[ROW][C]-0.390681638310261[/C][/ROW]
[ROW][C]0.267121167873759[/C][/ROW]
[ROW][C]-0.898003612386934[/C][/ROW]
[ROW][C]-0.568715152807615[/C][/ROW]
[ROW][C]-0.716379716406903[/C][/ROW]
[ROW][C]-0.44854510911269[/C][/ROW]
[ROW][C]-0.0971453439206475[/C][/ROW]
[ROW][C]-0.865479766274416[/C][/ROW]
[ROW][C]-0.904500207650295[/C][/ROW]
[ROW][C]0.690120598523412[/C][/ROW]
[ROW][C]-0.795703312192831[/C][/ROW]
[ROW][C]0.781365242220058[/C][/ROW]
[ROW][C]-0.124128003074553[/C][/ROW]
[ROW][C]-1.69466061332492[/C][/ROW]
[ROW][C]-1.03055029619273[/C][/ROW]
[ROW][C]0.465302669578839[/C][/ROW]
[ROW][C]-0.0561806327383645[/C][/ROW]
[ROW][C]0.0259168511196107[/C][/ROW]
[ROW][C]0.315409469343088[/C][/ROW]
[ROW][C]-0.306448034967587[/C][/ROW]
[ROW][C]0.301887353927263[/C][/ROW]
[ROW][C]0.881035341392575[/C][/ROW]
[ROW][C]0.0797409227067284[/C][/ROW]
[ROW][C]0.0940408443053726[/C][/ROW]
[ROW][C]-1.14690242394420[/C][/ROW]
[ROW][C]-0.125397433653706[/C][/ROW]
[ROW][C]0.0053321535255946[/C][/ROW]
[ROW][C]-0.405350516297234[/C][/ROW]
[ROW][C]0.572186709757744[/C][/ROW]
[ROW][C]0.457409913281583[/C][/ROW]
[ROW][C]-0.384316811875781[/C][/ROW]
[ROW][C]0.118005032877932[/C][/ROW]
[ROW][C]0.615443790657473[/C][/ROW]
[ROW][C]-0.509675966721202[/C][/ROW]
[ROW][C]-0.406835488887793[/C][/ROW]
[ROW][C]-0.04282914330798[/C][/ROW]
[ROW][C]-0.125554865548761[/C][/ROW]
[ROW][C]0.488873106460184[/C][/ROW]
[ROW][C]-1.02579831806932[/C][/ROW]
[ROW][C]0.327160724901883[/C][/ROW]
[ROW][C]0.893921478246055[/C][/ROW]
[ROW][C]-0.5545044943656[/C][/ROW]
[ROW][C]-0.41955088619219[/C][/ROW]
[ROW][C]-0.00346494586041232[/C][/ROW]
[ROW][C]0.306837377979886[/C][/ROW]
[ROW][C]0.846760972193268[/C][/ROW]
[ROW][C]0.422036671869679[/C][/ROW]
[ROW][C]0.805422769129887[/C][/ROW]
[ROW][C]0.94423039574766[/C][/ROW]
[ROW][C]1.21898244609563[/C][/ROW]
[ROW][C]0.464576819004203[/C][/ROW]
[ROW][C]0.361306035638239[/C][/ROW]
[ROW][C]-0.074405470786997[/C][/ROW]
[ROW][C]-0.119719675546748[/C][/ROW]
[ROW][C]-0.988271319001858[/C][/ROW]
[ROW][C]0.0559508594556734[/C][/ROW]
[ROW][C]0.606928024369986[/C][/ROW]
[ROW][C]0.0359676052206269[/C][/ROW]
[ROW][C]-0.9176888166839[/C][/ROW]
[ROW][C]-0.287878257322881[/C][/ROW]
[ROW][C]-0.375759823161625[/C][/ROW]
[ROW][C]-0.375896271358500[/C][/ROW]
[ROW][C]-0.473383300834853[/C][/ROW]
[ROW][C]-0.0536142110380478[/C][/ROW]
[ROW][C]0.471940146500986[/C][/ROW]
[ROW][C]-0.781161000200814[/C][/ROW]
[ROW][C]-0.091598214305195[/C][/ROW]
[ROW][C]-0.489868866047729[/C][/ROW]
[ROW][C]0.540634579715539[/C][/ROW]
[ROW][C]-0.359355740203521[/C][/ROW]
[ROW][C]0.593041757743052[/C][/ROW]
[ROW][C]0.0631675497874839[/C][/ROW]
[ROW][C]-0.0943582908512195[/C][/ROW]
[ROW][C]-0.816983188416501[/C][/ROW]
[ROW][C]-0.0805053422502148[/C][/ROW]
[ROW][C]0.768480713378102[/C][/ROW]
[ROW][C]-0.57605325119867[/C][/ROW]
[ROW][C]0.986609632980512[/C][/ROW]
[ROW][C]0.427256955706978[/C][/ROW]
[ROW][C]-0.667532462409096[/C][/ROW]
[ROW][C]-0.91910690677593[/C][/ROW]
[ROW][C]-0.159683197476388[/C][/ROW]
[ROW][C]0.273272118012582[/C][/ROW]
[ROW][C]0.940586142238968[/C][/ROW]
[ROW][C]-0.0696985283723879[/C][/ROW]
[ROW][C]-0.579137992853016[/C][/ROW]
[ROW][C]-0.492928060153981[/C][/ROW]
[ROW][C]-0.224403738254874[/C][/ROW]
[ROW][C]0.308106016256194[/C][/ROW]
[ROW][C]0.597399339185421[/C][/ROW]
[ROW][C]0.567074244375072[/C][/ROW]
[ROW][C]-0.74083306063443[/C][/ROW]
[ROW][C]-0.121836398880596[/C][/ROW]
[ROW][C]0.443471168812324[/C][/ROW]
[ROW][C]0.486815588226986[/C][/ROW]
[ROW][C]0.8122472535585[/C][/ROW]
[ROW][C]0.176694367883861[/C][/ROW]
[ROW][C]0.73966462830351[/C][/ROW]
[ROW][C]1.24224740387558[/C][/ROW]
[ROW][C]0.179637770138367[/C][/ROW]
[ROW][C]0.0764771692804016[/C][/ROW]
[ROW][C]-0.362284295792665[/C][/ROW]
[ROW][C]-0.213927888646896[/C][/ROW]
[ROW][C]0.218843730897923[/C][/ROW]
[ROW][C]-0.153602604750406[/C][/ROW]
[ROW][C]-1.04455520036795[/C][/ROW]
[ROW][C]-0.134743704238792[/C][/ROW]
[ROW][C]-0.931319828953823[/C][/ROW]
[ROW][C]0.63793565450413[/C][/ROW]
[ROW][C]-0.437848055838722[/C][/ROW]
[ROW][C]-0.425045099608669[/C][/ROW]
[ROW][C]-0.399196035756154[/C][/ROW]
[ROW][C]-1.15036497622932[/C][/ROW]
[ROW][C]0.0680203906693219[/C][/ROW]
[ROW][C]0.589321642700049[/C][/ROW]
[ROW][C]-0.0335588623734940[/C][/ROW]
[ROW][C]0.251521486563177[/C][/ROW]
[ROW][C]0.140538516804797[/C][/ROW]
[ROW][C]0.581752689001434[/C][/ROW]
[ROW][C]0.0155041555124467[/C][/ROW]
[ROW][C]-0.878847130605813[/C][/ROW]
[ROW][C]-0.376316541609917[/C][/ROW]
[ROW][C]-0.697891683941713[/C][/ROW]
[ROW][C]1.39856304192844[/C][/ROW]
[ROW][C]-0.404539966174718[/C][/ROW]
[ROW][C]-0.380770905936541[/C][/ROW]
[ROW][C]1.15328872998613[/C][/ROW]
[ROW][C]-0.381923217575274[/C][/ROW]
[ROW][C]0.256147381412914[/C][/ROW]
[ROW][C]-0.498558740780052[/C][/ROW]
[ROW][C]0.930016787275352[/C][/ROW]
[ROW][C]0.127544202029175[/C][/ROW]
[ROW][C]0.770213550815017[/C][/ROW]
[ROW][C]-0.0195424808925343[/C][/ROW]
[ROW][C]0.341686524390029[/C][/ROW]
[ROW][C]-0.412070725914624[/C][/ROW]
[ROW][C]-0.235566493746768[/C][/ROW]
[ROW][C]0.0982649381804313[/C][/ROW]
[ROW][C]0.162878640302917[/C][/ROW]
[ROW][C]-0.296856749011764[/C][/ROW]
[ROW][C]-0.420360628648726[/C][/ROW]
[ROW][C]-0.193338922231712[/C][/ROW]
[ROW][C]-0.181286160696818[/C][/ROW]
[ROW][C]-0.724896213219851[/C][/ROW]
[ROW][C]-0.0683055554493695[/C][/ROW]
[ROW][C]-0.247759929474383[/C][/ROW]
[ROW][C]-0.464291713500061[/C][/ROW]
[ROW][C]0.0619176688997704[/C][/ROW]
[ROW][C]0.104244535331533[/C][/ROW]
[ROW][C]0.757925348669747[/C][/ROW]
[ROW][C]-0.748154011383248[/C][/ROW]
[ROW][C]-0.49945065996013[/C][/ROW]
[ROW][C]1.14005127128157[/C][/ROW]
[ROW][C]-0.254706359325444[/C][/ROW]
[ROW][C]-0.600850232393074[/C][/ROW]
[ROW][C]0.622843408196651[/C][/ROW]
[ROW][C]-0.292585847313897[/C][/ROW]
[ROW][C]0.292640595295300[/C][/ROW]
[ROW][C]0.509499147866279[/C][/ROW]
[ROW][C]-0.842922911558323[/C][/ROW]
[ROW][C]-0.0275414526702224[/C][/ROW]
[ROW][C]0.357152429210257[/C][/ROW]
[ROW][C]0.291961070529115[/C][/ROW]
[ROW][C]-0.389558121992546[/C][/ROW]
[ROW][C]-0.369929573312349[/C][/ROW]
[ROW][C]0.193804649134459[/C][/ROW]
[ROW][C]0.177656345079176[/C][/ROW]
[ROW][C]0.242979360161232[/C][/ROW]
[ROW][C]-0.564170844634097[/C][/ROW]
[ROW][C]-0.0615810549043483[/C][/ROW]
[ROW][C]-0.222983335420796[/C][/ROW]
[ROW][C]-0.0297208113148836[/C][/ROW]
[ROW][C]0.212469569269945[/C][/ROW]
[ROW][C]-0.536138571801298[/C][/ROW]
[ROW][C]1.10986886426036[/C][/ROW]
[ROW][C]-1.14961246331019[/C][/ROW]
[ROW][C]0.272140946711227[/C][/ROW]
[ROW][C]0.263654278737041[/C][/ROW]
[ROW][C]0.00389506581263986[/C][/ROW]
[ROW][C]-0.705580580801604[/C][/ROW]
[ROW][C]0.109141032683140[/C][/ROW]
[ROW][C]-0.281343834752921[/C][/ROW]
[ROW][C]0.487600262838102[/C][/ROW]
[ROW][C]-0.627670998204404[/C][/ROW]
[ROW][C]0.487189060656794[/C][/ROW]
[ROW][C]-0.253719740937769[/C][/ROW]
[ROW][C]0.589951294610087[/C][/ROW]
[ROW][C]-0.520815878239056[/C][/ROW]
[ROW][C]-0.212207038657821[/C][/ROW]
[ROW][C]0.0113128584673827[/C][/ROW]
[ROW][C]-0.105087586832824[/C][/ROW]
[ROW][C]-0.247912469874973[/C][/ROW]
[ROW][C]-0.434616539421559[/C][/ROW]
[ROW][C]-0.267710644256125[/C][/ROW]
[ROW][C]-0.459382097668424[/C][/ROW]
[ROW][C]0.519792926945443[/C][/ROW]
[ROW][C]0.266651253030138[/C][/ROW]
[ROW][C]0.583604897832476[/C][/ROW]
[ROW][C]0.403120044142958[/C][/ROW]
[ROW][C]-0.473124336585004[/C][/ROW]
[ROW][C]-0.116096971640842[/C][/ROW]
[ROW][C]-0.0738803891450805[/C][/ROW]
[ROW][C]0.193048285048089[/C][/ROW]
[ROW][C]-0.37576483653049[/C][/ROW]
[ROW][C]0.199648530562112[/C][/ROW]
[ROW][C]-0.0778288532380645[/C][/ROW]
[ROW][C]-0.0343375707541298[/C][/ROW]
[ROW][C]-0.0212573037394225[/C][/ROW]
[ROW][C]0.0225493688011695[/C][/ROW]
[ROW][C]-0.323902128777146[/C][/ROW]
[ROW][C]1.53535943796530[/C][/ROW]
[ROW][C]0.201362715830402[/C][/ROW]
[ROW][C]-0.612251804481435[/C][/ROW]
[ROW][C]0.693628036989325[/C][/ROW]
[ROW][C]0.384751263909798[/C][/ROW]
[ROW][C]-1.00802717589196[/C][/ROW]
[ROW][C]-0.681279561627163[/C][/ROW]
[ROW][C]-0.254530442234408[/C][/ROW]
[ROW][C]0.74300930986396[/C][/ROW]
[ROW][C]-0.333560121031541[/C][/ROW]
[ROW][C]-0.53775279579409[/C][/ROW]
[ROW][C]-0.0568901949701647[/C][/ROW]
[ROW][C]1.68474470700757[/C][/ROW]
[ROW][C]0.0304585180416455[/C][/ROW]
[ROW][C]-0.96357773351454[/C][/ROW]
[ROW][C]0.195151982851169[/C][/ROW]
[ROW][C]-0.0513061069573991[/C][/ROW]
[ROW][C]-0.239852922972064[/C][/ROW]
[ROW][C]-0.372177200935214[/C][/ROW]
[ROW][C]0.0915875852558678[/C][/ROW]
[ROW][C]0.0305511167225314[/C][/ROW]
[ROW][C]0.213153001165288[/C][/ROW]
[ROW][C]0.368026908567864[/C][/ROW]
[ROW][C]-0.411006019949606[/C][/ROW]
[ROW][C]0.481257533668623[/C][/ROW]
[ROW][C]0.63180231377811[/C][/ROW]
[ROW][C]-0.220950414309914[/C][/ROW]
[ROW][C]0.737857329877878[/C][/ROW]
[ROW][C]-0.257884884405927[/C][/ROW]
[ROW][C]-0.949991082196831[/C][/ROW]
[ROW][C]0.0523195255472962[/C][/ROW]
[ROW][C]1.02516428459687[/C][/ROW]
[ROW][C]0.752476765958241[/C][/ROW]
[ROW][C]0.219910699189225[/C][/ROW]
[ROW][C]0.169475537099975[/C][/ROW]
[ROW][C]-0.0761904023119937[/C][/ROW]
[ROW][C]0.240909469535640[/C][/ROW]
[ROW][C]0.584807031847266[/C][/ROW]
[ROW][C]0.0290415699198926[/C][/ROW]
[ROW][C]0.379719050528907[/C][/ROW]
[ROW][C]0.0400904143395234[/C][/ROW]
[ROW][C]0.519980678144645[/C][/ROW]
[ROW][C]0.161755889685972[/C][/ROW]
[ROW][C]-0.0978265334320276[/C][/ROW]
[ROW][C]-0.439817743832924[/C][/ROW]
[ROW][C]-0.0342452728156185[/C][/ROW]
[ROW][C]-0.207145775510177[/C][/ROW]
[ROW][C]-0.139150135408349[/C][/ROW]
[ROW][C]-0.39412882051681[/C][/ROW]
[ROW][C]0.592946420416842[/C][/ROW]
[ROW][C]0.301731084358361[/C][/ROW]
[ROW][C]-0.414211431595129[/C][/ROW]
[ROW][C]-0.465314957460324[/C][/ROW]
[ROW][C]0.337033465743959[/C][/ROW]
[ROW][C]-0.0657714559835786[/C][/ROW]
[ROW][C]-0.0360072910342937[/C][/ROW]
[ROW][C]-0.363592049308459[/C][/ROW]
[ROW][C]0.158036901720176[/C][/ROW]
[ROW][C]-0.214759658276242[/C][/ROW]
[ROW][C]-0.255197642758187[/C][/ROW]
[ROW][C]-0.269319073235149[/C][/ROW]
[ROW][C]0.256165871195612[/C][/ROW]
[ROW][C]0.129635401959728[/C][/ROW]
[ROW][C]-0.197074672754405[/C][/ROW]
[ROW][C]-0.130962841322422[/C][/ROW]
[ROW][C]-0.839369696369322[/C][/ROW]
[ROW][C]-0.0676270422637601[/C][/ROW]
[ROW][C]-0.098441183229917[/C][/ROW]
[ROW][C]0.260417072794867[/C][/ROW]
[ROW][C]-0.197529630986854[/C][/ROW]
[ROW][C]0.122386645061053[/C][/ROW]
[ROW][C]-0.249591717307831[/C][/ROW]
[ROW][C]-0.194934029598613[/C][/ROW]
[ROW][C]0.0681567650980711[/C][/ROW]
[ROW][C]-0.0207337999364798[/C][/ROW]
[ROW][C]0.253455369382004[/C][/ROW]
[ROW][C]-0.676087936739079[/C][/ROW]
[ROW][C]0.598947140850026[/C][/ROW]
[ROW][C]0.325622827216189[/C][/ROW]
[ROW][C]0.491251080423761[/C][/ROW]
[ROW][C]-0.0963447617477654[/C][/ROW]
[ROW][C]-0.445760197758316[/C][/ROW]
[ROW][C]-0.133582266721857[/C][/ROW]
[ROW][C]0.427765917564721[/C][/ROW]
[ROW][C]0.172905129143995[/C][/ROW]
[ROW][C]0.305401267338732[/C][/ROW]
[ROW][C]-0.152545886367354[/C][/ROW]
[ROW][C]0.893364867224313[/C][/ROW]
[ROW][C]0.0863441300685131[/C][/ROW]
[ROW][C]0.80860821458795[/C][/ROW]
[ROW][C]0.867722330426451[/C][/ROW]
[ROW][C]1.76209741628754[/C][/ROW]
[ROW][C]-0.52775396135103[/C][/ROW]
[ROW][C]0.236609240816034[/C][/ROW]
[ROW][C]-0.064939350399948[/C][/ROW]
[ROW][C]0.0940007474876842[/C][/ROW]
[ROW][C]-1.08164562198798[/C][/ROW]
[ROW][C]-0.0183584304884344[/C][/ROW]
[ROW][C]0.136080265746180[/C][/ROW]
[ROW][C]-0.278716504685671[/C][/ROW]
[ROW][C]0.0303392270928290[/C][/ROW]
[ROW][C]-0.558499297590592[/C][/ROW]
[ROW][C]-0.112486610434513[/C][/ROW]
[ROW][C]-0.40528301546346[/C][/ROW]
[ROW][C]-0.396194178607099[/C][/ROW]
[ROW][C]-0.261098013511907[/C][/ROW]
[ROW][C]-0.0589581738075484[/C][/ROW]
[ROW][C]-0.451667138580615[/C][/ROW]
[ROW][C]0.256694446889944[/C][/ROW]
[ROW][C]0.5588847707046[/C][/ROW]
[ROW][C]0.271719479925607[/C][/ROW]
[ROW][C]-0.603465697302591[/C][/ROW]
[ROW][C]0.0859390159438693[/C][/ROW]
[ROW][C]0.157731466484456[/C][/ROW]
[ROW][C]-0.243812420891653[/C][/ROW]
[ROW][C]-0.663034860169572[/C][/ROW]
[ROW][C]0.467382175885279[/C][/ROW]
[ROW][C]-0.283205262455952[/C][/ROW]
[ROW][C]-0.882915957726698[/C][/ROW]
[ROW][C]0.0799371046536504[/C][/ROW]
[ROW][C]0.254213841652969[/C][/ROW]
[ROW][C]-0.47774254554963[/C][/ROW]
[ROW][C]0.416023748757773[/C][/ROW]
[ROW][C]-0.323390693159887[/C][/ROW]
[ROW][C]-0.0207414540960354[/C][/ROW]
[ROW][C]-0.109027462868552[/C][/ROW]
[ROW][C]-0.939484763091932[/C][/ROW]
[ROW][C]0.166026591272360[/C][/ROW]
[ROW][C]-0.286100834688621[/C][/ROW]
[ROW][C]0.240630156941920[/C][/ROW]
[ROW][C]-0.251452322084936[/C][/ROW]
[ROW][C]0.250871251369388[/C][/ROW]
[ROW][C]-0.62236842326008[/C][/ROW]
[ROW][C]0.826042886928286[/C][/ROW]
[ROW][C]-0.324473388182784[/C][/ROW]
[ROW][C]-0.0990067500977558[/C][/ROW]
[ROW][C]-0.172440261155664[/C][/ROW]
[ROW][C]-0.0223565146862487[/C][/ROW]
[ROW][C]0.519804051658072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30341&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30341&T=2

As an alternative you can also use a QR Code:

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

Estimated ARIMA Residuals
Value
-0.0447140207574356
-0.0687939177362655
0.200155724793765
0.369718255141935
1.50862674904585
-0.396731766178692
0.457173236285062
-0.456397895754196
-0.334604281408787
1.35890357861291
-1.39274870780791
-0.390681638310261
0.267121167873759
-0.898003612386934
-0.568715152807615
-0.716379716406903
-0.44854510911269
-0.0971453439206475
-0.865479766274416
-0.904500207650295
0.690120598523412
-0.795703312192831
0.781365242220058
-0.124128003074553
-1.69466061332492
-1.03055029619273
0.465302669578839
-0.0561806327383645
0.0259168511196107
0.315409469343088
-0.306448034967587
0.301887353927263
0.881035341392575
0.0797409227067284
0.0940408443053726
-1.14690242394420
-0.125397433653706
0.0053321535255946
-0.405350516297234
0.572186709757744
0.457409913281583
-0.384316811875781
0.118005032877932
0.615443790657473
-0.509675966721202
-0.406835488887793
-0.04282914330798
-0.125554865548761
0.488873106460184
-1.02579831806932
0.327160724901883
0.893921478246055
-0.5545044943656
-0.41955088619219
-0.00346494586041232
0.306837377979886
0.846760972193268
0.422036671869679
0.805422769129887
0.94423039574766
1.21898244609563
0.464576819004203
0.361306035638239
-0.074405470786997
-0.119719675546748
-0.988271319001858
0.0559508594556734
0.606928024369986
0.0359676052206269
-0.9176888166839
-0.287878257322881
-0.375759823161625
-0.375896271358500
-0.473383300834853
-0.0536142110380478
0.471940146500986
-0.781161000200814
-0.091598214305195
-0.489868866047729
0.540634579715539
-0.359355740203521
0.593041757743052
0.0631675497874839
-0.0943582908512195
-0.816983188416501
-0.0805053422502148
0.768480713378102
-0.57605325119867
0.986609632980512
0.427256955706978
-0.667532462409096
-0.91910690677593
-0.159683197476388
0.273272118012582
0.940586142238968
-0.0696985283723879
-0.579137992853016
-0.492928060153981
-0.224403738254874
0.308106016256194
0.597399339185421
0.567074244375072
-0.74083306063443
-0.121836398880596
0.443471168812324
0.486815588226986
0.8122472535585
0.176694367883861
0.73966462830351
1.24224740387558
0.179637770138367
0.0764771692804016
-0.362284295792665
-0.213927888646896
0.218843730897923
-0.153602604750406
-1.04455520036795
-0.134743704238792
-0.931319828953823
0.63793565450413
-0.437848055838722
-0.425045099608669
-0.399196035756154
-1.15036497622932
0.0680203906693219
0.589321642700049
-0.0335588623734940
0.251521486563177
0.140538516804797
0.581752689001434
0.0155041555124467
-0.878847130605813
-0.376316541609917
-0.697891683941713
1.39856304192844
-0.404539966174718
-0.380770905936541
1.15328872998613
-0.381923217575274
0.256147381412914
-0.498558740780052
0.930016787275352
0.127544202029175
0.770213550815017
-0.0195424808925343
0.341686524390029
-0.412070725914624
-0.235566493746768
0.0982649381804313
0.162878640302917
-0.296856749011764
-0.420360628648726
-0.193338922231712
-0.181286160696818
-0.724896213219851
-0.0683055554493695
-0.247759929474383
-0.464291713500061
0.0619176688997704
0.104244535331533
0.757925348669747
-0.748154011383248
-0.49945065996013
1.14005127128157
-0.254706359325444
-0.600850232393074
0.622843408196651
-0.292585847313897
0.292640595295300
0.509499147866279
-0.842922911558323
-0.0275414526702224
0.357152429210257
0.291961070529115
-0.389558121992546
-0.369929573312349
0.193804649134459
0.177656345079176
0.242979360161232
-0.564170844634097
-0.0615810549043483
-0.222983335420796
-0.0297208113148836
0.212469569269945
-0.536138571801298
1.10986886426036
-1.14961246331019
0.272140946711227
0.263654278737041
0.00389506581263986
-0.705580580801604
0.109141032683140
-0.281343834752921
0.487600262838102
-0.627670998204404
0.487189060656794
-0.253719740937769
0.589951294610087
-0.520815878239056
-0.212207038657821
0.0113128584673827
-0.105087586832824
-0.247912469874973
-0.434616539421559
-0.267710644256125
-0.459382097668424
0.519792926945443
0.266651253030138
0.583604897832476
0.403120044142958
-0.473124336585004
-0.116096971640842
-0.0738803891450805
0.193048285048089
-0.37576483653049
0.199648530562112
-0.0778288532380645
-0.0343375707541298
-0.0212573037394225
0.0225493688011695
-0.323902128777146
1.53535943796530
0.201362715830402
-0.612251804481435
0.693628036989325
0.384751263909798
-1.00802717589196
-0.681279561627163
-0.254530442234408
0.74300930986396
-0.333560121031541
-0.53775279579409
-0.0568901949701647
1.68474470700757
0.0304585180416455
-0.96357773351454
0.195151982851169
-0.0513061069573991
-0.239852922972064
-0.372177200935214
0.0915875852558678
0.0305511167225314
0.213153001165288
0.368026908567864
-0.411006019949606
0.481257533668623
0.63180231377811
-0.220950414309914
0.737857329877878
-0.257884884405927
-0.949991082196831
0.0523195255472962
1.02516428459687
0.752476765958241
0.219910699189225
0.169475537099975
-0.0761904023119937
0.240909469535640
0.584807031847266
0.0290415699198926
0.379719050528907
0.0400904143395234
0.519980678144645
0.161755889685972
-0.0978265334320276
-0.439817743832924
-0.0342452728156185
-0.207145775510177
-0.139150135408349
-0.39412882051681
0.592946420416842
0.301731084358361
-0.414211431595129
-0.465314957460324
0.337033465743959
-0.0657714559835786
-0.0360072910342937
-0.363592049308459
0.158036901720176
-0.214759658276242
-0.255197642758187
-0.269319073235149
0.256165871195612
0.129635401959728
-0.197074672754405
-0.130962841322422
-0.839369696369322
-0.0676270422637601
-0.098441183229917
0.260417072794867
-0.197529630986854
0.122386645061053
-0.249591717307831
-0.194934029598613
0.0681567650980711
-0.0207337999364798
0.253455369382004
-0.676087936739079
0.598947140850026
0.325622827216189
0.491251080423761
-0.0963447617477654
-0.445760197758316
-0.133582266721857
0.427765917564721
0.172905129143995
0.305401267338732
-0.152545886367354
0.893364867224313
0.0863441300685131
0.80860821458795
0.867722330426451
1.76209741628754
-0.52775396135103
0.236609240816034
-0.064939350399948
0.0940007474876842
-1.08164562198798
-0.0183584304884344
0.136080265746180
-0.278716504685671
0.0303392270928290
-0.558499297590592
-0.112486610434513
-0.40528301546346
-0.396194178607099
-0.261098013511907
-0.0589581738075484
-0.451667138580615
0.256694446889944
0.5588847707046
0.271719479925607
-0.603465697302591
0.0859390159438693
0.157731466484456
-0.243812420891653
-0.663034860169572
0.467382175885279
-0.283205262455952
-0.882915957726698
0.0799371046536504
0.254213841652969
-0.47774254554963
0.416023748757773
-0.323390693159887
-0.0207414540960354
-0.109027462868552
-0.939484763091932
0.166026591272360
-0.286100834688621
0.240630156941920
-0.251452322084936
0.250871251369388
-0.62236842326008
0.826042886928286
-0.324473388182784
-0.0990067500977558
-0.172440261155664
-0.0223565146862487
0.519804051658072

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Figure 5

PNG link

Postscript link

PDF link

Figure 6

PNG link

Postscript link

PDF link

Figure 7

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 60 ; par2 = 0.5 ; par3 = 1 ; par4 = 1 ; par5 = 12 ;

Parameters (R input):

par1 = FALSE ; par2 = 0.5 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = 2 ; par7 = 0 ; par8 = 0 ; par9 = 1 ;

R code (references can be found in the software module):

library(lattice)
if (par1 == 'TRUE') par1 <- TRUE
if (par1 == 'FALSE') par1 <- FALSE
par2 <- as.numeric(par2) #Box-Cox lambda transformation parameter
par3 <- as.numeric(par3) #degree of non-seasonal differencing
par4 <- as.numeric(par4) #degree of seasonal differencing
par5 <- as.numeric(par5) #seasonal period
par6 <- as.numeric(par6) #degree (p) of the non-seasonal AR(p) polynomial
par7 <- as.numeric(par7) #degree (q) of the non-seasonal MA(q) polynomial
par8 <- as.numeric(par8) #degree (P) of the seasonal AR(P) polynomial
par9 <- as.numeric(par9) #degree (Q) of the seasonal MA(Q) polynomial
armaGR <- function(arima.out, names, n){
try1 <- arima.out$coef
try2 <- sqrt(diag(arima.out$var.coef))
try.data.frame  <- data.frame(matrix(NA,ncol=4,nrow=length(names)))
dimnames(try.data.frame) <- list(names,c('coef','std','tstat','pv'))
try.data.frame[,1] <- try1
for(i in 1:length(try2)) try.data.frame[which(rownames(try.data.frame)==names(try2)[i]),2] <- try2[i]
try.data.frame[,3] <- try.data.frame[,1] / try.data.frame[,2]
try.data.frame[,4] <- round((1-pt(abs(try.data.frame[,3]),df=n-(length(try2)+1)))*2,5)
vector <- rep(NA,length(names))
vector[is.na(try.data.frame[,4])] <- 0
maxi <- which.max(try.data.frame[,4])
continue <- max(try.data.frame[,4],na.rm=TRUE) > .05
vector[maxi] <- 0
list(summary=try.data.frame,next.vector=vector,continue=continue)
}
arimaSelect <- function(series, order=c(13,0,0), seasonal=list(order=c(2,0,0),period=12), include.mean=F){
nrc <- order[1]+order[3]+seasonal$order[1]+seasonal$order[3]
coeff <- matrix(NA, nrow=nrc*2, ncol=nrc)
pval <- matrix(NA, nrow=nrc*2, ncol=nrc)
mylist <- rep(list(NULL), nrc)
names  <- NULL
if(order[1] > 0) names <- paste('ar',1:order[1],sep='')
if(order[3] > 0) names <- c( names , paste('ma',1:order[3],sep='') )
if(seasonal$order[1] > 0) names <- c(names, paste('sar',1:seasonal$order[1],sep=''))
if(seasonal$order[3] > 0) names <- c(names, paste('sma',1:seasonal$order[3],sep=''))
arima.out <- arima(series, order=order, seasonal=seasonal, include.mean=include.mean, method='ML')
mylist[[1]] <- arima.out
last.arma <- armaGR(arima.out, names, length(series))
mystop <- FALSE
i <- 1
coeff[i,] <- last.arma[[1]][,1]
pval [i,] <- last.arma[[1]][,4]
i <- 2
aic <- arima.out$aic
while(!mystop){
mylist[[i]] <- arima.out
arima.out <- arima(series, order=order, seasonal=seasonal, include.mean=include.mean, method='ML', fixed=last.arma$next.vector)
aic <- c(aic, arima.out$aic)
last.arma <- armaGR(arima.out, names, length(series))
mystop <- !last.arma$continue
coeff[i,] <- last.arma[[1]][,1]
pval [i,] <- last.arma[[1]][,4]
i <- i+1
}
list(coeff, pval, mylist, aic=aic)
}
arimaSelectplot <- function(arimaSelect.out,noms,choix){
noms <- names(arimaSelect.out[[3]][[1]]$coef)
coeff <- arimaSelect.out[[1]]
k <- min(which(is.na(coeff[,1])))-1
coeff <- coeff[1:k,]
pval  <- arimaSelect.out[[2]][1:k,]
aic   <- arimaSelect.out$aic[1:k]
coeff[coeff==0] <- NA
n <- ncol(coeff)
if(missing(choix)) choix <- k
layout(matrix(c(1,1,1,2,
3,3,3,2,
3,3,3,4,
5,6,7,7),nr=4),
widths=c(10,35,45,15),
heights=c(30,30,15,15))
couleurs <- rainbow(75)[1:50]#(50)
ticks <- pretty(coeff)
par(mar=c(1,1,3,1))
plot(aic,k:1-.5,type='o',pch=21,bg='blue',cex=2,axes=F,lty=2,xpd=NA)
points(aic[choix],k-choix+.5,pch=21,cex=4,bg=2,xpd=NA)
title('aic',line=2)
par(mar=c(3,0,0,0))
plot(0,axes=F,xlab='',ylab='',xlim=range(ticks),ylim=c(.1,1))
rect(xleft  = min(ticks) + (0:49)/50*(max(ticks)-min(ticks)),
xright = min(ticks) + (1:50)/50*(max(ticks)-min(ticks)),
ytop   = rep(1,50),
ybottom= rep(0,50),col=couleurs,border=NA)
axis(1,ticks)
rect(xleft=min(ticks),xright=max(ticks),ytop=1,ybottom=0)
text(mean(coeff,na.rm=T),.5,'coefficients',cex=2,font=2)
par(mar=c(1,1,3,1))
image(1:n,1:k,t(coeff[k:1,]),axes=F,col=couleurs,zlim=range(ticks))
for(i in 1:n) for(j in 1:k) if(!is.na(coeff[j,i])) {
if(pval[j,i]<.01)                            symb = 'green'
else if( (pval[j,i]<.05) & (pval[j,i]>=.01)) symb = 'orange'
else if( (pval[j,i]<.1)  & (pval[j,i]>=.05)) symb = 'red'
else                                         symb = 'black'
polygon(c(i+.5   ,i+.2   ,i+.5   ,i+.5),
c(k-j+0.5,k-j+0.5,k-j+0.8,k-j+0.5),
col=symb)
if(j==choix)  {
rect(xleft=i-.5,
xright=i+.5,
ybottom=k-j+1.5,
ytop=k-j+.5,
lwd=4)
text(i,
k-j+1,
round(coeff[j,i],2),
cex=1.2,
font=2)
}
else{
rect(xleft=i-.5,xright=i+.5,ybottom=k-j+1.5,ytop=k-j+.5)
text(i,k-j+1,round(coeff[j,i],2),cex=1.2,font=1)
}
}
axis(3,1:n,noms)
par(mar=c(0.5,0,0,0.5))
plot(0,axes=F,xlab='',ylab='',type='n',xlim=c(0,8),ylim=c(-.2,.8))
cols <- c('green','orange','red','black')
niv  <- c('0','0.01','0.05','0.1')
for(i in 0:3){
polygon(c(1+2*i   ,1+2*i   ,1+2*i-.5   ,1+2*i),
c(.4      ,.7      , .4        , .4),
col=cols[i+1])
text(2*i,0.5,niv[i+1],cex=1.5)
}
text(8,.5,1,cex=1.5)
text(4,0,'p-value',cex=2)
box()
residus <- arimaSelect.out[[3]][[choix]]$res
par(mar=c(1,2,4,1))
acf(residus,main='')
title('acf',line=.5)
par(mar=c(1,2,4,1))
pacf(residus,main='')
title('pacf',line=.5)
par(mar=c(2,2,4,1))
qqnorm(residus,main='')
title('qq-norm',line=.5)
qqline(residus)
residus
}
if (par2 == 0) x <- log(x)
if (par2 != 0) x <- x^par2
(selection <- arimaSelect(x, order=c(par6,par3,par7), seasonal=list(order=c(par8,par4,par9), period=par5)))
bitmap(file='test1.png')
resid <- arimaSelectplot(selection)
dev.off()
resid
bitmap(file='test2.png')
acf(resid,length(resid)/2, main='Residual Autocorrelation Function')
dev.off()
bitmap(file='test3.png')
pacf(resid,length(resid)/2, main='Residual Partial Autocorrelation Function')
dev.off()
bitmap(file='test4.png')
cpgram(resid, main='Residual Cumulative Periodogram')
dev.off()
bitmap(file='test5.png')
hist(resid, main='Residual Histogram', xlab='values of Residuals')
dev.off()
bitmap(file='test6.png')
densityplot(~resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test7.png')
qqnorm(resid, main='Residual Normal Q-Q Plot')
qqline(resid)
dev.off()
ncols <- length(selection[[1]][1,])
nrows <- length(selection[[2]][,1])-1
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ARIMA Parameter Estimation and Backward Selection', ncols+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Iteration', header=TRUE)
for (i in 1:ncols) {
a<-table.element(a,names(selection[[3]][[1]]$coef)[i],header=TRUE)
}
a<-table.row.end(a)
for (j in 1:nrows) {
a<-table.row.start(a)
mydum <- 'Estimates ('
mydum <- paste(mydum,j)
mydum <- paste(mydum,')')
a<-table.element(a,mydum, header=TRUE)
for (i in 1:ncols) {
a<-table.element(a,round(selection[[1]][j,i],4))
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'(p-val)', header=TRUE)
for (i in 1:ncols) {
mydum <- '('
mydum <- paste(mydum,round(selection[[2]][j,i],4),sep='')
mydum <- paste(mydum,')')
a<-table.element(a,mydum)
}
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,'Estimated ARIMA Residuals', 1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Value', 1,TRUE)
a<-table.row.end(a)
for (i in (par4*par5+par3):length(resid)) {
a<-table.row.start(a)
a<-table.element(a,resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code