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Author's title

Author*Unverified author*
R Software Modulerwasp_arimabackwardselection.wasp
Title produced by softwareARIMA Backward Selection
Date of computationMon, 08 Dec 2008 05:23:52 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/08/t1228739073ywo6gctmf7k3er7.htm/, Retrieved Thu, 16 May 2024 20:07:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30427, Retrieved Thu, 16 May 2024 20:07:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact220
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]
- RMP   [Spectral Analysis] [Gilliam Schoorel] [2008-12-07 21:00:07] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMP       [ARIMA Backward Selection] [Gilliam Schoorel] [2008-12-08 12:23:52] [4a7b7ae341cb1fe8993cedd56bcfa583] [Current]
- RMPD        [Standard Deviation-Mean Plot] [paper GS] [2008-12-09 09:08:37] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [Standard Deviation-Mean Plot] [Paper GS] [2008-12-09 09:12:31] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [Variance Reduction Matrix] [Gs Paper] [2008-12-09 09:16:24] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMP           [ARIMA Backward Selection] [Gilliam Schoorel] [2008-12-16 15:48:43] [74be16979710d4c4e7c6647856088456]
-                 [ARIMA Backward Selection] [Toon Wouters] [2008-12-16 21:13:25] [810fefdbb91d48e1fca60d884166311f]
- R                 [ARIMA Backward Selection] [Sören Van Donink] [2008-12-17 07:00:37] [74be16979710d4c4e7c6647856088456]
- RMPD        [Variance Reduction Matrix] [GS Paper] [2008-12-09 09:18:55] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [(Partial) Autocorrelation Function] [GS Paper] [2008-12-09 09:24:15] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [(Partial) Autocorrelation Function] [GS PAper] [2008-12-09 09:28:04] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [(Partial) Autocorrelation Function] [GS PAPER] [2008-12-09 09:30:03] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [(Partial) Autocorrelation Function] [GS Paper] [2008-12-09 09:31:54] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [(Partial) Autocorrelation Function] [gs Paper] [2008-12-09 09:33:56] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [(Partial) Autocorrelation Function] [GS paper] [2008-12-09 09:36:18] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [Spectral Analysis] [gs paper] [2008-12-09 09:39:31] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [Spectral Analysis] [gspaper] [2008-12-09 09:41:34] [a9b974cca921a7a5a84c6ce01f3dc8c2]
- RMPD        [Spectral Analysis] [gspaper] [2008-12-09 09:44:02] [a9b974cca921a7a5a84c6ce01f3dc8c2]
-   PD          [Spectral Analysis] [gspaper] [2008-12-09 09:57:38] [74be16979710d4c4e7c6647856088456]
-   PD          [Spectral Analysis] [gspaper] [2008-12-09 09:59:39] [74be16979710d4c4e7c6647856088456]
-   PD          [Spectral Analysis] [gspaper] [2008-12-09 10:01:08] [74be16979710d4c4e7c6647856088456]
- RMPD          [Kendall tau Correlation Matrix] [GSpaper] [2008-12-09 10:13:49] [666bda00bbd072dde5655a1423b1377b]
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Dataseries X:
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
266
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338
417.2
388.4
371.1
331.5
353.7
396.7
447
533.5
565.4
542.3
488.7
467.1
531.3
496.1
444
403.4
386.3
394.1
404.1
462.1
448.1
432.3
386.3
395.2
421.9
382.9
384.2
345.5
323.4
372.6
376
462.7
487
444.2
399.3
394.9
455.4
414
375.5
347
339.4
385.8
378.8
451.8
446.1
422.5
383.1
352.8
445.3
367.5
355.1
326.2
319.8
331.8
340.9
394.1
417.2
369.9
349.2
321.4
405.7
342.9
316.5
284.2
270.9
288.8
278.8
324.4
310.9
299
273
279.3
359.2
305
282.1
250.3
246.5
257.9
266.5
315.9
318.4
295.4
266.4
245.8
362.8
324.9
294.2
289.5
295.2
290.3
272
307.4
328.7
292.9
249.1
230.4
361.5
321.7
277.2
260.7
251
257.6
241.8
287.5
292.3
274.7
254.2
230
339
318.2
287
295.8
284
271
262.7
340.6
379.4
373.3
355.2
338.4
466.9
451
422
429.2
425.9
460.7
463.6
541.4
544.2
517.5
469.4
439.4
549
533
506.1
484
457
481.5
469.5
544.7
541.2
521.5
469.7
434.4
542.6
517.3
485.7
465.8
447
426.6
411.6
467.5
484.5
451.2
417.4
379.9
484.7
455
420.8
416.5
376.3
405.6
405.8
500.8
514
475.5
430.1
414.4
538
526
488.5
520.2
504.4
568.5
610.6
818
830.9
835.9
782
762.3
856.9
820.9
769.6
752.2
724.4
723.1
719.5
817.4
803.3
752.5
689
630.4
765.5
757.7
732.2
702.6
683.3
709.5
702.2
784.8
810.9
755.6
656.8
615.1
745.3
694.1
675.7
643.7
622.1
634.6
588
689.7
673.9
647.9
568.8
545.7
632.6
643.8
593.1
579.7
546
562.9
572.5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30427&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]4 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=30427&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30427&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 time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







ARIMA Parameter Estimation and Backward Selection
Iterationar1ar2ar3ma1sar1sar2sma1
Estimates ( 1 )0.0460.9813-0.03270.9769-0.6824-0.43080.7666
(p-val)(0.4158 )(0 )(0.5307 )(0 )(0 )(0 )(0 )
Estimates ( 2 )0.13780.806600.8730.69550.2998-0.9339
(p-val)(0.1697 )(0 )(NA )(0 )(0 )(0 )(0 )
Estimates ( 3 )00.9682010.68580.31-0.9376
(p-val)(NA )(0 )(NA )(0 )(0 )(0 )(0 )
Estimates ( 4 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 5 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 6 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 7 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 8 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 9 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 10 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 11 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 12 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 13 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )

\begin{tabular}{lllllllll}
\hline
ARIMA Parameter Estimation and Backward Selection \tabularnewline
Iteration & ar1 & ar2 & ar3 & ma1 & sar1 & sar2 & sma1 \tabularnewline
Estimates ( 1 ) & 0.046 & 0.9813 & -0.0327 & 0.9769 & -0.6824 & -0.4308 & 0.7666 \tabularnewline
(p-val) & (0.4158 ) & (0 ) & (0.5307 ) & (0 ) & (0 ) & (0 ) & (0 ) \tabularnewline
Estimates ( 2 ) & 0.1378 & 0.8066 & 0 & 0.873 & 0.6955 & 0.2998 & -0.9339 \tabularnewline
(p-val) & (0.1697 ) & (0 ) & (NA ) & (0 ) & (0 ) & (0 ) & (0 ) \tabularnewline
Estimates ( 3 ) & 0 & 0.9682 & 0 & 1 & 0.6858 & 0.31 & -0.9376 \tabularnewline
(p-val) & (NA ) & (0 ) & (NA ) & (0 ) & (0 ) & (0 ) & (0 ) \tabularnewline
Estimates ( 4 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 5 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 6 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 7 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 8 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 9 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 10 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 11 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 12 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 13 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30427&T=1

[TABLE]
[ROW][C]ARIMA Parameter Estimation and Backward Selection[/C][/ROW]
[ROW][C]Iteration[/C][C]ar1[/C][C]ar2[/C][C]ar3[/C][C]ma1[/C][C]sar1[/C][C]sar2[/C][C]sma1[/C][/ROW]
[ROW][C]Estimates ( 1 )[/C][C]0.046[/C][C]0.9813[/C][C]-0.0327[/C][C]0.9769[/C][C]-0.6824[/C][C]-0.4308[/C][C]0.7666[/C][/ROW]
[ROW][C](p-val)[/C][C](0.4158 )[/C][C](0 )[/C][C](0.5307 )[/C][C](0 )[/C][C](0 )[/C][C](0 )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 2 )[/C][C]0.1378[/C][C]0.8066[/C][C]0[/C][C]0.873[/C][C]0.6955[/C][C]0.2998[/C][C]-0.9339[/C][/ROW]
[ROW][C](p-val)[/C][C](0.1697 )[/C][C](0 )[/C][C](NA )[/C][C](0 )[/C][C](0 )[/C][C](0 )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 3 )[/C][C]0[/C][C]0.9682[/C][C]0[/C][C]1[/C][C]0.6858[/C][C]0.31[/C][C]-0.9376[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](0 )[/C][C](NA )[/C][C](0 )[/C][C](0 )[/C][C](0 )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 4 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/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][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 6 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 7 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 8 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 9 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 10 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 11 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 12 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 13 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/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][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30427&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30427&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
Iterationar1ar2ar3ma1sar1sar2sma1
Estimates ( 1 )0.0460.9813-0.03270.9769-0.6824-0.43080.7666
(p-val)(0.4158 )(0 )(0.5307 )(0 )(0 )(0 )(0 )
Estimates ( 2 )0.13780.806600.8730.69550.2998-0.9339
(p-val)(0.1697 )(0 )(NA )(0 )(0 )(0 )(0 )
Estimates ( 3 )00.9682010.68580.31-0.9376
(p-val)(NA )(0 )(NA )(0 )(0 )(0 )(0 )
Estimates ( 4 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 5 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 6 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 7 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 8 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 9 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 10 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 11 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 12 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )
Estimates ( 13 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )







Estimated ARIMA Residuals
Value
22.3785064886151
40.9449854923112
-11.7150027486239
-15.1713694101681
-34.3192405750359
34.6631751993281
-2.5700365450742
-8.71495255139827
-18.7197199380602
-41.5946118328445
24.9125431097621
20.5749333157631
82.5417586414395
24.2163691190038
4.62749597678372
8.01689679873285
48.6340273815247
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\begin{tabular}{lllllllll}
\hline
Estimated ARIMA Residuals \tabularnewline
Value \tabularnewline
 \tabularnewline
22.3785064886151 \tabularnewline
40.9449854923112 \tabularnewline
-11.7150027486239 \tabularnewline
-15.1713694101681 \tabularnewline
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34.6631751993281 \tabularnewline
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-18.7197199380602 \tabularnewline
-41.5946118328445 \tabularnewline
24.9125431097621 \tabularnewline
20.5749333157631 \tabularnewline
82.5417586414395 \tabularnewline
24.2163691190038 \tabularnewline
4.62749597678372 \tabularnewline
8.01689679873285 \tabularnewline
48.6340273815247 \tabularnewline
44.6048966919696 \tabularnewline
47.1904304522605 \tabularnewline
-24.8049727845385 \tabularnewline
-21.3029805312793 \tabularnewline
10.6098774215995 \tabularnewline
-6.62922807089883 \tabularnewline
21.6474287757540 \tabularnewline
86.2790415614575 \tabularnewline
3.29898528994313 \tabularnewline
-43.0114634321702 \tabularnewline
-36.6161689135998 \tabularnewline
-18.3718895838211 \tabularnewline
14.0785736665574 \tabularnewline
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29.6124227123327 \tabularnewline
8.06447856680947 \tabularnewline
13.0251813681365 \tabularnewline
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13.7481110553071 \tabularnewline
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-7.51532769208293 \tabularnewline
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23.8843735429063 \tabularnewline
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39.1765261980725 \tabularnewline
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1.38906596524935 \tabularnewline
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3.54638847751916 \tabularnewline
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13.729165209263 \tabularnewline
12.6854375108193 \tabularnewline
41.3224691204883 \tabularnewline
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111.959525653481 \tabularnewline
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13.7006006280804 \tabularnewline
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22.7603298222581 \tabularnewline
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54.3507822178595 \tabularnewline
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2.49482523392631 \tabularnewline
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4.89673867539702 \tabularnewline
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16.8444685392781 \tabularnewline
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26.4444989540797 \tabularnewline
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5.29407776417126 \tabularnewline
57.5689670685297 \tabularnewline
33.0452627610603 \tabularnewline
100.90745536152 \tabularnewline
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29.8553364971637 \tabularnewline
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55.6320179705152 \tabularnewline
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-23.5693026537418 \tabularnewline
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40.2537972896144 \tabularnewline
32.9859122879408 \tabularnewline
-11.1791199892917 \tabularnewline
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38.7503088349158 \tabularnewline
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35.734659816826 \tabularnewline
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44.3489094404115 \tabularnewline
-32.6181384830482 \tabularnewline
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60.2256701402524 \tabularnewline
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35.1358099493672 \tabularnewline
31.4587761608162 \tabularnewline
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65.4246364769504 \tabularnewline
30.3004542607972 \tabularnewline
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63.8814575771785 \tabularnewline
-40.1280602686094 \tabularnewline
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-10.9255640335868 \tabularnewline
-2.68663474049469 \tabularnewline
24.7060957030662 \tabularnewline
36.5885724761504 \tabularnewline
-33.1605601652453 \tabularnewline
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17.7496899438851 \tabularnewline
6.76065208026216 \tabularnewline
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14.6871703483882 \tabularnewline
-47.8339360451761 \tabularnewline
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39.6100944427891 \tabularnewline
27.958458369271 \tabularnewline
66.5830298755682 \tabularnewline
3.72135529391909 \tabularnewline
-21.2697790528745 \tabularnewline
-19.4581815597893 \tabularnewline
11.6773425646361 \tabularnewline
53.2530727671757 \tabularnewline
-48.0961463925165 \tabularnewline
-23.4546760274113 \tabularnewline
-43.4324308144439 \tabularnewline
-4.98183481685973 \tabularnewline
38.0609408475339 \tabularnewline
7.92836949024416 \tabularnewline
54.2320661829685 \tabularnewline
-24.9063265395049 \tabularnewline
-1.10564018654323 \tabularnewline
-16.9671999073641 \tabularnewline
-18.7554640918991 \tabularnewline
73.9259534092603 \tabularnewline
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6.8537785907898 \tabularnewline
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5.4083245196717 \tabularnewline
-8.23205922849942 \tabularnewline
34.3817468754066 \tabularnewline
29.5923401021473 \tabularnewline
4.35599640065295 \tabularnewline
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9.17797035835814 \tabularnewline
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14.3440593272324 \tabularnewline
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22.9008217341529 \tabularnewline
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-21.3651457335157 \tabularnewline
-25.7147708218192 \tabularnewline
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106.792565747689 \tabularnewline
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9.23618466290733 \tabularnewline
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30.9441435483516 \tabularnewline
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3.03289173462433 \tabularnewline
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75.1383794014399 \tabularnewline
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9.43898719155064 \tabularnewline
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12.5505470498203 \tabularnewline
5.66117619109626 \tabularnewline
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104.370356813131 \tabularnewline
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51.1722628541877 \tabularnewline
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12.3811129140797 \tabularnewline
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-16.3320042453507 \tabularnewline
70.6437612819805 \tabularnewline
-11.0435768256039 \tabularnewline
-12.0171715558186 \tabularnewline
-37.0535979061938 \tabularnewline
-22.4154288573814 \tabularnewline
-10.2135232215070 \tabularnewline
8.72223670055793 \tabularnewline
42.7357374916201 \tabularnewline
-25.2945605597388 \tabularnewline
-18.5584753079700 \tabularnewline
-7.20183932004707 \tabularnewline
-29.1160714591336 \tabularnewline
73.737129806159 \tabularnewline
-22.4524358694435 \tabularnewline
-8.05098551733854 \tabularnewline
-25.6150831694156 \tabularnewline
-45.9798873901229 \tabularnewline
38.0070685466039 \tabularnewline
20.8954464069369 \tabularnewline
87.3590284768338 \tabularnewline
-36.8433038018391 \tabularnewline
-6.00028478976395 \tabularnewline
-16.6828217950041 \tabularnewline
5.44520054551831 \tabularnewline
90.3490136325772 \tabularnewline
-2.75556800036073 \tabularnewline
-15.1188908141312 \tabularnewline
17.7559613696221 \tabularnewline
-16.4604846474355 \tabularnewline
82.8462211657965 \tabularnewline
64.1866081630914 \tabularnewline
212.141801606751 \tabularnewline
-27.5162871061304 \tabularnewline
59.0925851958034 \tabularnewline
-9.33494969992572 \tabularnewline
38.8452513534614 \tabularnewline
65.8918577392988 \tabularnewline
-3.48146105285567 \tabularnewline
-27.4368126741983 \tabularnewline
-32.2175370399562 \tabularnewline
-30.5667954444818 \tabularnewline
14.0696868915968 \tabularnewline
19.9566336806135 \tabularnewline
82.1444341841618 \tabularnewline
-52.5175605305678 \tabularnewline
-21.3237648151169 \tabularnewline
-28.2367619460549 \tabularnewline
-42.9761822181632 \tabularnewline
101.610245178895 \tabularnewline
-0.498610702839564 \tabularnewline
-0.079997811920639 \tabularnewline
-63.2860147148329 \tabularnewline
-7.55096938014204 \tabularnewline
42.8766809657915 \tabularnewline
26.9560965144466 \tabularnewline
61.0727678395122 \tabularnewline
-9.59667980466775 \tabularnewline
-23.8125051304427 \tabularnewline
-60.6272470502508 \tabularnewline
-30.6038087685784 \tabularnewline
104.704868679268 \tabularnewline
-48.3380132804681 \tabularnewline
-0.392843747144909 \tabularnewline
-62.6178787075433 \tabularnewline
-15.9593324342879 \tabularnewline
14.3216276827599 \tabularnewline
-8.43637649344316 \tabularnewline
77.2693447113406 \tabularnewline
-59.9668887155805 \tabularnewline
2.24656280965031 \tabularnewline
-55.0245021329475 \tabularnewline
-6.50577456560929 \tabularnewline
42.0329845100611 \tabularnewline
24.9639061093985 \tabularnewline
-32.3035835946257 \tabularnewline
-34.6340724681287 \tabularnewline
-48.0315549651446 \tabularnewline
38.9703539428678 \tabularnewline
33.97735328507 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30427&T=2

[TABLE]
[ROW][C]Estimated ARIMA Residuals[/C][/ROW]
[ROW][C]Value[/C][/ROW]
[ROW][C][/C][/ROW]
[ROW][C]22.3785064886151[/C][/ROW]
[ROW][C]40.9449854923112[/C][/ROW]
[ROW][C]-11.7150027486239[/C][/ROW]
[ROW][C]-15.1713694101681[/C][/ROW]
[ROW][C]-34.3192405750359[/C][/ROW]
[ROW][C]34.6631751993281[/C][/ROW]
[ROW][C]-2.5700365450742[/C][/ROW]
[ROW][C]-8.71495255139827[/C][/ROW]
[ROW][C]-18.7197199380602[/C][/ROW]
[ROW][C]-41.5946118328445[/C][/ROW]
[ROW][C]24.9125431097621[/C][/ROW]
[ROW][C]20.5749333157631[/C][/ROW]
[ROW][C]82.5417586414395[/C][/ROW]
[ROW][C]24.2163691190038[/C][/ROW]
[ROW][C]4.62749597678372[/C][/ROW]
[ROW][C]8.01689679873285[/C][/ROW]
[ROW][C]48.6340273815247[/C][/ROW]
[ROW][C]44.6048966919696[/C][/ROW]
[ROW][C]47.1904304522605[/C][/ROW]
[ROW][C]-24.8049727845385[/C][/ROW]
[ROW][C]-21.3029805312793[/C][/ROW]
[ROW][C]10.6098774215995[/C][/ROW]
[ROW][C]-6.62922807089883[/C][/ROW]
[ROW][C]21.6474287757540[/C][/ROW]
[ROW][C]86.2790415614575[/C][/ROW]
[ROW][C]3.29898528994313[/C][/ROW]
[ROW][C]-43.0114634321702[/C][/ROW]
[ROW][C]-36.6161689135998[/C][/ROW]
[ROW][C]-18.3718895838211[/C][/ROW]
[ROW][C]14.0785736665574[/C][/ROW]
[ROW][C]-27.6732402552926[/C][/ROW]
[ROW][C]-62.0918336579236[/C][/ROW]
[ROW][C]-33.2510892460472[/C][/ROW]
[ROW][C]-58.2897623151476[/C][/ROW]
[ROW][C]29.6124227123327[/C][/ROW]
[ROW][C]8.06447856680947[/C][/ROW]
[ROW][C]13.0251813681365[/C][/ROW]
[ROW][C]-44.1704696147069[/C][/ROW]
[ROW][C]-6.48022140887149[/C][/ROW]
[ROW][C]-14.8070855083806[/C][/ROW]
[ROW][C]-18.8694003575766[/C][/ROW]
[ROW][C]13.7481110553071[/C][/ROW]
[ROW][C]-9.39236542249925[/C][/ROW]
[ROW][C]-13.5127333135030[/C][/ROW]
[ROW][C]-7.51532769208293[/C][/ROW]
[ROW][C]-21.5986126264778[/C][/ROW]
[ROW][C]23.8843735429063[/C][/ROW]
[ROW][C]-3.9112570521293[/C][/ROW]
[ROW][C]39.1765261980725[/C][/ROW]
[ROW][C]-14.3497658608138[/C][/ROW]
[ROW][C]-22.4525668259679[/C][/ROW]
[ROW][C]1.38906596524935[/C][/ROW]
[ROW][C]-4.05314648410401[/C][/ROW]
[ROW][C]10.5301203574855[/C][/ROW]
[ROW][C]-1.86267892641382[/C][/ROW]
[ROW][C]3.54638847751916[/C][/ROW]
[ROW][C]-33.3781238177425[/C][/ROW]
[ROW][C]-33.1588764220521[/C][/ROW]
[ROW][C]13.729165209263[/C][/ROW]
[ROW][C]12.6854375108193[/C][/ROW]
[ROW][C]41.3224691204883[/C][/ROW]
[ROW][C]-39.0774706357962[/C][/ROW]
[ROW][C]-6.41378169116752[/C][/ROW]
[ROW][C]12.4167535249528[/C][/ROW]
[ROW][C]-17.9665881769272[/C][/ROW]
[ROW][C]2.19484627195182[/C][/ROW]
[ROW][C]-4.9131714361086[/C][/ROW]
[ROW][C]-0.442253734708405[/C][/ROW]
[ROW][C]-9.48862555319863[/C][/ROW]
[ROW][C]-10.7572951419594[/C][/ROW]
[ROW][C]44.4928343529694[/C][/ROW]
[ROW][C]48.7413692719579[/C][/ROW]
[ROW][C]111.959525653481[/C][/ROW]
[ROW][C]31.3669828326349[/C][/ROW]
[ROW][C]26.1937586166492[/C][/ROW]
[ROW][C]13.7006006280804[/C][/ROW]
[ROW][C]6.56818582516025[/C][/ROW]
[ROW][C]7.83339381526781[/C][/ROW]
[ROW][C]7.55496087423243[/C][/ROW]
[ROW][C]-2.98425607582805[/C][/ROW]
[ROW][C]-20.5845053349657[/C][/ROW]
[ROW][C]-56.2156557555713[/C][/ROW]
[ROW][C]22.7603298222581[/C][/ROW]
[ROW][C]3.04413403914670[/C][/ROW]
[ROW][C]54.3507822178595[/C][/ROW]
[ROW][C]-31.2361549820276[/C][/ROW]
[ROW][C]-14.9995226910323[/C][/ROW]
[ROW][C]2.49482523392631[/C][/ROW]
[ROW][C]-40.7524743218049[/C][/ROW]
[ROW][C]13.7889640103591[/C][/ROW]
[ROW][C]-29.6563757301657[/C][/ROW]
[ROW][C]4.89673867539702[/C][/ROW]
[ROW][C]-50.1295209619479[/C][/ROW]
[ROW][C]-2.03264673170375[/C][/ROW]
[ROW][C]16.8444685392781[/C][/ROW]
[ROW][C]23.0443833767602[/C][/ROW]
[ROW][C]26.4444989540797[/C][/ROW]
[ROW][C]-1.87217851794234[/C][/ROW]
[ROW][C]9.23334114424557[/C][/ROW]
[ROW][C]-17.3603588798825[/C][/ROW]
[ROW][C]10.2122489069995[/C][/ROW]
[ROW][C]34.2844818830984[/C][/ROW]
[ROW][C]-17.6952382797121[/C][/ROW]
[ROW][C]-41.567418407035[/C][/ROW]
[ROW][C]-30.5342905982939[/C][/ROW]
[ROW][C]-13.6886446391841[/C][/ROW]
[ROW][C]45.0073850510075[/C][/ROW]
[ROW][C]10.6072238234693[/C][/ROW]
[ROW][C]37.7837049156396[/C][/ROW]
[ROW][C]-24.2270549144156[/C][/ROW]
[ROW][C]-8.66491597432785[/C][/ROW]
[ROW][C]1.56670496758333[/C][/ROW]
[ROW][C]4.69437423389259[/C][/ROW]
[ROW][C]40.6459032378483[/C][/ROW]
[ROW][C]-35.822719640298[/C][/ROW]
[ROW][C]-14.4179091084217[/C][/ROW]
[ROW][C]-17.6118160593976[/C][/ROW]
[ROW][C]5.29407776417126[/C][/ROW]
[ROW][C]57.5689670685297[/C][/ROW]
[ROW][C]33.0452627610603[/C][/ROW]
[ROW][C]100.90745536152[/C][/ROW]
[ROW][C]58.6378727355779[/C][/ROW]
[ROW][C]29.8553364971637[/C][/ROW]
[ROW][C]22.7483122463651[/C][/ROW]
[ROW][C]-0.0208615653862098[/C][/ROW]
[ROW][C]55.6320179705152[/C][/ROW]
[ROW][C]-6.94868507239816[/C][/ROW]
[ROW][C]-22.3207533378475[/C][/ROW]
[ROW][C]-73.601179246201[/C][/ROW]
[ROW][C]-23.5693026537418[/C][/ROW]
[ROW][C]-0.0420882021667346[/C][/ROW]
[ROW][C]40.2537972896144[/C][/ROW]
[ROW][C]32.9859122879408[/C][/ROW]
[ROW][C]-11.1791199892917[/C][/ROW]
[ROW][C]-35.7622259541634[/C][/ROW]
[ROW][C]-40.5942831522767[/C][/ROW]
[ROW][C]-17.3565978835991[/C][/ROW]
[ROW][C]38.7503088349158[/C][/ROW]
[ROW][C]-27.6194796385694[/C][/ROW]
[ROW][C]-21.1403633794899[/C][/ROW]
[ROW][C]-36.3060306715591[/C][/ROW]
[ROW][C]8.25111057447377[/C][/ROW]
[ROW][C]35.734659816826[/C][/ROW]
[ROW][C]6.4353256493502[/C][/ROW]
[ROW][C]44.3489094404115[/C][/ROW]
[ROW][C]-32.6181384830482[/C][/ROW]
[ROW][C]44.4963999771848[/C][/ROW]
[ROW][C]-36.6472011621712[/C][/ROW]
[ROW][C]-12.4497949129337[/C][/ROW]
[ROW][C]60.2256701402524[/C][/ROW]
[ROW][C]-19.0469572318363[/C][/ROW]
[ROW][C]-5.60839183025759[/C][/ROW]
[ROW][C]-57.4226879517737[/C][/ROW]
[ROW][C]35.1358099493672[/C][/ROW]
[ROW][C]31.4587761608162[/C][/ROW]
[ROW][C]74.9891907109532[/C][/ROW]
[ROW][C]65.4246364769504[/C][/ROW]
[ROW][C]30.3004542607972[/C][/ROW]
[ROW][C]-7.84745073272175[/C][/ROW]
[ROW][C]-8.30445720313011[/C][/ROW]
[ROW][C]-3.9798851130882[/C][/ROW]
[ROW][C]63.8814575771785[/C][/ROW]
[ROW][C]-40.1280602686094[/C][/ROW]
[ROW][C]-34.8342986219901[/C][/ROW]
[ROW][C]-57.3539560553383[/C][/ROW]
[ROW][C]-10.9255640335868[/C][/ROW]
[ROW][C]-2.68663474049469[/C][/ROW]
[ROW][C]24.7060957030662[/C][/ROW]
[ROW][C]36.5885724761504[/C][/ROW]
[ROW][C]-33.1605601652453[/C][/ROW]
[ROW][C]-9.22927834976195[/C][/ROW]
[ROW][C]-16.4721848265453[/C][/ROW]
[ROW][C]17.7496899438851[/C][/ROW]
[ROW][C]6.76065208026216[/C][/ROW]
[ROW][C]-38.6841235745173[/C][/ROW]
[ROW][C]14.6871703483882[/C][/ROW]
[ROW][C]-47.8339360451761[/C][/ROW]
[ROW][C]-27.9395523924859[/C][/ROW]
[ROW][C]39.6100944427891[/C][/ROW]
[ROW][C]27.958458369271[/C][/ROW]
[ROW][C]66.5830298755682[/C][/ROW]
[ROW][C]3.72135529391909[/C][/ROW]
[ROW][C]-21.2697790528745[/C][/ROW]
[ROW][C]-19.4581815597893[/C][/ROW]
[ROW][C]11.6773425646361[/C][/ROW]
[ROW][C]53.2530727671757[/C][/ROW]
[ROW][C]-48.0961463925165[/C][/ROW]
[ROW][C]-23.4546760274113[/C][/ROW]
[ROW][C]-43.4324308144439[/C][/ROW]
[ROW][C]-4.98183481685973[/C][/ROW]
[ROW][C]38.0609408475339[/C][/ROW]
[ROW][C]7.92836949024416[/C][/ROW]
[ROW][C]54.2320661829685[/C][/ROW]
[ROW][C]-24.9063265395049[/C][/ROW]
[ROW][C]-1.10564018654323[/C][/ROW]
[ROW][C]-16.9671999073641[/C][/ROW]
[ROW][C]-18.7554640918991[/C][/ROW]
[ROW][C]73.9259534092603[/C][/ROW]
[ROW][C]-79.6821450122355[/C][/ROW]
[ROW][C]6.8537785907898[/C][/ROW]
[ROW][C]-54.6357640337714[/C][/ROW]
[ROW][C]5.4083245196717[/C][/ROW]
[ROW][C]-8.23205922849942[/C][/ROW]
[ROW][C]34.3817468754066[/C][/ROW]
[ROW][C]29.5923401021473[/C][/ROW]
[ROW][C]4.35599640065295[/C][/ROW]
[ROW][C]-36.1368178496713[/C][/ROW]
[ROW][C]9.17797035835814[/C][/ROW]
[ROW][C]-26.9730313003033[/C][/ROW]
[ROW][C]73.8037230426676[/C][/ROW]
[ROW][C]-70.452809894436[/C][/ROW]
[ROW][C]-1.90263248090317[/C][/ROW]
[ROW][C]-58.4316663529561[/C][/ROW]
[ROW][C]-7.43715978132497[/C][/ROW]
[ROW][C]5.43953056234499[/C][/ROW]
[ROW][C]8.3367150103227[/C][/ROW]
[ROW][C]22.1932226006127[/C][/ROW]
[ROW][C]-40.1728182986949[/C][/ROW]
[ROW][C]4.8018370027543[/C][/ROW]
[ROW][C]-7.8136256549169[/C][/ROW]
[ROW][C]8.75618820251726[/C][/ROW]
[ROW][C]51.7668101223151[/C][/ROW]
[ROW][C]-46.0839614068583[/C][/ROW]
[ROW][C]-5.75332415233752[/C][/ROW]
[ROW][C]-44.010396530341[/C][/ROW]
[ROW][C]-3.924523382771[/C][/ROW]
[ROW][C]5.26588057889939[/C][/ROW]
[ROW][C]24.8166909873333[/C][/ROW]
[ROW][C]27.5991602331611[/C][/ROW]
[ROW][C]-23.0653090331093[/C][/ROW]
[ROW][C]-5.8131969754846[/C][/ROW]
[ROW][C]-6.0423549204824[/C][/ROW]
[ROW][C]-17.0155073864105[/C][/ROW]
[ROW][C]92.8546513601721[/C][/ROW]
[ROW][C]-32.9853563161068[/C][/ROW]
[ROW][C]-12.7726320683495[/C][/ROW]
[ROW][C]-23.8083820056398[/C][/ROW]
[ROW][C]14.3440593272324[/C][/ROW]
[ROW][C]-3.83509896076848[/C][/ROW]
[ROW][C]-2.20211006781624[/C][/ROW]
[ROW][C]22.9008217341529[/C][/ROW]
[ROW][C]-5.78485452876235[/C][/ROW]
[ROW][C]-21.3651457335157[/C][/ROW]
[ROW][C]-25.7147708218192[/C][/ROW]
[ROW][C]-19.0820615807527[/C][/ROW]
[ROW][C]106.792565747689[/C][/ROW]
[ROW][C]-36.453053901185[/C][/ROW]
[ROW][C]-27.2684673908959[/C][/ROW]
[ROW][C]-34.7362515596583[/C][/ROW]
[ROW][C]-3.68954167946275[/C][/ROW]
[ROW][C]9.23618466290733[/C][/ROW]
[ROW][C]-1.65926455572803[/C][/ROW]
[ROW][C]30.9441435483516[/C][/ROW]
[ROW][C]-33.8422258526126[/C][/ROW]
[ROW][C]3.03289173462433[/C][/ROW]
[ROW][C]-1.15898144546924[/C][/ROW]
[ROW][C]-19.2283726819272[/C][/ROW]
[ROW][C]75.1383794014399[/C][/ROW]
[ROW][C]-9.9654949091202[/C][/ROW]
[ROW][C]-7.83702770223287[/C][/ROW]
[ROW][C]-7.87734529667658[/C][/ROW]
[ROW][C]-15.2994228799268[/C][/ROW]
[ROW][C]-1.96341188281787[/C][/ROW]
[ROW][C]9.43898719155064[/C][/ROW]
[ROW][C]72.0838776060879[/C][/ROW]
[ROW][C]-1.90505667036179[/C][/ROW]
[ROW][C]12.5505470498203[/C][/ROW]
[ROW][C]5.66117619109626[/C][/ROW]
[ROW][C]-1.13871465178613[/C][/ROW]
[ROW][C]104.370356813131[/C][/ROW]
[ROW][C]2.57579001127325[/C][/ROW]
[ROW][C]-0.78544339154057[/C][/ROW]
[ROW][C]-6.11413576630202[/C][/ROW]
[ROW][C]-0.936773765022123[/C][/ROW]
[ROW][C]51.1722628541877[/C][/ROW]
[ROW][C]25.6034007756113[/C][/ROW]
[ROW][C]75.648273267973[/C][/ROW]
[ROW][C]-34.6973908916322[/C][/ROW]
[ROW][C]10.2195137298779[/C][/ROW]
[ROW][C]-18.4841878881763[/C][/ROW]
[ROW][C]-10.8855763772888[/C][/ROW]
[ROW][C]74.1733331186918[/C][/ROW]
[ROW][C]-1.35848909607401[/C][/ROW]
[ROW][C]-6.45869271660725[/C][/ROW]
[ROW][C]-37.3148618362936[/C][/ROW]
[ROW][C]-30.0158535090323[/C][/ROW]
[ROW][C]40.2104108322034[/C][/ROW]
[ROW][C]11.6125619914086[/C][/ROW]
[ROW][C]65.0658329295034[/C][/ROW]
[ROW][C]-48.291086929222[/C][/ROW]
[ROW][C]12.3811129140797[/C][/ROW]
[ROW][C]-26.8423058546248[/C][/ROW]
[ROW][C]-16.3320042453507[/C][/ROW]
[ROW][C]70.6437612819805[/C][/ROW]
[ROW][C]-11.0435768256039[/C][/ROW]
[ROW][C]-12.0171715558186[/C][/ROW]
[ROW][C]-37.0535979061938[/C][/ROW]
[ROW][C]-22.4154288573814[/C][/ROW]
[ROW][C]-10.2135232215070[/C][/ROW]
[ROW][C]8.72223670055793[/C][/ROW]
[ROW][C]42.7357374916201[/C][/ROW]
[ROW][C]-25.2945605597388[/C][/ROW]
[ROW][C]-18.5584753079700[/C][/ROW]
[ROW][C]-7.20183932004707[/C][/ROW]
[ROW][C]-29.1160714591336[/C][/ROW]
[ROW][C]73.737129806159[/C][/ROW]
[ROW][C]-22.4524358694435[/C][/ROW]
[ROW][C]-8.05098551733854[/C][/ROW]
[ROW][C]-25.6150831694156[/C][/ROW]
[ROW][C]-45.9798873901229[/C][/ROW]
[ROW][C]38.0070685466039[/C][/ROW]
[ROW][C]20.8954464069369[/C][/ROW]
[ROW][C]87.3590284768338[/C][/ROW]
[ROW][C]-36.8433038018391[/C][/ROW]
[ROW][C]-6.00028478976395[/C][/ROW]
[ROW][C]-16.6828217950041[/C][/ROW]
[ROW][C]5.44520054551831[/C][/ROW]
[ROW][C]90.3490136325772[/C][/ROW]
[ROW][C]-2.75556800036073[/C][/ROW]
[ROW][C]-15.1188908141312[/C][/ROW]
[ROW][C]17.7559613696221[/C][/ROW]
[ROW][C]-16.4604846474355[/C][/ROW]
[ROW][C]82.8462211657965[/C][/ROW]
[ROW][C]64.1866081630914[/C][/ROW]
[ROW][C]212.141801606751[/C][/ROW]
[ROW][C]-27.5162871061304[/C][/ROW]
[ROW][C]59.0925851958034[/C][/ROW]
[ROW][C]-9.33494969992572[/C][/ROW]
[ROW][C]38.8452513534614[/C][/ROW]
[ROW][C]65.8918577392988[/C][/ROW]
[ROW][C]-3.48146105285567[/C][/ROW]
[ROW][C]-27.4368126741983[/C][/ROW]
[ROW][C]-32.2175370399562[/C][/ROW]
[ROW][C]-30.5667954444818[/C][/ROW]
[ROW][C]14.0696868915968[/C][/ROW]
[ROW][C]19.9566336806135[/C][/ROW]
[ROW][C]82.1444341841618[/C][/ROW]
[ROW][C]-52.5175605305678[/C][/ROW]
[ROW][C]-21.3237648151169[/C][/ROW]
[ROW][C]-28.2367619460549[/C][/ROW]
[ROW][C]-42.9761822181632[/C][/ROW]
[ROW][C]101.610245178895[/C][/ROW]
[ROW][C]-0.498610702839564[/C][/ROW]
[ROW][C]-0.079997811920639[/C][/ROW]
[ROW][C]-63.2860147148329[/C][/ROW]
[ROW][C]-7.55096938014204[/C][/ROW]
[ROW][C]42.8766809657915[/C][/ROW]
[ROW][C]26.9560965144466[/C][/ROW]
[ROW][C]61.0727678395122[/C][/ROW]
[ROW][C]-9.59667980466775[/C][/ROW]
[ROW][C]-23.8125051304427[/C][/ROW]
[ROW][C]-60.6272470502508[/C][/ROW]
[ROW][C]-30.6038087685784[/C][/ROW]
[ROW][C]104.704868679268[/C][/ROW]
[ROW][C]-48.3380132804681[/C][/ROW]
[ROW][C]-0.392843747144909[/C][/ROW]
[ROW][C]-62.6178787075433[/C][/ROW]
[ROW][C]-15.9593324342879[/C][/ROW]
[ROW][C]14.3216276827599[/C][/ROW]
[ROW][C]-8.43637649344316[/C][/ROW]
[ROW][C]77.2693447113406[/C][/ROW]
[ROW][C]-59.9668887155805[/C][/ROW]
[ROW][C]2.24656280965031[/C][/ROW]
[ROW][C]-55.0245021329475[/C][/ROW]
[ROW][C]-6.50577456560929[/C][/ROW]
[ROW][C]42.0329845100611[/C][/ROW]
[ROW][C]24.9639061093985[/C][/ROW]
[ROW][C]-32.3035835946257[/C][/ROW]
[ROW][C]-34.6340724681287[/C][/ROW]
[ROW][C]-48.0315549651446[/C][/ROW]
[ROW][C]38.9703539428678[/C][/ROW]
[ROW][C]33.97735328507[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30427&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30427&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
22.3785064886151
40.9449854923112
-11.7150027486239
-15.1713694101681
-34.3192405750359
34.6631751993281
-2.5700365450742
-8.71495255139827
-18.7197199380602
-41.5946118328445
24.9125431097621
20.5749333157631
82.5417586414395
24.2163691190038
4.62749597678372
8.01689679873285
48.6340273815247
44.6048966919696
47.1904304522605
-24.8049727845385
-21.3029805312793
10.6098774215995
-6.62922807089883
21.6474287757540
86.2790415614575
3.29898528994313
-43.0114634321702
-36.6161689135998
-18.3718895838211
14.0785736665574
-27.6732402552926
-62.0918336579236
-33.2510892460472
-58.2897623151476
29.6124227123327
8.06447856680947
13.0251813681365
-44.1704696147069
-6.48022140887149
-14.8070855083806
-18.8694003575766
13.7481110553071
-9.39236542249925
-13.5127333135030
-7.51532769208293
-21.5986126264778
23.8843735429063
-3.9112570521293
39.1765261980725
-14.3497658608138
-22.4525668259679
1.38906596524935
-4.05314648410401
10.5301203574855
-1.86267892641382
3.54638847751916
-33.3781238177425
-33.1588764220521
13.729165209263
12.6854375108193
41.3224691204883
-39.0774706357962
-6.41378169116752
12.4167535249528
-17.9665881769272
2.19484627195182
-4.9131714361086
-0.442253734708405
-9.48862555319863
-10.7572951419594
44.4928343529694
48.7413692719579
111.959525653481
31.3669828326349
26.1937586166492
13.7006006280804
6.56818582516025
7.83339381526781
7.55496087423243
-2.98425607582805
-20.5845053349657
-56.2156557555713
22.7603298222581
3.04413403914670
54.3507822178595
-31.2361549820276
-14.9995226910323
2.49482523392631
-40.7524743218049
13.7889640103591
-29.6563757301657
4.89673867539702
-50.1295209619479
-2.03264673170375
16.8444685392781
23.0443833767602
26.4444989540797
-1.87217851794234
9.23334114424557
-17.3603588798825
10.2122489069995
34.2844818830984
-17.6952382797121
-41.567418407035
-30.5342905982939
-13.6886446391841
45.0073850510075
10.6072238234693
37.7837049156396
-24.2270549144156
-8.66491597432785
1.56670496758333
4.69437423389259
40.6459032378483
-35.822719640298
-14.4179091084217
-17.6118160593976
5.29407776417126
57.5689670685297
33.0452627610603
100.90745536152
58.6378727355779
29.8553364971637
22.7483122463651
-0.0208615653862098
55.6320179705152
-6.94868507239816
-22.3207533378475
-73.601179246201
-23.5693026537418
-0.0420882021667346
40.2537972896144
32.9859122879408
-11.1791199892917
-35.7622259541634
-40.5942831522767
-17.3565978835991
38.7503088349158
-27.6194796385694
-21.1403633794899
-36.3060306715591
8.25111057447377
35.734659816826
6.4353256493502
44.3489094404115
-32.6181384830482
44.4963999771848
-36.6472011621712
-12.4497949129337
60.2256701402524
-19.0469572318363
-5.60839183025759
-57.4226879517737
35.1358099493672
31.4587761608162
74.9891907109532
65.4246364769504
30.3004542607972
-7.84745073272175
-8.30445720313011
-3.9798851130882
63.8814575771785
-40.1280602686094
-34.8342986219901
-57.3539560553383
-10.9255640335868
-2.68663474049469
24.7060957030662
36.5885724761504
-33.1605601652453
-9.22927834976195
-16.4721848265453
17.7496899438851
6.76065208026216
-38.6841235745173
14.6871703483882
-47.8339360451761
-27.9395523924859
39.6100944427891
27.958458369271
66.5830298755682
3.72135529391909
-21.2697790528745
-19.4581815597893
11.6773425646361
53.2530727671757
-48.0961463925165
-23.4546760274113
-43.4324308144439
-4.98183481685973
38.0609408475339
7.92836949024416
54.2320661829685
-24.9063265395049
-1.10564018654323
-16.9671999073641
-18.7554640918991
73.9259534092603
-79.6821450122355
6.8537785907898
-54.6357640337714
5.4083245196717
-8.23205922849942
34.3817468754066
29.5923401021473
4.35599640065295
-36.1368178496713
9.17797035835814
-26.9730313003033
73.8037230426676
-70.452809894436
-1.90263248090317
-58.4316663529561
-7.43715978132497
5.43953056234499
8.3367150103227
22.1932226006127
-40.1728182986949
4.8018370027543
-7.8136256549169
8.75618820251726
51.7668101223151
-46.0839614068583
-5.75332415233752
-44.010396530341
-3.924523382771
5.26588057889939
24.8166909873333
27.5991602331611
-23.0653090331093
-5.8131969754846
-6.0423549204824
-17.0155073864105
92.8546513601721
-32.9853563161068
-12.7726320683495
-23.8083820056398
14.3440593272324
-3.83509896076848
-2.20211006781624
22.9008217341529
-5.78485452876235
-21.3651457335157
-25.7147708218192
-19.0820615807527
106.792565747689
-36.453053901185
-27.2684673908959
-34.7362515596583
-3.68954167946275
9.23618466290733
-1.65926455572803
30.9441435483516
-33.8422258526126
3.03289173462433
-1.15898144546924
-19.2283726819272
75.1383794014399
-9.9654949091202
-7.83702770223287
-7.87734529667658
-15.2994228799268
-1.96341188281787
9.43898719155064
72.0838776060879
-1.90505667036179
12.5505470498203
5.66117619109626
-1.13871465178613
104.370356813131
2.57579001127325
-0.78544339154057
-6.11413576630202
-0.936773765022123
51.1722628541877
25.6034007756113
75.648273267973
-34.6973908916322
10.2195137298779
-18.4841878881763
-10.8855763772888
74.1733331186918
-1.35848909607401
-6.45869271660725
-37.3148618362936
-30.0158535090323
40.2104108322034
11.6125619914086
65.0658329295034
-48.291086929222
12.3811129140797
-26.8423058546248
-16.3320042453507
70.6437612819805
-11.0435768256039
-12.0171715558186
-37.0535979061938
-22.4154288573814
-10.2135232215070
8.72223670055793
42.7357374916201
-25.2945605597388
-18.5584753079700
-7.20183932004707
-29.1160714591336
73.737129806159
-22.4524358694435
-8.05098551733854
-25.6150831694156
-45.9798873901229
38.0070685466039
20.8954464069369
87.3590284768338
-36.8433038018391
-6.00028478976395
-16.6828217950041
5.44520054551831
90.3490136325772
-2.75556800036073
-15.1188908141312
17.7559613696221
-16.4604846474355
82.8462211657965
64.1866081630914
212.141801606751
-27.5162871061304
59.0925851958034
-9.33494969992572
38.8452513534614
65.8918577392988
-3.48146105285567
-27.4368126741983
-32.2175370399562
-30.5667954444818
14.0696868915968
19.9566336806135
82.1444341841618
-52.5175605305678
-21.3237648151169
-28.2367619460549
-42.9761822181632
101.610245178895
-0.498610702839564
-0.079997811920639
-63.2860147148329
-7.55096938014204
42.8766809657915
26.9560965144466
61.0727678395122
-9.59667980466775
-23.8125051304427
-60.6272470502508
-30.6038087685784
104.704868679268
-48.3380132804681
-0.392843747144909
-62.6178787075433
-15.9593324342879
14.3216276827599
-8.43637649344316
77.2693447113406
-59.9668887155805
2.24656280965031
-55.0245021329475
-6.50577456560929
42.0329845100611
24.9639061093985
-32.3035835946257
-34.6340724681287
-48.0315549651446
38.9703539428678
33.97735328507



Parameters (Session):
par1 = FALSE ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 4 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;
Parameters (R input):
par1 = FALSE ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 4 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; 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')