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File:Random-data-plus-trend-r2.png

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La bildo estas kopiita de wikipedia:en. La originala priskribo estas: '''Image of random data plus trend, with best-fit line and different smoothings''' {{GFDL}} The data is 1000 points, with a trend of 1-in-100, with random normal noise of SD 10
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Ignoring autocorrelation, a confidence limit for the slope of the fit line is for the raw data (which include 0.01, as it should). For the 10-pt-filtered the limits are slightly narrower at and for the 100pt-filtering the limits are again slightly narrower.
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The data is 1000 points (plotted in black), with an increasing trend of 1-in-100, with random normal noise of standard deviation 10 superimposed. The red-line is the same data but averaged every 10 points. The blue line is averaged every 100 points.
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The time series are, of course, very closely related: the same except for the filtering. This shows that a low r value should
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For the three series, the least squares fit line is virtually the same, with a slope of 0.01, as expected.
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for the raw data, the simple trend line explains almost none of the variance of the time series (only 8%).
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Permission is granted to copy, distribute and/or modify this document under the terms of the
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The r fit for the raw data is 0.08; for the 10-pt-filtered, 0.57; for 100-pt-filtered, 0.97.
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nonetheless, the trend lines are almost identical as are the confidence levels.
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for the 100-pt filtering, the trend line explains almost all of the data (97%).
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Learning patterns/Evaluation of data affected by seasonal or calendar effects
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Image of random data plus trend, with best-fit line and different smoothings
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Click on a date/time to view the file as it appeared at that time.
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This licensing tag was added to this file as part of the GFDL
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User:William M. Connolley/My Images/Computer-generated images
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Add a one-line explanation of what this file represents
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GNU Free Documentation License, version 1.2 or later
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Creative Commons Attribution-ShareAlike 3.0 Unported
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GNU Free Documentation License, version 1.2 or later
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Creative Commons Attribution-ShareAlike 3.0 Unported
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Commons is a freely licensed media file repository.
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All following user names refer to en.wikipedia. 633:(I bumped up the SD to make the point obvious.) 51:(601 × 447 pixels, file size: 9 KB, MIME type: 533:http://creativecommons.org/licenses/by-sa/3.0/ 66: 446: 137:be interpreted as evidence of lack of trend. 539:Creative Commons Attribution-Share Alike 3.0 14: 489:– to copy, distribute and transmit the work 554: 922:The following other wikis use this file: 897:The following 3 pages use this file: 97: 468:Attribution-Share Alike 3.0 Unported 441: 423:http://www.gnu.org/copyleft/fdl.html 827: 457: 452: 13: 697: 691: 565:The original description page was 564: 98: 44: 1233: 696: 682: 500:Under the following conditions: 463:This file is licensed under the 456: 451: 445: 399: 398: 65: 31: 21: 956:Usage on cbk-zam.wikipedia.org 679: 41:No higher resolution available. 1216:Usage on zh-yue.wikipedia.org 917: 831: 678: 429:GNU Free Documentation License 418:GNU Free Documentation License 408:GNU Free Documentation License 140: 26: 1: 47:Random-data-plus-trend-r2.png 1056:Usage on meta.wikimedia.org 892: 704:Items portrayed in this file 668:en:User:William M. 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File:Random-data-plus-trend-r2.png
Random-data-plus-trend-r2.png
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