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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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The following pages on the English Knowledge (XXG) use this file (pages on other projects are not listed):
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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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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: 554: 533:http://creativecommons.org/licenses/by-sa/3.0/ 66: 446: 137:be interpreted as evidence of lack of trend. 8: 539:Creative Commons Attribution-Share Alike 3.0 489:– to copy, distribute and transmit the work 818: 688: 902:The following other wikis use this file: 879: 792: 775: 759: 739: 723: 706: 703: 684: 677: 7: 468:Attribution-Share Alike 3.0 Unported 423:http://www.gnu.org/copyleft/fdl.html 807: 457: 452: 697: 691: 565:The original description page was 564: 98: 44: 696: 682: 500:Under the following conditions: 463:This file is licensed under the 456: 451: 445: 399: 398: 65: 31: 21: 936:Usage on cbk-zam.wikipedia.org 679: 41:No higher resolution available. 14: 1196:Usage on zh-yue.wikipedia.org 678: 429:GNU Free Documentation License 418:GNU Free Documentation License 408:GNU Free Documentation License 26: 1: 47:Random-data-plus-trend-r2.png 1036:Usage on meta.wikimedia.org 704:Items portrayed in this file 668:en:User:William M. Connolley 655:en:User:William M. Connolley 642:en:User:William M. Connolley 629:en:User:William M. Connolley 616:en:User:William M. Connolley 119:So what does that all mean? 1050:Анализа на временските низи 659:(...partial before reload) 571: 1218: 1186:Usage on vi.wikipedia.org 1176:Usage on ur.wikipedia.org 1161:Usage on uk.wikipedia.org 1151:Usage on tr.wikipedia.org 1141:Usage on tl.wikipedia.org 1131:Usage on sv.wikipedia.org 1121:Usage on su.wikipedia.org 1111:Usage on sq.wikipedia.org 1096:Usage on ru.wikipedia.org 1086:Usage on pl.wikipedia.org 1076:Usage on nn.wikipedia.org 1066:Usage on nl.wikipedia.org 1056:Usage on ml.wikipedia.org 1046:Usage on mk.wikipedia.org 1026:Usage on lt.wikipedia.org 1016:Usage on ko.wikipedia.org 1006:Usage on jv.wikipedia.org 991:Usage on ja.wikipedia.org 976:Usage on id.wikipedia.org 966:Usage on ga.wikipedia.org 956:Usage on el.wikipedia.org 946:Usage on de.wikipedia.org 926:Usage on ca.wikipedia.org 916:Usage on bg.wikipedia.org 906:Usage on ar.wikipedia.org 514:same or compatible license 1000:Interactive Data Language 808: 472: 444: 16: 681: 413:Free Software Foundation 306:,reg_explain(ret1) data2 159: 72:This is a file from the 882:Linear trend estimation 865: 586:21:25, 20 December 2004 272:,reg_explain(ret) data1 76:. Information from its 1060:ഡിമാൻഡ് ഫോർകാസ്റ്റിംഗ് 348:pp_regress_plot,ret,th 79:description page there 664:13:32, 12 August 2004 651:13:50, 12 August 2004 638:14:00, 12 August 2004 625:14:05, 12 August 2004 612:21:17, 14 August 2004 599:22:13, 14 August 2004 336:pp_regress(y2,data2) 302:pp_regress(y1,data1) 844:19:19, 20 March 2006 960:Χρονολογικές Σειρές 495:– to adapt the work 340:,reg_explain(ret2) 268:pp_regress(y,data) 1080:Tidsrekkjeanalyse 950:Zeitreihenanalyse 898:Global file usage 870: 762:copyright license 690: 676: 675: 552:Transferred from 550: 549: 440: 439: 94: 93: 74:Wikimedia Commons 32:Global file usage 1209: 1145:Serye ng panahon 1125:Trend estimation 1070:Tijdreeksanalyse 856: 726:copyright status 572: 557: 546: 543: 540: 537: 534: 531: 528:licensing update 516:as the original. 465:Creative Commons 460: 459: 455: 454: 449: 448: 442: 436: 433: 430: 427: 424: 402: 401: 395: 388: 385: 381: 378: 374: 371: 368: 364: 361: 357: 354: 351: 347: 343: 339: 335: 331: 327: 323: 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33: 30: 28: 25: 23: 20: 18: 15: 1155:Zaman serisi 1100:Эконометрика 1010:Dhèrèt wektu 901: 815: 812:File history 620:(Add code.) 555:en.wikipedia 551: 536:CC BY-SA 3.0 509: 503: 492: 486: 416: 406: 391: 144: 134: 132: 118: 114: 111: 108: 104: 100: 99: 87:You can help 77: 45: 22:File history 1170:Економетрія 1165:Часовий ряд 980:Deret waktu 920:Времеви ред 887:Time series 742:copyrighted 646:(Comments) 510:share alike 504:attribution 157:not given. 155:reg_explain 141:Source code 1180:سلسلہ زماں 873:File usage 853:601 × 447 829:Dimensions 344:,y,data,yr 328:avg(data2, 294:avg(data1, 151:pp_regress 145:Source in 27:File usage 1200:概率同統計學詞彙表 1135:Tidsserie 826:Thumbnail 823:Date/Time 594:(tagged) 575:date/time 470:license. 53:image/png 685:Captions 578:username 493:to remix 487:to share 181:(seed,n) 840:current 835:Comment 709:depicts 689:English 324:) data2 290:) data1 179:randomn 49:‎ 861:Maksim 855:(9 KB) 607:(fmt) 560:Maksim 332:) ret2 313:(data, 311:reform 298:) ret1 279:(data, 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File:Random-data-plus-trend-r2.png
Random-data-plus-trend-r2.png
Wikimedia Commons
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Free Software Foundation
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same or compatible license
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en.wikipedia
Maksim
here
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en:User:Danakil
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en:User:William M. Connolley
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en:User:William M. Connolley
en:User:William M. Connolley
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