🕷️ Crawler Inspector

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Direct Parameter Lookup

Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 103 (from laksa044)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa103.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://www.iiste.org/Journals/index.php/MTM/article/view/24911\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.iiste.org/Journals/index.php/MTM/article/view/24911\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/article\/view\/24911","crawl_time":1775669877,"first_indexed_time":1534800818,"http_code":200,"src_unparsed":"org,iiste!www,\/Journals\/index.php\/MTM\/article\/view\/24911 s443","src_root_hash":"4066129748641735303","history_drop_reason":null,"meta_title":"A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation | Cavdar | Mathematical Theory and Modeling","meta_descriptions":["A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation"],"attrs_boilerpipe_text":"A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation\nAbstract\nIn this study, the consumer prices, real gross domestic product (GDP) and unemployment for Germany and Turkey between 2006 and 2011 are geometrically interpreted by using Lagrange interpolation and OLS method. The coefficients of linear regression models are obtained by matrix display of OLS method. The\nLagrange interpolation polynomial is considered in bivariate situation and we aim a different formulation. Thanks to the considered methods, it will be possible to have an idea about the unemployment rate status in Germany and Turkey. We use two different methods for the prediction of unemployment rates, which are developed by different equations in order to predict third variable by using two variables. Our main purpose is to determine whether an equation gives the correct guess rather than numerical expression. Besides, we have tried to state geometric display to data.\nKeywords:\nLagrange interpolation, ordinary least square (OLS),\nregression, geometrical display, matrix display\nFull Text:\nPDF\nTo list your conference here. Please contact the administrator of this platform.\nPaper submission email: MTM@iiste.org\nISSN (Paper)2224-5804 ISSN (Online)2225-0522\nPlease add our address \"contact@iiste.org\" into your email contact list.\nThis journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License.\nCopyright © www.iiste.org","attrs_markdown":"![logo](https:\/\/www.iiste.org\/Journals\/images\/logo.jpg)\n\nsite description\n\n- [Home](http:\/\/iiste.org\/)\n- [Journals](https:\/\/www.iiste.org\/journals)\n- [Conferences](https:\/\/www.iiste.org\/conference\/)\n- [Books](https:\/\/www.iiste.org\/book\/)\n- [About us](https:\/\/www.iiste.org\/home-international-institute-for-science-technology-and-education-iiste\/about-iiste\/)\n# ![Page Header Logo](https:\/\/www.iiste.org\/Journals\/public\/journals\/22\/pageHeaderLogoImage_en_US.jpg) Mathematical Theory and Modeling\n- [Home](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/index)\n- [Search](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/search)\n- [Current Issue](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/issue\/current)\n- [Back Issues](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/issue\/archive)\n- [Announcements](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/announcement)\n- [Full List of Journals](https:\/\/www.iiste.org\/journals)\n- [Migrate a Journal](https:\/\/www.iiste.org\/journals\/migrate-a-journal-or-start-a-new-one-with-iiste\/)\n- [Special Issue Service](https:\/\/www.iiste.org\/journals\/start-a-special-issue-with-iiste-journals\/)\n- [Conference Publishing](https:\/\/www.iiste.org\/conference\/publish-a-proceeding-special-issue-with-iiste\/)\n- [Editorial Board](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/pages\/view\/EditorialBoard)\n- [OPEN ACCESS Policy](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/pages\/view\/OAP)\n\nFont Size\n\nJournal Content Search\n\nBrowse\n\n- [By Issue](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/issue\/archive)\n- [By Author](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/search\/authors)\n- [By Title](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/search\/titles)\n- [Other Journals](https:\/\/www.iiste.org\/Journals\/index.php\/index)\n\n[Home](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/index) \\> [Vol 5, No 9 (2015)](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/issue\/view\/1936) \\> [Cavdar](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/article\/view\/24911\/0)\n\n### A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation\n*Seyma Caliskan Cavdar, Alev Dilek Aydin, Mehmet Fatih Karaaslan*\n\n#### Abstract\nIn this study, the consumer prices, real gross domestic product (GDP) and unemployment for Germany and Turkey between 2006 and 2011 are geometrically interpreted by using Lagrange interpolation and OLS method. The coefficients of linear regression models are obtained by matrix display of OLS method. TheLagrange interpolation polynomial is considered in bivariate situation and we aim a different formulation. Thanks to the considered methods, it will be possible to have an idea about the unemployment rate status in Germany and Turkey. We use two different methods for the prediction of unemployment rates, which are developed by different equations in order to predict third variable by using two variables. Our main purpose is to determine whether an equation gives the correct guess rather than numerical expression. Besides, we have tried to state geometric display to data.\n\n**Keywords:** Lagrange interpolation, ordinary least square (OLS),regression, geometrical display, matrix display\n\nFull Text: [PDF](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/article\/view\/24911\/25514)   \n  [![Download the IISTE publication guideline\\!](https:\/\/www.iiste.org\/sub\/iiste_footer_journal.jpg)](https:\/\/www.iiste.org\/sub\/PaperSubmissionGuide.doc)\n\n[To list your conference here. Please contact the administrator of this platform.](mailto:advertise@iiste.org)\n\n**Paper submission email: MTM@iiste.org**\n\nISSN (Paper)2224-5804 ISSN (Online)2225-0522\n\nPlease add our address \"contact@iiste.org\" into your email contact list.\n\nThis journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License.\n\nCopyright © www.iiste.org","attrs_readable_markdown":"A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation\n\n#### Abstract\nIn this study, the consumer prices, real gross domestic product (GDP) and unemployment for Germany and Turkey between 2006 and 2011 are geometrically interpreted by using Lagrange interpolation and OLS method. The coefficients of linear regression models are obtained by matrix display of OLS method. TheLagrange interpolation polynomial is considered in bivariate situation and we aim a different formulation. Thanks to the considered methods, it will be possible to have an idea about the unemployment rate status in Germany and Turkey. We use two different methods for the prediction of unemployment rates, which are developed by different equations in order to predict third variable by using two variables. Our main purpose is to determine whether an equation gives the correct guess rather than numerical expression. Besides, we have tried to state geometric display to data.\n\n**Keywords:** Lagrange interpolation, ordinary least square (OLS),regression, geometrical display, matrix display\n\nFull Text: [PDF](https:\/\/www.iiste.org\/Journals\/index.php\/MTM\/article\/view\/24911\/25514)   \n  [![Download the IISTE publication guideline\\!](https:\/\/www.iiste.org\/sub\/iiste_footer_journal.jpg)](https:\/\/www.iiste.org\/sub\/PaperSubmissionGuide.doc)    \n     \n [To list your conference here. Please contact the administrator of this platform.](mailto:advertise@iiste.org)\n\n**Paper submission email: MTM@iiste.org**\n\nISSN (Paper)2224-5804 ISSN (Online)2225-0522\n\nPlease add our address \"contact@iiste.org\" into your email contact list.\n\nThis journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License.\n\nCopyright © www.iiste.org","meta_canonical":null}

3. Robots.txt Check

Query:

Response:

4. Spam/Ban Check

Query:

Response:

5. Seen Status Check

ℹ️ Skipped - page is already crawled

📄

INDEXABLE

✅

CRAWLED

9 hours ago

🤖

ROBOTS ALLOWED

Page Info Filters

Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	0 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
Canonical	PASS	`meta_canonical IS NULL OR = '' OR = src_unparsed`	Not set

Page Details

Property	Value
URL	https://www.iiste.org/Journals/index.php/MTM/article/view/24911
Last Crawled	2026-04-08 17:37:57 (9 hours ago)
First Indexed	2018-08-20 21:33:38 (7 years ago)
HTTP Status Code	200
Meta Title	A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation \| Cavdar \| Mathematical Theory and Modeling
Meta Description	A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation
Meta Canonical	null
Boilerpipe Text	A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation Abstract In this study, the consumer prices, real gross domestic product (GDP) and unemployment for Germany and Turkey between 2006 and 2011 are geometrically interpreted by using Lagrange interpolation and OLS method. The coefficients of linear regression models are obtained by matrix display of OLS method. The Lagrange interpolation polynomial is considered in bivariate situation and we aim a different formulation. Thanks to the considered methods, it will be possible to have an idea about the unemployment rate status in Germany and Turkey. We use two different methods for the prediction of unemployment rates, which are developed by different equations in order to predict third variable by using two variables. Our main purpose is to determine whether an equation gives the correct guess rather than numerical expression. Besides, we have tried to state geometric display to data. Keywords: Lagrange interpolation, ordinary least square (OLS), regression, geometrical display, matrix display Full Text: PDF To list your conference here. Please contact the administrator of this platform. Paper submission email: MTM@iiste.org ISSN (Paper)2224-5804 ISSN (Online)2225-0522 Please add our address "contact@iiste.org" into your email contact list. This journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License. Copyright © www.iiste.org
Markdown	![logo](https://www.iiste.org/Journals/images/logo.jpg) site description - [Home](http://iiste.org/) - [Journals](https://www.iiste.org/journals) - [Conferences](https://www.iiste.org/conference/) - [Books](https://www.iiste.org/book/) - [About us](https://www.iiste.org/home-international-institute-for-science-technology-and-education-iiste/about-iiste/) # ![Page Header Logo](https://www.iiste.org/Journals/public/journals/22/pageHeaderLogoImage_en_US.jpg) Mathematical Theory and Modeling - [Home](https://www.iiste.org/Journals/index.php/MTM/index) - [Search](https://www.iiste.org/Journals/index.php/MTM/search) - [Current Issue](https://www.iiste.org/Journals/index.php/MTM/issue/current) - [Back Issues](https://www.iiste.org/Journals/index.php/MTM/issue/archive) - [Announcements](https://www.iiste.org/Journals/index.php/MTM/announcement) - [Full List of Journals](https://www.iiste.org/journals) - [Migrate a Journal](https://www.iiste.org/journals/migrate-a-journal-or-start-a-new-one-with-iiste/) - [Special Issue Service](https://www.iiste.org/journals/start-a-special-issue-with-iiste-journals/) - [Conference Publishing](https://www.iiste.org/conference/publish-a-proceeding-special-issue-with-iiste/) - [Editorial Board](https://www.iiste.org/Journals/index.php/MTM/pages/view/EditorialBoard) - [OPEN ACCESS Policy](https://www.iiste.org/Journals/index.php/MTM/pages/view/OAP) Font Size Journal Content Search Browse - [By Issue](https://www.iiste.org/Journals/index.php/MTM/issue/archive) - [By Author](https://www.iiste.org/Journals/index.php/MTM/search/authors) - [By Title](https://www.iiste.org/Journals/index.php/MTM/search/titles) - [Other Journals](https://www.iiste.org/Journals/index.php/index) [Home](https://www.iiste.org/Journals/index.php/MTM/index) \> [Vol 5, No 9 (2015)](https://www.iiste.org/Journals/index.php/MTM/issue/view/1936) \> [Cavdar](https://www.iiste.org/Journals/index.php/MTM/article/view/24911/0) ### A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation Seyma Caliskan Cavdar, Alev Dilek Aydin, Mehmet Fatih Karaaslan #### Abstract In this study, the consumer prices, real gross domestic product (GDP) and unemployment for Germany and Turkey between 2006 and 2011 are geometrically interpreted by using Lagrange interpolation and OLS method. The coefficients of linear regression models are obtained by matrix display of OLS method. TheLagrange interpolation polynomial is considered in bivariate situation and we aim a different formulation. Thanks to the considered methods, it will be possible to have an idea about the unemployment rate status in Germany and Turkey. We use two different methods for the prediction of unemployment rates, which are developed by different equations in order to predict third variable by using two variables. Our main purpose is to determine whether an equation gives the correct guess rather than numerical expression. Besides, we have tried to state geometric display to data. Keywords: Lagrange interpolation, ordinary least square (OLS),regression, geometrical display, matrix display Full Text: [PDF](https://www.iiste.org/Journals/index.php/MTM/article/view/24911/25514) [![Download the IISTE publication guideline\!](https://www.iiste.org/sub/iiste_footer_journal.jpg)](https://www.iiste.org/sub/PaperSubmissionGuide.doc) [To list your conference here. Please contact the administrator of this platform.](mailto:advertise@iiste.org) Paper submission email: MTM@iiste.org ISSN (Paper)2224-5804 ISSN (Online)2225-0522 Please add our address "contact@iiste.org" into your email contact list. This journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License. Copyright © www.iiste.org
Readable Markdown	A Geometric Interpretation and Comparison of the Methods Of Ordinary Least Square (OLS) and Bivariate Lagrange Interpolation #### Abstract In this study, the consumer prices, real gross domestic product (GDP) and unemployment for Germany and Turkey between 2006 and 2011 are geometrically interpreted by using Lagrange interpolation and OLS method. The coefficients of linear regression models are obtained by matrix display of OLS method. TheLagrange interpolation polynomial is considered in bivariate situation and we aim a different formulation. Thanks to the considered methods, it will be possible to have an idea about the unemployment rate status in Germany and Turkey. We use two different methods for the prediction of unemployment rates, which are developed by different equations in order to predict third variable by using two variables. Our main purpose is to determine whether an equation gives the correct guess rather than numerical expression. Besides, we have tried to state geometric display to data. Keywords: Lagrange interpolation, ordinary least square (OLS),regression, geometrical display, matrix display Full Text: [PDF](https://www.iiste.org/Journals/index.php/MTM/article/view/24911/25514) [![Download the IISTE publication guideline\!](https://www.iiste.org/sub/iiste_footer_journal.jpg)](https://www.iiste.org/sub/PaperSubmissionGuide.doc) [To list your conference here. Please contact the administrator of this platform.](mailto:advertise@iiste.org) Paper submission email: MTM@iiste.org ISSN (Paper)2224-5804 ISSN (Online)2225-0522 Please add our address "contact@iiste.org" into your email contact list. This journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License. Copyright © www.iiste.org
Shard	103 (laksa)
Root Hash	4066129748641735303
Unparsed URL	org,iiste!www,/Journals/index.php/MTM/article/view/24911 s443