{"id":"https://openalex.org/W2025462288","doi":"https://doi.org/10.1016/0097-8485(89)85006-5","title":"Simple methods for computing the least squares line in three dimensions","display_name":"Simple methods for computing the least squares line in three dimensions","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W2025462288","doi":"https://doi.org/10.1016/0097-8485(89)85006-5","mag":"2025462288"},"language":"en","primary_location":{"id":"doi:10.1016/0097-8485(89)85006-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8485(89)85006-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210194753","display_name":"Computers & Chemistry","issn_l":"0097-8485","issn":["0097-8485","1879-0763"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Chemistry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079008747","display_name":"Peter C. Kahn","orcid":"https://orcid.org/0000-0002-0239-9137"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter C. Kahn","raw_affiliation_strings":["Department of Biochemistry and Microbiology, 328 Lipman Hall, Rutgers University, New Brunswick, NJ 08903, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Biochemistry and Microbiology, 328 Lipman Hall, Rutgers University, New Brunswick, NJ 08903, U.S.A","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079008747"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":0.3389,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.57079044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"3","first_page":"191","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.677398145198822},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.623522162437439},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.619011402130127},{"id":"https://openalex.org/keywords/isosceles-triangle","display_name":"Isosceles triangle","score":0.6126761436462402},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5771079063415527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5708239078521729},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.5664539933204651},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5656296014785767},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.5306540727615356},{"id":"https://openalex.org/keywords/linear-least-squares","display_name":"Linear least squares","score":0.4535341262817383},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4342323839664459},{"id":"https://openalex.org/keywords/perpendicular","display_name":"Perpendicular","score":0.41808706521987915},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.4130079746246338},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40247583389282227},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33406543731689453},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2972966134548187},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1205081045627594},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.07747143507003784}],"concepts":[{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.677398145198822},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.623522162437439},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.619011402130127},{"id":"https://openalex.org/C98653994","wikidata":"https://www.wikidata.org/wiki/Q875937","display_name":"Isosceles triangle","level":2,"score":0.6126761436462402},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5771079063415527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5708239078521729},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.5664539933204651},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5656296014785767},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.5306540727615356},{"id":"https://openalex.org/C58663186","wikidata":"https://www.wikidata.org/wiki/Q6553462","display_name":"Linear least squares","level":3,"score":0.4535341262817383},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4342323839664459},{"id":"https://openalex.org/C199631012","wikidata":"https://www.wikidata.org/wiki/Q205034","display_name":"Perpendicular","level":2,"score":0.41808706521987915},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.4130079746246338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40247583389282227},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33406543731689453},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2972966134548187},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1205081045627594},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.07747143507003784},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-8485(89)85006-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-8485(89)85006-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210194753","display_name":"Computers & Chemistry","issn_l":"0097-8485","issn":["0097-8485","1879-0763"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320146","host_organization_name":"Pergamon Press","host_organization_lineage":["https://openalex.org/P4310320146"],"host_organization_lineage_names":["Pergamon Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Chemistry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1971513400","https://openalex.org/W1999473806","https://openalex.org/W2010281453"],"related_works":["https://openalex.org/W2145045474","https://openalex.org/W2058869626","https://openalex.org/W1965270833","https://openalex.org/W2083446492","https://openalex.org/W4247598732","https://openalex.org/W2004796805","https://openalex.org/W2387406429","https://openalex.org/W2293418523","https://openalex.org/W2014221594","https://openalex.org/W200101083"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}