{"id":{"repo_id":"ttu","oai_identifier":"oai:ttu-ir.tdl.org:2346/106850"},"canonical_url":"https://search.dev.ndltd.org/etd/ttu/oai:ttu-ir.tdl.org:2346/106850","repository":{"repo_id":"ttu","name":"Texas Technology University","base_url":"https://ttu-ir.tdl.org/server/oai/request"},"display":{"title":"A Geometric Approach to Least Squares","abstract":"A routine problem is to best fit a line to planar data. The goal of this thesis is to view linear regression in a geometric light. Lines in the plane can be identified with points on the cylinder, and fitting a line to a data set can be defined by mapping from that cylinder to R. The best-fit line would then be the minimum point for that function. The two new objectives achieved in this thesis are discovering an algorithm to compute the convex hull and outlining how lines are mapped onto the cylinder.","abstract_html":"A routine problem is to best fit a line to planar data. The goal of this thesis is to view linear regression in a geometric light. Lines in the plane can be identified with points on the cylinder, and fitting a line to a data set can be defined by mapping from that cylinder to R. The best-fit line would then be the minimum point for that function. The two new objectives achieved in this thesis are discovering an algorithm to compute the convex hull and outlining how lines are mapped onto the cylinder.","abstract_has_math":false,"creators":["Ellis, Penelope M."],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-08","date_published":"2010-08","updated_at":"2026-07-24T05:04:53Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2346/106850","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ellis, Penelope M."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2026-03-30T23:35:42Z"]},{"key":"dc:date.issued","label":"Date","values":["2010-08"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/2346/106850"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A routine problem is to best fit a line to planar data. The goal of this thesis is to view linear regression in a geometric light. Lines in the plane can be identified with points on the cylinder, and fitting a line to a data set can be defined by mapping from that cylinder to R. The best-fit line would then be the minimum point for that function. The two new objectives achieved in this thesis are discovering an algorithm to compute the convex hull and outlining how lines are mapped onto the cylinder."]},{"key":"dc:title","label":"Title","values":["A Geometric Approach to Least Squares"]}]}],"canonical_facts":{"dc:creator":["Ellis, Penelope M."],"dc:date.accessioned":["2026-03-30T23:35:42Z"],"dc:date.issued":["2010-08"],"dc:description.abstract":["A routine problem is to best fit a line to planar data. The goal of this thesis is to view linear regression in a geometric light. Lines in the plane can be identified with points on the cylinder, and fitting a line to a data set can be defined by mapping from that cylinder to R. The best-fit line would then be the minimum point for that function. The two new objectives achieved in this thesis are discovering an algorithm to compute the convex hull and outlining how lines are mapped onto the cylinder."],"dc:identifier.uri":["https://hdl.handle.net/2346/106850"],"dc:language.iso":["en"],"dc:title":["A Geometric Approach to Least Squares"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T05:04:53Z"}