The benefits of teaching inverse regression alongside Least Squares Regression: Deeper comparisons for undergraduate research
Keywords:
Regression, Inverse Regression, Least Squares, Temperature Data, UndergraduatesAbstract
This article is a continuation of the authors’ previously published article, later referred as “Part I”, and entitled, “The benefits of teaching inverse regression alongside Least Squares Regression: Graphical and numerical comparisons”. In Part I of this companion series, a foundational exposition comparing Inverse Regression and Least Squares Regression was undertaken using temperature data for thirty-two American cities. Deeper relationships are explored in this article (Part II of this series). The goal is to contrast the estimates provided by both regression methods using a collection of corollaries that are accessible to undergraduate mathematics and science students who have studied Least Squares Regression. Collectively, these two articles demonstrate how to purposely enhance a general discussion of Least Squares Regression.
Published
How to Cite
Issue
Section
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
This open-access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license.
You are free to: Share — copy and redistribute the material in any medium or format.
Adapt — remix, transform, and build upon the material for any purpose, even commercially. The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms: Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
No additional restrictions: You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.