ERIC Number: EJ1361226
Record Type: Journal
Publication Date: 2021-Dec
Pages: 10
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0196-5042
EISSN: N/A
Available Date: N/A
Two Regression Lines Suffice to Determine "r[superscript 2]" and "r"
Sarkar, Jyotirmoy; Rashid, Mamunur
Educational Research Quarterly, v45 n2 p21-30 Dec 2021
The Pearson correlation coefficient can be recovered from the two least squares regression lines y[with circumflex] = b[subscript 0] + b[subscript 1]x and x[with circumflex] = a[subscript 0] + a[subscript 1]y without any data. This can be done both algebraically and geometrically. This can be done without data even when the scales of the variables are different. The authors conclude with ways to use such information during instruction to help scaffold student understanding, number sense and problem-solving skills.
Descriptors: Correlation, Regression (Statistics), Least Squares Statistics, Information Utilization, Introductory Courses, Statistics Education, Scaffolding (Teaching Technique), Problem Solving, Algebra, Geometry, Equations (Mathematics)
Behavioral Research Press. Grambling State University, Math Department, P.O. Box 1191, Grambling, LA 71245. Tel: 318-274-2425; Web site: http://erquarterly.org/
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A