Two Regression Lines Suffice to Determine "r[superscript 2]" and "r"

Autor/inn/en	Sarkar, Jyotirmoy; Rashid, Mamunur
Titel	Two Regression Lines Suffice to Determine "r[superscript 2]" and "r"
Quelle	In: Educational Research Quarterly, 45 (2021) 2, S.21-30 (10 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0196-5042
Schlagwörter	Correlation; Regression (Statistics); Least Squares Statistics; Information Utilization; Introductory Courses; Statistics Education; Scaffolding (Teaching Technique); Problem Solving; Algebra; Geometry; Equations (Mathematics) + Suchen Sie Ihr Suchwort? Korrelation; Regression; Regressionsanalyse; Informationsnutzung; Einführungskurs; Problemlösen; Geometrie; Equations; Mathematics; Gleichungslehre
Abstract	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. (As Provided).
Anmerkungen	Behavioral Research Press. Grambling State University, Math Department, P.O. Box 1191, Grambling, LA 71245. Tel: 318-274-2425; Web site: http://erquarterly.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01