The "Calculus" of Moving Averages

Autor/inn/en	Gordon, Sheldon P.; Gordon, Florence S.
Titel	The "Calculus" of Moving Averages
Quelle	In: PRIMUS, 33 (2023) 6, S.622-636 (15 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2022.2120583
Schlagwörter	College Mathematics; Introductory Courses; Statistics Education; Algebra; Calculus; Problem Solving; Computation; Equations (Mathematics); Data; Mathematical Models; Mathematical Concepts + Suchen Sie Ihr Suchwort? Einführungskurs; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Problemlösen; Equations; Mathematics; Gleichungslehre; Daten; Mathematical model; Mathematisches Modell
Abstract	This article makes a case for introducing moving averages into introductory statistics courses and contemporary modeling/data-based courses in college algebra and precalculus. The authors examine a variety of aspects of moving averages and draw parallels between them and similar topics in calculus, differential equations, and linear algebra. The article: (1) shows how to calculate the moving averages for a set of data; (2) discusses the effect of the length of the moving average cycle on the sequence of values generated; (3) discusses the mathematical properties of the moving average as a mathematical function/operator; (4) addresses the problem of how to retrieve the underlying sequence of data values from the known sequence of values of the moving averages; and (5) discusses the significance of the moving averages in the sense of smoothing out the original data to better identify the pattern in that data. (As Provided).
Anmerkungen	Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01