FINDING LEAST SQUARES LINES WITH MATHEMATICA

FINDING LEAST SQUARES LINES WITH MATHEMATICA

A detailed study of least squares lines reveals that there are several cases to consider. There are three "close fitting lines", they minimize of the sum of the squares of the vertical distances, horizontal distances, and orthogonal distances, respectively. Students are interested in explo...

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Veröffentlicht in:PRIMUS : problems, resources, and issues in mathematics undergraduate studies resources, and issues in mathematics undergraduate studies, 1991-01, Vol.1 (1), p.103-111
1. Verfasser: Mathews, John H.
Format: Artikel
Sprache:eng
Schlagworte:
College Mathematics
Computer Assisted Instruction
Educational Technology
Higher Education
Instructional Techniques
Least squares lines
line of regression
Mathematica
Mathematica Computer Program
Mathematical Formulas
Mathematics Education
Mathematics Instruction
Numerical Analysis
orthogonal line of regression
Postsecondary Education
Problem Solving
Teaching Methods
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Beschreibung
Zusammenfassung:A detailed study of least squares lines reveals that there are several cases to consider. There are three "close fitting lines", they minimize of the sum of the squares of the vertical distances, horizontal distances, and orthogonal distances, respectively. Students are interested in exploring these three cases as a computer laboratory exercise. The software Mathematica can be used to program the numerical computations and obtain the graph of the lines and points. This demonstrates that Mathematica is more than a computer algebra system; it is also a programming language which can be used for teaching numerical analysis.
ISSN:1051-1970
1935-4053
DOI:10.1080/10511979108965603