Considering numerical error propagation in modeling and regression of data

Neima Brauner, Mordechai Shacham

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations

Abstract

The use of user-friendly interactive regression software enables undergraduate engineering students to reach a high level of sophistication in regression, correlation and analysis of data. In order to interpret correctly the results, the students must be familiar with potential causes for poor fits in correlations, should be able to recognize a poor correlation and improve it if possible. They should also be aware of the practical consequences of using a correlation which has no statistical validity. In this paper, the harmful effects of numerical error propagation (resulting from collinearity among the independent variables) are explained and demonstrated. Simple methods for minimizing such error propagation in polynomial regression are introduced. This material can be presented, for example, as part of 3rd year undergraduate mathematical modeling and numerical methods course.

Original languageEnglish
Pages (from-to)15
Number of pages15
JournalASEE Annual Conference Proceedings
StatePublished - 1 Dec 1998
Externally publishedYes
EventProceedings of the 1998 Annual ASEE Conference - Seattle, WA, USA
Duration: 28 Jun 19981 Jul 1998

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