JSM 2004 - Toronto

Abstract #301711

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Activity Number: 25
Type: Contributed
Date/Time: Sunday, August 8, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Education
Abstract - #301711
Title: Introducing Regression Concepts via Relationships that are Thought to be Deterministic
Author(s): Christopher J. Malone*+
Companies: Winona State University
Address: Dept. of Mathematics & Statistics, Winona, MN, 55987,
Keywords: teaching ; regression
Abstract:

How do you introduce regression concepts? Regression is often introduced with a scatterplot showing the relationship between two variables. This discussion usually moves quickly onto the estimation of the slope and y-intercept which necessitates the need for hypothesis tests and confidence intervals. Regression is more intuitive than this and it should be taught more intuitively. For example, the concept of a residual does not require the estimation of a mean function if one expects a particular functional relationship to be present. Likewise, the concept of R-Squared may precede the estimation of regression parameters. Much of the discussion will be motivated through the Haystack dataset which was initially presented by Ezekiel (1941) and is used extensively in Cook and Weisberg (1999).

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