Relationships Between Two Measurement Variables

11/29/99


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Table of Contents

Relationships Between Two Measurement Variables

Examples

Types of Relationships

A Deterministic Relationship

A Statistical Relationship

Three Methods

Scatter Plots

Scatter plot

Scatter plot

Scatter plot

Correlation coefficient (“r”)

Interpretation of r

r = +1

r = 0

r = 0.17

r = 0.91

Correlation not appropriate

r = 0.50

r = - 0.84

Linear Regression

Least Squares Estimation

Least Squares Line

Interpretation of Line

Use of Line for Prediction

Do not extrapolate!

Least Squares Estimation

Least Squares Estimation

Comparison of Pulse Rates

Cautionary Notes

Author: Laura J. Simon

Email: lsimon@stat.psu.edu

Home Page: http://www.stat.psu.edu/~lsimon/stat250/fa99/admin/

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