9.5 The Coefficients of Correlation and Determination

In this section, we present two statistics that describe the adequacy of a model: the coefficient of correlation and the coefficient of determination.

Coefficient of Correlation

Recall (from optional Section 2.8) that a bivariate relationship describes a relationship—or correlation—between two variables x and y. Scatterplots are used to describe a bivariate relationship graphically. In this section, we will discuss the concept of correlation and how it can be used to measure the linear relationship between two variables x and y. A numerical descriptive measure of correlation is provided by the coefficient of correlation, r.

The coefficient of correlation,*

r, is a measure of the strength ...

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