In an increasingly data-driven world, it is more important than ever for students as well as professionals to better understand basic statistical concepts. 100 Questions (and Answers) About Statistics addresses the essential questions that students ask about statistics in a concise and accessible way. It is perfect for instructors, students, and practitioners as a supplement to more comprehensive materials, or as a desk reference with quick answers to the most frequently asked questions.

# What Is the Coefficient of Determination, and How Is It Computed?

### What Is the Coefficient of Determination, and How Is It Computed?

Although a simple examination of the value of a correlation coefficient can provide a general assessment of the strength of the relationship between two variables, there is a far more precise way to do this.

The coefficient of determination, represented as rxy2 or the square of the correlation coefficient, yields the amount of variance in one variable that is accounted for by changes in another variable. The concept of the coefficient of determination is based on the fact that variables that are correlated with one another share something in common. The stronger the relationship (rxy), the more they share and the higher the coefficient of determination.

For example, let’s take the correlation between height and ...

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