What does a correlation coefficient of 0 indicate?

Prepare for UCF's PSY3204C Statistical Methods in Psychology Quiz 3. Use interactive tools and engaging quizzes to solidify your understanding of statistics in psychology, and enhance your chances of success.

A correlation coefficient of 0 signifies that there is no linear relationship between the two variables being measured. This means that changes in one variable do not predict any changes in the other variable in a linear manner. Even though a correlation of 0 indicates a lack of linear association, it's important to understand that it does not imply that there is no relationship at all; the relationship could still be non-linear or influenced by other factors.

When interpreting a correlation coefficient, values range from -1 to +1, where values close to +1 indicate a strong positive linear relationship, values close to -1 indicate a strong negative linear relationship, and values near 0 point towards no linear relationship. Thus, a correlation coefficient of 0 explicitly means that the variables do not exhibit a linear connection, affirming the correctness of the answer indicating that there is no linear relationship between the two variables.

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