Correlation Coefficient

Front

What is the correlation coefficient?

Back

The correlation coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

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What does a correlation coefficient of r = 1 indicate?

Back

A correlation coefficient of r = 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a perfectly linear manner.

Front

What does a correlation coefficient of r = -1 indicate?

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A correlation coefficient of r = -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

Front

What does a correlation coefficient of r = 0 indicate?

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A correlation coefficient of r = 0 indicates no correlation between the two variables, meaning there is no predictable relationship between them.

Front

What is a positive correlation?

Back

A positive correlation occurs when an increase in one variable corresponds to an increase in another variable.

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What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable corresponds to a decrease in another variable.

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What is a weak positive correlation?

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A weak positive correlation is indicated by a correlation coefficient close to 0 but greater than 0 (e.g., r = 0.32), suggesting a slight tendency for both variables to increase together.

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What is a strong positive correlation?

Back

A strong positive correlation is indicated by a correlation coefficient close to 1 (e.g., r = 0.9), suggesting a strong tendency for both variables to increase together.

Front

What is a weak negative correlation?

Back

A weak negative correlation is indicated by a correlation coefficient close to 0 but less than 0 (e.g., r = -0.32), suggesting a slight tendency for one variable to decrease as the other increases.

Front

What is a strong negative correlation?

Back

A strong negative correlation is indicated by a correlation coefficient close to -1 (e.g., r = -0.9), suggesting a strong tendency for one variable to decrease as the other increases.