Correlation Coefficient Practice

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What is the correlation coefficient?

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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 an r value of 1 indicate?

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An r value of 1 indicates a perfect positive correlation, meaning as one variable increases, the other variable also increases.

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What does an r value of -1 indicate?

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An r value of -1 indicates a perfect negative correlation, meaning as one variable increases, the other variable decreases.

Front

What does an r value of 0 indicate?

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An r value of 0 indicates no correlation between the two variables, meaning changes in one variable do not affect the other.

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What is a strong positive correlation?

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A strong positive correlation is indicated by an r value close to 1, suggesting a strong relationship where both variables increase together.

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What is a strong negative correlation?

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A strong negative correlation is indicated by an r value close to -1, suggesting a strong relationship where one variable increases while the other decreases.

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What is a weak positive correlation?

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A weak positive correlation is indicated by an r value between 0 and 0.5, suggesting a slight tendency for both variables to increase together.

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What is a weak negative correlation?

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A weak negative correlation is indicated by an r value between -0.5 and 0, suggesting a slight tendency for one variable to decrease as the other increases.

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How can you visually assess correlation?

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Correlation can be visually assessed using a scatter plot, where the pattern of points indicates the type and strength of the relationship.

Front

What is the formula for calculating the correlation coefficient?

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