Correlation Coefficients

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What is a correlation coefficient?

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A correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables. It ranges from -1 to 1.

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What does a correlation coefficient of 1 indicate?

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A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases.

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What does a correlation coefficient of -1 indicate?

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A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases.

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What does a correlation coefficient of 0 indicate?

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

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What is a weak positive correlation?

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A weak positive correlation occurs when the correlation coefficient is between 0 and 0.3, indicating a slight tendency for one variable to increase as the other increases.

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What is a strong negative correlation?

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A strong negative correlation occurs when the correlation coefficient is between -0.7 and -1, indicating a strong tendency for one variable to decrease as the other increases.

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How do you interpret a correlation coefficient of r = -0.3?

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A correlation coefficient of r = -0.3 is considered to have a weak negative correlation.

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What is the range of correlation coefficients?

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The range of correlation coefficients is from -1 to 1.

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What does it mean if the correlation coefficient is close to 0?

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If the correlation coefficient is close to 0, it means there is little to no linear relationship between the two variables.

Front

What is the formula for calculating the correlation coefficient (r)?

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