Correlation

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What is correlation?

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Correlation is a statistical measure that describes the extent to which two variables change together. It can indicate the strength and direction of a relationship.

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CCSS.HSS.ID.C.9

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What does a correlation coefficient (r) of 1 indicate?

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

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CCSS.HSS.ID.B.5

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What does a correlation coefficient (r) of -1 indicate?

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

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CCSS.HSS.ID.B.5

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What does a correlation coefficient (r) of 0 indicate?

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

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CCSS.HSS.ID.B.5

Front

What is a positive correlation?

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

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CCSS.HSS.ID.B.5

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What is a negative correlation?

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

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CCSS.HSS.ID.B.5

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What is the difference between correlation and causation?

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Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

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CCSS.HSS.ID.C.9

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What is an example of a positive correlation?

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An example of a positive correlation is the relationship between hours studied and test scores; as study time increases, test scores tend to increase.

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CCSS.HSS.ID.B.5

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What is an example of a negative correlation?

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An example of a negative correlation is the relationship between the amount of exercise and body weight; as exercise increases, body weight tends to decrease.

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CCSS.HSS.ID.B.5

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What does it mean if two variables have no correlation?

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If two variables have no correlation, it means that changes in one variable do not predict changes in the other variable.

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CCSS.HSS.ID.B.5