Types of 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 be positive, negative, or neither.

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What does a positive correlation indicate?

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A positive correlation indicates that as one variable increases, the other variable also tends to increase.

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CCSS.HSS.ID.B.5

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What does a negative correlation indicate?

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A negative correlation indicates that as one variable increases, the other variable tends to decrease.

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What does 'neither' correlation mean?

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'Neither' correlation means there is no predictable relationship between the two variables.

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Example of positive correlation:

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The number of hours studied and the grade on a test. More hours studied typically lead to higher grades.

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Example of negative correlation:

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The number of inches of rain and the number of times a garden needs to be watered. More rain means less need for watering.

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CCSS.HSS.ID.B.5

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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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CCSS.HSS.ID.B.5

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What does a correlation coefficient of +1 mean?

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A correlation coefficient of +1 means there is a perfect positive correlation between two variables.

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CCSS.HSS.ID.B.5

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What does a correlation coefficient of -1 mean?

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A correlation coefficient of -1 means there is a perfect negative correlation between two variables.

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CCSS.HSS.ID.B.5

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What does a correlation coefficient of 0 mean?

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A correlation coefficient of 0 means there is no correlation between the two variables.

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