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 between the variables.

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CCSS.HSS.ID.C.9

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What are the types of correlation?

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There are three types of correlation: Positive Correlation, Negative Correlation, and No Correlation.

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CCSS.HSS.ID.C.9

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What does positive correlation mean?

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Positive correlation means that as one variable increases, the other variable also increases. For example, height and weight often show positive correlation.

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CCSS.HSS.ID.B.5

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What does negative correlation mean?

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Negative correlation means that as one variable increases, the other variable decreases. For example, the amount of time spent studying and the number of mistakes made on a test may show negative correlation.

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CCSS.HSS.ID.B.5

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What does no correlation mean?

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No correlation means that there is no predictable relationship between the two variables. Changes in one variable do not affect the other.

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CCSS.HSS.ID.B.5

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How is correlation measured?

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Correlation is measured using a correlation coefficient, which ranges from -1 to +1. A coefficient close to +1 indicates a strong positive correlation, while a coefficient close to -1 indicates a strong negative correlation.

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CCSS.HSS.ID.C.8

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What is an example of positive correlation?

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An example of positive correlation is the relationship between temperature and ice cream sales; as temperature increases, ice cream sales tend to increase.

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CCSS.HSS.ID.B.5

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What is an example of negative correlation?

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An example of 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 is an example of no correlation?

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An example of no correlation is the relationship between shoe size and intelligence; there is no predictable relationship between these two variables.

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CCSS.HSS.ID.B.5

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What is the correlation coefficient for a perfect positive correlation?

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The correlation coefficient for a perfect positive correlation is +1.

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