Correlation

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What is correlation in statistics?

Back

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

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CCSS.HSS.ID.C.9

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What are the possible values of a correlation coefficient?

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The correlation coefficient can range from -1 to +1. A value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

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CCSS.HSS.ID.B.5

Front

What does a positive correlation indicate?

Back

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?

Back

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

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CCSS.HSS.ID.B.5

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What is a strong correlation?

Back

A strong correlation is indicated by a correlation coefficient close to -1 or +1, suggesting a strong linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

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What is a moderate correlation?

Back

A moderate correlation is indicated by a correlation coefficient around -0.5 to -0.7 or +0.5 to +0.7, suggesting a moderate linear relationship between the two variables.

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CCSS.HSS.ID.B.5

Front

What is a weak correlation?

Back

A weak correlation is indicated by a correlation coefficient close to 0, suggesting a weak linear relationship between the two variables.

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CCSS.HSS.ID.B.5

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What does a correlation coefficient of 0 mean?

Back

A correlation coefficient of 0 indicates that there is no linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

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How can correlation be visually represented?

Back

Correlation can be visually represented using a scatter plot, where each point represents an observation and the pattern of points indicates the type of correlation.

Tags

CCSS.HSS.ID.B.5

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, but it does not imply that one variable causes the other to change.

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CCSS.HSS.ID.C.9