Correlation and Scatterplots

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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 zero.

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CCSS.HSS.ID.C.9

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What is a positive correlation?

Back

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 does a correlation coefficient (r) of 1 indicate?

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A correlation coefficient of 1 indicates 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 (r) of -1 indicate?

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A correlation coefficient of -1 indicates 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 (r) of 0 indicate?

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A correlation coefficient of 0 indicates no correlation between two variables.

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CCSS.HSS.ID.B.5

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What is a scatterplot?

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A scatterplot is a graph that displays values for two variables for a set of data, showing the relationship between them.

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CCSS.8.SP.A.1

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How do you interpret a scatterplot with a positive slope?

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A scatterplot with a positive slope indicates a positive correlation, meaning as one variable increases, the other variable also increases.

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CCSS.HSS.ID.B.5

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How do you interpret a scatterplot with a negative slope?

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A scatterplot with a negative slope indicates a negative correlation, meaning as one variable increases, the other variable decreases.

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CCSS.HSS.ID.B.5

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What does it mean if a scatterplot shows no clear pattern?

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If a scatterplot shows no clear pattern, it suggests that there is no correlation between the two variables.

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CCSS.HSS.ID.B.5