Introduction to Scatterplots & Correlation

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What is a scatterplot?

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A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

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What does correlation mean in statistics?

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Correlation refers to a statistical measure that describes the extent to which two variables change together.

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What are the types of correlation?

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Positive correlation, negative correlation, and no correlation.

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What is a positive correlation?

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A positive correlation occurs when one variable increases as the other variable also increases.

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What is a negative correlation?

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A negative correlation occurs when one variable increases while the other variable decreases.

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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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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 the two variables.

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CCSS.HSS.ID.B.5

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How can you visually identify correlation in a scatterplot?

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You can visually identify correlation by observing the direction of the points: upward slope indicates positive correlation, downward slope indicates negative correlation, and no discernible pattern indicates no correlation.

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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 temperature and the number of hot chocolates sold; as temperature increases, hot chocolate sales decrease.

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