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. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

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CCSS.HSS.ID.C.9

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What is a scatterplot?

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A scatterplot is a graphical representation of two variables where each point represents an observation. It helps to visualize the relationship between the variables.

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CCSS.8.SP.A.1

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What does a positive correlation look like on a scatterplot?

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In a scatterplot, a positive correlation appears as a pattern where points trend upwards from left to right.

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CCSS.HSS.ID.B.5

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What does a negative correlation look like on a scatterplot?

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In a scatterplot, a negative correlation appears as a pattern where points trend downwards from left to right.

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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 discernible relationship between the two variables, and the points on the scatterplot are scattered randomly.

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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. A coefficient of +1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

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CCSS.HSS.ID.B.5

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How do you interpret a correlation coefficient of 0.85?

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A correlation coefficient of 0.85 indicates a strong positive correlation between the two variables.

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CCSS.HSS.ID.B.5

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What is the purpose of using scatterplots in data analysis?

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Scatterplots are used to visually assess the relationship between two quantitative variables, helping to identify trends, patterns, and potential correlations.

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CCSS.8.SP.A.1

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What is an outlier in a scatterplot?

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An outlier is a data point that lies far away from the other points in a scatterplot, which can indicate variability in the data or errors in measurement.

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CCSS.8.SP.A.1

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How can you determine the strength of a correlation?

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The strength of a correlation can be determined by the correlation coefficient; values closer to +1 or -1 indicate stronger correlations, while values closer to 0 indicate weaker correlations.

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CCSS.HSS.ID.B.5