Scatterplots, correlation and line of best fit

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What is a scatterplot?

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A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

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CCSS.8.SP.A.1

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What does the line of best fit represent in a scatterplot?

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The line of best fit is a straight line that best represents the data on a scatterplot. It shows the general direction of the data points.

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CCSS.8.SP.A.2

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What is correlation in statistics?

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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 no correlation.

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CCSS.HSS.ID.C.9

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What is a positive correlation?

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A positive correlation means that as one variable increases, the other variable also increases.

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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 means that as one variable increases, the other variable decreases.

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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 relationship between the changes in two variables.

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CCSS.HSS.ID.B.5

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How can you identify a positive correlation in a scatterplot?

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In a scatterplot, a positive correlation is identified when the points tend to rise from left to right.

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CCSS.HSF-LE.A.1B

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How can you identify a negative correlation in a scatterplot?

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In a scatterplot, a negative correlation is identified when the points tend to fall from left to right.

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CCSS.HSF-LE.A.1B

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What is the purpose of the line of best fit?

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The purpose of the line of best fit is to summarize the relationship between the variables and to make predictions.

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CCSS.8.EE.B.5

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What is an example of a situation with positive correlation?

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An example of positive correlation is the relationship between hours studied and test scores; generally, more study hours lead to higher scores.

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CCSS.HSS.ID.B.5