Scatter Plots & Correlation

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What is a scatter plot?

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A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

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CCSS.8.SP.A.1

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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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CCSS.HSS.ID.C.9

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What is the correlation coefficient?

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The correlation coefficient (r) is a numerical value between -1 and 1 that indicates the strength and direction of a linear relationship between two variables.

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CCSS.HSS.ID.C.8

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What does a correlation coefficient of r=1 indicate?

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A correlation coefficient of r=1 indicates a perfect positive linear relationship between two variables.

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CCSS.HSS.ID.B.5

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What does a correlation coefficient of r=-1 indicate?

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A correlation coefficient of r=-1 indicates a perfect negative linear relationship between two variables.

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CCSS.HSS.ID.B.5

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What does a correlation coefficient of r=0 indicate?

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A correlation coefficient of r=0 indicates no linear relationship between the two variables.

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CCSS.HSS.ID.B.5

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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 tends to increase.

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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 tends to decrease.

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CCSS.HSS.ID.B.5

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What does 'no association' mean in the context of scatter plots?

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'No association' means that there is no discernible pattern or relationship between the two variables in the scatter plot.

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CCSS.HSF-LE.A.1B

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How can you identify a linear relationship in a scatter plot?

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A linear relationship can be identified in a scatter plot if the data points form a straight line or a pattern that closely resembles a straight line.

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CCSS.8.F.A.3