Scatter Plots Correlations

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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 a positive correlation indicate in a scatter plot?

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A positive correlation indicates 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 does a negative correlation indicate in a scatter plot?

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A negative correlation indicates 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 is the range of correlation coefficients?

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The range of correlation coefficients is from -1 to 1.

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CCSS.HSS.ID.B.5

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What does a correlation coefficient of 0 mean?

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A correlation coefficient of 0 means there is no linear relationship between the two variables.

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CCSS.HSS.ID.B.5

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What does a correlation coefficient of -1 indicate?

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

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CCSS.HSS.ID.B.5

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What does a correlation coefficient of 1 indicate?

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

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CCSS.HSS.ID.B.5

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How can you visually assess the correlation in a scatter plot?

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You can visually assess the correlation by observing the direction and tightness of the data points around a line of best fit.

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CCSS.HSF-LE.A.1B

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What is the purpose of the line of best fit in a scatter plot?

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The line of best fit summarizes the relationship between the two variables and helps predict values.

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CCSS.8.EE.B.5

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What is the formula for calculating the correlation coefficient (r)?

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The formula for calculating the correlation coefficient (r) involves the covariance of the variables divided by the product of their standard deviations.

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CCSS.HSS.ID.C.8