Scatterplots and correlation coefficient

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What is a scatterplot?

Back

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

Tags

CCSS.8.SP.A.1

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What does correlation coefficient measure?

Back

The correlation coefficient measures the strength and direction of a linear relationship between two variables.

Tags

CCSS.HSS.ID.C.8

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What does it mean if the correlation coefficient (r) is close to 1?

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If r is close to 1, it indicates a strong positive linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

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What does it mean if the correlation coefficient (r) is close to -1?

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If r is close to -1, it indicates a strong negative linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

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What does it mean if the correlation coefficient (r) is close to 0?

Back

If r is close to 0, it indicates little to no linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

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What is a linear regression equation?

Back

A linear regression equation is a mathematical representation of the relationship between two variables, typically in the form y = mx + b.

Tags

CCSS.8.EE.B.5

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What are residuals in a regression model?

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Residuals are the differences between the observed values and the values predicted by the regression model.

Tags

CCSS.HSS.ID.B.6B

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What does a residual plot show?

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A residual plot shows the residuals on the vertical axis and the independent variable on the horizontal axis, helping to assess the fit of a regression model.

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What indicates a good fit in a residual plot?

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A random pattern in a residual plot indicates that the regression model is a good fit for the data.

Tags

CCSS.HSS.ID.B.6B

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What indicates a poor fit in a residual plot?

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A pattern or trend in a residual plot indicates that the regression model is a poor fit for the data.

Tags

CCSS.HSS.ID.B.6B