Scatterplots & Residuals Review

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What is a residual in the context of regression analysis?

Back

A residual is the difference between the observed value and the predicted value from a regression model, calculated as: Residual = Observed - Predicted.

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CCSS.HSS.ID.B.6B

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How do you calculate a residual?

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Residual = Observed - Predicted.

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CCSS.HSS.ID.B.6B

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What does extrapolation mean in statistics?

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Extrapolation is the use of a regression line to predict values outside the interval of values used to obtain the line.

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CCSS.HSS.ID.B.6A

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What is the response variable in a study of GPA and study time?

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The response variable is the Student's GPA.

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CCSS.HSS.ID.C.9

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What does a negative residual indicate?

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A negative residual indicates that the observed value is below the predicted value.

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CCSS.HSS.ID.B.6B

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What is the formula for a regression line?

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CCSS.8.EE.C.7B

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What is the significance of the slope in a regression line?

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The slope indicates the change in the response variable for a one-unit change in the predictor variable.

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CCSS.HSF.LE.B.5

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What is the purpose of a scatterplot?

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A scatterplot visually represents the relationship between two quantitative variables, showing how one variable may affect another.

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CCSS.8.SP.A.1

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What does it mean if points on a scatterplot are closely clustered around a regression line?

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It indicates a strong correlation between the two variables.

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CCSS.8.SP.A.1

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What is the difference between interpolation and extrapolation?

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Interpolation is predicting values within the range of the data, while extrapolation is predicting values outside that range.

Tags

CCSS.HSS.ID.B.6A