Calculating Residuals

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What is a residual in statistics?

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A residual is the difference between the observed value and the predicted value from a regression model.

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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 Value - Predicted Value.

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CCSS.HSS.ID.B.6B

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What does a positive residual indicate?

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A positive residual indicates that the observed value is above the predicted value.

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CCSS.HSS.ID.B.6B

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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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If the predicted value for a book with 17 chapters is 170 pages, what is the residual if the actual pages are also 170?

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0 pages.

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CCSS.8.EE.C.8C

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What is the significance of a residual of 0?

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A residual of 0 means the observed value matches the predicted value exactly.

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CCSS.HSS.ID.B.6B

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What does it mean if a residual is a negative number?

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It means the observed value is less than the predicted value.

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CCSS.HSS.ID.B.6B

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In the context of a scatter plot, what does the line of best fit represent?

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The line of best fit represents the predicted values based on the relationship between the variables.

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CCSS.8.SP.A.2

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This formula predicts the value of y based on the value of x.

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CCSS.8.EE.B.5

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If the line of best fit predicts 26 pages for 3 chapters, what is the residual if the actual pages are 30?

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4 pages.

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CCSS.8.EE.C.8C