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What is a residual in statistics?

Back

A residual is the difference between the observed value and the predicted value of a data point in a regression analysis.

Tags

CCSS.HSS.ID.B.6B

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How do you calculate a residual?

Back

Residual = Observed value - Predicted value.

Tags

CCSS.HSS.ID.B.6B

Front

What does a positive residual indicate?

Back

A positive residual indicates that the observed value is greater than the predicted value.

Tags

CCSS.HSS.ID.B.6B

Front

What does a negative residual indicate?

Back

A negative residual indicates that the observed value is less than the predicted value.

Tags

CCSS.HSS.ID.B.6B

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What is the purpose of a residual plot?

Back

A residual plot is used to assess the fit of a regression model by plotting residuals on the y-axis against predicted values on the x-axis.

Tags

CCSS.HSS.ID.B.6B

Front

What does it mean if a residual plot shows a random scatter?

Back

A random scatter in a residual plot suggests that a linear model is appropriate for the data.

Tags

CCSS.HSS.ID.B.6B

Front

What does it mean if a residual plot shows a pattern?

Back

A pattern in a residual plot indicates that a linear model may not be appropriate for the data.

Tags

CCSS.HSS.ID.B.6B

Front

What is the y-intercept in a regression equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Tags

CCSS.HSF.LE.B.5

Front

What is the slope in a regression equation?

Back

The slope represents the change in the dependent variable for a one-unit change in the independent variable.

Tags

CCSS.HSF-LE.A.1B

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What does it mean if the slope of a regression line is negative?

Back

A negative slope indicates an inverse relationship between the independent and dependent variables.

Tags

CCSS.8.EE.B.5