Linear Regression

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What is Linear Regression?

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Linear Regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

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CCSS.8.SP.A.2

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What does the equation of a linear regression look like?

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The equation of a linear regression is typically written as y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.HSF.LE.B.5

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What is the slope in a linear regression equation?

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The slope (m) indicates the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

Tags

CCSS.8.EE.B.5

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What is the y-intercept in a linear regression equation?

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The y-intercept (b) is the value of y when the independent variable (x) is zero.

Tags

CCSS.HSF.LE.B.5

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How do you interpret a positive slope in linear regression?

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A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Tags

CCSS.HSF.LE.B.5

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How do you interpret a negative slope in linear regression?

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A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Tags

CCSS.8.EE.B.5

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What does it mean if there is no association in a linear regression?

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No association means that changes in the independent variable do not affect the dependent variable.

Tags

CCSS.HSF-LE.A.1B

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What is a scatterplot?

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A scatterplot is a graphical representation of the relationship between two quantitative variables, showing individual data points.

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What does a positive correlation in a scatterplot indicate?

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A positive correlation indicates that as one variable increases, the other variable tends to increase as well.

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CCSS.HSS.ID.B.5

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What does a negative correlation in a scatterplot indicate?

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A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Tags

CCSS.HSS.ID.B.5