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What is Linear Regression?

Back

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.

Tags

CCSS.8.SP.A.2

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What is the equation of a line in Linear Regression?

Back

The equation of a line in Linear Regression is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.5

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What does the slope (m) represent in a linear regression equation?

Back

The slope (m) represents 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 does the y-intercept (b) represent in a linear regression equation?

Back

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

Tags

CCSS.HSF.LE.B.5

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What is a line of best fit?

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A line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all the data points.

Tags

CCSS.8.EE.B.5

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What is correlation in statistics?

Back

Correlation is a statistical measure that describes the strength and direction of a relationship between two variables.

Tags

CCSS.HSS.ID.C.9

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What is a positive correlation?

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A positive correlation means that as one variable increases, the other variable also tends to increase.

Tags

CCSS.HSS.ID.B.5

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What is a negative correlation?

Back

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

Tags

CCSS.HSS.ID.B.5

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What is no correlation?

Back

No correlation means there is no discernible relationship between the two variables; changes in one do not affect the other.

Tags

CCSS.HSS.ID.B.5

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How do you calculate the linear regression equation from data?

Back

To calculate the linear regression equation, use the least squares method to find the slope (m) and y-intercept (b) that minimize the sum of the squared differences between observed and predicted values.

Tags

CCSS.8.EE.B.5