Linear Regression Review

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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.

Tags

CCSS.8.SP.A.2

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What does the slope in a linear regression equation represent?

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The slope indicates the rate of change of the dependent variable for each unit change in the independent variable.

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What is the equation of a linear regression line?

Back

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CCSS.8.EE.B.5

Front

How do you interpret the y-intercept in a linear regression equation?

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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 a scatter plot?

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A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Tags

CCSS.8.SP.A.1

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What does a trend line in a scatter plot indicate?

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A trend line shows the general direction of the data points and can be used to make predictions.

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How can you use a trend line to make predictions?

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You can use the equation of the trend line to estimate the value of the dependent variable for a given value of the independent variable.

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CCSS.HSF-LE.A.1B

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What is the purpose of calculating the linear regression equation?

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The purpose is to find the best-fitting line that describes the relationship between the variables, allowing for predictions.

Tags

CCSS.8.EE.B.5

Front

What does a correlation coefficient (r) indicate in linear regression?

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The correlation coefficient indicates the strength and direction of the linear relationship between two variables, ranging from -1 to 1.

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CCSS.HSS.ID.C.8

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What does it mean if the correlation coefficient is close to 1?

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It indicates a strong positive linear relationship between the variables.

Tags

CCSS.HSF-LE.A.1B