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.

Tags

CCSS.8.SP.A.2

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What does the slope of a linear regression line represent?

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The slope of a linear regression line represents the change in the dependent variable for each one-unit change in the independent variable.

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CCSS.HSF.LE.B.5

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What is 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, representing the point where the regression line crosses the y-axis.

Tags

CCSS.HSF.LE.B.5

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How do you interpret the coefficients in a linear regression equation?

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The coefficients indicate the strength and direction of the relationship between the independent variable(s) and the dependent variable.

Tags

CCSS.8.SP.A.3

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What is the purpose of rounding coefficients in a linear regression equation?

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Rounding coefficients helps simplify the equation for easier interpretation and communication of results.

Tags

CCSS.HSF.LE.B.5

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What is the line of best fit?

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The line of best fit is the linear regression line that minimizes the distance between the observed data points and the line itself, representing the best approximation of the relationship between variables.

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How can you estimate future values using a linear regression equation?

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You can estimate future values by substituting the desired value of the independent variable into the linear regression equation.

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What is a scatter plot and how is it used in linear regression?

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A scatter plot is a graphical representation of two variables, showing the relationship between them. It is used to visualize data points and assess the potential linear relationship before performing regression analysis.

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CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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What does it mean if a scatter plot shows no relationship?

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If a scatter plot shows no relationship, it indicates that there is no discernible pattern or correlation between the two variables being analyzed.

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CCSS.HSF-LE.A.1B

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What is the formula for a simple linear regression equation?

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The formula for a simple linear regression equation is y = mx + b, where m is the slope, x is the independent variable, and b is the y-intercept.

Tags

CCSS.8.EE.B.5