Algebra 1 4.7 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 rate of change of the dependent variable for each unit change in the independent variable.

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CCSS.8.EE.B.5

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What is the equation of a line in slope-intercept form?

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

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What is the y-intercept in a linear equation?

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What is the line of best fit?

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The 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 data points.

Tags

CCSS.8.EE.B.5

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

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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 is the purpose of linear regression analysis?

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The purpose of linear regression analysis is to predict the value of a dependent variable based on the value(s) of one or more independent variables.

Front

What is the formula for the linear regression equation?

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Tags

CCSS.8.EE.B.5

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How do you interpret the slope of a linear regression equation?

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The slope indicates how much the dependent variable is expected to increase (or decrease) for each one-unit increase in the independent variable.