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 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 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.

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CCSS.8.SP.A.1

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What does a strong positive correlation indicate?

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

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CCSS.HSS.ID.B.5

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What does a strong negative correlation indicate?

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

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CCSS.HSS.ID.B.5

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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 the points.

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CCSS.8.EE.B.5

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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

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What is the purpose of using a trend line in a scatter plot?

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A trend line helps to visualize the overall direction of the data points and can be used to make predictions.

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What does it mean if the correlation coefficient (r) is -0.86?

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An r value of -0.86 indicates a strong negative correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

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How can you predict a value using linear regression?

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To predict a value using linear regression, substitute the independent variable's value into the linear equation to find the corresponding dependent variable's value.