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 a positive correlation indicate in a scatterplot?

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A 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 negative correlation indicate in a scatterplot?

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A 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 equation of a line in slope-intercept form?

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The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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What is the slope in a linear regression equation?

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The slope in a linear regression equation represents the rate of change of the dependent variable for each unit change in the independent variable.

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What is the y-intercept in a linear regression equation?

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The y-intercept in a linear regression equation is the value of the dependent variable when the independent variable is zero.

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CCSS.HSF.LE.B.5

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How do you interpret the slope of the equation y = 1.5x + 12?

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In the equation y = 1.5x + 12, the slope of 1.5 means that for every one unit increase in x, y increases by 1.5 units.

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CCSS.HSF.LE.B.5

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What is the purpose of finding the line of best fit?

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The purpose of finding the line of best fit is to create a linear model that best represents the relationship between the variables in a dataset.

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CCSS.8.EE.B.5

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

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

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CCSS.8.EE.B.5

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What does it mean if there is no correlation in a scatterplot?

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If there is no correlation in a scatterplot, it means that there is no discernible relationship between the two variables.

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CCSS.HSF-LE.A.1B