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 association in a graph indicate?

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A positive association 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 association in a graph indicate?

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

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CCSS.HSF-LE.A.1B

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What does 'no association' mean in a scatterplot?

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'No association' means that there is no discernible relationship between the two variables; changes in one do not predict changes in the other.

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CCSS.HSF-LE.A.1B

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What is the formula for a linear regression equation?

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The formula for a linear regression equation is typically written as y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.5

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What is the slope in a linear regression equation?

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The slope (m) represents the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

Tags

CCSS.8.EE.B.5

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

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The y-intercept (b) is the value of y when the independent variable (x) is zero.

Tags

CCSS.HSF.LE.B.5

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How do you interpret a slope of 2 in a linear regression equation?

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A slope of 2 means that for every one unit increase in x, y increases by 2 units.

Tags

CCSS.HSF.LE.B.5

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What is a scatterplot?

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A scatterplot 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 it mean if a scatterplot shows a strong correlation?

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A strong correlation means that the points in the scatterplot are closely clustered around a line, indicating a strong relationship between the two variables.

Tags

CCSS.HSF.LE.B.5