Linear Regression

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What is Linear Regression?

Back

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 is the equation of a line in linear regression?

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The equation of a line in linear regression is typically expressed 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 does the slope (m) represent 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 does the y-intercept (b) represent in a linear regression equation?

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

Tags

CCSS.HSF.LE.B.5

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How do you interpret the linear regression equation y = 1.5x + 12?

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In this equation, for every 1 unit increase in x, y increases by 1.5 units, and when x is 0, y is 12.

Tags

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 line of best fit minimizes the distance between the data points and the line, providing the best approximation of the relationship between the variables.

Tags

CCSS.8.EE.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.

Tags

CCSS.8.SP.A.1

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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, the data points are scattered randomly, indicating that changes in one variable do not affect the other.

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CCSS.HSF-LE.A.1B

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What is the formula for calculating the line of best fit using linear regression?

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The line of best fit can be calculated using the least squares method, which minimizes the sum of the squares of the vertical distances of the points from the line.

Tags

CCSS.8.EE.B.5

Front

How do you predict y using a linear regression equation?

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To predict y, substitute the value of x into the linear regression equation and solve for y.

Tags

CCSS.8.EE.B.5