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 in a linear regression equation represent?

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The slope 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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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 does a positive correlation indicate?

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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?

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

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A trend line is used to show the general direction of the data points and can help in predicting values.

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What does it mean if there is no correlation between two variables?

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No correlation means that there is no predictable relationship between the two variables; changes in one do not affect the other.

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CCSS.HSS.ID.B.5

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How do you calculate the linear regression equation from data?

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To calculate the linear regression equation, use the least squares method to find the best-fitting line that minimizes the sum of the squares of the vertical distances of the points from the line.

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What is 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.

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CCSS.HSF.LE.B.5