Linear Regression

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What is Linear Regression?

Back

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 does the correlation coefficient (r) indicate?

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The strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Tags

CCSS.HSS.ID.C.8

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What does r = -0.89 indicate?

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A strong negative correlation between the two variables.

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CCSS.HSS.ID.B.5

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What does r = 0.3 indicate?

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A weak positive correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

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What is a scatter plot?

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A graphical representation of two variables' values, showing the relationship between them.

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What is a trend line?

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A line that best represents the data points in a scatter plot, used for making predictions.

Tags

CCSS.HSF-LE.A.1B

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How do you interpret a positive correlation?

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As one variable increases, the other variable also tends to increase.

Tags

CCSS.HSS.ID.B.5

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How do you interpret a negative correlation?

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As one variable increases, the other variable tends to decrease.

Tags

CCSS.HSS.ID.B.5

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What is the purpose of using linear regression?

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To predict the value of a dependent variable based on the value(s) of one or more independent variables.

Tags

CCSS.8.SP.A.3

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What is the formula for a simple linear regression line?

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y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.5