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?

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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 does 'no correlation' mean?

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

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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 where each point represents an observation, allowing for visual assessment of relationships.

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What is the line of best fit?

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The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

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CCSS.8.EE.B.5

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How do you interpret the slope of a linear regression line?

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The slope indicates the change in the dependent variable for each one-unit change in the independent variable.

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CCSS.HSF-LE.A.1B

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What is the correlation coefficient?

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The correlation coefficient (r) quantifies the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

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CCSS.HSS.ID.C.8

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What does an r value of 1 indicate?

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An r value of 1 indicates a perfect positive linear correlation between two variables.

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CCSS.HSS.ID.B.5

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What does an r value of -1 indicate?

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An r value of -1 indicates a perfect negative linear correlation between two variables.

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CCSS.HSS.ID.B.5