Regressions and Correlations

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What is the definition of correlation in statistics?

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Correlation is a statistical measure that describes the strength and direction of a relationship between two variables.

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CCSS.HSS.ID.C.9

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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 the range of correlation coefficients?

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The range of correlation coefficients is from -1 to +1.

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CCSS.HSS.ID.B.5

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What does an r value of 0 indicate about the relationship between two variables?

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An r value of 0 indicates no correlation between the two variables.

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CCSS.HSS.ID.B.5

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What is the purpose of linear regression?

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The purpose of linear regression is to model the relationship between a dependent variable and one or more independent variables.

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

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CCSS.8.EE.B.5

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How do you calculate the predicted value in a linear regression?

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To calculate the predicted value, substitute the independent variable's value into the linear regression equation.

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CCSS.HSF.IF.A.2

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What is a residual in the context of regression analysis?

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A residual is the difference between the observed value and the predicted value in a regression analysis.

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CCSS.HSS.ID.B.6B

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What is the least squares regression line (LSRL)?

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The least squares regression line (LSRL) is the line that minimizes the sum of the squares of the residuals.

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CCSS.8.SP.A.2

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What does the slope of a regression line represent?

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The slope of a regression line represents the change in the dependent variable for a one-unit change in the independent variable.

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CCSS.8.EE.B.5