AP Stats 3.1-3.3 Regression & Correlation (Stats in Action)

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What is correlation in statistics?

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Correlation measures the strength and direction of a linear relationship between two variables.

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CCSS.HSF-LE.A.1B

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What does a correlation coefficient of r=0 indicate?

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A correlation coefficient of r=0 indicates no correlation between the two variables.

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CCSS.HSS.ID.B.5

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What does a strong positive correlation look like?

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A strong positive correlation means that as one variable increases, the other variable also increases.

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CCSS.HSS.ID.B.5

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What does a strong negative correlation indicate?

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A strong negative correlation indicates that as one variable increases, the other variable decreases.

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CCSS.HSS.ID.B.5

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What is the purpose of linear regression?

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Linear regression is used to model the relationship between a dependent variable and one or more independent variables.

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CCSS.8.SP.A.3

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What does the slope of a regression line 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 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

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How do you interpret a correlation coefficient of r=-0.957?

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An r value of -0.957 indicates a strong negative correlation between the two variables.

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CCSS.HSS.ID.C.8

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What is the formula for the slope (m) in linear regression?

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The slope (m) is calculated as m = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²), where n is the number of data points.

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CCSS.HSS.ID.C.8

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What does it mean if the data points in a scatter plot are widely spread out?

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Widely spread out data points indicate a weak correlation between the variables.

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CCSS.HSF-LE.A.1B