Correlation Coefficient

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What does a positive correlation indicate about the relationship between two variables?

Back

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

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CCSS.HSS.ID.B.5

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What is the range of values for a correlation coefficient?

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The correlation coefficient ranges from -1 to 1.

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CCSS.HSS.ID.C.8

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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.

Tags

CCSS.HSS.ID.B.5

Front

What does a negative correlation indicate about the relationship between two variables?

Back

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

Tags

CCSS.HSS.ID.B.5

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How can you visually assess the correlation between two variables?

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You can visually assess the correlation by creating a scatterplot of the two variables.

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What does a correlation coefficient of r = 1 signify?

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A correlation coefficient of r = 1 signifies a perfect positive linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

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What does a correlation coefficient of r = -1 signify?

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A correlation coefficient of r = -1 signifies a perfect negative linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

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What is the formula for calculating the Pearson correlation coefficient?

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The Pearson correlation coefficient is calculated using the formula: r = (Σ(xy) - n(μx)(μy)) / (√[Σ(x^2) - n(μx)^2] * √[Σ(y^2) - n(μy)^2]), where n is the number of pairs, μx and μy are the means of x and y.

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CCSS.HSS.ID.A.4

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What is the difference between correlation and causation?

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Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

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CCSS.HSS.ID.C.9

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What is the significance of a correlation coefficient close to 0?

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A correlation coefficient close to 0 suggests a weak or no linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5