Correlation Coefficient

Front

What is the correlation coefficient?

Back

The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

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What does a correlation coefficient of 1 indicate?

Back

A correlation coefficient of 1 indicates a perfect positive linear relationship between two variables.

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What does a correlation coefficient of -1 indicate?

Back

A correlation coefficient of -1 indicates a perfect negative linear relationship between two variables.

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What does a correlation coefficient of 0 indicate?

Back

A correlation coefficient of 0 indicates no linear relationship between two variables.

Front

How do you interpret a correlation coefficient of 0.61?

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A correlation coefficient of 0.61 indicates a moderate positive relationship between the two variables.

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How do you interpret a correlation coefficient of -0.12?

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A correlation coefficient of -0.12 indicates a weak negative relationship between the two variables.

Front

What is a regression equation?

Back

A regression equation is a mathematical representation of the relationship between a dependent variable and one or more independent variables, typically in the form y = Ax + B.

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What does the slope (A) in a regression equation represent?

Back

The slope (A) in a regression equation represents the change in the dependent variable (y) for a one-unit change in the independent variable (x).

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What does the y-intercept (B) in a regression equation represent?

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The y-intercept (B) in a regression equation represents the value of the dependent variable (y) when the independent variable (x) is zero.

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How do you calculate the correlation coefficient from a dataset?

Back

The correlation coefficient can be calculated using the formula: r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)], where n is the number of data points.