Correlation Coefficient

Front

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.

Front

What is the range of values for a correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

Front

What does a correlation coefficient of r = 0 indicate?

Back

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

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.

Front

How can you visually assess the correlation between two variables?

Back

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

Front

What does a correlation coefficient of r = 1 signify?

Back

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

Front

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

Back

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

Front

What is the formula for calculating the Pearson correlation coefficient?

Back

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.

Front

What is the difference between correlation and causation?

Back

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

Front

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

Back

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