What is the highest possible correlation between two variables can have?

What is the highest possible correlation between two variables can have?

-1.0 to 1.0
Understanding Correlation The possible range of values for the correlation coefficient is -1.0 to 1.0. In other words, the values cannot exceed 1.0 or be less than -1.0. A correlation of -1.0 indicates a perfect negative correlation, and a correlation of 1.0 indicates a perfect positive correlation.

What is the range of possible correlation coefficients between two variables?

The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.

Which of the following correlation coefficients expresses the strongest degree of relationship?

The strongest linear relationship is indicated by a correlation coefficient of -1 or 1.

What two things does a correlation coefficient represent?

What does the correlation coefficient indicate? The magnitude, or amount of relationship, and the direction of the relationship.

What does the coefficient of correlation between two variables mean?

The coefficient of correlation between two variables quantifies how tightly coupled are the movements of the two variables with respect to each other. The formula for the coefficient of correlation between two variables that have a linear relationship is: The two sigmas in the denominator are the standard deviations of the respective variables.

Can a correlation coefficient capture a nonlinear relationship?

The correlation coefficient cannot capture nonlinear relationships between two variables. A value of exactly 1.0 means there is a perfect positive relationship between the two variables. For a positive increase in one variable, there is also a positive increase in the second variable.

How is the Pearson product-moment correlation coefficient calculated?

Correlation Coefficient Equation To calculate the Pearson product-moment correlation, one must first determine the covariance of the two variables in question. Next, one must calculate each variable’s standard deviation. The correlation coefficient is determined by dividing the covariance by the product of the two variables’ standard deviations.

What is the absolute value of the correlation coefficient?

The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of the two variables. The range of values for the correlation coefficient bounded by 1.0 on an absolute value basis or between -1.0 to 1.0.