Study Notes 180—Relationship and Difference Between Regression Coefficient and Correlation Coefficient

1. The difference between correlation coefficient and regression coefficient

1. Different meaning

Correlation coefficient: yesA measure of the degree of linear correlation between the study variables.

Regression Coefficient: A parameter that represents the influence of the independent variable x on the dependent variable y in the regression equation.

2. Apply different

Correlation coefficients: Explain the correlation between two variables.

Regression Coefficient: Describes the quantitative relationship of dependent changes between two variables.

3. Different units

Correlation coefficient: generally represented by the letter r, r has no unit.

Regression coefficient: generally expressed by the slope b, b has a unit.

Second, the relationship between regression coefficient and correlation coefficient:

1. If the regression coefficient is greater than zero, the correlation coefficient is greater than zero

2. If the regression coefficient is less than zero, the correlation coefficient is less than zero

3, as shown:

Means one:

means two: