Regression Formula Correlation Coefficient. Regression formula is used to assess the relationship between dependent and independent variable and find out how it affects the dependent variable on the change of independent variable and represented by equation y is equal to ax plus b where y is the dependent variable a is the slope of regression equation x is the independent variable and b is constant. Let s now input the values for the calculation of the correlation coefficient.
Therefore the linear regression equation is. When expressed as a percent r 2 represents the percent of variation in the dependent variable y that can be explained by variation in the independent variable x using the regression line. The formula for the slope a of the regression line is.
The formula for the slope a of the regression line is.
The parameter signifies the distance above the baseline at which the regression line cuts the vertical y axis. Therefore the linear regression equation is. When expressed as a percent r 2 represents the percent of variation in the dependent variable y that can be explained by variation in the independent variable x using the regression line. For a curved line one needs other more complex measures of correlation.
