Goodness of fit of regression equation

In multivariate regression, the increment of the independent variable will enlarge the R-squared, in order to avoid overestimating R-Squared, using the multiple determinant coefficients of adjustment:

Adjusted multiple coefficient of determination, recorded as R_a Square

r_a_square=1-(1-r**2) * ((n-1)/(n-k-1))

Python encoding

# adjusted multiple coefficient of determination adjustment multiple determinant coefficients
def r_a_square (r,n,k):
#n is the number of samples, K is the argument of arguments

r_a_suare=1-(1-r**2) * ((n-1) *1.0/(n-k-1)) #注意除法一定要添加浮点数, otherwise operation error
Return R_a_suare

Goodness of fit of regression equation