The ash fusion temperature of them was regression analyzed by using from first to fourth order polynomial models via six main chemical compositions of coal ash including SiO_2, Al_2O_3 and other oxides, and the partial regression functions were got via mathematically analyzing polynomial regression equations.

The combining generalized ridge and principal components estimator of regression coefficient in growth curve model;

The linear minimax estimation of regression coefficient in a general Gauss-Markov Model under balanced loss function

The relationship of the correlative coefficients and the regression coefficients is proved, and another new target P2 for the correlation degree among the described variables is put forward in the peper.

Admissible estimatiors for regression coefficients and parameters in multivariate stochastic effective linear model under restricted conditions;

Applying the principle of least square estimation and numerical solution of nonlinear equation, a new method is used to define regression coefficients in the pure nonlinear regression model that only one parameter appears in the nonlinear form.

This paper deals with the quantitative relations between regression coefficients and partial correlation coefficients in multivariate linear regression, and their statistical meanings.