In ap-variate weighted least squares multiple regression based onnpoints, each of thepregression coefficients can be calculated from a univariate weighted regression through the origin usingN= (np) composite points. This result can be applied to (1) display thep-dimensional multiple regression aspunivariate regressions each based onNcomposite points, (2) isolate collections of points with large leverage, and (3) characterize the region of regression coefficients that can be obtained from fixed data with varying weights. Consequently, composite points are diagnostically useful in the context of robust regression.