The method of least squares is an important statistical tool used to obtain the best values, those containing the "least" errors, of unknown quantities. Commonly used by engineers, business managers, government officials, market analysts and others in...

A procedure for fitting a linear equation to an array of data by minimizing the sum of the squares of the deviations of individual points from the line of best fit. The derived expression is the regression...

Statistical method of determining a regression equation, that is, the equation that best represents the relationship among the...

In regression analysis, least squares, also known as ordinary least squares analysis, is a method for linear regression that determines the values of unknown quantities in a statistical model by minimizing the sum of the residuals (the difference...

This paper addresses some of the underlying statistical assumptions and issues in the collection and refinement of powder diffraction data. While standard data collection and Rietveld analysis have been extremely successful in providing structural information on a vast range of materials, there is...

We present an approach to the problem of general least squares estimation of the general linear model in terms of constrained optimization, which is in turn solved via Lagrange multipliers. We demonstrate that one system of equations is sufficiently versatile to cover not...