Statistics Course Help With Most Plausible solution Of System

7.2 Most Plausible solution Of System Of Linear Equations:

Method of least squares is helpful in finding the most plausible values of the variables satisfying a system of independent linear equations whose number is more than the number of variables under study. Consider the following set of m equations in n variables X,Y,Z,…….T:

These are known as the normal equations for X,Y,Z,……..,T respectively. Thus we have n normal equations in n unknowns X,Y,Z,…….,T and their unique solution gives the best or the most plausible solution of the system.

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