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Reverse Analysis of a Multiple Regression Problem

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@dj15 wrote:

Is it possible to reverse analyse a regression equation? For example, let’s say i have a regression equation y=b+a1x1+a2x2+a3x3+a4x4.
y -dependent variable,x1,x2,x3,x4 - independent variable, a1,a2,a3,a4- coefficients. Now, if ‘y’ is given, can i estimate x1,x2,x3,x4 and their coefficients? Is there any algorithm or package in R or python to solve this?

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