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The method of Lagrange multipliers finds critical points (including maxima and minima) of a differentiable function subject to differentiable constraints.
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R built-in Breusch-Pagan Test getting different results from manual Calculation
You used 19 degrees of freedom while bptest() used only 18. The reason for this discrepancy is that you cannot include the identical regressors weightsq and I(weight^2) in the auxiliary regression. We …