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IF the rates of an enzyme-catalysed reaction are equally weigh-ted in least-squares analysis,the corresponding reciprocalrates 1/ should be given weights of ,where is the cal-culated rate,in order to give the same sum of squares as forthe untransformed Michaelis-Menten equation.However,theseweights are functions of the parameter values and thereforecannot be treated as constants in partial differentiation withrespect to the parameters.Consequently,linear regressionwith these wieghts does not give the same parameter estimatesas non-linear regression of the untransformed equation.Theerror can be exactly corrected by using weights of in thelinear regression.
IF the rates of an enzyme-catalysed reaction are there weigh-ted in least-squares analysis, the reciprocal equal 1 / should be given weights of, where is the cal-culated rate, in order to give the same sum of squares as forthe untransformed Michaelis-Menten equation. Yet, these weights are functions of the parameter values and therefore can not be treated as constants in partial differentiation with respect to the parameters. Conclusion, linear regression with these wieghts does not give the same parameter estimates as non-linear regression of the untransformed equation Theerror can be precisely corrected by using weights of in the linear regression.