Abstract

Of several linear transformations of the Michaelis-Menten equation which may be used to determine the constants, Km and V, the Hofstee plot is the best (see Gancedo, 1974a). In practical classes at least, the straight line from which the constants are read off or calculated is obtained by inspection. The goodness of fit attained by eye.fitting is prone to considerable personal bias particniarly when the data is scattered from a perfect straight line and the number of points is small. Where there is some scatter, and there usually is, it is proper to fit the points to the best straight line using the method of least squares. The line obtained in this way is the one with the least standard error (Snedecor & Cochran, 1972). The goodness of fit of the data to a straight line is expressed by calculating the correlation coefficient. Let us take n pairs of experimental data, (X 1, Y0, (X2, Yz) . . . . (Xn. Yn), and on the assumption that the variables are linearly related we can proceed to obtain the best straight line, y = m x + c, where m and c are calculated from the following formulae:

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