Optimum exponential regression with one nonlinear term
A method is suggested for estimating regression parameters for a model E(Y = a + bX + ce^-^@?^t, where observations on Y, X and t are given. This model has been extensively used in economics for relating optimum output of a production process with the available labor and services. This method is optimum in the sense it involves minimizing the error sum of squares for the linear regression of Y on X and e^-^@?^t over the range @?>0. The limits as @? -> 0 and @? -> ~ are obtained and the computational procedure is discussed.