A hospital administrator wished to develop a regression model for predicting the degree of long-term recovery after discharge from the hospital for severely injured patients. The predictor variable to be utilized is number of days of hospitalization (X), and the response variable is a prognostic index for long-term recovery (Y), with large values of the index reflecting a good prognosis. Hence, it was decided to investigate
the appropriateness of the two-parameter nonlinear exponential regression model.
Y, = Y exp (Y, X) + € In the estimation of Y and Y, which among the Least Squares Method and Gauss-
Newton Method is more appropriate? Justify your choice of method over the other.