The population logit model of the binary dependent variable Y with a single regressor is
Pr(Y=1 X1)=
.
Logistic functions also play a role in econometrics when the dependent variable is not a binary variable.For example,the demand for televisions sets per household may be a function of income,but there is a saturation or satiation level per household,so that a linear specification may not be appropriate.Given the regression model
Yi = + ui,
sketch the regression line.How would you go about estimating the coefficients?
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