Binary Dependent Variable Example. We will see that in such models the regression function can be interpreted as a conditional probability function of the binary dependent variable. We will now discuss the case with a binary dependent variable We know that the expected value of a binary variable Y is E Y 1 PrY 1 0 PrY 0 PrY 1 In the multiple regression model with a binary dependent variable we have E Y ijX 1i.
Binary Dependent Variables I Outcome can be coded 1 or 0 yes or no approved or denied success or failure Examples.
For example if X_k is GPA and Y_i is the probability of admission to graduate school then mfxX_k is the change in the predicted probability of admission to graduate school as GPA increases by 1 unit. Labor force participation of married women 1 if in labor force 0 otherwise Non-wife income in thousand dollars per year If the number of kids under six years increases by one the pro-probability that the woman works falls by 262 Binary dependent variableExample-1. We want to know the probability that 1 when 1 04 Then 2 3. That influence whether a political candidate wins an election.
