Regression equation for Simple Binary Logistic Regression

For binary logistic regression, Minitab shows two types of regression equations. The first equation relates the probability of the event to the response. The second equation relates the predictors to the response.

Interpretation

Use the equations to examine the relationship between the response and the predictor variables.

For example, a model uses the dose of a medicine to predict the event that a type of bacteria is not present in a patient. The first equation shows the relationship between the probability and the transformed response because of the logit link function. The second equation shows how dose relates to the transformed response. Because the coefficient for dose is positive, when the dose is higher, the bacteria is less likely to be present.
 Regression Equation
 P(No bacteria) = exp(Y')/(1 + exp(Y')) Y' = −5.247 + 3.626 Dose (mg)
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