In logistic regression, which of the following statements about probability, odds, and log odds is true?
A) Probability, odds, and log odds can all be computed from the regression line.
B) Probability, odds, and log odds all have the same range of possible values.
C) Probability, odds, and log odds are all assumed to have a linear relationship with the independent variables.
D) Probability, odds, and log odds are all measured on the same scale.

Question

Quizplus · Accepted Answer

In logistic regression, the probability of the dependent variable being a certain value (usually 1) is modeled using the logistic function. The odds are the ratio of the probability of the event occurring to the probability of the event not occurring, and log odds (or the logit function) is the natural logarithm of the odds. These can all be derived from the regression coefficients (the regression line in a conceptual sense), but they do not share the same range of values, are not assumed to have a linear relationship with the independent variables (the relationship is logistic), and are not measured on the same scale.

In Logistic Regression, Which of the Following Statements About Probability