Which of the following characteristics is/are true about the distribution of the response variable in a logistic regression model?

(Check all that apply.)

It is a Bernoulli distribution

It can be any distribution over the interval (0,1).

It can be any distribution from the exponential family.

It is a distribution from the canonical exponential family.

In the logistic regression model, which of the following is the canonical link function?

the logistic function

the probit link function

In the logistic regression model, the maximum likelihood estimator is always unique.

True

False

1 answer

The correct answers are:

- It can be any distribution from the exponential family.
- It is a distribution from the canonical exponential family.
- The logistic function is the canonical link function.
- The statement "the maximum likelihood estimator is always unique" is false.