Logistic Regression

What is the range of values of a logistic function?

• $\infty\ -\ \left(-\infty\right)$

• 0 - 1

Logistic regression a supervised machine learning algorithm

• True

• False

Logistic regression mainly used for Regression

• True

• False

What are odds?

• It is the ratio of the probability of an event occurring to the probability of the event not occurring.

• It is the ratio of the probability of an event occurring to the probability of the sum of all events.

• It is the ratio of the probability of an event not occurring to the probability of the event occurring.

• It is the ratio of the probability of an event not occurring to the probability of the event not occurring.

What is a logistic function?

• $f(z)=1/(1+e^{-z})$

• $f(z)=1/(1+e^z)$

• $f(z)=1/(1+e^{-z})+1/(1+e^{-z})$

• $1/(1+e^{-z})-\ 1/(1+e^{-z})$

Suppose you have been given a fair coin and you want to find out the odds of getting heads. Which of the following option is true for such a case?

• odds will be 0

• odds will be 0.5

• odds will be 1

• None of these

The logit function(given as l(x)) is the log of odds function. What could be the range of logit function in the domain x=[0,1]?

• (– ∞ , ∞)

• (0,1)

• (0, ∞)

• (- ∞, 0)

Below are the three scatter plot(A,B,C left to right) and hand drawn decision boundaries for logistic regression.

• Which of the following above figure shows that the decision boundary is overfitting the training data?

• A

• B

• C

• No overfitting