When using logistic regression, where p being the probability that the dependent variable Y = 1, X1, X2 ..., Xk are the independent variables, and β0, β1, β2 ..., βk are unknown regression coefficients, is called the odds of belonging to category 1(Y = 1).
A) $ p\left(\beta_{0}+\beta_{1} X_{1}+\beta_{2} X_{2}+\ldots+\beta_{k} X_{k}\right) $

B) $ \frac{p}{1+k_{k}-\beta 0+\beta_{1} X_{1}+\beta_{2} X_{2}+\ldots+\beta_{k} X_{k}} $

C) $ \frac{p}{1-p} $
$ \Sigma \beta_{i} X_{i} $

D) $ \frac{i=1}{p} $

Question

When using logistic regression, where p being the probability that the dependent variable Y = 1, X1, X2 ..., Xk are the independent variables, and β0, β1, β2 ..., βk are unknown regression coefficients, is called the odds of belonging to category 1(Y = 1). 
A) $ p\left(\beta_{0}+\beta_{1} X_{1}+\beta_{2} X_{2}+\ldots+\beta_{k} X_{k}\right) $

B) $ \frac{p}{1+k_{k}-\beta 0+\beta_{1} X_{1}+\beta_{2} X_{2}+\ldots+\beta_{k} X_{k}} $

C) $ \frac{p}{1-p} $
$ \Sigma \beta_{i} X_{i} $

D) $ \frac{i=1}{p} $

Quizplus · Accepted Answer

The odds of an event occurring is defined as the probability of the event occurring divided by the probability of the event not occurring, which is represented by $ \frac{p}{1-p} $.

When Using Logistic Regression, Where P Being the Probability That p(β0+β1X1+β2X2+…+βkXk) p\left(\beta_{0}+\beta_{1} X_{1}+\beta_{2} X_{2}+\ldots+\beta_{k} X_{k}\right) p(β0​+β1​X1​+β2​X2​+…+βk​Xk​)

When Using Logistic Regression, Where P Being the Probability That $p\left(\beta_{0}+\beta_{1} X_{1}+\beta_{2} X_{2}+\ldots+\beta_{k} X_{k}\right)$