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(β₀ + β₁X₁ ₊ β₂X₂ + ...+ βkXk)

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

C) $\frac{p}{1-p}$

D) ${ \frac { \sum _ { i = 1 } ^ { n } B_{i} X _ { i } } { p } }$

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(β₀ + β₁X₁ ₊ β₂X₂ + ...+ βkXk)

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

C) $\frac{p}{1-p}$

D) ${ \frac { \sum _ { i = 1 } ^ { n }  B_{i} X _ { i }   } { p } }$

Quizplus · Accepted Answer

The odds of belonging to category 1(Y = 1) is defined as the ratio of the probability of Y=1 to the probability of Y=0, which can be expressed as p/(1-p). None of the other options provide a correct definition of the odds ratio.

When Using Logistic Regression, Where P Being the Probability That p1+kk−β0+β1X1+β2X2+…+βkXk\frac{p}{1+k_{k}-\beta 0+\beta_{1} X_{1}+\beta_{2} X_{2}+\ldots+\beta_{k} X_{k}}1+kk​−β0+β1​X1​+β2​X2​+…+βk​Xk​p​

When Using Logistic Regression, Where P Being the Probability That $\frac{p}{1+k_{k}-\beta 0+\beta_{1} X_{1}+\beta_{2} X_{2}+\ldots+\beta_{k} X_{k}}$