In the expression $\operatorname { Pr } \left( Y = 1 \mid = \boldsymbol { \Phi } \left( \beta _ { 0 } + \beta _ { 1 } X \right) \right.$
A) $\left( \beta _ { 0 } + \beta _ { 1 } X \right)$ plays the role of z in the cumulative standard normal distribution function.
B) $\beta _ { 1 }$ cannot be negative since probabilities have to lie between 0 and 1 .
C) $\beta _ { 0 }$ cannot be negative since probabilities have to lie between 0 and 1 .
D) $\left( \beta _ { 0 } + \beta _ { 1 } X \right) 0$ since probabilities have to lie between 0 and 1 .

Question

In the expression $\operatorname { Pr } \left( Y = 1 \mid = \boldsymbol { \Phi } \left( \beta _ { 0 } + \beta _ { 1 } X \right) \right.$
A) $\left( \beta _ { 0 } + \beta _ { 1 } X \right)$ plays the role of  z  in the cumulative standard normal distribution function.
B)  $\beta _ { 1 }$ cannot be negative since probabilities have to lie between 0 and 1 .
C) $\beta _ { 0 }$ cannot be negative since probabilities have to lie between 0 and 1 .
D)  $\left( \beta _ { 0 } + \beta _ { 1 } X \right) > 0$  since probabilities have to lie between 0 and  1 .

Quizplus · Accepted Answer

The Answer of In the expression $\operatorname { Pr } \left( Y = 1 \mid = \boldsymbol { \Phi } \left( \beta _ { 0 } + \beta _ { 1 } X \right) \right.$
A) $\left( \beta _ { 0 } + \beta _ { 1 } X \right)$ plays the role of  z  in the cumulative standard normal distribution function.
B)  $\beta _ { 1 }$ cannot be negative since probabilities have to lie between 0 and 1 .
C) $\beta _ { 0 }$ cannot be negative since probabilities have to lie between 0 and 1 .
D)  $\left( \beta _ { 0 } + \beta _ { 1 } X \right) > 0$  since probabilities have to lie between 0 and  1 .

In the Expression Pr⁡(Y=1∣=Φ(β0+β1X)\operatorname { Pr } \left( Y = 1 \mid = \boldsymbol { \Phi } \left( \beta _ { 0 } + \beta _ { 1 } X \right) \right.Pr(Y=1∣=Φ(β0​+β1​X)

In the Expression $\operatorname { Pr } \left( Y = 1 \mid = \boldsymbol { \Phi } \left( \beta _ { 0 } + \beta _ { 1 } X \right) \right.$