In the expression Pr(Y = 1 = Φ(β0 + β1X),
A)(β0 + β1
X)plays the role of z in the cumulative standard normal distribution function.
B)β1 cannot be negative since probabilities have to lie between 0 and 1.
C)β0 cannot be negative since probabilities have to lie between 0 and 1.
D)min (β0 + β1
X) 0 since probabilities have to lie between 0 and 1.

Question

In the expression Pr(Y = 1  = Φ(β0 + β1X),
A)(β0 + β1
X)plays the role of z in the cumulative standard normal distribution function. 
B)β1 cannot be negative since probabilities have to lie between 0 and 1. 
C)β0 cannot be negative since probabilities have to lie between 0 and 1. 
D)min (β0 + β1
X)> 0 since probabilities have to lie between 0 and 1.

Quizplus · Accepted Answer

The expression Pr(Y = 1 | X = x) is the probability of Y being 1 given the value of X is x. This probability can be written in terms of Φ(β0 + β1X), which is the cumulative standard normal distribution function. In this case, (β0 + β1X) plays the role of z in the cumulative standard normal distribution function.

In the Expression Pr(Y = 1 = Φ(β0