In the following regression equation, y is a binary variable: 𝑦 = 𝛽 0 + 𝛽 1 𝑥 1 + . . . + 𝛽 𝑘 𝑥 𝑘 + 𝑢 Notice that 𝑃 ( 𝑦 = 1 | 𝑥 ) = 𝐸 ( 𝑦 | 𝑥 ) where 𝑃 ( 𝑋 ) stands for probability of event X occurring So, 𝑃 ( 𝑦 = 1 | 𝑥 ) = 𝛽 ^ 0 + 𝛽 ^ 𝑥 1 + . . . + 𝛽 ^ 𝑥 𝑘 In this case, the estimated slope coefficient  𝛽 1 ^  measures _____.  单项选择题

A

the predicted change in the value of y when x1 increases by one unit, everything else remaining constant

B

the predicted change in the value of y when x1 decreases by one unit, everything else remaining constant

C

the predicted change in the probability of success when x1 increases by one unit, everything else remaining constant

D

the predicted change in the probability of failure when x1 increases by one unit, everything else remaining constant

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类似问题

In the following regression equation, y is a binary variable: 𝑦 = 𝛽 0 + 𝛽 1 𝑥 1 + . . . + 𝛽 𝑘 𝑥 𝑘 + 𝑢 Notice that 𝑃 ( 𝑦 = 1 | 𝑥 ) = 𝐸 ( 𝑦 | 𝑥 ) where 𝑃 ( 𝑋 ) stands for probability of event X occurring So, 𝑃 ( 𝑦 = 1 | 𝑥 ) = 𝛽 ^ 0 + 𝛽 ^ 𝑥 1 + . . . + 𝛽 ^ 𝑥 𝑘 In this case, the estimated slope coefficient  𝛽 1 ^  measures _____.  

In the following regression equation, y is a binary variable: y=β0+β1x1+...+βkxk+u Notice that P(y=1|x)=E(y|x) where P(X) stands for probability of event X occurring So, P(y=1|x)= ˆ β 0+ ˆ β x1+...+ ˆ β xk In this case, the estimated slope coefficient  ^ β1  measures _____.  

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