6. The following two regression models are Probit and Logit respectively: Pr(Y=1|X)= Pr(Y=1|X)=F(B+B (Bu + B₁ x X₁ + B₂ x X2) xXr+ B₂ × X2) (a) what functions do and F represent? (b) How do Probit and Logit ensure that the predicted probabilities are always between 0 and 1?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4: Estimating Demand
Section: Chapter Questions
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6. The following two regression models are Probit and Logit respectively:
Pr(Y=1|X)=(Bo+Bi xXr+Bzx X2)
Pr(Y=1|X)=F(Bu + B₁ × Xs + B₂ × X2)
(a) what functions do and F represent?
(b) How do Probit, and Logit ensure that the predicted probabilities are always between 0 and 1?
(c) Sketch a graph of the Y= $(Z) function. (Z on the horizontal axis, Y on the vertical axis)
(d) What estimation method is used to estimate the coefficients in a Probit/Logit model?
(e) What are the two measures of fit for models with binary dependent variables?
Focus
88
B
E
Transcribed Image Text:Styles 6. The following two regression models are Probit and Logit respectively: Pr(Y=1|X)=(Bo+Bi xXr+Bzx X2) Pr(Y=1|X)=F(Bu + B₁ × Xs + B₂ × X2) (a) what functions do and F represent? (b) How do Probit, and Logit ensure that the predicted probabilities are always between 0 and 1? (c) Sketch a graph of the Y= $(Z) function. (Z on the horizontal axis, Y on the vertical axis) (d) What estimation method is used to estimate the coefficients in a Probit/Logit model? (e) What are the two measures of fit for models with binary dependent variables? Focus 88 B E
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