MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:Consider a binary response variable y and two predictor variables x₁ and x2. The following table contains the parameter estimates of
the linear probability model (LPM) and the logistic regression model, with the associated p-values shown in parentheses.
Variable
Intercept
x1
x2
(0.07)
-0.10
(0.02) (0.01)
a. At the 5% significance level, comment on the significance of the variables for both models.
Variable
LPM
-0.40
(0.06)
0.36
X₁
X₂
(0.03)
-0.03
Logistic
-2.30
(0.03)
0.90
LPM
Logistic
Transcribed Image Text:b. What is the predicted probability implied by the linear probability model for x1 = 6 with x2 equal to 17 and 29?
Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability
between 0 and 1 (not in %).
X₁ = 6, x₂ = 17
x₁=6, x₂=29
c. What is the predicted probability implied by the logistic model for x₁ = 6 with x2 equal to 17 and 29?
Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability
between 0 and 1 (not in %).
x₁ = 6, X₂ = 17
= 6, x₂ = 29
9
x₁
9
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