Consider a binary response variable y and two explanatory variables x1 and x2. The following table contains the parameter estimates of the linear probability model (LPM) and the logit model, with the associated p-values shown in parentheses. Variable LPM Logit -1.50 Constant -0.30 0.02 (0.03) X1 0.35 0.86 (0.03) -0.03 (0.06) (0.04) X2 -0.20 (0.03) a. At the 5% significance level, comment on the significance of the variables for both models. Variable LPM Significant Significant Logit Significant Significant X1 X2 b. What is the predicted probability implied by the linear probability model for x = 5 with x2 equal to 19 and 22? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) X1 = 5, x2 - 19 X1 - 5, x2 = 22 c. What is the predicted probability implied by the logit model for x = 5 with x2 equal to 19 and 22? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) X1- 5, x2 - 19 X1 5, x2 = 22

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
icon
Related questions
Question
Consider a binary response variable y and two explanatory variables x1 and x2. The following table contains the parameter estimates
of the linear probability model (LPM) and the logit model, with the associated p-values shown in parentheses.
Logit
-1.50
(0.03)
0.86
(0.04)
-0.20
(0.03)
LPM
-0.30
Variable
Constant
0.02
0.35
(0.03)
-0.03
(0.06)
X1
X2
a. At the 5% significance level, comment on the significance of the variables for both models.
Logit
Significant
Significant
Variable
LPM
Significant
Significant
x2
b. What is the predicted probability implied by the linear probability model for x = 5 with x) equal to 19 and 22? (Round intermediate
calculations to at least 4 decimal places and final answers to 2 decimal places.)
X1 = 5, x = 19
X1 = 5, x5 = 22
c. What is the predicted probability implied by the logit model for x = 5 with x2 equal to 19 and 22? (Round intermediate calculations
to at least 4 decimal places and final answers to 2 decimal places.)
5, X2
= 19.
X1
5, X2 = 22
Transcribed Image Text:Consider a binary response variable y and two explanatory variables x1 and x2. The following table contains the parameter estimates of the linear probability model (LPM) and the logit model, with the associated p-values shown in parentheses. Logit -1.50 (0.03) 0.86 (0.04) -0.20 (0.03) LPM -0.30 Variable Constant 0.02 0.35 (0.03) -0.03 (0.06) X1 X2 a. At the 5% significance level, comment on the significance of the variables for both models. Logit Significant Significant Variable LPM Significant Significant x2 b. What is the predicted probability implied by the linear probability model for x = 5 with x) equal to 19 and 22? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) X1 = 5, x = 19 X1 = 5, x5 = 22 c. What is the predicted probability implied by the logit model for x = 5 with x2 equal to 19 and 22? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) 5, X2 = 19. X1 5, X2 = 22
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill