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
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
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