VariableInterceptx1X2VariableX₁X2LPM-0.30(0.03)0.27(0.06)-0.05(0.02)a. At the 5% significance level, comment on the significance of the variables for bothmodels.x₁ = 10, X₂ = 14x₁ = 10, X₂= 25Logistic-2.50(0.03)x₁ = 10, x₂ = 14X₁ = 10, x₂ = 25LPMNot significantSignificant1.03(0.07)b. What is the predicted probability implied by the linear probability model for x₁ = 10with x2 equal to 14 and 25?Note: Round intermediate calculations to at least 4 decimal places and finalanswers to 2 decimal places. Report the probability between 0 and 1 (not in %).ŷ-0.30(0.01)уLogisticNot significantSignificantWhat is the predicted probability implied by the logistic model for x₁ = 10 with x2 equalto 14 and 25?Note: Round intermediate calculations to at least 4 decimal places and finalanswers to 2 decimal places. Report the probability between 0 and 1 (not in %).

The output for the linear probability model and the logistic regression model is given.

Answered: Variable Intercept x1 X2 Variable a. At…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Table 4.18 shows estimated effects for a fitted logistic regression model with squamous cell esophageal cancer (1 = yes, 0 = no) as the response variable Y. Smoking status (S) equals 1 for at least one pack per day and 0 other- wise, alcohol consumption (A) equals the average number of alcoholic drinks consumed per day, and race (R) equals 1 for blacks and 0 for whites. A. To describe the race-by-smoking interaction, construct the prediction equation when R = 1 and again when R = 0. Find the fitted YS conditional odds ratio for each case. Similarly, construct the prediction equation when S = 1 and again when S = 0. Find the fitted YR conditional odds ratio for each case. Note that, for each association, the coefficient of the cross-product term is the difference between the log odds ratios at the two fixed levels for the other variable. B. In Table 4.18, explain what the coefficients of R and S represent, for the coding as given above. What hypotheses do the P -values refer to for…
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