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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 x₁ = 4, X₂ = 17 x₁ = 4, X₂= 20 LPM -0.30 (0.02) 0.39 (0.03) -0.03 (0.02) a. What is the predicted probability implied by the linear probability model for x₁ = 4 with x2 equal to 17-and 20?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 = 4, X₂ = 17 x₁ = 4, X2= 20 Logistic -1.80 (0.06) 0.97 (0.07) -0.20 (0.06) ŷ b. What is the predicted probability implied by the logistic model for x₁ = 4 with x2 equal to 17 and 20? 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 %). ŷ

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 x₁ = 4, X₂ = 17 x₁ = 4, X₂= 20 LPM -0.30 (0.02) 0.39 (0.03) -0.03 (0.02) a. What is the predicted probability implied by the linear probability model for x₁ = 4 with x2 equal to 17-and 20?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 = 4, X₂ = 17 x₁ = 4, X2= 20 Logistic -1.80 (0.06) 0.97 (0.07) -0.20 (0.06) ŷ b. What is the predicted probability implied by the logistic model for x₁ = 4 with x2 equal to 17 and 20? 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 %). ŷ

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 4EA: EXERCISES The following table gives the life expectancy at birth of females born in the United...
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Exercise 9-3 Algo 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 x₁ = 4; X₂ = 17 x₁ = 4, X₂= 20 LPM -0.30 (0.02) 0.39 (0.03) -0.03 (0.02) Logistic -1.80 (0.06) 0.97 (0.07) a. What is the predicted probability implied by the linear probability model for x1 = 4 with x2 equal to 17-and 20?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 = 4, X₂ = 17 x₁ = 4, X₂= 20 ŷ -0.20 (0.06) b. What is the predicted probability implied by the logistic model for x₁ = 4 with x2 equal to 17 and 20? 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 %). ŷ
Transcribed Image Text:Exercise 9-3 Algo 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 x₁ = 4; X₂ = 17 x₁ = 4, X₂= 20 LPM -0.30 (0.02) 0.39 (0.03) -0.03 (0.02) Logistic -1.80 (0.06) 0.97 (0.07) a. What is the predicted probability implied by the linear probability model for x1 = 4 with x2 equal to 17-and 20?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 = 4, X₂ = 17 x₁ = 4, X₂= 20 ŷ -0.20 (0.06) b. What is the predicted probability implied by the logistic model for x₁ = 4 with x2 equal to 17 and 20? 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 %). ŷ
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