Explanation Calculation: The given data relates the probability of passing freshman English to high school GPA. Logistic regression: The logistic regression equation for the prediction of a probability for the given value of the explanatory variable, x , is p ^ = e a + b x 1 + e a + b x , for constants a and b . For the logistic regression, y ′ = ln ( p 1 − p ) has a linear relationship with x , by the relation: y ′ = a + b x . Here, the values of x and y ′ = ln ( p 1 − p ) are given. Regression equation: Software procedure: Step by step procedure to obtain the regression equation using the MINITAB software: Choose Stat > Regression > Regression > Fit Regression Model . Enter the column of y under Responses . Enter the columns of x under Continuous predictors . Choose Results and select Model Summary , Coefficients , Regression Equation . Click OK in all dialogue boxes. Output obtained using MINITAB is given below: Thus, the linear relationship is y ′ = 26.42 − 9.29 x . As a result, the logistic regression equation is p ^ = e 26

Introduction to Statistics and Data Analysis

5th Edition

ISBN: 9781305445963

Author: PECK

Publisher: Cengage

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Chapter 5, Problem 69E

To determine

Obtain the logistic regression equation for the given data.

Predict the probability of passing freshman English for a high school GPA of 2.2.

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Chapter 5, Problem 68E

Chapter 5, Problem 70E

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Introduction to Statistics and Data Analysis

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Obtain the logistic regression equation for the given data. Predict the probability of passing freshman English for a high school GPA of 2.2.

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