A professor is trying to determine the likelihood of a student passing a statistics course (binary response variable y =
Posted: Wed May 11, 2022 3:41 pm
A professor is trying to determine the likelihood of a student passing a statistics course (binary response variable y =1 if the student passes) given the number of hours studied in a week (x1) and the number of hours playing video games in a week (x2). The following table contains the parameter estimates of the linear probability regression model (LPM) and the logistic regression model, with the associated p-values shown in parentheses Variable Intercept X1 LPM -0.50 (0.02) 0.26 (0.06) -0.06 (0.01) Logistic -1.90 (0.06) 0.99 (0.06) -0.30 (0.04) X2 a. What is the predicted probability of passing the class implied by the linear probability model for x1 = 8 with X2 equal to 10 and 25? (Round Intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Do not adjust your answer if it is greater than 1 or less than 0.) x1 = 8, X2 = 10 *1 = 8, X2 = 25 b. What is the predicted probability of passing the class implied by the logistic model for x1 = 8 with X2 equal to 10 and 25? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) 9 *4 = 8, X2 = 10 x1 = 8, X2 = 25