Question

A logistic regression model was estimated in order to predict the probability that a randomly chosen university or college would be a private university using information on mean total Scholastic Aptitude Test score (SAT) at the university or college and whether the TOEFL criterion is at least 90 (Toefl90 = 1 if yes, 0 otherwise.) The dependent variable, Y, is school type (Type = 1 if private and 0 otherwise).

37) Referring to Scenario 14-18, which of the following is the correct expression for the estimated model? 37) _____

A) 1n(estimated odds ratio) = -3.9594 + 0.0028 SAT + 0.1928 Toefl90 B) 1n(odds ratio) = -3.9594 + 0.0028 SAT + 0.1928 Toefl90 C) Y = -3.9594 + 0.0028 SAT + 0.1928 Toefl90 D) = -3.9594 + 0.0028 SAT + 0.1928 Toefl90

The PHStat output is given below: Binary Logistic Regression Predictor Coefficients SE p-Value Coef -2.3650 0.0180 Intercept -3.9594 1.6741 SAT 0.0028 0.0011 2.5459 0.0109 0.3309 Toefl90:1 0.1928 0.5827 0.7407 Deviance 101.9826

Answer 1

from the given output

the value of y intercept is -3.9594

the value of the coefficient of SAT = 0.0028

the value of the coefficient of Torfl 90 is 0.1928

so option A is true

A) 1n(estimated odds ratio) = -3.9594 + 0.0028 SAT + 0.1928 Toefl90