SCENARIO 13-18
a Logistic Regression Model Was Estimated in Order

question 138

Multiple Choice

SCENARIO 13-18
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) .There are 80 universities in the sample.
The PHStat output is given below:
Binary Logistic Regression $$\begin{array}{l}\begin{array} { l r r r r } \hline { \text { Predictor } } & \text { Coefficients } & \text { SE Coef } &{ Z } & p \text {-Value } \\\hline \text { Intercept } & - 3.9594 & 1.6741 & - 2.3650 & 0.0180 \\\text { SAT } & 0.0028 & 0.0011 & 2.5459 & 0.0109 \\\text { Toefl90:1 } & 0.1928 & 0.5827 & 0.3309 & 0.7407\\\text { Deviance } & 101.9826\\\end{array}\\\end{array}$$
-Referring to SCENARIO 13-18, which of the following is the correct expression for the estimated model?

• A)Y = -3.9594 + 0.0028 SAT + 0.1928 Toefl90
• B)Yˆ = - 3.9594 + 0.0028 S A T + 0.1928 T o e fl 90
• C)ln (od ds r a t io ) = - 3.95 94 + 0 .0 0 2 8 SA T + 0 .1 92 8 T o e f l 9 0
• D)ln (e s t im a te d o d d s r a t i o )=- 3.95 9 4 + 0.00 28 SA T + 0 .1 92 8 T oe fl 9 0