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

question 95

Short Answer

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, what is the estimated odds ratio for a school with a mean SATscore of 1250 and a TOEFL criterion that is at least 90?

---

Definitions:

Life Stress Theory

A concept in psychology that suggests that life stressors, both major and minor, can lead to psychological disorders if not managed properly.

Menial Jobs

Jobs that require minimal training and are often characterized by low pay and status; tasks are usually routine and require little to no skill.

Discrimination

is the unjust or prejudicial treatment of different categories of people, often based on race, age, sex, or disability.

Cognitive Triad

A cognitive-therapeutic view of the three key elements of a person's belief system that contribute to their depression: negative thoughts about the self, the world, and the future.