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:

Rational Persuasion

The use of logical arguments and factual evidence to convince someone of a viewpoint.

Emergent Leader

An individual who naturally takes on a leadership role within a group, often recognized through their actions or influence rather than formal appointment.

Demonstrated Competence

Evidence of an individual's or organization's ability to perform effectively based on past actions and achievements.

Social Popularity

The condition of being liked, admired, or supported by a large number of people within a social context or community.