SCENARIO 14-18
a Logistic Regression Model Was Estimated in Order

question 322

Short Answer

SCENARIO 14-18
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).
The PHStat output is given below:
Binary Logistic Regression $$\begin{array}{l}\begin{array} { l r r r r } \hline { \text { Predictor } } & \text { Coefficients } & \text { SE Coef } & { Z } & p \text {-Value } \\\hline \text { Intercept } & - 3.9594 & 1.6741 & - 2.3650 & 0.0180 \\\text { SAT } & 0.0028 & 0.0011 & 2.5459 & 0.0109 \\\text { Toefl90:1 } & 0.1928 & 0.5827 & 0.3309 & 0.7407\end{array}\\\\\begin{array} { l l } \text { Deviance } & 101.9826\end{array}\end{array}$$
-Referring to Scenario 14-18, what is the estimated probability that a school with a mean SAT
score of 1250 and a TOEFL criterion that is at least 90?

---

Definitions:

Clinical Setting

A healthcare environment where patient diagnosis, treatment, and care are provided, such as hospitals or clinics.

Cultural Adaptations

The process by which individuals or groups adjust and change their behaviors, practices, and beliefs to fit the cultural context or society they are part of or entering.

Psychiatric Hospital

A specialized medical facility dedicated to the diagnosis, treatment, and care of individuals with mental illnesses.

Dialectical Behavior Therapy

A form of psychotherapy that combines behavioral techniques with concepts of mindfulness and acceptance, primarily used for treating borderline personality disorder.