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

question 263

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 probability that a school with a meanSAT score of 1100 and a TOEFL criterion that is not at least 90?

---

Definitions:

Ecstasy

A psychoactive drug known for its stimulant and hallucinogenic effects, commonly used recreationally.

Brain Damage

Physical harm to the brain that impairs its function, which can be caused by injury, disease, or a medical condition.

Teeth-Grinding

The clenching or grinding of teeth, often unconsciously, which can lead to dental damage and other health issues.

Cardiac Problems

A wide range of conditions affecting the heart, including coronary artery disease, arrhythmias, heart failure, and valvular heart disease.