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:

Long-Term Memory Loss

A condition that affects the ability to recall events, information, or experiences from the distant past.

Paranoia

A mental condition characterized by delusions of persecution, unwarranted jealousy, or exaggerated self-importance, often disconnected from reality.

Credit Score

A numerical expression based on a level analysis of a person's credit files, representing the creditworthiness of an individual.

Interest Rate

The percentage of a sum of money charged by a lender to a borrower for the use of the money.