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

question 223

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 is a private one with a mean SAT score of 1250 and a TOEFL criterion that is at least 90?

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Definitions:

Toxic Substances

Chemicals or mixtures that can cause harm or danger to organisms, the environment, or both when released or exposed in significant quantities.

Fly Ash

A fine powder that is a byproduct of burning pulverized coal in electric generation power plants, which can be used as a pozzolan in concrete production.

Hazardous Wastes

Materials considered dangerous to humans or the environment due to their toxic, corrosive, or otherwise harmful properties, requiring special disposal methods to mitigate these risks.

Taxpayers

Individuals or entities that are required to pay taxes to a governing body, contributing to public revenue for governmental spending.