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

question 138

Multiple Choice

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, which of the following is the correct expression for the estimated model?

• A)Y = -3.9594 + 0.0028 SAT + 0.1928 Toefl90
• B)Yˆ = - 3.9594 + 0.0028 S A T + 0.1928 T o e fl 90
• C)ln (od ds r a t io ) = - 3.95 94 + 0 .0 0 2 8 SA T + 0 .1 92 8 T o e f l 9 0
• D)ln (e s t im a te d o d d s r a t i o )=- 3.95 9 4 + 0.00 28 SA T + 0 .1 92 8 T oe fl 9 0

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Definitions:

Zygote

The initial cell formed when a new organism is produced by means of sexual reproduction, following the union of male and female gametes.

Dizygotic Twins

Also known as fraternal twins, these are produced from two separate eggs fertilized by two different sperm cells.

Fertilized

The penetration of an egg by sperm, initiating the development of a new organism.

Chromosomes

Thread-like structures located within the nucleus of animal and plant cells, made of protein and a single molecule of DNA, which carry genetic information.