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

question 383

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, which of the following is the correct expression for the estimated model? a) $Y = - 3.9594 + 0.0028 S A T + 0.1928$ Toef 190
b) $\hat { Y } = - 3.9594 + 0.0028 S A T + 0.1928$ Toefl 90
c) $\ln ($ odds ratio $) = - 3.9594 + 0.0028 S A T + 0.1928$ Toefl 90
d) $\ln ($ estimated odds ratio $) = - 3.9594 + 0.0028$ SAT $+ 0.1928$ Toefl 90

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Definitions:

Institutional Racism

Systemic policies, practices, and procedures within institutions that disproportionately disadvantage certain racial or ethnic groups.

Oppression

A system of power and domination that disadvantages a group through unjust treatment, discrimination, and inequality.

Crenshaw

Refers to Kimberlé Crenshaw, an American scholar known for developing the concept of intersectionality, which examines how various social and biological categories like race, gender, and class intersect and impact lives.

Sociological

Pertains to the study of society, its institutions, and the relationships and interactions of individuals within those societal structures.