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

question 370

True/False

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  Predictor  Coefficients  SE Coef Zp-Value  Intercept 3.95941.67412.36500.0180 SAT 0.00280.00112.54590.0109 Toefl90:1 0.19280.58270.33090.7407 Deviance 101.9826\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, there is not enough evidence to conclude that the
model is not a good-fitting model at a 0.05 level of significance.


Definitions:

Teamwork

The collaborative effort of a group to achieve a common goal effectively by working together cohesively.

Self-fulfilling Prophecy

A prediction that directly or indirectly causes itself to become true due to positive feedback between belief and behavior.

Cognitive Dissonance

The mental discomfort experienced by an individual who holds two or more contradictory beliefs, ideas, or values at the same time, leading to a motivation for change.

IQ Scores

Numerical measurements that represent an individual's level of intelligence as compared with the statistical norm.

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