SCENARIO 17-11 A Logistic Regression Model Was Estimated in Order to Predict

SCENARIO 17-11
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, the room and board expense measured in
thousands of dollars (Room/Brd) , and whether the TOEFL criterion is at least 550 (Toefl550 = 1 if
yes, 0 otherwise.) The dependent variable, Y, is school type (Type = 1 if private and 0 otherwise) .
The Minitab output is given below:
-Referring to Scenario 17-11, which of the following is the correct interpretation for the Tofel500 slope coefficient?

A) Holding constant the effect of the other variables, the estimated mean value of school type is 0.39 lower when the school has a TOEFL criterion that is at least 550.
B) Holding constant the effect of the other variables, the estimated school type decreases by 0.39 when the school has a TOEFL criterion that is at least 550.
C) Holding constant the effect of the other variables, the estimated natural logarithm of the odds ratio of the school being a private school is 0.39 lower for a school that has a
TOEFL criterion that is at least 550 than one that does not.
D) Holding constant the effect of the other variables, the estimated probability of the school being a private school is 0.39 lower for a school that has a TOEFL criterion that is at least
550 than one that does not.

Correct Answer:

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