SCENARIO 18-11 a Logistic Regression Model Was Estimated in Order

question 250

Multiple Choice

SCENARIO 18-11 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 18-11, 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.

---

Definitions:

Marginal Utilities

The increased happiness or advantage gained by a consumer from consuming an extra unit of a good or service.

Maximum Utility

The greatest level of satisfaction or benefit that a consumer can obtain from consuming goods and services.

Pocket Money

A small amount of money given to children by parents as an allowance or for completing tasks, which can be used for personal expenses.

MU y/ Pᵧ

The ratio of the marginal utility of good Y (MUy) to its price (Pᵧ), indicating the additional satisfaction per unit of currency spent.