SCENARIO 17-11
a Logistic Regression Model Was Estimated in Order $Y = - 27.118 + 0.015$

question 341

Short Answer

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 expression for the estimated model? a) $Y = - 27.118 + 0.015$ SAT $- 0.390$ Toefl $550 + 2.078$ Room / Brd
b) $\hat { Y } = - 27.118 + 0.015 \mathrm { SAT } - 0.390$ Toefl550 $+ 2.078 \mathrm { Room } / \mathrm { Brd }$
c) $\ln ($ odds ratio $) = - 27.118 + 0.015$ SAT $- 0.390$ Toefl $550 + 2.078 \mathrm { Room } / \mathrm { Brd }$
d) $\ln ($ estimated odds ratio $) = - 27.118 + 0.015$ SAT $- 0.390$ Toefl $550 + 2.078 \mathrm { Room } / \mathrm { Brd }$

---

Definitions:

Hockey Team

A group of players participating in the sport of hockey, where each member has a specific role, such as forward, defenseman, or goalie, contributing to the team's attempts to win matches.

Z-score

A statistical measure representing the number of standard deviations a data point is from the mean of a distribution.

Standard Deviation

An indicator that calculates the degree to which data points vary or are spread out in a dataset.

IQR

The interquartile range, a measure of variability, expressed as the difference between the 25th and 75th percentiles of the data.