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

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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: 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, what is the estimated probability that a school with an mean SAT score of 1100, a TOEFL criterion that is not at least 550, and the room and board expense of 7 thousand dollars will be a private school?
-Referring to Scenario 17-11, what is the estimated probability that a school with an mean SAT
score of 1100, a TOEFL criterion that is not at least 550, and the room and board expense of 7
thousand dollars will be a private school?


Definitions:

Product Differentiation

A marketing strategy that businesses use to distinguish their products from similar offerings on the market.

Purely Competitive

Description of a market structure where there are many buyers and sellers, products are homogeneous, and there are no barriers to entering or exiting the market.

Price Strategies

Various approaches businesses use to set prices for their products or services with the aim of maximizing profitability and market share.

Pure Competition

A market structure characterized by a large number of small firms, a homogeneous product, and free entry and exit, leading to price taking behavior.

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