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TABLE 14-18 A Logistic Regression Model Was Estimated in Order to Predict

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TABLE 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, 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: TABLE 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, 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 Table 14-18, the null hypothesis that the model is a good-fitting model cannot be rejected when allowing for a 5% probability of making a type I error.
-Referring to Table 14-18, the null hypothesis that the model is a good-fitting model cannot be rejected when allowing for a 5% probability of making a type I error.


Definitions:

Interact

To act in such a way as to have an effect on another; in statistical terms, it often refers to variables that affect each other’s outcomes.

Two-way ANOVA

An analytical method used to evaluate how two categorical variables influence a continuous dependent variable.

Treatments

A specific procedure or regimen administered to participants in a scientific study to assess its efficacy or impact.

Randomized Block Design

A statistical experimental design that groups subjects into blocks to account for variability among them and randomly assigns treatments within each block.

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