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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, what is the p-value of the test statistic when testing whether the model is a good-fitting model?
-Referring to Table 14-18, what is the p-value of the test statistic when testing whether the model is a good-fitting model?


Definitions:

Standard Error

The typical deviation found within the distribution of samples for a statistic, usually referring to the mean.

Independent Samples

Independent samples refer to two or more groups of data that are collected from separate, non-overlapping populations, ensuring they are not influenced by each other.

Normal Populations

The term "normal populations" relates to groups or sets of entities that exhibit characteristics distributed according to a normal (Gaussian) distribution.

Sampling Distribution

The likelihood distribution of a specific statistic derived from a random sample, which is utilized to draw conclusions about the broader population that the sample represents.

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