SCENARIO 13-18
a Logistic Regression Model Was Estimated in Order

question 132

Short Answer

SCENARIO 13-18
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 and whether the TOEFL criterion is at least 90 (Toefl90 = 1 if yes, 0 otherwise.) The dependent variable, Y, is school type (Type = 1 if private and 0 otherwise).There are 80 universities in the sample.
The PHStat output is given below:
Binary Logistic Regression $$\begin{array}{l}\begin{array} { l r r r r } \hline { \text { Predictor } } & \text { Coefficients } & \text { SE Coef } &{ Z } & p \text {-Value } \\\hline \text { Intercept } & - 3.9594 & 1.6741 & - 2.3650 & 0.0180 \\\text { SAT } & 0.0028 & 0.0011 & 2.5459 & 0.0109 \\\text { Toefl90:1 } & 0.1928 & 0.5827 & 0.3309 & 0.7407\\\text { Deviance } & 101.9826\\\end{array}\\\end{array}$$
-Referring to SCENARIO 13-18, what are the degrees of freedom for the chi-square distribution when testing whether the model is a good-fitting model?

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Definitions:

Nonionic Solids

Substances that consist of molecules bound together by covalent bonds rather than ionic bonds, lacking charge separation.

Dissociate

To separate or remove from association; in chemistry, it refers to the reversible separation of molecules into smaller particles.

Buffers

Chemical substances that help maintain the stability of pH levels in solutions by neutralizing the effects of acids and bases.

Covalent Bonds

Chemical connections where two atoms share electrons mutually, contributing to the formation and structure of molecules.