A logistic regression on whether a candidate is admitted to a graduate program based on the candidate's GRE score, the candidate's undergraduate GPA, and the candidate's rank in their graduating class (4 categories where 1 is the highest rank and 4 is the lowest rank).Please note: I added odds ratios to the right side of the output so that you have both the coefficient and the odds ratio for each covariate.

Logistic regression Number of obs=400

LR chi2(5)=41.46

Prob > chi2=0.0000

Log likelihood = -229.25875Pseudo R2=0.0829

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admit |Coef. Std. Err.z P>|z|[95% Conf. Interval]

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gre |.0022644.0010942.070.038.0001202.0044086OR=1.002267

gpa |.8040377.33181932.420.015.15368381.454392OR=2.234545

rank |

2|-.6754429.3164897-2.130.033-1.295751-.0551346OR=0.508931

3|-1.340204.3453064-3.880.000-2.016992-.6634158OR=0.261792

4|-1.551464.4178316 -3.710.000-2.370399-.7325287OR=0.211937

|

_cons |-3.9899791.139951-3.500.000-6.224242-1.755717Odds=0.018500

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1.What is the interpretation of the association of the GRE with the likelihood of being admitted to the graduate program?

2.Compared to the persons who have an average GPA of 2.5, by what factor are the odds of being admitted increased for persons who have an average GOA of 4.0?

3.What is the predicted probability of admission for a student who scores 600 on the GRE, has a GPA of 3.30, and is in ranking number 2?