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 regressionNumber 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.zP>|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?