Question

The likelihood the student will return to school:

1. Interpret the coefficient and odds ratio for the variable GPA:

For return odds 1 versus 0:

Coeffcient is : 1.17932127

Odds ratio is : 3.252166

2. Interpret the coefficient and odds ratio for the variable Attends office hours  

Coefficient: -0.0976308

Odds ratio: 0.9069837

Answer 1

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1. This can be interpreted as the :

Log(odds) = b*X

So, If cofficient is 1.179 then

Log(odds) = 1.17932127 [Interpretation: An increase in GPA by 1 unit increases Log(odds) by 1.17932127]

Taking exponential both the sides on the above equation, we have:

odds = e^1.179 = 3.252166

Interpretation: It means that for unit increase in GPA the odds (ratio of probability of event to happen to probability of event to not happen) multiplies by 3.252166

2.

Coeffient of -.0976308 can be interpreted as 'for 1 unit increase in Attends Office hours the log(odds) decreases by 0.0976308 units.

Odds ratio = e^-0.976308 = .9069837

It means that for 1 unit increase in Attends office hours the odds of event multplies by .9069837