A study was conducted to investigate variables associated with dropping out of high school. The following logistic regression model was obtained:
Logit(Y i ) = 3.5 - 1.3X 1 + 2.3X 2 .
Y: 1= dropped out of high school; 0= did not drop out of high school;
X 1 : cumulative high school GPA obtained;
X 2 : 1 = retained in at least one grade; 0 = never retained in any grade.
-If Mindy has a high school GPA of 3, and has never repeated a grade, which of the following predictions can be derived from the model?
A) Mindy has more than 50% probability of dropping out of high school.
B) Mindy has less than 50% probability of dropping out of high school.
C) Mindy has exactly 50% probability of dropping out of high school.
D) Mindy will drop out of high school.
E) Mindy will not drop out of high school.

Question

Quizplus · Accepted Answer

Given Mindy's GPA of 3 and never having repeated a grade, the logistic regression equation becomes Logit(P) = 3.5 - 1.3(3) + 2.3(0) = 3.5 - 3.9 = -0.4. Since the logit is negative, it implies P < 0.5, indicating Mindy has less than a 50% probability of dropping out.

A Study Was Conducted to Investigate Variables Associated with Dropping