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

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.

Quizplus · Accepted Answer

(For Mindy, X₁ = 3, X₂ = 0, logit(Y) = 3.7 ? 1.3(3) < 0. That means the odds of Mindy dropping out of high school are smaller than 1, so Mindy has less than 50% probability of dropping out.)

A Study Was Conducted to Investigate Variables Associated with Dropping