Four students (Kwame, Kai-Li, Sara, and Gustav) have applied to enter WPI as freshmen next year....

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Four students (Kwame, Kai-Li, Sara, and Gustav) have applied to enter WPI as freshmen next year. In the admissions office, Will Kutya, WPI's VP of admissions, has modeled the probability that a student will flunk out of WPI using a logistic regression model with the logit, Z defined as follows: where Class Rank SAT Score GPA Z = 1.0+.3X₁.005X2-.3X3 The data for the 4 applicants are shown below: X₁ = student's high school class rank X₂ = student's SAT score X3 = student's high school Grade Point Average (GPA) Kwame 1 800 4.0 Kai-Li 2 792 4.0 Sara 4 690 3.96 Gustav 5 710 3.0 What is the probability that Sara will flunk out of WPI if she is admitted? (a) 2.8% (b) 4.5% (c) 8.0% (d) 12.4% Four students (Kwame, Kai-Li, Sara, and Gustav) have applied to enter WPI as freshmen next year. In the admissions office, Will Kutya, WPI's VP of admissions, has modeled the probability that a student will flunk out of WPI using a logistic regression model with the logit, Z defined as follows: where Class Rank SAT Score GPA Z = 1.0+.3X₁.005X2-.3X3 The data for the 4 applicants are shown below: X₁ = student's high school class rank X₂ = student's SAT score X3 = student's high school Grade Point Average (GPA) Kwame 1 800 4.0 Kai-Li 2 792 4.0 Sara 4 690 3.96 Gustav 5 710 3.0 What is the probability that Sara will flunk out of WPI if she is admitted? (a) 2.8% (b) 4.5% (c) 8.0% (d) 12.4%

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