Reference no: EM132866326
A logistic regression model was estimated in order to predict the probability that a randomly chosen university or college would be a private university using information on mean total Scholastic Aptitude Test score (SAT) at the university or college, the room and board expense measured in thousands of dollars (Room/Brd), and whether the TOEFL criterion is at least 550 (Toefl550 = 1 if yes, 0 otherwise.) The dependent variable, Y, is school type (Type = 1 if private and 0 otherwise).
The output is given below:
Logistic Regression Table
Predictor Coef SE Coef Z P
Constant -27.118 6.696 -4.05 0.000
SAT 0.015 0.004666 3.17 0.002
Toefl550 -0.390 0.9538 -0.41 0.682
Room/Brd 2.078 0.5076 4.09 0.000
Log-Likelihood = -21.883
Test that all slopes are zero: G = 62.083, DF = 3, P-Value = 0.000
Which of the following is the correct interpretation for the SAT slope coefficient?