SCENARIO 18-11 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 Minitab output is given below:
-Referring to Scenario 18-11, there is not enough evidence to conclude that Toefl500 makes a significant contribution to the model in the presence of the other independent variables at a 0.05 level of significance.

Question

SCENARIO 18-11 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 Minitab output is given below: 
-Referring to Scenario 18-11, there is not enough evidence to conclude that Toefl500 makes a significant contribution to the model in the presence of the other independent variables at a 0.05 level of significance.

Quizplus · Accepted Answer

This can be determined by looking at the "Coefficients" table in the Minitab output. The p-value for the Toefl550 variable is 0.452, which is greater than the 0.05 level of significance. Therefore, we fail to reject the null hypothesis that this variable does not make a significant contribution to the model in the presence of the other independent variables. The p-value for Toefl550 is 0.080, which is greater than 0.05. Therefore, we fail to reject the null hypothesis that Toefl550 does not have a significant effect on the probability of a university being private, given the other independent variables in the model.

SCENARIO 18-11 a Logistic Regression Model Was Estimated in Order