One of the questions in the course evaluation completed by agribusiness students at the end of each course asks ‘Would you recommend this course to a friend?' To determine the factors that influence the decision, a statistics practitioner performed a logistic regression analysis with the following independent variables:
Midterm mark (out of 100)
Expected final mark (out of 100)
Grade point average (range: 0 to 4)
The following regression coefficients were computed:
b0 = -2.583; b1= 0.0277; b2 = 0.035; b3= 0.041;
(a) Determine the estimated probability that an agribusiness student whose midterm mark was 72, who expects a final mark of 65, and whose grade point average is 3.5 will recommend the course to a friend.
(b) Provide an interpretation of the estimated coefficients in the model.