A statistics professor assigned various grades during the semester including a midterm exam (out of 100 points) and a logistic regression project (out of 30 points). The prediction equation below was fit, using data from 24 students in the class, to predict the final exam score (out of 100 points) based on the midterm and project grades:
Final= 11.0 + 0.53(Midterm) + 1.20 (Project)
a) What would this tell you about a student who got a perfect score on the midterm and project?
b) Michael got a grade of 87 on his midterm, 21 on the project, and an 80 on the final. Compute his residual and write a sentence to explain what that value means in Michael's case.
c) Does the prediction equation for final exam scores suggest that the project score has a stronger relationship with the final exam than the midterm exam does? Explain why or why not.