Research on Student Evaluation of Teaching (SET) has indicated that course design is at least as important as teachers' performance for student-rated perceived quality and student engagement. Our data analysis of more than 6000 SETs confirms this. Two hierarchical multiple regression models revealed that course design significantly predicts perceived quality more strongly than teachers, and that course design significantly predicts student engagement independent of teachers. While the variable teachers is a significant predictor of perceived quality, it is not a significant predictor of student engagement. In line with previous research, the results suggest it is important to highlight the vital impact of course design. The results are discussed particularly in relation to improved teaching practice and student learning, but also in terms of how student evaluations of teaching can be used in meaningful ways.