The director of a BSc in Business Management wants to establish if the students' performance on first year of the course is related to the student attendance to the lectures and classes provided by the course. She collected information on eight modules concerning the average score per module, its respective average attendance to the lectures and to the classes. The data are shown in the table. Program Average mark (%) Average Average lectures attendance class attendance (%) Module 1 65 65 30 Module 2 32 45 39 Module 3 Module 4 Module 5 Module 6 Module 7 Module 8 187822 84 48 35 63 59 72 65 45 68 61 60 69 43 42 85 Using these data, the course director has arrived at the following regression equations: Equation 1: y=-17.96 +1.405x1 + e Equation 2: y=88.217 -0.518x2 + e = Where: y Average score (%); x1 = Average lecture's attendance (%); x2 = Average class's attendance; and e = error (a) Interpret the meanings of Equation 1 and of Equation 2. [10 marks] (b) Which of the two equations represents the best regression model? Explain your answer, showing all calculations fully. [30 marks] (c) Suggest two ways in which the model you have chosen above can be improved. Explain your answer. [40 marks]