Tasks: a. Derive the simple linear regression equation. (2 Marks)

b. Interpret the slope coefficient and the intercept coefficient. (2 Marks)

c. Calculate and interpret the Coefficient of Determination. (2 Marks)

d. Calculate and interpret the correlation coefficient. (2 marks)

Tasks: a. Derive the simple linear regression equation. (2 Marks) b. Interpret the slope coefficient and the intercept coefficient. (2 Marks) c. Calculate and interpret the Coefficient of Determination. (2 Marks) d. Calculate and interpret the correlation coefficient. (2 marks) e. Predict the marks of a student who spent 10 hours for preparation. (2 Marks)\fQuestion 3 (10 marks) Many Holmes Institute instructors believe that students need to spend at least 2 hours studying outside of class for every hour of lecture. They believe that the number of hours students study to prepare for the exam affect students' marks significantly. As opposed, few of the lecturers believe that the number of preparation hours do not essentially affect students' marks while some other factors are to be considered. To study the relationship between the preparation time spent by each student (in hours) for the exam and the reported mark, a sample of 40 students were selected randomly from a large statistics class and data are given below. Answer below 9 questions: PREPARATION MARK TIME 4 67 8 90 4.5 60 6 70 4 60 7 85 2 40 4.5 60 7.5 80 1.5 25 4 80 8 70 2 45 8 80 3.5 57 2.5 50