X 81 75 71 61 96 56 85 18 1 80 82 83 57 100 30 68 56 (a) Calculate the covariance of x and y, denoted Sxy. (4) (b) Calculate the least squares (bo and bj ) and provide the regression equation j = bo + bix. (5) (c) Calculate the coefficient of correlation? (5) (d) Calculate the coefficient of determination? (2) (e) What does the coefficient of determination tells you? (2) [18] QUESTION 25 Your lecturer wants to determine whether there is a relationship between income and education. He collected randomly a sample of 10 students, where income is in thousand of rands and educa- tion is measured by the number of study as given below: Education 12 14 10 11 13 8 10 15 13 12 Income 25 31 20 24 28 15 21 35 29 27 (a) Identify the independent and dependent variables. (3) (b) Draw a scatter diagram for these data. (6) (c) Describe/explain the relationship between education and income. (2) [11] 6