The table below shows the trunk diameters of trees (x) and their corresponding heights ()) Trunk Diameter (X) 8 9 6 13 7 11 12 Height of Tree (F) 35 49 27 33 60 21 45 51 A. Find the correlation coefficient, r, and interpret your answer. (1 1 marks) B. Find the coefficient of determination, r, and interpret your answer (3 marks) C. Determine the least squares regression equation y = bx + a. (8 marks) D. Use your equation to estimate the height of a tree with diameter of 20. (3 marks)The table below shows the trunk diameters of trees (x) and their corresponding heights ()) Trunk Diameter (X) 8 9 7 6 13 7 11 12 Height of Tree (F) 35 49 27 33 60 21 45 51 A. Find the correlation coefficient, r, and interpret your answer. (11 marks) B. Find the coefficient of determination, r, and interpret your answer (3 marks) C. Determine the least squares regression equation y = bx + a. (8 marks) D. Use your equation to estimate the height of a tree with diameter of 20. (3 marks)A. The information below shows the age and the number of sick days taken for 6 employees at a biscuit factory. Age(x) 18 26 39 48 53 58 Number of sick days(Y) 16 12 9 5 6 2 Table 3. Using the information above: i. Determine the product-moment coefficient (r) ii. Calculate the coefficient of determination and interpret your answer iii. Determine the equation of the regression line iv. Use the equation of the regression line to estimate the number of sick days that would be taken by an employee who is 47