QUESTION 4 [20 MARKS] Correlation and regression are statistical measurements that are used to quantify the strength of the linear relationship between two variables. Correlation determines if two variables have a linear relationship while regression describes the cause and effect between the two. a) The table shows for a sample of towns in New York, the number of lawyers, x, and the number of motorcycles stolen during June, y. 12 7 11 19 21 3 4 17 14 3 21 28 43 12 30 Table 3 i. Calculate the value of the product moment correlation coefficient for the data. (5 marks) b) Table 4 shows a record of a career woman take time to reach to work (y minutes) when she leaves the house (x minutes) after 6 am on seven selected mornings X 0 10 20 30 40 50 60 16 27 28 39 39 48 51 Table 4 i. Plot the data on a scatter diagram. (5 marks) ii. Calculate the equation of the least square regression line of y on x, writing your answer in the form y = a + bx. (8 marks) ili. Draw the regression line on your scatter diagram. (2 marks)