-1 of 2 ID: MST.FET.MD.MR.01.0020A [1 mark] An investigation has been conducted to determine whether there is a relationship between the salary paid to a Chief Executive Officer (CEO) and the productivity of that CEO as measured by the change in profits from the time the CEO was employed. The scatterplot plots the salary paid (x) against the change in profits (y) of a sample of CEOs. Without doing any calculations and according only to this scatter diagram, a reasonable coefficient of correlation (r) between x and y would Change In profits (y) be: Or = -2.06 Or= -0.65 Or= 0.62 Or= 2.36 Salary paid (x) 2 of 2 ID: MST.FET.MD.MR.02.0030A [5 marks] The following table contains executive salaries and employee turnover for the Mean Corporation over the last 8 years. By 'executive salaries', the Mean Corporation is referring to the total executive salaries each year. That is, the value of executive salaries each year is the combined value of all annual salaries that are paid to the executives of the Mean Corporation that year. Employee turnover' is the number of employees who leave the Mean Corporation per year. Mean Year 3 5 6 8 Corporation Executive salaries ($) 50,000 71,000 76,000 77,000 79,000 83,000 84,000 86,000 Employee turnover 45 55 60 65 85 70 90 75 a) Calculate the mean executive salaries (x) and mean employee turnover (y) for the Mean Corporation. Give your answers to 2 decimal places. x = $ Y = employees per year b) Calculate the standard deviation of executive salaries (sx) and the standard deviation of employee turnover (s ) for the Mean Corporation. Give your answers to 2 decimal places. If you use your answers to part a) in your calculation, use the rounded versions. SX = $ Sy employees per year c) Calculate the correlation (r) between the executive salaries and employee turnover for the Mean Corporation. Give your answer to 2 decimal places. If you use your answers to parts a) or b) in your calculation, use the rounded versions. r =