1. Manny is hired as management consultant analyze the relationship between a manager's monthly salary, Y, and the number of employees that manager supervises, X. Based on a sample of five managers, he compiles the following information: Monthly Salary (Y) Number of Employees Supervised (in $1,000s) (X) aw up 10 [(Y- Y) =6.8 [(x-x) =29.2 [(x-X(Y-Y)=10.6 (a) Calculate the sample mean for Monthly Salary (Y) and the sample mean for the Number of Employees Supervised (X). (b) Calculate the sample standard deviation for Monthly Salary and the sample standard deviation for the Number of Employees Supervised. (c) Calculate the sample coefficient of correlation between Monthly Salary and the Number of Employees Supervised. (d) In a complete sentence, briefly interpret the coefficient of correlation