This data is based on information collected about the administrative costs as a percentage of the total cost for a claim for various numbers of employees in a group health insurance plan. $(10$ pts$)$

a$.$ Fill out the table and calculate the correlation coefficient $(r)$ by hand. Show all steps to the calculation. $(6$ pts$)$

$\backslash$table$[[,\backslash$table$[[$Number of$],[$Employees$]],z_x,\backslash$table$[[$Administrative$],[$Costs $(\%)]],z_y,z_x{z}_y$