Let us investigate whether there is a correlation between the pay of those at the top of the police hierarchy (chiefs) and those at the bottom (officers). We will use a random sample of six agencies from the LEMAS data set. The following table shows the minimum annual salaries of chiefs and officers among the agencies in this sample. (The numbers represent thousands; for instance, 57.5 means $57,500.) Using an alpha level of .05, test for a correlation between the two variables (no direction specified). If appropriate, interpret the sign, magnitude, and the coefficient of determination. Agency Minimum Chief Salary (x) Minimum Officer Salary (y) A 57.50 28.40 B 20.40 14.50 C 57.60 31.60 D 70.00 21.50 E 21.70 16.50 F 75.50 33.80 N = 6