Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. 3 40 7 15 34 70 35 30 28 21 y LA USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 30 30 . 10 20 30 40 50 60 70 xaverage number 20 30 40 50 60 70 x(average number 10 20 30 40 50 60 70 x(average number 20 30 40 50 60 70 x(average number of employees) of employees) of employees) of employees) ® (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative low and negative moderate and negative strong and positive low and positive moderate and positive (c) Use a calculator to verify that Ex= 129, Ex2 = 6339, xy = 154, xy2 = 4950, and Exy = 3237. Computer. (Round your answer to four decimal places.) ra As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, y should tend to remain constant as x increases. Given our value of r, y should tend to increase as x increases. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to decrease as x increases. 10 10 @