4. [-/4 Points] DETAILS BBBASICSTAT8 4.1.014.S. MY NOTES ASK YOUR TEACHER 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. 35 15 30 36 74 LA USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 40 40 . 35 35 as percentage) y (average cost 30 y (average cost as percentage 30 25 25 20 20 10 20 30 40 50 60 70 10 20 30 50 60 70 x (average number x (average number O of employees) of employees) 40 40 35 35 as percentage) y (average cost 30 as percentage y (average cost 30 25 25 20 20 10 20 30 40 50 60 70 10 20 3 40 60 70 x (average number x (average number O of employees) of employees) (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and positive moderate and negative moderate and positive low and positive strong and negative O low and negative (c) Use a calculator to verify that Ex = 135, Ex2 = 7055, Zy = 151, Ey2 = 4815, and Exy = 3193. Computer. (Round you four decimal places.) r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. 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 increase as x increases. Given our value of r, y should tend to remain constant as x increases. Given our value of r, y should tend to decrease as x increases