14. Health Insurance: Administrative Cost The following data are based on information from Domestic Affairs. 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. x 3 7 15 35 75
y 40 35 30 25 18

Make a scatter diagram and draw the line you think best fits the data.
Would you say the correlation is low, moderate, or strong? positive or negative?
Use a calculator to verify that:
∑▒〖x=135,∑▒x^2 〗=7133,∑▒〖y=148,∑▒〖y^2=4674,and∑▒〖x y=3040.〗〗〗
Compute r. As x increases from 3 to 73, does the value of r imply that y should tend to increase or decrease? Explain.