Do the following test for linear correlation. If there is a linear correlation, find the regression equation. (4 points each, 2 points for equation) 15. A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below, where x denotes seed density, and y denotes lawn quality. x 1 1 2 3 3 3 4 5 y 30 40 40 40 50 65 50 50 Find the sample linear correlation coefficient. Do the data provide sufficient evidence to conclude that seed density and lawn quality are positively linearly correlated?