A random sample of 30 colleges from Kiplinger's list of the best values in private college provided the data shown in the file BestPrivateColleges. The variable named Admit Rate (%) shows the percentage of students that applied to the college and were admitted, and the variable named 4 yr Grad. Rate (%) shows the percentage of students that were admitted and graduated in four years. (a) Develop a scatter diagram with Admit Rate (%) as the independent variable. 100 100 100 90 90 90 " . . . . . . . 80 80 70 . 1. 1878 70 60 60 4-yr Grad. Rate (%) 50 50 4-yr Grad. Rate (%) 4-yr Grad. Rate (%) 50 40 40 40 30 30 30 20 20 10 10 O O 0 0 10 20 30 40 50 60 70 80 90 100 10 20 30 40 50 60 70 80 90 100 0 10 20 30 40 50 60 70 80 90 100 Admit Rate (%) Admit Rate (%) O Admit Rate (%)100 88888 4-yr Grad. Rate (%) 40 30 10 O 0 10 20 30 40 50 60 70 80 90 100 O Admit Rate (%) What does the scatter diagram indicate about the relationship between the two variables? There appears to be ---Select--- relationship between the two variables. This implies that ---Select--- admission rates are associated with ---Select--- graduation rates. (b) Compute the sample correlation coefficient. (Round your answer to two decimal places.) What does the value of the sample correlation coefficient indicate about the relationship between the Admit Rate (%) and the 4 yr Grad. Rate (%)? The sample correlation coefficient indicates ---Select--- relationship between the two variables