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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

A random sample of 30 colleges from Kiplinger's list of the best values in private college provided the data shown in the fileBestPrivateColleges.The variable named Admit Rate (%) shows the percentage of students that applied to the college and were admitted, and the variable named4 yrGrad. 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.

A scatter diagram has 30 points.

  • The horizontal axis is labeled Admit Rate (%) and ranges from 0 to 100.
  • The vertical axis is labeled 4-yr Grad. Rate (%) and ranges from 0 to 100.
  • Most of the points follow a trend that starts at the point (6 , 86) and moves downward towards the point (81 , 66). The points become more scattered as the value on the horizontal axis increases.

A scatter diagram has 30 points.

  • The horizontal axis is labeled Admit Rate (%) and ranges from 0 to 100.
  • The vertical axis is labeled 4-yr Grad. Rate (%) and ranges from 0 to 100.
  • Most of the points follow a trend that starts at the point (6 , 47) and moves upward towards the point (81 , 89). The points are plotted close together with very little scatter.

A scatter diagram has 30 points.

  • The horizontal axis is labeled Admit Rate (%) and ranges from 0 to 100.
  • The vertical axis is labeled 4-yr Grad. Rate (%) and ranges from 0 to 100.
  • The points plotted from the horizontal axis values of 6 to 81 are evenly scattered between the vertical axis values of 62 and 88.

A scatter diagram has 30 points.

  • The horizontal axis is labeled Admit Rate (%) and ranges from 0 to 100.
  • The vertical axis is labeled 4-yr Grad. Rate (%) and ranges from 0 to 100.
  • Most of the points follow a trend that starts at the point (6 , 89) and moves downward towards the point (81 , 47). The points are plotted close together with very little scatter.

Compute the sample correlation coefficient. (Round your answer to two decimal places.)

Name Admit Rate (%) 4-yr Grad. Rate (%)
American University, Washington 44 73
Bethel University, St. Paul 71 62
Boston College, Chestnut Hill 29 89
Brandeis University, Waltham 39 86
Butler University, Indianapolis 66 55
Carnegie Mellon University, Pittsburgh 28 73
Case Western Reserve University, Cleveland 54 63
Dartmouth College, Hanover 10 88
Emory University, Atlanta 26 84
Fordham University, New York 43 77
Franciscan University of Steubenville, Steubenville 76 71
Gonzaga University, Spokane 67 68
Harvard University, Cambridge 6 86
Indiana Wesleyan University, Marion 66 59
John Carroll University, University Heights 81 66
Johns Hopkins University, Baltimore 18 88
Marist College, Poughkeepsie 31 71
Massachusetts Institute of Technology, Cambridge 9 84
Northwestern University, Evanston 15 86
Princeton University, Princeton 8 88
Rice University, Houston 17 84
Rollins College, Winter Park 56 62
Santa Clara University, Santa Clara 51 79
Southern Methodist University, Dallas 54 68
Union University, Jackson 75 50
University of Chicago, Chicago 13 86
University of Miami, Coral Gables 40 70
University of Portland, Portland 67 68
University of Tulsa, Tulsa 41 47
Xavier University, Cincinnati 68 71

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