Best Private Colleges. 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 (Kiplinger website). The variable Admit Rate (\%) shows the percentage of students that applied to the college and were admitted, and the variable 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. What does the scatter diagram indicate about the relationship between the two variables? b. Compute the sample correlation coefficient. What does the value of the sample correlation coefficient indicate about the relationship between the Admit Rate (\%) and the 4 -yr Grad. Rate $(\%) ?$
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To develop a scatter diagram, you would plot the Admit Rate (%) on the x-axis and the 4-yr Grad. Rate (%) on the y-axis. Each point on the graph would represent a college. The scatter diagram would show the relationship between the two variables. If the points are Show more…
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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 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. 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. 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. 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. What does the scatter diagram indicate about the relationship between the two variables? There appears to be ---Select--- a positive linear no a negative linear relationship between the two variables. This implies that ---Select--- higher lower admission rates are associated with ---Select--- higher lower 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--- no a negative linear a positive linear relationship between the two variables.
Ameer S.
Colleges Listed below are the annual tuition amounts of the 10 most expensive colleges in the United States for a recent year. The colleges listed in order are Sarah Lawrence, NYU, George Washington, Bates, Skidmore, Johns Hopkins, Georgetown, Connecticut College, Harvey Mudd, and Vassar. What does this “Top 10” list tell us about the population of all U.S. college tuitions? $54,410 $51,991 $51,730 $51,300 $51,196 $51,190 $51,122 $51,115 $51,037 $50,875 Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Express answers with the appropriate units of measurement.
T. L.
The Web site www.kiplinger.com published "Best Values in Public Colleges," saying they were determined by rankings based on data from more than 500 public 4-year colleges and universities. Using out-of-state rankings that considered the academic quality, total out-of-state costs, and average costs after financial aid, the 50 best-rated colleges were selected. The boxplot pictured displays the average debt per graduate for these colleges. Student Debt upon Graduation from Top-rated Public Colleges 33000 29000 25000 21000 17000 13000 Of the debts owed, 50% are smaller than what amount? $25,000 $22,000 $20,600 $18,000
David N.
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