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.