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Suppose for a sample of
students, the average number of hours they work out per week is 6.89 with a
standard deviation of 5.66. I also asked them to rank themselves based on
athleticism. 10 means more athletic than the rest of the students in the class
and 1 means less athletic than the rest of the students in the class. For the
athleticism ranking, the average is 6.4 with a standard deviation of 2.4. The
correlation coefficient between these two variables is 0.319.
a. Predict the ranking a
student would give themselves if they worked out 2 hours per week.
b. Predict the ranking a
student would give themselves if they worked out 10 hours per week.
c. Calculate the root mean
square for the data.
d. For an individual that is in
the 90thpercentile
for hours worked out in a week, what percentile are they in for ranking based
on athleticism?
e. Calculate the regression
equation for the data.
