Question
In: Statistics and Probability
A study of 60,000 college students (enrolled in 4-year programs) from around the U.S. looked at...
A study of 60,000 college students (enrolled in 4-year programs) from around the U.S. looked at the high school GPA for each student and their College GPA at the end of their first full year of college. The following summary statistics were recorded.
Avg(x) = 3.44, SDx = 0.66, Avg(y) = 3.25, SDy = 0.77, r = 0.6
where xj =HS GPA of the jth student and yj =FY GPA of the jth student.
Based on this data:
(a) Find the regression equation for predicting FY GPA from HS GPA.
Show the work you did to find the equation.
(b) Find the RMS error of regression for the regression you found in (a).
Show the work you did to find the RMS error.
(c) If Kelly had a 3.0 GPA in HS, what is Kelly's FY GPA predicted to be?
Explain your reasoning.
(d) Assuming that the scatter diagram for the GPA data is ''football-shaped", what is the probability that Kelly's FY GPA will be between 3.25 and 3.75?
Show your calculations, and state clearly what assumptions you are relying on to justify these calculations.
Solutions
orchestra answered 1 year agoRelated Solutions
A study of 60,000 college students (enrolled in 4-year programs) from around the U.S. looked at...
A study of 60,000 college students (enrolled in 4-year programs)
from around the U.S. looked at the high school GPA for each student
and their College GPA at the end of their first full year of
college. The following summary statistics were recorded.
Avg(x) = 3.44, SDx = 0.66, Avg(y) = 3.25, SDy = 0.77, r =
0.6
where xj =HS GPA of the jth student and
yj =FY GPA of the jth student.
Based on this data:
(a) Find...
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