A study of 60,000 college students (enrolled in 4-year programs) from around the U.S. looked at...

Avg(x) = 3.44, SDx = 0.66, Avg(y) = 3.25, SDy = 0.77, r = 0.6

where x_j =HS GPA of the j^th student and y_j =FY GPA of the j^th 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.

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

Expert Solution

orchestra answered 1 year ago

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