A college’s job placement office collected data about students’ GPAs and the salaries they earned in their first job after graduation. The mean GPA was 2.9 with a standard deviation of 0.3. Starting salaries had a mean of $48,000 with a SD of $8,100. The correlation between the two variables was r = 0.7. The association appears to be linear in the scatterplot.

(A) Write equation for the regression model that can predict starting salary based on GPA.

(B) Interpret the slope of the regression line in the context of this problem (in terms of the pertinent variables)

(C) Use this model to predict an estimate of a recent graduate’s salary whose GPA was 3.5.

(D) Calculate the coefficient of determination (R2) and interpret its meaning.

L2.) A college’s job placement office collected data about students’ (ERAS and thesalaries they earned in their first job after graduation. The mean GPA was 2.9 witha standard deviation of 0.3. Starting salaries had a mean of $48,000 with a SD of$8,100. The correlation between the two variables was r = 0.7. The associationappears to be linear in the scatterplot. (A) (4 pts) Write an equation for the regression model that can predict startingsalarybasedon GPAin the Y = bu + by? form, where b1 = r an (:3) and be = 1" —£112. (3,, is the stande deviation of y, s, is the standard deviation of x, ? is the mean of y and R is the mean of x) (B) (2 pts) Interpret the slope of the regression line in the context of this problem(in terms of the pertinent variables) (0) (2 pts) Use this model to predict an estimate of a recent graduate’s salary whoseGPA was 3.5. (D) (2 pts) Calculate the coefficient of determination (R2) and interpret its meaning.