Question # For the sample of top-rated universities, the graduation rate has mean 82.7% and

Ratios, rates, proportions
ANSWERED For the sample of top-rated universities, the graduation rate has mean 82.7% and standard deviation 8.3%. The student/faculty ratio has mean 11.7 and standard deviation 4.3. The correlation is -0.52.
(Note: use proportion for graduation rate.)
a. Find the equation of the least squares line for predicting graduation rate from student/faculty ratio.
Let $$\displaystyle\gamma=\alpha{x}+\beta$$ Find A and B.
(round to five decimal places)
B=
(round to three decimal places)
b. Find the equation of the least squares line for predicting student/faculty ratio from graduation rate.
Let $$\displaystyle\gamma={C}{x}+{D}$$. Find C and D.
C=
(round to five decimal places)
D=
(round to five decimal places) 2021-09-15

$$\displaystyle{A}={\left(-{0.52}\star{\frac{{{0.083}}}{{{4.3}}}}\right)}$$
$$\displaystyle=-{0.01004}$$
$$\displaystyle{B}={0.827}+{0.01004}\star{11.7}={0.944}$$
$$=-26.93980$$
$$\displaystyle{D}={11.7}+{26.93980}\star{0.827}={33.97918}$$