Question

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

Ratios, rates, proportions
ANSWERED
asked 2021-09-14
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)

Expert Answers (1)

2021-09-15

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

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