CALCULATOR PRINTER VERSION 4 BACK NEXT For the sample of top-rated universities,

Question

CALCULATOR PRINTER VERSION 4 BACK NEXT 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 -0.51. (Note: use proportion for graduation rate.) a. Find the equation of the least squares line for predicting graduation rate from student/faculty ratic Let Ax + B. Find A and B. 3, 0.984 (round to five decimal places) 712 (round to three decimal places) b. Find the equation of the least squares line for predicting student/faculty ratio from graduation rate Let ^=Ex + D. Find C and D 264 (round to five decimal places) 101 (round to five decimal places) SHOW HINT

Explanation / Answer

a)

A =r*Sy/Sx =-0.51*(8.3/4.3)=-0.98442

B =Ybar-A*Xbar =82.7-(-0.98442)*11.7=94.218

b)

C =-0.51*(4.3/8.3)=-0.26422

D =11.7-(-0.26422)*82.7=33.551

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