Chapter 3, Section 3.3, Question E38 For the sample of top-rated universities, t

Question

Chapter 3, Section 3.3, Question E38 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 Ax B. Find A and B. A= (round to five decimal places) (round to three decimal places) b. Find the equation of the least squares line for predicting student/faculty ratio from graduation rate. Let y CX+ D. Find Cand D. (round to five decimal places) (round to five decimal places)

Explanation / Answer

A = (-0.52*0.083/4.3)

= -0.01004

B = 0.827+0.01004*11.7 = 0.944

C = (-0.52*4.3/0.083)

= -26.93980

D = 11.7+26.93980*0.827 = 33.97918

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