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 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 p = Ax + B. Find A and B. (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 p=Cx + D. Find C and D. (round to five decimal places) D= (round to five decimal places)

Explanation / Answer

a) A = (-0.52*0.083/0.043) = -1.00372

b) B = 0.827+1.00372*0.117 = 0.944

c) C = (-0.52*0.043/0.083) = -0.26940

d) D =  0.117+0.26940*0.827= 0.340

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