SOLUTION: The data below show the number of years of education for seven parent-child pairs. respondent A B C D E F G years of e

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Question 443701: The data below show the number of years of education for seven parent-child pairs.
respondent A B C D E F G
years of education of parent (x) 14 10 7 13 13 9 12
years of education of child (y) 13 14 7 15 20 6 18

a) Determine the correlation coefficient
r=
b) Find the equation of the regression line, y=mx+b First find the slope,m
m=
Now calculate the y-intercept, b, of the regression line.
b=
c) Approximate the number of years of education for a child with a parent who has 16 years of education.
y approximately=
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

 x parent  and y child

x	x^2	y	y^2	xy

14	196	13	169	182

10	100	14	196	140

7	49	7	49	49

13	169	15	225	195

13	169	20	400	260

9	81	6	36	54

12	144	18	324	216

78	908	93	1399	1096



r = %28880-%2878%2A93%2F7%29%29%2F+sqrt%28%28908-+78%5E2%2F7%29%281399-93%5E2%2F7%29%29 = .7493



  y = 1.54x -3.84

parent 16 years of education... the child ~ 21