The accompanying data on x = head circumference z score (a comparison score with peers of the same age - a positive score suggests a larger size than for peers) at age 6 to 14 months and y = volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article. Cerebral Grey Matter (ml) 2-5 yr Head Circumfer- ence z Scores at 6-14 Months 680 -0.72 690 1.5 700 -0.27 720 0.28 740 0.33 740 1.8 750 1.4 750 2.3 760 1.4 780 1.4 790 2.3 810 2.4 815 3.1 820 2.5 825 0.93 835 2.65 840 2.6 845 2.5 (a) What is the value of the correlation coefficient? (Give the answer to two decimal places.) r =  _______ (b) Find the equation of the least-squares line. (Give the answer to two decimal places.)  = _______

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The accompanying data on x = head circumference z score (a comparison score with peers of the same age - a positive score suggests a larger size than for peers) at age 6 to 14 months and y = volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article.

Cerebral Grey
Matter (ml) 2-5 yr
Head Circumfer-
ence z Scores at
6-14 Months
680 -0.72
690 1.5
700 -0.27
720 0.28
740 0.33
740 1.8
750 1.4
750 2.3
760 1.4
780 1.4
790 2.3
810 2.4
815 3.1
820 2.5
825 0.93
835 2.65
840 2.6
845 2.5
(a) What is the value of the correlation coefficient? (Give the answer to two decimal places.)
r =  _______


(b) Find the equation of the least-squares line. (Give the answer to two decimal places.)
 = _______
 
 
 
 

Expert Solution
Step 1

Given information:

Cerebral Grey
Matter (ml) 2-5 yr (X)
Head Circumference z scores at
6-14 Months (Y)
680 -0.72
690 1.5
700 -0.27
720 0.28
740 0.33
740 1.8
750 1.4
750 2.3
760 1.4
780 1.4
790 2.3
810 2.4
815 3.1
820 2.5
825 0.93
835 2.65
840 2.6
845 2.5
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