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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 680 690 700 720 740 740 750 750 760 780 790 810 815 820 825 835 840 845 (a) What is the value of the correlation coefficient? (Give the answer to two decimal places.) -0.65 1.4 -0.20 0.35 0.40 1.7 1.3 2.2 1.3 1.3 2.2 2.3 3.0 2.4 1.00 2.55 2.5 2.4 (b) Find the equation of the least-squares line. (Give the answer to two decimal places.) ŷ = (c) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.8. (Give the answer to two decimal places.)

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 680 690 700 720 740 740 750 750 760 780 790 810 815 820 825 835 840 845 (a) What is the value of the correlation coefficient? (Give the answer to two decimal places.) -0.65 1.4 -0.20 0.35 0.40 1.7 1.3 2.2 1.3 1.3 2.2 2.3 3.0 2.4 1.00 2.55 2.5 2.4 (b) Find the equation of the least-squares line. (Give the answer to two decimal places.) ŷ = (c) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.8. (Give the answer to two decimal places.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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 680 690 700 720 740 740 750 750 760 780 790 810 815 820 825 835 840 845 (a) What is the value of the correlation coefficient? (Give the answer to two decimal places.) r = -0.65 1.4 -0.20 0.35 0.40 1.7 1.3 2.2 1.3 1.3 2.2 2.3 3.0 2.4 1.00 2.55 2.5 2.4 (b) Find the equation of the least-squares line. (Give the answer to two decimal places.) ŷ = (c) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.8. (Give the answer to two decimal places.)
Transcribed Image Text: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 680 690 700 720 740 740 750 750 760 780 790 810 815 820 825 835 840 845 (a) What is the value of the correlation coefficient? (Give the answer to two decimal places.) r = -0.65 1.4 -0.20 0.35 0.40 1.7 1.3 2.2 1.3 1.3 2.2 2.3 3.0 2.4 1.00 2.55 2.5 2.4 (b) Find the equation of the least-squares line. (Give the answer to two decimal places.) ŷ = (c) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.8. (Give the answer to two decimal places.)
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