Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient 0.844 and the least squares regression line is y = 0.122x + 14.043. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.3 17.1 17.3 17.1 17.5 17.4 17.1 17.4 17.3 17.3 17.3 27.5 25 26 25.25 27.75 26.5 25.75 27.25 26.75 26.75 27.25 ...... (a) Compute the coefficient of determination, R2.

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
icon
Related questions
Question

Please check answers

Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is
0.844 and the least squares regression line is y = 0.122x+ 14.043. Complete parts (a) and (b) below.
Height, x
Head Circumference, y 17.3 17.1 17.3 17.1
27.5
25
26 25.25 27.75 26.5 25.75 27.25 26.75 26.75 27.25
17.5 17.4 17.1
17.4
17.3
17.3 17.3
....
(a) Compute the coefficient of determination, R2.
R? = 71.3 % (Round to one decimal place as needed.)
(b) Interpret the coefficient of determination.
Approximately 71.23 % of the variation in head circumference is explained by the least-squares regression model.
(Round to one decimal place as needed.)
Transcribed Image Text:Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.844 and the least squares regression line is y = 0.122x+ 14.043. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.3 17.1 17.3 17.1 27.5 25 26 25.25 27.75 26.5 25.75 27.25 26.75 26.75 27.25 17.5 17.4 17.1 17.4 17.3 17.3 17.3 .... (a) Compute the coefficient of determination, R2. R? = 71.3 % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. Approximately 71.23 % of the variation in head circumference is explained by the least-squares regression model. (Round to one decimal place as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt