The growth of children from early childhood through adolescence generally follows a linear pattern. Data on the heights (in inches) of children from four to nine years old were compiled and the regression line was obtained as y = 2.36x +31.5 a. Identify the independent variable and the response variable. Explain the slope m = 2.36 in terms of the problem. b. If a 6 year old had an observed height of 46.5 inches, find the residual for this 6 year old. C. Given the coefficient of determination r² = .91, interpret it in terms of the problem.
The growth of children from early childhood through adolescence generally follows a linear pattern. Data on the heights (in inches) of children from four to nine years old were compiled and the regression line was obtained as y = 2.36x +31.5 a. Identify the independent variable and the response variable. Explain the slope m = 2.36 in terms of the problem. b. If a 6 year old had an observed height of 46.5 inches, find the residual for this 6 year old. C. Given the coefficient of determination r² = .91, interpret it in terms of the problem.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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![1. The growth of children from early childhood through adolescence generally follows a linear pattern. Data on the
heights (in inches) of children from four to nine years old were compiled and the regression line was obtained as
y = 2.36x +31.5
a. Identify the independent variable and the response variable. Explain the slope m = 2.36 in terms of the problem.
b. If a 6 year old had an observed height of 46.5 inches, find the residual for this 6 year
old.
C. Given the coefficient of determination r² = .91, interpret it in terms of the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87bd9bd0-40fd-4172-a50a-abb52eb6a8c1%2Fa3673e68-401e-4d29-9447-f65ec830f690%2Fadupi4_processed.png&w=3840&q=75)
Transcribed Image Text:1. The growth of children from early childhood through adolescence generally follows a linear pattern. Data on the
heights (in inches) of children from four to nine years old were compiled and the regression line was obtained as
y = 2.36x +31.5
a. Identify the independent variable and the response variable. Explain the slope m = 2.36 in terms of the problem.
b. If a 6 year old had an observed height of 46.5 inches, find the residual for this 6 year
old.
C. Given the coefficient of determination r² = .91, interpret it in terms of the problem.
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