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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
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.
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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