Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.914 and the least squares regression line is y = 0.240x + 10.916. Complete parts (a) and (b) below. 27 26.75 Height, x Head Circumference, y 17.5 27 25.25 26.5 25 27.25 26.75 26.25 27 27 16.9 17.2 17.0 17.4 17.4 17.1 17.3 17.4 17.4 17.4 (a) Compute the coefficient of determination, R². R² = % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. Approximately % of the variation in is explained by the least-squares regression model. (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.914 and the least
squares regression line is y = 0.240x + 10.916. Complete parts (a) and (b) below.
27 26.75
Height, x
Head Circumference, y 17.5
27 25.25 26.5
25
27.25 26.75 26.25 27
27
16.9
17.2 17.0
17.4 17.4 17.1
17.3 17.4 17.4 17.4
(a) Compute the coefficient of determination, R².
R² = % (Round to one decimal place as needed.)
(b) Interpret the coefficient of determination.
Approximately % of the variation in
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 0.914 and the least squares regression line is y = 0.240x + 10.916. Complete parts (a) and (b) below. 27 26.75 Height, x Head Circumference, y 17.5 27 25.25 26.5 25 27.25 26.75 26.25 27 27 16.9 17.2 17.0 17.4 17.4 17.1 17.3 17.4 17.4 17.4 (a) Compute the coefficient of determination, R². R² = % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. Approximately % of the variation in 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
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman