The quality of the orange juice produced by a certain manufacturer is constantly monitored. Data collected on the sweetness index of an orange juice sample and amount of​ water-soluble pectin for 24 production runs at a juice manufacturing plant are shown in the accompanying table. Suppose a manufacturer wants to use simple linear regression to predict the sweetness​ (y) from the amount of pectin​ (x). Find and interpret the coefficient of​ determination, r2​, and the coefficient of​ correlation, r.         Find and interpret the coefficient of​ determination, r2. Select the correct choice below and fill in the answer box within your choice.   ​(Round to three decimal places as​ needed.)   A. The coefficient of​ determination, r2​, is enter your response here. Sample variations in the amount of​ water-soluble pectin explain 100r2% of the sample variation in the sweetness index using the least squares line.   B. The coefficient of​ determination, r2​, is enter your response here. Sample variations in the amount of​ water-soluble pectin do not explain 100r2% of the sample variation in the sweetness index using the least squares line.   Find and interpret the coefficient of​ correlation, r. Select the correct choice below and fill in the answer box within your choice. ​(Round to three decimal places 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
Question
The quality of the orange juice produced by a certain manufacturer is constantly monitored. Data collected on the sweetness index of an orange juice sample and amount of​ water-soluble pectin for 24 production runs at a juice manufacturing plant are shown in the accompanying table. Suppose a manufacturer wants to use simple linear regression to predict the sweetness​ (y) from the amount of pectin​ (x). Find and interpret the coefficient of​ determination,
r2​,
and the coefficient of​ correlation, r.
 
 
 
 
Find and interpret the coefficient of​ determination,
r2.
Select the correct choice below and fill in the answer box within your choice.
 
​(Round to three decimal places as​ needed.)
 
A.
The coefficient of​ determination,
r2​,
is
enter your response here.
Sample variations in the amount of​ water-soluble pectin explain
100r2%
of the sample variation in the sweetness index using the least squares line.
 
B.
The coefficient of​ determination,
r2​,
is
enter your response here.
Sample variations in the amount of​ water-soluble pectin do not explain
100r2%
of the sample variation in the sweetness index using the least squares line.
 
Find and interpret the coefficient of​ correlation, r. Select the correct choice below and fill in the answer box within your choice.
​(Round to three decimal places as​ needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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