The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. Cost per Serving Fiber per Serving 32 r= 46 49 62 41 19 77 71 30 7 10 10 7 8 7 12 12 8 USE SALT Cost per Fiber per Serving Serving 53 53 67 43 48 28 54 27 54 13 10 8 12 7 14 7 8 8 (a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.) Interpret the value of the correlation coefficient. O There is a weak negative linear relationship between cost per serving and fiber per serving. O There is a weak positive linear relationship between cost per serving and fiber per serving. O There is a strong negative linear relationship between cost per serving and fiber per serving. O There is a strong positive linear relationship between cost per serving and fiber per serving. O There is no correlation between cost per serving and fiber per serving.
The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. Cost per Serving Fiber per Serving 32 r= 46 49 62 41 19 77 71 30 7 10 10 7 8 7 12 12 8 USE SALT Cost per Fiber per Serving Serving 53 53 67 43 48 28 54 27 54 13 10 8 12 7 14 7 8 8 (a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.) Interpret the value of the correlation coefficient. O There is a weak negative linear relationship between cost per serving and fiber per serving. O There is a weak positive linear relationship between cost per serving and fiber per serving. O There is a strong negative linear relationship between cost per serving and fiber per serving. O There is a strong positive linear relationship between cost per serving and fiber per serving. O There is no correlation between cost per serving and fiber per serving.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
PLEASE ANSWER ALL THE PARTS OF THE QUESTION
Transcribed Image Text:1
(b) The serving size differed for the different cereals, with serving sizes varying from
cup to 1-¹ cups. Converting price and fiber content to "per cup" rather than "per serving" results in the accompanying data.
4
Cost per
Cup
r =
9.3
10
10
7
6.4
7
12
9.6
8
Fiber per
Cup
45
46
49
62
32.8
19
77
56.8
30
Cost per
Cup
13
10
8
12
7
28
7
16
10.7
Fiber per
Cup
53
53
67
43
48
56
54
54
73.3
Calculate the value of the correlation coefficient for this new data set. (Round your answer to four decimal places.)
Is the correlation coefficient for the per cup data greater than or less than the correlation coefficient for the per serving data?
The correlation coefficient for the per cup data is less than the correlation coefficient for the per serving data.
The correlation coefficients are the same.
The correlation coefficient for the per cup data is greater than the correlation coefficient for the per serving data.
Transcribed Image Text:The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine.
Fiber per
Serving
Cost per
Serving
r =
32
46
49
62
41
19
77
71
30
7
10
10
7
8
7
12
12
8
USE SALT
Cost per
Serving
53
53
67
43
48
28
54
27
54
Fiber per
Serving
13
10
8
12
7
14
7
8
8
(a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.)
Interpret the value of the correlation coefficient.
O There is a weak negative linear relationship between cost per serving and fiber per serving.
O There is a weak positive linear relationship between cost per serving and fiber per serving.
There is a strong negative linear relationship between cost per serving and fiber per serving.
There is a strong positive linear relationship between cost per serving and fiber per serving.
O There is no correlation between cost per serving and fiber per serving.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman