For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
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
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
Transcribed Image Text:Question Help
- X
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
Critical values for the correlation coefficient
Click here to view the data set.
Click here to view the critical values table.
Critical Values for Correlation Coefficient
(a) Draw a scatter diagram of the data. Choose the correct graph below.
n
3 0.997
4 0.950
5 0.878
6 0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
O A.
OB.
OC.
Av
20-
20-
20-
0+
0-
10
10
10
(b) By hand, compute the correlation coefficient.
The correlation coefficient is r= (Round to three decimal places as needed.)
(c) Determine whether there is a linear relation between x and y.
17 0.482
Because the correlation coefficient is
and the absolute value of the correlation coefficient,
is
V than the critical value for this data set,
V linear relation
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
(Round to three decimal places as needed.)
i Data set
- X
26 0.388
27 0.381
28 0.374
29 | 0.367
30 0.361
4
6.
7
y
8
10
14
20
n
Print
Done
Print
Done
Cliel to golo
onowor(o)
Transcribed Image Text:Question Help
- X
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
Critical values for the correlation coefficient
Click here to view the data set.
Click here to view the critical values table.
Critical Values for Correlation Coefficient
(a) Draw a scatter diagram of the data. Choose the correct graph below.
n
3 0.997
4 0.950
5 0.878
6 0.811
7 0.754
8 0.707
9 0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
O A.
OB.
OC.
Av
20-
20-
20-
0+
0-
10
10
10
(b) By hand, compute the correlation coefficient.
The correlation coefficient is r= (Round to three decimal places as needed.)
(c) Determine whether there is a linear relation between x and y.
17 0.482
Because the correlation coefficient is
and the absolute value of the correlation coefficient,
is
V than the critical value for this data set,
V linear relation
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
(Round to three decimal places as needed.)
i Data set
- X
26 0.388
27 0.381
28 0.374
29 | 0.367
30 0.361
4
6.
7
y
8
10
14
20
n
Print
Done
Print
Done
Cliel to golo
onowor(o)
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 2 steps with 1 images
Knowledge Booster
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.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