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. Click here to view the data set, Click here to view the critical values table. (a) Draw a scatter diagram of the data. Choose the correct graph below. O A. OB. Oc. OD. 20- 20- 20- (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. Because the correlation coefficient is V and the absolute value of the correlation coefficient,, is than the critical value for this data set, V linear relation exists between x and y. (Round to three decimal places as ne positive negative Data set 4 6 6 7 y 4 8 12 13 18

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
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.
Click here to view the data set.
Click here to view the critical values table.
.....
(a) Draw a scatter diagram of the data. Choose the correct graph below.
O A.
В.
O C.
)D.
Ay
20-
Ay
20-
Ay
20-
Ay
20-
0-
0-
10
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.
Because the correlation coefficient is
and the absolute value of the correlation coefficient,
is
than the critical value for this data set,
linear relation exists between x and y.
(Round to three decimal places as ne
positive
- X
negative
Data set
2
4
6
7
4
12
13
18
+ 00
Transcribed Image Text: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. Click here to view the data set. Click here to view the critical values table. ..... (a) Draw a scatter diagram of the data. Choose the correct graph below. O A. В. O C. )D. Ay 20- Ay 20- Ay 20- Ay 20- 0- 0- 10 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. Because the correlation coefficient is and the absolute value of the correlation coefficient, is than the critical value for this data set, linear relation exists between x and y. (Round to three decimal places as ne positive - X negative Data set 2 4 6 7 4 12 13 18 + 00
relation coefficient, and (c) determine whether there is a linear relation between x and y.
Critical values for the correlation coefficient
.....
Critical Values for Correlation Coefficient
n
C.
D.
3
0.997
Ay
20-
4
0.950
20-
0.878
0.811
7
0.754
8
0.707
9
0.666
0-
0-
10
10
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
than the critical value for this data set,
linear relation exists between x and y.
greater
25 0.396
not greater
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
Print
Done
is
Transcribed Image Text:relation coefficient, and (c) determine whether there is a linear relation between x and y. Critical values for the correlation coefficient ..... Critical Values for Correlation Coefficient n C. D. 3 0.997 Ay 20- 4 0.950 20- 0.878 0.811 7 0.754 8 0.707 9 0.666 0- 0- 10 10 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 than the critical value for this data set, linear relation exists between x and y. greater 25 0.396 not greater 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 Print Done is
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

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