13.3 -10.5 20.3 -959.8 20.8 93.6 30.7 -270.9 37.5 -1274.5 11 -334 1.4 -218.6 20.7 923.1 27.6 694.7 145.8 -10329.4 What is the correlation coefficient with the outlier? What is the correlation coefficient without the outlier? wo = Would inclusion of the outlier chànge the evidence for or against a significant linear correlati O Yes. Including the óutlier changes the evidence regarding a linear correlation. O No. Including the outlier does not change the evidence regarding a linear correlation.

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 following bivariate data set contains an outlier.

|   x   |     y     |
|------|---------|
|  7.3  |  1743.8  |
| 30.7 | -1050.9  |
| 23.6 |   638.1  |
| 16.4 | -1226.4  |
| 27.6 |  -708    |
| 13.3 |   -10.5  |
| 20.3 |  -959.8  |
| 20.8 |    93.6  |
| 30.7 |  -270.9  |
| 37.5 | -1274.5  |
|  11   |  -334    |
|  1.4  |  -218.6  |
| 20.7 |   923.1  |
| 27.6 |   694.7  |
|145.8| -10329.4|

**Questions**

1. What is the correlation coefficient with the outlier?
   \[
   r_w = 
   \]

2. What is the correlation coefficient without the outlier?
   \[
   r_{wo} = 
   \]

3. Would inclusion of the outlier change the evidence for or against a significant linear correlation?

   - ☐ Yes. Including the outlier changes the evidence regarding a linear correlation.
   - ☐ No. Including the outlier does not change the evidence regarding a linear correlation.

This table presents two variables, x and y, which appear to be related, but contain an outlier in the data. The questions guide an analysis of how the outlier affects the correlation coefficient, indicating the strength and direction of a linear relationship between x and y.
Transcribed Image Text:The following bivariate data set contains an outlier. | x | y | |------|---------| | 7.3 | 1743.8 | | 30.7 | -1050.9 | | 23.6 | 638.1 | | 16.4 | -1226.4 | | 27.6 | -708 | | 13.3 | -10.5 | | 20.3 | -959.8 | | 20.8 | 93.6 | | 30.7 | -270.9 | | 37.5 | -1274.5 | | 11 | -334 | | 1.4 | -218.6 | | 20.7 | 923.1 | | 27.6 | 694.7 | |145.8| -10329.4| **Questions** 1. What is the correlation coefficient with the outlier? \[ r_w = \] 2. What is the correlation coefficient without the outlier? \[ r_{wo} = \] 3. Would inclusion of the outlier change the evidence for or against a significant linear correlation? - ☐ Yes. Including the outlier changes the evidence regarding a linear correlation. - ☐ No. Including the outlier does not change the evidence regarding a linear correlation. This table presents two variables, x and y, which appear to be related, but contain an outlier in the data. The questions guide an analysis of how the outlier affects the correlation coefficient, indicating the strength and direction of a linear relationship between x and y.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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