he following bivariate data set contains an outlier. x y 74.8 -4.1 64.8 22.7 63.4 26.8 83.5 89.7 67 18 68.4 95.5 57.1 29.6 74.6 134.1 66.9 139.6 73.5 71.5 78.8 48.6 82.6 111.2 81.4 72.2 54.9 -16.7 169.3 -485.6 What is the correlation coefficient with the outlier? rw = What is the correlation coefficient without the outlier? rwo = For the next questions, I want you to consider that there is more than the existence or non-existence of correlation. You can have: Strong positive correlation Moderate positive correlation No correlation Moderate negative correlation Strong negative correlation Would inclusion of the outlier change the evidence for or against a significant linear correlation at 5% significance? No. Including the outlier does not change the evidence regarding a linear correlation. Yes. Including the outlier changes the evidence regarding a linear correlation. Would you always draw the same conclusion to the above question with the addition of any outlier? Yes, any outlier would result in the same conclusion. No, a different outlier in a different problem could lead to a different conclusion. Explain your answer to the second multiple-choice question.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

The following bivariate data set contains an outlier.

x	y
74.8	-4.1
64.8	22.7
63.4	26.8
83.5	89.7
67	18
68.4	95.5
57.1	29.6
74.6	134.1
66.9	139.6
73.5	71.5
78.8	48.6
82.6	111.2
81.4	72.2
54.9	-16.7
169.3	-485.6

What is the correlation coefficient with the outlier?
r_w =

What is the correlation coefficient without the outlier?
r_wo =

For the next questions, I want you to consider that there is more than the existence or non-existence of correlation. You can have:

Strong positive correlation
Moderate positive correlation
No correlation
Moderate negative correlation
Strong negative correlation

Would inclusion of the outlier change the evidence for or against a significant linear correlation at 5% significance?

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

Would you always draw the same conclusion to the above question with the addition of any outlier?