The following bivariate data set contains an outlier. y 53.2 60.8 58.6 40.8 33.8 74.2 -2 7.9 70.2 74 47.9 82.9 68.3 47.5 -5 11 39 68.8 53.9 43.8 -1.8 19.8 25.6 -6.5 5.5 37.4 47.9 67.1 295.8 -274.7 What is the correlation coefficient with the outlier? What is the correlation coefficient without the outlier? Two

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The following bivariate data set contains an outlier.
y
53.2
60.8
58.6
40.8
33.8
74.2
-2
7.9
70.2
74
47.9
82.9
68.3
47.5
-5
11
39
68.8
53.9
43.8
-1.8
19.8
25.6
-6.5
5.5
37.4
47.9
67.1
295.8
-274.7
What is the correlation coefficient with the outlier?
rw =
What is the correlation coefficient without the outlier?
Two =
Transcribed Image Text:The following bivariate data set contains an outlier. y 53.2 60.8 58.6 40.8 33.8 74.2 -2 7.9 70.2 74 47.9 82.9 68.3 47.5 -5 11 39 68.8 53.9 43.8 -1.8 19.8 25.6 -6.5 5.5 37.4 47.9 67.1 295.8 -274.7 What is the correlation coefficient with the outlier? rw = What is the correlation coefficient without the outlier? Two =
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?
O Yes. Including the outlier changes the evidence regarding a linear correlation.
O No. Including the outlier does not change the evidence regarding a linear correlation.
Would you always draw the same conclusion to the above question with the addition of any outlier?
O Yes, any outlier would result in the same conclusion.
O No, a different outlier in a different problem could lead to a different conclusion.
Explain your answer to the second multiple-choice question.
Transcribed Image Text: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? O Yes. Including the outlier changes the evidence regarding a linear correlation. O No. Including the outlier does not change the evidence regarding a linear correlation. Would you always draw the same conclusion to the above question with the addition of any outlier? O Yes, any outlier would result in the same conclusion. O No, a different outlier in a different problem could lead to a different conclusion. Explain your answer to the second multiple-choice question.
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