The following bivariate data set contains an outlier.

x	y
64.7	73.3
58.7	67.3
52.7	84.7
36.4	74.5
65.7	71.9
57.2	64.6
58	74.7
63.2	67.5
68.4	67
55.5	83.5
72.7	60.5
59.8	63.1
69.5	58.1
66	65.8
181.6	164.5

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 regarding a 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.

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.