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Question:

The following bivariate data set contains an outlier. (In the picture attached*)

a)What is the correlation coefficientwiththe outlier?

r_w=_______

b)What is the correlation coefficientwithoutthe outlier?

r_wo=______

*For the next questions, consider that there is more than the existence or non-existence of correlation. There can also be:

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

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

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

d)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.

e)Explain the answer to the second multiple-choice question. (i.e: explain the answer to part d*)

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. Question 1 5 pts 9 1 The following bivariate data set contains an outlier. X 42.9 97.4 28.5 105.7 31 108. 1 48.2 94.7 23.9 123 41.5 50.5 50.7 68.1 39.6 47.5 58.9 50.5 43.8 60.4 25.1 98.2 44.4 92.5 47.6 54.9 43.6 57.8 163.9 349.5 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? OYes. Including the outlier changes the evidence regarding a linear correlation. ONo. 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? OYes, any outlier would result in the same conclusion. ONo, a different outlier in a different problem could lead to a different conclusion. Explain your answer to the second multiple-choice question. Edit * Insert Formats . B / U X, x|A