The following bivariate data set contains an outlier. X y 53 -2633.5 39.8 -425.5 66.2 -3345.2 66.7 3265.7 64.4 967.1 50.7 973.8 47.1 -603.8 25.3 851.5 23.3 1832.8 38.1 1726.6 58.1 869 43.6 998.5 59.8 -3427 59.7 -438 196.9 23343.8 What is the correlation coefficient with the outlier? rw = three decimal places.] [Round your answer to What is the correlation coefficient without the outlier? rwo = to three decimal places.] [Round your answer Would inclusion of the outlier change the evidence for or against 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. Question for thought: Would you always draw the same conclusion with the addition of an outlier?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The following bivariate data set contains an outlier.
X
y
53
-2633.5
39.8
-425.5
66.2 -3345.2
66.7 3265.7
64.4
967.1
50.7
973.8
47.1
-603.8
25.3
851.5
23.3 1832.8
38.1
1726.6
58.1
869
43.6
998.5
59.8
-3427
59.7
-438
196.9
23343.8
What is the correlation coefficient with the outlier?
rw
=
three decimal places.]
[Round your answer to
What is the correlation coefficient without the outlier?
rwo =
to three decimal places.]
[Round your answer
Would inclusion of the outlier change the evidence for or
against 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.
Question for thought: Would you always draw the same
conclusion with the addition of an outlier?
Transcribed Image Text:The following bivariate data set contains an outlier. X y 53 -2633.5 39.8 -425.5 66.2 -3345.2 66.7 3265.7 64.4 967.1 50.7 973.8 47.1 -603.8 25.3 851.5 23.3 1832.8 38.1 1726.6 58.1 869 43.6 998.5 59.8 -3427 59.7 -438 196.9 23343.8 What is the correlation coefficient with the outlier? rw = three decimal places.] [Round your answer to What is the correlation coefficient without the outlier? rwo = to three decimal places.] [Round your answer Would inclusion of the outlier change the evidence for or against 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. Question for thought: Would you always draw the same conclusion with the addition of an outlier?
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