The following bivariate data set contains an outlier. x y 17.8 -175 26.8 356.7 33.9 353.1 32.2 23.5 36.9 250.8 15.2 163.8 28.3 180 10.8 -548.2 24.5 146.7 12.6 -55.8 47.8 78.4 15.6 305.7 17.4 253.6 16.9 -287.6 158.8 3071.4 What is the correlation coefficient with the outlier? rw = What is the correlation coefficient without the outlier? rwo = Would inclusion of the outlier change the evidence for or against a significant linear correlation? No. Including the outlier does not change the evidence regarding a linear correlation. Yes. Including the outlier changes the evidence regarding a linear correlation.
The following bivariate data set contains an outlier. x y 17.8 -175 26.8 356.7 33.9 353.1 32.2 23.5 36.9 250.8 15.2 163.8 28.3 180 10.8 -548.2 24.5 146.7 12.6 -55.8 47.8 78.4 15.6 305.7 17.4 253.6 16.9 -287.6 158.8 3071.4 What is the correlation coefficient with the outlier? rw = What is the correlation coefficient without the outlier? rwo = Would inclusion of the outlier change the evidence for or against a significant linear correlation? No. Including the outlier does not change the evidence regarding a linear correlation. Yes. Including the outlier changes the evidence regarding a linear correlation.
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
Related questions
Question
The following bivariate data set contains an outlier.
x | y |
---|---|
17.8 | -175 |
26.8 | 356.7 |
33.9 | 353.1 |
32.2 | 23.5 |
36.9 | 250.8 |
15.2 | 163.8 |
28.3 | 180 |
10.8 | -548.2 |
24.5 | 146.7 |
12.6 | -55.8 |
47.8 | 78.4 |
15.6 | 305.7 |
17.4 | 253.6 |
16.9 | -287.6 |
158.8 | 3071.4 |
What is the
rw =
What is the correlation coefficient without the outlier?
rwo =
Would inclusion of the outlier change the evidence for or against a significant
- No. Including the outlier does not change the evidence regarding a linear correlation.
- Yes. Including the outlier changes 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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