The following bivariate data set contains an outlier.
x |
y |
1.3 |
1400.5 |
49.2 |
1721.2 |
21.2 |
-1741.3 |
39.2 |
-2744.6 |
10.6 |
983 |
35 |
-2272.2 |
-29.2 |
389.7 |
36.4 |
-144.6 |
31.1 |
-680.3 |
17.6 |
-451 |
-22 |
-1490.3 |
38.9 |
-2441.5 |
22 |
-1419.7 |
31.8 |
549.3 |
284.4 |
15118.6 |
What is the correlation coefficient with the outlier?
rw =
(Round to three decimal places)
What is the correlation coefficient without the outlier?
rwo =
(Round to three decimal places)
a) With outlier:
Statistics software output:
Hence, r = 0.879 (rounded to 3 decimal places)
b) The last data point is the outlier. When we remove it then statistics software output:
Hence, r = -0.181 (rounded to 3 decimals)
I hope this will help. Thank you.
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