1 Siérra College Home S Sierra College Libraryy! Yahoo!O YouTubeHP ConnectemThe following bivariate data set contains an outlier.y44.989.643.4138333.1-1384.834.4-2298.247.6-339.530.1-676.147.6-404.935.3500.947.4-1435.242-1009.429.3-743.544.3502.144.8864.246.6-828.7102.5-342.5What is the correlation coefficient with the outlier?rw =What is the correlation coefficient without the outlier?arch for anything近

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Description: 1 Siérra College Home S Sierra College Libraryy! Yahoo!O YouTubeHP ConnectemThe following bivariate data set contains an outlier.y44.989.643.4138333.1-1384.834.4-2298.247.6-339.530.1-676.147.6-404.935.3500.947.4-1435.242-1009.429.3-743.544.3502.144.

The data is given as: x y 44.9 89.6 43.4 1383 33.1 -1384.8 34.4 -2298.2 47.6 -339.5…

Answered: The following bivariate data set…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1 Siérra College Home S Sierra College Library
y! Yahoo!
O YouTube
HP Connectem
The following bivariate data set contains an outlier.
y
44.9
89.6
43.4
1383
33.1
-1384.8
34.4
-2298.2
47.6
-339.5
30.1
-676.1
47.6
-404.9
35.3
500.9
47.4
-1435.2
42
-1009.4
29.3
-743.5
44.3
502.1
44.8
864.2
46.6
-828.7
102.5
-342.5
What is the correlation coefficient with the outlier?
rw =
What is the correlation coefficient without the outlier?
arch for anything
近

Expert Solution

Step 1

The data is given as:

x	y
44.9	89.6
43.4	1383
33.1	-1384.8
34.4	-2298.2
47.6	-339.5
30.1	-676.1
47.6	-404.9
35.3	500.9
47.4	-1435.2
42	-1009.4
29.3	-743.5
44.3	502.1
44.8	864.2
46.6	-828.7
102.5	-342.5

The correlation between the two variables x & y is obtained as:

$C o r r e l a t i o n : r_{x y} = \frac{\frac{1}{n} \sum_{i = 1}^{n} (x_{i} - \bar{x}) (y_{i} - \bar{y})}{\sqrt{\frac{1}{n} \sum_{i = 1}^{n} {(x_{i} - \bar{x})}^{2}} \sqrt{\frac{1}{n} \sum_{i = 1}^{n} {(y_{i} - \bar{y})}^{2}}} n u m b e r o f o b s e r v a t i o n s : n = 15 m e a n o f x : \bar{x} = 44.89 m e a n o f y : \bar{y} = - 408 i^{t h} o b s e r v a t i o n o f x : x_{i}, i = 1 (1) 15 i^{t h} o b s e r v a t i o n o f y : y_{i,} i = 1 (1) 15$

Step 2

The correlation between x & y is obtained as:

$T h e r e f o r e, t h e c o r r e l a t i o n i s g i v e n b y : r_{w} = 0.133$

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