Question

In: Statistics and Probability

Determine the correlation for the following joint probability distribution: x 2 4 2 4 y 3...

Determine the correlation for the following joint probability distribution:

x

2

4

2

4

y

3

4

5

6

fx,y(x,y)

1/8

1/4

1/2

1/8

a.

Correlation = 0.6387

b.

Correlation = 0.0377

c.

Correlation = 0.3737

d.

Correlation = 0.8023

Expert Solution

Given,

x	y	fx,y(x,y)	f(x,y)
2	3	1/8	0.125
4	4	1/4	0.250
2	5	1/2	0.500
4	6	1/8	0.125

correlation:


2	3	0.125	0.75	0.25	0.5	0.375	1.125
4	4	0.25	4	1	4	1	4
2	5	0.5	5	1	2	2.5	12.5
4	6	0.125	3	0.5	2	0.75	4.5
		1	12.75	2.75	8.5	4.625	22.125

Correlation = 0.0377

Answer :

b.

Correlation = 0.0377

orchestra answered 2 years ago

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