(a) Calculate the correlation between X and Y, Corr(X,Y).
$begingroup$
Suppose X and Y are random variables, such that
$$E(X)=5, E(Y)=3, E(X^2)=26, E(Y^2)=13, E(XY)=10$$
We used the equation enter image description here
and got
$$r=frac{10n -(5*3)}{sqrt{[26n-26][13n-13]}}$$
we not sure what n is. any help?
probability correlation
asked May 1 '16 at 14:58
k_jana16k_jana16
64
$endgroup$
add a comment |
$begingroup$
Suppose X and Y are random variables, such that
$$E(X)=5, E(Y)=3, E(X^2)=26, E(Y^2)=13, E(XY)=10$$
We used the equation enter image description here
and got
$$r=frac{10n -(5*3)}{sqrt{[26n-26][13n-13]}}$$
we not sure what n is. any help?
probability correlation
asked May 1 '16 at 14:58
k_jana16k_jana16
64
$endgroup$
1
$begingroup$
You are using the formula for sample correlation coefficient, which is a different (though somewhat related) idea.
$endgroup$
– André Nicolas
May 1 '16 at 15:04
add a comment |
$begingroup$
Suppose X and Y are random variables, such that
$$E(X)=5, E(Y)=3, E(X^2)=26, E(Y^2)=13, E(XY)=10$$
We used the equation enter image description here
and got
$$r=frac{10n -(5*3)}{sqrt{[26n-26][13n-13]}}$$
we not sure what n is. any help?
probability correlation
asked May 1 '16 at 14:58
k_jana16k_jana16
64
$endgroup$
Suppose X and Y are random variables, such that
$$E(X)=5, E(Y)=3, E(X^2)=26, E(Y^2)=13, E(XY)=10$$
We used the equation enter image description here
and got
$$r=frac{10n -(5*3)}{sqrt{[26n-26][13n-13]}}$$
we not sure what n is. any help?
probability correlation
probability correlation
asked May 1 '16 at 14:58
k_jana16k_jana16
64
asked May 1 '16 at 14:58
k_jana16k_jana16
64
edited May 1 '16 at 15:39
user198044
asked May 1 '16 at 14:58
k_jana16k_jana16
64
asked May 1 '16 at 14:58
k_jana16k_jana16
64
asked May 1 '16 at 14:58
k_jana16k_jana16
64
64
1
$begingroup$
You are using the formula for sample correlation coefficient, which is a different (though somewhat related) idea.
$endgroup$
– André Nicolas
May 1 '16 at 15:04
add a comment |
1
$begingroup$
You are using the formula for sample correlation coefficient, which is a different (though somewhat related) idea.
$endgroup$
– André Nicolas
May 1 '16 at 15:04
1
1
$begingroup$
You are using the formula for sample correlation coefficient, which is a different (though somewhat related) idea.
$endgroup$
– André Nicolas
May 1 '16 at 15:04
$begingroup$
You are using the formula for sample correlation coefficient, which is a different (though somewhat related) idea.
$endgroup$
– André Nicolas
May 1 '16 at 15:04
add a comment |
1 Answer
1
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oldest
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$begingroup$
$Cor(X,Y)=dfrac{E(XY)-E(X)E(Y)}{sqrt{(E(X^2)-(E(X))^2)(E(Y^2)-(E(Y))^2)}}$
Now plug in the values.
answered May 1 '16 at 15:01
Landon CarterLandon Carter
7,45311644
$endgroup$
1
$begingroup$
thank you. i used the wrong equation
$endgroup$
– k_jana16
May 1 '16 at 15:03
add a comment |
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$begingroup$
$Cor(X,Y)=dfrac{E(XY)-E(X)E(Y)}{sqrt{(E(X^2)-(E(X))^2)(E(Y^2)-(E(Y))^2)}}$
Now plug in the values.
answered May 1 '16 at 15:01
Landon CarterLandon Carter
7,45311644
$endgroup$
1
$begingroup$
thank you. i used the wrong equation
$endgroup$
– k_jana16
May 1 '16 at 15:03
add a comment |
$begingroup$
$Cor(X,Y)=dfrac{E(XY)-E(X)E(Y)}{sqrt{(E(X^2)-(E(X))^2)(E(Y^2)-(E(Y))^2)}}$
Now plug in the values.
answered May 1 '16 at 15:01
Landon CarterLandon Carter
7,45311644
$endgroup$
1
$begingroup$
thank you. i used the wrong equation
$endgroup$
– k_jana16
May 1 '16 at 15:03
add a comment |
$begingroup$
$Cor(X,Y)=dfrac{E(XY)-E(X)E(Y)}{sqrt{(E(X^2)-(E(X))^2)(E(Y^2)-(E(Y))^2)}}$
Now plug in the values.
answered May 1 '16 at 15:01
Landon CarterLandon Carter
7,45311644
$endgroup$
$Cor(X,Y)=dfrac{E(XY)-E(X)E(Y)}{sqrt{(E(X^2)-(E(X))^2)(E(Y^2)-(E(Y))^2)}}$
Now plug in the values.
answered May 1 '16 at 15:01
Landon CarterLandon Carter
7,45311644
answered May 1 '16 at 15:01
Landon CarterLandon Carter
7,45311644
answered May 1 '16 at 15:01
Landon CarterLandon Carter
7,45311644
answered May 1 '16 at 15:01
Landon CarterLandon Carter
7,45311644
7,45311644
1
$begingroup$
thank you. i used the wrong equation
$endgroup$
– k_jana16
May 1 '16 at 15:03
add a comment |
1
$begingroup$
thank you. i used the wrong equation
$endgroup$
– k_jana16
May 1 '16 at 15:03
1
1
$begingroup$
thank you. i used the wrong equation
$endgroup$
– k_jana16
May 1 '16 at 15:03
$begingroup$
thank you. i used the wrong equation
$endgroup$
– k_jana16
May 1 '16 at 15:03
add a comment |
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$begingroup$
You are using the formula for sample correlation coefficient, which is a different (though somewhat related) idea.
$endgroup$
– André Nicolas
May 1 '16 at 15:04