(New page: Since the equation for the correlation coefficient is <math> p(x,y) = \fraq{cov(X,Y)}{\sqrt{var(X)}\sqrt{var(Y)}} </math>)
 
 
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Since the equation for the correlation coefficient is
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a)Does any one know what to do to the variance when multiplied by a number? I know that when added together:
  
<math> p(x,y) = \fraq{cov(X,Y)}{\sqrt{var(X)}\sqrt{var(Y)}} </math>
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<math> Z = X + Y => Var(Z) = Var(X + Y) </math>
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I seem to remember something like:
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<math> Z = aX => Var(Z) = a^2Var(X) </math>
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This may be completely wrong... Any ideas?
 +
 
 +
b)Since the equation for the correlation coefficient is
 +
 
 +
<math> p(x,y) = \frac{cov(X,Y)}{\sqrt{var(X)}\sqrt{var(Y)}} </math>

Latest revision as of 10:10, 8 December 2008

a)Does any one know what to do to the variance when multiplied by a number? I know that when added together:

$ Z = X + Y => Var(Z) = Var(X + Y) $

I seem to remember something like:

$ Z = aX => Var(Z) = a^2Var(X) $

This may be completely wrong... Any ideas?

b)Since the equation for the correlation coefficient is

$ p(x,y) = \frac{cov(X,Y)}{\sqrt{var(X)}\sqrt{var(Y)}} $

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