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

Latest revision as of 11:10, 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)}} $

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva