The aim of this exercise is to show that -1ltpxylt1 for any, Ask an Expert

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The aim of this exercise is to show that -1<=p(X,Y)<=1 for any pair (X,Y) of random variables, where p(X,Y) is the correlation coefficient

a) express f(t)=var(X+tY)=at^2+bt+c using the bilinearity of covariance

b) Why do we have b^2-4ac<=0? Hint: Quadratic Formula

c) Express p(X,Y) as a function of a,b,c and show that -1<=p(X,Y)<=1

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91014006

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