Bilinearity of covariance, Basic Statistics

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Bilinearity of covariance

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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Basic Statistics: Bilinearity of covariance

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Basic Statistics: Bilinearity of covariance

Reference No:- TGS0743940

Have a Question? (oR Write a Review)

Recent Questions Asked Basic Statistics

Q : What are the concentrations of the lead and hydroxide

Q : Develop equation to find ratio of streptomycin solution

Q : Minimum cross section area of piston used to lift the truck

Q : What is the difference between emission and absorption

Q : Bilinearity of covariance

Q : How much of the naoh solution should be added

Q : What is the force on the test charge now

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Request for Solution File

Ask an Expert for Answer!!

Basic Statistics: Bilinearity of covariance

Reference No:- TGS0743940

Recent Questions Asked Basic Statistics

Q : What are the concentrations of the lead and hydroxide

Q : Develop equation to find ratio of streptomycin solution

Q : Minimum cross section area of piston used to lift the truck

Q : What is the difference between emission and absorption

Q : Bilinearity of covariance

Q : How much of the naoh solution should be added

Q : What is the force on the test charge now

Q : Approximate percentage of the men

Q : Find final pressure of water in psia-total internal energy

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