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Is X and Y from a pair of random variables such that : summation of X=5...

Is X and Y from a pair of random variables such that :

summation of X=5 Summation of Y=3 Summation of X2 = 30 Summation of Y2 =15 Summation of XY=20

if the variable has 10 observed  values then the estimated value of Y when X =  3.1?

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Answer #1

The estimated equation of line of regression of y on x is

where

= - 0.0364

=0.6727  

Thus estimated line of regression is

For x = 3.1

Thus for x=3.1 estimated value of y = 2.05

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