For the simple linear regression model, show that the elements of the hat matrix are 1...

 

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For the simple linear regression model, show that the elements of the hat matrix are 1 (x - x) (x - x) hi == + and hi n Sxxx 1(x-x) = (x,-) ==+ n Sxx Discuss the behavior of these quantities as x, moves farther from x, For the simple linear regression model, show that the elements of the hat matrix are 1 (x - x) (x - x) hi == + and hi n Sxxx 1(x-x) = (x,-) ==+ n Sxx Discuss the behavior of these quantities as x, moves farther from x,