Suppose that instead of estimators of the form aX+e , we consider estimators of the form Θˆ=aX and ask for the value of a that m
inimizes the mean squared error. Mimic the derivation you have just seen and find the optimal value of a . Your answer should be an algebraic expression involving some of the constants b , c , d , where b=E[Θ2] , c=E[ΘX] , d=E[X2] .
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slope m = - 2 → B
calculate m using the ' gradient formula '
m = (y₂ - y₁)/(x₂ - x₁)
choosing 2 'clear ' coordinates from the graph of the line
(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5) =
= - 2
m =