Question: Locally estimated scatterplot smoothing is then given by the following procedure. Given an input x ER, we do weighted linear regression with weights Hi(x) =

Locally estimated scatterplot smoothing is then given by the following procedure. Given an input x ER, we do weighted linear regression with weights Hi(x) = (1 - cx; 21") to find coefficients a, b (so these depend on x) and say our prediction is for the output is ax +b. Here c is a constant to be chosen. (e) Explain why the inventors of locally estimated scatterplot smoothing might have picked the weights to be Hi(x) = (1 - c2; - |), and give guidelines for choosing c. You do not need to do any computations or give any proofs

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