Using R with a Normal(θ, 1) distribution: 28, 33, 22, 35, 31 lets estimate θ by...

Using R with a Normal(θ, 1) distribution: 28, 33, 22, 35, 31 lets estimate θ by minimizing residuals.

Using the L2 norm squared;

1. What is the function sp(θ) we would like to minimize?

2. Graph sp(θ).

3. Using the Bisection Method find the Minimum Residual Estimator for θ correct, 2 dec. places.

4. If using Newton’s Method for this optimization problem, what is the refinement increment h(t)?

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Expert Solution

orchestra answered 1 year ago

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