An experimenter notices the residuals from a robust regressi

An experimenter notices the residuals from a robust regression tend to be larger in absolute value than the residuals from an OLS regression. Explain why this result not be surprising. What does it mean to find the zeroes of the function f(x)? What does it mean to say the Newton-Raphson technique is an iterative procedure. Why is a 95% prediction Interval wider than a 95% confidence interval?

Solution

5)

To find zeroes of the function f(x) means that you need to find the values that change the slope or curve of the function

6) that means that the steps are interative , for example you use newton raphson in the step 1, then you will use the same procedure but with the answer of the step 1 and so on...

7)

Suppose that you randomly sample light bulbs and measure the burn time. Minitab calculates that the 95% confidence interval is 1230 – 1265 hours. The confidence interval indicates that you can be 95% confident that the mean for the entire population of light bulbs falls within this range.

 An experimenter notices the residuals from a robust regression tend to be larger in absolute value than the residuals from an OLS regression. Explain why this

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