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Comment on the graphical comparison between the estimates obtained with the automatically selected spans in Problem 8 and the estimate obtained from Friedman's smoother using the cross-validation span in Problem 1.

Problem 8

Smooth the data set cars from Problem 1 using Cleveland's smoother. Choose a reasonable value for the span using trial and error. Why does this span appear to be a good choice?

Comment on the graphical comparison of the estimate using the trial and error span with the estimates found using the span chosen by the two cross-validation validation methods (aicc and gcv).

Problem 1

The data set cars from Ezekiel (1930) contains stopping distances for various speeds. Smooth the data using Friedman's smoother by choosing your own value of the span. Use dist as the dependent (response) variable and speed as the independent (predictor) variable. Using trial and error, what seems to be a reasonable span? Comment on the graphical comparison between the estimate using your choice of span with the estimate using the span chosen by cross-validation.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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