Nonparametric methods have also been devised for regression. Here’s a simple way to estimate the slope: For each pair of subjects, the slope of the line connecting their two points is the difference between their y values divided by the difference between their x values. (See the figure.) With n subjects, we can find this slope for each pair of points. (There are n (n - 1)/2 pairs of points.) A nonparametric estimate of the slope is the median of all these slopes for the various pairs of points. The ordinary slope (least squares, minimizing the sum of squared residuals) can be strongly affected by a regression outlier. Is this true also for the nonparametric estimate of the slope? Why or why not?
Answer to relevant QuestionsConsider the population of all students at your school. A certain proportion support mandatory national service (MNS) following high school. Your friend randomly samples 20 students from the school, and uses the sample ...a. Repeat the activity using a population proportion 0.60: Take at least five samples of size 10 each, and observe how the sample proportions of the one outcome vary around 0.60, and then do the same thing with at least five ...In Exercise 1.25, of 3887 sampled subjects, 63.8% said that at least once they felt as though they were in touch with someone when they were far away. That is, of 3887 sampled subjects who had an opinion, 1407 said never and ...Smoking during pregnancy is a known cause of reduced infant birth weight and other issues that can affect the delivery and mortality. Despite this strong evidence, women who smoke find it difficult to quit even when they are ...Exercise 14.3 gave the data in the table for scores on the first quiz for ninth-grade students in an introductory-level French course. The instructor grouped the students in the course as follows: Group 1: Never studied ...
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