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Change the degree of the local polynomial in Cleveland's method to 0 (locally constant) using the argument degree (see Comment 8). Using the cars data from Problem 1, how does changing the degree affect the estimates compared to the locally linear estimates (degree=1) from Problem 8? Change the degree to 2 (locally quadratic) and compare graphically the estimate obtained to those found using degrees 0 and 1.
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.
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).
At a college, 70 percent of the students are women and 35 percent of students receive grade of C. About 20 percent of students are neither female nor C students. Use this contingency table.
would this prove that they are exceeding their goal, using α = .025?
How many cans of paint should the sample contain if the researcher wants to be 98% certain of being within one percentage point of the true proportion of this chemical?
Run a regression of sales against local income (only). Based on this regression, give an interval that you are 95% confident will contain your sales in a neighborhood with total income $200M. Do you think this regression is useful for planning you..
Suppose a single die is rolled once. You win $5 if a 1 or a 3 comes up, win $12 if a 5 comes up and lose $10 if a 2, 4, or 6 come up. What does the expected value tell you about the game?
The hospital tests five vials from each shipment. If at least one of the five is ineffective, find the conditional probability pf that shipment's having come from C.
Graph one shows a number of observations that all are directly on trend line that moves from the top left of the graph to the bottom right.
lengths of pins in mm produced by a machine follow a n mu sigma 2 distribution. find the maximum likelihood estimators
in one study of smokers who tried to quit smoking with nicotine patch therapy 39 were smoking one year after the
(a) De?ne an appropriate Markov chain to analyze this model. (b) Show that this Markov chain is time reversible. (c) Find the long-run probabilities.
Wildlife Hummingbirds Selasphorus sasin is the scientific name for what is commonly called "Allen Hummingbird" This beautiful hummingbird lives on the west coast of the United States and is named C.A. Allen
The article "The Effect of Enzyme Inducing Agents on the Survival Times of Rats Exposed to Lethal Levels of Nitrogen Dioxide" (Toxicology and Applied Pharmacology, 1978: 169-174) reports the following data on survival times for rats exposed to nit..
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