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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.
Assume that both samples are independant simple random samples from populations having normal distributions.
reported crimes are believed to occur at random at different rates for different types of crime. the incidence rate for
Stat 11 Spring 2011 - Homework 4. Using the sample given in (12) with Method 1a, how many people would you estimate are in the class
Generate a vector x = (x1,..., x10,000) con- sisting of 10,000 random standard Normals. Let y = (y1,..., y10,000) where yi = exi . Draw a histogram of y and compare it to the pdf you found in part (a).
There are two types of dependent samples: Those that measure something before and after an "event" and those that matching two samples of the same phenomena being observed. Which of the following is NOT true about such a test:
The tail probabilities given above be affected if the > signs in the inequalities were replaced by ? Explain briefly. Why are the absolute value signs used in the two-tail probability expressions above?
find the following z-scores for the standard normal distribution. round to three decimal places.1. z0.152.
you are picking a bouquet of 20 flowers for your mother at random from a garden with 25 coneflowers 35 daisies and 42
The cost of gasoline will decrease or stay the same over the next 30 days because of summer holiday travel. What is your alternative hypothesis statement?
Use Excel and the data to test whether the mean alcohol expenditures for UCM students is equal to that of SBU students using a 1 % level of significance.
A random sample of the lifetime of 49 UltraIllum light bulbs has a mean of 3,960 hours and a standard deviation of 200 hours. Construct a 95% confidence interval estimate of the mean lifetime for all UltraIllum light bulbs.
Find N(A), R(A), N(A^T),R(A^T). Show that the fundamental subspace theorem holds: N(A^T)=R(A)^(upside down T), N(A)=R(A^T)^(upsidedown T). Hint: Notice that the fourth row is the sum of the first three rows.
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