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Two data scientists are discussing a strategy to select a subset of predictors for a model with n = 5,000 observations and p = 400 predictors. The ?rst suggests that they perform a forward stepwise selection procedure starting with a null model. Of these resulting models, they would ?nally choose the one with the smallest RSS. The second objects, saying that forward stepwise selection is a greedy algorithm and is unlikely to ?nd the true optimal model. Therefore, they should instead use a best subset algorithm. Do you agree with either of the data scientists? Explain your answer.
Could mud-wrestling be the cause of a rash contracted by University of Washington students in the spring of 1992? Two physicians at the University of Washington health center wondered this when one male and six female students complained of rashes..
We say that two things have a positive relationship if they move in the same direction, or as one thing increases, so does the other. Or if one thing decreases, so does the other.
Find the estimated regression line for age (x) and repair cost (y). Conduct an F test for a significant repression, and find the bounds on the p value for this test.
If the national average was 600, is there enough evidence to conclude that the average score has decreased? Use a p-value and 5% significance.
Plot the random effects estimates (forest plot) for models (3c) and (3d) and provide with an appropriate caption
a) Use the method of moments to estimate the two parameters of the beta distribution. b) Use a quantile-quantile plot to assess the goodness of fit.
Explain whether p^ or p is the correct statistical notation for each proportion described:- The proportion that smokes in a randomly selected sample of n = 300 students in the eleventh and twelfth grades.
A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings.
Formulate a suitable null and alternative hypothesis to test the students' claim that they followed their instructor's recommendation at a 5% level of significance and interpret your findings.
Provide an estimate of this difference.- Explain why it is incorrect to use the two-sample t test to see if the means differ.
In previous tests, baseballs were dropped 24ft onto a concrete surface, and they bounced an average of 92.84% in. In a test of a sample of 40 new balls, the bounce had a mean of 92.67 in.
Scores on a management aptitude examination are believed to be normally distributed with mean 650 (out of a total of 800 possible points).
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