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For the horseshoe crab data, fit the logistic regression model with x = weight as the sole predictor of the presence of satellites. a. For a classification table using the sample proportion of 0.642 as the cutoff, report the sensitivity and specificity. Interpret.b. Form a ROC curve, and report and interpret the area under it.c. Investigate the model goodness-of-fit using the Hosmer-Lemeshow statistic or some other model-checking approach. Interpret. d. Inferentially compare the model to the model with x and x2 as predictors.e. Compare the models in (d) using the AIC. Interpret.
Problem 4.1 A study used logistic regression to determine characteristics associated with Y = whether a cancer patient achieved remission (1 = yes). The most important explanatory variable was a labeling index (LI) that measures proliferative activity of cells after a patient receives an injection of tritiated thymidine. It represents the percentage of cells that are "labeled." Table 4.8 shows the grouped data. Software reports Table 4.9 for a logistic regression model using LI to predict π = P(Y = 1).
a. Show how software obtained πˆ = 0.068 when LI = 8. b. Show that = 0.50 when LI = 26.0. c. Show that the rate of change in is 0.009 when LI = 8 and is 0.036 when LI = 26. d. The lower quartile and upper quartile for LI are 14 and 28. Show that πˆ increases by 0.42, from 0.15 to 0.57, between those values. e. When LI increases by 1, show the estimated odds of remission multiply by 1.16.
First k is repeated (possibly by using some of the first k flips). Show that the expected number of additional flips after the initial k is 2^k?
Flu cases this past season in the Oshkosh school system were about 15 per week. For the entire state, the weekly average is 16 and the standard deviation, 2.35.
a brewerys filling machine is adjusted to fill bottles with a mean of 31.2 oz. of ale and a variance of 0.003.
what does p .05 mean? what are some misconceptions about the meaning of p .05? why are they wrong? should all
for 30 randomly selected rolling stones concerts the mean gross earnings is 2.9 million dollars. assuming a population
clarkson university surveyed alumni to learn more about what they think of clarkson. one part of the survey asked
an insurance policy costs 100 and will pay policyholders 10000 if they suffer a major injury or 3000 if they suffer a
Suppose you receive a shipment of 33 computers, two of which are defective. What is the probability of picking a sample of 6 computers with exactly one bad computer in it? a girl is seated at each end of the row?
If a worker is chosen at random, what is the probability that he or she.Is very improbable to switch jobs. Is somewhat likely or very likely to switch jobs.
annual starting salaries for college graduates with degrees in business adminstration are generally expected to be
At this point, he would then ask you if you wanted to switch to the other door before revealing what you had won. Is it to your advantage to switch? (Hint: The answer might depend on p.)
18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly two of the three writing instruments?
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