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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.
Factor the polynomial completely. Factor each completely given that the binomial following it is a factor of the polynomial.
Determine probability of generating six digits and getting code consisting of 1, 2, 3, ..., 6 if each digit can be repeated?
What makes spreadsheets so revolutionary?
Test the hypothesis of no differences for average payback period (years) necessary to justify solar heating systems for residences.
the probabilities that a service station will pump gas into 0 1 2 3 4 or 5 or more cars during a certain 30-minute
at a psychology final exam the scores are normally distributed with a mean 73 points and a standard deviation of 10.6
a) What statistical test should be used to analyze these data? b) Identify H0 and Ha for this study. c) Conduct the appropriate analysis d) Should H0 be rejected? What should the researcher conclude?
The team wins 55% of their night games, and 85% of their day games. According to today's newspaper, they won yesterday. What is the probability the game was played at night?
A committe studying employer-employee relations proposed that a rating system be adopted. Each employee would rate his or her inmediate supervisor and in turn the supervisor would rate each employee.
Their probabilities for success on a single play are p for A and q for B, and successive plays are independent. Determine the probablity that A wins the contest given A plays first.
indicate whether each statement refers to a uniformly distributed variable normally distributed variable andor an
the population mean annual salary for rns is 63400. a random sample of 32 rns is selected from this population. assume
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