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- What situations are best modeled by a logistic equation? Give an example, and state a case for why the example is a good fit.A study is conducted to investigate the association between income level and political party affiliation in the USA. Income level has 5 levels: Lowest (lowest 20-th percentile), low, middle, high, and very high (top 20-th percentile). Political party has 3 categories: Democratic (D), Independent (I), and Republican (R). A baseline category logit multinomial is fit on the 3 response categories using covariate of income level as ordinal (with scores 1, 2, 3, 4, and 5 for the categories lowest, low, middle, high and very high respectively). Base category of response is Independent. The fitted model is log(ˆπD/πˆI ) = 3.3 − 0.2x and log(ˆπR/πˆI ) = 1.0 + 0.3x, where x=1,2,3,4,5 (poverty levels as numeric/ordinal), πD is the probability of being Democrat, πI is the probability of being Independent, and πR is the probability of being Republican. a. Comparing the chances/probability of being Republican to Independent, interpret the effect of income level increases on the odds (of being…Fruit flies have built-in circadian rhythms that keep time in the absence of external stimuli. Several genes have been shown to be involved in internal timekeeping, including per (period) and tim (timeless). Mutations in these two genes, and in other genes, disrupt timekeeping abilities. Interestingly, these genes have also been shown to be involved in other time-related behavior. Individuals that carry particular mutations of per and tim have been shown to copulate for longer than individuals that have neither mutation. The following table summarizes some data on the duration of copulation for flies that carry either the per mutation or the tim mutation: Mutation Mean copulation duration (min) Standard deviation Sample size per 17.5 3.37 14 tim 19.9 2.47 17 Do the populations carrying these mutations have different variances in copulation durations? Carry out the appropriate test using α =0:05 Do these two mutations lead to different mean…
- Tree-ring dating from archaeological excavation sites is used in conjunction with other chronologic evidence to estimate occupation dates of prehistoric Indian ruins in the southwestern United States. Suppose it is thought that a certain pueblo was occupied around 1294 A.D. (based on evidence from potsherds and stone tools). The following data give tree-ring dates (A.D.) from adjacent archaeological sites: 1189 1267 1268 1275 1275 1271 1272 1316 1317 1230 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to one decimal place.) x = A.D. s = yr ii-What is the value of the sample test statistic? (Round your answer to three decimal places.)Choose the best answer, and explain. If X is a random variable with a lognormal distribution, then _______ a) the mean of X is always greater than the median. b) the mean of X is always less than the median. c) the mean may be greater than, less than, or equal to the median, depending on the value of σ.Please tapy answer A. What is latent variable in the probit model? B. Which estimator will you choose to estimate a logit model? C. What is the “count R-square” for the probit model? D.What method can you use to estimate parameters of a sample selection data? E. can the, MLE be used to estimate parameters of a sample selection data?
- Laptop Computers and Sperm CountStudies have shown that heating the scrotum by just 1∘C can reduce sperm count and sperm quality, so men concerned about fertility are cautioned to avoid too much time in the hot tub or sauna. A new study1 suggests that men also keep their laptop computers off their laps. The study measured scrotal temperature in 29 healthy male volunteers as they sat with legs together and a laptop computer on the lap. Temperature increase in the left scrotum over a 60-minute session is given as 2.31±0.96 and a note tells us that "Temperatures are given as ∘ C; values are shown as mean ±SD." The abbreviation SD stands for standard deviation. (Men who sit with their legs together without a laptop computer do not show an increase in temperature.)1Sheynkin, Y., et al., "Protection from scrotal hyperthermia in laptop computer users," Fertility and Sterility, February 2011; 92(2): 647–651. Condition gt requires numbers instead of "null" and "0" (a) If we…Suppose that you wish to estimate the effect of class attendance on student performance. A basic model is examscore = β0 + β1attendance + β2priorGP A + u where examscore is students’ score on the exam (from 1 to 6), attendance is the number of TA sessions attended on Zoom (from 0 to 9), and priorGPA is the average exam grade last year. (a) Let internet be the quality of internet at the student’s study place. Do you think internet satisfies the independence assumption? What about the exclusion restriction? (b) Assuming that internet satisfies the conditions above, what other condition must internet satisfy in order to be a valid IV for attendance? (c) Suppose, we add the interaction term priorGP A × attendance. Interpret the coefficient on the interaction term. (d) (Difficult) If attendance is endogenous, then, in general, so is priorGP A × attendance. What might be a good IV for priorGP A × attendance?Clocking the Cheetah. The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60 mph and, according to the online document “Cheetah Conservation in Southern Africa” (Trade&Environment Database (TED) Case Studies, Vol. 8, No. 2) by J. Urbaniak, the cheetah is capable of speeds up to 72 mph. Following is a frequency histogram for the speeds, in miles per hour, for a sample of 35 cheetahs.
- A local group claims that police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select two weeks. Their research yields the number of tickets issued for each day. The data are listed below. At α = 0.05, test the group’s claim. Interpret your results. 70 48 41 68 69 55 70 57 60 83 32 60 72 58Scenario: A researcher wants to determine whether the volume of orders placed, in thousands, can predict whether an entry error was committed (yes or no). Which research analysis is most appropriate? Group of answer choices a. ANOVA b. Binary Logistic Regression c. Chi-square Contingency Table d. Non-parametric e. RegressionThe mango is considered the "king of fruits" in many parts of the world. Mangoes are generally harvested at the mature green stage and ripen up during the marketing process of transport, storage, and so on. During this process, about 30% of the fruit is wasted. Because of this, the impact of harvest stage and storage conditions on the postharvest quality are of interest. In this experiment, the fruit was harvested at 80, 95, or 110 days after the fruit setting (the transition from flower to fruit) and then stored at temperatures of 20∘C, 30∘C, or 40∘C. For each harvest time and storage temperature, a random sample of mangoes was selected, and the time to ripening was measured. What are the factors, the treatments, and the response variables? Take each item from the answer bank and place into the appropriate category.
