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- C Clever | Portal gi (7) Jessica Robins | Microsoft Te x di (7) Plumley 5th hour Algebra O x 9 Schoology + A dpscd.schoology.com/common-assessment-delivery/start/3436203056?action=Donresume&submissionld=329615655 Chapter 2 Assessment 5 of 15 Line A passes through the point (5,6) and (7,8) is this enough information to form a line? Explain. B I 0 / 10000 Word Limit 9 10 1 3 4 6 7 Next > 2 • i 12:35 星D21. (Risk minimization and a simplified binary classifier) In lecture, we learnt about the Neyman-Pearson framework: we seek to find a "best" critical region that maximizes the power of the test while main- taining a given significance level. Another major paradigm in the literature to define a “best” critical region is known as risk minimization that we now introduce. Let X ~ N(μ, 1). We are interested in testing Ho p=0, H₁ : µ = 1. As we only have a single sample X, we intend to use the test statistic T and critical region C to be respectively T=X, C= {X> c}, where c> 0 is a constant. Let be the standard normal cdf. (a) Prove that the probability of type I error is a(c) = 1 − (c). The bracket of c on the left hand side is to indicate the dependence on c of a, that is, a is a function of c. (b) Prove that the probability of type II error is B(c) = (c− 1). The bracket of c on the left hand side is to indicate the dependence on c of ẞ, that is, ẞ is a function of c. (c) Define the risk R…
- For the horseshoe crab data with width, colors, and spine as predictors, suppose you start a backward elimination process with the most complex model possible Denoted by C ∗ S ∗ W, it uses main effects for each term as well as the three two-factor interactions and the three-factor interaction Conduct a likelihood-ratio test comparing this model to the simpler model that removes the three-factor interaction term but has all the two-factor interactions. Does this suggest that the three-factor term can be removed from the model? At the next stage, if we were to drop one term, explain why we would select model C ∗ S + C ∗ WIn the vast country of China lives one of the critically endangered species in the world, called the South China Tiger. Suppose enough jungle preserve is set aside so that there is suffcient room for more territories of this tiger specie than there are actual South China Tigers themselves. Hence, there will be no danger of overcrowding. But if the population is too small, the South China Tigers will have difficulty finding each other during mating season. 1. Identify the independent and dependent variables, and the parameters to be used. 2. Construct a population model based on the relevant assumptions. 3. Write a differential equation that models the population of South China Tigers.Consider the following population model for household consumption: cons = a + b1 * inc+ b2 * educ+ b3 * hhsize + u where cons is consumption, inc is income, educ is the education level of household head, hhsize is the size of a household. Suppose a researcher estimates the model and gets the predicted value, cons_hat, and then runs a regression of cons_hat on educ, inc, and hhsize. Which of the following choice is correct and please explain why. A) be certain that R^2 = 1 B) be certain that R^2 = 0 C) be certain that R^2 is less than 1 but greater than 0. D) not be certain
- An organization for people with high IQ, and eligibility requires an IQ above 131.5. Suppose the IQ scores are normally distributed with a mean of 102.5 and standard deviation of 16.1. If someone wants to join the organization, what is the probability that he or she meets the organization’s requirement?Phoebe gathers data and estimates many di¤erent regression models. All of them suggest that children who have more books at home have fewer cavities. Phoebe doesnt think this result is important because: a.) There is clearly selection bias, kids who have lots of books at come from higher income and better educated families.b.) The data on cavities is certainly heteroskedasticc.) Phoebe only used ordinary least squares in her model, should have used weighted least squares d.) Phoebe didnt use a high enough con dence levelCan someone please explain it to me ASAP??!!!
- Public C Clever | Portal 8 Industrial Revolution Unit 2021 x Schoology (36) M rictims.seattleschools.org/common-assessment-delivery/start/4914604058?action=onresume&submissionld=527661679 y = 80(7) y = 80(4)* y = 80()* y = -80(7)" :: :: Schoology - Googl.. Microsoft Teams DELL4. Areal estate company wants to study the relationship between Home price in OMR 1000) and the following variables: Floor size (in 100 square feet (X 1 ) , Type of Heating (X 2 =1 if electricity and X 2 =0,if Gas) , Location of home (X 3 =1 if in town and X 3 =0 , if in village). Use this to answer the following questions: Then the degrees of freedom of Fstatistic for finding critical value is A . r 1 =3,r 2 =10 B. None C. r 1 =11,r 2 =3 D. r 1 =3,r 2 =11 E. r 1 =10; r 2 =34. Given the following data, do a quadratic least squares polynomial fit using P2(r) = ao + a1r + azx?. Yi Yi Yi -1.0 7.904 -0.3 0.335 0.4 -0.711 0.224 0.689 -0.9 7.452 -0.2 -0.271 0.5 -0.8 5.827 -0.1 -0.963 0.6 0.7 -0.7 4.400 -0.847 0.861 -0.6 2.908 0.1 -1.278 0.8 1.358 -0.5 2.144 0.2 -1.335 0.9 2.613 -0.4 0.581 0.3 -0.656 1.0 4.599
