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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Check whether the data in this problem satisfy the Hawkins–Simoncondition.1. (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.What measures of fit are typically used to assess binary dependent variableregression models?
- Table 7 gives the number of visitors per year at YosemiteNational Park.(a) Find the least-squares line for these data.(b) Estimate the number of visitors in 2017.Foofy obtained a significant Fobt from an experiment with five levels. She therefore concludes that changing every condition of the independent variable results in a significant change in the dependent variable. (a) Is she correct? Why or why not? (b) What must she now do?Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure <1 1 to <5 ≥5 Diseased 14 13 18 Sensitized 11 20 15 Normal 78 140 209 Test the hypothesis of independence. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? State the null and alternate hypotheses.
- The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)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. 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
