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- A medical researcher conducted an observational study to understand the recovery rate for patients infected with the COVID-19 in Malaysia. The researcher contacted thirteen COVID-19 survivors and interviewed them regarding their recovery experience. Two of the questions asked are the recovery period (in days) and the number of days that have passed since receiving the second dose of COVID-19 vaccine prior to infection. The recorded data is summarized as (at the image files). i) Identify the dependent variable in the study. ii) Calculate the correlation coefficient and interpret its value. iii) Estimate the regression model parameters and write the estimated linear regression model. iv) Based on your answer in iii), predict the recovery period if a person is infected with COVID-19 after 200 days of receiving second dose of COVID-19 vaccine. v) Table 1 represents the incomplete ANOVA table of the study. Find the values of P, Q, R and S. vi) Test the linearity between the two variables…Check whether the data in this problem satisfy the Hawkins–Simoncondition.A production superintendent claims that there is no difference between the employee accident rates for the day versus the evening shifts in a large manufacturing plant. The number of accidents per day is recorded for both the day and evening shifts for n = 100 days. It is found that the number of accidents per day for the evening shift XE exceeded the corresponding number of accidents on the day shift xp on 63 of the 100 days. Do these results provide sufficient evidence to indicate that more accidents tend to occur on one shift than on the other or, equivalently, that P(XE > XD) # 1/2?
- Explain the Zero Conditional Mean Assumption and Generalized Least Squares?Suppose 18 is the least-squares solution to Ax = b . Is it always true then that Ax ? = bHydroxychloroquine is a drug sometimes used to treat malaria or rheumatoid arthritis. This drug has recently received some notoriety as a possible treatment for those suffering from Covid-19. A hydroxychloroquine tablet comes in a 200 mg strength, but hydroxychloroquine dosage may be anywhere from 200 to 1200 mg. Thus, a patient must take multiple pills. Suppose X is the number of pills taken by a randomly selected hydroxychloroquine patient. Then according to JJSDA, x has the following probability mass function, p(x), and cumulative distribution function F(x). 1 2 4 p(x) .04 .27 .35 .10 07 F(x) .04 .31 a .83 .93 1 a. If F is the cumulative distribution function of x, then what is the value of a? b. If p is the probability mass function for x, then evaluate b. c. What is the expected value of x? d. Calculate the variance of x. e. What is the variance of 0.7*x? f. The CDC 'randomly' checks the dosage of 10 hydroxychloroquine patients. What is the probability that exactly 4 of the…
- Compute the appropriate summary measures for each variable.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?A researcher selected a sample of 268 former student-athletes from a list of graduates of a large university. A total of 14% of the sample of athletes had earned graduate degrees as compared to 17% of all graduates. What is the Z obtained value?
- 22 of 47 > Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. The table gives the resulting bacterial counts for each condition: 24 hours at 35 degrees Celsius 24 hours at 43 degrees Celsius 66 98 71 67 93 42 102 31 62 77 Suppose we had plotted bacterial count at 35 degrees Celsius on the y axis instead of the x axis. How would this change affect the value of the correlation coefficient? The correlation would be the inverse of, or I over, the original value. The correlation coefficient would have the opposite sign. The correlation coefficient would be exactly the same. The correlation coefficient would have an entirely different magnitude.Distinguished carefully between the members of each of the following pairs of properties:a. Unbiasedness and Consistencyb. Efficient estimator and Fully Efficient estimatorc. Asymptotic efficiency and Blue4. 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 =3