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- State the following (a) Weak Law of Large numbers (b) Bernoulli's Law of Large numbers. Disease A was reported by local area hospitals in beginning in December 28, 1998.Initial symptoms were mainly bloody diarrhea, fever, weakness. Some later had fainting, hypotension.It was traced back to a potluck holiday party held in December 23 at a paper products sales company of 256 employees. All the employees attended that holiday party.One person died. The rest made full recoveries. No one who recovered from the illness showed any further symptoms. All data from the hospitals were compiled into the following chart: Date #cases Comment12/23/1998 0 Date of the holiday party.12/24/1998 0 12/25/1998 012/26/1998 012/27/1998 012/28/1998 212/29/1998 412/30/1998 812/31/1998 16 First patient in ICU for sepsis.1/01/1999 32 Second patient in ICU for sepsis.1/01/1999 30 The first patient expired in ICU.1/02/1999 26 The second patient transferred to regular ward.1/03/1999 18 The second patient discharged to home.1/04/1999 21/05/1999 01/06/1999 01/07/1999 0 21) What is the incubation period…150 30 0 www ii) 14 i) 21 ii) 28 days 35 42 (a) The Figure above shows simulated data on the number of people (in thousands) who use public transport every day in Melbourne. i) 49 56 Does this time series exhibit a time trend? If there is a time trend, explain what could explain this trend. (b) Consider the following estimated model of industrial production (Y), which uses quarterly data from 2001q1 to 2022q4 and includes a constant, a time trend (t) and 3 seasonal dummy variables (Q1, Q2, and Q3) in the equation. Does this time series exhibit seasonality? What statistical test could you perform to test whether there is seasonality? If there is seasonality, explain what could explain this seasonal pattern. log(Y) = 6.01 +0.05t -0.0201 -0.03Q2 -0.0103 Interpret the estimated coefficients for the time trend and three seasonal dummies. Based on the estimated equation above, what would be the forecast for industrial production for the first quarter of 2024?
- B1CHECKPOINT 1.1 Write in sigma notation and evaluate the sum of terms 2/ for i = 3, 4, 5, 6.8* A medical researcher estimates that 2% of a population is infected with a rare disease which for this problem we will assume is accurate. The procedure used for testing for this disease is 90% accurate. So, if one has the disease, the test will indicate that 90% of the time, and if the person doesn't have the disease, the test will indicate that 90% of the time. Of course, what this means is that the test will give a false positive result 10% of the time. If a person is picked at random and tested: (a) What is the probability that the person tests positive? (b) What is the probability that if a person tested positive for the disease he or she actually had the disease?
- Number 11 plz don’t know33. e -e")earn98 = 4.84 + 2.429train+0.372earn96+0.365educ – 1.84 age + 2.446 married (1.06) (0.44) (0.011) (0.063) (0.016) (0.49) where earn98 = 1998 earnings, in thousands of dollars train =1 if the individual participated in the training program, and =0 otherwise earn96 = 1996 earnings, in thousands of dollars educ = years of education age = age, in years married =1 if the individual is married, and =0 otherwise Suppose that there is a high degree of correlation (but not perfect) between education, age, and marital status. True or False: We should be concerned about this high degree of correlation because it affects our ability to reliably estimate the impact of the training program on 1998 earnings, T. True False
- Explain the meaning of unit root stochastic processTRUE (1) OR FALSE (2) According to Statistics South Africa (2011), the total human population of KaNgove, a village in Giyani (South Africa), is 6376, while the total number of households is 1545. In this study, the population unit is the households since the study seeks to study indigenous systems of households. Based on the facts above: The population size of this study will be (N=6376)? TRUE / FALSE The population size of this study will be (N=1545)? TRUE/FALSE The sample size will be n=155? TRUE/FALSE1. In AP Econ, the total points accrued thus far is 800. The instructor has announced that there will be a total of 1000 points at the end of the semester. The final exam, therefore, is worth 200 points. Christina L currently has an average score of 87%. Is it possible for Christina L to squeak by with an A- in the class? Explain. Show your work. Assume an 89.5% in the class is considered an A-.
