The following is a Time Series of Two Years (2019-2020) Seasons Year Sales (3) 4-periods MA C.M.A. Ratio to MA Q1 318.77 Q2 315.9 Q3 1.499 ? 4 303.25 0.766 5 306.46 0.571 322.76 6 304.48 1.194 2020 7 8 Q4 The 4-period Moving Average of 2019-Q4 is: Give your answer in 2 Decimal places 300 € Q4 Q1 Q2 Q3 2019 1 2 3
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- Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were followed for 1 year starting in 2010. Fifteennew cases of MI were found. Suppose that 25% of patients with MI in 2000 died within24 hours. This proportion is called the 24-hour case-fatalityrate. >Suppose we eventually plan to accumulate 50 MIcases during the period 2010–2015. Assume that the24-hour case-fatality rate is truly 20% during this period.How much power would such a study have in distinguishingbetween case-fatality rates in 2000 and 2010–2015 if atwo-sided test with significance level .05 is planned?Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were followed for 1 year starting in 2010. Fifteennew cases of MI were found. Suppose that 25% of patients with MI in 2000 died within24 hours. This proportion is called the 24-hour case-fatalityrate.7.14 Of the 15 new MI cases in the preceding study,5 died within 24 hours. Test whether the 24-hour casefatality rate changed from 2000 to 2010.Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were followed for 1 year starting in 2010. Fifteennew cases of MI were found. Q.)Suppose that 25% of patients with MI in 2000 died within24 hours. This proportion is called the 24-hour case-fatalityrate. 7.14 Of the 15 new MI cases in the preceding study,5 died within 24 hours. Test whether the 24-hour casefatality rate changed from 2000 to 2010. 7.15 Suppose we eventually plan to accumulate 50 MIcases during the period 2010–2015. Assume that the24-hour case-fatality rate is truly 20% during this period.How much power would such a study have in distinguishingbetween case-fatality rates in 2000 and 2010–2015 if atwo-sided test with significance level .05 is planned? 7.16 How large a sample is needed in Problem 7.15 toachieve 90% power?
- A random sample of 25 tires gave the average life as 38000 km and S.D. as 5000 km. Can it be concluded that the sample is drawn from a population with a mean life of 40000 km?Using a weight of 1/2 for the most recent observation, 1/3 for the second most recent, and 1/6 for third most recent, compute a three-week weighted moving average for the time series. Use rounded for two decimal places values for intermediate calculations. Use minus sign for negative values.For each of the below ACF plots which are obtained for a time series data of 4 different variables of interest: a) Explain the ACF plot. b) Describe what the raw data is likely to look like over time. c) What kind of variable is this plot likely to characterise (e.g., stock prices, exchange rates, temperature, etc.)?
- A time series variable generally is correlated with one or more of its laggedvalues; that is, it is serially correlated. Explain How?Table 1 shows the total amount spent in Malaysia by tourists from Saudi Arabia and Japan from 2010 to 2019. Based on Table 1, at the 0.01 level of significance, can we conclude that tourists from Saudi Arabia spent less than those from Japan. Table 1: Amount spend by tourists from Saudi Arabia and Japan Year Saudi Arabia Jepun 2010 0.7 1.1 2011 0.7 1.1 2012 0.8 1.4 2013 0.8 1.5 2014 1.1 1.8 2015 1.0 1.6 2016 1.3 1.3 2017 1.2 1.2 2018 1.3 1.7 2019 1.4 2.3Suppose the incidence rate of myocardial infarction (MI)was 5 per 1000 among 45- to 54-year-old men in 2000.To look at changes in incidence over time, 5000 men in thisage group were followed for 1 year starting in 2010. Fifteennew cases of MI were found. Of the 15 new MI cases in the preceding study, 5 died within 24 hours. Test whether the 24-hour case-fatality rate changed from 2000 to 2010.?
- Suppose that during rainy season on a tropical island the length of theshower has an exponential distribution, with parameter λ = 2, time beingmeasured in minutes. What is the probability that a shower will last morethan three minutes? If a shower has already lasted for 2 minutes, what is theprobability that it will last for at least one more minute?The depth to which a pile can be driven without hitting the rock stratum is denoted as H (see figure below). For a certain construction site, suppose that this depth has a log-normal distribution with mean of 30 ft and coefficient of variation of 20%. In order to provide satisfactory support, a pile should be embedded 1 ft into the rock stratum. What is the probability that a pile of length 40 ft will not anchor satisfactorily into the rock?The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). a)Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?
