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- Which of the following time series forecasting methods would not be used to forecast seasonal data?question 4 Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below: What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?Which of the time series forecasting methods would not be used to forecast seasonal data?
- QUESTION 27 Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 73.7 Q2 85 Q3 105.7 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the deseasonalized series on Time are given below: Coefficients Intercept 2,857 Time 59.1 What is the trend projection of the series for period 112? (please round your answer to 1 decimal place)Question 4 Multi-Server QueueA supermarket manager is trying to decide how many cashers to employ for the peak time. The service times for check outs are exponentially distributed with a mean service time of 3 minutes. Customer arrivals to cashiers follow a Poisson arrival process with an average 110 customers per hour.a. What is the minimum number of cashers that would be needed to have the utilization less than one?b. If the waiting time is too long, customers might leave the store or even do not enter the store. It is estimated that for every minute of waiting time, the supermarket loses a potential profit of 50 HKD every hour from lost sales. The hourly wage for a casher is 80 HKD / hour. How many cashers should the supermarket employ to maximize its profit? (Keep four decimal places.QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
- QUESTION 16 This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A survey of 353 working parents found 250 who said they spend too little time with their children because of work commitments. (a) What is the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments? (b) At 95% confidence, what is the margin of error? (c) What is the 95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments? Step 1 (a)What is the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments? A point estimate…Question 16Serial correlation in the residuals of a time series regression can occur if you fail toinclude a relevant lag of the dependent variable as an explanatory variable in the regression. O TrueO FalseQuestion 7 Consider a cohort study to compare the mortality rate of myocardial infarction (MI) in men with sedentary work (exposed group) to men with physically active work (unexposed). If in the exposed, there were 36,000 person (man) years of observation and 126 deaths whereas the unexposed had 24,000 man-years of observation and 44 deaths. Compute the following a) Mortality rate in each cohort? b) What is the relative risk of dying, comparing these 2 groups? c) What is the attributable risk of sedentary work? d) What is the attributable benefit of physical activity? e) If we assume that MI is associated with the mortality in this cohort (causality), what proportion of the disease in the higher group is potentially preventable?
- question 27 59% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 124 of the 243 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The null and alternative hypotheses would be: Ho: p= (please enter a decimal) H1: p< (Please enter a decimal) 2.The test statistic _______ (please show your answer to 3 decimal places.) 3.The p-value = ______ (Please show your answer to 4 decimal places.)Question 4 Documentation for CollegeDistance DataThese data are taken from the HighSchool and Beyond survey conducted by the Departmentof Education in 1980, with a follow-up in 1986. The survey included students fromapproximately 1100 high schools. The data in CollegeDistance exclude students in the western states. The data inCollegeDistanceWest includes only those students in the western states.Series in Data Set Name Descriptioned Years of Education Completed (See below)female 1 = Female/0 = Maleblack 1 = Black/0 = Not-BlackHispanic 1 = Hispanic/0 = Not-Hispanicbytest Base Year Composite Test Score. (These are achievement tests given tohigh school seniors in the sample)dadcoll 1 = Father is a College Graduate/ 0 = Father is not a College Graduatemomcoll 1 = Mother is a College Graduate/ 0 = Mother is not a College Graduateincomehi 1 = Family Income > $25,000 per year/ 0 = Income ≤ $25,000 per year.ownhome 1= Family Owns Home / 0 = Family Does not Own Homeurban 1 = School in Urban…Question 12: at the 5% significance level, determine if the average debt is more than $30,000 for any student that would attend the university and complete a bachelor’s. Give the hypotheses.