b) What are the conditions for a Wide Sense Stationary (WSS) process? Show that the above random process is WSS?
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- A Packages arrive at a warehouse that has a single reception point with a Poissondistribution mean of once every 12 minutes. It takes on the exponentially distributedaverage of 9-minutes to process each package.(a) What is the average wait time of a package in the queue?(b) On the average, how many packages are in the queue at any given time?(c) On the average, how many packages are in the system at any given time?(d) On the average, what is the wait time of packages in the system?(e) What percent of the time is the server idle?(f) What is the probability that there are exactly 7 packages in the system at any givenpoint in time>Economics 2. (35) Consider the quarterly sales data:datal = {10, 31, 43, 16, 11, 33, 45, 17, 14, 46, 50, 21, 19, 41, 55,25). a) Forecast demand for 6th month by using 2 month MA. b) Forecast demand for 6th month by using by employing EWMA with a= 0:9 .c) Which forecast result you would prefer? and why?prove whether it’s (i) linear or non-linear (ii) causal ornon-causal (iii) time-invariant or variant.
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- State University has increased its tuition for in-state and out-of-state students in each of the past 5 years to offset cuts in its budget allocation from the state legislature. The university administration always thought that the number of applications received was independent of tuition; however, drops in applications and enrollments the past 2 years have proved this theory to be wrong. University admissions officials have developed the following relationships between the number of applicants who accept admission and enter State and the cost of tuition per semester (in-state) (out-of-state) The university would like to develop a planning model that will indicate the in-state and out-of-state tuitions, as well as the number of students that could be expected to enroll in the freshman class. The university doesn’t have enough classroom space for more than 1,400 freshmen, and it needs at least 700 freshmen to meet all its class-size x2 = 35,000 - 6t2 x1 = 21,000 - 12t1 (xi) (ti):…Tabulate the differences between Deterministic from Stochastic effects in terms of features and examples.The Capital Asset Price Model (CAPM) is a financial model that attempts to predict the rate of return on a financial instrument, such as a common stock, in such a way that it is linearly related to the rate of return on the overal market. Specifically, RStockAiBo + BR Markets + e You are to study the relationship between the two variables and estimate the above model: R StockAi-rate of return on Stock A for month i, i = 1,2,---, 59. RMarket-market rate of return for month i, i=1,2,..., 59. B₁ represent's the stocks 'beta' value, or its systematic risk. It measure's the stocks volatility related to the market volatility. Bo represents the risk-free interest rate. The data in the .csv file contains the data on the rate of return of a large energy company which will be referred to as Acme Oil and Gas and the corresponding rate of return on the Toronto Composite Index (TSE) for 59 randomly selected months. Therefore Re, represents the monthly rate of return for a common share of Acme Oil…
- the auto-correlation function of a wide sense stationary process can have an arbitrary shapeA model is built to explain the evolution of spending on tourism and recreation in a certain group of families (Y in USD/person/year). As potential explanatory variables are considered: X1 average annual income per person in the family (in USD), X2 – number of people in the family, X3 – nature of employment of the head of household If X3=1, when the head of the family is self-employed, X3=0, when the head of the family is an employee Based on the collected data, linear correlation coefficients between variables were calculated and obtained 0,84 R, = -0,47 [1 -0,55 0, 62 R= 1 -0,42 0,75 1 Using Hellwig's method, select the optimal combination of explanatory variables for the tourism and recreation expenditure model.A firm that operates a large, direct-to-consumer sales force would like to implement a system to monitor the progress of new agents. A key task for agents is to open new accounts; an account is a new customer to the business. To build such a system, the firm has been monitoring sales of new agents over the past 2 years. The response of interest is the profit to the firm (in dollars) of contracts sold by agents over their first year. Among the possible predictors of this performance is the number of new accounts developed by the agent during the first 3 months of work.
