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- 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?15. Exponential Smoothing is usually applied to: A. SHORT-TERM FORECASTING B. LONG-TERM FORECASTING C. BOTH1.8 Compute and compare the total electricity consumption of Sub-Saharan Africa to the United States in 2012. The population of Sub-Saharan Africa was 926 million, and the United States was 314 million. The per person consumption in the United States in 2012 was 12.96 MWh per year. Consult Fig. 1.11 for the per person consumption in Sub-Saharan Africa.
- number 28 The following data shows the price of a certain stock over the last 8 months. Month Price 1 2.10 2 1.98 3 2.01 4 1.89 5 1.90 6 1.89 7 1.72 8 1.65 (a) Develop a scatter diagram and draw a trend line through the points. A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right becoming more steep from (1, 1.7) to (8, 1.25). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right from (1, 2.1) to (8, 1.65). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter…Question (c) Compute cumulative frequencies and cumulative relative frequencies.(d) What is the percentage of days when more than 6 books were stolen?QUESTION 1 Your rate of return expectations for the stock of Gidimadjor Company during the next year are Possible Rate of Return (kk) Possible Rate of Return Probability (Gidimadjor Itd) -0.60 0.56 0.15 -0.30 0.36 0.10 -0.10 -0.08 0.05 0.20 0.02 0.40 0.40 0.33 0.20 0.80 0.51 0.10 a. Compute the expected return [E(Ri)] on this stock, the variance (02) of this return, and its d. Compute the coefficients of variation (CVs) for KK Itd and Gidimadjor and discuss which stock return series has the greater relative dispersion.
- Question Annual sales (in million taka) by a chain shop are provided below.Year201020112012201320142015201620172018Sales6812181513161210(a) Estimate first order autocorrelation function ?(1) and use this to comment on the properties of the time series.(b) Obtain forecast for the year 2019 from the trend model ?̂?=5.48+4.52?−0.50?2.4. Movements along versus shifts of demand curves Consider the market demand for chicken wings. Complete the following table by indicating whether an event will cause a movement along the demand curve for chicken wings or a shift of the demand curve for chicken wings, holding all else constant. Event An increase in income of consumers An increase in the price of burgers (a substitute for chicken wings) An increase in the price of chicken wings Movement Along Shift O6. A small company can employ 3 workers. Each worker independently stays on the job for an exponentially distributed time with a mean of one year and then quits. When a worker quits, it takes the company an exponentially distributed time with a mean of 1/10 of a year to hire a replacement for that worker (independently of how long it takes to replace other workers). If the company takes in $1000 per day in revenue when it has 3 workers, $800 per day when it has 2 workers, and $500 per day when it has 0 or 1 workers, what is the company's long-run average daily revenue?
- Need a line graph for the given dataSeasonal decomposition. Find the seasonal indexes for Spring, Summer and Fall, based on the data in Table 1.Question 16 Suppose that you have downloaded data on the daily share prices for a company for the period from the start of 2020 to the end of 2020 from the website of Yahoo Finance UK. You have also calculated the daily rates of return for the company's shares as (closing price - opening price)/opening price. By using the knowledge that you have gained from descriptive statistics, how can you obtain useful information about the company's share performance in terms of risk and return using a range of alternative indicators? Note that you should give necessary formulas for the technical concepts wherever they may apply.