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- Indicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team’s winning percentage and attendance at its home games. b. Higher temperatures and sweater sales. c. A person’s income and how often he or she shops at discount stores. d. Higher gasoline prices and miles driven in automobiles.13. List the basic trend patterns within the projection methods and determine which is the most commonly used when analyzing demand.A firm keeps a record of sales and prices over the past seven months, resulting in the following table: Price (ZMW/ton) Sales (tons) Nov. 1985 7.5 84.5 Dec. 8.0 82.0 Jan. 1986 8.0 84.0 Feb. 7.2 92.0 March 7.0 95.0 April 8.0 92.0 May 8.5 91.5 Use these observations to estimate demand as a linear function of both price and time. Further, utilise this function to estimate demand for the following month, on the assumption that: (a) price remains unchanged, (b) price increases to ZMW9/ton. Hence estimate the price elasticity of demand between these prices and find the price which would maximise sales revenue. Given the nature of the observations, comment on any difficulties in interpreting your results for decision-making purposes.
- In 2013, a certain company's annual revenue was 79 billion dollars and growing at the rate of 3.6x + 17.9 billion dollars per year, where x is the number of years since 2013. Find a formula to predict this company's annual revenue at any time x. I(x) = Use your formula to predict their revenue in 2022. (Round your answer to one decimal place.)21. Consider a firm subject to quarter-to-quarter variation in its sales. Suppose that the following equation was estimated using quarterly data for the period 2011–2018 (the time variable goes from 1 to 32). The variables D1, D2, and D3 are, respectively, dummy variables for the first, second, and third quarters (e.g., D1 is equal to 1 in the first quarter and 0 otherwise). Qt =a+bt+c1D1+c2D2+c3D3 The results of the estimation are presented here: a. Calculate the intercept in each of the four quarters. What do these values imply? b. Use this estimated equation to forecast sales in the fourth quarter of 2019.What are the correct relations between increasing and decreasing for all shown below?
- The following gives the number of accidents that occurred on Florida State Highway 101 during the last 4 months: Jan Feb Mar AprMonth 1 2 3 4Number of Accidents 30 40 70 105 Using the least-squares regression method, the trend equation for forecasting is (round your responses to two decimal places): y = ? + ?xShow with explanations and examples of the differences from trend analysis, cross sectional analysis, and industry comparables analysis.A local moving company has collected data on the number of moves they have been asked to perform over the past two years. Moving is highly seasonal, so the owner/operator, who is both burly and highly educated, decides to apply the multiplicative seasonal method to forecast the number of customers for the coming year. The equation for the trend line of yearly sales is Ft = 16 + 60t. Please forecast demand for each quarter in Year 3. (Round the forecasts to whole numbers and show all calculations). Complete the table below and forecast the sales of Year 3 by quarter. Year 1 Year 2 Year 3 Quarter Demand Seasonal Index Quarter Demand Seasonal Index Average Seasonal Index Forecast 1 20 1 27 2 40 2 45 3 45 3 55 4 31 4 41 Total Average
- Plot the following dataset and elaborate your concept regarding the graph: Quantity AC MC 0 110 - 100 80 40 200 55 20 300 45 45 400 55 80 500 80 120 600 110 160The monthly demand of a company is showed below, please use the static method to forecast the demand for Year 6. Sales Year 1 Year 2 Year 3 Year 4 Year 5 JAN 2,000 3,000 2,000 5,000 5,000 FEB 3,000 4,000 5,000 4,000 2,000 MAR 3,000 3,000 5,000 4,000 3,000 APR 3,000 5,000 3,000 2,000 2,000 MAY 4,000 5,000 4,000 5,000 7,000 JUN 6,000 8,000 6,000 7,000 6,000 JUL 7,000 3,000 7,000 10,000 8,000 AUG 6,000 8,000 10,000 14,000 10,000 SEP 10,000 12,000 15,000 16,000 20,000 OCT 12,000 12,000 15,000 16,000 20,000 NOV 14,000 16,000 18,000 20,000 22,000 DEC 8,000 10,000 8,000 12,000 8,000 Total 78,000 89,000 98,000 115,000 113,000There has been coherent effort by various national agencies to educate and encourage reduction in energy consumption among Singapore household over the years. As part of your social science school project, you have chosen to research on whether such campaign has found success among households living in 1-room and 2-room HDB flats. You have downloaded the latest town gas consumption data for further analysis.Comment on the underlying pattern in the average quarterly household town gas consumptions over 2010 Q1 – 2021 Q2. Assume that today is 1st August 2021.