253 Example 9: Calculate variable overhead variances from the following data: 4000 units BudneteL Output for January. 2015
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- Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000s of gallons) 1 18 2 22 3 20 4 24 5 19 6 16 7 21 8 19 9 22 10 20 11 15 12 23 (a) Compute four-week and five-week moving averages for the time series. Week Time Series Value 4-Week Moving Average Forecast 5-Week Moving Average Forecast 1 18 2 22 3 20 4 24 5 19 6 16 7 21 8 19 9 22 10 20 11 15 12 23 (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.) Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.) (c) What appears to be the best number of weeks of past data (three, four, orCalculate Karl Pearson's coeffcient of skewness from the following data:Weekly Sales (Ksh) 10-12 12-14 14-16 16-18 18-20 20-22 22-24 24-26Number of Companies 12 18 35 42 50 30 8 4Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000sof gallons) 1 17 2 22 3 19 4 24 5 19 6 16 7 21 8 19 9 23 10 21 11 16 12 22 (a) Compute four-week and five-week moving averages for the time series. Week Time SeriesValue 4-WeekMovingAverageForecast 5-WeekMovingAverageForecast 1 17 2 22 3 19 4 24 5 19 6 16 7 21 8 19 9 23 10 21 11 16 12 22 (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.) Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.) (c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 11.15. Three weeks appears to be best, because the…
- Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 2.25 lbs and variance σ2 = 0.2025 lbs. Find the weight that corresponds to Q3 and interpret this measure of position in the context of the problem.IOG Technologies offers semiconductor and system solutions for automotive industrial and multimarket sectors for applications in communication. The following data relates to the production of three products manufactured by them: Product Price (RM) Quantity 2000 2016 2000 2016 BD-1005 3.00 3.20 60 80 LCM-2134 2.00 2.50 100 90 DDK-456 3.50 4.00 500 700 Determine the Laspeyres Price Index (LPI) and Paasche Price Index (PPI) for 2016 using 2000 as the base period.Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week Sales (1,000sof gallons) 1 18 2 21 3 20 4 24 5 19 6 16 7 20 8 18 9 22 10 21 11 15 12 23 (a) Compute four-week and five-week moving averages for the time series.4-week moving average forecast & 5 week moving average forecast (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.) Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.) c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 12.22. Three weeks appears to be best, because the three-week moving average provides the smallest MSE .Three weeks appears to be best, because the three-week moving average provides the largest MSE. Four weeks appears…
- The staff of controller of McCourt Company added the variable "pounds moved" to the ten-month data set: Month Materials Handling Cost Number of Moves Pounds Moved January $5,600 475 12,000 February 3,090 125 15,000 March 2,780 175 7,800 April 8,000 600 29,000 May 1,990 200 600 June 5,300 300 23,000 July 4,300 250 17,000 August 6,300 400 25,000 September 2,000 100 6,000 October 6,240 425 22,400 Required: 1. Using the data on material handling, use regression software such as Microsoft Excel to complete the missing data in the table below (round regression parameters to the nearest cent and other answers to three decimal places): McCourt CompanySUMMARY OUTPUT Regression Statistics Multiple R 0.999 R Square fill in the blank 491c8af8afe4f84_1 Adjusted R Square fill in the blank 491c8af8afe4f84_2 Standard Error 119.600 Observations 10 ANOVA df SS MS F Significance F Regression 2 37,768,070.16 18,884,035…Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 1.25 lbs and variance σ2 = 0.25 lb2. Find the weight that corresponds to Q1 and interpret this measure of position in the context of the problem.D & R A1 10 - 3 Question 10. Minimum Variance Commodity Hedge Choc Full of Good Inc., a producer of powdered hot chocolate, has just received a large order that will require the purchase of 800 metric tons of cocoa in 3 months. The current spot price of cocoa is US $3,055 per metric ton. The standard deviation of the change in spot cocoa price is 0.2. Mr. Dulce, the CFO of Choc Full, is considering a minimum-variance hedge of this future cocoa purchase using the three-month cocoa futures contract. The contract size is 10 metric tons. The standard deviation of the change in cocoa futures price is 0.25. The covariance between the change in the spot and futures cocoa price is 0.035. The annually compounded interest rate faced by the company is 5%, the three-month storage cost is $2.5 per metric ton, and the convenience yield is $0.5 per metric ton. Compute the minimum-variance hedge ratio.
- D & R A1 10 - 7 Question 10. Minimum Variance Commodity Hedge Choc Full of Good Inc., a producer of powdered hot chocolate, has just received a large order that will require the purchase of 800 metric tons of cocoa in 3 months. The current spot price of cocoa is US $3,055 per metric ton. The standard deviation of the change in spot cocoa price is 0.2. Mr. Dulce, the CFO of Choc Full, is considering a minimum-variance hedge of this future cocoa purchase using the three-month cocoa futures contract. The contract size is 10 metric tons. The standard deviation of the change in cocoa futures price is 0.25. The covariance between the change in the spot and futures cocoa price is 0.035. The annually compounded interest rate faced by the company is 5%, the three-month storage cost is $2.5 per metric ton, and the convenience yield is $0.5 per metric ton. What is the correlation of the change in the spot and futures cocoa price?Amex PLC has gathered following information on the sales of face mask from April 2020 toSeptember 2020.Month Sales ($)April 17,000May 18,000June 19,500July 22,000August 21,000September 23,000You are required to;b. Calculate the forecasted sales difference if you use 3-period weighted moving averagedesigned with the following weights: July 0.2, August 0.3 and September 0.5.Suppose that index model for Stocks A and B is estimated from excess returns with the following results : Ra 0.04 +0.6Rm+ea , Rb = - 0.04 + 1.3Rm + eb Risk on the market is 30% , R-squared of A is 30%R - squared of B is 40% , security A residual variance is
