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- The U.S. Census tracks the percentage of persons 25 years or older who are college graduates. That data forseveral years is given in Table 4[14]. Determine whether the trend appears linear. If so, and assuming the trendcontinues. in what year will the percentage exceed 35%?hudson Marine has been an authorized dealer for c&d marine radios for the past sevenyears. the following table reports the number of radios sold each year.Year 1 2 3 4 5 6 7Number Sold 35 50 75 90 105 110 130a. construct a time series plot. does a linear trend appear to be present?b. Using Minitab or excel, develop a linear trend equation for this time series.c. Use the linear trend equation developed in part (b) to develop a forecast for annualsales in year 8.The following time series shows the sales of supermarket chain over the last six months. Month Sales ($ 000) August 2021 250 Sep 2021 280 Oct 2021 295 Nov 2021 320 Dec 2021 380 Jan 2022 360 Develop a linear trend equation that can be used to forecast sales in Feb 2022. Forecast the sales in Feb 2021 using a three-period weighted moving average designed with the following weights: Nov 2021 weight 0.6, Dec 2021 weight 0.3 and Jan 2022 weight 0.1. Which method (A or B) is the best? Explain why.
- Data collected on the yearly demand for 50-pound bags of fertilizer at Wallace Garden Supply are shown in the following table: YEAR DEMAND FOR FERTILIZER (1,000S OF BAGS) 1 4 2 6 3 4 4 5 5 10 6 8 7 7 8 9 9 12 10 14 11 15 a) Develop a trend line for the demand for fertilizer using any computer software? b) For these three forecasts, 3-year moving average, a weighted moving average, and a trend line, which one would you use? Explain your answer?A supplier of school stationary recorded its quarterly sales figures ($00s) for the years 2009 to 2012. The data is shown in the table below. Year Q1 Q2 Q3 Q4 2009 48 52 16 35 2010 50 46 22 40 2011 68 34 26 35 2012 73 56 3.1 Calculate centred 4- point moving averages (MA) for the data. 3.2 Plot the 4-point MA series on the same graph as the original series. 3.3 Comment on the trend component of the sales.The table given below indicates Small Holding Ltd.’s quarterly profits in 2019 and 2020.Time Period Profit (Thousands Of Rands)2019 Q1 2502019 Q2 2102019 Q3 1652019 Q4 1952020 Q1 2652020 Q2 2182020 Q3 1782020 Q4 204Q.6.3.1 Determine the trend regression function for this data set. In order to obtain full marks for this question, you must complete the relevanttable (template provided below) and then apply the appropriate timeseries formulae in the formulae sheet.Q.6.3.2 Given that the typical seasonal index for Q3 is 87.3, use this informationand the trend regression function obtained in Q.6.3.1 to determine theseasonally adjusted trend estimate for profits in Q3 of 2022.
- The sales records of a major auto manufacturer over the past years from 2005 to 2019 are shown below. Number of Cars Sold Year (In thousands of Units) 2005 195 2006 200 2007 250 2008 270 2009 320 2010 380 2011 440 2012 460 2013 500 2014 500 2015 550 2016 570 2017 600 2018 650 2019 700 Develop moving average with k=4 and compute its MSE Develop exponential model with α = 0.4 and compute its MSE Develop a linear trend model and compute its MSE Based on the MSE computed fore ach model , which model fits well to the data Based on the answer of question (4) forecast the number of cars sold for year 2020.Q13What is the correlation between average monthly rainfall and crop yield in a given region over the past 10 years, and how does this relationship vary across different types of crops grown in the area?An auctioneer of antique Iranian rugs kept records of his weekly auctions in order to determine the relationships among price, age of carpet or rug, number of people attending the auction, and the number of times the winning bidder had previously attended his auctions. He felt that, with this information, he could plan his auctions better, serve his steady customers better, and make a higher overall profit for himself. The results shown in the accompanying table were obtained.
- 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;a. Using linear trend equation forecast the sales of face masks for October 2020.The below data represent the advertising expenditure and sales of Little Liu Ltd from year 2008 to 2017. Table: Advertising Expenditure vs. Sales from 2008 to 2017 Year Advert. Expenditure Sales (x, £000) (y, £000) 2008 8 30 2009 12 40 2010 11 29 2011 5 29 2012 14 43 2013 3 17 2014 6 20 2015 8 30 2016 4 22 2017 9 40 Total 80 300 Figure: Scatter Diagram of Advertising Expenditure and Sales with Trend line Work out the values of parameters of the relationship shown in the Figure (i.e. work out the equation of the relationship).find the linear correlation coefficent and the critical value(s)