In an article in the April 2012 issue of the Newton Conservators newsletter you can read that In the early 1970s there were approximately 40,000 trees lining the streets of Newton. Today, that number is about 26,000 - a 35% loss. The current annual rate of decline is about 650 trees per year. At this rate, if unchecked, public street trees would diminish to approximately 10,000 within a generation (25 years), and in 40 years, public street trees would no longer be part of the Newton landscape. d. Write the equation for the linear model implicit in this quotation (use years since 2012 as the independent variable). Identify the slope and the intercept, with their units.
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In an article in the April 2012 issue of the Newton Conservators newsletter you can read that In the early 1970s there were approximately 40,000 trees lining the streets of Newton. Today, that number is about 26,000 - a 35% loss. The current annual rate of decline is about 650 trees per year. At this rate, if unchecked, public street trees would diminish to approximately 10,000 within a generation (25 years), and in 40 years, public street trees would no longer be part of the Newton landscape.
d. Write the equation for the linear model implicit in this quotation (use years since 2012 as the independent variable). Identify the slope and the intercept, with their units.
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- Daily high temperatures in St. Louis for the last week were as follows: 92, 94, 95, 92, 95, 86, 95 (yesterday). degrees (round your response to one decimal a) The high temperature for today using a 3-day moving average = [ place). b) The high temperature for today using a 2-day moving average = place). degrees (round your response to one decimal c) The mean absolute deviation based on a 2-day moving average = degrees (round your response to one decimal place). d) The mean squared error for the 2-day moving average = degrees2 (round your response to one decimal place). e) The mean absolute percent error (MAPE) for the 2-day moving average=% (round your response to one decimal place). iev SA Lighting company seeks to study the percentage of the defective glass shells being manufactured. Theoretically, the percentage of defectives is dependent on temperature, humidity, and the level of artisan expertise. Complete historical data are available for the following variables on a daily basis for a year.a. Temperature (high, normal, low)b. Humidity (high, normal, low)c. Artisan expertise (expert, average, mediocre)Some experts feel that defectives also depend on productive supervisors. However, data on supervisors in charge are available for only 242 of the 365 days. How should you conduct this study?Alvin Cheah is a marketing analyst for Rockstar Travel Company. He wants to analyze the trend of international tourist arrival in Tawau by using international tourist arrival rate and flight delayed rate over the past 10 years as given in Table 2 below: (Hint: Provides your answers in two decimal points) Table 2 Year 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 Arrival (‘000) 35.5 28.0 30.3 36.0 49.5 56.0 72.4 71.0 79.3 96.0 Delayed rate 4.2 3.8 3.8 3.5 4.6 4.5 4.6 4.6 4.7 4.5 a) Propose ONE (1) forecasting model that can be used by Alvin. Why would you proposed that particularmodel? b) Develop the forecasting model that you suggest in (i). Briefly explain your
- A small local grocery has seen a decline in sales in the past few months. The owner has made no changes to the store in the last year. In the beginning, the owner thought the sales drop might be seasonal. However, looking at the past few years of sales data, the owner noticed that there had not been any decrease in sales during the same time in the previous years. Design a study to identify what might be the probable ultimate cause/s of the decline in sales for a grocery. For looking at the different causes, consider the box and arrow diagram given. Note the following things about the box and arrow diagram: If the arrow’s head is towards a box, that means the variable in the box (where the arrow’s head is) affects the variable in the box from where the arrow originated. E.g “Revenue/Sales” is affected by the “Number of shoppers/customers”. The boxes in grey are the variables you as a firm/owner can directly expect to affect which can further affect other variables in the model. E.g.…A small local grocery has seen a decline in sales in the past few months. The owner has made no changes to the store in the last year. In the beginning, the owner thought the sales drop might be seasonal. However, looking at the past few years of sales data, the owner noticed that there had not been any decrease in sales during the same time in the previous years. Design a study to identify what might be the probable ultimate cause/s of the decline in sales for a grocery. For looking at the different causes, consider the box and arrow diagram given. Note the following things about the box and arrow diagram: If the arrow’s head is towards a box, that means the variable in the box (where the arrow’s head is) affects the variable in the box from where the arrow originated. E.g “Revenue/Sales” is affected by the “Number of shoppers/customers”. The boxes in grey are the variables you as a firm/owner can directly expect to affect which can further affect other variables in the model. E.g.…The American Baker's Association reports that annual sales of bakery goods last year rose 15 percent, driven by a 50 percent increase in the demand for bran muffins. Most of the increase was attributed to a report that diets rich in bran help prevent certain types of cancer. You are the manager of a bakery that produces and packages gourmet bran muffins, and you currently sell bran muffins in packages of three. However, as a result of this new report, a typical consumer's inverse demand for your bran muffins is now P= 11 -15Q If your cost of producing bran muffins is C(Q) = 3.5Q, determine the optimal number of bran muffins to sell in a single package and the optimal package price. Instructions: Enter your response for the optimal package price rounded to two decimal places. Optimal package size: Optimal package price: $ units
- The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past 5 years are as follows Year Mileage a) Using a 2-year moving average, the forecast for year 6 = miles (round your response to the nearest whole number). 1 3,100 2 4,000 3 3,450 4 3,850 A 5 3,750Daily high temperatures in St. Louis for the last week were as follows: 92, 91, 95, 95, 96, 90, 93 (yesterday). a) The high temperature for today using a 3-day moving average = 9393 degrees (round your response to one decimal place). b) The high temperature for today using a 2-day moving average = 91.591.5 degrees (round your response to one decimal place). c) The mean absolute deviation based on a 2-day moving average = 2.42.4 degrees (round your response to one decimal place). d) The mean squared error for the 2-day moving average = nothing degrees2 (round your response to one decimal place).DuLarge Marine manufactures diesel engines for shrimp trawlers and other small commercial boats. One of their automated machines has caused several problems. Over the past 30 weeks, the machine has broken down as indicated below. Each time the machine breaks down, the firm loses an average of $3,000 in time and repair expenses. If preventive maintenance were implemented, it is estimated that an average of only one breakdown per week would occur. The cost of preventive maintenance is $1,000 per week. Number of breakdowns per week 0 1 2 3 4 Frequency (Number of weeks that breakdowns occurred) 8 3 5 9 5 What is the weekly total maintenance cost of this program? Given the following data, find the expected breakdown cost. The cost per breakdown is $200. Number of breakdowns per week 0 1 2 3 4 Weekly frequency 5 12 10 18 5 13) Great Southern Consultants Group's computer system has been down several times over the…
- A factory has a frequency of breakdown of their machine per month as shown in table below and the cost of breakdown remains the same but the cost of preventive maintenance becomes ksh 1250 per month, and given that if preventive maintenance is performed, probability of a machine breakdown is negligible. Determine whether the engineer should use preventive maintenance or would it be cheaper to repair the machine when it breakdown. Frequency of breakdown of machine per month Number of breakdown 0 1 2 3 Frequency 20 30 40 10Alvin Cheah is a marketing analyst for Rockstar Travel Company. He wants to analyze the trend of international tourist arrival in Tawau by using international tourist arrival rate and flight delayed rate over the past 10 years as given in Table 2 below: (Hint: Provides your answers in two decimal points) Table 2 Year 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 Arrival 35.5 28.0 30.3 36.0 49.5 56.0 72.4 71.0 79.3 96.0 C000) Delayed 4.2 3.8 3.8 3.5 4.6 4.5 4.6 4.6 4.7 4.5 rate (1) Propose ONE (1) forecasting model that can be used by Alvin. Why would you proposed that particular model? (5 marks) (ii) Develop the forecasting model that you suggest in (i). Briefly explain your model. (20 marks)A plastic injection molding machine operates 334 days a year. It is the bottleneck workstation in a process that produces plastic housed wall clocks. Industrial engineers collected data on the probability of machine breakdowns, the costs of preventive maintenance, and the cost of a breakdown. Number of Molding Machine Breakdowns per Day Probability of a breakdown 0 0.32 1 0.27 2 0.22 3 0.13 4 0.06 The cost of preventive maintenance is high due to performing it between 1 and 4 a.m. each day by two machine experts. The preventive maintenance cost is $2,030 per day including replacement parts, cleaning, and software upgrades. The cost of a breakdown of $1,940 is also high because the downstream workstations can only work until all work-in-progress inventory is completed; then the entire process must stop. What are the economics of the situation? Do not round intermediate calculations. Round your answers to the nearest cent. The expected cost of a breakdown per day is $ The manufacturing…