With the following data in 6 cities, calculate the coefficient of correlation by Pearson’s method between the density of population and death rate: Cities ABCDEF Area in sq. kilometre 150 Population in ‘000’ 30 No. of Deaths 300 180 100 60 120 80 9040427224 1440 560 840 1224 312
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With the following data in 6 cities, calculate the coefficient of
Cities ABCDEF
Area in sq. kilometre 150 Population in ‘000’ 30 No. of Deaths 300
180 100 60 120 80 9040427224 1440 560 840 1224 312
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- Explain the differences between Gaussian elimination and Gauss-Jordan elimination.The Pretty Cat Company wishes to introduce a new brand of cat dry foods that meets certain nutritional requirements. The biscuit-1 contains 2 units of nutrient A and 4 units of nutrient B, while biscuit-2 contains 2 units of nutrient A and 2 units of nutrient B. According to federal requirements, there must be at least 80 units of nutrient A and 120 units of nutrient B in a package of the new dry food (biscuit mix). In addition, the company has decided that there can be no more than 30 biscuit-1 in a package. If it costs 2 cents to make a biscuit-1 and 4 cents to make a biscuit-2, what is the optimal product mix for a package of the new dry food in order to minimize the firm's cost? (a) Formulate this as a linear programming problem. (b) Find the optimal solution for this problem graphically. What is the total cost of a package of the new dry food using the optimal mix?22. Is there multicollinearity in the model? Yes, No or Cannot be determined?
- A company that has cement factories in Denizli, İzmir and Uşak will transport the cements to theconsumption region 1, 2 and 3. The cement production capacities of the factories are 200 tons forthe factory in Denizli, 300 tons for the factory in İzmir and 450 tons for the factory in Usak.Demand of the first consumption region is 250, demand of the second region is 100, demand of thethird region is 225 and demand of fourth region is 325 tons of cement. The transportation costbetween factories and consumption areas is as below table per ton:Factories 1. Region 2. Region 3. Region 4. RegionDenizli 15 18 12 13İzmir 10 10 11 9Usak 8 5 7 8According to these data;1) Make the initial distribution of the enterprise according to the Vogel’s Approximation Method(VAM) and calculate the total transportation cost. 2) Determine the distribution that minimizes the total transportation cost according to the (MODI)method.The 2019-2020 flu season was especially tough. By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. a.What was the proportionate mortality rate from flu during the 2019-2020 flu season? b.What was the case fatality rate from flue during the 2019-2020 flu season?The 2019-2020 flu season was especially tough.By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. c.What was the flu-related mortality rate during the 2019-2020 flu season? d.What is the all-cause mortality rate during the 2019-2020 flu season? e.In a country with an age distribution that is much younger than in the US, the proportionate mortality rate from flu in 2019 was 5%. Based on this information alone, can we determine that the risk of dying from flu in 2019 was higher in this country compared to the US? Why or why not?
- Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.5% of the capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston’s defective rate to be 10%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 75,000 acceptable-quality capacitors to use…KALI, Inc., manufactures home appliances that are marketed under a variety of trade names. However, KALI does not manufacture every component used in its products. Several components are purchased directly from suppliers. For example, one of the components that KALI purchases for use in home air conditioners is an overload protector, a device that turns off the compressor if it overheats. The compressor can be seriously damaged if the overload protector does not function properly, and therefore KALI is concerned about the quality of the overload protectors. One way to ensure quality would be to test every component received through an approach known as 100% inspection. However, to determine proper functioning of an overload protector, the device must be subjected to time-consuming and expensive tests, and KALI cannot justify testing every overload protector it receives. Instead, KALI uses an acceptance sampling plan to monitor the quality of the overload protectors. The acceptance…KALI, Inc., manufactures home appliances that are marketed under a variety of trade names. However, KALI does not manufacture every component used in its products. Several components are purchased directly from suppliers. For example, one of the components that KALI purchases for use in home air conditioners is an overload protector, a device that turns off the compressor if it overheats. The compressor can be seriously damaged if the overload protector does not function properly, and therefore KALI is concerned about the quality of the overload protectors. One way to ensure quality would be to test every component received through an approach known as 100% inspection. However, to determine proper functioning of an overload protector, the device must be subjected to time-consuming and expensive tests, and KALI cannot justify testing every overload protector it receives. Instead, KALI uses an acceptance sampling plan to monitor the quality of the overload protectors. The acceptance…
- A private investment club has $200,000 earmarked for investment in stocks. To arrive at anacceptable overall level of risk, the stocks that management is considering have been classifiedinto three categories: high risk, medium risk, and low risk. Management estimates that high-riskstocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks,6%/year. The members have decided that the investment in low-risk stocks should be equal tothe sum of the investments in the stocks of the other two categories. Determine how much theclub should invest in each type of stock if the investment goal is to have a return of$20,000/year on the total investment. (Assume that all the money available for investment isinvested.)Note: Develop the linear system of equations from the above theory and solve the system byGauss Jordon Method.What is the significance of R and R2 in gression model?A researcher is interested in understanding how the flexibility of vacation policies at a company influence employee satisfaction with their job. Company 1, Vance Refrigeration, has a 2 week vacation policy in which employees can take those 2 weeks at any time during the year. Company 2, Dunder Mifflin Paper Company, has a 2 week vacation policy in which employees can only take vacation days during specific pre-approved times of year. How could the confound be fixed for Scenario A? Be sure to tell me what technique you are using (constancy, repeated measures, randomization, elimination, or balancing), as well as how you would apply that technique to this specific scenario, and how that would fix this confound.