. A fitness trainer decided to track the combined weight loss of several new customers. She recorded the combined weight loss each month and kept track for 6 months. Identify the best mathematical model with its corresponding R value and tell whether it is a good model. Month 2 9.
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- The market research department of a soft drink manufacturer is investigating the effectiveness of a price discount coupon on the purchase of a two-liter beverage product. A sample of 5500 customers was given coupons for varying-price discounts between 5 and 25 cents. The response variable was the number of coupons in each price discount category redeemed after one month. The data is in the picture. a. Expand the linear predictor to include a quadratic term. Is there any evidence that this quadratic term is required in the model?7 a) Differentiate the multi target mode where D =0, showing that it can’t be used for low dose b) mathematically explain whether the linear quadratic model is ideal model for high doses or low doseA municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.
- 7. A model relating a student's number of hours spent on studying and resulting finals grade is Grade 30+2X If the student does not study, what will be the grade of the student? 30 2 Cannot be determined 0With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t3 − 0.026t2 + 1.6t + 2.2The Boeing Company faces a critical strategic choice in its competition with Airbus Industries for the long-haul flight segment: Should it design and build a super-747 model that can carry 550 passengers at speeds around 350 mph, or a plane that can fly at 95 percent of the speed of sound but carry only about 350 passengers? As a member of Boeing's Planning Group, your task is to build a model to investigate the trade-offs involved in this decision.
- John Swanson, president of Market Research Inc., has asked you to estimate the coefficients of the modelY = β0 + β1X1 + β2X21 + b3X2where Y is the expected sales of office supplies for a large retail distributor of office supplies, X1 is the total disposable income of residents within 5 miles of the store, and X2 is the total number of persons employed in information-based businesses within 5 miles of the store. Recent work by a national consulting firm has concluded that the coefficients in the model must have the following restriction:b1 + b2 = 2Describe how you would estimate the model coefficients using least squares.4.6 optimization #27 a truck is 250 miles east of a sports car and is traveling west at a constant speed of 60 mi/hr. meanwhile the sportscar is going North at 80 mil/hr. when will the truck and car be closed to each other? what is the minimum distance between them? HINT: minimize the square root of the distance.Two pumps capable of delivering 100 hp to an agricultural application are being evaluated in a present economy study. The selected pump will only be utilized for one year, and it will have no market value at the end of the year. Pertinent data are summarized as given follows. If electric power costs $0.10 per kWh and the pump will be operated 4,000 hours per year, which pump should be chosen? Recall that 1 hp = 0.746 kW.
- A manufacturer of extruded plastic products finds that its average daily inventory is 1,250 pieces. A new marketing policy comes into effect and it is desirable to test H0: the average daily inventory is still the same, indicates which alternative hypothesis should be used if: a. You want to know whether or not the new policy changes the average daily inventory.b. It is desirable to demonstrate that the new policy actually reduces the average daily inventory.c. The new policy should be retained as long as it cannot be shown that it actually increases daily inventory.There is some evidence that, in the years 1981— 85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6 pp. 320— 35, 1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.76%, with a standard deviation of 0.12%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a)According to Chebyshev's theorem,…1. How much are three numbers worth if you want their product to be maximum and their sum to be 1000? Use Lagrange multipliers to get your answer or show that it is not possible