Per the following graph, explain the reason for every statistic that is calculated. For example, You have a scatter plot of an hourly wages vs level of education, the trend is represented by a cubic curve with R^2=0.999. It can mean that the relationship of the level of education vs the hourly wages has a cubic trend as the cubic model sui
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Data Management - Statistical Anaylsis
Per the following graph, explain the reason for every statistic that is calculated.
For example, You have a
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- With 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 + 2.2Step 2 of 3 : Using the model from the previous step, predict the company’s revenue for the 15th month. Round to four decimal places, if necessary. NOTE: Sum of X = 105Sum of Y = 9756Mean X =Mx = 7.5Mean Y=My = 696.8571Sum of squares (SSX) = 227.5Sum of products (SP) = 8132Regression Equation = ŷ = b0 + b1Xb1 = SP/SSX = 8132/227.5 = 35.74505b0 = MY - b1MX = 696.86 - (35.75*7.5) = 428.76923ŷ = 428.7692 + 35.7451X Hence the regression equation is ; Revenue = 428.7692 + 35.7451 (Month ) ( answer)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. a) show work for how that loss comes to be 35% b) show work for how it comes to be a decline of 650 trees per year
- An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 130 pounds, and will sell for $0.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 7 pounds, while the price per pound will decrease by $0.02.A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)Answer: (rounded to the nearest tenth)B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.)Answer: dollars (rounded to the nearest dollar)It is known that in any given year, • 90% of the people in a city move to the suburbs; • 80% of the people in the suburbs do not move to the city. Given an initial city population of 55,000 and an initial suburb population of 77,000, what are the long-term population levels of the city and the suburb?suppose that a five year rate of projection growth of population trends suggests that t years from now, the population of a certain community will be P thousand where P(t)= -t3+9t2+48t+200 at what time will the rate of population growth be maximized?
- Suppose that a patient receives a daily dose of 50mg/L of a certain drug such that 42% of it is eliminated from the body each day. If on a certain Monday, the concentration of the drug measured in their body (shortly after the daily dose) is 55 mg/L, write down the Discrete-Time Dynamical System describing the dynamics of the concentration xt of the drug in the body (in mg/L, t days after that Monday). Then write down the general solution to this DTDS.Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two months. An investor purchases 100 shares of A and invests all dividends received at a continuosuly compunded risk-free rate of 5%. After 3 months the stock is sold when the price is $35.40/share. Calculate the 3-month profit.If the population of an ant colony in 5 days is known to be 1100 and P'(0)=3 , what is the approximate current population of the ant colony? Assume the population grows linearly
- Hamed own a local gold market that currently has 4693401 subscriber in Instagram at a quarterly charge ofR.O. 18. He notices that if he raises the price of his commodity to R.O. (18 + 4), he will lose 8549 subscriber.Assuming that subscriptions are linearly related to the price, what price should Hamed charge for aquarterly subscription to maximize his revenue?If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program?Suppose you have inherited K100,000 from your father-in-law that can be invested in a combination of only two stock portfolios, with the maximum investment allowed in either portfolio set at K75,000 . The first portfolio has an average rate of return of 10%, whereas the second has 20%. In terms of risk factors associated with these portfolios, the first has a risk rating of 4 (on a scale 0 to 10), and the second has 9. Since you wish to maximize your return, you will not accept an average rate of return below 12% or risk factor above 6. Formulate the linear programming model for the problem. How much should you invest in each portfolio? Solve the problem by simplex method.