The amount of coal used by a small town over severaldecades is given in the table below.YearTons ofCoal64.6125194019501960134.41970 111.2198089.41990101.22000174.4a) Perform regression to find a cubic polynomial thatfits the data. Use years since 1940 as your inputs.p(x) =Round all values to 4 decimal places.b) Use the model to estimate the amount of coal thatwas used in 1965.tonsRound to 2 decimal places.c) Use the model to predict the amount of coal thatwill be used in 2040.tonsRound to 2 decimal places.

Given data: Cubic polynomial model:

Answered: The amount of coal used by a small town…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The annual expenditure for cell phones varies by the age of an individual. The average annual expenditure E(a) (in $) for individuals of age a (in years) is given below:a: 20, 30, 40, 50, 60, 70E(a): 502, 658, 649, 627, 476, 2131. Use quadratic regression to find the model that best represents the data.2. At what age is the yearly expenditure for cell phones the greatest? Round the answer to the nearest year. YOU MUST SHOW THE WORK FOR THIS PART!
The table below shows the value, V, of an investment (in dollars) n years after 1992. 1 3 7 4120 4283 4919 12 14 5874 6050 n V(n) 6663 Use your calculator to determine the exponential regression equation that models the set of data above. Round the "a" value to the nearest whole number, and round the "b" value to three decimals. Use the indicated variables and proper function notation. V(n) Based on the your regression model, what is the percent increase per year? The value of this investment is increasing at a rate of % per year. Based the your regression model, what is value of this investment in the year 1992? Round your answer to the nearest dollar. The value of this investment is $ in the year 1992. Based on the your regression model, what is value of this investment in the year 2002? Round your answer to the nearest dollar. The value of this investment is S in the year 2002.
Given: (0, 3.0), (2, 20.6), (4, 72.8), (6, 236.5), (8, 714.0), (10, 2209.7) Use the regression feature of a graphing utility to find an exponential model y ab* for the data and identify the coefficient of determination. (Enter coefficients to four decimal places.) yw
Using the regression to model annual income, a variable for years of education has a slope = 2000. This means that the model predicts each additional year of education will yield an extra 2,000 for the average person's salary, regardless of how many total years of education a person has. A. True B. False
Answer d,e and f
Table 3 gives the market value of a luxury sedan (in dollars) xyears after its purchase. Find an exponential regression model of the form y= ab* for this data set. Estimate the purchase price of the sedan. Estimate the value of the sedan 10 years after its purchase. Round answers to the nearest dollar. TABLE 3 Value ($) 1 23,125 19,050 3 15,625 11,875 5 9,450 6 7,125 2.
M3
The table shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in a country for selected years since 1950. Let x represent years since 1900. Find a logarithmic regression model (y = a +b ln x) for the yield. Estimate the yield in 2023. Year 1950 1960 Yield 50 37 60 1970 1980 60 84 93 70 80 1990 90 116 2000 2010 100 136 110 157 The regression model is y =+( In x. (Round to one decimal place as needed.) bushels/acre. The estimated yield in 2023 is (Round to the nearest integer.)
. Fill in the "Years since 1970" column for the data to the right. Make a scatter plot in Excel of the data using Years since 1970 and Total Waste in Millions of Tons (Title your graph and label your axes appropriately). How would you best describe the trend? Add an exponential regression model to the data. Write the equation below. Is it a good fit? Explain how you know. Based on the exponential model, what is the growth rate per year? Explain the meaning of the growth rate in the context of the data. Using the exponential model, make a prediction of how much plastic will be in landfills (and the ocean gyres) by Year Years since 1970 Total Waste in Millions of Tons 1970 0 249 1980 10 798 1985 15 1200 1990 20 1740 1995 25 2440 2000 30 3390 2005 35 4600 2010 40 6060 2015 45 7820 Do you think recycling alone will solve this problem (See Q11 and Q12)? What are some of the challenges in recycling plastic that might hinder the world from recycling all plastic…

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