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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Use Excel to develop a regression model to predict Annual Food Spending by Annual Household Income for those living in the Metro area only. Suppose a household in the metro area has an annual income of $60,000. Predict how much they spend on food per year. Write your answer as a number and round to 2 decimal places. Annual Food Spending ($) Annual Household Income ($) Non mortgage household debt ($) Region: 1 = NE 2 = MW 3 = S 4 = W Location: 1 = Metro 2 = Outside Metro 8909 56697 23180 1 1 5684 35945 7052 1 1 10706 52687 16149 1 1 14112 74041 21839 1 1 13855 63182 18866 1 1 15619 79064 21899 1 1 2694 25981 8774 1 1 9127 57424 15766 1 1 13514 72045 27685 1 1 6314 38046 8545 1 1 7622 52408 28057 1 1 4322 41405 6998 1 1 3805 29684 4806 1 1 6674 49246 13592 1 1 7347 41491 4088 1 1 2911 26703 15876 1 1 8026 48753 16714 1 1 8567 55555 16783 1 1 10345 71483 21407 1 1 8694 50980 19114 1 1 8821 46403 7817 1 1…
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The average top ticket price for Broadway musicals has increased dramatically between 1975 and 2003. 1985 1998 2000 2003 72.83 118.97 130.15 44.99 Year Average Ticket Price 1975 13.63 a. Using the data in the table, find the linear regression equation that best fits the data. (Let x = 0 represent the number of years since 1970.) y = (Round values to three decimal places.) b. Predict the average top ticket price for Broadway musicals in the year 2012 if the price continues to increase at the same rate. (Let x represent the number of years since 1970.) (Round to two decimal places.) c. Find the rate at which the price is rising. per year (Round to two decimal places.)

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