A consumer index is listed for years 2008 to 2015 in the table below Complete parts (a) through (d).Year200820092010201162Index2012201320142015834561605779100(a) Plot the data with x= B corresponding to the year 2008.OAO 8.OD.120AV120AY120Ay12070-7070-70-2010131020-10 1320-1620101316(b) Use quartic regression to find a fourth-order polynomial function fx) that models these data10 1316(Round to three decimal places as needed)

Answered: years 2008 to 2015 in the table below…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A researcher feels that global warming may be reducing average rainfall in Perlis for the past 10 years. The researcher is interested in making predictions for future rainfall. The 10 years data of the rainfall in Perlis is shown in Table 4. Table 4 Year Amount (cm) 2009 40 2010 39 2011 41 2012 29 2013 32 2014 30 2015 15 2016 10 2017 11 2018 20 (a) Without using any software, construct a simple linear regression model for the above data. (b) Predict the rainfall for the year 2019 and 2020.
Cample 15.8) A company wants to assess the impact of R&D expenditure on annual profits. The fol- lowing table gives the information for 8 years: Year R&D Expenditure ('000 Rs) Annual Profit (C'000 Rs) 1993 9 45 1994 42 1995 41 1996 60 1997 30 1998 34 1999 25 2000 20 Estimate the regression equation and predict the annual profit for the year 2002 for an allocated sum of Rs 15,000 as R&D expenditure. O750 4532
he following table shows the annual number of PhD graduates in a country in various fields. NaturalSciences Engineering SocialSciences Education 1990 70 10 60 30 1995 130 40 100 50 2000 330 130 280 140 2005 490 370 460 210 2010 590 550 830 520 2012 690 590 1,000 900 (a)With x = the number of social science doctorates and y = the number of education doctorates, use technology to obtain the regression equation. (Round coefficients to three significant digits.) y(x) = Use technology to obtain the coefficient of correlation r. (Round your answer to three decimal places.) r =
c. Use f(x) to estimate the average salary in 2020. The average salary in 2020 will be thousands. (Type an integer rounded to the nearest whole thousands.) d. The average salary in NFL Jn 1997 was reported to be $736,700. How does this compare with the value given by the model? A. The model does not give a value for 1997. B. The actual value is greater than the model. OC. The actual value is less than the model. OD. The actual value is the same as the model.
The U.S. national debt (in billions of dollars) for selected years from 1980 is shown in the following table. Year 1980 1985 1990 1995 2000 2004 Debt 930.2 1945.9 3233.3 4974.0 5674.2 7379.1 (a) Find the least squares regression linear function giving national debt as a function of years since 1980 (x = 0 for 1980). (Round all numerical values to two decimal places.) f(x) = (b) Use the regression line to estimate the national debt in 2005. In 2018. (Round your answers to one decimal place.) 2005 $ billion 2018 $ billion (c) Assume 310 million (0.31 billion) people in the United States in 2018. What is the estimated per capita debt? (Round your answer to the nearest thousand.) $
The total number of views a certain video has on a social media website is recorded every day for five days. The results are recorded in the table below. Day 0 1 2 3 4 5 Total Views 2018 4575 14,724 39,019 93,130 317,352 a) Determine an exponential regression of the form y = ab using the least-squares method to fit this data, where y is the total number of views the video has on day x. Round each value to four decimal places. b) Using the regression from a), how many views will the video have at the end of day 7 ? Round to the nearest whole number.
The following data gives the approximate population of the world for selected years from 1850 until2000. Year 1850 1900 1950 1980 2000 Population 1.3 (billions) 1.6 3 4.4 Assume that the population growth can be modeled with an exponential function p = bemx where x is the year and p is the population in billions. Use linearleast-squares regression to determine the constants b and m for which the function best fits the data. Use the equation to estimate the population in the year 1970.
The ff data gives the approximate population of China from 1990-2010 Year 1900 1950 1970 1980 1990 2000 2010 Population 400 557 825 981 1153 1266 1370 Assume that the population growth can be modeled with an exponential function p = bemx , where x is the year and p is the population in millions. Write the equation in a linearized form of the equation, e.g. ln p = ln b + mx, and use linear least-squares regression (here you can use Excel) to determine the constants b and m for which the function best fits the data. Use the equation to estimate the population in the year 1985. Comment on the result vis a vis actual population of China in 1985.
When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is log(Area) = 0.490 + 2.004 log(Time). WWhat is the predicted area of the circle, in cm2, 4 seconds after the stone is dropped? O 49.72 cm2 O 199.43 cm2 O 311.89 cm? O 1854.10 cm2
he table shows the minimum wage rates for the United States during different years. Year 1978 1979 1980 1990 1991 1996 1997 2007 2008 2009 Minimum hourly wage ($) 2.65 2.90 3.35 3.80 4.25 4.75 5.15 5.85 6.55 7.25 Write the least squares regression equation that models the data. Let x = time in years since 1900 and let y = minimum hourly wage. Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work. Answer:

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS