4. The following data give the approximate population of China for selected years from 1900 until2010:1900Population 400(millions)Year1950 1970 | 19801990 2000 | 20101135 1266 1370557825981Assume that the population growth can be modeled with an exponential function p = bem , where x is theyear and p is the population in millions. Write the equation in a linear form (Section 6.3), and use linearleast-squares regression to determine the constants b and m for which the function best fits the data. Use theequation to estimate the population in the year 1985.

Answered: Image /qna-images/answer/3324b8fd-e9d4-4eb8-8b7a-db82b3b285cb.jpg

Answered: 4. The following data give the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

help
70. College Costs The table lists the average tuition and fees (in constant 2014 dollars) at public colleges and universi- ties for selected years. Year 1984 1994 2004 2014 Tuition and Fees (in 2014 dollars) 12,179 16,188 7626 9386 Source: National Center for Education Statistics. (a) Find the equation of the least-squares regression line that models the data. (b) Graph the data and the regression line in the same viewing window. (c) Estimate the cost in 2009. (d) Use the model to predict the cost in 2019.
(Medicare). The annual expenditures for Medicare (in billions of dollars) by the US Government for selected years since 1980 are shown in Table 4. Let x represent the years since 1980. (Use 4 decimal places in all answers.) Table 4: Medicare Expenditures Year Billion $ 1980 37 1985 72 1990 111 1995 181 2000 197 2005 330 A. Find the exponential regression model for the data.M(x) = B. What is the r2 value for this model?r2 = C. Extimate (to the nearest billion) the expenditures in 2008?The Medicare expenditures in 2008 were about $ billion.
Fifty states Here is a data set on various measures of the50 United States. The Murder rate is per 100,000, HSGraduation rate is in %, Income is per capita income indollars, Illiteracy rate is per 1000, and Life Expectancy isin years. Find a regression model for Life Expectancywith three predictor variables by trying all four of thepossible models.a) Which model appears to do the best?b) Would you leave all three predictors in this model?c) Does this model mean that by changing the levels ofthe predictors in this equation, we could affect lifeexpectancy in that state? Explain. d) Be sure to check the conditions for multiple regres-sion. What do you conclude?
1. Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Find the equation of the regression line of age on weight, showing your work for calculations of a and b. Based on this, what is the predicted weight of a six year old child?
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 following table gives estimates of the percent of a certain country's population below the poverty level for 1998–2008. Year Percent 1998 12.8 2000 11.2 2002 12.1 2004 12.7 2006 12.9 2008 13.2 Find the least squares line that relates years to percent below the poverty level. (Let x = 0 represent the year 1998. Enter a mathematical expression.
The sales by Walker's Milk and Dairy products, in millions of dollars, for the seven-year period from 2014 to 2020 are reported in the following table. Year 2014 2015 2016 2017 2018 2019 2020 Y' = Sales ($ millions) $17.8 a. Determine the least squares trend equation. (Round the final answers in millions of dollars to 2 decimal places.) 19.7 22.4 t Estimate sales for 2021 24.0 24.7 27.5 29.2 b. Estimate sales for 2021. (Round the intermediate calculations and the final answer in millions of dollars to 2 decimal places.) ($ million).
The percentage of adults who smoke in America is given below. Year America 1970 37.4 mon n 1980 33.2 1990 25.3 2000 23.1 2010 19.4 a) Write the linear regression model for A(x), representing the percentage of adult smokers in America x years since 1970. [Use your calculator OR Desmos to find the equation, Round coefficients to the nearest 100"] b) What is the slope of A(x)? Explain its meaning. c) Solve A(x) = 15. Show your work. Explain the meaning of your answer. d) Suppose in 2005, there were approximately 200 million adults in America. Use your model to estimate how many were smokers. Show how you get your answer.
a) Determine the least squares regression equation for the population in years since 2005. Round the slope and y-intercept to the nearest tenth. b) Find the correlation coefficient, r-value, of the line. Round your answer to the nearest thousandth. c) Predict the population for the 2020. ____ thousand people

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS