The population of a country is expected to drop by 30% over the next 50 years as the percent of its citizens that are elderly increases. Projections for the country's population through 2050 are shown in the table. Year, t 2005 2010 2020 2030 2040 2050 Population, P (in millions) 127.8 127.5 124.1 117.8 109.5 100.8 (a) Use a graphing utility to create a scatter plot of the data. Let t = 5 represent 2005. Do the data appear to be approximately linear? Yes or No (b) Use the regression feature of a graphing utility to find a linear model for the data. (Round your numerical values to two decimal places.) P = (c) Identify the slope of the model from part (b). (Round your answer to two decimal places.)Interpret its meaning in the context of the problem.(Choose one below) The population of the country is expected to increase by 610,000 people each year. The population of the country is expected to decrease by 610,000 people each year. The population of the country is expected to increase by 133,660,000 people each year. The population of the country is expected to decrease by 133,660,000 people each year. (d) Use the linear model to predict the population in 2015, 2035, and 2060. (Round your answers to one decimal place.) 2015 million people 2035 million people 2060 million people Are these predictions reasonable? Yes or No

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The population of a country is expected to drop by 30% over the next 50 years as the percent of its citizens that are elderly increases. Projections for the country's population through 2050 are shown in the table.

Year, t	2005	2010	2020	2030	2040	2050
Population, P (in millions)	127.8	127.5	124.1	117.8	109.5	100.8

(a) Use a graphing utility to create a scatter plot of the data. Let t = 5 represent 2005. Do the data appear to be approximately linear? Yes or No

(b) Use the regression feature of a graphing utility to find a linear model for the data. (Round your numerical values to two decimal places.)

P =

(c) Identify the slope of the model from part (b). (Round your answer to two decimal places.)

Interpret its meaning in the context of the problem.(Choose one below)

The population of the country is expected to increase by 610,000 people each year.
The population of the country is expected to decrease by 610,000 people each year.
The population of the country is expected to increase by 133,660,000 people each year.
The population of the country is expected to decrease by 133,660,000 people each year.

(d) Use the linear model to predict the population in 2015, 2035, and 2060. (Round your answers to one decimal place.)

2015	million people
2035	million people
2060	million people

Are these predictions reasonable?

Yes or No

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