MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The data below is from https://www.worldometers.info/world-population/mexico-population/  

Year

Population of Mexico

2020

128,932,753

2019

127,575,529

2018

126,190,788

2017

124,777,324

2016

123,333,376

2015

121,858,258

2010

114,092,963

2005

106,005,203

2000

98,899,845

1995

91,663,285

1990

83,943,132

1985

75,983,485

1980

67,761,372

1975

59,607,953

1970

51,493,565

1965

44,123,853

1960

37,771,859

1955

32,350,596

1.. Show how you can verify that your linear model works for this data. (Keep trying until it works, and then come back and prove that it works here.)

2. Use your linear model to predict the population in 2050. Show work, sentence answer.

3. Explain whether you think a linear model is a reasonable approximation. Give specific reasons for your answer.

 

Expert Solution
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Step 1

1)
Given data of Year and respective population in Mexico as shown below
Statistics homework question answer, step 1, image 1

The scatter plot of the data is plotted  using excel and Inserted a trend line and the equation of best fit line and its value of Coefficient of determination as shown below.
1. First enter the given data in excel
2. Insert a scatter plot by selecting data and add trend line through Chart elements then display the equation of trend line and R^2 coefficient of determination, we get the following
Statistics homework question answer, step 1, image 2

With reference to plot we can clearly see the data form a straight line . Thus we have strong evidence that the relationship is linear and the linear model is y=1525755.63x-2952812960.34
where x is the year and y is the population in Mexico.

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