1. You have been hired as a consultant for the City of Los Angeles. City planners need to understand population data and use the data to predict the population in the future. Having a good estimate of the city's population helps the planners decide how much money will be needed for city maintenance and services, and helps local officials anticipate the needs for housing, school and other construction, and much more. Your work begins with finding the population of Los Angeles in the United States Census for 1920 to 2010. The U.S. Census Bureau data for the City of Los Angeles 1920-2010 appears in table below. Population using Linear Model Population using Quadratic Model Population using Exponential Model х, уears Year Actual since Population 1920 1920 576,673 10 1930 1,238,048 20 1940 1,504,277 30 1950 1,970,358 40 1960 2,479,015 50 1970 2,816,061 60 1980 2,966,850 70 1990 3,485,398 80 2000 3,694,820 90 2010 3,792,621

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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f.
Use your table form part (b) to find the best exponential function that models the data
by entering y1~abž. Give this model below (rounding the base b to five decimal places)
and use it to fill in the column labeled "Population using Exponential Model" in the table
above.
g. How do your models from parts (e) and (f) compare? How do each of the two models
compare to the actual data points on the graph? Which model do you think fits the data
best and why?
h. Choose one of the models from parts (b), (d), and (f) that you would share with the City
of Los Angeles in your role as a consultant. Write a paragraph written to the City of Los
Angeles describing your choice and include the following information: why you chose
the model you did, why you think the model you chose is the best choice, for what years
the city should consider the model accurate, and any other information you think is
relevant. Note: your explanation should be complete. Basing your preferred model off
of one function value will not be sufficient.
Transcribed Image Text:f. Use your table form part (b) to find the best exponential function that models the data by entering y1~abž. Give this model below (rounding the base b to five decimal places) and use it to fill in the column labeled "Population using Exponential Model" in the table above. g. How do your models from parts (e) and (f) compare? How do each of the two models compare to the actual data points on the graph? Which model do you think fits the data best and why? h. Choose one of the models from parts (b), (d), and (f) that you would share with the City of Los Angeles in your role as a consultant. Write a paragraph written to the City of Los Angeles describing your choice and include the following information: why you chose the model you did, why you think the model you chose is the best choice, for what years the city should consider the model accurate, and any other information you think is relevant. Note: your explanation should be complete. Basing your preferred model off of one function value will not be sufficient.
1. You have been hired as a consultant for the City of Los Angeles. City planners need to
understand population data and use the data to predict the population in the future. Having a
good estimate of the city's population helps the planners decide how much money will be
needed for city maintenance and services, and helps local officials anticipate the needs for
housing, school and other construction, and much more. Your work begins with finding the
population of Los Angeles in the United States Census for 1920 to 2010. The U.S. Census Bureau
data for the City of Los Angeles 1920-2010 appears in table below.
Population using
Exponential Model
х, уears
Actual
Population using
Linear Model
Population using
Quadratic Model
Year
since
Population
1920
1920
576,673
10
1930
1,238,048
20
1940
1,504,277
30
1950
1,970,358
40
1960
2,479,015
50
1970
2,816,061
60
1980
2,966,850
70
1990
3,485,398
80
2000
3,694,820
90
2010
3,792,621
Transcribed Image Text:1. You have been hired as a consultant for the City of Los Angeles. City planners need to understand population data and use the data to predict the population in the future. Having a good estimate of the city's population helps the planners decide how much money will be needed for city maintenance and services, and helps local officials anticipate the needs for housing, school and other construction, and much more. Your work begins with finding the population of Los Angeles in the United States Census for 1920 to 2010. The U.S. Census Bureau data for the City of Los Angeles 1920-2010 appears in table below. Population using Exponential Model х, уears Actual Population using Linear Model Population using Quadratic Model Year since Population 1920 1920 576,673 10 1930 1,238,048 20 1940 1,504,277 30 1950 1,970,358 40 1960 2,479,015 50 1970 2,816,061 60 1980 2,966,850 70 1990 3,485,398 80 2000 3,694,820 90 2010 3,792,621
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