Posted: December 12th, 2021

Population Analysis, math homework help

Question description

Goals
An area’s population is always changing because of births, deaths,
and movement of people into or out of the area.
For this project, you will explore population changes for a
certain area.
First you’ll find historical population counts for the area.
Then you’ll fit regression models to the data and determine which model best
fits the data and use it to make a prediction.
Template
1.  Download the project template and rename the file as PopulationPresentation_YourName.
This file will become your presentation.
2.  Download the spreadsheet template and rename the file as Spreadsheet_YourName.
You will use this file to help you create your presentation.
Project Research
1.  Determine a state, or a county within a state, in the United
States that you will use for a population study. Consider picking where you
live or have lived, where you have visited, or where you would like to live or
visit someday.
2.   To find the census counts
for your chosen state or county, go to http://www.census.gov.
· 
Select a state under Quick
Facts. (If you do not find Quick Facts on the home page, choose it from the
dropdown choices under Data at the top of the page.) Data for the state from
the most recent census will appear. There is a dropdown box for counties.
· 
To see more data, click the
link that begins with “Browse data sets for.”  There you can find data from the previous
census, and, farther down, “Historical Population Counts.” On that page, scroll
to see the census counts for the state, and each county, for different decades.
· 
Note: If you choose a county, and the data for your chosen county
is not shown for all the years back to 1900, then choose the state, or choose
another county.
3.  Open your presentation. On slide 1, type your name and the state
or county you are exploring. On slide 2, complete the table with your data.
Double-check that you copied all the numbers correctly.
Project Writing
Before you begin writing, complete Try It: Analyzing Paired
Data, an online, ungraded assessment. You’ll practice analyzing paired data
sets—a skill essential to completing your project. Reach out to your teacher
with any questions you have after taking this Try It.
1.  Open your spreadsheet and use it to create a scatter plot of
your data.
· 
Enter the data. You want to
keep the x- and y-values small so the regression equations have manageable numbers.
Use these strategies to make the x-
and y-values small:
o  Instead of using the date, use the number of years since 1900
for the x-values.
o  Round populations. For example, you can round to the nearest
thousand (4,305 rounds to 4.3 thousand), to the nearest million (2,683,295
rounds to 2.7 million), and so on.
· 
Insert a scatter plot.
Include appropriate axis labels. Personalize the graph as desired by changing
font styles, colors, and so on.
· 
Save your work. You will need it later in this project.
2.  Open your presentation. On slide 3,
· 
Upload a screenshot of your
graph.
· 
Discuss the trend or
association between the variables.
3.  Use your spreadsheet to find and analyze a linear model for your
data set
· 
Find the correlation
coefficient r.
· 
On your scatter plot,
display the regression line, the equation of the regression line, and the value
of  . Format the line and
text boxes as desired.
4.  On slide 4 of your presentation,
· 
Upload a screenshot of your
plot with the regression line, equation, and coefficient of determination.
· 
Discuss how well the linear
model fits the data. Use the values for r
and to support your discussion.
5.  Use your spreadsheet to find and analyze a quadratic model for
your data set. On your scatter plot, display the quadratic regression curve,
the equation of the curve, and the value of . Format the curve and text boxes as desired.
6.  On slide 5 of your presentation,
· 
Upload a screenshot of your
plot with the quadratic regression curve, equation, and coefficient of
determination.
· 
Discuss how well the
quadratic model fits the data, and whether the quadratic model is a better fit
than the linear model. Use the coefficients of determination to support your
discussion.
7.  Use your spreadsheet to find and analyze an exponential model
for your data set. On your scatter plot, display the exponential regression
curve, the equation of the curve, and the value of . Format the curve and text boxes as desired.
8.  On slide 6 of your presentation,
· 
Upload a screenshot of your
plot with the exponential regression curve, equation, and coefficient of
determination.
· 
Discuss how well the
exponential model fits the data, and whether the exponential model is a better fit
than either the linear or quadratic models. Use the coefficients of
determination to support your discussion.
9.  On slide 7 of your presentation:
· 
Write the equation of the
regression model that fits the data best.
· 
Use that equation to
predict the population 20 years from now.
· 
Tell how much confidence
you have in your prediction and why.
Project Reflection
1.  Join the online session set up for you and your classmates.
2.  Write a response to any of the following.
· 
Name an event or a
condition that can change a population trend. Explain why and how it would
alter the population.
· 
What areas of the United
States, or the world, do you think are growing the most? What areas do you
think are growing the least, or even shrinking? Explain why you think that is.
· 
The world population is
increasing exponentially. Do you think that the trend will continue forever?
Explain why or why not.
3.  Comment on at least one other student’s post.
Alternate Reflection Assignment
If your teacher excuses you from the online discussion, then
add a slide (slide 8) to the end of your presentation. On the slide, name an
event or a condition that would cause the population in an area to increase.
Then name an event or a condition that would cause the population in an area to
decrease. Do you suspect that either of those conditions played a role in the
population of the state or county you explored? Explain.
Submission
Confirm that your presentation contains all your work:
· 
A table and a scatter plot
of your data
· 
Scatter plots with graphs
of each of the three regression models
· 
Discussions about the fit
of each model
· 
Your prediction for 20
years from now
· 
Alternate reflection
assignment slide (ONLY if you did not participate in the online discussion)I WILL GIVE YOU TWO EXAMPLES YOU JUST PARAPHRASE BUT NO PLAGIARISM AND BE SURE TO HAVE ALL OF THE FOLLOWING STEPS. 
project2.pptxproject_2_n.pptx

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