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Economics
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Econ 145 - Fall 2023
ECON 145 : Final Assignment
Econ 145
Overview
For the final project, every question is private, so there will be no feedback on the coding portion. However,
you will be able to submit your assignment as many times as you want. You will see how many points you
earn on each part of the assignment. You will not be given feedback.
Similar to the format of the long homework, the final project is divided into 2 parts: a coding part that you
will submit through gradescope, and a write-up part that you will submit in a pdf format. The coding section
consists mainly of cleaning and preparing the data for the analysis you will conduct with the write-up.
Finally, this is a 2-week assignment, start early!
To Receive Credit
•
Save the scripting file (i.e. your R program file) as
assignment_final.R
. Make sure your capitalization
is correct as the autograder is case-sensitive.
•
Save your PERMID at the top of the Rscripts (i.e.
PERMID
←
xxxx
)
•
Be sure to include your first name, last name, and perm number on your final write-up.
•
Make sure all changes to the original dataset are done within the R script.
•
You must submit the write-up in a .pdf format to receive credit.
Grading on Coding Questions
Grading on the coding portion of the homework will come in two types of questions:
Public Questions
and
Private Questions
. Public Questions can be submitted as many times as you like to the autograder, and the
autograder will give detailed feedback. Additionally, the TAs will help you on Nectir and in office hours on
the Public Questions. On the other hand, Private Questions can be thought of as a mini quiz within the
homework. While you still have as many times to upload your answer as you want, the autograder will not
provide any feedback, and the TAs and Professor Startz will not provide any guidance or assistance (but
getting advice from classmates on Nectir or elsewhere is completely okay). Private Questions will be marked
on the homework assignment.
Things that can break the autograder:
•
Please read the
autograder_instructions.pdf
file on CANVAS.
Copyright UCSB 2023
1
Econ 145 - Fall 2023
For each homework assignment, words colored in
magnenta
indicate a variable/vector/tibble that will be
graded by the autograder. Pay close attention to these colored texts and be sure not to miss any. You
always
always always
need to include
PERMID
←
xxx
to receive credit. (Use your real permid, not “xxx”–but
you knew that.)
rm
(
list=
ls
())
# clear the environment
setwd
(
dirname
(rstudioapi
::
getSourceEditorContext
()
$
path))
#-------Import necessary packages here-------------------#
# This is the only package you need for the coding assignment
# Including other packages for the autograder may cause some issues
library
(tidyverse)
#------ Uploading PERMID --------------------------------#
PERMID
<-
"ABC1234"
#Type your PERMID with the quotation marks
PERMID
<-
as.numeric
(
gsub
(
"
\\
D"
,
""
, PERMID))
#Don
'
t touch
set.seed
(PERMID)
#Don
'
t touch
#------- Answers ----------------------------------------#
Coding Assignment
For the final assignment, you will be given 5 different types of data:
•
education_data.csv
: this is a biennial data containing the records of student debt from major US
universities between 2010 and 2020.
•
cost_data.csv
: this data contains information on the net out-of-pocket costs that families pay for
each university.
•
graduates_income.csv
: contains information on the income of students graduating in 2018. You will
use this data for the write-up.
•
data_description.csv
: this data contains the descriptions of the variables in the 3 datasets described
above.
•
CPI_U_minneapolis_fed.csv
: is the CPI data from the Federal Reserve of Minneapolis between 2000
and 2023.
First, for the coding assignment, go to Canvas and download the
CPI_U_minneapolis_fed.csv
and the
data_description.csv
data.
Then go to the data website for the class and download the other data
corresponding to the final project. You should get 2 datasets from the website:
education_data.csv
and
cost_data.csv
. The
graduates_income.csv
data is also on Canvas but you will not need it for the coding
part, only the write-up part.
As an analyst, main part of your job is to understand the data including its structure and variables.
education_data.csv
,
cost_data.csv
,
and
graduates_income.csv
are
described
in
the
file
called
data_description.csv
. Before starting, read this file to make sure that you understand the data.
Again, every question is private!
Part 1: Cleaning Education data
1. Import the CPI data (Make sure to not rename
CPI_U_minneapolis_fed.csv
when you download it
from Canvas), and select only the first and second columns. Name it
cpi_data
2. Import the education data.
This data should have 11 variables.
First, rename the variable
Year
to the lower case
year
.
Then, rename the other 10 variables according to the
rename
column in
data_description.csv
. Then, convert the school names to lower case. Finally, convert the 5 variables
Copyright UCSB 2023
2
Econ 145 - Fall 2023
listed below to numeric type (
Do not worry about warning message of NAs introduced by coercion
.)
Save it as
education_data
.
•
median_debt_low_income
,
median_debt_med_income
,
median_debt_high_income
•
default_rate
,
avg_family_income
3. Update the column called
institution_type
to be equal to
"public"
if the school is public; set
institution_type
to
"private
'
otherwise. Save this as
education_data_clean
.
4. Filter
education_data_clean
to include only the schools that predominantly offers a bachelor’s degree.
Name this data
education_data_BA1
5. Merge
education_data_BA1
with
cpi_data
by keeping only the values in
education_data_BA1
and
save it as
education_data_BA
.
Then convert the debt values and average family income to 2018
dollar values using the formula from the federal reserve of Minneapolis (You have done this in previous
homework.) You can find the formula
here
. Rename the variables such that:
•
the 2018 dollar value of
median_debt_low_income
is called
real_debt_low_income
•
the 2018 dollar value of
median_debt_med_income
is called
real_debt_med_income
•
the 2018 dollar value of
median_debt_high_income
is called
real_debt_high_income
•
the 2018 dollar value of
avg_family_income
is called
real_family_income
Finally, drop the 5 variables listed below which include the median variables, average family income, and
CPI values. Make sure to update
education_data_BA
. If you did everything right, the first few columns of
education_data_BA
should look like Table 1.
•
median_debt_low_income
,
median_debt_med_income
,
median_debt_high_income
,
•
avg_family_income
,
CPI
Part 2: Cleaning Cost Data
1. Import the cost dataset, name it
cost_data1
, and select the following 9 variables:
UNITID , INSTNM
, YEAR , NPT41_PUB, NPT43_PUB, NPT45_PUB, NPT41_PRIV, NPT43_PRIV, NPT45_PRIV
2. Using
cost_data1
, create
cost_data2
by doing the following: rename
YEAR
to
year
and rename the
other 8 columns according to the
rename
column in
data_description.csv
. Then convert the school
names to lower case and convert the following variable to numeric values:
mean_cost_low_income_public , mean_cost_med_income_public, mean_cost_high_income_public
mean_cost_low_income_private, mean_cost_med_income_private, mean_cost_high_income_private
3. Create a new column called
mean_cost_low_income
which is equal to
mean_cost_low_income_public
.
Then replace the
NA
values in
mean_cost_low_income
by
mean_cost_low_income_private
, otherwise
keep it to the original value of
mean_cost_low_income
. Do the same for median and high income cost:
•
create a new column called
mean_cost_med_income
which is equal to
mean_cost_med_income_public
.
Then replace the
NA
values in
mean_cost_med_income
by
mean_cost_med_income_private
, otherwise
keep it to the original value of
mean_cost_med_income
.
•
create a new column called
mean_cost_high_income
which is equal to
mean_cost_high_income_public
.
Then replace the
NA
values in
mean_cost_high_income
by
mean_cost_high_income_private
, other-
wise keep it to the original value of
mean_cost_high_income
.
Then remove remove the variables below:
•
mean_cost_low_income_public
,
mean_cost_low_income_private
,
mean_cost_med_income_public
,
•
mean_cost_med_income_private
,
mean_cost_high_income_public
,
mean_cost_high_income_private
.
Then save it as
cost_data3
. This should look like Table 2.
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4. Merge
cost_data3
with
cpi_data
by keeping only the values in
cost_data3
and save it as
cost_data4
.
Update
cost_data4
by creating 3 new columns which are the cost values converted to 2018 dollar values
using the formula from the federal reserve of Minneapolis. You can find the formula
here
. The name
of the new columns should be:
•
the 2018 dollar value of
mean_cost_low_income
is called
real_cost_low_income
•
the 2018 dollar value of
mean_cost_med_income
is called
real_cost_med_income
•
the 2018 dollar value of
mean_cost_high_income
is called
real_cost_high_income
5. Finally, remove the mean and CPI variables from
cost_data4
and save it as
cost_data
.
If you did
everything right, the first few observations of
cost_data
should look like Table 3.
The variables to
remove are:
•
mean_cost_low_income
,
mean_cost_med_income
,
mean_cost_high_income
,
CPI
Part 3: Merging debt and cost data
1. Merge
education_data_BA
and
cost_data
by
year
and
school_id
and by keeping only the val-
ues in
education_data_BA
and save it as
education_data_BA_cost
.
You should have 2 different
school_name
columns after the merge, one called
school_name.x
and the other
school_name.y
. Use
this to verify if you merged correctly.
Then drop
school_name.y
in
education_data_BA_cost
. The first few observations of
education_data_BA_cost
should look like Table 4.
2. Using
education_data_BA_cost
, replicate Table 5 and save is as
debt_cost_sumstat_year
.
3. Using
debt_cost_sumstat_year
, replicate Table 6, save it as
debt_cost_data_by_year
. This is harder
than the tables we usually make.
(
hint:
One way to do it is to first make one table with the
debt
column using the function
pivot_longer()
,
here
is a good tutorial on
pivot_longer()
, then make
another table with the
cost
column using the function
pivot_longer()
, then combine the two tables
by
year
,
institution_type
, and
income_category
using
inner_join()
.)
4. Using the
education_data_BA_cost
, replicate Table 7 to 10 below:
•
4a. name table 7 as
debt_sumstat_school_type
•
4b. table 8 as
debt_sumstat_year
•
4c. table 9 as
cost_sumstat_school_type
•
4d. table 10 as
cost_sumstat_year
Note:
The values in the tables below are just examples, the values in your correct tables should be different
because each student will receive a slightly different dataset.
Copyright UCSB 2023
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Econ 145 - Fall 2023
Write-up format
Your write-up must be written as a narrative and should be 4 pages long of writing (please do not write
more than 4 pages.) Attach your graphs, tables, and citations at the end of the 4-page writing (Any citation
format is fine as long as we can verify your sources.) Because you are asked to report multiple tables and
graphs, it’s fine if your tables and graphs are more than a page, but
the writing part of your write-up
cannot be more than 4 pages.
The grade on the write-up will depend on how clear the answer is, how good the writing is, and how clearly
labeled your tables/graphs are.
For instance, no bullet points, no screenshot of R outputs for tables and
do not include R variable names in your tables/graphs (Eg: for a variable name
grade_cat
or
gradeCat
in
your code, you should have a clear label such as
grade category
in your tables/graphs.) The legend and axis
labels should be readable and your tables/figures should have titles.
Overall, you will need to report
8 figures and no tables for this final write-up.
To make grading easier for the TAs, use the format:
12pt font for text body, times new roman, 1
inch margin, 1.5 spacing.
The format of this final write-up will follow a formal written report and must include the sections below
(each sections will be clearly described later in the prompt):
•
Section 1: Introduction (half a page)
•
Section 2: Debt and cost analysis (one page and a half)
•
Section 3: Debt, cost, and earnings after graduation (one page and a half)
•
Section 4: Conclusion (half a page)
Write-up - Main prompt
Suppose that you work for a state (pick any state of your choice from
education_data_BA_cost
) and your
job is to analyze the trend in student debt and default rate, education cost, family income, and earning after
graduation from your state. The content of each section of the report to your supervisor will be described
below:
Section 1: Introduction
This should be one paragraph (about half a page) describing the overall content of your report.
Section 2: Debt and cost analysis
In this section, you will be reporting on the analysis we conducted in the coding section.
This section is
divided into 2 parts: a data description and cleaning process part, and a debt and cost analysis part. This
section should be about a page and a half long including the the two parts described below.
Section 2 - Part 1: Data description and cleaning process
This is where you first describe the original data that was handed to you (education data, cost data, CPI
data.) For instance, what information do these data contain and what are the variables reported in them?
Then, describe the process you took to get to
education_data_BA_cost
such as how you cleaned the
education and cost data and how you combined them, how you converted the values to real 2018 dollar value
and why is this necessary (give a brief description of the conversion formula, your supervisor may not be an
economist and do not understand your formula), etc. Then, finally, finish by describing the clean dataset
education_data_BA_cost
.
For the final write-up, we give you the opportunity to work on a real world data, and that includes dealing
with missing values. If you look at the tables we constructed from the coding portion, there are many missing
Copyright UCSB 2023
5
Econ 145 - Fall 2023
values especially for the cost data. What missing value you get will depend on your individual data. We
give you freedom on how to handle these missing values, but you need to clearly explain in this section how
you handle the missing values and why your method makes sense.
The only method you cannot do is
drop them
. For instance, if one state is missing the entire income data, one method would be to use the
income data of another comparable state. Or if a value of a particular year is missing, then you can replace
the missing value of that particular year to the value of the previous year. But what if the previous is also
missing? Well now you have to make a decision again, but make sure to clearly explain your decision in this
section.
Please do not go on Nectir or ask the TAs if your method is correct
, there are many ways
to do this and there is no right or wrong way to do this, the most important is that you can clearly explain
that what you are doing makes sense. It is also possible that you are using different methods based on the
different tasks that you want to complete.
Section 2 - Part 2: Debt and cost analysis
Do not include the codes for the figures to the autograder.
First, using
education_data_BA_cost
, replicate figure 1, 2, and 3 from the prompt and report them for
your write-up. Note that figure 1, 2, and 3 are not clearly labeled, it is your job to report clearly labelled
figure 1, 2, and 3. Start by studying the overall trend in student debt, and discuss what you can learn from
figure 1, and 2. Then, proceed by comparing your state to the average values of the other states as shown
in figure 3.
Finally, complement the analysis you have done so far by analyzing the family income, out of pocket cost
(real cost variables), and default rate variables from
education_data_BA_cost
for your state
. Does the
trend in family income over time keep up with the trend in out-of-pocket cost? How is that related to the
amount of student debt and the default rate? What policy would you recommend to support the educational
cost of the students in your state? Report 2 different clearly labelled figures to support your point.
Again, you might be having some missing values in your data, this is where you apply the method you
explained in the data section.
Section 3: Debt, cost, and earnings after graduation
Do not submit the codes from this part to the autograder.
In this part, it is your turn to conduct an analysis of your choice that you find interesting. These are the
rules that you need to follow:
•
This part should be about a page and a half, discussing about student debt, education cost, and
earnings after graduation. This section does not have to be about the state you chose earlier. Provide
one relevant policy from your analysis.
•
You have to use the
graduates_income_2018.csv
data from Canvas and the education and cost data
provided in the coding part.
However, how you use and combine the different data will depend on
what analysis you want to conduct.
•
Similar to
section 2
, you need to have at least 2 parts: one describing clearly how you clean and
combine the different data (such as in section 2), and another one describing your analysis and results.
If you think that you need more than these two sections, then you are welcome to add more sections.
•
Include 3 clearly labeled graphs to support your analysis.
•
Similar to the previous section, you might be dealing with missing values in your data, this where you
can apply the missing method you explained in the data section.
•
Your grade will depend on the quality of your analysis. We expect a level of analysis like in section 2,
or better. We have conducted many data analysis throughout the quarter, so you can refer to previous
assignments as well for guidance. This is designed to be an individual analysis, so the TAs will not be
able to provide much guidance on this section.
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Section 4: Conclusion
This is where you summarize the main takeaways from your analysis. This should be one paragraph (about
half a page long.)
Note:
The values in the tables/figures below are just examples, the values in your correct tables/figures can
be different because each student will receive a slightly different dataset.
Copyright UCSB 2023
7
Econ 145 - Fall 2023
Table 1: Example of education_data_BA
school_id
school_name
year
state_id
predominant_degree
institution_type
default_rate
real_debt_low_income
real_debt_med_income
real_debt_high_income
real_family_income
110404
california institute of technology
2016
CA
3
private
0.000
NA
NA
15441.081
77672.31
193070
mesivtha tifereth jerusalem of america
2012
NY
3
private
0.000
NA
NA
NA
36414.03
239080
marian university
2020
WI
3
private
0.066
13826.024
17315.03
17808.889
NA
146533
lakeview college of nursing
2016
IL
3
private
0.031
25658.235
20597.52
15693.750
53698.84
148016
principia college
2012
IL
3
private
NA
NA
NA
NA
NA
225502
university of houston-victoria
2012
TX
3
public
0.074
7185.222
10115.09
8202.308
40096.40
233718
sweet briar college
2018
VA
3
private
0.018
19300.000
12000.00
12000.000
NA
219471
university of south dakota
2012
SD
3
public
0.085
11341.058
13287.74
12030.052
67938.76
181394
university of nebraska at omaha
2020
NE
3
public
0.020
12128.091
11941.80
13098.338
NA
101879
university of north alabama
2018
AL
3
public
0.116
14000.000
14770.00
15000.000
NA
Table 2: Example of cost_data3
school_id
school_name
year
mean_cost_low_income
mean_cost_med_income
mean_cost_high_income
195526
skidmore college
2012
10096
21063
39529
375939
yti career institute-altoona
2014
NA
NA
NA
155177
hesston college
2010
12066
14698
19176
218353
midlands technical college
2012
6232
10021
11145
366270
delta college of arts & technology
2010
NA
NA
NA
122755
san jose state university
2020
8107
13431
18029
457660
allure school of cosmetology
2018
NA
NA
NA
102058
selma university
2020
4147
NA
NA
447962
compass career college
2012
NA
NA
NA
449126
miami-jacobs career college-springboro
2016
15387
NA
NA
Table 3: Example of cost_data
school_id
school_name
year
real_cost_low_income
real_cost_med_income
real_cost_high_income
195526
skidmore college
2012
11041.401
23035.36
43230.54
375939
yti career institute-altoona
2014
NA
NA
NA
155177
hesston college
2010
13891.667
16921.91
22077.46
218353
midlands technical college
2012
6815.571
10959.38
12188.63
366270
delta college of arts & technology
2010
NA
NA
NA
122755
san jose state university
2020
7865.795
13031.39
17492.59
457660
allure school of cosmetology
2018
NA
NA
NA
102058
selma university
2020
4023.616
NA
NA
447962
compass career college
2012
NA
NA
NA
449126
miami-jacobs career college-springboro
2016
16098.649
NA
NA
Table 4: Example of education_data_BA_cost
school_id
school_name.x
year
state_id
predominant_degree
institution_type
default_rate
real_debt_low_income
real_debt_med_income
real_debt_high_income
real_family_income
real_cost_low_income
real_cost_med_income
real_cost_high_income
110404
california institute of technology
2016
CA
3
private
0.000
NA
NA
15441.081
77672.31
NA
NA
NA
193070
mesivtha tifereth jerusalem of america
2012
NY
3
private
0.000
NA
NA
NA
36414.03
6787.137
6889.939
7764.852
239080
marian university
2020
WI
3
private
0.066
13826.024
17315.03
17808.889
NA
NA
NA
NA
146533
lakeview college of nursing
2016
IL
3
private
0.031
25658.235
20597.52
15693.750
53698.84
NA
NA
NA
148016
principia college
2012
IL
3
private
NA
NA
NA
NA
NA
NA
NA
NA
225502
university of houston-victoria
2012
TX
3
public
0.074
7185.222
10115.09
8202.308
40096.40
NA
NA
NA
233718
sweet briar college
2018
VA
3
private
0.018
19300.000
12000.00
12000.000
NA
NA
NA
NA
219471
university of south dakota
2012
SD
3
public
0.085
11341.058
13287.74
12030.052
67938.76
NA
NA
NA
181394
university of nebraska at omaha
2020
NE
3
public
0.020
12128.091
11941.80
13098.338
NA
NA
NA
NA
101879
university of north alabama
2018
AL
3
public
0.116
14000.000
14770.00
15000.000
NA
NA
NA
NA
Table 5: Example of debt_cost_sumstat_year
year
institution_type
mean_debt_for_low_income
mean_debt_for_median_income
mean_debt_for_high_income
mean_cost_for_low_income
mean_cost_for_median_income
mean_cost_for_high_income
2010
private
14126.87
15782.08
14864.47
19276.789
23210.106
29780.979
2010
public
11029.85
12594.10
11423.39
7927.721
13316.988
17673.230
2012
private
14378.51
17048.40
16796.53
6787.137
6889.939
7764.852
2012
public
12031.34
12727.37
12063.49
NaN
NaN
NaN
2014
private
17887.31
19820.16
18439.76
12571.973
13087.540
NaN
2014
public
11670.26
12101.01
11148.14
NaN
NaN
NaN
2016
private
18084.04
20024.72
18446.16
NaN
NaN
NaN
2016
public
13689.14
14238.46
14213.70
7994.396
12549.769
15616.327
2018
private
14698.52
16553.38
16084.76
25029.000
25569.000
25501.000
2018
public
15969.58
16387.17
15969.42
NaN
NaN
NaN
2020
private
15441.87
17272.09
16889.94
14854.001
18570.048
20750.194
2020
public
14410.79
14353.45
14190.35
5190.823
10213.793
10081.840
Copyright UCSB 2023
8
Econ 145 - Fall 2023
Table 6: Example of debt_cost_data_by_year
year
institution_type
income_category
debt
cost
2010
private
low income
14126.87
19276.789
2010
private
median income
15782.08
23210.106
2010
private
high income
14864.47
29780.979
2010
public
low income
11029.85
7927.721
2010
public
median income
12594.10
13316.988
2010
public
high income
11423.39
17673.230
2012
private
low income
14378.51
6787.137
2012
private
median income
17048.40
6889.939
2012
private
high income
16796.53
7764.852
2012
public
low income
12031.34
NaN
2012
public
median income
12727.37
NaN
2012
public
high income
12063.49
NaN
2014
private
low income
17887.31
12571.973
2014
private
median income
19820.16
13087.540
2014
private
high income
18439.76
NaN
2014
public
low income
11670.26
NaN
2014
public
median income
12101.01
NaN
2014
public
high income
11148.14
NaN
2016
private
low income
18084.04
NaN
2016
private
median income
20024.72
NaN
2016
private
high income
18446.16
NaN
2016
public
low income
13689.14
7994.396
2016
public
median income
14238.46
12549.769
2016
public
high income
14213.70
15616.327
2018
private
low income
14698.52
25029.000
2018
private
median income
16553.38
25569.000
2018
private
high income
16084.76
25501.000
2018
public
low income
15969.58
NaN
2018
public
median income
16387.17
NaN
2018
public
high income
15969.42
NaN
2020
private
low income
15441.87
14854.001
2020
private
median income
17272.09
18570.048
2020
private
high income
16889.94
20750.194
2020
public
low income
14410.79
5190.823
2020
public
median income
14353.45
10213.793
2020
public
high income
14190.35
10081.840
Copyright UCSB 2023
9
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Econ 145 - Fall 2023
Table 7: Debt by institution
institution_type
mean_debt_for_low_income
mean_debt_for_median_income
mean_debt_for_high_income
mean_family_income
private
15790.18
17779.69
16943.32
59504.99
public
13030.71
13680.19
13089.68
58666.46
Table 8: Debt by year
year
mean_debt_for_low_income
mean_debt_for_median_income
mean_debt_for_high_income
mean_family_income
2016
16885.43
18409.95
17291.85
56320.48
2012
13664.15
15733.30
15356.04
60316.44
2020
15202.08
16560.23
16231.50
NaN
2018
15110.76
16492.94
16042.82
NaN
2014
16296.90
17749.17
16483.47
58959.43
2010
13223.57
14832.47
13839.47
61180.80
Table 9: Out-of-pocket cost by institution
institution_type
mean_cost_for_low_income
mean_cost_for_median_income
mean_cost_for_high_income
private
18639.994
22228.81
28350.09
public
7749.706
13058.96
16984.07
Table 10: Out-of-pocket cost by year
year
mean_cost_for_low_income
mean_cost_for_median_income
mean_cost_for_high_income
2016
7994.396
12549.769
15616.327
2012
6787.137
6889.939
7764.852
2020
11632.942
15784.630
17194.076
2018
25029.000
25569.000
25501.000
2014
12571.973
13087.540
NaN
2010
15845.676
20147.950
26055.518
13000
14000
15000
16000
17000
18000
2010.0
2012.5
2015.0
2017.5
2020.0
mean_debt_for_low_income
colour
Debt high income
Debt low income
Debt median income
Figure 1: Example of debt_plot
Copyright UCSB 2023
10
Econ 145 - Fall 2023
private
public
2010.0
2012.5
2015.0
2017.5
2020.0
2010.0
2012.5
2015.0
2017.5
2020.0
12500
15000
17500
20000
mean_debt_for_low_income
colour
Debt high income
Debt low income
Debt median income
Figure 2: Example of dept_plot by institution type
public
Avg_other_states
public
My_State
private
Avg_other_states
private
My_State
2010.0
2012.5
2015.0
2017.5
2020.0
2010.0
2012.5
2015.0
2017.5
2020.0
8000
12000
16000
20000
8000
12000
16000
20000
mean_debt_for_low_income
colour
Debt high income
Debt low income
Debt median income
Figure 3: Example of debt_vs_cost_plot
Copyright UCSB 2023
11
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