SlideShare a Scribd company logo
1 of 16
1. Describe a Time Spirituality was Important in your Life or
that of Someone You Love or Cared for (E.G., Family Member,
Friend, Patient). Why was it Meaningful in that Situation?
Life has its dull and challenging moment that stretches
humanity to take a step back and take a personal reflection
driving one to a mindful, spiritual sensation. Spirituality gives
people a feeling of hope, calmness, compassion, and gratitude.
Spirituality can be achieved through prayer and meditation,
among other culturally acceptable traditions (De Blot, 2011). In
life, I have come across moments when my spiritualty was
challenged, that of family and close friends and family. Back in
2017, my uncle was driving back from work late at night, but he
was involved in a greasy road accident. The accident was fatal
as he was taken to the hospital unconscious, and he remained in
a coma state for over two weeks.
I come from a tight family where we keep close relations with
my grandparents, aunts, and uncles. We have dinners and famil y
gatherings, often with all present. My uncle's accident was a
challenge to everyone, especially to his young family of two. As
he lay in the hospital unconscious, our family comes together in
prayer every Sunday afternoon in my auntie's house. We all
wanted him to recover and go home someday. In silence and
gathering, we turned to God in worship and prayers seeking
hope and healing over my uncle. I consider this a time when our
family spirituality was tested, but we never gave up, because we
are a strong Christian family that believes in God's love, grace,
and protection. We also believe that through prayer and a strong
belief in God, my uncle recovered and went home.
2. What would you do if a Patient Asked You to Pray with them
or Read the Bible or another Holy Book He/She Might Have at
the Bedside?
According to De Blot (2011), spirituality and religion are two
different things, but they both thrive on the existence of each.
Unlike religion, spirituality is a personal affair that does not
relies on groups of people's beliefs to thrive. As a spiritual’s
person, I would be willing to read any scripture with a patient
despite the difference in religions. I would never feel offended
and show any kind of resistance because spirituality a sacred
path that people seek purpose and meaning of self, others, and
nature. If reading the scripture together with a Muslim patient
gives them hope, which attributes to a quick recovery, then I
will oblige.
3. There is Something Called Scripting, which is having
Something Written and Memorized for Difficult Situations.
Write a Prayer or Spiritual Message You Could Use in the in the
above Situation. Explain why you chose those words.
"Dear God, thank you for a new day and breathe of life. As we
cruise through the day, grant me a favor, safety, good health,
and abundance of your love and blessing. Allow positivity and
wisdom to follow through the day and protect my family and me
from any form of evil. Grant healing to those in need and
restore hope to those in defeat. In Jesus' name, Amen."
Life brings us a bounty of good, bad, so we all need peace,
hope, and God. We need a higher power of guidance to
overcome harsh destinies, remain at peace, and make reasonable
judgments (Luhrmann & Morgain, 2012). All we need at the end
of the day is to count our blessing in joy and calmness. My
scripted prayer above helps attract the higher power in my daily
doings, invoking the spirit of healing, happiness, and bounty,
and introducing calmness in my everyday life. I begin my
prayers by showing gratitude for what I have then sought God's
favor in a new day. We all live in fear of bad things, so I seek
the higher power to provide and give safety. The prayer keeps
me hopeful for a good day.
References
De Blot, P. (2011). Religion and spirituality. In Handbook of
spirituality and business (pp. 11-17). Palgrave Macmillan,
London.
https://link.springer.com/chapter/10.1057%2F9780230321458_2
Luhrmann, T. M., & Morgain, R. (2012). Prayer as inner sense
cultivation: An attentional learning theory of spiritual
experience. Ethos, 40(4), 359-389.
https://www.researchgate.net/publication/260139832_Prayer_as
_Inner_Sense_Cultivation_An_Attentional_Learning_Theory_of
_Spiritual_Experience
Homework 2
Due: before 12:00 pm (noon) on Tuesday, March 30. Please do
not include your name on your write-up, since
these documents will be reviewed by anonymous peer graders.
For probability derivations, show your work and/or explain your
reasoning. Do not include your raw R
code in your write-up unless we explicitly ask for it. You will
submit your R script as a separate
document to the write-up itself. On Canvas, you will see two
assignments pages corresponding to Homework
2: (1) to upload your write-up PDF file and (2) to upload the R
script that you used to generate your
write-up. Your write-up is what will be peer graded. The R
script will not be graded, but you must submit it
to receive credit on the write-up.
If you use tables or figures, make sure they are formatted
professionally. Figures and tables should have
informative captions. Numbers should be rounded to a sensible
number of digits (you’re at UT and therefore
a smart cookie; use your judgment for what’s sensible
depending on the level of precision that is appropriate
for the problem context).
Problem 1 - NHANES
The American National Health and Nutrition Examination
Surveys (NHANES) are collected by the US
National Center for Health Statistics, which has conducted a
series of health and nutrition surveys since
the early 1960s. Since 1999, approximately 5,000 individuals of
all ages are interviewed each year. For this
problem you will need to install the NHANES package in
RStudio with a built-in data frame called NHANES.
library(NHANES)
library(mosaic)
data(NHANES)
Part A: Create a histogram for the distribution of SleepHrsNight
for individuals aged 18-22 (inclusive) via
the bootstrap. Use at least 10000 iterations. Include the plot and
report the mean sleep hours for this age
group. Optional: how does your sleep compare?
Part B: Now we want to build a confidence interval for the
proportion of women we think are pregnant at
any given time. Bootstrap a confidence interval with 10000
iterations. Include in your write-up a histogram
of your simulation results, along with a 95% confidence interval
for the proportion. To speed things up, you
can use this code to subset the NHANES data frame to one with
only women. Let’s get rid of the N/A values
for our variable of interest (PregnantNow) in our filtered data
frame:
NHANES_women <- NHANES %>%
filter(Gender=="female",
!is.na(PregnantNow)
)
Problem 2 - Iron Bank
The Securities and Exchange Commission (SEC) is
investigating the Iron Bank, where a cluster of employees
have recently been identified in various suspicious patterns of
securities trading. Of the last 2021 trades, 70
were flagged by the SEC’s detection algorithm. Trades are
flagged periodically even when no illicit market
activity has taken place. For that reason, the SEC often
monitors individual and institutional trading but
does not investigate detected incidents that may be consistent
with random variability in trading patterns.
SEC data suggest that the overall baseline rate of suspicious
securities trades is 2.4%.
Are the observed data (70 flagged trades out of 2021) consistent
with the SEC’s null hypothesis that, over the
long run, securities trades from the Iron Bank are flagged at the
same baseline rate as that of other traders?
Use Monte Carlo simulation (with at least 100000 simulations)
to calculate a p-value under this null hypothesis.
Include the following items in your write-up:
1
• the null hypothesis that your are testing;
• the test statistic you used to measure evidence against the null
hypothesis;
• a plot of the probability distribution of the test statistic,
assuming that the null hypothesis is true;
• the p-value itself;
• and a one-sentence conclusion about the extent to which you
think the null hypothesis looks plausible
in light of the data. This one is open to interpretation! Make
sure to defend your conclusion.
Problem 3 - Armfold
A professor at an Australian university ran the following
experiment with her students in a data science
class. Everyone in the class stood up, and the professor asked
everyone to fold their arms across their chest.
Students then filled out an online survey with two pieces of
information: 1) Did they fold their arms with the
left arm on top of right, or with the right arm on top of the left?
2) Did they identify as male or female? The
professor then asked her students to assess whether, in light of
the data from the survey, there was support
for the idea that males and females differed in how often they
folded their arms with their left arm on top of
the right. The survey data indicated that males folded their arms
with their left arms on top more frequently.
But how much more frequently? And was this just a “small-
sample” difference? Or did it accurately reflect a
population-level trend? The data from this experiment are in
armfold.csv. There are two relevant variables:
• LonR_fold: a binary (0/1) indicator, where 1 indicates left arm
on top, and 0 indicates right arm on
top.
• Sex: a categorical variable with levels male and female.
(There’s also a third variable indicating which hand the student
writes with, but we’re not using that here.)
Your task (quite similar to what we did with the recidivism R
walkthrough) is to assess support for any
male/female differences in the population-wide rate of “left arm
on top” folding. Make sure to quantify your
uncertainty about how much more often males fold their left
arms on top. (That is, it’s not enough to just
report the estimate for this sample; you have to provide a
confidence interval that tells us how we can expect
this number to generalize to the wider population. In doing so,
you can treat this sample as if it were a
random sample from the relevant population, in this case
university students.) Your write-up should include
four sections:
1) Question: What question are you trying to answer?
2) Approach: What modeling approach did you use to answer
the question?
3) Results: What evidence/results did your modeling approach
provide to answer the question? This
might include numbers, figures, and/or tables as appropriate
depending on your approach.
4) Conclusion: What is your conclusion about your question?
You will want to provide a short written
interpretation of your confidence interval.
Note: for a relatively simple problem like this, each of these
four sections will likely be quite short. Nonetheless,
these sections reflect a good general organization for a data-
science write-up. So we’ll start practicing with
this organization on a simple problem, even if it seems a bit
overkill at first. (It is certainly possibly in this
case for each of them to be only 1 or 2 sentences long. Although
you might feel you need more, and although
nobody on our end is breaking out a word counter, it shouldn’t
be too much longer than that.)
Problem 4 - Ebay
In this problem, you’ll analyze data from an experiment run by
EBay in order to assess whether the company’s
paid advertising on Google’s search platform was improving
EBay’s revenue. (It was certainly improving
Google’s revenue!)
Google Ads, also known as Google AdWords, is Google’s
advertising search system, and it’s the primary way
the company made its $162 billion in revenue in fiscal year
2019. The AdWords system has advertisers bid on
certain keywords (e.g., “iPhone” or “toddler shoes”) in order for
their clickable ads to appear at the top of
2
the page in Google’s search results. These links are marked as
an “Ad” by Google, and they’re distinct from
the so-called “organic” search results that appear lower down
the page.
Nobody pays for the organic search results; pages get featured
here if Google’s algorithms determine that
they’re among the most relevant pages for a given search query.
But if a customer clicks on one of the
sponsored “Ad” search results, Google makes money. Suppose,
for example, that EBay bids $0.10 on the
term “vintage dining table” and wins the bid for that term. If a
Google user searches for “vintage dining
table” and ends up clicking on the EBay link from the page of
search results, EBay pays Google $0.10 (the
amount of their bid). 1
For a small company, there’s often little choice but to bid on
relevant Google search terms; otherwise their
search results would be buried. But a big site like EBay doesn’t
necessarily have to pay in order for their
search results to show up prominently on Google. They always
have the option of “going organic,” i.e. not
bidding on any search terms and hoping that their links
nonetheless are shown high enough up in the organic
search results to garner a lot of clicks from Google users. So the
question for a business like EBay is, roughly,
the following: does the extra traffic brought to our site from
paid search results—above and beyond what
we’d see if we “went organic”—justify the cost of the ads
themselves?
To try to answer this question, EBay ran an experiment in May
of 2013. For one month, they turned off
paid search in a random subset of 70 of the 210 designated
market areas (DMAs) in the United States. A
designated market area, according to Wikipedia, is “a region
where the population can receive the same or
similar television and radio station offerings, and may also
include other types of media including newspapers
and Internet content.” Google allows advertisers to bid on
search terms at the DMA level, and it infers the
DMA of a visitor on the basis of that visitor’s browser cookies
and IP address. Examples of DMAs include
“New York,” “Miami-Ft. Lauderdale,” and “Beaumont-Port
Arthur.” In the experiment, EBay randomly
assigned each of the 210 DMAs to one of two groups:
• the treatment group, where advertising on Google AdWords
for the whole DMA was paused for a
month, starting on May 22.
• the control group, where advertising on Google AdWords
continued as before.
In ebay.csv you have the results of the experiment. The columns
in this data set are:
• DMA: the name of the designated market area, e.g. New York
• rank: the rank of that DMA by population
• tv_homes: the number of homes in that DMA with a
television, as measured by the market research
firm Nielsen (who defined the DMAs in the first place)
• adwords_pause: a 0/1 indicator, where 1 means that DMA was
in the treatment group, and 0 means
that DMA was in the control group.
• rev_before: EBay’s revenue in dollars from that DMA in the
30 days before May 22, before the
experiment started.
• rev_after: EBay’s revenue in dollars from that DMA in the 30
days beginning on May 22, after the
experiment started.
The outcome of interest is the revenue ratio at the DMA level,
i.e. the ratio of revenue after to revenue
before for each DMA. If EBay’s paid search advertising on
Google was driving extra revenue, we would expect
this revenue ratio to be systematically lower in the treatment-
group DMAs versus the control-group DMAs.
On the other hand, if paid search advertising were a waste of
money, then we’d expect the revenue ratio to
be basically equal in the control and treatment groups.
1There’s huge variability in the market price of different search
terms. The market price per click for a search term like
"insurance" or "attorney" or "MBA programs" might be $50 or
more. For stuff you might buy on EBay, it’s usually a lot less.
3
https://en.wikipedia.org/wiki/HTTP_cookie
Two explanatory notes here:
• We use the ratio rather than the absolute difference because
the DMAs differ enormously in population
and therefore revenue.
• We wouldn’t necessarily expect the before-and-after revenue
ratio to be 1 (i.e. similar revenue before and
after the experiment), even in the control-group DMAs. That’s
because, like any retailer, EBay’s sales
exhibit a lot of seasonal patterns and might be lower in some
months across the board, regardless of
paid search. That’s why the important question isn’t whether the
revenue is the same before and after
in the treatment-group DMAs, but whether the before-and-after
ratio is the same for the treatment
group as for the control group.
Your task is compute the average treatment effect and provide a
confidence interval via bootstrapping
to assess the evidence for whether the revenue ratio is the same
in the treatment and control groups, or
whether instead the data favors the idea that paid search
advertising on Google creates extra revenue
for EBay. Make sure you use at least 10000 Monte Carlo
simulations in your bootstrap simulation.
Your write-up should include the sections: 1) Question; 2)
Approach; 3) Results; 4) Conclusion as
outlined in Problem 4.
Problem 5 - Creatinine
Download the data in creatinine.csv. Each row represents one of
150 patients from a particular nephrolo-
gist’s office. The variables in this data frame are:
• age: patient’s age in years.
• creatclear: patient’s creatinine clearance rate in mL/minute, a
measure of kidney health (a higher rate
means better clearance, i.e., more healthy).
Use these data to answer three questions:
A) What creatinine clearance rate should we expect for a 36-
year-old? Explain briefly (using one or two
sentences and equations) how you determined this estimate.
B) How does creatinine clearance rate change with age? (This
should be a single number whose units are
ml/minute per year.) Explain briefly (one or two sentences) how
you determined this.
C) Who has a creatinine clearance rate that is healthier (higher)
for their age: a 45-year-old with a rate of
130, or a 60-year-old with a rate of 120? Explain briefly (using
a few sentences and showing your work
with equations) how you determined this.
Problem 6 - Orbital Scanner
If a Resistance ship enters the atmosphere on the desolate rock
planet of Exegol, the probability that the
Imperial fleet’s orbital scanner will correctly register its
presence is 95%. If there is, in fact, no Resistance
ship on Exegol, the scanner will falsely register the presence of
a ship with probability 5%. Historical data
indicate that there is a 15% probability at any given time that a
Resistance ship is on Exegol.
Imagine that you are among the Imperial Guard assigned to the
Sith Citadel. Today, the orbital scanner
registers the presence of a Resistance ship. What is the
probability that a Resistance ship is, in fact, on
Exegol? Prepare a short report with this calculation. Don’t
forget to show your work.
Problem 7 - Big Mac Index
From The Economist: "The Big Mac index was invented by The
Economist in 1986 as a lighthearted measure
of the extent to which currencies are at their ‘correct’ level. It
is based on the theory of purchasing-power
parity (PPP), the idea that long-run exchange rates should move
towards the rate that equalises the prices of
an identical basket of goods and services (e.g., a burger) in any
two countries.
4
Burgernomics was never intended as a precise guide of currency
misalignment but rather a tool to make
exchange-rate theory more digestible. Yet the Big Mac index is
now a global standard appearing in economic
textbooks and used in academic studies."
Download bigmac.csv to access a data frame with the following
variables:
• date: Date of observation
• iso_a3: Three-character ISO 3166-1 country code
• currency_code: Three-character ISO 4217 currency code
• name: Country name
• local_price: Price of a Big Mac in the local currency
• dollar_ex: Local currency units per dollar
• GDP_dollar: GDP per person, in dollars
Let’s use this dataset to construct and analyze a simpler version
of the Big Mac Index.
Preprocessing
For each observation, create a new variable for the price of a
Big Mac in US Dollars (USD), dividing the
local price by the local currency units per dollar. Before you do
that, however, it’s good practice to account
for any ‘gotchas’ that could happen when dividing—make sure
that the local currency units per dollar are all
positive, non-zero values.
library(tidyverse)
bigmac <- read.csv("bigmac.csv")
bigmac <- bigmac %>% filter(dollar_ex > 0) %>%
mutate(price_usd = local_price/dollar_ex)
For convenience, let’s also add another variable for the year of
the observation date. To do this, use the
function lubridate::year() on the date variable like so:
bigmac <- bigmac %>% mutate(year = lubridate::year(date))
Because each year can possibly have multiple observations per
country, average the USD price across each
country and year to avoid possible duplicates. You should use
the dataset you make here for the subsequent
problems. Any references to price refer to the average
calculated in this step.
avg_bigmac <- bigmac %>%
group_by(name, year) %>%
summarise(avg_usd = mean(price_usd, na.rm=TRUE))
Part A: Use boxplots to visualize how the distribution of price
differs by year. Remember the factor()
function for treating numeric variables as categorical.
Based on your plot, what can you say about the price of a Big
Mac over time? In your write-up, include
an informative caption (a few sentences or a short paragraph)
below the plot that identifies the variables
and units plotted on the chart and also summarizes main
takeaways from the plot. Be sure to comment on
measures of both center and spread, as well the presence of
outliers.
Part B: What country had the most expensive Big Mac (in US
Dollars) and how much was it? In what year
was it most expensive?
Part C: Now calculate the actual big mac index for 2021. This is
the percentage difference of the price of a
Big Mac in a given locale relative to the price of a Big Mac in
the United States. I stored my US Big Mac
price in a variable for easy reference later (the pull() command
returns just numbers, no fancy dataframe
stuff):
us_price <- avg_bigmac %>% filter(year==2021,
name=="United States") %>% pull(avg_usd)
Take the top 20 values of the index and plot them, sorted
ascending or descending. Useful functions here are
top_n or slice_max() (see documentation for examples of
usage). You may also want to use reorder()
where you can pass to your axis aesthetic the label and var iable
to sort on. For example, if I wanted the
5
country as one of my plot variables, I could use
reorder(country, big_mac_index) in place of just country
to sort them by the values of my Big Mac index variable. If you
are having trouble with slice_max() try
piping your dataframe to ungroup() then piping it to
slice_max().
Part D: Address the following questions with a few sentences
(no more than a short paragraph) in your
write-up: - Which country’s currency is most overvalued
relative to the United States? By how much? - Are
there more overvalued or undervalued currencies, relative to the
US? - What problems might you foresee
with the index as we’ve currently calculated it?
6
Homework 2Problem 1 - NHANESProblem 2 - Iron
BankProblem 3 - ArmfoldProblem 4 - EbayProblem 5 -
CreatinineProblem 6 - Orbital ScannerProblem 7 - Big Mac
IndexPreprocessing

More Related Content

Similar to 1. Describe a Time Spirituality was Important in your Life or that

Writing Legal Essays.pdf
Writing Legal Essays.pdfWriting Legal Essays.pdf
Writing Legal Essays.pdf
Rosa Williams
 
Case Study Hereditary AngioedemaAll responses must be in your .docx
Case Study  Hereditary AngioedemaAll responses must be in your .docxCase Study  Hereditary AngioedemaAll responses must be in your .docx
Case Study Hereditary AngioedemaAll responses must be in your .docx
cowinhelen
 
SW 411 HBSE MIDTERM RUBRICINTRODUCTIONIntroduce your t.docx
SW 411 HBSE MIDTERM RUBRICINTRODUCTIONIntroduce your t.docxSW 411 HBSE MIDTERM RUBRICINTRODUCTIONIntroduce your t.docx
SW 411 HBSE MIDTERM RUBRICINTRODUCTIONIntroduce your t.docx
ssuserf9c51d
 

Similar to 1. Describe a Time Spirituality was Important in your Life or that (9)

Transform Healthcare, Tap Into A Great Low Cost Resource
Transform Healthcare, Tap Into A Great Low Cost ResourceTransform Healthcare, Tap Into A Great Low Cost Resource
Transform Healthcare, Tap Into A Great Low Cost Resource
 
Sample Essay Ielts Band 9. Online assignment writing service.
Sample Essay Ielts Band 9. Online assignment writing service.Sample Essay Ielts Band 9. Online assignment writing service.
Sample Essay Ielts Band 9. Online assignment writing service.
 
Critical Analysis Essay. 4 Easy Ways to Write a Critical Analysis with Pictures
Critical Analysis Essay. 4 Easy Ways to Write a Critical Analysis with PicturesCritical Analysis Essay. 4 Easy Ways to Write a Critical Analysis with Pictures
Critical Analysis Essay. 4 Easy Ways to Write a Critical Analysis with Pictures
 
Writing Legal Essays.pdf
Writing Legal Essays.pdfWriting Legal Essays.pdf
Writing Legal Essays.pdf
 
Case Study Hereditary AngioedemaAll responses must be in your .docx
Case Study  Hereditary AngioedemaAll responses must be in your .docxCase Study  Hereditary AngioedemaAll responses must be in your .docx
Case Study Hereditary AngioedemaAll responses must be in your .docx
 
SW 411 HBSE MIDTERM RUBRICINTRODUCTIONIntroduce your t.docx
SW 411 HBSE MIDTERM RUBRICINTRODUCTIONIntroduce your t.docxSW 411 HBSE MIDTERM RUBRICINTRODUCTIONIntroduce your t.docx
SW 411 HBSE MIDTERM RUBRICINTRODUCTIONIntroduce your t.docx
 
Simple Essay About Myself. Sample Essay About Me. 2
Simple Essay About Myself. Sample Essay About Me. 2Simple Essay About Myself. Sample Essay About Me. 2
Simple Essay About Myself. Sample Essay About Me. 2
 
Resource Academia Essay Writing Competition
Resource Academia Essay Writing CompetitionResource Academia Essay Writing Competition
Resource Academia Essay Writing Competition
 
Existential crisis and spiral dynamics
Existential crisis and spiral dynamicsExistential crisis and spiral dynamics
Existential crisis and spiral dynamics
 

More from MartineMccracken314

1. Jack is the principal.  Mary is Jacks agent.  Mary enters into
1. Jack is the principal.  Mary is Jacks agent.  Mary enters into1. Jack is the principal.  Mary is Jacks agent.  Mary enters into
1. Jack is the principal.  Mary is Jacks agent.  Mary enters into
MartineMccracken314
 
1. IntroversionScore 11 pts.4 - 22 pts.Feedback Some peop
1. IntroversionScore  11 pts.4 - 22 pts.Feedback Some peop1. IntroversionScore  11 pts.4 - 22 pts.Feedback Some peop
1. IntroversionScore 11 pts.4 - 22 pts.Feedback Some peop
MartineMccracken314
 
1. International financial investors are moving funds from Talona
1. International financial investors are moving funds from Talona 1. International financial investors are moving funds from Talona
1. International financial investors are moving funds from Talona
MartineMccracken314
 
1. Integrity, the basic principle of healthcare leadership.Conta
1. Integrity, the basic principle of healthcare leadership.Conta1. Integrity, the basic principle of healthcare leadership.Conta
1. Integrity, the basic principle of healthcare leadership.Conta
MartineMccracken314
 
1. Information organized and placed in a logical sequence (10 po
1. Information organized and placed in a logical sequence (10 po1. Information organized and placed in a logical sequence (10 po
1. Information organized and placed in a logical sequence (10 po
MartineMccracken314
 
1. In our grant application, we included the following interventio
1. In our grant application, we included the following interventio1. In our grant application, we included the following interventio
1. In our grant application, we included the following interventio
MartineMccracken314
 
1. I believe that the protagonist is Nel because she is the one th
1. I believe that the protagonist is Nel because she is the one th1. I believe that the protagonist is Nel because she is the one th
1. I believe that the protagonist is Nel because she is the one th
MartineMccracken314
 
1. If the profit from the sale of x units of a product is P =
1. If the profit from the sale of x units of a product is P = 1. If the profit from the sale of x units of a product is P =
1. If the profit from the sale of x units of a product is P =
MartineMccracken314
 
1. How does CO2 and other greenhouse gases promote global warmin
1. How does CO2 and other greenhouse gases promote global warmin1. How does CO2 and other greenhouse gases promote global warmin
1. How does CO2 and other greenhouse gases promote global warmin
MartineMccracken314
 
1. How do you think communication and the role of training address
1. How do you think communication and the role of training address1. How do you think communication and the role of training address
1. How do you think communication and the role of training address
MartineMccracken314
 
1. For this reaction essay is a brief written reaction to the read
1. For this reaction essay is a brief written reaction to the read1. For this reaction essay is a brief written reaction to the read
1. For this reaction essay is a brief written reaction to the read
MartineMccracken314
 
1. Find something to negotiate in your personal or professional li
1. Find something to negotiate in your personal or professional li1. Find something to negotiate in your personal or professional li
1. Find something to negotiate in your personal or professional li
MartineMccracken314
 
1. FAMILYMy 57 year old mother died after a short illness
1. FAMILYMy 57 year old mother died after a short illness 1. FAMILYMy 57 year old mother died after a short illness
1. FAMILYMy 57 year old mother died after a short illness
MartineMccracken314
 
1. Explain the four characteristics of B-DNA structure Differenti
1. Explain the four characteristics of B-DNA structure Differenti1. Explain the four characteristics of B-DNA structure Differenti
1. Explain the four characteristics of B-DNA structure Differenti
MartineMccracken314
 
1. examine three of the upstream impacts of mining. Which of these
1. examine three of the upstream impacts of mining. Which of these1. examine three of the upstream impacts of mining. Which of these
1. examine three of the upstream impacts of mining. Which of these
MartineMccracken314
 
1. Examine Hofstedes model of national culture. Are all four dime
1. Examine Hofstedes model of national culture. Are all four dime1. Examine Hofstedes model of national culture. Are all four dime
1. Examine Hofstedes model of national culture. Are all four dime
MartineMccracken314
 

More from MartineMccracken314 (20)

1. Jack is the principal.  Mary is Jacks agent.  Mary enters into
1. Jack is the principal.  Mary is Jacks agent.  Mary enters into1. Jack is the principal.  Mary is Jacks agent.  Mary enters into
1. Jack is the principal.  Mary is Jacks agent.  Mary enters into
 
1. IntroversionScore 11 pts.4 - 22 pts.Feedback Some peop
1. IntroversionScore  11 pts.4 - 22 pts.Feedback Some peop1. IntroversionScore  11 pts.4 - 22 pts.Feedback Some peop
1. IntroversionScore 11 pts.4 - 22 pts.Feedback Some peop
 
1. International financial investors are moving funds from Talona
1. International financial investors are moving funds from Talona 1. International financial investors are moving funds from Talona
1. International financial investors are moving funds from Talona
 
1. Interventionstreatment· The viral pinkeye does not need any
1. Interventionstreatment· The viral pinkeye does not need any 1. Interventionstreatment· The viral pinkeye does not need any
1. Interventionstreatment· The viral pinkeye does not need any
 
1. Introduction and background information about solvatochromism u
1. Introduction and background information about solvatochromism u1. Introduction and background information about solvatochromism u
1. Introduction and background information about solvatochromism u
 
1. Integrity, the basic principle of healthcare leadership.Conta
1. Integrity, the basic principle of healthcare leadership.Conta1. Integrity, the basic principle of healthcare leadership.Conta
1. Integrity, the basic principle of healthcare leadership.Conta
 
1. Information organized and placed in a logical sequence (10 po
1. Information organized and placed in a logical sequence (10 po1. Information organized and placed in a logical sequence (10 po
1. Information organized and placed in a logical sequence (10 po
 
1. In our grant application, we included the following interventio
1. In our grant application, we included the following interventio1. In our grant application, we included the following interventio
1. In our grant application, we included the following interventio
 
1. I believe that the protagonist is Nel because she is the one th
1. I believe that the protagonist is Nel because she is the one th1. I believe that the protagonist is Nel because she is the one th
1. I believe that the protagonist is Nel because she is the one th
 
1. If the profit from the sale of x units of a product is P =
1. If the profit from the sale of x units of a product is P = 1. If the profit from the sale of x units of a product is P =
1. If the profit from the sale of x units of a product is P =
 
1. How does CO2 and other greenhouse gases promote global warmin
1. How does CO2 and other greenhouse gases promote global warmin1. How does CO2 and other greenhouse gases promote global warmin
1. How does CO2 and other greenhouse gases promote global warmin
 
1. How do you think communication and the role of training address
1. How do you think communication and the role of training address1. How do you think communication and the role of training address
1. How do you think communication and the role of training address
 
1. How brain meets its requirement for its energy in terms of well
1. How brain meets its requirement for its energy in terms of well1. How brain meets its requirement for its energy in terms of well
1. How brain meets its requirement for its energy in terms of well
 
1. Give an introduction to contemporary Chinese art (Talk a little
1. Give an introduction to contemporary Chinese art (Talk a little1. Give an introduction to contemporary Chinese art (Talk a little
1. Give an introduction to contemporary Chinese art (Talk a little
 
1. For this reaction essay is a brief written reaction to the read
1. For this reaction essay is a brief written reaction to the read1. For this reaction essay is a brief written reaction to the read
1. For this reaction essay is a brief written reaction to the read
 
1. Find something to negotiate in your personal or professional li
1. Find something to negotiate in your personal or professional li1. Find something to negotiate in your personal or professional li
1. Find something to negotiate in your personal or professional li
 
1. FAMILYMy 57 year old mother died after a short illness
1. FAMILYMy 57 year old mother died after a short illness 1. FAMILYMy 57 year old mother died after a short illness
1. FAMILYMy 57 year old mother died after a short illness
 
1. Explain the four characteristics of B-DNA structure Differenti
1. Explain the four characteristics of B-DNA structure Differenti1. Explain the four characteristics of B-DNA structure Differenti
1. Explain the four characteristics of B-DNA structure Differenti
 
1. examine three of the upstream impacts of mining. Which of these
1. examine three of the upstream impacts of mining. Which of these1. examine three of the upstream impacts of mining. Which of these
1. examine three of the upstream impacts of mining. Which of these
 
1. Examine Hofstedes model of national culture. Are all four dime
1. Examine Hofstedes model of national culture. Are all four dime1. Examine Hofstedes model of national culture. Are all four dime
1. Examine Hofstedes model of national culture. Are all four dime
 

Recently uploaded

Call Girls in Uttam Nagar (delhi) call me [🔝9953056974🔝] escort service 24X7
Call Girls in  Uttam Nagar (delhi) call me [🔝9953056974🔝] escort service 24X7Call Girls in  Uttam Nagar (delhi) call me [🔝9953056974🔝] escort service 24X7
Call Girls in Uttam Nagar (delhi) call me [🔝9953056974🔝] escort service 24X7
9953056974 Low Rate Call Girls In Saket, Delhi NCR
 

Recently uploaded (20)

Tatlong Kwento ni Lola basyang-1.pdf arts
Tatlong Kwento ni Lola basyang-1.pdf artsTatlong Kwento ni Lola basyang-1.pdf arts
Tatlong Kwento ni Lola basyang-1.pdf arts
 
How to Manage Call for Tendor in Odoo 17
How to Manage Call for Tendor in Odoo 17How to Manage Call for Tendor in Odoo 17
How to Manage Call for Tendor in Odoo 17
 
Call Girls in Uttam Nagar (delhi) call me [🔝9953056974🔝] escort service 24X7
Call Girls in  Uttam Nagar (delhi) call me [🔝9953056974🔝] escort service 24X7Call Girls in  Uttam Nagar (delhi) call me [🔝9953056974🔝] escort service 24X7
Call Girls in Uttam Nagar (delhi) call me [🔝9953056974🔝] escort service 24X7
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsOSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & Systems
 
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
NO1 Top Black Magic Specialist In Lahore Black magic In Pakistan Kala Ilam Ex...
 
Graduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - EnglishGraduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - English
 
Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111
 
How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
latest AZ-104 Exam Questions and Answers
latest AZ-104 Exam Questions and Answerslatest AZ-104 Exam Questions and Answers
latest AZ-104 Exam Questions and Answers
 
Simple, Complex, and Compound Sentences Exercises.pdf
Simple, Complex, and Compound Sentences Exercises.pdfSimple, Complex, and Compound Sentences Exercises.pdf
Simple, Complex, and Compound Sentences Exercises.pdf
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
REMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptxREMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptx
 
Single or Multiple melodic lines structure
Single or Multiple melodic lines structureSingle or Multiple melodic lines structure
Single or Multiple melodic lines structure
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
Wellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptxWellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptx
 
Philosophy of china and it's charactistics
Philosophy of china and it's charactisticsPhilosophy of china and it's charactistics
Philosophy of china and it's charactistics
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 

1. Describe a Time Spirituality was Important in your Life or that

  • 1. 1. Describe a Time Spirituality was Important in your Life or that of Someone You Love or Cared for (E.G., Family Member, Friend, Patient). Why was it Meaningful in that Situation? Life has its dull and challenging moment that stretches humanity to take a step back and take a personal reflection driving one to a mindful, spiritual sensation. Spirituality gives people a feeling of hope, calmness, compassion, and gratitude. Spirituality can be achieved through prayer and meditation, among other culturally acceptable traditions (De Blot, 2011). In life, I have come across moments when my spiritualty was challenged, that of family and close friends and family. Back in 2017, my uncle was driving back from work late at night, but he was involved in a greasy road accident. The accident was fatal as he was taken to the hospital unconscious, and he remained in a coma state for over two weeks. I come from a tight family where we keep close relations with my grandparents, aunts, and uncles. We have dinners and famil y gatherings, often with all present. My uncle's accident was a challenge to everyone, especially to his young family of two. As he lay in the hospital unconscious, our family comes together in prayer every Sunday afternoon in my auntie's house. We all wanted him to recover and go home someday. In silence and gathering, we turned to God in worship and prayers seeking hope and healing over my uncle. I consider this a time when our family spirituality was tested, but we never gave up, because we are a strong Christian family that believes in God's love, grace, and protection. We also believe that through prayer and a strong belief in God, my uncle recovered and went home. 2. What would you do if a Patient Asked You to Pray with them or Read the Bible or another Holy Book He/She Might Have at the Bedside? According to De Blot (2011), spirituality and religion are two different things, but they both thrive on the existence of each.
  • 2. Unlike religion, spirituality is a personal affair that does not relies on groups of people's beliefs to thrive. As a spiritual’s person, I would be willing to read any scripture with a patient despite the difference in religions. I would never feel offended and show any kind of resistance because spirituality a sacred path that people seek purpose and meaning of self, others, and nature. If reading the scripture together with a Muslim patient gives them hope, which attributes to a quick recovery, then I will oblige. 3. There is Something Called Scripting, which is having Something Written and Memorized for Difficult Situations. Write a Prayer or Spiritual Message You Could Use in the in the above Situation. Explain why you chose those words. "Dear God, thank you for a new day and breathe of life. As we cruise through the day, grant me a favor, safety, good health, and abundance of your love and blessing. Allow positivity and wisdom to follow through the day and protect my family and me from any form of evil. Grant healing to those in need and restore hope to those in defeat. In Jesus' name, Amen." Life brings us a bounty of good, bad, so we all need peace, hope, and God. We need a higher power of guidance to overcome harsh destinies, remain at peace, and make reasonable judgments (Luhrmann & Morgain, 2012). All we need at the end of the day is to count our blessing in joy and calmness. My scripted prayer above helps attract the higher power in my daily doings, invoking the spirit of healing, happiness, and bounty, and introducing calmness in my everyday life. I begin my prayers by showing gratitude for what I have then sought God's favor in a new day. We all live in fear of bad things, so I seek the higher power to provide and give safety. The prayer keeps me hopeful for a good day. References De Blot, P. (2011). Religion and spirituality. In Handbook of spirituality and business (pp. 11-17). Palgrave Macmillan,
  • 3. London. https://link.springer.com/chapter/10.1057%2F9780230321458_2 Luhrmann, T. M., & Morgain, R. (2012). Prayer as inner sense cultivation: An attentional learning theory of spiritual experience. Ethos, 40(4), 359-389. https://www.researchgate.net/publication/260139832_Prayer_as _Inner_Sense_Cultivation_An_Attentional_Learning_Theory_of _Spiritual_Experience Homework 2 Due: before 12:00 pm (noon) on Tuesday, March 30. Please do not include your name on your write-up, since these documents will be reviewed by anonymous peer graders. For probability derivations, show your work and/or explain your reasoning. Do not include your raw R code in your write-up unless we explicitly ask for it. You will submit your R script as a separate document to the write-up itself. On Canvas, you will see two assignments pages corresponding to Homework 2: (1) to upload your write-up PDF file and (2) to upload the R script that you used to generate your write-up. Your write-up is what will be peer graded. The R script will not be graded, but you must submit it to receive credit on the write-up. If you use tables or figures, make sure they are formatted professionally. Figures and tables should have informative captions. Numbers should be rounded to a sensible number of digits (you’re at UT and therefore a smart cookie; use your judgment for what’s sensible depending on the level of precision that is appropriate for the problem context).
  • 4. Problem 1 - NHANES The American National Health and Nutrition Examination Surveys (NHANES) are collected by the US National Center for Health Statistics, which has conducted a series of health and nutrition surveys since the early 1960s. Since 1999, approximately 5,000 individuals of all ages are interviewed each year. For this problem you will need to install the NHANES package in RStudio with a built-in data frame called NHANES. library(NHANES) library(mosaic) data(NHANES) Part A: Create a histogram for the distribution of SleepHrsNight for individuals aged 18-22 (inclusive) via the bootstrap. Use at least 10000 iterations. Include the plot and report the mean sleep hours for this age group. Optional: how does your sleep compare? Part B: Now we want to build a confidence interval for the proportion of women we think are pregnant at any given time. Bootstrap a confidence interval with 10000 iterations. Include in your write-up a histogram of your simulation results, along with a 95% confidence interval for the proportion. To speed things up, you can use this code to subset the NHANES data frame to one with only women. Let’s get rid of the N/A values for our variable of interest (PregnantNow) in our filtered data frame: NHANES_women <- NHANES %>% filter(Gender=="female", !is.na(PregnantNow)
  • 5. ) Problem 2 - Iron Bank The Securities and Exchange Commission (SEC) is investigating the Iron Bank, where a cluster of employees have recently been identified in various suspicious patterns of securities trading. Of the last 2021 trades, 70 were flagged by the SEC’s detection algorithm. Trades are flagged periodically even when no illicit market activity has taken place. For that reason, the SEC often monitors individual and institutional trading but does not investigate detected incidents that may be consistent with random variability in trading patterns. SEC data suggest that the overall baseline rate of suspicious securities trades is 2.4%. Are the observed data (70 flagged trades out of 2021) consistent with the SEC’s null hypothesis that, over the long run, securities trades from the Iron Bank are flagged at the same baseline rate as that of other traders? Use Monte Carlo simulation (with at least 100000 simulations) to calculate a p-value under this null hypothesis. Include the following items in your write-up: 1 • the null hypothesis that your are testing; • the test statistic you used to measure evidence against the null hypothesis; • a plot of the probability distribution of the test statistic,
  • 6. assuming that the null hypothesis is true; • the p-value itself; • and a one-sentence conclusion about the extent to which you think the null hypothesis looks plausible in light of the data. This one is open to interpretation! Make sure to defend your conclusion. Problem 3 - Armfold A professor at an Australian university ran the following experiment with her students in a data science class. Everyone in the class stood up, and the professor asked everyone to fold their arms across their chest. Students then filled out an online survey with two pieces of information: 1) Did they fold their arms with the left arm on top of right, or with the right arm on top of the left? 2) Did they identify as male or female? The professor then asked her students to assess whether, in light of the data from the survey, there was support for the idea that males and females differed in how often they folded their arms with their left arm on top of the right. The survey data indicated that males folded their arms with their left arms on top more frequently. But how much more frequently? And was this just a “small- sample” difference? Or did it accurately reflect a population-level trend? The data from this experiment are in armfold.csv. There are two relevant variables: • LonR_fold: a binary (0/1) indicator, where 1 indicates left arm on top, and 0 indicates right arm on top. • Sex: a categorical variable with levels male and female. (There’s also a third variable indicating which hand the student
  • 7. writes with, but we’re not using that here.) Your task (quite similar to what we did with the recidivism R walkthrough) is to assess support for any male/female differences in the population-wide rate of “left arm on top” folding. Make sure to quantify your uncertainty about how much more often males fold their left arms on top. (That is, it’s not enough to just report the estimate for this sample; you have to provide a confidence interval that tells us how we can expect this number to generalize to the wider population. In doing so, you can treat this sample as if it were a random sample from the relevant population, in this case university students.) Your write-up should include four sections: 1) Question: What question are you trying to answer? 2) Approach: What modeling approach did you use to answer the question? 3) Results: What evidence/results did your modeling approach provide to answer the question? This might include numbers, figures, and/or tables as appropriate depending on your approach. 4) Conclusion: What is your conclusion about your question? You will want to provide a short written interpretation of your confidence interval. Note: for a relatively simple problem like this, each of these four sections will likely be quite short. Nonetheless, these sections reflect a good general organization for a data- science write-up. So we’ll start practicing with this organization on a simple problem, even if it seems a bit overkill at first. (It is certainly possibly in this case for each of them to be only 1 or 2 sentences long. Although
  • 8. you might feel you need more, and although nobody on our end is breaking out a word counter, it shouldn’t be too much longer than that.) Problem 4 - Ebay In this problem, you’ll analyze data from an experiment run by EBay in order to assess whether the company’s paid advertising on Google’s search platform was improving EBay’s revenue. (It was certainly improving Google’s revenue!) Google Ads, also known as Google AdWords, is Google’s advertising search system, and it’s the primary way the company made its $162 billion in revenue in fiscal year 2019. The AdWords system has advertisers bid on certain keywords (e.g., “iPhone” or “toddler shoes”) in order for their clickable ads to appear at the top of 2 the page in Google’s search results. These links are marked as an “Ad” by Google, and they’re distinct from the so-called “organic” search results that appear lower down the page. Nobody pays for the organic search results; pages get featured here if Google’s algorithms determine that they’re among the most relevant pages for a given search query. But if a customer clicks on one of the sponsored “Ad” search results, Google makes money. Suppose, for example, that EBay bids $0.10 on the term “vintage dining table” and wins the bid for that term. If a Google user searches for “vintage dining table” and ends up clicking on the EBay link from the page of
  • 9. search results, EBay pays Google $0.10 (the amount of their bid). 1 For a small company, there’s often little choice but to bid on relevant Google search terms; otherwise their search results would be buried. But a big site like EBay doesn’t necessarily have to pay in order for their search results to show up prominently on Google. They always have the option of “going organic,” i.e. not bidding on any search terms and hoping that their links nonetheless are shown high enough up in the organic search results to garner a lot of clicks from Google users. So the question for a business like EBay is, roughly, the following: does the extra traffic brought to our site from paid search results—above and beyond what we’d see if we “went organic”—justify the cost of the ads themselves? To try to answer this question, EBay ran an experiment in May of 2013. For one month, they turned off paid search in a random subset of 70 of the 210 designated market areas (DMAs) in the United States. A designated market area, according to Wikipedia, is “a region where the population can receive the same or similar television and radio station offerings, and may also include other types of media including newspapers and Internet content.” Google allows advertisers to bid on search terms at the DMA level, and it infers the DMA of a visitor on the basis of that visitor’s browser cookies and IP address. Examples of DMAs include “New York,” “Miami-Ft. Lauderdale,” and “Beaumont-Port Arthur.” In the experiment, EBay randomly assigned each of the 210 DMAs to one of two groups: • the treatment group, where advertising on Google AdWords for the whole DMA was paused for a month, starting on May 22.
  • 10. • the control group, where advertising on Google AdWords continued as before. In ebay.csv you have the results of the experiment. The columns in this data set are: • DMA: the name of the designated market area, e.g. New York • rank: the rank of that DMA by population • tv_homes: the number of homes in that DMA with a television, as measured by the market research firm Nielsen (who defined the DMAs in the first place) • adwords_pause: a 0/1 indicator, where 1 means that DMA was in the treatment group, and 0 means that DMA was in the control group. • rev_before: EBay’s revenue in dollars from that DMA in the 30 days before May 22, before the experiment started. • rev_after: EBay’s revenue in dollars from that DMA in the 30 days beginning on May 22, after the experiment started. The outcome of interest is the revenue ratio at the DMA level, i.e. the ratio of revenue after to revenue before for each DMA. If EBay’s paid search advertising on Google was driving extra revenue, we would expect this revenue ratio to be systematically lower in the treatment- group DMAs versus the control-group DMAs. On the other hand, if paid search advertising were a waste of money, then we’d expect the revenue ratio to be basically equal in the control and treatment groups.
  • 11. 1There’s huge variability in the market price of different search terms. The market price per click for a search term like "insurance" or "attorney" or "MBA programs" might be $50 or more. For stuff you might buy on EBay, it’s usually a lot less. 3 https://en.wikipedia.org/wiki/HTTP_cookie Two explanatory notes here: • We use the ratio rather than the absolute difference because the DMAs differ enormously in population and therefore revenue. • We wouldn’t necessarily expect the before-and-after revenue ratio to be 1 (i.e. similar revenue before and after the experiment), even in the control-group DMAs. That’s because, like any retailer, EBay’s sales exhibit a lot of seasonal patterns and might be lower in some months across the board, regardless of paid search. That’s why the important question isn’t whether the revenue is the same before and after in the treatment-group DMAs, but whether the before-and-after ratio is the same for the treatment group as for the control group. Your task is compute the average treatment effect and provide a confidence interval via bootstrapping to assess the evidence for whether the revenue ratio is the same in the treatment and control groups, or whether instead the data favors the idea that paid search advertising on Google creates extra revenue for EBay. Make sure you use at least 10000 Monte Carlo simulations in your bootstrap simulation.
  • 12. Your write-up should include the sections: 1) Question; 2) Approach; 3) Results; 4) Conclusion as outlined in Problem 4. Problem 5 - Creatinine Download the data in creatinine.csv. Each row represents one of 150 patients from a particular nephrolo- gist’s office. The variables in this data frame are: • age: patient’s age in years. • creatclear: patient’s creatinine clearance rate in mL/minute, a measure of kidney health (a higher rate means better clearance, i.e., more healthy). Use these data to answer three questions: A) What creatinine clearance rate should we expect for a 36- year-old? Explain briefly (using one or two sentences and equations) how you determined this estimate. B) How does creatinine clearance rate change with age? (This should be a single number whose units are ml/minute per year.) Explain briefly (one or two sentences) how you determined this. C) Who has a creatinine clearance rate that is healthier (higher) for their age: a 45-year-old with a rate of 130, or a 60-year-old with a rate of 120? Explain briefly (using a few sentences and showing your work with equations) how you determined this. Problem 6 - Orbital Scanner If a Resistance ship enters the atmosphere on the desolate rock planet of Exegol, the probability that the Imperial fleet’s orbital scanner will correctly register its
  • 13. presence is 95%. If there is, in fact, no Resistance ship on Exegol, the scanner will falsely register the presence of a ship with probability 5%. Historical data indicate that there is a 15% probability at any given time that a Resistance ship is on Exegol. Imagine that you are among the Imperial Guard assigned to the Sith Citadel. Today, the orbital scanner registers the presence of a Resistance ship. What is the probability that a Resistance ship is, in fact, on Exegol? Prepare a short report with this calculation. Don’t forget to show your work. Problem 7 - Big Mac Index From The Economist: "The Big Mac index was invented by The Economist in 1986 as a lighthearted measure of the extent to which currencies are at their ‘correct’ level. It is based on the theory of purchasing-power parity (PPP), the idea that long-run exchange rates should move towards the rate that equalises the prices of an identical basket of goods and services (e.g., a burger) in any two countries. 4 Burgernomics was never intended as a precise guide of currency misalignment but rather a tool to make exchange-rate theory more digestible. Yet the Big Mac index is now a global standard appearing in economic textbooks and used in academic studies." Download bigmac.csv to access a data frame with the following variables:
  • 14. • date: Date of observation • iso_a3: Three-character ISO 3166-1 country code • currency_code: Three-character ISO 4217 currency code • name: Country name • local_price: Price of a Big Mac in the local currency • dollar_ex: Local currency units per dollar • GDP_dollar: GDP per person, in dollars Let’s use this dataset to construct and analyze a simpler version of the Big Mac Index. Preprocessing For each observation, create a new variable for the price of a Big Mac in US Dollars (USD), dividing the local price by the local currency units per dollar. Before you do that, however, it’s good practice to account for any ‘gotchas’ that could happen when dividing—make sure that the local currency units per dollar are all positive, non-zero values. library(tidyverse) bigmac <- read.csv("bigmac.csv") bigmac <- bigmac %>% filter(dollar_ex > 0) %>% mutate(price_usd = local_price/dollar_ex) For convenience, let’s also add another variable for the year of the observation date. To do this, use the function lubridate::year() on the date variable like so: bigmac <- bigmac %>% mutate(year = lubridate::year(date)) Because each year can possibly have multiple observations per country, average the USD price across each country and year to avoid possible duplicates. You should use the dataset you make here for the subsequent
  • 15. problems. Any references to price refer to the average calculated in this step. avg_bigmac <- bigmac %>% group_by(name, year) %>% summarise(avg_usd = mean(price_usd, na.rm=TRUE)) Part A: Use boxplots to visualize how the distribution of price differs by year. Remember the factor() function for treating numeric variables as categorical. Based on your plot, what can you say about the price of a Big Mac over time? In your write-up, include an informative caption (a few sentences or a short paragraph) below the plot that identifies the variables and units plotted on the chart and also summarizes main takeaways from the plot. Be sure to comment on measures of both center and spread, as well the presence of outliers. Part B: What country had the most expensive Big Mac (in US Dollars) and how much was it? In what year was it most expensive? Part C: Now calculate the actual big mac index for 2021. This is the percentage difference of the price of a Big Mac in a given locale relative to the price of a Big Mac in the United States. I stored my US Big Mac price in a variable for easy reference later (the pull() command returns just numbers, no fancy dataframe stuff): us_price <- avg_bigmac %>% filter(year==2021, name=="United States") %>% pull(avg_usd) Take the top 20 values of the index and plot them, sorted
  • 16. ascending or descending. Useful functions here are top_n or slice_max() (see documentation for examples of usage). You may also want to use reorder() where you can pass to your axis aesthetic the label and var iable to sort on. For example, if I wanted the 5 country as one of my plot variables, I could use reorder(country, big_mac_index) in place of just country to sort them by the values of my Big Mac index variable. If you are having trouble with slice_max() try piping your dataframe to ungroup() then piping it to slice_max(). Part D: Address the following questions with a few sentences (no more than a short paragraph) in your write-up: - Which country’s currency is most overvalued relative to the United States? By how much? - Are there more overvalued or undervalued currencies, relative to the US? - What problems might you foresee with the index as we’ve currently calculated it? 6 Homework 2Problem 1 - NHANESProblem 2 - Iron BankProblem 3 - ArmfoldProblem 4 - EbayProblem 5 - CreatinineProblem 6 - Orbital ScannerProblem 7 - Big Mac IndexPreprocessing