Questions and Answers of Business Statistics Communicating

Perform agglomerative clustering on the accompanying data set, using all 11 binary variables. Use Jaccard’s coefficients for the similarity measure and average linkage for the clustering method.
Perform agglomerative clustering on the accompanying data set, using all 11 binary variables. Use Jaccard’s coefficients for the similarity measure and complete linkage for the clustering method to
Perform agglomerative clustering on the accompanying data consisting of both numerical and categorical variables. Use Gower’s coefficient for the distance between observations and Ward’s
A local pizza store wants to get a better sense of who its customers are. The accompanying table shows a portion of data that it collected on 30 randomly selected customers. Variables include age,
Refer to the previous exercise for a description of the data set. a. Perform agglomerative clustering on the accompanying data consisting of both numerical and categorical variables. Use
Refer to the previous exercise for a description of the data set. a. Perform agglomerative hierarchical clustering to group the 38 countries according to their population measures (i.e.,
The accompanying data set contains country-level health and population measures for 38 countries from the World Bank’s 2000 Health Nutrition and Population Statistics database. For each country,
Internet addiction has been found to be a widespread problem among university students. A small liberal arts college in Colorado conducted a survey of Internet addiction among its students using the
Denise Lau is an avid football fan and religiously follows every college football game. During the current season, she meticulously keeps a record of how each quarterback has played throughout the
Anne Cutberth has just started her new job as an academic adviser at a small liberal arts college in Colorado. She is going through a list of students in an academic department and wants to gain a
Peter Lara, an aspiring college student, met with his high school college advisor to discuss potential colleges to which he might apply. He was advised to consult with the College Scorecard
The accompanying table lists a portion of Major League Baseball’s pitchers, their earned run average (ERA), and their salary (in millions of $). a. Perform agglomerative clustering to group
The accompanying table shows a portion of data consisting of the January, April, July, and October average temperatures of 50 selected U.S. cities. a. Perform agglomerative hierarchical
Sanjay Johnson is working on a research paper that studies the relationship between the education level and the median income of a community. The accompanying table shows a portion of the data that
Internet addiction has been found to be a widespread problem among university students. A small liberal arts college in Colorado conducted a survey of Internet addiction among its students using the
The accompanying table contains a portion of data from the National Longitudinal Survey (NLS), which follows over 12,000 individuals in the United States over time. Variables in this analysis include
Perform k-means clustering on the accompanying data set. a. Use all variables in the analysis. Do not standardize the variables. Set the number of clusters to 3. What are the size and average
Perform k-means clustering on both variables in the accompanying data set. Standardize the variables. Experiment with the k values of 2, 3, and 4. Compare the number of observations and distance
Perform k-means clustering on the accompanying data set. a. Use variables x1, x2, and x3 in the analysis. Standardize the data. Specify the k value as 2. What are the cluster center values for
Perform k-means clustering on the accompanying data set. Use variables x1, x3, and x5 in the analysis. Do not standardize the variables. a. Set the number of clusters to 3. What are the size and
Perform k-means clustering on the accompanying data set. Use variables x4, x5, x6, and x7, standardized to z-scores, in the analysis. a. Specify the k value as 2 and plot the cluster membership
Perform k-means clustering on the accompanying data set. a. Use variables x1, x3, and x5 in the analysis. Do not standardize the variables. Set the number of clusters to 4. What are the size and
Perform k-means clustering on all the variables in the accompanying data set. a. Standardize the data. Specify the k value as 2 and plot the cluster membership using the cluster and silhouette
British biologist Ronald Fisher studied iris flowers and classified them according to the width and length of the flower’s petals and sepals (a small, green leafy part below the petal). The
Sanjay Johnson is working on a research paper that studies the relationship between the education level and the median income of a community. The accompanying table shows a portion of the data that
Refer to the previous exercise for a description of the data set. a. Perform k-means clustering to group the 38 countries into four clusters according to their population measures (i.e.,
The accompanying data set contains country-level health and population measures for 38 countries from the World Bank’s 2000 Health Nutrition and Population Statistics database. For each country,
Ben Derby is a highly paid scout for a professional baseball team. He attends at least five or six Major League Baseball games a week and watches as many recorded games as he can in order to evaluate
Jennifer Gomez is moving to a small town in Napa Valley, California, and has been house hunting for her new home. Her Realtor has given her a list of 35 homes with at least 2 bedrooms that were
Denise Lau is an avid football fan and religiously follows every college football game. During the current season, she meticulously keeps a record of how each quarterback has played throughout the
The accompanying data set contains the nutrition facts on 30 common food items; a portion of the data is shown. The values are based on 100 grams of the food items. Perform k-means clustering using k
Jake Duffy is the e-commerce manager of a major electronics retailer. He is researching his company’s e-commerce competitors and wants to group the competitors based on their performance data. He
The accompanying data set contains economic development indicators for 11 African countries collected by the World Bank in 2015. The economic development indicators include annual % growth in
The accompanying data set contains the school level average SAT critical reading (CR), math (M), and writing (W) scores for the graduating seniors from 100 high schools in New York City. The data set
A country’s information technology use has been linked to economic and societal development. A non-profit organization collects data that measure the use and impact of information technology in
A telecommunications company wants to identify customers who are likely to unsubscribe to the telephone service. The company collects the following information from 100 customers: customer ID (ID),
Consider the following portion of data consisting of 25 transactionsa. Generate association rules with a minimum support of 10 transactions and minimum confidence of 75%. Sort the rules by lift
The data are the same as in the previous exercise. Read the data file using the readtransactions function and perform the following tasks. a. Produce an item frequency plot and frequency table.
Consider the following portion of data consisting of 100 transactions.a. Generate association rules with minimum support of 10 transactions and minimum confidence of 50%. How many rules are
The data are the same as in the previous exercise. Perform association rule analysis using the following settings. a. Generate association rules with a minimum support of 10 transactions and
Consider the following portion of data consisting of 40 transactions. Read the data file into R using the readtransactions function and perform the following tasks. a. Produce an item frequency
The data are the same as in the preceding exercise. Read the data file into R using the readtransactions function and perform the following tasks. a. Produce an item frequency plot and a
Use Excel’s Analysis ToolPak or R, both with a seed of 1, to simulate 120 random observations of a continuous uniform random variable over the interval [10, 75]. What are the mean, the standard
Use Excel’s Analysis ToolPak or R, both with a seed of 1, to simulate 25 random observations based on a binomial distribution with five trials and p = 0.2. What are the mean and standard deviation
An online music streaming service wants to find out which popular Beatles songs are frequently downloaded together by its users. The service collects the download logs for 100 users over the past
A local grocery store keeps track of individual products that customers purchase. Natalie Jackson, the manager in charge of the fresh fruits and produce section, wants to learn more about the
An online movie streaming company conducts a consumer study to find out the movie genres that its customers watch. Eighty-eight households volunteered to participate in the study and allow the
Use the movie data set from the previous exercise and R to perform association rule analysis. Make sure to read the data file using the readtransactions function first.a. Explore the data using an
The data are the same as in the previous exercise. Perform association rule analysis using the following settings. a. Generate association rules with a minimum support of 10 transactions and
Consider the following portion of data consisting of 41 transactions. Read the data file using the readtransactions function and perform the following tasks.a. Produce an item frequency plot and
Use the online music data set from the previous exercise to perform association rule analysis. Make sure to read the data file into R using the readtransactions function first. a. Explore the
Allen Chu is a firstyear medical student. He is interested in finding out which symptoms of medical conditions tend to appear together in his research. He compiles a data set for 36 patients where
Assistant police chief Todd Beck wants to analyze the city’s historic crime data in order to better allocate police resources in the future. He collects data over the past two years. Each record in
Demand for organic food has grown steadily over the years. Organic strawberry farming is one of the segments in the food and agriculture industry that is projected to continue expanding in the
Use Excel’s Analysis ToolPak or R, both with a seed of 1, to simulate 50 random observations based on a continuous uniform distribution over the interval [23, 37]. What is the range of simulated
Use Excel’s Analysis ToolPak or R, both with a seed of 1, to simulate 200 random observations based on a Poisson distribution with λ = 2. What are the mean and standard deviation of the 200
Use Excel’s Analysis ToolPak or R, both with a seed of 1, to simulate 1,000 random observations of a normally distributed random variable with μ = 9.23 and σ = 0.87. Report the mean and standard
A manager at a local grocery store learns that 75% of her customers will use a credit card when making a purchase. Use Excel’s Analysis ToolPak or R, both with a seed of 1, to simulate a sample of
On a given day, about 85% of Internet users in the U.S. visit a social media site. Use Analysis ToolPak or R, both with a seed of 1, to generate 100 simulations of a sample of 10 Internet users and
At a highly selective 4-year college, only 25% of transfer students go on to graduate on time. Use Analysis ToolPak or R, both with a seed of 1, to generate 400 simulations where each simulation
A local grocery store observes that on average 4 customers enter the store every 5 minutes during the hour between 5:30 pm and 6:30 pm each day. Use Analysis ToolPak or R, both with a seed of 1, to
Adrian Brown is a researcher studying social media usage patterns. In his research, he noticed that people tend to use multiple social media applications, and he wants to find out which popular
Use the crime data from the previous exercise to perform association rule analysis. Make sure to read the data file using the readtransactions function first. a. Explore the data using an item
Beau Crew is the branch manager of a major bank. He is interested in understanding which types of accounts a customer tends to have simultaneously so that he can offer additional financial services
The accompanying data file lists quarterly data on median house prices in the West Census region. For cross-validation, let the training and the validation sets comprise the periods from 2010:01 to
The accompanying data file lists monthly data on vehicle miles traveled in the U.S. (in millions). For cross-validation, let the training and the validation sets comprise the periods from Jan-12 to
The accompanying data file contains monthly data on housing starts (in 1,000s) in the U.S. For cross-validation, let the training and the validation sets comprise the period from Jan-11 to Dec-16 and
Claire Williams is an intern working for the city government of New York City (NYC). She is given an assignment to find out which types of business are most likely to open in which area of NYC. She
Use the bank account data set from the previous exercise to perform association rule analysis. Make sure to read the data file into R using the readtransactions function first. a. Explore the
The owner of a convenience store near Salt Lake City in Utah has been tabulating weekly sales at the store, excluding gas. The accompanying table shows a portion of the sales for 30 weeks. a.
Leading economic indicators, such as the stock market or the housing market, often change prior to large economic adjustments. For example, a rise in stock prices often means that investors are more
Spotify is a music streaming platform that gives access to songs from artists all over the world. On February 28, 2018, Spotify filed for an initial public offering (IPO) on the New York Stock
Food trucks have become a common sight on American campuses. They serve scores of hungry students strolling through campus and looking for trendy food served fast. The owner of a food truck collects
Consider the exchange rate of the $ (USD) with € (Euro) and $ (USD) with £ (Pound). The accompanying table shows a portion of the exchange rates from January 2017 to January 2019. a. Find the
The manager of a trendy downtown café in Columbus, Ohio, collects weekly data on the number of customers it serves. A portion of the data is shown in the accompanying table. a. Use the simple
It is difficult to predict gas prices given a multitude of factors affecting them. Consider 22 weeks of the average weekly regular gasoline price ($ per gallon) in New England and the West
Morgan Bank has been encouraging its customers to use its new mobile banking app. While this may be good for business, the bank has to deal with a number of inquiries it receives about the new app.
Apple Inc. has performed extremely well in the last decade. After its stock price dropped to below 90 in May 2016, it made a tremendous comeback to reach about 146 by May 2017 (SeekingAlpha.com, May
In Colorado, sales of medical marijuana began in November 2012; however, the Department of Revenue did not report tax collection data until February of 2014. The accompanying table shows a portion of
Lowe’s Companies, Inc., is a home improvement company offering a range of products for maintenance, repair, remodeling, and decorating. During the recovery phase since the financial crisis of
Vacation destinations often run on a seasonal basis, depending on the primary activities in that location. Amanda Wang is the owner of a travel agency in Cincinnati, Ohio. She has built a database of
The following table lists a portion of the University of Michigan’s Consumer Sentiment index. This index is normalized to have a value of 100 in 1966 and is used to record changes in consumer
Used car dealerships generally have sales quotas that they strive to hit each month, quarter, and calendar year. Consequently, buying a used car toward the end of those periods presents a great
In 2016, demographers reported that deaths outnumbered births among white Americans in more than half the states in the U.S. (The New York Times, June 20, 2018). Consider the white American
According to U.S. News and World Report, a statistician was the best business profession in 2019 with 12,600 projected jobs and a median salary of $84,060. A mathematician was the second-best
According to Forbes, Michael Trout of the Los Angeles Angels, with earnings of $39 million, was the highest-paid player in baseball in 2019. Bryce Harper of the Philadelphia Phillies ranked second at
The following three students were honored at a local high school for securing admissions to prestigious universities. a. Organize the data into a fixed-width format (10 characters for Name and
For several years, Japan’s declining population has led experts and lawmakers to consider its economic and social repercussions (NPR, December 21, 2018). Consider the population data, in millions,
Treasury securities are bonds issued by the U.S. government. Consider a portion of quarterly data on treasury securities, measured in millions of U.S. dollars. Estimate the exponential trend
The S&P’s Case-Shiller home price index measures repeat-sales house price indices for the United States. The index, normalized to have a value of 100 in January 2000, captures price movements
Housing starts are the number of new residential construction projects that have begun during any given month. It is considered to be a leading indicator of economic strength. The following table
The West Census region for the U.S. includes Montana, Wyoming, Colorado, New Mexico, Idaho, Utah, Arizona, Nevada, California, Oregon, and Washington. Consider the median house prices in the West
The United States economy picked up speed in 2012 as businesses substantially built up their inventories and consumers increased their spending. This also led to an increase in domestic travel.
The accompanying data file contains annual population data (in millions) for Japan from 1960 to 2017. For cross-validation, let the training and the validation sets comprise the periods from 1960 to
The accompanying data file contains 57 months of tax revenue from medical and retail marijuana tax and fee collections. For cross-validation, let the training and the validation sets comprise the
The accompanying data file contains daily sales (in $) at Café Venetian for 100 days. For cross-validation, let the training and the validation sets comprise the first 80 days and the last 20 days,
The accompanying data file contains 53 weeks of Apple’s stock price data. For cross-validation, let the training and the validation sets comprise the first 40 weeks and the last 13 weeks,
The accompanying data file contains quarterly data on expenses (in $1,000s) over five years. For cross-validation, let the training and the validation sets comprise the periods from 2008:01 to
The accompanying data file lists quarterly data on median house prices in the West Census region. For cross-validation, let the training and the validation sets comprise the periods from 2010:01 to
The accompanying data file lists monthly data on vehicle miles traveled in the U.S. (in millions). For cross-validation, let the training and the validation sets comprise the periods from Jan-12 to

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