Correlation and Regression

Correlation and Regression
Use the Education Resources Information Center (ERIC) (Links to an external site.) to find an
article that meets the following criteria.
Peer-reviewed.
Full text available on ERIC.
Contains the words “Correlation” or “Regression.”
Download the full-text article and write a four-paragraph (maximum) critique of the article. Follow
the guidelines in the Writing Article Critiques page.
Do you believe the results? Why or why not?
Reporting results Hint: Generally, descriptive and inferential statistics are reported to two decimal
places, i.e., t = 0.12, r = 0.12, etc. The exception is probability which is typically reported to four
decimal places, i.e., p = 0.1234.
State the reported Correlation and/or Regression Equation in two ways:
If Correlation only, calculate or report the value of the Correlation Coefficient and Coefficient of
Determination; explain what these statistics mean to the reader.
If Regression equation only, report the equation and associated units; also, calculate or report a
predicted value; explain what this value means to the reader.
State the definitions and units of measure of all of the variables reported.
Are the assumptions required to correctly use either the Correlation statistic and/or the
Regression equation reported and/or valid?
Can the reported mean of your article data variables be treated as a value from a population
having a normal distribution? Why or why not?
Your paper will automatically be evaluated through Turnitin when you submit your assignment in
this activity. Turnitin is a service that checks your work for improper citation or potential
plagiarism by comparing it against a database of web pages, student papers, and articles from
academic books and publications. Ensure that your work is entirely your own and that you have
not plagiarized any material! PLG1 in the assignment title indicates a Turnitin assignment.
This criterion is linked to a Learning OutcomeArticle Critique
Article selected for review meets the stated criteria. Article critique includes the bibliographical
details, abstract of major ideas, critical evaluation of major ideas, implications, and addresses all
required critique elements.
This criterion is linked to a Learning OutcomeWriting Skill
Sentences are clear, and wording is unambiguous. Correct word choice, correct spelling, and
correct grammar. Writing style can still be conversational rather than formal

Correlation and Regression

Correlation and Regression
Use the Education Resources Information Center (ERIC) (Links to an external site.) to find an
article that meets the following criteria.
Peer-reviewed.
Full text available on ERIC.
Contains the words “Correlation” or “Regression.”
Download the full-text article and write a four-paragraph (maximum) critique of the article. Follow
the guidelines in the Writing Article Critiques page.
Do you believe the results? Why or why not?
Reporting results Hint: Generally, descriptive and inferential statistics are reported to two decimal
places, i.e., t = 0.12, r = 0.12, etc. The exception is probability which is typically reported to four
decimal places, i.e., p = 0.1234.
State the reported Correlation and/or Regression Equation in two ways:
If Correlation only, calculate or report the value of the Correlation Coefficient and Coefficient of
Determination; explain what these statistics mean to the reader.
If Regression equation only, report the equation and associated units; also, calculate or report a
predicted value; explain what this value means to the reader.
State the definitions and units of measure of all of the variables reported.
Are the assumptions required to correctly use either the Correlation statistic and/or the
Regression equation reported and/or valid?
Can the reported mean of your article data variables be treated as a value from a population
having a normal distribution? Why or why not?
Your paper will automatically be evaluated through Turnitin when you submit your assignment in
this activity. Turnitin is a service that checks your work for improper citation or potential
plagiarism by comparing it against a database of web pages, student papers, and articles from
academic books and publications. Ensure that your work is entirely your own and that you have
not plagiarized any material! PLG1 in the assignment title indicates a Turnitin assignment.
This criterion is linked to a Learning OutcomeArticle Critique
Article selected for review meets the stated criteria. Article critique includes the bibliographical
details, abstract of major ideas, critical evaluation of major ideas, implications, and addresses all
required critique elements.
This criterion is linked to a Learning OutcomeWriting Skill
Sentences are clear, and wording is unambiguous. Correct word choice, correct spelling, and
correct grammar. Writing style can still be conversational rather than formal

ARCANE Logistics: Statistics Paper

ARCANE Logistics: Statistics PaperARCANE Logistics 
Introduction
In this exercise, you will use various Excel functions to perform statistical analysis on data, which
will simulate the exploratory data analysis that decision modelers perform before moving on to
more sophisticated analysis. As part of this analysis, you will work with pivot tables to analyze
the behavior of subsets of the data. These fundamental techniques are essential when trying to
make sense of large data sets. Many managers confine their analysis to simple calculations of
average. But knowledge of how variables are distributed and whether or not they are strongly
associated with other variables is as much or more important.
Scenario
ARCANE Logistics is a shipping contractor located in Waco, Texas. ARCANE has a shipping
contract with Bear Industries, which operates three plants in Austin, Fort Worth, and Houston. In
the past nine months, managers at ARCANE have found that there have been an unusual
number of losses on shipments for this customer. Losses from shortage (possibly theft), spoilage
from improper handling, and damage have been reported. Although some loss is expected and
very difficult to prevent, the high number of losses this year does not look random. As a result,
ARCANE has decided to hire your loss prevention team to investigate the causes of these
losses.
Data
For this exercise, use the Shipping Data Excel file, which is located in the same folder as this
assignment.
Part 1: Spreadsheet Analysis
1. Compute correlation between each numerical variable. For this exercise, you should use the
correlation function in the data analysis package. Make sure to include date in your correlations
to identify if losses are trending over time.
2. Highlight any correlation that you think is interesting and then discuss this correlation in Part 2
below.
3. Use the descriptive statistics package in Excel to compute descriptive statistics for each of the
numerical variables in your data set.
4. Study loss behavior. How do individual drivers compare on sum of losses and frequency
(count) of losses? Does this behavior vary by loss code? How about shipping origins or destinations. Do the sum of losses and frequency of losses vary by origin and/or destination?
Use pivot tables to isolate truck drivers, origins, destinations and types of losses. Compute
relevant statistics for each. Look for patterns. Hint: Look at the screenshot below.
The following selection of pivot fields yields losses by driver as shown below.
5. Create any charts that you think would be relevant to illustrate your findings. Possible charts
include histograms, line charts, bar charts, etc. Note: if the chart you would like to create will not
work with a pivot table, copy and paste as values the pivot table to another worksheet. You will
then be able to create your chart from this data.

Solved Cases in Statistical Data (SPSS/STA)

Statistical Data
Refer to Major Assignment 3 attachments (Major Assignment 3, Major Assignment 3 Details, and
Country List).
Research the country using The World Factbook found on the Central Intelligence Agency
website at https://www.cia.gov/library/publications/the-world-factbook/, other resources such as
the U.S. Department of State website at https://www.state.gov/travel/, and the GCU Library.
Include three or more scholarly resources, including the textbook and The World Factbook.
Use the Country List to help you complete Major Assignment 3.
Prepare this assignment according to the guidelines found in the GCU Style Guides and
Templates, located in the Student Success Center.
This assignment uses a rubric. Review the rubric prior to beginning the assignment to become
familiar with the expectations for successful completion.

Overview:

You and some of your friends want to travel to another country to provide aid in the form of a mission trip. You have been chosen as the team leader, and your job is to provide a plan for the trip, including a financial plan. This is a big job, and you want to do it right, so you and your team have agreed that the trip will take place 5 years from now.

Requirements for the trip:

Who: You and 5-10 other individuals will travel to provide aid.
When: 5 years in the future. The trip will last 2-4 weeks. This is not a large scale, so you should think carefully about what you can accomplish with a team of this size and time frame.
What: This trip’s main purpose will be to fill some sort of tangible need to improve the day-to-day life of the people you meet. Therefore, your first job will be to decide what your team has to offer and to find a location where there is a need for your talents. You should think about what you can do to alleviate human suffering by working in an area of education, health care, basic supplies (such as clothing or home goods), housing, food or clean water, or work to repair the local environment. If you want to include evangelism as a secondary goal, that is fine, but the criteria you will be graded on is how you make a difference in the day-to-day lives of the people you work with.
Where: You will travel overseas. To keep your project manageable, you must choose one of the locations on the Country List, which is included as an attachment to this assignment. Because of the size of the team and your time frame, you should narrow down your area within the country to fit your project. For example, you can’t expect to provide vaccines to the entire country of Brazil, but you could reasonably expect to provide this service to a small town in the country. So you will need to find an area within your chosen country to focus on. The people that you serve in this area are members of your target population.

Requirements for the assignment:

This assignment will have two parts.
Part 1: You create a PowerPoint presentation describing the trip and explaining why the specific country has been chosen. The presentation should have a minimum of eight slides – a title slide, one for each category below, and a reference slide. All important information should be on the face of the slides but you can submit speaker notes for greater detail. In addition, you will need a minimum of three scholarly resources (see the resource list below for ideas) and the presentation should address the following areas:

  1. An overview of your purpose for the project: Where are going, and what service will you be providing? Remember, evangelism cannot be the sole purpose of your trip or even the primary purpose.
  2. Cultural and social aspects of the country and its population that led you to choose this area of the world.
  3. How your choice of project works toward fulfillment of the Judeo-Christian-Islamic ideal to love your neighbor as yourself: How does your personal worldview and the possible worldviews of your target population influence your plans for the trip?
  4. Information about your target population: Who are you planning to serve? How does this population compare to the population of the country as a whole? You will also need to do a calculation to project either the general or the target population in 5 years in the spreadsheet but it does not need to be discussed in the presentation. The World Factbook provides population growth data to help you here.
  5. Information about the economic situation in your country and how your project will improve this.
  6. Possible concerns that you need to keep in mind to keep your team and your target population safe. This could be safety from violence or from health problems (for example, will your team need inoculations to travel to the country).

Part 2: A financial plan for your trip, which you will include in the provided Excel spreadsheet. Your financial plan needs to include the following information:

  1. A list of expenses for all members of your trip. This must include the following:
    1. Travel expenses, such as plane or bus fare, passports/visas, local travel within the country. Plane fare can be in U.S. dollars, but the local travel will need to be in the local currency of the country you visit.
    2. Lodging expenses. If you plan to camp, you will include expenses for your camping gear. If you are planning to stay with a host church or host family, you should research the cost of lodging in your target area and provide a per diem donation that is commensurate with the local lodging rates. This will be in the local currency.
    3. Food expenses while you are overseas. Again, if you are being fed by local residents, you will research the approximate cost to feed your group and provide a per diem donation to cover expenses. One way to do this is to research cost of living in your country to find out what a local family would expect to budget to pay for food. Again, these costs will be in the local currency.
    4. Supplies for your project. Provide at least four items that you will need to complete your project. Depending on the nature of your project, these might be in U.S. dollars, or in the local currency, or they may be a mix.
    5. For your expenses that are given in the local currency, a conversion to U.S. dollars.
    6. For each expense, you will use the CPI data from the Bureau of Labor Statistics to calculate your estimated expense 5 years in the future.
    7. A grand total of all projected expenses 5 years from now.
  2. Funding sources for your trip.
    1. Sponsorship: You are going to assume that you can find a sponsor who can provide 30% of your grand total of all expenses for seed money, and you will invest that money in a savings account for the next 5 years. Research current savings rates and calculate what this amount will grow to over the next 5 years.
    2. Savings: Your team will work on various fundraisers to save for the trip, and you estimate that you can raise $100 a month every month over the next 5 years, which you will also put into a savings account. Using the savings rates you found in part a., calculate what these regular savings amounts will grow to over the next 5 years.
    3. Loan: If your sponsorship and savings totals do not cover your expenses, then you will need to take out a loan for the remainder of your expenses. Even if your sponsorship and savings total do cover all expenses, then you will take out a $10,000 loan for an additional emergency cushion. Research loan rates from two banks, and calculate the monthly payment, total that you pay back to the bank and total interest you will pay for each loan. You will indicate in the spreadsheet which of the two loans is a better choice for you and your reasons why.

Resources

You should plan to use the following resources to help you with your plan. You can also use other resources, but at a minimum, you will need the Excel Budget Spreadsheet, BLS CPI data, and CIA World Factbook. Additionally, your paper requires three scholarly sources.

Tips and formulas:

  • This assignment uses a rubric. Please be sure to look at the grading criteria and point values for each area of the rubric to see how you will be graded on this assignment.
  • Compound interest formula (also called the Lump Sum Investment formula) formatted for EXCEL: A = P * ((1 + r/n)^(n * t).
    • A is the accrued amount after t years that the principal, P, grows to at interest rate, r%, compounded n times each year.
  • Regular payments formula (also called the Savings Plan formula) formatted for EXCEL: A = PMT * ((1 + r/n)^(n * t)-1)/(r/n).
    • A is the accrued amount after t years of making regular payments, PMT, into an account at interest rate, r%, compounded n times each year.
  • Loan payment formula formatted for EXCEL: PMT = P * (r/n)/(1 – (1 + r/n)^(-n*t)).
    • PMT is the payment required to pay off a loan of $P at interest rate, r%, compounded n times per year for t
  • Percent change IR = (new CPI – old CPI)/old CPI where IR is inflation rate.

Solved Cases in Statistical Data (SPSS/STA)

Statistical Data
Refer to Major Assignment 3 attachments (Major Assignment 3, Major Assignment 3 Details, and
Country List).
Research the country using The World Factbook found on the Central Intelligence Agency
website at https://www.cia.gov/library/publications/the-world-factbook/, other resources such as
the U.S. Department of State website at https://www.state.gov/travel/, and the GCU Library.
Include three or more scholarly resources, including the textbook and The World Factbook.
Use the Country List to help you complete Major Assignment 3.
Prepare this assignment according to the guidelines found in the GCU Style Guides and
Templates, located in the Student Success Center.
This assignment uses a rubric. Review the rubric prior to beginning the assignment to become
familiar with the expectations for successful completion.

Overview:

You and some of your friends want to travel to another country to provide aid in the form of a mission trip. You have been chosen as the team leader, and your job is to provide a plan for the trip, including a financial plan. This is a big job, and you want to do it right, so you and your team have agreed that the trip will take place 5 years from now.

Requirements for the trip:

Who: You and 5-10 other individuals will travel to provide aid.
When: 5 years in the future. The trip will last 2-4 weeks. This is not a large scale, so you should think carefully about what you can accomplish with a team of this size and time frame.
What: This trip’s main purpose will be to fill some sort of tangible need to improve the day-to-day life of the people you meet. Therefore, your first job will be to decide what your team has to offer and to find a location where there is a need for your talents. You should think about what you can do to alleviate human suffering by working in an area of education, health care, basic supplies (such as clothing or home goods), housing, food or clean water, or work to repair the local environment. If you want to include evangelism as a secondary goal, that is fine, but the criteria you will be graded on is how you make a difference in the day-to-day lives of the people you work with.
Where: You will travel overseas. To keep your project manageable, you must choose one of the locations on the Country List, which is included as an attachment to this assignment. Because of the size of the team and your time frame, you should narrow down your area within the country to fit your project. For example, you can’t expect to provide vaccines to the entire country of Brazil, but you could reasonably expect to provide this service to a small town in the country. So you will need to find an area within your chosen country to focus on. The people that you serve in this area are members of your target population.

Requirements for the assignment:

This assignment will have two parts.
Part 1: You create a PowerPoint presentation describing the trip and explaining why the specific country has been chosen. The presentation should have a minimum of eight slides – a title slide, one for each category below, and a reference slide. All important information should be on the face of the slides but you can submit speaker notes for greater detail. In addition, you will need a minimum of three scholarly resources (see the resource list below for ideas) and the presentation should address the following areas:

  1. An overview of your purpose for the project: Where are going, and what service will you be providing? Remember, evangelism cannot be the sole purpose of your trip or even the primary purpose.
  2. Cultural and social aspects of the country and its population that led you to choose this area of the world.
  3. How your choice of project works toward fulfillment of the Judeo-Christian-Islamic ideal to love your neighbor as yourself: How does your personal worldview and the possible worldviews of your target population influence your plans for the trip?
  4. Information about your target population: Who are you planning to serve? How does this population compare to the population of the country as a whole? You will also need to do a calculation to project either the general or the target population in 5 years in the spreadsheet but it does not need to be discussed in the presentation. The World Factbook provides population growth data to help you here.
  5. Information about the economic situation in your country and how your project will improve this.
  6. Possible concerns that you need to keep in mind to keep your team and your target population safe. This could be safety from violence or from health problems (for example, will your team need inoculations to travel to the country).

Part 2: A financial plan for your trip, which you will include in the provided Excel spreadsheet. Your financial plan needs to include the following information:

  1. A list of expenses for all members of your trip. This must include the following:
    1. Travel expenses, such as plane or bus fare, passports/visas, local travel within the country. Plane fare can be in U.S. dollars, but the local travel will need to be in the local currency of the country you visit.
    2. Lodging expenses. If you plan to camp, you will include expenses for your camping gear. If you are planning to stay with a host church or host family, you should research the cost of lodging in your target area and provide a per diem donation that is commensurate with the local lodging rates. This will be in the local currency.
    3. Food expenses while you are overseas. Again, if you are being fed by local residents, you will research the approximate cost to feed your group and provide a per diem donation to cover expenses. One way to do this is to research cost of living in your country to find out what a local family would expect to budget to pay for food. Again, these costs will be in the local currency.
    4. Supplies for your project. Provide at least four items that you will need to complete your project. Depending on the nature of your project, these might be in U.S. dollars, or in the local currency, or they may be a mix.
    5. For your expenses that are given in the local currency, a conversion to U.S. dollars.
    6. For each expense, you will use the CPI data from the Bureau of Labor Statistics to calculate your estimated expense 5 years in the future.
    7. A grand total of all projected expenses 5 years from now.
  2. Funding sources for your trip.
    1. Sponsorship: You are going to assume that you can find a sponsor who can provide 30% of your grand total of all expenses for seed money, and you will invest that money in a savings account for the next 5 years. Research current savings rates and calculate what this amount will grow to over the next 5 years.
    2. Savings: Your team will work on various fundraisers to save for the trip, and you estimate that you can raise $100 a month every month over the next 5 years, which you will also put into a savings account. Using the savings rates you found in part a., calculate what these regular savings amounts will grow to over the next 5 years.
    3. Loan: If your sponsorship and savings totals do not cover your expenses, then you will need to take out a loan for the remainder of your expenses. Even if your sponsorship and savings total do cover all expenses, then you will take out a $10,000 loan for an additional emergency cushion. Research loan rates from two banks, and calculate the monthly payment, total that you pay back to the bank and total interest you will pay for each loan. You will indicate in the spreadsheet which of the two loans is a better choice for you and your reasons why.

Resources

You should plan to use the following resources to help you with your plan. You can also use other resources, but at a minimum, you will need the Excel Budget Spreadsheet, BLS CPI data, and CIA World Factbook. Additionally, your paper requires three scholarly sources.

Tips and formulas:

  • This assignment uses a rubric. Please be sure to look at the grading criteria and point values for each area of the rubric to see how you will be graded on this assignment.
  • Compound interest formula (also called the Lump Sum Investment formula) formatted for EXCEL: A = P * ((1 + r/n)^(n * t).
    • A is the accrued amount after t years that the principal, P, grows to at interest rate, r%, compounded n times each year.
  • Regular payments formula (also called the Savings Plan formula) formatted for EXCEL: A = PMT * ((1 + r/n)^(n * t)-1)/(r/n).
    • A is the accrued amount after t years of making regular payments, PMT, into an account at interest rate, r%, compounded n times each year.
  • Loan payment formula formatted for EXCEL: PMT = P * (r/n)/(1 – (1 + r/n)^(-n*t)).
    • PMT is the payment required to pay off a loan of $P at interest rate, r%, compounded n times per year for t
  • Percent change IR = (new CPI – old CPI)/old CPI where IR is inflation rate.

Statistical Data Representation Memorandum

Statistical Data Representation Memorandum

Instructions
 Timberline Health, an integrated delivery system serving residents in five counties in eastern Washington, is considering
new opportunities to increase community awareness of the organization’s outpatient health services. As the new business development manager of hearing health services, Jack Andrews is responsible for evaluating the feasibility of marketing activities for the hearing service line and must allocate resources to promotional activities that forecast positive return on investment. One option under consideration is to sponsor the health and wellness pavilion at the Spokane County Fair. Research from comparable markets has shownthat wellness fairs are not only effective at educating communities about potential risk factors for health problems,
including hearing loss, but also increasing consumer awareness of new or existing health services provided by local health organizations. These activities are essential to Timberline Health’s mission within the community.
Since little is known about the hearing status of residents in the market area, Jack enlists the services of his organization’s epidemiologist, Dr. Ruth Litchfield, to help him evaluate the potential return on investment for this marketing campaign.
Dr. Litchfield incorporates several factors into her analysis. She reviews public health data on hearing loss, occupational
and age distribution data for local residents, as well as a query of Timberline Health’s patient databases. Based on this research, she estimates the prevalence of hearing loss in the five-county service area at 18 percent, slightly higher than the national average (NIH, 2010). Jack receives information from the fair’s sales and marketing department to help in his calculations. Specifically, sponsorship consists of an investment of $50,000 for the design and production of promotional materials and rental of pavilion space for the duration of the twelve day fair. Data from the previous three years shows on average 250,000 people attend the fair, of which 1% visit the wellness pavilion and participate in health screening services.
If Timberline Health is to offer mobile hearing screening, the organization must invest in new portable audiology
equipment. Jack receives a quotation from his supplier and estimates the total investment in new audiometers and
audiometric booths at $16,000. Timberline Health will use existing diagnostic equipment to test people who have failed
the initial screening (i.e. test positive for hearing loss), so it is unnecessary to invest in additional equipment for the hearing centers. Vendor specifications for the screening and diagnostic equipment are indicated in Table 1.
Table 1
Vendor equipment specifications

Equipment Sensitivity Specificity
Portable audiology equipment for free screening 90% 96%
  Clinic-based audiology equipment for follow-up diagnostic testing 99% 99%

Furthermore, Jack calculates that he must provide coverage for three 6-hour shifts per day and each shift must have three audiologists to meet demand for screening tests. He anticipates hiring nine people to provide coverage for the duration of
the fair. The hourly rate for audiologists is
$37.50.
People who fail the initial screening at the fair are referred to an audiologist for a diagnostic test. Jack assumes in his calculations that all people who are referred for diagnostic testing follow up with an audiologist in one of Timberline
Health’s hearing centers. Initial screening tests at the fair are free; however, Timberline Health charges $57.00 for a diagnostic hearing test, which costs the organization $24.00. Using past sales data and industry metrics, Jack forecasts
that of the total number of people diagnosed with hearing loss at hearing centers only 20% will purchase hearing aids (NIH, 2010). He reviews sales and margin data from the prior year to identify the product mix for his calculations as indicated in Table 2.
Table 2
Sales and margin data

Hearing Aids Unit Price 2015 Sales Margin
Low-end $1,000 $400,000 25%
Mid-range $2,500 $1,250,000 45%
  High-end $4,000 $400,000 60%

Reference
National Institutes of Health (NIH) (2010, October 1). Fact Sheet: Hearing aids. Retrieved from
U.S. Department of Health and Human Services: National Institutes of Health:
https://report.nih.gov/nihfactsheets/viewfactsheet.aspx?csid=95
 
Write a Memorandum (no more than 2 pages) addressed to your faculty on the Subject of: Statistical Data representation in the Timberline Health case study 
1. Construct a 2-by2 contingency table to determine the total number of people who fail the screening test and will be
referred for diagnostic testing in the hearing centers.
2. Construct a 2-by-2 contingency table to determine the total number of people who fail the diagnostic test, which
represents the target market for hearing aid sales.
***For each table: list what data (and calculations) you used for the table
3. Explain the significance of Sensitivity and Specificity of Portable audiology equipment and Clinic-based audiology equipment.
4. Explain why Sensitivity and Specificity for the Clinic-based audiology equipment for follow-up diagnostic testing is
higher than for
Portable audiology equipment for a free screening.
**When appropriate, refer to credible resources following APA format.
Note:  
There is an underlying assumption in this case that the screening and diagnostic tests are independent, such that the
first test does not affect the results of the second test even though this is generally not true with a series of tests. The
resulting cohort of people who test positive for hearing loss represents the target market or total number of prospects for hearing aid sales from the proposed marketing campaign
As a guideline, a 2-by-2 contingency table is constructed in Table TN-1:
Table TN-1
Contingency table construction
Test result                              Disease (D)               No Disease (NoD)                                               Total
 

Positive 
Negative
(a)True Positive (b)False Positive (a + b) 
(c + d)
(c)False Negative (d)True Negative

Total                              (a+c)                                    (b+d)                                         (a+b+c+d)
(prevalence)                         (1 – prevalence)

 

Correlation and Bivariate Regression

Correlation and Bivariate Regression 
Correlation tests are some of the most widely used tests; unfortunately, they are also some of the most misinterpreted tests. The term correlation is frequently used in a colloquial sense, but has a very specific definition within the context of statistics. As a critical consumer of research, after this week you will be able to properly interpret the strengths and weaknesses of this specific test.
Perhaps the most exciting part of this week’s activities is the introduction to ordinary least squares regression. This form of linear regression is frequently referred to as the “workhorse” of the social sciences, and for good reason. It is one of the most widely used statistical tests.
In this week, you will examine correlation and bivariate regression. In your examination you will construct research questions, evaluate research design, and analyze results related to correlation and bivariate regression.
Learning Objectives

Students will:
  • Construct research questions
  • Evaluate research design through research questions
  • Analyze correlation and bivariate regression
  • Analyze measures for correlation and bivariate regression
  • Analyze significance of correlation and bivariate regression
  • Analyze results for correlation and bivariate regression testing
  • Analyze assumptions of correlation and bivariate regression
  • Analyze implications for social change
  • Evaluate research related to correlation and bivariate regression

Statistical Questions Assignment

1. Briefly explain the difference between player ability and player performance.
2. Suppose Dustin Pedroia is a 0.300 hitter. That is, his true probability of getting a hit on a
single at-bat is 0.300. We represent his batting ability with a spinner shown below with a HIT
area of 0.300.
Pedroia comes to bat 12 times over the weekend. We can simulate 12 at-bats for Pedroia by
spinning the spinner 12 times and counting the number of times the spinner lands in the HIT
region. We repeated this process 20 times and below are the number of hits that we
observed for these 20 weekends.
4, 2, 5, 8, 1, 5, 5, 0, 2, 4, 5, 1, 2, 7, 3, 2, 3, 3, 2, 3
a. Construct a frequency table of these hit numbers and put your counts in the table below:
Number of
hits
0 1 2 3 4 5 6 7 8 9 10 11 12
Counts
b. What is the most frequent number of hits Pedroia gets?
c. Find the probability Pedroia gets five or more hits over the weekend.
3. Open the MLB_Attendance_2005_2019.xlsx spreadsheet containing data on attendance per
game for each MLB ballclub compared from 2005 to 2019. In this 14-year span, the average
attendance per game actually decreased from 31396 to 28666, a 2730 person decrease,
which one can postulate is attributed to a gradual sense of disinterest in our national
pastime. Is this average attendance decrease statistically significant? Complete and show
your work in the Excel spreadsheet provided.

Statistics homework help

In this week’s assignment, you will explore the different types of graphs used to visualize data. Results from both Excel and SPSS should be copied and pasted into a Word document for submission.
Each graph must contain a narrative description of what it represents and an interpretation of the image. Please use the provided datasets for building these figures.

  1. Pie chart
  2. Bar chart
  3. Scatterplot
  4. Histogram

Length: 4 pages not including title page or reference page
References: Include a minimum of 2 scholarly resources. Be sure to reference Excel and SPSS as they are resources for this assignment, although not scholarly.
Your paper should demonstrate thoughtful consideration of the ideas and concepts presented in the course and provide new thoughts and insights relating directly to this topic. Your response should reflect scholarly writing and current APA standards.

Excel Statistics Assignment

Instructions:
Perform all computations in Excel. Submit the completed Excel file for grading. For
the normal probability questions, you can use the Z table, or you can use the NORM.DIST()
function. See Normal Probability Example.xls on the Lecture Slides and Spreadsheets page of
LM 2 for an example of how to use this function.
Scenario 1
You are staffing a security detail for a large manufacturing plant. Absenteeism is an ongoing
problem. (Don’t blame the staff. You don’t pay very well, and since you started your master’s
degree while still working full time, you have been somewhat irritable. ) The schedule has five
employees designated for duty today. Based on history, the probability that everyone will show
up is 65%. The probability that only 4 will show up is 22%, the probability that 3 will show up is
9%, and the probability that 2 will show up is 4%.
1. What is the probability that 3 or 4 employees will show up?
2. What is the probability that there will be only 1 employee on duty?
3. What is the probability that no more than four employees will show up?
Scenario 2
The armory has four AR15s, three Glock 9s, two shotguns, and three 45 caliber revolvers. Define
A as semi-automatic weapons, define B as handguns, and define C as long guns.
4. If you are randomly issued a weapon, what are the probabilities associated with drawing each
type of gun?
5. If you are randomly issued a weapon, what is the probability it will be a semi-automatic
weapon? Hint: P(A)?
6. If you are randomly issued a weapon, what is the probability that it not a semi-automatic
weapon?
7. If you are randomly issued a weapon, what is the probability it will be a semi-automatic
weapon or a long gun? Hint: P(AC)
Scenario 3:
You are in charge of cybersecurity at your firm. An analyst for your firm determined that the
number of daily attacks on your network are normally distributed with a mean of 345 and a
standard deviation of 68. Note: I put a nice normal table in the File Cabinet for this exercise.
Also, remember that you have to compute the Z score = (X – )/. Then, you use the Z score to
find the probability. If the probability is for less than, you simply read the probability off the table.
If the probability is for greater than, you take the complement of the table probability. Easy!!
8. What is the probability that you will have over 400 attacks today?
9. What is the probability that you will have less than 345 attacks tod