Project 1- Descriptive Statistics & Correlation

Project 1: Descriptive Statistics & Correlation

 

Project Goal: Using collected data, assess comprehension of data collection, creating graphical displays, interpreting descriptive statistics, and analyzing data using correlation and regression.

Project Overview: This project is broken down into three checkpoints, which you will complete according to the course schedule. All written work should be completed within this document, and you should use it like a step-by-step checklist of questions/objectives to complete. All short answer questions should be written in full sentences, with consideration given for grammar and spelling.

Before you begin working in this project, click file, then save as, and change the saved file name to include your name. For example, someone named Rachel Sherman would save the file as Project_1_RachelSherman.

Data Collection Checkpoint:

Checkpoint Overview: The Data Collection Checkpoint is designed to walk you through determining a research question and data collection plan that will allow you to adequately collect the data needed to complete your projects this semester.

1. Brainstorm a topic of interest to you. Write your topic below; be specific and provide details as to why this interests you. (Need help brainstorming? Refer to the Overview & Instructions: Descriptive Statistics & Correlation Project in D2L.)

I am interested in Viewers’ Sports Preferences: Football vs Basketball. This is an interesting topic to me because I love all sports, and bond with my family and friends watching.

2. Using the topic of interest you came up with, write at least three good statistical questions you hope to answer this semester, using the data you eventually collect. Remember, these are investigative questions which anticipate variability.

a. First question: What Sport do you like to watch football or basketball?

b. Second question: Do children under the age of 18 watch college sports more than professional sport?

c. Third question: Do you believe men’s sports are more interesting then women’s?

d. (Optional) Additional questions may be written here.

3. Write at least two quantitative questions pertaining to your topic of interest, that could help you learn more about your statistical questions. (These are questions that you will ask when you conduct your survey.)

a. First question: What sport do you watch football or basketball?

b. Second question: How old are you?

c. How many games have you watched?

 

4. In Project 2, you will compare the categorical data from your survey to previously published survey data. At least one of the categorical questions you ask below, should be the same as a question asked in a previously published survey. (Hint: You will need to include the link to this previously published survey in Project 2.)

 

Write at least two categorical questions pertaining to your topic of interest, that could help you learn more about your statistical questions. (These are questions that you will ask when you conduct your survey.)

a. First question:

b. Second question:

c. (Optional) Additional questions may be written here.

5. Using any type of sampling, design a method for collecting sample data using the survey questions you wrote in Question 3 & Question 4 above. You should aim to collect a sample which is as representative as possible of the population; you will have a chance to discuss the potential for bias later in this project.

a. Identify the population you are studying, and explain how you would acquire sample data from this population. Be specific.

 

b. Explain why your data collection method would be an observational study, or an experiment.

 

 

Once your instructor has confirmed your data collection plan with you, proceed to conduct your survey. You will need to survey at least 30. If your survey yields more than 30 responses, you will use all responses. The data you collect must be provided to your instructor via the Project Data Assignment in D2L, so be sure to keep this data organized in a Google Sheet.

It is strongly recommended that you use a Google Form to collect your data, since it will automatically populate the survey responses into a Google Sheet. Be sure that your Google Sheet security settings allow view-only for Delaware Technical Community College, so your instructor can access the file. Include the link here.

Visualization and Descriptive Statistics Checkpoint:

Checkpoint Overview: The Visualization and Descriptive Statistics Checkpoint is designed to walk you through the process of discussing and interpreting descriptive statistics, as well as creating graphical displays using technology and describing what we learn from graphical displays. The remainder of this project will utilize the two quantitative questions you collected survey data on.

So we can get started with our analysis, let us begin by answering a few general questions about our data.

6. For each of your quantitative survey questions (see question 3), identify the variable, classify it as quantitative discrete or quantitative continuous, and justify the classification. Answers should be written in a full sentence.

a. First variable: What Sport do you like to watch football or basketball?

b. Second variable:

c.

7. Using the appropriate terminology, explain at least one way in which this data might be biased.

For the next group of questions choose two quantitative variables from question 6. We will be investigating the distributions using summary statistics and graphical displays. It is recommended that you consider using the Describing and Exploring Quantitative Variables Stat App https://dcmpdatatools.utdanacenter.org/eda_quantitative/ .

8. We will begin by analyzing your first variable. Use technology to answer the following questions.

a. State which variable this is.

b. Use technology to calculate the mean, median, and standard deviation of the dataset. Include a screen clip of your results below.

c. Write a sentence that identifies the values of the mean and median, including correct units.

d. Compare the values of the mean to the median for the dataset. What does this suggest about the shape of distribution? Use only the mean/median to answer this question.

e. Write a sentence that identifies the value of the standard deviation, including correct units.

f. Use technology to construct a boxplot. Include a screen clip of your results below. Be sure to modify the name of the variable to match your dataset.

g. Use technology to construct a histogram. Include a screen clip of your results below. Be sure to modify the name of the variable to match your dataset.

h. Using the graphs only, describe the shape of the distribution and identify any outliers. In your explanation, make note if this is different than the predictions you made about the shape of the distribution in part d.

9. We will begin by analyzing your second variable. Use technology to answer the following questions.

a. State which variable this is.

b. Use technology to calculate the mean, median, and standard deviation of the dataset. Include a screen clip of your results below.

c. Write a sentence that identifies the values of the mean and median, including correct units.

d. Compare the values of the mean to the median for the dataset. What does this suggest about the shape of distribution? Use only the mean/median to answer this question.

e. Write a sentence that identifies the value of the standard deviation, including correct units.

f. Use technology to construct a boxplot. Include a screen clip of your results below. Be sure to modify the name of the variable to match your dataset.

g. Use technology to construct a histogram. Include a screen clip of your results below. Be sure to modify the name of the variable to match your dataset.

h. Using the graphs only, describe the shape of the distribution and identify any outliers. In your explanation, make note if this is different than the predictions you made about the shape of the distribution in part d.

Analysis & Reflection:

10. Write 1-2 paragraphs summarizing what you have learned so far about the data you have been exploring in questions 6-9. Explain any contradictions and/or alignments between the summary statistics and the graphs as you discuss the shape, center, spread and outliers for each distribution. Add any additional observations or questions that you have as you move through this project.

Correlation and Regression Checkpoint:

Checkpoint Overview: The Correlation and Regression Checkpoint is designed to walk you through the process of determining if a correlation exists between two quantitative variables, as well as creating graphical displays using technology. The remainder of this project will utilize the two quantitative questions you collected survey data on.

11. Fill in the blanks with your quantitative variables (see questions 8 & 9), to state the research question.

“Is there a linear relationship between the <first variable> and the <second variable>?”

12. Which variable is the explanatory variable and which variable is the response variable? Explain your answer in 1-2 sentences.

For the following questions, consider using the Linear Regression Stat App https://dcmpdatatools.utdanacenter.org/linear_regression/ .

13. Use technology to create a graphical display appropriate for the relationship between two quantitative variables. Include a screen clip of your results below. Be sure to modify the name of the variables to match your datasets.

14. Use a linear regression model to answer the following questions in the context of your variables.

a. Provide a screenshot of the Linear Regression Equation and Model Summary from the ShinyApp readout.

b. Write the linear regression equation.

c. Interpret the slope.

d. Interpret the y-intercept.

e. Interpret the correlation coefficient (R).

f. Interpret the coefficient of determination (R2).

15. Is a linear regression model appropriate? Use the information from the previous question to explain why or why not.

Analysis & Reflection:

16. Write a paragraph summarizing what you have learned so far about the data you have been exploring in questions 11-15. Explain any contradictions and/or alignments between the individual data and the correlation analysis. Add any additional observations or questions that you have as you move through this project.

17. Personal Reflection: At the conclusion of your project, write a brief paragraph with your personal thoughts on your project and the process. You may wish to include anything which surprised you or things you found to be challenging along the way.

 

Data collection Example: https://www.youtube.com/watch?v=23ROIpxtQPo

Explanation & Answer

Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Order Now and we will direct you to our Order Page at Litessays. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.