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MAT152 Project Directions and Template

You will complete this project using the data and analysis from your previous Project. Please refer to this Project Example that has directions and tips to guide you as you reflect on your project and provide answers for each question based on the data you gathered.

**Question 1: **What study did you conduct for your previous project and what were the results? Did you make any adjustments from your previous project data that will be discussed moving forward?

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**Directions: **Summarize your findings from your previous project (Project: Units 1 and 2). Include what your questions were, what the results were, and any other pertinent information.

**Question 2:** What information did you collect from participants? Which is categorical and which is quantitative? Explain your answer.

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**Directions: **Revisit the data you collected from participants. Explore the concepts of categorical and quantitative data and apply them to each variable you collected.

**Question 3:**

**Does there appear to be any correlation between age and the quantitative data you collected?** You must support your answer by creating a scatter plot and running a linear regression on Excel or

__alcula.com__

.

**If so, is the correlation positive or negative? **

*Explain in a minimum of 2 sentences, and you MUST include a picture of your scatter plot.*

**Question 4:** After constructing a linear regression of the data, answer the following questions.

**Include a screenshot or image upload showing the trendline equation and R2 value**.

a. What is the equation of the trendline?

b. What is the coefficient of determination (R2)?

c. Write a contextualized summary about the slope, y-intercept, and coefficient of determination. Include whether the data makes sense in the real-world context.

**Question 5:** Was your study an observational or an experimental study? State whether your study was observational or experimental and explain.

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**Directions: **Discuss whether your experiment was observational or experimental.

**Question 6:** What were the limitations of the study you conducted?

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**Directions: **Consider what you know about statistical studies and their limitations. Evaluate the limitations of your statistical study.

**Question 7: **Answer the following questions after considering the possible bias(es) that are present in your statistical study.

**Discuss
response bias,
non-response bias, and
selection bias.
**

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**Directions: **Discuss what you did to avoid or minimize bias in your study.

*Note: Every study most likely has some sort of bias.*

a. What did you do to avoid or minimize bias in your study?

b. Which bias(es) occurred in your study?

c. How could you minimize this bias in future studies?

**Question 8:** If you were to expand your study to 500 people, what could you expect your

**categorical **(non-numerical) results to look like? In other words, how many people out of 500 would have given each of your responses. *Assume your results would be proportional to your original study.*

**Directions: **Apply your knowledge of proportional reasoning to expand your study. Imagine you wanted to ask 500 people your question(s). Determine the approximate number of individuals that would have responded in particular ways using proportional reasoning.

a. Support your answer with work; make sure to turn this in or represent this in your project. Give specific numbers.

b. Write a contextualized sentence(s) explaining your results.

**Question 9:** Which study would you expect to be more reliable – your initial study or a study that was conducted with 500 people? Explain your reasoning.

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**Directions: **Write a conclusion summarizing your study and what you learned. Highlight key information and anything you found particularly interesting.

· Prompts to consider:

· What questions did you ask and why did you ask them (why are they interesting to you)?

· Were you surprised by the information you received from participants? Explain.

· Comparing this project to your previous project, what are some things you have learned, gotten better at, or strengthened your understanding of?

· What did you find interesting about this project? Give specific details.

· “In the future I would…”

· “What I will be taking away from this project is…”