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Analyzing the Relationship between Laptop Processor Speed and Cost, Assignments of Mathematical finance

University of Texas - DallasMathematical finance

This case study explores the relationship between a laptop's processor speed and its cost, with the goal of helping consumers make informed purchasing decisions. The analysis involves gathering data on 15 laptop models, creating a scatterplot and trend line to visualize the relationship, and using the trend line equation to make predictions about the cost of laptops with different processor speeds. The study also considers feedback from peers to refine the analysis, including the impact of brand and other technical features on laptop pricing. The findings suggest an exponential relationship between processor speed and cost, but the complexity of the laptop market is acknowledged, providing valuable insights for students interested in quantitative reasoning, data analysis, and consumer decision-making.

Typology: Assignments

2023/2024

Uploaded on 06/09/2024

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Trend Lines Case Study
To complete this Case Study, you will need to have this document AND the Trend Line Study
Excel Document open.
Project Goal: To learn how trend lines can be used as a powerful tool in the Quantitative
Reasoning Process.
1. Understand the Problem
To start, choose a situation that can be analyzed using a scatterplot and trend line. The scenario
should involve numerical (quantitative data) that allows the relationship between an input
variable and an output variable to be displayed on a scatterplot with a trend line. You can refer
to the examples below for inspiration, but it's recommended that you select a scenario that is
relevant to your experiences. Try to be creative when choosing your scenario, and make sure
it's something that will allow you to make an informed decision based on the data you collect
and analyze.
Below are scenario ideas:
Personal Health: Compare the number of steps you take each day and the hours you
sleep at night.
Buying a Laptop: Compare the processor speed and the cost of a laptop.
COVID-19: Compare the average age of people in a city or country and COVID rates.
Running: Compare the age of a runner to their speed.
Education: Compare the number of hours spent studying and the grades received in a
course.
Economics: Compare the unemployment rate and inflation rate in a country.
Mental Health: Compare the level of stress and the number of hours of sleep a person
gets.
Grocery Shopping: Compare the cost and nutritional value of different brands of food
items.
Higher Education: Compare the cost and potential earnings of different degree
programs or vocational training.
Here are a few places to check online if you need free data:
Google Public Data
The World Factbook
OpenCorporates
Kaggle Datasets
FiveThirtyEight
Question Answer
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Download Analyzing the Relationship between Laptop Processor Speed and Cost and more Assignments Mathematical finance in PDF only on Docsity!

Trend Lines Case Study

To complete this Case Study, you will need to have this document AND the Trend Line Study Excel Document open. Project Goal : To learn how trend lines can be used as a powerful tool in the Quantitative Reasoning Process.

1. Understand the Problem

To start, choose a situation that can be analyzed using a scatterplot and trend line. The scenario should involve numerical (quantitative data) that allows the relationship between an input variable and an output variable to be displayed on a scatterplot with a trend line. You can refer to the examples below for inspiration, but it's recommended that you select a scenario that is relevant to your experiences. Try to be creative when choosing your scenario, and make sure it's something that will allow you to make an informed decision based on the data you collect and analyze. Below are scenario ideas:  Personal Health : Compare the number of steps you take each day and the hours you sleep at night.  Buying a Laptop : Compare the processor speed and the cost of a laptop.  COVID-19 : Compare the average age of people in a city or country and COVID rates.  Running : Compare the age of a runner to their speed.  Education : Compare the number of hours spent studying and the grades received in a course.  Economics : Compare the unemployment rate and inflation rate in a country.  Mental Health : Compare the level of stress and the number of hours of sleep a person gets.  Grocery Shopping : Compare the cost and nutritional value of different brands of food items.  Higher Education : Compare the cost and potential earnings of different degree programs or vocational training. Here are a few places to check online if you need free data:  Google Public Data  The World Factbook  OpenCorporates  Kaggle Datasets  FiveThirtyEight Question Answer

Describe the background and purpose of your scenario. In this scenario, we are looking to analyze the relationship between a laptop's CPU speed and its cost. The objective is to determine if there is a correlation between these two variables and to identify the type of relationship that links them.

2. Identifying Variables and Assumptions

List the important factors and conditions that you will consider when making your decision. You will need to identify two main variables:  An input variable that affects the outcome  An output variable Additionally, you should mention two or more key assumptions. Assumptions refer to the known conditions of the comparison, and they are not predictions or hypotheses. They are like the "controls" in a scientific experiment. Question Answer List your input and output variables. Hint : A variable is an element of a situation that has the potential to vary or change in value. Input variable: Processor speed Output variable: Cost of laptop List two or more key assumptions for this problem. Hint : Assumptions are ideas or concepts that are accepted as true. Assumptions are like removing the "what ifs" in a scenario.

  1. CPU speed and laptop cost data are based on current market models.
  2. There is a correlation between processor speed and laptop cost, but it can vary depending on brands and models.

3. Apply Quantitative Tools

Gather data and report on your findings by following these steps:

1. Gather at least 15 numerical data points. Either collect the data on your own or find the data online from a reliable source. Put the data on the Excel spreadsheet. (Green and yellow boxes) 2. Explain how you collected the data. Question Answer

5. Evaluate Your Reasoning

Share your project and data with at least two other people, such as group members on the discussion board, an online tutor, instructor, family member, or friend. Ask for feedback from them and use it to improve your project. After incorporating the feedback, answer the questions below about the feedback you received and explain any changes you made to your project because of their evaluation. This completes the Quantitative Reasoning Process. Question Answer Who did you share your project with? Name 1: Michel Name 2: Jessica How you know these people: Michel is my cousin and Jessica my wife. What feedback did you receive? Jessica found the analysis interesting but suggested including information about the brand of laptops in the analysis as she thinks it could also impact the cost and Michel pointed out that the relationship between processor speed and laptop cost might be more complex in reality due to factors such as component quality, brand, and other technical features What changes did you make because of the feedback you received? Following the feedback received, I decided to add additional analysis by including the brand of laptops in the model. I collected data on the brand of each laptop and analyzed whether the brand had a significant impact on cost, in addition to processor speed. I also took into account Jessica's comments about the complexity of the relationship between processor speed and cost, and added a more in-depth analysis of other technical features that could influence the price of laptops.

Turning in Your Assignment

  1. Make sure all the answer boxes are filled in on this document.
  1. Make sure all the colored boxes in the Excel spreadsheet are completed.
  2. Review the rubric before you turn in this assignment to make sure you will get the best grade possible for your work.
  3. Turn in both this document and the Excel spreadsheet.