In this project, you will be using real COVID data to explore the relationship between rates of vaccination and rates of death for a variety of states in the USA. After you gather some data, you will create models(graph, equations) and then use calculus to assess the accuracy of your models.
1. Go to Mayo Clinic Vaccination Tracker.
Just above the map of the United States, select “fully vaccinated.” Then hover your mouse over a state to reveal the percent of that state who are fully vaccinated.
Select 5 states and complete the first two columns of the table below:
State in USA
% fully vaccinated
Total number of
COVID-related deaths
2. Now go to COVID Data Tracker
Use the tool to find the total number of deaths for each of the states you selected in #1. Use the most recent date that is available to complete the third column in the table from #1.
3. Using your complete table, create a Scatter Diagram of the data. In other words, plot your (x,y) data pairs in the Cartesian Plane (x/y coordinate axis system).
• Be sure to scale each axis consistently.• Be sure to label what each axis is measuring, in words.
4. Write the equation of a linear function that “fits” the data in your Scatter Diagram as closely as possible.
• In other words, choose two (x,y) data pairs so that a line passing through those two pairs comes as close to the overall data set as possible. • Write the equation of a line passing through the two (x,y) data pairs you chose. Be sure to show all your work. • Do not just get the equation from software. Find the equation “by hand.”• There is a video posted in the Project #1 Module in Canvas if you need help with this.
5. Next, write the equation of a quadratic function that “fits” the data as closely as possible.
• You will again choose two (x,y) data pairs, or three pairs if you do not have a vertex. You do not need to use the same pairs you used in #4. Choose pairs that you think will make the equation fit the data, keeping in mind this may be very imperfect, depending on the shape of the data. • Show your work in detail. Do not just use software to get the equation.• If you need help with this, check out the video in our Canvas Project #1 Module.
6. Now write the equation of an exponential function that “fits” the data as closely as possible.
• You will again choose two (x,y) data pairs. You do not need to use the same pairs you used in #4 and #5. Choose pairs that you think will make the equation fit the data, keeping in mind this may be very imperfect, depending on the shape of the data. • Show your work in detail. Do not just use software to get the equation.• If you need help with this, check out the video in our Canvas Project #1 Module.
7. Now you are going to test each model (function).
A. Evaluate your linear function at the x-value forone of the states in your table. Compare the y-value of your function to the y-value in the table. How accurate was your function? B. Find the derivative of your linear function at the x-value for the same state you chose in part A. C. By going back to COVID Data Tracker, find the actual rate of change in deaths for the two most recent dates available for the state you’ve chosen. Compare this to the value of the derivative from part B. How accurate was your derivative function?D. Repeat parts A, B & C for your quadratic function.E. Repeat parts A, B & C for your exponential function.
8. Based on your work in #7, which of your three models is the most accurate model and why?
9. Using your model that is most accurate, evaluate the limit of the derivative of your function as “x” approaches 100 % fully vaccinated. Does the value of that limit seem accurate to you? Explain why or why not.
10. No mathematical model is perfectly accurate. As conditions change, models need to change. Discuss at least 3 conditions that might affect the accuracy of your models? In other words, what are at least 3 factors that might change how many total deaths there are from COVID?
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Our Services
Custom Writings Help is a Quality-Oriented Company in Online Writing as a result of hiring exceptional professionals to execute clients' tasks.
Essays
At Custom Writings Help,We understand the struggle of research paper writing, and that is why at Custom WritingS Help, we are all out to help you. We pride ourselves on having a team of clinical writers. The stringent and rigorous vetting process ensures that only the 'BEST' Writers are chosen for the job. We have highly qualified Ph.D. and MA writers working with us; we equally offer these experienced writers specific bonuses and incentives to make them deliver highly original, unique, and informative content at reasonably low prices.
Admissions
Thesis Writing Service
Worlwide, Many Masters Students are struggling with Thesis Completion. A thesis is likely to be the longest and most challenging piece of work a student has ever completed. However, unlike essays and other assignments, a student can pick a particular interest topic and work on their initiative. Fortunately, we are there for you. At Custom Writings Help, you are assured of an authentic, imaginative, informative, linguistically great, and advantageous thesis that adheres to all your needs. So, why continue considering different writers when you have discovered the best in the field?
Editing
Custom Papers
Not a single student can avoid writing custom papers. However, a total lack of experience, skills, and time makes it very hard to produce a superb writing piece. Therefore, if you are seeking professional help, turn to us. Our specialized and experienced writers compose a variety of model papers, including custom essays, college term papers, research papers, book reports, MBA essays, executive summaries, dissertations, Ph.D. theses, admission essays, and research proposals for college and university students at any level.
Coursework
Essay Writing
Most of the students disregard the critical principles of essay writing and compose papers below sensible guidelines. Therefore, with Custom Writings Help, one should not worry about his/her essay. Our Writers compose informative and engaging content on all complexities and topics. We write meaningful and smart essays while prioritizing all aspects that bring about a good grade, such as impeccable grammar, proper structure, zero-plagiarism, and conformance to guidelines.
Coursework
Coourse Work Writing
Don't let the seemingly never-ending onslaught of writing assignments get you down. If you are looking where to get course work assistance online, the writers at Custom Writings Help are here to assist you with all of your writing needs. We undertake to unique delivery of papers that meet the professor's requirements. The content is proofread, edited, and checked plagiarism before submission to customers. No matter how big or small your work is, we will deliver on time. Try US Now! !
Coursework
Dissertation Writing Service
High-Quality Dissertation Writing Services are rare. They require Ph.D. academicians – not easily found. However, are an exception. The years, time, and resources we have invested in the dissertation world has given us a competitive advantage over others. Choose to come to Custom Writings Help; You will find perfect Ph.D. consultants who have written hundreds of dissertations theses ready to help you. Let our dissertation-writing services help you craft your dissertation, for you are assured we will give you the results.