Week 3 discussion forum | Mathematics homework help

Complete your Week 3 discussion prompt:

One application of algebra in real-life is identifying patterns between two events that seem related (known in mathematics as a correlation). The image below shows a scatter plot (an xy graph containing only points) that shows a relationship between the nurses’ work experience and their annual salaries. Each point in the scatter plot is matching a nurse’s years of work experience with the annual salary earned by that nurse. For example, the point (4, 45) in the scatter plot below, it represents a nurse with 4 years of experience that is earning $45,000 per year.

Now, if you observe carefully the scatter plot, you will see that most of the points are arranged somewhat in a straight line. From this observation, we can infer (conclude) that the annual salary of a nurses has a linear relationship with their years of work experience.

If you look again the scatter plot, you will notice most of the points resemble a straight line that is going up from left to right. This means the following: “The more years of work experience a nurse has, their annual salary increases proportionally (constant rate) per year.” We say this relationship has a positive slope.

From scatter plots such like the one above, we can create a linear equation (known also as a linear model) to help us make predictions of the salary of any nurse based on their work experience.

This discussion has two parts:

(1) Your task is to find the linear equation that represents the scatter plot above by doing the following:

(a) Select any two points from the scatter plot (that has not been chosen from your classmates). List these two points as an ordered-pair: (x1,y1) and (x2,y2).

(b) Calculate the slope of line that the scatter plot resembles by using the two points you selected above. Show work. 

(c) Using the slope-intercept formula y = mx + b, calculate the value of b (also known as the y-intercept). Show work.

(d) Using again the slope-intercept formula y = mx + b, replace the variables m and b by using the values you got in steps 2 & 3 to set up the equation of the line the scatter plot resembles. What is the equation that you found?

(e) Using the equation you found in step 4, make a prediction of the annual salary of a nurse who has 22 years of work experience. Is your answer different than what the scatter plot above shows with the point (22, 60)? Explain why or why not.

(2) Using the internet, find a scatter plot that resembles a line and create a similar exercise (as you did in part 1 above) for your classmates to try.

Get 20% Discount on This Paper
Pages (550 words)
Approximate price: -

Try it now!

Get 20% Discount on This Paper

We'll send you the first draft for approval by at
Total price:

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

5 Star Essays strives for complete client satisfaction at all times. As a result, we never cut corners when it comes to the quality of our homework assistance.


Dissertation Help

At 5 Star Essays, Dissertations are some of the most complex papers that any student is required to write. They require understanding of the subject matter, analysis of existing information and interpretation to develop substantial arguments. Dissertation require significant expertise to ensure that the learner can attain the desired grades. Do these suggestions make you worry? 5staressays.org has all the answers you need. You do not have to struggle doing your dissertations. Hire our professional dissertational writers to get quality and original papers without plagiarism.


Admission Essay Help

Have you been eyeing spots in prestigious institutions? Worry no more. We are here to ensure that your admission papers are written in a professional manner that ensures you get the first chances to your preferred institutions. Through our experts in admission essays, 5staressays.org can develop papers that are professional and guarantee you entry into the institutions.


Research Paper Help

Research paper entail the use of qualitative and quantitative approaches to collect data, implementation of specific frameworks to interpret the data and use of analytical skills to address specific questions. This sounds difficult? 5staressays.org is there to ensure that you don’t strain in meeting these necessities of preparing your research. For answers to your research, get in touch with 5staressays.org.


Persuasive Essay Help

Do you have the right skills and expertise to argue a point persuasively? Writing persuasive essays requires the students to ensure that they argue points in a way that the reader buys into the ideas. This process requires special skills that are not common to all groups of learners. As such, 5staressays.org come in handy to bridge this gap and prepare the persuasive essay for you. The essays are quality, error free and original. Try us now for quality papers.


Application Essay help

Application essays should guarantee you a spot in your preferred institutions. They should be able to be able to provide the reader with an understanding of the writer. How do you begin writing an application essay? What are the contents of the essay? Worry no more this are elements that are covered by 5staressays.org professionals in application essay writers. Get your application essay done for you and you will not regret it.


Scholarship Essay Writing Help

Are you eyeing a scholarship but you are not sure you are in a position to write your essay? 5staressays.org will help you to achieve the desired sponsorship by preparing your scholarship essay at an affordable price. We prepare essays that have a good structure, are plagiarism free and quality. Try us now for quality scholarship essays.