Week 3 Discussion Forum

Week 3 Discussion Forum

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.

Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

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

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.


Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.


Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.


Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.


Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.

× Chat on WhatsApp