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
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more