Q:

The scatter plot shows the relationship between the test scores of a group of students and the number of hours they spend on social media in a week: A scatter plot is shown. The x-axis is labeled Hours spent on social media, and the y-axis is labeled test score. Data points are located at 0.5 and 100, 2 and 100, 1 and 95, 3 and 85, 3 and 78, 5 and 75, 5 and 72, 6 and 70, 6 and 98, 7 and 60. A circle labeled A includes all of the points except for the one at 6 and 98. Point 6 and 98 is labled B. Part A: What is the group of points labeled A called? What is the point labeled B called? Give a possible reason for the presence of point B. (3 points) Part B: Describe the association between a student’s test scores and the number of hours spent on social media. (2 points)

Accepted Solution

A:
First I let's represent our data in the table and make a scatter plot ( i attached the image).
[tex]\begin{tabular}{ll} x & y \\ 0.5 & 100 \\ 2 & 100 \\ 1 & 95 \\ 3 & 85 \\ 3 & 78 \\ 5 & 75 \\ 5 & 72 \\ 6 & 70 \\ 6 & 98 \\ 7 & 60 \\ \end [/tex]
Points labeled A are called data set.
Point labelled B is called the outlier. The outlier is a point that does not fit well with the rest of our data set. Posible reason for point B is that someone is super smart and they don't need to spend a lot of time studying to achieve good results.
PartB
We can see from the graph that the number of hours spent on social media and test scores are negatively correlated. See a scatter plot, I added the trend line.
In other words, the more hours you spend on social media the lower your test scores should be.