The scatter plot that best represents the relationship between the number of students who passed the final exam and the number of students who failed the class is the first one, which shows no correlation between the two variables.
Step-by-step explanation:
A scatter plot is a type of graph that shows the relationship between two variables. Each point on the graph represents one pair of data points. The position of a point on the graph is determined by the values of the two variables for that data point.
If there is a strong positive correlation between the two variables, the points on the scatter plot will form a cluster in the upper right corner of the graph. This means that as the value of one variable increases, the value of the other variable also increases.
If there is a strong negative correlation between the two variables, the points on the scatter plot will form a cluster in the lower left corner of the graph. This means that as the value of one variable increases, the value of the other variable decreases.
If there is no correlation between the two variables, the points on the scatter plot will be scattered randomly across the graph. This means that there is no relationship between the two variables.
In the scatter plot that shows no correlation, the points are scattered randomly across the graph. This means that there is no relationship between the number of students who passed the final exam and the number of students who failed the class.
Example:
Suppose we have the following data on the number of students who passed the final exam and the number of students who failed the class:
Number of students who passed the final exam | Number of students who failed the class
create a scatter plot of this data to visualize the relationship between the two variables.
Image of scatter plot showing no correlation between the number of students who passed the final exam and the number of students who failed the class Opens in a new window
scatter plot showing no correlation between the number of students who passed the final exam and the number of students who failed the class
As you can see, the points on the scatter plot are scattered randomly across the graph. This means that there is no correlation between the two variables.