Use the image to answer the question.

A scatterplot graph shows x-axis ranging from 0 to 50 and y-axis ranging from 0 to 10. Multiple points are plotted around a line that points downward to the right with an arrowhead on the bottom.
The x-axis is drawn in increments of 5 but labeled in increments of 10. The y-axis is drawn in increments of 1 but labeled in increments of 2. The line passes approximately through left parenthesis 0 comma 8 right parenthesis, left parenthesis 10 comma 6 right parenthesis, left parenthesis 15 comma 5 right parenthesis, left parenthesis 20 comma 4 right parenthesis, left parenthesis 25 comma three right parenthesis, and left parenthesis 40 comma 0 right parenthesis. 14 points are plotted close to or on the line.

1 answer

Based on your description of the scatterplot, it seems to depict a negative correlation between the x-axis values (ranging from 0 to 50) and the y-axis values (ranging from 0 to 10). The line indicates that as the values on the x-axis increase, the values on the y-axis decrease.

Here are some observations that can be drawn from the information you've provided:

  1. Direction of Relationship: The line slopes downward from left to right, suggesting a negative relationship between the two variables. As one variable increases, the other decreases.

  2. Data Points: The presence of 14 points plotted close to or on the line indicates a strong correlation between the two variables. The closer the points are to the line, the stronger the relationship.

  3. Specific Points: The points you mentioned, such as (0, 8), (10, 6), (15, 5), (20, 4), (25, 3), and (40, 0), provide specific examples of this trend, reinforcing the idea that higher x-values correspond with lower y-values.

  4. Axes Labels and Increments: The x-axis is labeled in increments of 10 while drawn in increments of 5, and the y-axis is labeled in increments of 2 while drawn in increments of 1. This can sometimes create confusion in interpreting the scale, but it also highlights the details of the data points better.

  5. Applications: Such data might represent a variety of relationships in practical scenarios, such as age versus physical ability, time spent studying versus test scores, or any other situation where one variable inversely affects another.

If you have a specific question regarding the scatterplot or if you need further analysis, please let me know!