Question

which scatterplot does not suggest a linear relationship between x and y?

Explanation:

Step1: Analyze the first scatter - plot (yellow)

If we try to visualize a line of best - fit, the points seem to follow a general trend (either increasing or decreasing).

Step2: Analyze the second scatter - plot (purple)

The points show a trend where as the number of absences (x) increases, the exam score (y) decreases. A line of best - fit can be reasonably approximated.

Step3: Analyze the third scatter - plot (orange)

The points follow a clear upward trend. A line of best - fit can be drawn to represent the relationship between x and y.

Step4: Analyze the fourth scatter - plot (green)

The points do not follow a linear pattern. There is no clear increasing or decreasing trend that can be approximated by a straight line.

Answer:

The fourth (green) scatter - plot does not suggest a linear relationship between x and y.