Question

question 1
which phrase best describes the pattern shown in the scatterplot?
clustered around a central value
positive nonlinear association
negative linear association

Explanation:

• Clustered around a central value: This would mean the points are grouped near one \(x\) or \(y\) - value. But the points in the scatter - plot are spread along a line, not clustered around a single central \(x\) or \(y\) value.
• Positive nonlinear association: A positive association means as \(x\) (study time) increases, \(y\) (screen time) would increase. Here, as study time (\(x\)) increases, screen time (\(y\)) decreases. Also, the points seem to follow a linear (straight - line) trend, not a nonlinear (curved) trend.
• Negative linear association: A negative association means as \(x\) (study time) increases, \(y\) (screen time) decreases. The points in the scatter - plot follow a straight - line (linear) pattern where an increase in \(x\) (study time) is accompanied by a decrease in \(y\) (screen time).

Answer:

Negative linear association