Question

which statement about the scatterplot is true? in general, the number of hours spent working does not affect the number of hours spent on video games. in general, the amount of weekly time spent working is equal to the amount of weekly time spent on video games. as the amount of time spent working increases, the amount of time spent on video games increases. as the number of hours spent working increases, the amount of time spent on video games decreases.

Explanation:

Step1: Analyze the trend of the scatter - plot

In a scatter - plot, if we observe the relationship between two variables (here, weekly working hours on the x - axis and weekly hours of video games on the y - axis). As the value of the x - variable (weekly working hours) increases from left to right on the graph, we check the behavior of the y - variable (weekly hours of video games).
We can see that as the number on the x - axis (weekly working hours) gets larger, the number on the y - axis (weekly hours of video games) gets smaller.

Step2: Evaluate each option

• Option 1: The scatter - plot shows a relationship (a negative trend), so the number of hours spent working does affect the number of hours spent on video games.
• Option 2: The points are not on the line \(y = x\) (where \(y\) is hours of video games and \(x\) is working hours), so the amounts are not equal.
• Option 3: The trend is negative (as \(x\) increases, \(y\) decreases), not positive.
• Option 4: Since as the \(x\) - value (weekly working hours) increases, the \(y\) - value (weekly hours of video games) decreases, this option is correct.

Answer:

As the number of hours spent working increases, the amount of time spent on video games decreases.