Question

the scatterplot shows the depth of water in swimming pools, y, based on the days after filling, x. what can you conclude from the graph? check all that apply. the depth of the water in the swimming pool decreases over time. the data are clustered. there are no outliers in the data. in general, increased time does not affect the depth of the water in the swimming pool.

Explanation:

• For "The depth of the water in the swimming pool decreases over time": As \(x\) (days after filling) increases, \(y\) (depth) generally decreases.
• For "The data are clustered": The points are grouped together rather than being spread out randomly.
• For "There are no outliers in the data": All points follow the general trend of the cluster.
• For "In general, increased time does not affect the depth of the water in the swimming pool": This is incorrect as the data shows a relationship between time (\(x\)) and depth (\(y\)).

Answer:

• The depth of the water in the swimming pool decreases over time.
• The data are clustered.
• There are no outliers in the data.