Question

old faithful eruptions
what is a characteristic of this graph?
there is no line of best fit.
there is a negative correlation.
there are several outliers.
there is an inverse relationship.

Explanation:

Step1: Analyze the line of best fit

There is a line of best fit drawn on the scatter - plot, so the option "There is no line of best fit" is incorrect.

Step2: Analyze the correlation type

As the \(x\) - value (eruption duration) increases, the \(y\) - value (waiting time) also increases. In a negative correlation, as \(x\) increases, \(y\) decreases. So the option "There is a negative correlation" is incorrect.

Step3: Analyze the relationship type

An inverse relationship is a negative relationship. Since the data shows a positive trend (as \(x\) increases, \(y\) increases), the option "There is an inverse relationship" is incorrect.

Step4: Analyze the outliers

Outliers are data points that are far from the general pattern of the data. Looking at the scatter - plot, there are several points that are not close to the line of best fit compared to the majority of the data points.

Answer:

There are several outliers.