Question

which statement about the scatterplot is true?
the point (10, 15) shows there is no relationship between the age of a car and the value of a car.
by excluding (10, 15), a better description can be given for the data set.
by including (10, 15), the description of the data set can be understated.
although (10, 15) is an extreme value, it should be part of the description of the relationship between the age of a car and the value of the car.

Explanation:

Step1: Analyze the scatter - plot trend

Looking at the scatter - plot (excluding the point \((10,15)\)), as the age of the car (x - axis) increases, the value of the car (y - axis) generally decreases. This indicates a negative trend.

Step2: Evaluate the outlier \((10,15)\)

The point \((10,15)\) does not follow the general negative trend of the other data points. It is an outlier. Excluding an outlier can often give a better description of the relationship (in this case, the negative relationship between car age and car value) for the majority of the data points in the data - set.

Answer:

By excluding \((10,15)\), a better description can be given for the data set.