Question

The following scatterplot shows two variables along with a least-squares regression line. _______following points is an outlier for the data?

Answer 1

The point (65, 175) is an outlier for the data.

Step-by-step explanation:

An outlier is an observed value that is far from the least squares regression line. A rule of thumb is that a point more than two standard deviations of the residuals from its predicted value on the least squares regression line is an outlier.

In this case, the scatterplot shows a least-squares regression line and the point (65, 175) is outside the range of the two extra lines Y2 and Y3. It is considered an outlier because it is more than two standard deviations away from the best-fit line.

Therefore, the point (65, 175) is the outlier for the data.