Question

The following scatterplot shows a company's monthly sales, in thousands of dollars, versus monthly advertising dollars spent, in thousands of dollars. Which of the following points is most likely a high-leverage point with respect to a regression of monthly sales versus advertising dollars?

A) (3, 10)
B) (5, 15)
C) (7, 20)
D) (9, 25)

Answer 1

The point (9, 25) is most likely a high-leverage point with respect to a regression of monthly sales versus advertising dollars.

Step-by-step explanation:

A high-leverage point is a point in a scatterplot that has a large effect on the regression line fit to the data. To determine which point is the most likely high-leverage point, we need to look for a point that is far away from the other points in the scatterplot. In this case, we should look for a point with a large x-value and a large y-value.

From the given options, the point (9, 25) has the largest x-value and y-value compared to the other points. Therefore, the answer is D) (9, 25), which is most likely a high-leverage point with respect to a regression of monthly sales versus advertising dollars.