Question

a scatter plot and trend line are shown. which statement best explains whether the trend line is a good fit for the data shown in the scatter plot? the trend line is not a good fit because the number of points above and below the trend line are not equal. the trend line is a good fit because the line passes through at least one point in the plot. the trend line is a good fit because the total vertical distance between the line and the points in the plot is small. the trend line is not a good fit because there is an outlier in the plot that does not follow the patt ns in the data.

Explanation:

A good - fit trend line should have the total vertical distance between the line and the data points be small. The first option about the number of points above and below not being equal is not the main criterion for a good fit. Just passing through a point (second option) is not sufficient. The presence of an outlier (fourth option) is not the key factor here as the main idea for a good - fit trend line is the overall closeness of the line to the majority of the points.

Answer:

The trend line is a good fit because the total vertical distance between the line and the points in the plot is small.