Question

If you found the least squares line of best fit and later added another data point that was not on the line, which statement would be true?

A) The new regression line will not include the new point.
B) The new regression line will include the new point.
C) The new regression line will only include the new point if it significantly changes the line.
D) The new regression line will only include the new point if it is an outlier.

Answer 1

The new regression line will include the new point.

Step-by-step explanation:

In the context of least squares regression, if you add a new data point that is not on the line of best fit, the statement that would be true is B) The new regression line will include the new point.

When you add a new data point, it can influence the slope of the regression line and the correlation coefficient. The new regression line will be adjusted to incorporate the new point, which will lead to potential changes in the slope and the overall fit of the line. However, the inclusion of the new point does not automatically mean that it significantly changes the line or that it is necessarily an outlier.