Question

Consider removing the point (50, 25) and calculating a new least-squares regression line. What effect(s) would removing this point have? Choose all answers that apply:

1) The slope of the regression line would increase
2) The slope of the regression line would decrease
3) The y-intercept of the regression line would increase
4) The y-intercept of the regression line would decrease
5) The correlation coefficient would increase
6) The correlation coefficient would decrease

Answer 1

Removing the point (50, 25) from the calculation of the least-squares regression line would increase the slope and y-intercept of the regression line, but decrease the correlation coefficient.

Step-by-step explanation:

Removing the point (50, 25) from the calculation of the least-squares regression line would have the following effects:

1. The slope of the regression line would increase.
2. The y-intercept of the regression line would increase.
3. The correlation coefficient would decrease.

This means that the new regression line would have a steeper slope and a higher y-intercept compared to the original line. However, the correlation between the variables would be weaker.