a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2,9), use the pairs of values for the remaining 9 points and find the equation of the regression line. 10- 8- 6- c. Compare the results from parts (a) and (b). 0- 0 2 4 6 8 10 a. What is the equation of the regression line for all 10 points? y=+x (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 9 points? y = (Round to three decimal places as needed.) c. Choose the correct description of the results below. O A. The removal of the point has a significant impact on the regression line. B. The regression line is very similar in both cases. Oc. There is no regression line for the second case because the data are in a pattern. O D. The regression line changes, but the change is small.

a. The pairs of values for all 10 points are (2, 9), (4, 2), (4, 3), (4, 4), (5, 2), (5, 3), (5, 4), (6, 2), (6, 3), (6, 4). The equation of regression line is obtained by using EXCEL. The software procedure is given below: In first column enter data values of x. In second column enter data values of y. Select Insert > Scatter under Charts. Select Design > Layout 9 under Chart Layouts. Click OK. The output using EXCEL is as follows: From EXCEL output, the equation of the regression line for all 10 points is y^=9-1.149x. Thus, the equation of the regression line for all 10 points is y^=9-1.149x.b. The equation of regression line is obtained by using EXCEL. The software procedure is given below: In first column enter data values of x. In second column enter data values of y. Select Insert > Scatter under Charts. Select Design > Layout 9 under Chart Layouts. Click OK. The output using EXCEL is as follows: From EXCEL output, the equation of the regression line for the set of 9 points is y^=3. Thus, the equation of the regression line for the set of 9 points is y^=3.c. The equation of the regression line for all 10 points has a negative slope. When the point (2,9) is removed from the data set the regression line for the set of 9 points has zero slope. This shows that, removing the points has significantly changed the regression line. Correct Answer: Option A. The removal of the point has a significant impact on the regression line.