Consider the following sample data of X and Y:

X Y

8 ............22.30

6 ............16.71

9 ............25.21

6 ............15.84

1 ............ 2.75

8 ............21.22

2 ............ 5.27

1 ............ 2.32

10 .............27.39

7 ............19.35

a. Regress Y against X without any constraints. What is the regression equation? Predict Y when X = 10.

b. Force the regression line through the origin. What is the new regression equation? Predict Y when X = 10 with this equation.

c. Force the regression line to go through the point (5, 13). What is the new regression line? What is the new regression equation? Predict Y when X = 10 with this equation.

d. Regress Y against X with the constraint that the slope must be less than or equal to 2. What is the new regression equation? Predict Y when X = 10 with this equation.