Consider the following sample data of X and Y:
| X |
Y |
| 8 |
22.3 |
| 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.