Question: Consider the following sample data of X and Y:
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.