State whether each of the following statements is true or false.
a. The error sum of squares must be smaller than the regression sum of squares.
b. Instead of carrying out a multiple regression, we can get the same information from simple linear regressions of the dependent variable on each independent variable.
c. The coefficient of determination cannot be negative.
d. The adjusted coefficient of determination cannot be negative.
e. The coefficient of multiple correlation is the square root of the coefficient of determination.