12.85 State whether each of the following statements is true or false.

a. The purpose of constructing a multiple regression is to assess whether there is a significant difference between independent variables.

b. The t statistic is used to determine the significant predictors of a model.

c. We can determine the t (or z) statistic by dividing the regression coefficient over the standard error.

d. The coefficient of correlation determines the change of the dependent variable size, which is caused by a change of the independent variable.

e. Multiple regression analysis is used to determine the relationship between a dependent variable and more than one independent variables.