Question: Which of the following statement(s) is/are true? I. A multiple regression equation with three independent variables x1, x2 and x3 and one dependent variable would have the form y′ = a + b1x1 + b2x2 + b3x3. II. A multiple regression equation with two independent variables is a plane rather than a line. III. In a multiple regression equation, the b's are called partial regression coefficients. IV. The general form of the multiple regression equation with k independent variables is y′ = a + b1x1 + ... + bkxk.
A ) II, III and IV only B ) I, III and IV only C ) I and II only D ) all are correct
Steps to derive
1 A multiple regression equation with three independent variables x1, x2 and x3 and one dependent variable would have the form y′ = a + b1x1 + b2x2 + b3x3.
2 A multiple regression equation with two independent variables constitutes a plane rather than a line.
3 In a multiple regression equation, the b's are called partial regression coefficients.
4 The general form of the multiple regression equation with k independent variables is y′ = a + b1x1 + b2x2 + b3x3 + ... + bkxk.
