If There Are Three Independent Variables $X _ { 1 } , X _ { 2 } , X _ { 3 }$

True/False

If there are three independent variables $X _ { 1 } , X _ { 2 } , X _ { 3 }$ available, then the value of $R ^ { 2 }$ for a multiple regression of $y$ using $X _ { 1 } , X _ { 2 } , X _ { 3 }$ will always be smaller than the value of $r ^ { 2 }$ for a multiple regression of $y$ using just $X _ { 1 }$ .