linear dependence and independence

Which of the following statement(s) is/are true? I. A multiple regression correlation R can also be computed to determine if a significant relationship exists between the variables. II. Multiple regression analysis is used when there are two or more independent variables contributing to t..

Solve system of equations. Determine whether the system is consistent and independent, consistent and dependent, or inconsistent by using augmented matrices. x - y + 3 z = 5 4 x + 2 y - z = 0 x +3 y + z = 5 => (10, - 10, - 5); consistent and independent..

Determine whether the system represented by the augmented matrix is consistent and independent, consistent and dependent, or inconsistent. ( 1 1 1 | 4 2 5 - 2 | 3 1 7 - 7 | 5 ) => consistent and dependent or consistent and independent or inconsistent..

State whether the system is consistent and independent, consistent and dependent, or inconsistent using Elimination method. x - 13 y - 168 z = - 170 13 x + y = 144 z 12 x + 36 z = 183 - 15 y => Consistent and independent or Cannot be determined or Consistent and d..

State whether the system is consistent and independent, consistent and dependent, or inconsistent using Elimination method. 3 x - 3 y + z = 9 x + y + z = 3 18 x + 12 z = - 4 => Inconsistent or Consistent and dependent or Consistent and independent or Cannot b..

State whether the system is consistent and independent, consistent and dependent, or inconsistent using Elimination method. x 3 + y 2 + z = 3 2 x 3 - y - z 2 = 5 y + 5 z 4 = 1 => Inconsistent or Consistent and dependent or Cannot be determined or Consistent and in..

State whether the system is consistent and independent, consistent and dependent or inconsistent using the elimination method. x - 11 y - 120 z = - 122 11 x + y = 100 z 10 x + 30 z = 133 - 13 y => Cannot be determined or Inconsistent or Consistent and dependent or Cons..

State whether the system is consistent and independent, consistent and dependent, or inconsistent using Elimination method. 8 x 7 + y 8 = z + 1 1 5 x 4 9 - 8 z 4 9 = - 1 x - y 8 = z 7 - 8 => Consistent and dependent or Cannot be determined or Inconsistent or Consistent..

State whether true or false: "Two uncorrelated variables may not be independent.". Choose the correct statement for the data given in the table. x - 4 - 2 0 2 4 y 256 16 0 16 256 => false; two uncorrelated variables are always independent or true; two uncorrelated variables are ..

The average rate of change of a linear function f ( x ) = 4 α x + β over [4, 5] => depends on α or depends on the values of α , β or depends on β or depends on either α or β..