independent variables in math

We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solutio..

Application of Determinants, Area of a Triangle, Cramer's rule for the solution of a system of equations in 2 variables, Consistency of a system of linear equation. Application of Matrices, Homogeneous Equations (Constant = 0), Non Homogenous Equations (Solution by the Matrix..

Conclusion - We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jo..

Which of the following statement(s) is/are false? I. The variances (or standard deviations) for the y variables are the same for each value of the independent variable. This is equal - variance assumption. II. There is a linear relationship between the dependent v..

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..

The formula for the adjusted R 2 using n the number of datasets and k the number of independent variables is => R 2 adj = 1 - [ ( 1 - R 2 ) ( n - 1 ) n - k - 1 ] or R 2 adj = 1 - [ R 2 ( n - 1 ) n - k - 1 ] or R 2 adj = 1 - [ R 2 ( n - k - 1 ) n - 1 ] or R 2 adj = 1 - [ ( 1 - R ..

Which of the following statement(s) is/are true for correlation? I. If the change in one variable affects a change in the other variable, the variables are said to be correlated. II. Correlation coefficient is independent of change of origin and scale. III. I..

A function is described by the equation f ( x ) = 2 x + 1. The replacement set for the independent variable is {0, 2, 3, 4}. Which of the following is contained in the corresponding set for the dependent variable? => 9 or 2 or 3 or 15..

A function is described by the equation f ( x ) = 3 x + 5. The replacement set for the independent variable is {1, 2, 5, - 7}. Which of the following is contained in the corresponding set for the dependent variable? => - 1 or - 16 or 26 or - 8..

The formula for the F test used to test the significance of the multiple correlation coefficient R using n the number of data sets and k the number of independent variables and d.f. N = n - k , d.f. D = n - k - 1 is => R 2 ( n - k ) 1 - R 2 ( n - k - 1 ) or 1 - R 2 ( n - k ) R 2..