math dependent variable

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..

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-Jordan method e..

Each circular permutation corresponds to n linear permutations depending on where we start. Since there are exactly n! linear permutations, there are exactly permutations. Hence, the number of circular permutations is the same as (n-1)..

The above discussion leads to find the solution of a system of linear equations in two variables by using Cramer's rule. Cramer's rule suggests the use of determinants to solve a system of linear equations. Let us denote a 1 b 2 - a 2 b 1 (Denominators of x and y in (4) and (5)) as the de..

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 contrib..

The amount spent by Chris on a birthday party is a function of number of his friends whom he invited. Which of the following is a dependent variable? => Chris′s age or number of members in Chris′s family or number of friends Chris invited or amount spent by Chris on ..

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..

Which of the following statement(s) is/are true? I. The variable that cannot be controlled or manipulated is dependent variable. II. Independent variable is plotted on the y-axis. III. A relationship between four variables only is called multiple re..