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Cramer's rule for the solution of a system of equations in 2 variables
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 Matrices and Determinants
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..
Matrices, Determinants Conclusion
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 ..
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..
For any specific value of the independent variable, the values of the ..
For any specific value of the independent variable, the values of the dependent variable y are normally distributed. This is called the __________ assumption. => independence or linearity or equal - variance or normality..
There is a linear relationship between the dependent variable and the ..
There is a linear relationship between the dependent variable and the independent variables. This is called the ________ assumption. The independent variables are not correlated. This is called the _______ assumption. => nonmulticolinearity, lineari..
A function is described by the equation f(x) = x + 1. The replacement ..
A function is described by the equation f ( x ) = x + 1. The replacement set for the independent variable is {1, 3, 5, 7}. Which of the following is not contained in the corresponding set for the dependent variable? => 6 or 10 or 8 or 4..
Which of the following statement(s) is/are true for correlation?I. If ..
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..
Which of the following statement(s) is/are true?I. A multiple regressi..
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 multiple correlation coefficient when there are on..
The formula for the multiple correlation coefficient when there are only two independent variables using r yx 1 , r yx 2 and r x 1 x 2 is => II or III or I or IV..
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