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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..
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..
Which of the following statement(s) is/are true?I. The variable that c..
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..
The means of each group of a two-way analysis of variance for two inde..
The means of each group of a two-way analysis of variance for two independent variables are plotted and shown in the three graphs. Which of these represents an ordinal interaction? Consider the interaction to be significant. => Graph 2 or Both graph 1 and graph 2 or Graph 3 or G..
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..
Graph of Linear Equation in one variable
Graph of Linear Equation in one variable - ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y, for all values of y, x = -2 Hence x = -2 is a line parallel to the y-axis at x = -2. Con..
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..
A function is described by the equation f(x) = 2x + 1. The replacement..
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..
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