The dependent variable is the variable that is being measured or tested in an experiment. 1 For example, in a study looking at how tutoring impacts test scores, the dependent variable would be the participants’ test scores, since that is what is being measured.

Measurement is an observation made more specific by comparing some attribute of a system to a standard of reference. An example is when the length of an object is expressed in terms of the length of a meter or when the mass of an object is expressed by referring to a standard such as a gram.

Bias. This is an unwanted influence on a sample.

A scatter plot is often used to show relationships between independent and dependent variables. Instead of connected data points with a line, a best-fit line can be used to find a trend in data.

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line). The x and y axes cross at a point referred to as the origin, where the coordinates are (0,0).

Bar graph – A bar graph shows the quantity of dependent variable verses the independent variable.

(noun) A system of equations with a single solution. For systems of equations in three variables, this solution is an ordered triple ( x , y , z ) (x, y, z) (x,y,z) that represents the single point of intersection of the three planes.

An independent variable is a variable that does not depend on any other variable for its value. For example, in an expression, 2y = 9x + 1, x is an independent variable. So, for each value of x, there will be a different value of y.

An independent variable is a variable that represents a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.

A dependent system of equations has infinite solutions, and an independent system has a single solution.

independent system: A system of linear equations with exactly one solution pair. dependent system: A system of linear equations in which the two equations represent the. same line; there are an infinite number of solutions to a dependent system.

Now, if we can find non-zero constants c and k for which (1) will also be true for all x then we call the two functions linearly dependent. On the other hand if the only two constants for which (1) is true are c = 0 and k = 0 then we call the functions linearly independent.

If f and g are two differentiable functions whose Wronskian is nonzero at any point, then they are linearly independent. If f and g are both solutions to the equation y + ay + by = 0 for some a and b, and if the Wronskian is zero at any point in the domain, then it is zero everywhere and f and g are dependent.

2 Answers. The importance of the Wronskian is the fact that its non-zero can tell you about linear independence (if it is zero, you need some additional conditions to say something about linear dependence).