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How does the dependent variable change as the independent variable changes in a linear relationship?
Wiki User
∙ 12y ago
well, the dependent variable doesn't change the independent...but i am doing he home wrk that has the EXACT question in it ( it is 1/21/10)i am quite cunfuzzled and need help!
Wiki User
∙ 12y ago
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Coefficient of regration x on y?
Conventionally, the dependent variable is denoted by y, the independent variable(s) by x; and the regression is of y on x. The coefficient of regression of x on y is a measure of the degree to which variations in y are reflected by variations in x. This does not mean that changes in y cause changes in x since both could be affected by something else entirely.
What do the peaks of the graph represent?
They represent local maxima: points where small changes in the x-variable, in either direction, result in reductions in the y-variable.
What does c equal?
In math, a number signified by "C" is a constant number. A constant is the opposite of a variable. While a variable changes, a constant will always stay the same. For example, in the equation y = 4x + 10, 10 is a constant. If you did not know the value of 10 (for example, if you had just integrated), it could be written as y = 4x + c.
What is calculus 1?
Traditionally, and in my learning experiences, calculus is taught in three stages, often referred to as Calculus I, Calculus II, and Calculus III (often shortened to Calc I, Calc II, Calc III). You are asking about Calculus I only, but it is easy to explain all three. Calc I usually covers only derivative calculus, Calc II covers integral calculus and infinite series, and Calc III covers both derivative and integral calculus, but in multiple variables instead of only one independent variable ( xyz = x+y+z as opposed to y = x). This is a traditional collegiate leveling of calculus. This is often changed around in secondary education (in the United States at least). Programs such as AP Calculus often change around this order. AP Calculus AB covers Calc I and introduces Calc II, while AP Calculus BC covers the remainder of Calc II. Now that you know the subject matter, what does it mean? Derivative calculus is a generalized category meant to encompass the computation and application of only derivatives, which are basically rates of change of a mathematical function. A basic mathematical function such as y = x + 2 describes a mathematical relationship: for every additional independent variable "x", a dependent variable "y" will have a value of (x + 2). But, how do you describe how quickly the value of "y" changes for each additional "x"? This is where derivatives come from. The derivative of the function y = x + 2, as you would learn in Calc I, is y' = 1. This means that y changes at a constant rate (called y') of "1" for each additional x. In more familiar terms, this is the slope of this function's graph. However, not all functions have constant slopes. What about a parabola, or any other "curvy" graph? The "slopes" of these graphs would be different for any given value of a dependent variable "x". A function such as y = x2 + 2 would have a derivative, as you would learn in Calc I, of y' = 2x, meaning that the original value of "y" will change at a rate of two times the value of "x" (2x), for each additional increment of "x". You can continue into further derivatives, called second, third, fourth (and so on) derivatives, which are derivatives of derivatives. This is essentially asking "At what rate does a derivative change?". The beginning of Calc I is concerned with introducing what a derivative is, ways to describe the behavior of mathematical functions, and how to compute derivatives. After this introduction is complete, you will begin to apply derivatives to mathematical problems. The description of how derivatives are used to solve these problems is not worth going into, because it would be better for you to connect derivatives to their applications on your own, but you can use derivatives to answer such questions as: What is the maximum/minimum value of a mathematical function on a given interval or on its entire domain? This kind of knowledge can be applied like so: Suppose a mathematical function is found that describes the volume of a box. Knowing that you can use the derivative of this function to find its maximum value, you can then find what value of a certain variable will yield the maximum volume of the box. Another type of application is called a "related rates" problem, in which a known mathematical relationship is used with some given information to describe another property. A question of this type could be: Suppose you have a cylindrical tank of water with a small hole in the bottom, and you measure that the water is flowing out at 2 gallons per minute. At what rate is the height of the water in the tank changing? (This is a simple related rates problem). A full description of integral calculus (Calc II and a basis of Calc III), would take far too long to explain, and it would be easier to explain once you have taken Calc I. Calc III takes the same idea as Calc I and Calc II, but instead of one independent variable "x" changing one dependent variable "y", there are several variables, although in most applications you will only see three, "x", "y", and "z", although the ideas you will learn in the class will apply to potentially infinite variables. The basic ideas of derivatives and integrals will hold here, but the mathematical methods needed and applications possible with multiple variables require additional learning.
What happens to the value of y when the value of x changes in y equals 4x?
y = 4x as the value of y changes value of x changes by 4 times :) its simple
Manipulated independent variable?
The manipulated/independent variable is a variable that changes and it is what the responding/dependent variable change because of the manipulated variable.
How does the independent variable affects the dependent?
the dependent variable changes based on the independent variable
Why does the dependent variable change as the independent variable changes into a linear relationship?
The independent variable is the variable that you change and manipulate in an equation. This causes the dependant variable to change.
What is the diffrence between dependent variable and independent variable?
the dependent variable changes with the independent variable. the independent variable only changes when changed by the experimenter. Time is usually an independent variable.
What causes change in a dependent variable?
The dependent variable is dependent on the independent variable, so when the independent variable changes, so does the dependent variable.
What is the scientific definition of dependent variable?
In science, the dependent variable is what is being tested in the experiment. It changes as the independent variable changes, because it depends on the independent variable. The experiment can measure changes in the dependent variable through controlling the independent variable.
What is the dependent veritable dependent on?
A dependent variable is one that changes based on changes of the independent variable. Or we can say it depends on whatever happens to the independent variable.
Which changes dependent or independent variables?
Independent changes; the dependent variable is what you will measure.
What are the differences between independent and dependent variables?
An independent variable is the variable you can change in an experiment. On a graph, it's on the X-axis. A dependent variable is the result of changing the independent variable. It is literally dependent on it. The dependent variable goes on the Y-axis.
What changes as a result of the independent?
The dependent variable changes as a result of a change in the independent variable. (Hence the name "dependent")
What is a dependent and independent variable?
It depends on what you are looking at. If you want to look at changes in variable Y when a variable X is changed, then X is the independent variable and Y is the dependent. But if you want to look at changes in X which accompany changes in Y, then Y is the independent variable and X is the dependent.
What is a factor that changes in an experiment due to the changes in the independent variable?
Changes in the independent variable will cause changes in the dependent variable.
