# Mathematical Dependent vs Independent Variables Essay

1136 Words Mar 20th, 2013 5 Pages
Mathematics
In calculus, a function is a map whose action is specified on variables. Take x and y to be two variables. A function f may map x to some expression in x. Assigning gives a relation between y and x. If there is some relation specifying y in terms of x, then y is known as a dependent variable (and x is an independent variable).
Statistics
In a statistics experiment, the dependent variable is the event studied and expected to change whenever the independent variable is altered.
Modelling
In mathematical modelling, the dependent variable is studied to see if and how much it varies as the independent variables vary. In the simple stochastic linear model the term is the i th value of the dependent variable and is i th
So that variable will be kept constant or monitored to try to minimise its effect on the experiment. Such variables may be called a "controlled variable" or "control variable" or "extraneous variable".
Extraneous variables, if included in a regression as independent variables, may aid a researcher with accurate response parameter estimation, prediction, and goodness of fit, but are not of substantive interest to the hypothesis under examination. For example, in a study examining the effect of post-secondary education on lifetime earnings, some extraneous variables might be gender, ethnicity, social class, genetics, intelligence, age, and so forth. A variable is extraneous only when it can be assumed (or shown) to influence the dependent variable. If included in a regression, it can improve the fit of the model. If it is excluded from the regression and if it has a non-zero covariance with one or more of the independent variables of interest, its omission will bias the regression's result for the effect of that independent variable of interest. This

## Related Documents

• ###### Lab Experiment : How Much A Spring Resists Change ( Compression Or Expansion )

method changing a mass and measured the change in x. Theory Free Body Diagram a=0 Legend: ¬¬ a-acceleration Sp-Spring N-Normal S-Surface E-Earth C-Cart G-Gravity y- Y-Component x- X-Component Mathematical Model Basic Equations: Force Equation (used to find the force of any given object): F=ma F-Net Force, m-mass, a-acceleration Summation of Forces on X-Axis: 〖ΣF〗^x=F^(G,x)-F^Sp 〖ΣF〗^x is the sum of the forces on the x-axis, denoted by the superscript…

Words: 1345 - Pages: 6
• ###### Essay Should Content Validity Be Useful Or Irrelevant?

valuable or constructs, that is supposed to measure, trait appear to what claims to do. For example, 300 various college students took a mathematical aptitude test and after complete a questionnaire asking the following questions What is been measured? What do you think about the purpose of this test? Do you feel the test was satisfactory was measure of your mathematical skills? To see if the aptitude test has face validity base on the questionnaire results from the participants. Bias testing- is a…

Words: 2266 - Pages: 10
• ###### Essay on Math Ia

of the test takers around the world. With the collection of data that I have acquired, a number of mathematical processes were used to analyze the data: a scatter plot of the data, calculation of the least squares regression line and correlation coefficient. I am going to do a χ2 test on the data to show the dependence of SAT scores and family income of the test takers around the world. Mathematical Investigation Collected Data Family income of test takers | Percentage of test takers within each…

Words: 2157 - Pages: 9
• ###### Cultural Performance Essay

masculinity, and finally, the ways people deal with conflicts existing within themselves or shared with their environment. Relatively, Hofstede concluded that culture is to be divided into four dimensions, power distance, collectivism vs. individualism, femininity vs. masculinity, and uncertainty avoidance. In this research, we wish to concentrate on a dimension of most interest to us, individualism. It is a “doctrine promulgated by such theorists as the English philosopher Thomas Hobbes and the…

Words: 2026 - Pages: 9
• ###### Midterm Review Essay

Interactive Management Science MS&E 107/207, Midterm Review The Flaw of the Averages Mindle 1 / Uncertainty vs. Risk * Risk is in the eye of the beholder * Risk reflects how uncertain outcomes cause loss or injury to a particular individual or group * Risk attitude measures the willigness to incur risk in the quest of reward * Different risks to the same uncertainty Mindle 2 / An uncertain number is a shape * A distribution * “Uncertain numbers” * Risk is subjective…

Words: 1486 - Pages: 6
• ###### Psych Essay

exist. As memory becomes stronger in infants they can distinguish adults they are familiar with and those that are “strangers.” 1d. Koleen McCrink and Karen Wynn believe that infants beginning as young as 5-months old can actually recognize simple mathematical scenarios. As they grow older, around the age of 9-months, they are able to also keep track of the difference between two numbers, recognize larger groups of things compared to smaller groups, as well as do small-scale addition and subtraction…

Words: 1580 - Pages: 7
• ###### Essay A Study On Concrete Manipulatives

than those whose experiences are meager.” (Kennedy, 1986, p. 6) Although more expensive, concrete manipulatives are a hands on experience that can’t be replicated by virtual objects. Some students thrive with hands on learning and thus would grasp mathematical concepts to a great degree. In the following section, we take an in depth look at concrete manipulatives through multiple studies and action research projects. Also, there will be a thorough look at two comparison studies in achievement based on…

Words: 1623 - Pages: 7
• ###### Essay about Ohm's Law

the resistance between them provided the temperature remains constant. The mathematical equation that describes this relationship is: where V is the potential difference measured across the resistance in units of volts; I is the current through the resistance in units of amperes and R is the resistance of the conductor in units of ohms. More specifically, Ohm's law states that the R in this relation is constant, independent of the current. The law was named after the German physicist Georg Ohm, who…

Words: 1971 - Pages: 8
• ###### Essay Using The Single Sample T Test

would focus on the treatment and outcome upon discharge. Procedures. The independent variable is developmental disabilities vs. the general population and the dependent variable is medical malpractice. The scale of measurement would be a combination of interval scale, ordinal scale, and ratio. It would be interval or continuous, as I would want to measure the gap between both groups, and the numbers can be used in mathematical functions (Sukal, 2013). Then the results would be ranked accordingly by…

Words: 1138 - Pages: 5
• ###### Sampling and Research Essay

operationalised as ‘the log of number of employees’ Variables – ‘measures of our concepts or constructs’. An object or symbol to which values can be assigned. Can be observed and measured. Eg. Customer satisfaction (0 – 100) Dependant (criterion) variables – represents the outcome in which a researcher is interested Independent variables – causes or explains variance and outcomes in a dependant variable Moderating variables – a type of independent variable that is included because it is believed to…

Words: 8919 - Pages: 36