## Meaning of Coefficient

## What is Coefficient:

Coefficient is synonymous with figure, factor or proportion. Etymologically, it is composed of the Latin prefix *cum*, which means 'with', and *efficients*, which derives from the verb of *efficere*, and translates ‘do’, ‘work’. Therefore, in certain contexts, it works as an adjective that refers to something that, together with something else, contributes to producing a certain effect.

In Mathematics, for example, coefficient is a multiplicative factor, that is, the constant number that is to the left of a variable or unknown and multiplies it. For example, 3X = X + X + X, where 3 is the coefficient of the variable X.

In Physics, the coefficient is a numerical value that indicates the degree or intensity of a certain property or characteristic, be it of a body or of a phenomenon.

Within Psychology, IQ can also refer to a measurement of a person's reasoning skills to calculate their intellectual level (see IQ here).

## Coefficient of variation

In Statistics, the coefficient of variation is a measurement used to analyze the relationship between the standard deviation of a sample and its arithmetic mean, all in order to find the relative dispersion. In this sense, the coefficient of variation is a way of expressing the variability of the data, leaving out the influence of the order of the dimensions in the variable, but considering the proportion between the means and the standard deviation.

## Correlation coefficient

Pearson's correlation coefficient (named after Karl Pearson, who formulated it) is a measure used in Statistics to calculate the degree of linear relationship between two random variables, therefore, it is also known as linear correlation coefficient.

## Coefficient of friction

In Physics, the coefficient of friction, also called the coefficient of friction, indicates the opposition to sliding offered by the surfaces of two bodies in contact. In this sense, there are two types of friction coefficients: static, that is, that of two surfaces at rest, where no movement is recorded, and dynamic, which is when both surfaces are in relative motion, one with respect to the other. Generally the coefficient of friction is expressed with the Greek letter μ.

## Expansivity

The coefficient of expansion is called, in Physics, the quotient obtained from the measurement of the relative change in length or volume that a body experiences, whether it is in a solid, liquid or gaseous state, when it is subjected to a change in temperature. , which may be ascending or descending. In this sense, the increase in temperature will be proportional to the expansion, be it linear, superficial or volumetric.

### Coefficient of linear expansion

The coefficient of linear expansion measures the variations in the dimension of solid bodies (be it the width, length or height of the body, never more than one) when they are subjected to changes in temperature.

### Surface expansion coefficient

The coefficient of superficial expansion is also found in solid surfaces, which expand or contract according to the variation in temperature, and it is recorded in two dimensions. In this sense, this type of expansion coefficient varies the total surface area, since it occurs in two dimensions.

### Volumetric expansion coefficient

The volumetric expansion coefficient is used to calculate the volume variations (that is, in three dimensions) that occur on solid, gaseous or liquid surfaces, when changes in temperature cause the body to contract or expand.

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