COEFFICIENT Meaning and
Definition
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A coefficient is a mathematical term that refers to a value or factor that multiplies a variable or term in an algebraic expression or equation. In other words, it is a constant or numerical value that is associated with a specific variable, usually reflecting the relationship or magnitude between different variables.
In algebraic equations, coefficients are represented by letters or numerical values located in front of the variables. For instance, in the equation 3x + 2y = 7, the coefficients are 3 and 2, which multiply the variables x and y, respectively. These coefficients determine how much the variables contribute to the overall value of the equation.
Coefficients also play a crucial role in polynomial equations, where they appear in the form of powers of variables. Each term within the polynomial has its own coefficient, which represents the scalar factor multiplying the variable raised to a specific power. In the equation 4x^2 + 2x + 1, the coefficients are 4, 2, and 1 for the terms x^2, x, and the constant 1, respectively.
The coefficient of determination, also known as R-squared, is a statistical measure commonly used to assess the goodness of fit of a regression model. It represents the proportion of the dependent variable's variability that can be explained by the independent variables.
In summary, a coefficient is a numeric or constant value that multiplies a variable or term in an equation, serving as a measure of the relationship or magnitude between different variables.
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The expression of the amount or degree of any quality possessed by a substance, or of the degree of physical or chemical change normally occurring in that substance under stated conditions.
A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.
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• That which unites with something else to produce the same effect; in alg., the figure or known number or quantity put before the letter or letters that denote an unknown number or quantity, or partly known and partly unknown.
• Co-operating; acting to the same end.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
Top Common Misspellings for COEFFICIENT *
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Other Common Misspellings for COEFFICIENT
Etymology of COEFFICIENT
The word "coefficient" is derived from the Latin word "coefficientem", which is the present participle of the verb "coëfficere". "Coëfficere" is a compound word, formed by combining "co-" meaning "together" and "efficere" meaning "to accomplish" or "to make". Therefore, the literal translation of "coëfficere" is "to accomplish together" or "to make together". In mathematics, a coefficient is a factor that accompanies and multiplies a variable or an unknown quantity in an algebraic expression or equation, contributing to achieving a result.
Similar spelling words for COEFFICIENT
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