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coefficient
2X 2 is the coefficient
The coefficient is the number that multiplies a value. For example, the coefficient of 4x is 4. If n+3 is in brackets in the form (n+3) then the coefficient is one. If not the the coefficient of n is also 1.
A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.
Yes it can be a correlation coefficient.